Identifier
Mp00235:
Permutations
—descent views to invisible inversion bottoms⟶
Permutations
Mp00239: Permutations —Corteel⟶ Permutations
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Mp00239: Permutations —Corteel⟶ Permutations
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Images
[1] => [1] => [1] => [1,0]
[1,2] => [1,2] => [1,2] => [1,0,1,0]
[2,1] => [2,1] => [2,1] => [1,1,0,0]
[1,2,3] => [1,2,3] => [1,2,3] => [1,0,1,0,1,0]
[1,3,2] => [1,3,2] => [1,3,2] => [1,0,1,1,0,0]
[2,1,3] => [2,1,3] => [2,1,3] => [1,1,0,0,1,0]
[2,3,1] => [3,2,1] => [2,3,1] => [1,1,0,1,0,0]
[3,1,2] => [3,1,2] => [3,1,2] => [1,1,1,0,0,0]
[3,2,1] => [2,3,1] => [3,2,1] => [1,1,1,0,0,0]
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0]
[1,2,4,3] => [1,2,4,3] => [1,2,4,3] => [1,0,1,0,1,1,0,0]
[1,3,2,4] => [1,3,2,4] => [1,3,2,4] => [1,0,1,1,0,0,1,0]
[1,3,4,2] => [1,4,3,2] => [1,3,4,2] => [1,0,1,1,0,1,0,0]
[1,4,2,3] => [1,4,2,3] => [1,4,2,3] => [1,0,1,1,1,0,0,0]
[1,4,3,2] => [1,3,4,2] => [1,4,3,2] => [1,0,1,1,1,0,0,0]
[2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [1,1,0,0,1,0,1,0]
[2,1,4,3] => [2,1,4,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0]
[2,3,1,4] => [3,2,1,4] => [2,3,1,4] => [1,1,0,1,0,0,1,0]
[2,3,4,1] => [4,2,3,1] => [2,3,4,1] => [1,1,0,1,0,1,0,0]
[2,4,1,3] => [4,2,1,3] => [2,4,1,3] => [1,1,0,1,1,0,0,0]
[2,4,3,1] => [3,2,4,1] => [2,4,3,1] => [1,1,0,1,1,0,0,0]
[3,1,2,4] => [3,1,2,4] => [3,1,2,4] => [1,1,1,0,0,0,1,0]
[3,1,4,2] => [3,4,1,2] => [4,3,2,1] => [1,1,1,1,0,0,0,0]
[3,2,1,4] => [2,3,1,4] => [3,2,1,4] => [1,1,1,0,0,0,1,0]
[3,2,4,1] => [4,3,2,1] => [3,4,1,2] => [1,1,1,0,1,0,0,0]
[3,4,1,2] => [4,1,3,2] => [3,1,4,2] => [1,1,1,0,0,1,0,0]
[3,4,2,1] => [2,4,3,1] => [3,2,4,1] => [1,1,1,0,0,1,0,0]
[4,1,2,3] => [4,1,2,3] => [4,1,2,3] => [1,1,1,1,0,0,0,0]
[4,1,3,2] => [4,3,1,2] => [3,4,2,1] => [1,1,1,0,1,0,0,0]
[4,2,1,3] => [2,4,1,3] => [4,2,1,3] => [1,1,1,1,0,0,0,0]
[4,2,3,1] => [3,4,2,1] => [4,3,1,2] => [1,1,1,1,0,0,0,0]
[4,3,1,2] => [3,1,4,2] => [4,1,3,2] => [1,1,1,1,0,0,0,0]
[4,3,2,1] => [2,3,4,1] => [4,2,3,1] => [1,1,1,1,0,0,0,0]
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0]
[1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0]
[1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0]
[1,2,4,5,3] => [1,2,5,4,3] => [1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0]
[1,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,0,1,0,1,1,1,0,0,0]
[1,2,5,4,3] => [1,2,4,5,3] => [1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0]
[1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0]
[1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0]
[1,3,4,2,5] => [1,4,3,2,5] => [1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0]
[1,3,4,5,2] => [1,5,3,4,2] => [1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0]
[1,3,5,2,4] => [1,5,3,2,4] => [1,3,5,2,4] => [1,0,1,1,0,1,1,0,0,0]
[1,3,5,4,2] => [1,4,3,5,2] => [1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0]
[1,4,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => [1,0,1,1,1,0,0,0,1,0]
[1,4,2,5,3] => [1,4,5,2,3] => [1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0]
[1,4,3,2,5] => [1,3,4,2,5] => [1,4,3,2,5] => [1,0,1,1,1,0,0,0,1,0]
[1,4,3,5,2] => [1,5,4,3,2] => [1,4,5,2,3] => [1,0,1,1,1,0,1,0,0,0]
[1,4,5,2,3] => [1,5,2,4,3] => [1,4,2,5,3] => [1,0,1,1,1,0,0,1,0,0]
[1,4,5,3,2] => [1,3,5,4,2] => [1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0]
[1,5,2,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => [1,0,1,1,1,1,0,0,0,0]
[1,5,2,4,3] => [1,5,4,2,3] => [1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0]
[1,5,3,2,4] => [1,3,5,2,4] => [1,5,3,2,4] => [1,0,1,1,1,1,0,0,0,0]
[1,5,3,4,2] => [1,4,5,3,2] => [1,5,4,2,3] => [1,0,1,1,1,1,0,0,0,0]
[1,5,4,2,3] => [1,4,2,5,3] => [1,5,2,4,3] => [1,0,1,1,1,1,0,0,0,0]
[1,5,4,3,2] => [1,3,4,5,2] => [1,5,3,4,2] => [1,0,1,1,1,1,0,0,0,0]
[2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0]
[2,1,3,5,4] => [2,1,3,5,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0]
[2,1,4,3,5] => [2,1,4,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0]
[2,1,4,5,3] => [2,1,5,4,3] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0]
[2,1,5,3,4] => [2,1,5,3,4] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0]
[2,1,5,4,3] => [2,1,4,5,3] => [2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0]
[2,3,1,4,5] => [3,2,1,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0]
[2,3,1,5,4] => [3,2,1,5,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0]
[2,3,4,1,5] => [4,2,3,1,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0]
[2,3,4,5,1] => [5,2,3,4,1] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0]
[2,3,5,1,4] => [5,2,3,1,4] => [2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0]
[2,3,5,4,1] => [4,2,3,5,1] => [2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0]
[2,4,1,3,5] => [4,2,1,3,5] => [2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0]
[2,4,1,5,3] => [4,2,5,1,3] => [2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0]
[2,4,3,1,5] => [3,2,4,1,5] => [2,4,3,1,5] => [1,1,0,1,1,0,0,0,1,0]
[2,4,3,5,1] => [5,2,4,3,1] => [2,4,5,1,3] => [1,1,0,1,1,0,1,0,0,0]
[2,4,5,1,3] => [5,2,1,4,3] => [2,4,1,5,3] => [1,1,0,1,1,0,0,1,0,0]
[2,4,5,3,1] => [3,2,5,4,1] => [2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0]
[2,5,1,3,4] => [5,2,1,3,4] => [2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0]
[2,5,1,4,3] => [5,2,4,1,3] => [2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0]
[2,5,3,1,4] => [3,2,5,1,4] => [2,5,3,1,4] => [1,1,0,1,1,1,0,0,0,0]
[2,5,3,4,1] => [4,2,5,3,1] => [2,5,4,1,3] => [1,1,0,1,1,1,0,0,0,0]
[2,5,4,1,3] => [4,2,1,5,3] => [2,5,1,4,3] => [1,1,0,1,1,1,0,0,0,0]
[2,5,4,3,1] => [3,2,4,5,1] => [2,5,3,4,1] => [1,1,0,1,1,1,0,0,0,0]
[3,1,2,4,5] => [3,1,2,4,5] => [3,1,2,4,5] => [1,1,1,0,0,0,1,0,1,0]
[3,1,2,5,4] => [3,1,2,5,4] => [3,1,2,5,4] => [1,1,1,0,0,0,1,1,0,0]
[3,1,4,2,5] => [3,4,1,2,5] => [4,3,2,1,5] => [1,1,1,1,0,0,0,0,1,0]
[3,1,4,5,2] => [3,5,1,4,2] => [4,3,2,5,1] => [1,1,1,1,0,0,0,1,0,0]
[3,1,5,2,4] => [3,5,1,2,4] => [5,3,2,1,4] => [1,1,1,1,1,0,0,0,0,0]
[3,1,5,4,2] => [3,4,1,5,2] => [5,3,2,4,1] => [1,1,1,1,1,0,0,0,0,0]
[3,2,1,4,5] => [2,3,1,4,5] => [3,2,1,4,5] => [1,1,1,0,0,0,1,0,1,0]
[3,2,1,5,4] => [2,3,1,5,4] => [3,2,1,5,4] => [1,1,1,0,0,0,1,1,0,0]
[3,2,4,1,5] => [4,3,2,1,5] => [3,4,1,2,5] => [1,1,1,0,1,0,0,0,1,0]
[3,2,4,5,1] => [5,3,2,4,1] => [3,4,1,5,2] => [1,1,1,0,1,0,0,1,0,0]
[3,2,5,1,4] => [5,3,2,1,4] => [3,5,1,2,4] => [1,1,1,0,1,1,0,0,0,0]
[3,2,5,4,1] => [4,3,2,5,1] => [3,5,1,4,2] => [1,1,1,0,1,1,0,0,0,0]
[3,4,1,2,5] => [4,1,3,2,5] => [3,1,4,2,5] => [1,1,1,0,0,1,0,0,1,0]
[3,4,1,5,2] => [4,5,3,1,2] => [4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0]
[3,4,2,1,5] => [2,4,3,1,5] => [3,2,4,1,5] => [1,1,1,0,0,1,0,0,1,0]
[3,4,2,5,1] => [5,4,3,2,1] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0]
[3,4,5,1,2] => [5,1,3,4,2] => [3,1,4,5,2] => [1,1,1,0,0,1,0,1,0,0]
[3,4,5,2,1] => [2,5,3,4,1] => [3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0]
[3,5,1,2,4] => [5,1,3,2,4] => [3,1,5,2,4] => [1,1,1,0,0,1,1,0,0,0]
[3,5,1,4,2] => [5,4,3,1,2] => [3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0]
>>> Load all 25044 entries. <<<
[3,5,2,1,4] => [2,5,3,1,4] => [3,2,5,1,4] => [1,1,1,0,0,1,1,0,0,0]
[3,5,2,4,1] => [4,5,3,2,1] => [4,3,5,1,2] => [1,1,1,1,0,0,1,0,0,0]
[3,5,4,1,2] => [4,1,3,5,2] => [3,1,5,4,2] => [1,1,1,0,0,1,1,0,0,0]
[3,5,4,2,1] => [2,4,3,5,1] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0]
[4,1,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,1,1,1,0,0,0,0,1,0]
[4,1,2,5,3] => [4,1,5,2,3] => [5,1,4,3,2] => [1,1,1,1,1,0,0,0,0,0]
[4,1,3,2,5] => [4,3,1,2,5] => [3,4,2,1,5] => [1,1,1,0,1,0,0,0,1,0]
[4,1,3,5,2] => [4,5,1,3,2] => [5,4,2,1,3] => [1,1,1,1,1,0,0,0,0,0]
[4,1,5,2,3] => [4,5,2,1,3] => [5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0]
[4,1,5,3,2] => [4,3,5,1,2] => [4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0]
[4,2,1,3,5] => [2,4,1,3,5] => [4,2,1,3,5] => [1,1,1,1,0,0,0,0,1,0]
[4,2,1,5,3] => [2,4,5,1,3] => [5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0]
[4,2,3,1,5] => [3,4,2,1,5] => [4,3,1,2,5] => [1,1,1,1,0,0,0,0,1,0]
[4,2,3,5,1] => [5,4,2,3,1] => [4,5,1,2,3] => [1,1,1,1,0,1,0,0,0,0]
[4,2,5,1,3] => [5,4,1,2,3] => [4,5,2,3,1] => [1,1,1,1,0,1,0,0,0,0]
[4,2,5,3,1] => [3,5,4,1,2] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0]
[4,3,1,2,5] => [3,1,4,2,5] => [4,1,3,2,5] => [1,1,1,1,0,0,0,0,1,0]
[4,3,1,5,2] => [3,4,5,2,1] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0]
[4,3,2,1,5] => [2,3,4,1,5] => [4,2,3,1,5] => [1,1,1,1,0,0,0,0,1,0]
[4,3,2,5,1] => [5,3,4,2,1] => [3,5,4,1,2] => [1,1,1,0,1,1,0,0,0,0]
[4,3,5,1,2] => [5,1,4,3,2] => [4,1,5,2,3] => [1,1,1,1,0,0,1,0,0,0]
[4,3,5,2,1] => [2,5,4,3,1] => [4,2,5,1,3] => [1,1,1,1,0,0,1,0,0,0]
[4,5,1,2,3] => [5,1,2,4,3] => [4,1,2,5,3] => [1,1,1,1,0,0,0,1,0,0]
[4,5,1,3,2] => [5,3,1,4,2] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0]
[4,5,2,1,3] => [2,5,1,4,3] => [4,2,1,5,3] => [1,1,1,1,0,0,0,1,0,0]
[4,5,2,3,1] => [3,5,2,4,1] => [4,3,1,5,2] => [1,1,1,1,0,0,0,1,0,0]
[4,5,3,1,2] => [3,1,5,4,2] => [4,1,3,5,2] => [1,1,1,1,0,0,0,1,0,0]
[4,5,3,2,1] => [2,3,5,4,1] => [4,2,3,5,1] => [1,1,1,1,0,0,0,1,0,0]
[5,1,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[5,1,2,4,3] => [5,1,4,2,3] => [4,1,5,3,2] => [1,1,1,1,0,0,1,0,0,0]
[5,1,3,2,4] => [5,3,1,2,4] => [3,5,2,1,4] => [1,1,1,0,1,1,0,0,0,0]
[5,1,3,4,2] => [5,4,1,3,2] => [4,5,2,1,3] => [1,1,1,1,0,1,0,0,0,0]
[5,1,4,2,3] => [5,4,2,1,3] => [4,5,1,3,2] => [1,1,1,1,0,1,0,0,0,0]
[5,1,4,3,2] => [5,3,4,1,2] => [3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0]
[5,2,1,3,4] => [2,5,1,3,4] => [5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0]
[5,2,1,4,3] => [2,5,4,1,3] => [4,2,5,3,1] => [1,1,1,1,0,0,1,0,0,0]
[5,2,3,1,4] => [3,5,2,1,4] => [5,3,1,2,4] => [1,1,1,1,1,0,0,0,0,0]
[5,2,3,4,1] => [4,5,2,3,1] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[5,2,4,1,3] => [4,5,1,2,3] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0]
[5,2,4,3,1] => [3,4,5,1,2] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,3,1,2,4] => [3,1,5,2,4] => [5,1,3,2,4] => [1,1,1,1,1,0,0,0,0,0]
[5,3,1,4,2] => [3,5,4,2,1] => [5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0]
[5,3,2,1,4] => [2,3,5,1,4] => [5,2,3,1,4] => [1,1,1,1,1,0,0,0,0,0]
[5,3,2,4,1] => [4,3,5,2,1] => [4,5,3,1,2] => [1,1,1,1,0,1,0,0,0,0]
[5,3,4,1,2] => [4,1,5,3,2] => [5,1,4,2,3] => [1,1,1,1,1,0,0,0,0,0]
[5,3,4,2,1] => [2,4,5,3,1] => [5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0]
[5,4,1,2,3] => [4,1,2,5,3] => [5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0]
[5,4,1,3,2] => [4,3,1,5,2] => [3,5,2,4,1] => [1,1,1,0,1,1,0,0,0,0]
[5,4,2,1,3] => [2,4,1,5,3] => [5,2,1,4,3] => [1,1,1,1,1,0,0,0,0,0]
[5,4,2,3,1] => [3,4,2,5,1] => [5,3,1,4,2] => [1,1,1,1,1,0,0,0,0,0]
[5,4,3,1,2] => [3,1,4,5,2] => [5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0]
[5,4,3,2,1] => [2,3,4,5,1] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,3,5,6,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,6,5,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,4,5,3,6] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,4,5,6,3] => [1,2,6,4,5,3] => [1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,4,6,3,5] => [1,2,6,4,3,5] => [1,2,4,6,3,5] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,4,6,5,3] => [1,2,5,4,6,3] => [1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,2,5,3,6,4] => [1,2,5,6,3,4] => [1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,5,4,3,6] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,2,5,4,6,3] => [1,2,6,5,4,3] => [1,2,5,6,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,5,6,3,4] => [1,2,6,3,5,4] => [1,2,5,3,6,4] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,5,6,4,3] => [1,2,4,6,5,3] => [1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,6,3,4,5] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,6,3,5,4] => [1,2,6,5,3,4] => [1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,6,4,3,5] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,6,4,5,3] => [1,2,5,6,4,3] => [1,2,6,5,3,4] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,6,5,3,4] => [1,2,5,3,6,4] => [1,2,6,3,5,4] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,6,5,4,3] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,3,2,5,6,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,3,2,6,4,5] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,3,2,6,5,4] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,3,4,2,5,6] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,4,2,6,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,3,4,5,2,6] => [1,5,3,4,2,6] => [1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,4,5,6,2] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,4,6,2,5] => [1,6,3,4,2,5] => [1,3,4,6,2,5] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,3,4,6,5,2] => [1,5,3,4,6,2] => [1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,3,5,2,4,6] => [1,5,3,2,4,6] => [1,3,5,2,4,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,5,2,6,4] => [1,5,3,6,2,4] => [1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,5,4,2,6] => [1,4,3,5,2,6] => [1,3,5,4,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,5,4,6,2] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,5,6,2,4] => [1,6,3,2,5,4] => [1,3,5,2,6,4] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,5,6,4,2] => [1,4,3,6,5,2] => [1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,6,2,4,5] => [1,6,3,2,4,5] => [1,3,6,2,4,5] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,6,2,5,4] => [1,6,3,5,2,4] => [1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,6,4,2,5] => [1,4,3,6,2,5] => [1,3,6,4,2,5] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,6,4,5,2] => [1,5,3,6,4,2] => [1,3,6,5,2,4] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,6,5,2,4] => [1,5,3,2,6,4] => [1,3,6,2,5,4] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,6,5,4,2] => [1,4,3,5,6,2] => [1,3,6,4,5,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,4,2,3,6,5] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,4,2,5,3,6] => [1,4,5,2,3,6] => [1,5,4,3,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,4,2,5,6,3] => [1,4,6,2,5,3] => [1,5,4,3,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,4,2,6,3,5] => [1,4,6,2,3,5] => [1,6,4,3,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,4,2,6,5,3] => [1,4,5,2,6,3] => [1,6,4,3,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,4,3,2,5,6] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,4,3,2,6,5] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,4,3,5,2,6] => [1,5,4,3,2,6] => [1,4,5,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,4,3,5,6,2] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,4,3,6,2,5] => [1,6,4,3,2,5] => [1,4,6,2,3,5] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,4,3,6,5,2] => [1,5,4,3,6,2] => [1,4,6,2,5,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,4,5,2,3,6] => [1,5,2,4,3,6] => [1,4,2,5,3,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,4,5,2,6,3] => [1,5,6,4,2,3] => [1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,4,5,3,2,6] => [1,3,5,4,2,6] => [1,4,3,5,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,4,5,3,6,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,4,5,6,2,3] => [1,6,2,4,5,3] => [1,4,2,5,6,3] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,4,5,6,3,2] => [1,3,6,4,5,2] => [1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,4,6,2,3,5] => [1,6,2,4,3,5] => [1,4,2,6,3,5] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,4,6,2,5,3] => [1,6,5,4,2,3] => [1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,4,6,3,2,5] => [1,3,6,4,2,5] => [1,4,3,6,2,5] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,4,6,3,5,2] => [1,5,6,4,3,2] => [1,5,4,6,2,3] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,4,6,5,2,3] => [1,5,2,4,6,3] => [1,4,2,6,5,3] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,4,6,5,3,2] => [1,3,5,4,6,2] => [1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,5,2,3,6,4] => [1,5,2,6,3,4] => [1,6,2,5,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,5,2,4,3,6] => [1,5,4,2,3,6] => [1,4,5,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,5,2,4,6,3] => [1,5,6,2,4,3] => [1,6,5,3,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,5,2,6,3,4] => [1,5,6,3,2,4] => [1,6,5,2,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,5,2,6,4,3] => [1,5,4,6,2,3] => [1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,5,3,2,4,6] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,5,3,2,6,4] => [1,3,5,6,2,4] => [1,6,3,5,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,5,3,4,2,6] => [1,4,5,3,2,6] => [1,5,4,2,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,5,3,4,6,2] => [1,6,5,3,4,2] => [1,5,6,2,3,4] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,5,3,6,2,4] => [1,6,5,2,3,4] => [1,5,6,3,4,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,5,3,6,4,2] => [1,4,6,5,2,3] => [1,6,4,5,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,5,4,2,3,6] => [1,4,2,5,3,6] => [1,5,2,4,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,5,4,2,6,3] => [1,4,5,6,3,2] => [1,6,5,4,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,5,4,3,2,6] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,5,4,3,6,2] => [1,6,4,5,3,2] => [1,4,6,5,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,5,4,6,2,3] => [1,6,2,5,4,3] => [1,5,2,6,3,4] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,5,4,6,3,2] => [1,3,6,5,4,2] => [1,5,3,6,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,5,6,2,3,4] => [1,6,2,3,5,4] => [1,5,2,3,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,5,6,2,4,3] => [1,6,4,2,5,3] => [1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,5,6,3,2,4] => [1,3,6,2,5,4] => [1,5,3,2,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,5,6,3,4,2] => [1,4,6,3,5,2] => [1,5,4,2,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,5,6,4,2,3] => [1,4,2,6,5,3] => [1,5,2,4,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,5,6,4,3,2] => [1,3,4,6,5,2] => [1,5,3,4,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,2,3,5,4] => [1,6,2,5,3,4] => [1,5,2,6,4,3] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,6,2,4,3,5] => [1,6,4,2,3,5] => [1,4,6,3,2,5] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,6,2,4,5,3] => [1,6,5,2,4,3] => [1,5,6,3,2,4] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,6,2,5,3,4] => [1,6,5,3,2,4] => [1,5,6,2,4,3] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,6,2,5,4,3] => [1,6,4,5,2,3] => [1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,6,3,2,4,5] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,3,2,5,4] => [1,3,6,5,2,4] => [1,5,3,6,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,6,3,4,2,5] => [1,4,6,3,2,5] => [1,6,4,2,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,3,4,5,2] => [1,5,6,3,4,2] => [1,6,5,2,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,3,5,2,4] => [1,5,6,2,3,4] => [1,6,5,3,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,3,5,4,2] => [1,4,5,6,2,3] => [1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,4,2,3,5] => [1,4,2,6,3,5] => [1,6,2,4,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,4,2,5,3] => [1,4,6,5,3,2] => [1,6,4,5,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,4,3,2,5] => [1,3,4,6,2,5] => [1,6,3,4,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,4,3,5,2] => [1,5,4,6,3,2] => [1,5,6,4,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,6,4,5,2,3] => [1,5,2,6,4,3] => [1,6,2,5,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,4,5,3,2] => [1,3,5,6,4,2] => [1,6,3,5,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,5,2,3,4] => [1,5,2,3,6,4] => [1,6,2,3,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,5,2,4,3] => [1,5,4,2,6,3] => [1,4,6,3,5,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,6,5,3,2,4] => [1,3,5,2,6,4] => [1,6,3,2,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,5,3,4,2] => [1,4,5,3,6,2] => [1,6,4,2,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,5,4,2,3] => [1,4,2,5,6,3] => [1,6,2,4,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,6,5,4,3,2] => [1,3,4,5,6,2] => [1,6,3,4,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[2,1,3,4,6,5] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[2,1,3,5,4,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[2,1,3,5,6,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[2,1,3,6,4,5] => [2,1,3,6,4,5] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0]
[2,1,3,6,5,4] => [2,1,3,5,6,4] => [2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[2,1,4,3,5,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,4,5,3,6] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[2,1,4,5,6,3] => [2,1,6,4,5,3] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[2,1,4,6,3,5] => [2,1,6,4,3,5] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0]
[2,1,4,6,5,3] => [2,1,5,4,6,3] => [2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[2,1,5,3,4,6] => [2,1,5,3,4,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[2,1,5,3,6,4] => [2,1,5,6,3,4] => [2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,5,4,3,6] => [2,1,4,5,3,6] => [2,1,5,4,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[2,1,5,4,6,3] => [2,1,6,5,4,3] => [2,1,5,6,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[2,1,5,6,3,4] => [2,1,6,3,5,4] => [2,1,5,3,6,4] => [1,1,0,0,1,1,1,0,0,1,0,0]
[2,1,5,6,4,3] => [2,1,4,6,5,3] => [2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[2,1,6,3,4,5] => [2,1,6,3,4,5] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,6,3,5,4] => [2,1,6,5,3,4] => [2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[2,1,6,4,3,5] => [2,1,4,6,3,5] => [2,1,6,4,3,5] => [1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,6,4,5,3] => [2,1,5,6,4,3] => [2,1,6,5,3,4] => [1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,6,5,3,4] => [2,1,5,3,6,4] => [2,1,6,3,5,4] => [1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,6,5,4,3] => [2,1,4,5,6,3] => [2,1,6,4,5,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[2,3,1,4,5,6] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,3,1,4,6,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,3,1,5,4,6] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,3,1,5,6,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,3,1,6,4,5] => [3,2,1,6,4,5] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,3,1,6,5,4] => [3,2,1,5,6,4] => [2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,3,4,1,5,6] => [4,2,3,1,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,4,1,6,5] => [4,2,3,1,6,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,3,4,5,1,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,4,5,6,1] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,4,6,1,5] => [6,2,3,4,1,5] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,3,4,6,5,1] => [5,2,3,4,6,1] => [2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,3,5,1,4,6] => [5,2,3,1,4,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,5,1,6,4] => [5,2,3,6,1,4] => [2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,5,4,1,6] => [4,2,3,5,1,6] => [2,3,5,4,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,5,4,6,1] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,5,6,1,4] => [6,2,3,1,5,4] => [2,3,5,1,6,4] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,5,6,4,1] => [4,2,3,6,5,1] => [2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,6,1,4,5] => [6,2,3,1,4,5] => [2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,6,1,5,4] => [6,2,3,5,1,4] => [2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,6,4,1,5] => [4,2,3,6,1,5] => [2,3,6,4,1,5] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,6,4,5,1] => [5,2,3,6,4,1] => [2,3,6,5,1,4] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,6,5,1,4] => [5,2,3,1,6,4] => [2,3,6,1,5,4] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,6,5,4,1] => [4,2,3,5,6,1] => [2,3,6,4,5,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,4,1,3,5,6] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,4,1,3,6,5] => [4,2,1,3,6,5] => [2,4,1,3,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,4,1,5,3,6] => [4,2,5,1,3,6] => [2,5,4,3,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,4,1,5,6,3] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,4,1,6,3,5] => [4,2,6,1,3,5] => [2,6,4,3,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,4,1,6,5,3] => [4,2,5,1,6,3] => [2,6,4,3,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,4,3,1,5,6] => [3,2,4,1,5,6] => [2,4,3,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,4,3,1,6,5] => [3,2,4,1,6,5] => [2,4,3,1,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,4,3,5,1,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,4,3,5,6,1] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,4,3,6,1,5] => [6,2,4,3,1,5] => [2,4,6,1,3,5] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,4,3,6,5,1] => [5,2,4,3,6,1] => [2,4,6,1,5,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,4,5,1,3,6] => [5,2,1,4,3,6] => [2,4,1,5,3,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,5,1,6,3] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,4,5,3,1,6] => [3,2,5,4,1,6] => [2,4,3,5,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,5,3,6,1] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,5,6,1,3] => [6,2,1,4,5,3] => [2,4,1,5,6,3] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,5,6,3,1] => [3,2,6,4,5,1] => [2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,6,1,3,5] => [6,2,1,4,3,5] => [2,4,1,6,3,5] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,6,1,5,3] => [6,2,5,4,1,3] => [2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,6,3,1,5] => [3,2,6,4,1,5] => [2,4,3,6,1,5] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,6,3,5,1] => [5,2,6,4,3,1] => [2,5,4,6,1,3] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,4,6,5,1,3] => [5,2,1,4,6,3] => [2,4,1,6,5,3] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,6,5,3,1] => [3,2,5,4,6,1] => [2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,5,1,3,4,6] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,5,1,3,6,4] => [5,2,1,6,3,4] => [2,6,1,5,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,5,1,4,3,6] => [5,2,4,1,3,6] => [2,4,5,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,5,1,4,6,3] => [5,2,6,1,4,3] => [2,6,5,3,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,5,1,6,3,4] => [5,2,6,3,1,4] => [2,6,5,1,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,5,1,6,4,3] => [5,2,4,6,1,3] => [2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,5,3,1,4,6] => [3,2,5,1,4,6] => [2,5,3,1,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,5,3,1,6,4] => [3,2,5,6,1,4] => [2,6,3,5,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,5,3,4,1,6] => [4,2,5,3,1,6] => [2,5,4,1,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,5,3,4,6,1] => [6,2,5,3,4,1] => [2,5,6,1,3,4] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,5,3,6,1,4] => [6,2,5,1,3,4] => [2,5,6,3,4,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,5,3,6,4,1] => [4,2,6,5,1,3] => [2,6,4,5,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,5,4,1,3,6] => [4,2,1,5,3,6] => [2,5,1,4,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,5,4,1,6,3] => [4,2,5,6,3,1] => [2,6,5,4,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,5,4,3,1,6] => [3,2,4,5,1,6] => [2,5,3,4,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,5,4,3,6,1] => [6,2,4,5,3,1] => [2,4,6,5,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,5,4,6,1,3] => [6,2,1,5,4,3] => [2,5,1,6,3,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,5,4,6,3,1] => [3,2,6,5,4,1] => [2,5,3,6,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,5,6,1,3,4] => [6,2,1,3,5,4] => [2,5,1,3,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,6,1,4,3] => [6,2,4,1,5,3] => [2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,6,3,1,4] => [3,2,6,1,5,4] => [2,5,3,1,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,6,3,4,1] => [4,2,6,3,5,1] => [2,5,4,1,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,6,4,1,3] => [4,2,1,6,5,3] => [2,5,1,4,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,6,4,3,1] => [3,2,4,6,5,1] => [2,5,3,4,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,6,1,3,4,5] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,1,3,5,4] => [6,2,1,5,3,4] => [2,5,1,6,4,3] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,6,1,4,3,5] => [6,2,4,1,3,5] => [2,4,6,3,1,5] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,6,1,4,5,3] => [6,2,5,1,4,3] => [2,5,6,3,1,4] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,6,1,5,3,4] => [6,2,5,3,1,4] => [2,5,6,1,4,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,6,1,5,4,3] => [6,2,4,5,1,3] => [2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,6,3,1,4,5] => [3,2,6,1,4,5] => [2,6,3,1,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,3,1,5,4] => [3,2,6,5,1,4] => [2,5,3,6,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,6,3,4,1,5] => [4,2,6,3,1,5] => [2,6,4,1,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,3,4,5,1] => [5,2,6,3,4,1] => [2,6,5,1,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,3,5,1,4] => [5,2,6,1,3,4] => [2,6,5,3,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,3,5,4,1] => [4,2,5,6,1,3] => [2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,4,1,3,5] => [4,2,1,6,3,5] => [2,6,1,4,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,4,1,5,3] => [4,2,6,5,3,1] => [2,6,4,5,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,4,3,1,5] => [3,2,4,6,1,5] => [2,6,3,4,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,4,3,5,1] => [5,2,4,6,3,1] => [2,5,6,4,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,6,4,5,1,3] => [5,2,1,6,4,3] => [2,6,1,5,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,4,5,3,1] => [3,2,5,6,4,1] => [2,6,3,5,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,5,1,3,4] => [5,2,1,3,6,4] => [2,6,1,3,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,5,1,4,3] => [5,2,4,1,6,3] => [2,4,6,3,5,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,6,5,3,1,4] => [3,2,5,1,6,4] => [2,6,3,1,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,5,3,4,1] => [4,2,5,3,6,1] => [2,6,4,1,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,5,4,1,3] => [4,2,1,5,6,3] => [2,6,1,4,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,5,4,3,1] => [3,2,4,5,6,1] => [2,6,3,4,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[3,1,2,4,5,6] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[3,1,2,4,6,5] => [3,1,2,4,6,5] => [3,1,2,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[3,1,2,5,4,6] => [3,1,2,5,4,6] => [3,1,2,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[3,1,2,5,6,4] => [3,1,2,6,5,4] => [3,1,2,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[3,1,2,6,4,5] => [3,1,2,6,4,5] => [3,1,2,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0]
[3,1,2,6,5,4] => [3,1,2,5,6,4] => [3,1,2,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[3,1,4,2,5,6] => [3,4,1,2,5,6] => [4,3,2,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[3,1,4,2,6,5] => [3,4,1,2,6,5] => [4,3,2,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[3,1,4,5,2,6] => [3,5,1,4,2,6] => [4,3,2,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[3,1,4,5,6,2] => [3,6,1,4,5,2] => [4,3,2,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[3,1,4,6,2,5] => [3,6,1,4,2,5] => [4,3,2,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0]
[3,1,4,6,5,2] => [3,5,1,4,6,2] => [4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[3,1,5,2,4,6] => [3,5,1,2,4,6] => [5,3,2,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[3,1,5,2,6,4] => [3,5,1,6,2,4] => [6,3,2,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,4,2,6] => [3,4,1,5,2,6] => [5,3,2,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[3,1,5,4,6,2] => [3,6,1,5,4,2] => [5,3,2,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0]
[3,1,5,6,2,4] => [3,6,1,2,5,4] => [5,3,2,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0]
[3,1,5,6,4,2] => [3,4,1,6,5,2] => [5,3,2,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[3,1,6,2,4,5] => [3,6,1,2,4,5] => [6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,2,5,4] => [3,6,1,5,2,4] => [5,3,2,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[3,1,6,4,2,5] => [3,4,1,6,2,5] => [6,3,2,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,4,5,2] => [3,5,1,6,4,2] => [6,3,2,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,5,2,4] => [3,5,1,2,6,4] => [6,3,2,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,5,4,2] => [3,4,1,5,6,2] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,4,5,6] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[3,2,1,4,6,5] => [2,3,1,4,6,5] => [3,2,1,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[3,2,1,5,4,6] => [2,3,1,5,4,6] => [3,2,1,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[3,2,1,5,6,4] => [2,3,1,6,5,4] => [3,2,1,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[3,2,1,6,4,5] => [2,3,1,6,4,5] => [3,2,1,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0]
[3,2,1,6,5,4] => [2,3,1,5,6,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[3,2,4,1,5,6] => [4,3,2,1,5,6] => [3,4,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[3,2,4,1,6,5] => [4,3,2,1,6,5] => [3,4,1,2,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[3,2,4,5,1,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[3,2,4,5,6,1] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[3,2,4,6,1,5] => [6,3,2,4,1,5] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0]
[3,2,4,6,5,1] => [5,3,2,4,6,1] => [3,4,1,6,5,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[3,2,5,1,4,6] => [5,3,2,1,4,6] => [3,5,1,2,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[3,2,5,1,6,4] => [5,3,2,6,1,4] => [3,6,1,5,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[3,2,5,4,1,6] => [4,3,2,5,1,6] => [3,5,1,4,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[3,2,5,4,6,1] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[3,2,5,6,1,4] => [6,3,2,1,5,4] => [3,5,1,2,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0]
[3,2,5,6,4,1] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[3,2,6,1,4,5] => [6,3,2,1,4,5] => [3,6,1,2,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0]
[3,2,6,1,5,4] => [6,3,2,5,1,4] => [3,5,1,6,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[3,2,6,4,1,5] => [4,3,2,6,1,5] => [3,6,1,4,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0]
[3,2,6,4,5,1] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0]
[3,2,6,5,1,4] => [5,3,2,1,6,4] => [3,6,1,2,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0]
[3,2,6,5,4,1] => [4,3,2,5,6,1] => [3,6,1,4,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[3,4,1,2,5,6] => [4,1,3,2,5,6] => [3,1,4,2,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,4,1,2,6,5] => [4,1,3,2,6,5] => [3,1,4,2,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,4,1,5,2,6] => [4,5,3,1,2,6] => [4,3,5,2,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[3,4,1,5,6,2] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[3,4,1,6,2,5] => [4,6,3,1,2,5] => [4,3,6,2,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,4,1,6,5,2] => [4,5,3,1,6,2] => [4,3,6,2,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,4,2,1,5,6] => [2,4,3,1,5,6] => [3,2,4,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,4,2,1,6,5] => [2,4,3,1,6,5] => [3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,4,2,5,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,4,2,5,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,4,2,6,1,5] => [6,4,3,2,1,5] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,4,2,6,5,1] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,4,5,1,2,6] => [5,1,3,4,2,6] => [3,1,4,5,2,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,4,5,1,6,2] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[3,4,5,2,1,6] => [2,5,3,4,1,6] => [3,2,4,5,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,4,5,2,6,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,4,5,6,1,2] => [6,1,3,4,5,2] => [3,1,4,5,6,2] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,4,5,6,2,1] => [2,6,3,4,5,1] => [3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,4,6,1,2,5] => [6,1,3,4,2,5] => [3,1,4,6,2,5] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,4,6,1,5,2] => [6,5,3,4,1,2] => [3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,4,6,2,1,5] => [2,6,3,4,1,5] => [3,2,4,6,1,5] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,4,6,2,5,1] => [5,6,3,4,2,1] => [4,3,5,6,1,2] => [1,1,1,1,0,0,1,0,1,0,0,0]
[3,4,6,5,1,2] => [5,1,3,4,6,2] => [3,1,4,6,5,2] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,4,6,5,2,1] => [2,5,3,4,6,1] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,5,1,2,4,6] => [5,1,3,2,4,6] => [3,1,5,2,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,5,1,2,6,4] => [5,1,3,6,2,4] => [3,1,6,5,4,2] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,5,1,4,2,6] => [5,4,3,1,2,6] => [3,4,5,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,5,1,4,6,2] => [5,6,3,1,4,2] => [5,3,6,2,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0]
[3,5,1,6,2,4] => [5,6,3,2,1,4] => [5,3,6,1,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0]
[3,5,1,6,4,2] => [5,4,3,6,1,2] => [3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,5,2,1,4,6] => [2,5,3,1,4,6] => [3,2,5,1,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,5,2,1,6,4] => [2,5,3,6,1,4] => [3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,5,2,4,1,6] => [4,5,3,2,1,6] => [4,3,5,1,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[3,5,2,4,6,1] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,5,2,6,1,4] => [6,5,3,1,2,4] => [3,5,6,2,4,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,5,2,6,4,1] => [4,6,3,5,1,2] => [4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,5,4,1,2,6] => [4,1,3,5,2,6] => [3,1,5,4,2,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,5,4,1,6,2] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0]
[3,5,4,2,1,6] => [2,4,3,5,1,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,5,4,2,6,1] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,5,4,6,1,2] => [6,1,3,5,4,2] => [3,1,5,6,2,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,5,4,6,2,1] => [2,6,3,5,4,1] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,5,6,1,2,4] => [6,1,3,2,5,4] => [3,1,5,2,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,5,6,1,4,2] => [6,4,3,1,5,2] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,5,6,2,1,4] => [2,6,3,1,5,4] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,5,6,2,4,1] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0]
[3,5,6,4,1,2] => [4,1,3,6,5,2] => [3,1,5,4,6,2] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,5,6,4,2,1] => [2,4,3,6,5,1] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,6,1,2,4,5] => [6,1,3,2,4,5] => [3,1,6,2,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,6,1,2,5,4] => [6,1,3,5,2,4] => [3,1,5,6,4,2] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,6,1,4,2,5] => [6,4,3,1,2,5] => [3,4,6,2,1,5] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,6,1,4,5,2] => [6,5,3,1,4,2] => [3,5,6,2,1,4] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,6,1,5,2,4] => [6,5,3,2,1,4] => [3,5,6,1,4,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,6,1,5,4,2] => [6,4,3,5,1,2] => [3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,6,2,1,4,5] => [2,6,3,1,4,5] => [3,2,6,1,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,6,2,1,5,4] => [2,6,3,5,1,4] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,6,2,4,1,5] => [4,6,3,2,1,5] => [4,3,6,1,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,6,2,4,5,1] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0]
[3,6,2,5,1,4] => [5,6,3,1,2,4] => [5,3,6,2,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[3,6,2,5,4,1] => [4,5,3,6,1,2] => [5,3,6,4,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[3,6,4,1,2,5] => [4,1,3,6,2,5] => [3,1,6,4,2,5] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,6,4,1,5,2] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,6,4,2,1,5] => [2,4,3,6,1,5] => [3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,6,4,2,5,1] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,6,4,5,1,2] => [5,1,3,6,4,2] => [3,1,6,5,2,4] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,6,4,5,2,1] => [2,5,3,6,4,1] => [3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,6,5,1,2,4] => [5,1,3,2,6,4] => [3,1,6,2,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,6,5,1,4,2] => [5,4,3,1,6,2] => [3,4,6,2,5,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,6,5,2,1,4] => [2,5,3,1,6,4] => [3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,6,5,2,4,1] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,6,5,4,1,2] => [4,1,3,5,6,2] => [3,1,6,4,5,2] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,6,5,4,2,1] => [2,4,3,5,6,1] => [3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[4,1,2,3,5,6] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[4,1,2,3,6,5] => [4,1,2,3,6,5] => [4,1,2,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[4,1,2,5,3,6] => [4,1,5,2,3,6] => [5,1,4,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[4,1,2,5,6,3] => [4,1,6,2,5,3] => [5,1,4,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0]
[4,1,2,6,3,5] => [4,1,6,2,3,5] => [6,1,4,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,2,6,5,3] => [4,1,5,2,6,3] => [6,1,4,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,3,2,5,6] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[4,1,3,2,6,5] => [4,3,1,2,6,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[4,1,3,5,2,6] => [4,5,1,3,2,6] => [5,4,2,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[4,1,3,5,6,2] => [4,6,1,3,5,2] => [5,4,2,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0]
[4,1,3,6,2,5] => [4,6,1,3,2,5] => [6,4,2,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,3,6,5,2] => [4,5,1,3,6,2] => [6,4,2,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,2,3,6] => [4,5,2,1,3,6] => [5,4,1,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[4,1,5,2,6,3] => [4,5,6,1,2,3] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,3,2,6] => [4,3,5,1,2,6] => [4,5,3,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[4,1,5,3,6,2] => [4,6,5,1,3,2] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,6,2,3] => [4,6,2,1,5,3] => [5,4,1,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0]
[4,1,5,6,3,2] => [4,3,6,1,5,2] => [4,5,3,2,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[4,1,6,2,3,5] => [4,6,2,1,3,5] => [6,4,1,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,2,5,3] => [4,6,5,1,2,3] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,3,2,5] => [4,3,6,1,2,5] => [4,6,3,2,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0]
[4,1,6,3,5,2] => [4,5,6,1,3,2] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,5,2,3] => [4,5,2,1,6,3] => [6,4,1,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,5,3,2] => [4,3,5,1,6,2] => [4,6,3,2,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[4,2,1,3,5,6] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[4,2,1,3,6,5] => [2,4,1,3,6,5] => [4,2,1,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[4,2,1,5,3,6] => [2,4,5,1,3,6] => [5,2,4,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[4,2,1,5,6,3] => [2,4,6,1,5,3] => [5,2,4,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[4,2,1,6,3,5] => [2,4,6,1,3,5] => [6,2,4,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,1,6,5,3] => [2,4,5,1,6,3] => [6,2,4,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,3,1,5,6] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[4,2,3,1,6,5] => [3,4,2,1,6,5] => [4,3,1,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[4,2,3,5,1,6] => [5,4,2,3,1,6] => [4,5,1,2,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[4,2,3,5,6,1] => [6,4,2,3,5,1] => [4,5,1,2,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0]
[4,2,3,6,1,5] => [6,4,2,3,1,5] => [4,6,1,2,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0]
[4,2,3,6,5,1] => [5,4,2,3,6,1] => [4,6,1,2,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0]
[4,2,5,1,3,6] => [5,4,1,2,3,6] => [4,5,2,3,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[4,2,5,1,6,3] => [5,4,6,2,1,3] => [5,6,4,2,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[4,2,5,3,1,6] => [3,5,4,1,2,6] => [5,3,4,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[4,2,5,3,6,1] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0]
[4,2,5,6,1,3] => [6,4,1,2,5,3] => [4,5,2,3,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[4,2,5,6,3,1] => [3,6,4,1,5,2] => [5,3,4,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[4,2,6,1,3,5] => [6,4,1,2,3,5] => [4,6,2,3,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0]
[4,2,6,1,5,3] => [6,4,5,2,1,3] => [4,6,5,2,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[4,2,6,3,1,5] => [3,6,4,1,2,5] => [6,3,4,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,6,3,5,1] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0]
[4,2,6,5,1,3] => [5,4,1,2,6,3] => [4,6,2,3,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[4,2,6,5,3,1] => [3,5,4,1,6,2] => [6,3,4,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,2,5,6] => [3,1,4,2,5,6] => [4,1,3,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[4,3,1,2,6,5] => [3,1,4,2,6,5] => [4,1,3,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[4,3,1,5,2,6] => [3,4,5,2,1,6] => [5,4,3,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[4,3,1,5,6,2] => [3,4,6,2,5,1] => [5,4,3,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0]
[4,3,1,6,2,5] => [3,4,6,2,1,5] => [6,4,3,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,6,5,2] => [3,4,5,2,6,1] => [6,4,3,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,2,1,5,6] => [2,3,4,1,5,6] => [4,2,3,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[4,3,2,1,6,5] => [2,3,4,1,6,5] => [4,2,3,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[4,3,2,5,1,6] => [5,3,4,2,1,6] => [3,5,4,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[4,3,2,5,6,1] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[4,3,2,6,1,5] => [6,3,4,2,1,5] => [3,6,4,1,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0]
[4,3,2,6,5,1] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[4,3,5,1,2,6] => [5,1,4,3,2,6] => [4,1,5,2,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[4,3,5,1,6,2] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0]
[4,3,5,2,1,6] => [2,5,4,3,1,6] => [4,2,5,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[4,3,5,2,6,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0]
[4,3,5,6,1,2] => [6,1,4,3,5,2] => [4,1,5,2,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0]
[4,3,5,6,2,1] => [2,6,4,3,5,1] => [4,2,5,1,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0]
[4,3,6,1,2,5] => [6,1,4,3,2,5] => [4,1,6,2,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0]
[4,3,6,1,5,2] => [6,5,4,3,1,2] => [4,5,6,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0]
[4,3,6,2,1,5] => [2,6,4,3,1,5] => [4,2,6,1,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0]
[4,3,6,2,5,1] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0]
[4,3,6,5,1,2] => [5,1,4,3,6,2] => [4,1,6,2,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0]
[4,3,6,5,2,1] => [2,5,4,3,6,1] => [4,2,6,1,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0]
[4,5,1,2,3,6] => [5,1,2,4,3,6] => [4,1,2,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,5,1,2,6,3] => [5,1,6,4,2,3] => [5,1,4,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,5,1,3,2,6] => [5,3,1,4,2,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,5,1,3,6,2] => [5,6,1,4,3,2] => [5,4,2,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,5,1,6,2,3] => [5,6,2,4,1,3] => [5,4,1,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,5,1,6,3,2] => [5,3,6,4,1,2] => [4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,5,2,1,3,6] => [2,5,1,4,3,6] => [4,2,1,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,5,2,1,6,3] => [2,5,6,4,1,3] => [5,2,4,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,5,2,3,1,6] => [3,5,2,4,1,6] => [4,3,1,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,5,2,3,6,1] => [6,5,2,4,3,1] => [4,5,1,6,2,3] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,5,2,6,1,3] => [6,5,1,4,2,3] => [4,5,2,6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,5,2,6,3,1] => [3,6,5,4,1,2] => [5,3,4,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,5,3,1,2,6] => [3,1,5,4,2,6] => [4,1,3,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,5,3,1,6,2] => [3,5,6,4,2,1] => [5,4,3,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,5,3,2,1,6] => [2,3,5,4,1,6] => [4,2,3,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,5,3,2,6,1] => [6,3,5,4,2,1] => [3,5,4,6,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,5,3,6,1,2] => [6,1,5,4,3,2] => [4,1,5,6,2,3] => [1,1,1,1,0,0,1,0,1,0,0,0]
[4,5,3,6,2,1] => [2,6,5,4,3,1] => [4,2,5,6,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0]
[4,5,6,1,2,3] => [6,1,2,4,5,3] => [4,1,2,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,5,6,1,3,2] => [6,3,1,4,5,2] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,5,6,2,1,3] => [2,6,1,4,5,3] => [4,2,1,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,5,6,2,3,1] => [3,6,2,4,5,1] => [4,3,1,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,5,6,3,1,2] => [3,1,6,4,5,2] => [4,1,3,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,5,6,3,2,1] => [2,3,6,4,5,1] => [4,2,3,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,6,1,2,3,5] => [6,1,2,4,3,5] => [4,1,2,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,6,1,2,5,3] => [6,1,5,4,2,3] => [4,1,5,6,3,2] => [1,1,1,1,0,0,1,0,1,0,0,0]
[4,6,1,3,2,5] => [6,3,1,4,2,5] => [3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,6,1,3,5,2] => [6,5,1,4,3,2] => [4,5,2,6,1,3] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,6,1,5,2,3] => [6,5,2,4,1,3] => [4,5,1,6,3,2] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,6,1,5,3,2] => [6,3,5,4,1,2] => [3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,6,2,1,3,5] => [2,6,1,4,3,5] => [4,2,1,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,6,2,1,5,3] => [2,6,5,4,1,3] => [4,2,5,6,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[4,6,2,3,1,5] => [3,6,2,4,1,5] => [4,3,1,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,6,2,3,5,1] => [5,6,2,4,3,1] => [5,4,1,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,6,2,5,1,3] => [5,6,1,4,2,3] => [5,4,2,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,6,2,5,3,1] => [3,5,6,4,1,2] => [5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,6,3,1,2,5] => [3,1,6,4,2,5] => [4,1,3,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,6,3,1,5,2] => [3,6,5,4,2,1] => [5,3,4,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,6,3,2,1,5] => [2,3,6,4,1,5] => [4,2,3,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,6,3,2,5,1] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,6,3,5,1,2] => [5,1,6,4,3,2] => [5,1,4,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,6,3,5,2,1] => [2,5,6,4,3,1] => [5,2,4,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,6,5,1,2,3] => [5,1,2,4,6,3] => [4,1,2,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,6,5,1,3,2] => [5,3,1,4,6,2] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,6,5,2,1,3] => [2,5,1,4,6,3] => [4,2,1,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,6,5,2,3,1] => [3,5,2,4,6,1] => [4,3,1,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,6,5,3,1,2] => [3,1,5,4,6,2] => [4,1,3,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,6,5,3,2,1] => [2,3,5,4,6,1] => [4,2,3,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[5,1,2,3,4,6] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,1,2,3,6,4] => [5,1,2,6,3,4] => [6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,2,4,3,6] => [5,1,4,2,3,6] => [4,1,5,3,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[5,1,2,4,6,3] => [5,1,6,2,4,3] => [6,1,5,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,2,6,3,4] => [5,1,6,3,2,4] => [6,1,5,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,2,6,4,3] => [5,1,4,6,2,3] => [5,1,6,4,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0]
[5,1,3,2,4,6] => [5,3,1,2,4,6] => [3,5,2,1,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[5,1,3,2,6,4] => [5,3,1,6,2,4] => [3,6,2,5,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[5,1,3,4,2,6] => [5,4,1,3,2,6] => [4,5,2,1,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[5,1,3,4,6,2] => [5,6,1,3,4,2] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,3,6,2,4] => [5,6,1,2,3,4] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,3,6,4,2] => [5,4,1,6,3,2] => [5,6,2,4,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,1,4,2,3,6] => [5,4,2,1,3,6] => [4,5,1,3,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[5,1,4,2,6,3] => [5,4,6,1,2,3] => [5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,1,4,3,2,6] => [5,3,4,1,2,6] => [3,5,4,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[5,1,4,3,6,2] => [5,6,4,1,3,2] => [5,4,6,3,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0]
[5,1,4,6,2,3] => [5,6,2,1,4,3] => [6,5,1,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,4,6,3,2] => [5,3,6,1,4,2] => [5,6,3,2,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,1,6,2,3,4] => [5,6,2,3,1,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,6,2,4,3] => [5,6,4,2,1,3] => [5,4,6,2,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[5,1,6,3,2,4] => [5,3,6,2,1,4] => [5,6,3,1,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,1,6,3,4,2] => [5,4,6,3,1,2] => [5,6,4,1,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,1,6,4,2,3] => [5,4,2,6,1,3] => [5,6,1,4,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,1,6,4,3,2] => [5,3,4,6,1,2] => [3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[5,2,1,3,4,6] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,2,1,3,6,4] => [2,5,1,6,3,4] => [6,2,1,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,1,4,3,6] => [2,5,4,1,3,6] => [4,2,5,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[5,2,1,4,6,3] => [2,5,6,1,4,3] => [6,2,5,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,1,6,3,4] => [2,5,6,3,1,4] => [6,2,5,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,1,6,4,3] => [2,5,4,6,1,3] => [5,2,6,4,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[5,2,3,1,4,6] => [3,5,2,1,4,6] => [5,3,1,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,2,3,1,6,4] => [3,5,2,6,1,4] => [6,3,1,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,3,4,1,6] => [4,5,2,3,1,6] => [5,4,1,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,2,3,4,6,1] => [6,5,2,3,4,1] => [5,6,1,2,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,2,3,6,1,4] => [6,5,2,1,3,4] => [5,6,1,3,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,2,3,6,4,1] => [4,6,1,5,3,2] => [6,4,2,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,4,1,3,6] => [4,5,1,2,3,6] => [5,4,2,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,2,4,1,6,3] => [4,5,6,2,1,3] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,4,3,1,6] => [3,4,5,1,2,6] => [5,4,3,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,2,4,3,6,1] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0]
[5,2,4,6,1,3] => [6,5,1,2,4,3] => [5,6,2,3,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,2,4,6,3,1] => [3,6,5,1,4,2] => [6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,1,3,4] => [6,5,1,3,2,4] => [5,6,2,1,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,2,6,1,4,3] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[5,2,6,3,1,4] => [3,6,5,2,1,4] => [6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,3,4,1] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,4,1,3] => [4,6,2,5,1,3] => [6,4,1,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,4,3,1] => [3,4,6,5,2,1] => [6,4,3,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,2,4,6] => [3,1,5,2,4,6] => [5,1,3,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,3,1,2,6,4] => [3,1,5,6,2,4] => [6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,4,2,6] => [3,5,4,2,1,6] => [5,3,4,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,3,1,4,6,2] => [3,5,6,2,4,1] => [6,5,3,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,6,2,4] => [3,5,6,1,2,4] => [6,5,3,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,6,4,2] => [3,5,4,6,2,1] => [6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,2,1,4,6] => [2,3,5,1,4,6] => [5,2,3,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,3,2,1,6,4] => [2,3,5,6,1,4] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,2,4,1,6] => [4,3,5,2,1,6] => [4,5,3,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[5,3,2,4,6,1] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0]
[5,3,2,6,1,4] => [6,3,5,1,2,4] => [3,6,5,2,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[5,3,2,6,4,1] => [4,3,6,5,1,2] => [4,6,3,5,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[5,3,4,1,2,6] => [4,1,5,3,2,6] => [5,1,4,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,3,4,1,6,2] => [4,6,5,3,1,2] => [6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,4,2,1,6] => [2,4,5,3,1,6] => [5,2,4,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,3,4,2,6,1] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0]
[5,3,4,6,1,2] => [6,1,5,3,4,2] => [5,1,6,2,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0]
[5,3,4,6,2,1] => [2,6,5,3,4,1] => [5,2,6,1,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0]
[5,3,6,1,2,4] => [6,1,5,2,3,4] => [5,1,6,3,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0]
[5,3,6,1,4,2] => [6,4,5,1,3,2] => [4,6,5,3,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[5,3,6,2,1,4] => [2,6,5,1,3,4] => [5,2,6,3,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[5,3,6,2,4,1] => [4,6,5,2,3,1] => [6,4,5,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,6,4,1,2] => [4,1,6,5,2,3] => [6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,6,4,2,1] => [2,4,6,5,1,3] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,2,3,6] => [4,1,2,5,3,6] => [5,1,2,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,4,1,2,6,3] => [4,1,5,6,3,2] => [6,1,5,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,3,2,6] => [4,3,1,5,2,6] => [3,5,2,4,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[5,4,1,3,6,2] => [4,5,2,6,3,1] => [6,5,1,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,6,2,3] => [4,5,1,6,2,3] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,6,3,2] => [4,3,5,6,2,1] => [5,6,3,4,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0]
[5,4,2,1,3,6] => [2,4,1,5,3,6] => [5,2,1,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,4,2,1,6,3] => [2,4,5,6,3,1] => [6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,2,3,1,6] => [3,4,2,5,1,6] => [5,3,1,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,4,2,3,6,1] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0]
[5,4,2,6,1,3] => [6,4,1,5,2,3] => [4,6,2,5,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[5,4,2,6,3,1] => [3,6,4,5,1,2] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,3,1,2,6] => [3,1,4,5,2,6] => [5,1,3,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,4,3,1,6,2] => [3,4,5,6,1,2] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,3,2,1,6] => [2,3,4,5,1,6] => [5,2,3,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[5,4,3,2,6,1] => [6,3,4,5,2,1] => [3,6,4,5,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[5,4,3,6,1,2] => [6,1,4,5,3,2] => [4,1,6,5,2,3] => [1,1,1,1,0,0,1,1,0,0,0,0]
[5,4,3,6,2,1] => [2,6,4,5,3,1] => [4,2,6,5,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0]
[5,4,6,1,2,3] => [6,1,2,5,4,3] => [5,1,2,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0]
[5,4,6,1,3,2] => [6,3,1,5,4,2] => [3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[5,4,6,2,1,3] => [2,6,1,5,4,3] => [5,2,1,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0]
[5,4,6,2,3,1] => [3,6,2,5,4,1] => [5,3,1,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0]
[5,4,6,3,1,2] => [3,1,6,5,4,2] => [5,1,3,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0]
[5,4,6,3,2,1] => [2,3,6,5,4,1] => [5,2,3,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0]
[5,6,1,2,3,4] => [6,1,2,3,5,4] => [5,1,2,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,1,2,4,3] => [6,1,4,2,5,3] => [4,1,5,3,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0]
[5,6,1,3,2,4] => [6,3,1,2,5,4] => [3,5,2,1,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,6,1,3,4,2] => [6,4,1,3,5,2] => [4,5,2,1,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0]
[5,6,1,4,2,3] => [6,4,2,1,5,3] => [4,5,1,3,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0]
[5,6,1,4,3,2] => [6,3,4,1,5,2] => [3,5,4,2,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,6,2,1,3,4] => [2,6,1,3,5,4] => [5,2,1,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,2,1,4,3] => [2,6,4,1,5,3] => [4,2,5,3,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[5,6,2,3,1,4] => [3,6,2,1,5,4] => [5,3,1,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,2,3,4,1] => [4,6,2,3,5,1] => [5,4,1,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,2,4,1,3] => [4,6,1,2,5,3] => [5,4,2,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,2,4,3,1] => [3,4,6,1,5,2] => [5,4,3,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,3,1,2,4] => [3,1,6,2,5,4] => [5,1,3,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,3,1,4,2] => [3,6,4,2,5,1] => [5,3,4,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,3,2,1,4] => [2,3,6,1,5,4] => [5,2,3,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,3,2,4,1] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0]
[5,6,3,4,1,2] => [4,1,6,3,5,2] => [5,1,4,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,3,4,2,1] => [2,4,6,3,5,1] => [5,2,4,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,4,1,2,3] => [4,1,2,6,5,3] => [5,1,2,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,4,1,3,2] => [4,3,1,6,5,2] => [3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,6,4,2,1,3] => [2,4,1,6,5,3] => [5,2,1,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,4,2,3,1] => [3,4,2,6,5,1] => [5,3,1,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,4,3,1,2] => [3,1,4,6,5,2] => [5,1,3,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,6,4,3,2,1] => [2,3,4,6,5,1] => [5,2,3,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[6,1,2,3,4,5] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,2,3,5,4] => [6,1,2,5,3,4] => [5,1,2,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0]
[6,1,2,4,3,5] => [6,1,4,2,3,5] => [4,1,6,3,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0]
[6,1,2,4,5,3] => [6,1,5,2,4,3] => [5,1,6,3,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0]
[6,1,2,5,3,4] => [6,1,5,3,2,4] => [5,1,6,2,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0]
[6,1,2,5,4,3] => [6,1,4,5,2,3] => [4,1,6,5,3,2] => [1,1,1,1,0,0,1,1,0,0,0,0]
[6,1,3,2,4,5] => [6,3,1,2,4,5] => [3,6,2,1,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,1,3,2,5,4] => [6,3,1,5,2,4] => [3,5,2,6,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[6,1,3,4,2,5] => [6,4,1,3,2,5] => [4,6,2,1,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,1,3,4,5,2] => [6,5,1,3,4,2] => [5,6,2,1,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,1,3,5,2,4] => [6,5,1,2,3,4] => [5,6,2,3,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,1,3,5,4,2] => [6,4,1,5,3,2] => [4,6,2,5,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,1,4,2,3,5] => [6,4,2,1,3,5] => [4,6,1,3,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,1,4,2,5,3] => [6,4,5,1,2,3] => [4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,1,4,3,2,5] => [6,3,4,1,2,5] => [3,6,4,2,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,1,4,3,5,2] => [6,5,4,1,3,2] => [4,5,6,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0]
[6,1,4,5,2,3] => [6,5,2,1,4,3] => [5,6,1,3,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,1,4,5,3,2] => [6,3,5,1,4,2] => [3,6,5,2,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,1,5,2,3,4] => [6,5,2,3,1,4] => [5,6,1,2,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,1,5,2,4,3] => [6,5,4,2,1,3] => [4,5,6,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[6,1,5,3,2,4] => [6,3,5,2,1,4] => [3,6,5,1,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,1,5,3,4,2] => [6,4,5,3,1,2] => [4,6,5,1,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,1,5,4,2,3] => [6,4,2,5,1,3] => [4,6,1,5,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,1,5,4,3,2] => [6,3,4,5,1,2] => [3,6,4,5,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,2,1,3,4,5] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,1,3,5,4] => [2,6,1,5,3,4] => [5,2,1,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0]
[6,2,1,4,3,5] => [2,6,4,1,3,5] => [4,2,6,3,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0]
[6,2,1,4,5,3] => [2,6,5,1,4,3] => [5,2,6,3,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0]
[6,2,1,5,3,4] => [2,6,5,3,1,4] => [5,2,6,1,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0]
[6,2,1,5,4,3] => [2,6,4,5,1,3] => [4,2,6,5,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[6,2,3,1,4,5] => [3,6,2,1,4,5] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,1,5,4] => [3,6,2,5,1,4] => [5,3,1,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0]
[6,2,3,4,1,5] => [4,6,2,3,1,5] => [6,4,1,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,4,5,1] => [5,6,2,3,4,1] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,5,1,4] => [5,6,2,1,3,4] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,5,4,1] => [4,5,1,6,3,2] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,1,3,5] => [4,6,1,2,3,5] => [6,4,2,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,1,5,3] => [4,6,5,2,1,3] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,3,1,5] => [3,4,6,1,2,5] => [6,4,3,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,3,5,1] => [5,6,4,2,3,1] => [5,4,6,2,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0]
[6,2,4,5,1,3] => [5,6,1,2,4,3] => [6,5,2,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,5,3,1] => [3,5,6,1,4,2] => [6,5,3,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,1,3,4] => [5,6,1,3,2,4] => [6,5,2,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,1,4,3] => [5,6,4,1,2,3] => [5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[6,2,5,3,1,4] => [3,5,6,2,1,4] => [6,5,3,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,3,4,1] => [4,6,5,3,2,1] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,4,1,3] => [4,5,2,6,1,3] => [6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,4,3,1] => [3,4,5,6,2,1] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,2,4,5] => [3,1,6,2,4,5] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,2,5,4] => [3,1,6,5,2,4] => [5,1,3,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0]
[6,3,1,4,2,5] => [3,6,4,2,1,5] => [6,3,4,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,4,5,2] => [3,6,5,2,4,1] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,5,2,4] => [3,6,5,1,2,4] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,5,4,2] => [3,6,4,5,2,1] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,2,1,4,5] => [2,3,6,1,4,5] => [6,2,3,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,2,1,5,4] => [2,3,6,5,1,4] => [5,2,3,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[6,3,2,4,1,5] => [4,3,6,2,1,5] => [4,6,3,1,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,3,2,4,5,1] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,3,2,5,1,4] => [5,3,6,1,2,4] => [5,6,3,2,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,3,2,5,4,1] => [4,3,5,6,1,2] => [5,6,3,4,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,3,4,1,2,5] => [4,1,6,3,2,5] => [6,1,4,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,1,5,2] => [4,5,6,3,1,2] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,2,1,5] => [2,4,6,3,1,5] => [6,2,4,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,2,5,1] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,3,4,5,1,2] => [5,1,6,3,4,2] => [6,1,5,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,5,2,1] => [2,5,6,3,4,1] => [6,2,5,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,1,2,4] => [5,1,6,2,3,4] => [6,1,5,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,1,4,2] => [5,4,6,1,3,2] => [5,6,4,3,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,3,5,2,1,4] => [2,5,6,1,3,4] => [6,2,5,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,2,4,1] => [4,5,6,2,3,1] => [6,5,4,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,4,1,2] => [4,1,5,6,2,3] => [6,1,5,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,4,2,1] => [2,4,5,6,1,3] => [6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,2,3,5] => [4,1,2,6,3,5] => [6,1,2,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,2,5,3] => [4,1,6,5,3,2] => [6,1,4,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,3,2,5] => [4,3,1,6,2,5] => [3,6,2,4,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,4,1,3,5,2] => [4,6,2,5,3,1] => [6,4,1,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,5,2,3] => [4,6,1,5,2,3] => [6,4,2,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,5,3,2] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,4,2,1,3,5] => [2,4,1,6,3,5] => [6,2,1,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,1,5,3] => [2,4,6,5,3,1] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,3,1,5] => [3,4,2,6,1,5] => [6,3,1,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,3,5,1] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,4,2,5,1,3] => [5,4,1,6,2,3] => [5,6,2,4,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[6,4,2,5,3,1] => [3,5,4,6,1,2] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,1,2,5] => [3,1,4,6,2,5] => [6,1,3,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,1,5,2] => [3,4,6,5,1,2] => [6,4,3,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,2,1,5] => [2,3,4,6,1,5] => [6,2,3,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,2,5,1] => [5,3,4,6,2,1] => [3,6,5,4,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,4,3,5,1,2] => [5,1,4,6,3,2] => [5,1,6,4,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0]
[6,4,3,5,2,1] => [2,5,4,6,3,1] => [5,2,6,4,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0]
[6,4,5,1,2,3] => [5,1,2,6,4,3] => [6,1,2,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,1,3,2] => [5,3,1,6,4,2] => [3,6,2,5,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,4,5,2,1,3] => [2,5,1,6,4,3] => [6,2,1,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,2,3,1] => [3,5,2,6,4,1] => [6,3,1,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,3,1,2] => [3,1,5,6,4,2] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,3,2,1] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,2,3,4] => [5,1,2,3,6,4] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,2,4,3] => [5,1,4,2,6,3] => [4,1,6,3,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0]
[6,5,1,3,2,4] => [5,3,1,2,6,4] => [3,6,2,1,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,5,1,3,4,2] => [5,4,1,3,6,2] => [4,6,2,1,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,5,1,4,2,3] => [5,4,2,1,6,3] => [4,6,1,3,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,5,1,4,3,2] => [5,3,4,1,6,2] => [3,6,4,2,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,5,2,1,3,4] => [2,5,1,3,6,4] => [6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,1,4,3] => [2,5,4,1,6,3] => [4,2,6,3,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[6,5,2,3,1,4] => [3,5,2,1,6,4] => [6,3,1,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,3,4,1] => [4,5,2,3,6,1] => [6,4,1,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,4,1,3] => [4,5,1,2,6,3] => [6,4,2,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,4,3,1] => [3,4,5,1,6,2] => [6,4,3,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,1,2,4] => [3,1,5,2,6,4] => [6,1,3,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,1,4,2] => [3,5,4,2,6,1] => [6,3,4,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,2,1,4] => [2,3,5,1,6,4] => [6,2,3,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,2,4,1] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[6,5,3,4,1,2] => [4,1,5,3,6,2] => [6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,4,2,1] => [2,4,5,3,6,1] => [6,2,4,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,1,2,3] => [4,1,2,5,6,3] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,1,3,2] => [4,3,1,5,6,2] => [3,6,2,4,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[6,5,4,2,1,3] => [2,4,1,5,6,3] => [6,2,1,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,2,3,1] => [3,4,2,5,6,1] => [6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,3,1,2] => [3,1,4,5,6,2] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,3,2,1] => [2,3,4,5,6,1] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => [1,2,3,5,7,4,6] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,3,5,7,6,4] => [1,2,3,6,5,7,4] => [1,2,3,5,7,6,4] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => [1,2,3,7,6,5,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,2,3,6,5,7,4] => [1,2,3,7,6,5,4] => [1,2,3,6,7,4,5] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => [1,2,3,6,4,7,5] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,3,6,7,5,4] => [1,2,3,5,7,6,4] => [1,2,3,6,5,7,4] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => [1,2,3,6,7,5,4] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,3,7,5,4,6] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,7,5,6,4] => [1,2,3,6,7,5,4] => [1,2,3,7,6,4,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,7,6,4,5] => [1,2,3,6,4,7,5] => [1,2,3,7,4,6,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,7,6,5,4] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => [1,2,4,5,7,3,6] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,4,5,7,6,3] => [1,2,6,4,5,7,3] => [1,2,4,5,7,6,3] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => [1,2,4,6,3,5,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => [1,2,4,7,6,5,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,4,6,5,3,7] => [1,2,5,4,6,3,7] => [1,2,4,6,5,3,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,4,6,5,7,3] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => [1,2,4,6,3,7,5] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,4,6,7,5,3] => [1,2,5,4,7,6,3] => [1,2,4,6,5,7,3] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => [1,2,4,7,3,5,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => [1,2,4,6,7,5,3] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,4,7,5,3,6] => [1,2,5,4,7,3,6] => [1,2,4,7,5,3,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,4,7,5,6,3] => [1,2,6,4,7,5,3] => [1,2,4,7,6,3,5] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,4,7,6,3,5] => [1,2,6,4,3,7,5] => [1,2,4,7,3,6,5] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,4,7,6,5,3] => [1,2,5,4,6,7,3] => [1,2,4,7,5,6,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => [1,2,6,5,4,3,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => [1,2,6,5,4,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => [1,2,7,5,4,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,5,3,7,6,4] => [1,2,5,6,3,7,4] => [1,2,7,5,4,6,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,5,4,6,3,7] => [1,2,6,5,4,3,7] => [1,2,5,6,3,4,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,5,4,6,7,3] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,5,4,7,3,6] => [1,2,7,5,4,3,6] => [1,2,5,7,3,4,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,5,4,7,6,3] => [1,2,6,5,4,7,3] => [1,2,5,7,3,6,4] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => [1,2,5,3,6,4,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => [1,2,6,5,7,4,3] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,5,6,4,3,7] => [1,2,4,6,5,3,7] => [1,2,5,4,6,3,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,5,6,4,7,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => [1,2,5,3,6,7,4] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,5,6,7,4,3] => [1,2,4,7,5,6,3] => [1,2,5,4,6,7,3] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => [1,2,5,3,7,4,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,5,7,3,6,4] => [1,2,7,6,5,3,4] => [1,2,5,6,7,4,3] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,5,7,4,3,6] => [1,2,4,7,5,3,6] => [1,2,5,4,7,3,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,5,7,4,6,3] => [1,2,6,7,5,4,3] => [1,2,6,5,7,3,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,5,7,6,3,4] => [1,2,6,3,5,7,4] => [1,2,5,3,7,6,4] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,5,7,6,4,3] => [1,2,4,6,5,7,3] => [1,2,5,4,7,6,3] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => [1,2,7,3,6,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => [1,2,5,6,4,3,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => [1,2,7,6,4,3,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => [1,2,7,6,3,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,6,3,7,5,4] => [1,2,6,5,7,3,4] => [1,2,6,7,5,4,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,6,4,3,5,7] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,6,4,3,7,5] => [1,2,4,6,7,3,5] => [1,2,7,4,6,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,6,4,5,3,7] => [1,2,5,6,4,3,7] => [1,2,6,5,3,4,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,6,4,5,7,3] => [1,2,7,6,4,5,3] => [1,2,6,7,3,4,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,6,4,7,3,5] => [1,2,7,6,3,4,5] => [1,2,6,7,4,5,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,6,4,7,5,3] => [1,2,5,7,6,3,4] => [1,2,7,5,6,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,6,5,3,4,7] => [1,2,5,3,6,4,7] => [1,2,6,3,5,4,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,6,5,3,7,4] => [1,2,5,6,7,4,3] => [1,2,7,6,5,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,6,5,4,3,7] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,6,5,4,7,3] => [1,2,7,5,6,4,3] => [1,2,5,7,6,3,4] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,6,5,7,3,4] => [1,2,7,3,6,5,4] => [1,2,6,3,7,4,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,6,5,7,4,3] => [1,2,4,7,6,5,3] => [1,2,6,4,7,3,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => [1,2,6,3,4,7,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => [1,2,5,6,4,7,3] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,6,7,4,3,5] => [1,2,4,7,3,6,5] => [1,2,6,4,3,7,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,6,7,4,5,3] => [1,2,5,7,4,6,3] => [1,2,6,5,3,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,6,7,5,3,4] => [1,2,5,3,7,6,4] => [1,2,6,3,5,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,6,7,5,4,3] => [1,2,4,5,7,6,3] => [1,2,6,4,5,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => [1,2,6,3,7,5,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => [1,2,5,7,4,3,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => [1,2,6,7,4,3,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => [1,2,6,7,3,5,4] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,7,3,6,5,4] => [1,2,7,5,6,3,4] => [1,2,5,7,6,4,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,7,4,3,5,6] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,4,3,6,5] => [1,2,4,7,6,3,5] => [1,2,6,4,7,5,3] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,7,4,5,3,6] => [1,2,5,7,4,3,6] => [1,2,7,5,3,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,4,5,6,3] => [1,2,6,7,4,5,3] => [1,2,7,6,3,4,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,4,6,3,5] => [1,2,6,7,3,4,5] => [1,2,7,6,4,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,4,6,5,3] => [1,2,5,6,7,3,4] => [1,2,7,6,5,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,5,3,4,6] => [1,2,5,3,7,4,6] => [1,2,7,3,5,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,5,3,6,4] => [1,2,5,7,6,4,3] => [1,2,7,5,6,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,5,4,3,6] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,5,4,6,3] => [1,2,6,5,7,4,3] => [1,2,6,7,5,3,4] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,7,5,6,3,4] => [1,2,6,3,7,5,4] => [1,2,7,3,6,4,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,5,6,4,3] => [1,2,4,6,7,5,3] => [1,2,7,4,6,3,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,6,3,4,5] => [1,2,6,3,4,7,5] => [1,2,7,3,4,6,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,6,3,5,4] => [1,2,6,5,3,7,4] => [1,2,5,7,4,6,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,7,6,4,3,5] => [1,2,4,6,3,7,5] => [1,2,7,4,3,6,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,6,4,5,3] => [1,2,5,6,4,7,3] => [1,2,7,5,3,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,6,5,3,4] => [1,2,5,3,6,7,4] => [1,2,7,3,5,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,7,6,5,4,3] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => [1,3,2,5,7,4,6] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,2,5,7,6,4] => [1,3,2,6,5,7,4] => [1,3,2,5,7,6,4] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => [1,3,2,7,6,5,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,2,6,5,7,4] => [1,3,2,7,6,5,4] => [1,3,2,6,7,4,5] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => [1,3,2,6,4,7,5] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,2,6,7,5,4] => [1,3,2,5,7,6,4] => [1,3,2,6,5,7,4] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => [1,3,2,6,7,5,4] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,2,7,5,4,6] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,2,7,5,6,4] => [1,3,2,6,7,5,4] => [1,3,2,7,6,4,5] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,2,7,6,4,5] => [1,3,2,6,4,7,5] => [1,3,2,7,4,6,5] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,2,7,6,5,4] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => [1,3,4,2,7,5,6] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,4,5,6,7,2] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] => [1,3,4,5,7,2,6] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,4,5,7,6,2] => [1,6,3,4,5,7,2] => [1,3,4,5,7,6,2] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => [1,3,4,6,2,5,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,4,6,2,7,5] => [1,6,3,4,7,2,5] => [1,3,4,7,6,5,2] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,4,6,5,2,7] => [1,5,3,4,6,2,7] => [1,3,4,6,5,2,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,4,6,5,7,2] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,4,6,7,2,5] => [1,7,3,4,2,6,5] => [1,3,4,6,2,7,5] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,4,6,7,5,2] => [1,5,3,4,7,6,2] => [1,3,4,6,5,7,2] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => [1,3,4,7,2,5,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,4,7,2,6,5] => [1,7,3,4,6,2,5] => [1,3,4,6,7,5,2] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,4,7,5,2,6] => [1,5,3,4,7,2,6] => [1,3,4,7,5,2,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,4,7,5,6,2] => [1,6,3,4,7,5,2] => [1,3,4,7,6,2,5] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,4,7,6,2,5] => [1,6,3,4,2,7,5] => [1,3,4,7,2,6,5] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,4,7,6,5,2] => [1,5,3,4,6,7,2] => [1,3,4,7,5,6,2] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => [1,3,5,2,4,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => [1,3,5,2,4,7,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => [1,3,6,5,4,2,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,3,5,2,6,7,4] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => [1,3,7,5,4,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,5,2,7,6,4] => [1,5,3,6,2,7,4] => [1,3,7,5,4,6,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,5,4,2,6,7] => [1,4,3,5,2,6,7] => [1,3,5,4,2,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,3,5,4,2,7,6] => [1,4,3,5,2,7,6] => [1,3,5,4,2,7,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,3,5,4,6,2,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,5,4,6,7,2] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,5,4,7,2,6] => [1,7,3,5,4,2,6] => [1,3,5,7,2,4,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,5,4,7,6,2] => [1,6,3,5,4,7,2] => [1,3,5,7,2,6,4] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => [1,3,5,2,6,4,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,3,5,6,2,7,4] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,3,5,6,4,2,7] => [1,4,3,6,5,2,7] => [1,3,5,4,6,2,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,3,5,6,4,7,2] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] => [1,3,5,2,6,7,4] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,3,5,6,7,4,2] => [1,4,3,7,5,6,2] => [1,3,5,4,6,7,2] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => [1,3,5,2,7,4,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,3,5,7,2,6,4] => [1,7,3,6,5,2,4] => [1,3,5,6,7,4,2] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,5,7,4,2,6] => [1,4,3,7,5,2,6] => [1,3,5,4,7,2,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,3,5,7,4,6,2] => [1,6,3,7,5,4,2] => [1,3,6,5,7,2,4] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,3,5,7,6,2,4] => [1,6,3,2,5,7,4] => [1,3,5,2,7,6,4] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,3,5,7,6,4,2] => [1,4,3,6,5,7,2] => [1,3,5,4,7,6,2] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => [1,3,6,2,4,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => [1,3,7,2,6,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => [1,3,5,6,4,2,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,6,2,5,7,4] => [1,6,3,7,2,5,4] => [1,3,7,6,4,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,6,2,7,4,5] => [1,6,3,7,4,2,5] => [1,3,7,6,2,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,6,2,7,5,4] => [1,6,3,5,7,2,4] => [1,3,6,7,5,4,2] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,6,4,2,5,7] => [1,4,3,6,2,5,7] => [1,3,6,4,2,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,3,6,4,2,7,5] => [1,4,3,6,7,2,5] => [1,3,7,4,6,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,6,4,5,2,7] => [1,5,3,6,4,2,7] => [1,3,6,5,2,4,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,3,6,4,5,7,2] => [1,7,3,6,4,5,2] => [1,3,6,7,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,6,4,7,2,5] => [1,7,3,6,2,4,5] => [1,3,6,7,4,5,2] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,6,4,7,5,2] => [1,5,3,7,6,2,4] => [1,3,7,5,6,4,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,6,5,2,4,7] => [1,5,3,2,6,4,7] => [1,3,6,2,5,4,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,3,6,5,2,7,4] => [1,5,3,6,7,4,2] => [1,3,7,6,5,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,6,5,4,2,7] => [1,4,3,5,6,2,7] => [1,3,6,4,5,2,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,3,6,5,4,7,2] => [1,7,3,5,6,4,2] => [1,3,5,7,6,2,4] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,6,5,7,2,4] => [1,7,3,2,6,5,4] => [1,3,6,2,7,4,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,3,6,5,7,4,2] => [1,4,3,7,6,5,2] => [1,3,6,4,7,2,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => [1,3,6,2,4,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,3,6,7,2,5,4] => [1,7,3,5,2,6,4] => [1,3,5,6,4,7,2] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,6,7,4,2,5] => [1,4,3,7,2,6,5] => [1,3,6,4,2,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,3,6,7,4,5,2] => [1,5,3,7,4,6,2] => [1,3,6,5,2,7,4] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,3,6,7,5,2,4] => [1,5,3,2,7,6,4] => [1,3,6,2,5,7,4] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,3,6,7,5,4,2] => [1,4,3,5,7,6,2] => [1,3,6,4,5,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => [1,3,7,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => [1,3,6,2,7,5,4] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => [1,3,5,7,4,2,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,7,2,5,6,4] => [1,7,3,6,2,5,4] => [1,3,6,7,4,2,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,7,2,6,4,5] => [1,7,3,6,4,2,5] => [1,3,6,7,2,5,4] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,7,2,6,5,4] => [1,7,3,5,6,2,4] => [1,3,5,7,6,4,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,7,4,2,5,6] => [1,4,3,7,2,5,6] => [1,3,7,4,2,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,4,2,6,5] => [1,4,3,7,6,2,5] => [1,3,6,4,7,5,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,3,7,4,5,2,6] => [1,5,3,7,4,2,6] => [1,3,7,5,2,4,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,4,5,6,2] => [1,6,3,7,4,5,2] => [1,3,7,6,2,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,4,6,2,5] => [1,6,3,7,2,4,5] => [1,3,7,6,4,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,4,6,5,2] => [1,5,3,6,7,2,4] => [1,3,7,6,5,4,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,5,2,4,6] => [1,5,3,2,7,4,6] => [1,3,7,2,5,4,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,5,2,6,4] => [1,5,3,7,6,4,2] => [1,3,7,5,6,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,5,4,2,6] => [1,4,3,5,7,2,6] => [1,3,7,4,5,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,5,4,6,2] => [1,6,3,5,7,4,2] => [1,3,6,7,5,2,4] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,7,5,6,2,4] => [1,6,3,2,7,5,4] => [1,3,7,2,6,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,5,6,4,2] => [1,4,3,6,7,5,2] => [1,3,7,4,6,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,6,2,4,5] => [1,6,3,2,4,7,5] => [1,3,7,2,4,6,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,6,2,5,4] => [1,6,3,5,2,7,4] => [1,3,5,7,4,6,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,7,6,4,2,5] => [1,4,3,6,2,7,5] => [1,3,7,4,2,6,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,6,4,5,2] => [1,5,3,6,4,7,2] => [1,3,7,5,2,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,6,5,2,4] => [1,5,3,2,6,7,4] => [1,3,7,2,5,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,3,7,6,5,4,2] => [1,4,3,5,6,7,2] => [1,3,7,4,5,6,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => [1,4,2,3,6,7,5] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,2,3,7,6,5] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => [1,5,4,3,2,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => [1,5,4,3,2,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => [1,5,4,3,6,2,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,4,2,5,6,7,3] => [1,4,7,2,5,6,3] => [1,5,4,3,6,7,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => [1,5,4,3,7,2,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,4,2,5,7,6,3] => [1,4,6,2,5,7,3] => [1,5,4,3,7,6,2] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => [1,6,4,3,2,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => [1,7,4,3,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,6,5,3,7] => [1,4,5,2,6,3,7] => [1,6,4,3,5,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,4,2,6,5,7,3] => [1,4,7,2,6,5,3] => [1,6,4,3,7,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => [1,6,4,3,2,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,4,2,6,7,5,3] => [1,4,5,2,7,6,3] => [1,6,4,3,5,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => [1,7,4,3,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => [1,6,4,3,7,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,4,2,7,5,3,6] => [1,4,5,2,7,3,6] => [1,7,4,3,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,7,5,6,3] => [1,4,6,2,7,5,3] => [1,7,4,3,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,7,6,3,5] => [1,4,6,2,3,7,5] => [1,7,4,3,2,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,7,6,5,3] => [1,4,5,2,6,7,3] => [1,7,4,3,5,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,3,2,7,5,6] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,3,5,2,6,7] => [1,5,4,3,2,6,7] => [1,4,5,2,3,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,4,3,5,2,7,6] => [1,5,4,3,2,7,6] => [1,4,5,2,3,7,6] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,4,3,5,6,2,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,3,5,6,7,2] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,3,5,7,2,6] => [1,7,4,3,5,2,6] => [1,4,5,2,7,3,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,3,5,7,6,2] => [1,6,4,3,5,7,2] => [1,4,5,2,7,6,3] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,3,6,2,5,7] => [1,6,4,3,2,5,7] => [1,4,6,2,3,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,4,3,6,2,7,5] => [1,6,4,3,7,2,5] => [1,4,7,2,6,5,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,4,3,6,5,2,7] => [1,5,4,3,6,2,7] => [1,4,6,2,5,3,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,4,3,6,5,7,2] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,4,3,6,7,2,5] => [1,7,4,3,2,6,5] => [1,4,6,2,3,7,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,4,3,6,7,5,2] => [1,5,4,3,7,6,2] => [1,4,6,2,5,7,3] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,4,3,7,2,5,6] => [1,7,4,3,2,5,6] => [1,4,7,2,3,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,4,3,7,2,6,5] => [1,7,4,3,6,2,5] => [1,4,6,2,7,5,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,4,3,7,5,2,6] => [1,5,4,3,7,2,6] => [1,4,7,2,5,3,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,4,3,7,5,6,2] => [1,6,4,3,7,5,2] => [1,4,7,2,6,3,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,4,3,7,6,2,5] => [1,6,4,3,2,7,5] => [1,4,7,2,3,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,4,3,7,6,5,2] => [1,5,4,3,6,7,2] => [1,4,7,2,5,6,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => [1,4,2,5,3,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => [1,4,2,5,3,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => [1,5,4,6,3,2,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,4,5,2,6,7,3] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,4,5,2,7,3,6] => [1,5,7,4,2,3,6] => [1,5,4,7,3,2,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,4,5,2,7,6,3] => [1,5,6,4,2,7,3] => [1,5,4,7,3,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,4,5,3,2,6,7] => [1,3,5,4,2,6,7] => [1,4,3,5,2,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,4,5,3,2,7,6] => [1,3,5,4,2,7,6] => [1,4,3,5,2,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,4,5,3,6,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,4,5,3,6,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,4,5,3,7,2,6] => [1,7,5,4,3,2,6] => [1,4,5,7,2,3,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,4,5,3,7,6,2] => [1,6,5,4,3,7,2] => [1,4,5,7,2,6,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => [1,4,2,5,6,3,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,5,6,2,7,3] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,4,5,6,3,2,7] => [1,3,6,4,5,2,7] => [1,4,3,5,6,2,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,5,6,3,7,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,5,6,7,2,3] => [1,7,2,4,5,6,3] => [1,4,2,5,6,7,3] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,5,6,7,3,2] => [1,3,7,4,5,6,2] => [1,4,3,5,6,7,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => [1,4,2,5,7,3,6] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,5,7,2,6,3] => [1,7,6,4,5,2,3] => [1,4,5,6,7,3,2] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,5,7,3,2,6] => [1,3,7,4,5,2,6] => [1,4,3,5,7,2,6] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,5,7,3,6,2] => [1,6,7,4,5,3,2] => [1,5,4,6,7,2,3] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,4,5,7,6,2,3] => [1,6,2,4,5,7,3] => [1,4,2,5,7,6,3] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,5,7,6,3,2] => [1,3,6,4,5,7,2] => [1,4,3,5,7,6,2] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => [1,4,2,6,3,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => [1,4,2,7,6,5,3] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,6,2,5,3,7] => [1,6,5,4,2,3,7] => [1,4,5,6,3,2,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,4,6,2,5,7,3] => [1,6,7,4,2,5,3] => [1,6,4,7,3,2,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,4,6,2,7,3,5] => [1,6,7,4,3,2,5] => [1,6,4,7,2,5,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,4,6,2,7,5,3] => [1,6,5,4,7,2,3] => [1,4,6,7,5,3,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,4,6,3,2,5,7] => [1,3,6,4,2,5,7] => [1,4,3,6,2,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,4,6,3,2,7,5] => [1,3,6,4,7,2,5] => [1,4,3,7,6,5,2] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,6,3,5,2,7] => [1,5,6,4,3,2,7] => [1,5,4,6,2,3,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,4,6,3,5,7,2] => [1,7,6,4,3,5,2] => [1,4,6,7,2,3,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,4,6,3,7,2,5] => [1,7,6,4,2,3,5] => [1,4,6,7,3,5,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,4,6,3,7,5,2] => [1,5,7,4,6,2,3] => [1,5,4,7,6,3,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,4,6,5,2,3,7] => [1,5,2,4,6,3,7] => [1,4,2,6,5,3,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,4,6,5,2,7,3] => [1,5,6,4,7,3,2] => [1,6,4,7,5,2,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,4,6,5,3,2,7] => [1,3,5,4,6,2,7] => [1,4,3,6,5,2,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,4,6,5,3,7,2] => [1,7,5,4,6,3,2] => [1,4,5,7,6,2,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,4,6,5,7,2,3] => [1,7,2,4,6,5,3] => [1,4,2,6,7,3,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,6,5,7,3,2] => [1,3,7,4,6,5,2] => [1,4,3,6,7,2,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => [1,4,2,6,3,7,5] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,4,6,7,2,5,3] => [1,7,5,4,2,6,3] => [1,4,5,6,3,7,2] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,4,6,7,3,2,5] => [1,3,7,4,2,6,5] => [1,4,3,6,2,7,5] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,4,6,7,3,5,2] => [1,5,7,4,3,6,2] => [1,5,4,6,2,7,3] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,4,6,7,5,2,3] => [1,5,2,4,7,6,3] => [1,4,2,6,5,7,3] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,4,6,7,5,3,2] => [1,3,5,4,7,6,2] => [1,4,3,6,5,7,2] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => [1,4,2,7,3,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => [1,4,2,6,7,5,3] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,7,2,5,3,6] => [1,7,5,4,2,3,6] => [1,4,5,7,3,2,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,4,7,2,5,6,3] => [1,7,6,4,2,5,3] => [1,4,6,7,3,2,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,4,7,2,6,3,5] => [1,7,6,4,3,2,5] => [1,4,6,7,2,5,3] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,4,7,2,6,5,3] => [1,7,5,4,6,2,3] => [1,4,5,7,6,3,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,4,7,3,2,5,6] => [1,3,7,4,2,5,6] => [1,4,3,7,2,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,7,3,2,6,5] => [1,3,7,4,6,2,5] => [1,4,3,6,7,5,2] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,7,3,5,2,6] => [1,5,7,4,3,2,6] => [1,5,4,7,2,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,4,7,3,5,6,2] => [1,6,7,4,3,5,2] => [1,6,4,7,2,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,4,7,3,6,2,5] => [1,6,7,4,2,3,5] => [1,6,4,7,3,5,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,4,7,3,6,5,2] => [1,5,6,4,7,2,3] => [1,6,4,7,5,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,4,7,5,2,3,6] => [1,5,2,4,7,3,6] => [1,4,2,7,5,3,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,7,5,2,6,3] => [1,5,7,4,6,3,2] => [1,5,4,7,6,2,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,4,7,5,3,2,6] => [1,3,5,4,7,2,6] => [1,4,3,7,5,2,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,7,5,3,6,2] => [1,6,5,4,7,3,2] => [1,4,6,7,5,2,3] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,4,7,5,6,2,3] => [1,6,2,4,7,5,3] => [1,4,2,7,6,3,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,7,5,6,3,2] => [1,3,6,4,7,5,2] => [1,4,3,7,6,2,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,7,6,2,3,5] => [1,6,2,4,3,7,5] => [1,4,2,7,3,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,7,6,2,5,3] => [1,6,5,4,2,7,3] => [1,4,5,7,3,6,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,4,7,6,3,2,5] => [1,3,6,4,2,7,5] => [1,4,3,7,2,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,7,6,3,5,2] => [1,5,6,4,3,7,2] => [1,5,4,7,2,6,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,4,7,6,5,2,3] => [1,5,2,4,6,7,3] => [1,4,2,7,5,6,3] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,4,7,6,5,3,2] => [1,3,5,4,6,7,2] => [1,4,3,7,5,6,2] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => [1,6,2,5,4,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => [1,6,2,5,4,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => [1,7,2,5,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,3,7,6,4] => [1,5,2,6,3,7,4] => [1,7,2,5,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => [1,4,5,3,2,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => [1,4,5,3,2,7,6] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => [1,6,5,3,2,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,5,2,4,6,7,3] => [1,5,7,2,4,6,3] => [1,6,5,3,2,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => [1,7,5,3,2,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,4,7,6,3] => [1,5,6,2,4,7,3] => [1,7,5,3,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => [1,6,5,2,4,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,5,2,6,3,7,4] => [1,5,6,7,2,3,4] => [1,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,6,4,3,7] => [1,5,4,6,2,3,7] => [1,5,6,4,3,2,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,5,2,6,4,7,3] => [1,5,7,6,2,4,3] => [1,7,5,6,4,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,6,7,3,4] => [1,5,7,3,2,6,4] => [1,6,5,2,4,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,5,2,6,7,4,3] => [1,5,4,7,2,6,3] => [1,5,6,4,3,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => [1,7,5,2,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,7,3,6,4] => [1,5,7,6,2,3,4] => [1,7,5,6,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,7,4,3,6] => [1,5,4,7,2,3,6] => [1,5,7,4,3,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,5,2,7,4,6,3] => [1,5,6,7,2,4,3] => [1,7,6,5,4,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,7,6,3,4] => [1,5,6,3,2,7,4] => [1,7,5,2,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,7,6,4,3] => [1,5,4,6,2,7,3] => [1,5,7,4,3,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,5,3,2,4,6,7] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,5,3,2,4,7,6] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,3,2,6,4,7] => [1,3,5,6,2,4,7] => [1,6,3,5,4,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,5,3,2,6,7,4] => [1,3,5,7,2,6,4] => [1,6,3,5,4,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,5,3,2,7,4,6] => [1,3,5,7,2,4,6] => [1,7,3,5,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,2,7,6,4] => [1,3,5,6,2,7,4] => [1,7,3,5,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,4,2,6,7] => [1,4,5,3,2,6,7] => [1,5,4,2,3,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,5,3,4,2,7,6] => [1,4,5,3,2,7,6] => [1,5,4,2,3,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,3,4,6,2,7] => [1,6,5,3,4,2,7] => [1,5,6,2,3,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,5,3,4,6,7,2] => [1,7,5,3,4,6,2] => [1,5,6,2,3,7,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,5,3,4,7,2,6] => [1,7,5,3,4,2,6] => [1,5,7,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,5,3,4,7,6,2] => [1,6,5,3,4,7,2] => [1,5,7,2,3,6,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,5,3,6,2,4,7] => [1,6,5,2,3,4,7] => [1,5,6,3,4,2,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,5,3,6,2,7,4] => [1,6,5,7,3,2,4] => [1,6,7,5,3,4,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,5,3,6,4,2,7] => [1,4,6,5,2,3,7] => [1,6,4,5,3,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,5,3,6,4,7,2] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,5,3,6,7,2,4] => [1,7,5,2,3,6,4] => [1,5,6,3,4,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,5,3,6,7,4,2] => [1,4,7,5,2,6,3] => [1,6,4,5,3,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,5,3,7,2,4,6] => [1,7,5,2,3,4,6] => [1,5,7,3,4,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,5,3,7,2,6,4] => [1,7,5,6,3,2,4] => [1,5,7,6,3,4,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,5,3,7,4,2,6] => [1,4,7,5,2,3,6] => [1,7,4,5,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,7,4,6,2] => [1,6,5,7,3,4,2] => [1,6,7,5,3,2,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,5,3,7,6,2,4] => [1,6,5,2,3,7,4] => [1,5,7,3,4,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,5,3,7,6,4,2] => [1,4,6,5,2,7,3] => [1,7,4,5,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,2,3,6,7] => [1,4,2,5,3,6,7] => [1,5,2,4,3,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,5,4,2,3,7,6] => [1,4,2,5,3,7,6] => [1,5,2,4,3,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,4,2,6,3,7] => [1,4,5,6,3,2,7] => [1,6,5,4,2,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,5,4,2,6,7,3] => [1,4,5,7,3,6,2] => [1,6,5,4,2,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,5,4,2,7,3,6] => [1,4,5,7,3,2,6] => [1,7,5,4,2,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,2,7,6,3] => [1,4,5,6,3,7,2] => [1,7,5,4,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,3,2,6,7] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,5,4,3,2,7,6] => [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,4,3,6,2,7] => [1,6,4,5,3,2,7] => [1,4,6,5,2,3,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,5,4,3,6,7,2] => [1,7,4,5,3,6,2] => [1,4,6,5,2,7,3] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,5,4,3,7,2,6] => [1,7,4,5,3,2,6] => [1,4,7,5,2,3,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,5,4,3,7,6,2] => [1,6,4,5,3,7,2] => [1,4,7,5,2,6,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,5,4,6,2,3,7] => [1,6,2,5,4,3,7] => [1,5,2,6,3,4,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,5,4,6,2,7,3] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,5,4,6,3,2,7] => [1,3,6,5,4,2,7] => [1,5,3,6,2,4,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,5,4,6,3,7,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,5,4,6,7,2,3] => [1,7,2,5,4,6,3] => [1,5,2,6,3,7,4] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,5,4,6,7,3,2] => [1,3,7,5,4,6,2] => [1,5,3,6,2,7,4] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,5,4,7,2,3,6] => [1,7,2,5,4,3,6] => [1,5,2,7,3,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,5,4,7,2,6,3] => [1,7,6,5,4,2,3] => [1,5,6,7,2,4,3] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,5,4,7,3,2,6] => [1,3,7,5,4,2,6] => [1,5,3,7,2,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,5,4,7,3,6,2] => [1,6,7,5,4,3,2] => [1,6,5,7,2,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,5,4,7,6,2,3] => [1,6,2,5,4,7,3] => [1,5,2,7,3,6,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,5,4,7,6,3,2] => [1,3,6,5,4,7,2] => [1,5,3,7,2,6,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => [1,5,2,3,6,4,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,5,6,2,3,7,4] => [1,6,2,7,5,3,4] => [1,6,2,5,7,4,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => [1,4,5,3,6,2,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,5,6,2,4,7,3] => [1,6,7,2,5,4,3] => [1,6,5,3,7,2,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,6,2,7,3,4] => [1,6,7,3,5,2,4] => [1,6,5,2,7,4,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,6,2,7,4,3] => [1,6,4,7,5,2,3] => [1,5,6,4,7,3,2] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,5,6,3,2,4,7] => [1,3,6,2,5,4,7] => [1,5,3,2,6,4,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,5,6,3,2,7,4] => [1,3,6,7,5,2,4] => [1,6,3,5,7,4,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,6,3,4,2,7] => [1,4,6,3,5,2,7] => [1,5,4,2,6,3,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,5,6,3,4,7,2] => [1,7,6,3,5,4,2] => [1,5,6,2,7,3,4] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,5,6,3,7,2,4] => [1,7,6,2,5,3,4] => [1,5,6,3,7,4,2] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,5,6,3,7,4,2] => [1,4,7,6,5,2,3] => [1,6,4,5,7,3,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,6,4,2,3,7] => [1,4,2,6,5,3,7] => [1,5,2,4,6,3,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,5,6,4,2,7,3] => [1,4,6,7,5,3,2] => [1,6,5,4,7,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,6,4,3,2,7] => [1,3,4,6,5,2,7] => [1,5,3,4,6,2,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,5,6,4,3,7,2] => [1,7,4,6,5,3,2] => [1,4,6,5,7,2,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,5,6,4,7,2,3] => [1,7,2,6,5,4,3] => [1,5,2,6,7,3,4] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,5,6,4,7,3,2] => [1,3,7,6,5,4,2] => [1,5,3,6,7,2,4] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => [1,5,2,3,6,7,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,5,6,7,2,4,3] => [1,7,4,2,5,6,3] => [1,4,5,3,6,7,2] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,6,7,3,2,4] => [1,3,7,2,5,6,4] => [1,5,3,2,6,7,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,5,6,7,3,4,2] => [1,4,7,3,5,6,2] => [1,5,4,2,6,7,3] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,5,6,7,4,2,3] => [1,4,2,7,5,6,3] => [1,5,2,4,6,7,3] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,5,6,7,4,3,2] => [1,3,4,7,5,6,2] => [1,5,3,4,6,7,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => [1,5,2,3,7,4,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,5,7,2,3,6,4] => [1,7,2,6,5,3,4] => [1,5,2,6,7,4,3] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => [1,4,5,3,7,2,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,5,7,2,4,6,3] => [1,7,6,2,5,4,3] => [1,5,6,3,7,2,4] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,5,7,2,6,3,4] => [1,7,6,3,5,2,4] => [1,5,6,2,7,4,3] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,5,7,2,6,4,3] => [1,7,4,6,5,2,3] => [1,4,6,5,7,3,2] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,5,7,3,2,4,6] => [1,3,7,2,5,4,6] => [1,5,3,2,7,4,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,5,7,3,2,6,4] => [1,3,7,6,5,2,4] => [1,5,3,6,7,4,2] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,5,7,3,4,2,6] => [1,4,7,3,5,2,6] => [1,5,4,2,7,3,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,5,7,3,4,6,2] => [1,6,7,3,5,4,2] => [1,6,5,2,7,3,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,7,3,6,2,4] => [1,6,7,2,5,3,4] => [1,6,5,3,7,4,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,7,3,6,4,2] => [1,4,6,7,5,2,3] => [1,6,5,4,7,3,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,7,4,2,3,6] => [1,4,2,7,5,3,6] => [1,5,2,4,7,3,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,5,7,4,2,6,3] => [1,4,7,6,5,3,2] => [1,6,4,5,7,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,7,4,3,2,6] => [1,3,4,7,5,2,6] => [1,5,3,4,7,2,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,5,7,4,3,6,2] => [1,6,4,7,5,3,2] => [1,5,6,4,7,2,3] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,5,7,4,6,2,3] => [1,6,2,7,5,4,3] => [1,6,2,5,7,3,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,7,4,6,3,2] => [1,3,6,7,5,4,2] => [1,6,3,5,7,2,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,5,7,6,2,3,4] => [1,6,2,3,5,7,4] => [1,5,2,3,7,6,4] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,5,7,6,2,4,3] => [1,6,4,2,5,7,3] => [1,4,5,3,7,6,2] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,5,7,6,3,2,4] => [1,3,6,2,5,7,4] => [1,5,3,2,7,6,4] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,5,7,6,3,4,2] => [1,4,6,3,5,7,2] => [1,5,4,2,7,6,3] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,5,7,6,4,2,3] => [1,4,2,6,5,7,3] => [1,5,2,4,7,6,3] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,5,7,6,4,3,2] => [1,3,4,6,5,7,2] => [1,5,3,4,7,6,2] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => [1,7,2,3,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => [1,5,2,6,4,3,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => [1,7,2,6,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => [1,7,2,6,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,3,7,5,4] => [1,6,2,5,7,3,4] => [1,6,2,7,5,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => [1,4,6,3,2,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => [1,4,7,3,6,5,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => [1,5,6,3,2,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,6,2,4,5,7,3] => [1,6,7,2,4,5,3] => [1,7,6,3,2,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => [1,7,6,3,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,4,7,5,3] => [1,6,5,2,7,4,3] => [1,6,7,3,5,2,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => [1,5,6,2,4,3,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,6,2,5,3,7,4] => [1,6,5,7,2,3,4] => [1,6,7,5,4,3,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,2,5,4,3,7] => [1,6,4,5,2,3,7] => [1,4,6,5,3,2,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,6,2,5,4,7,3] => [1,6,7,5,2,4,3] => [1,6,5,7,4,2,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,6,2,5,7,3,4] => [1,6,7,3,2,5,4] => [1,7,6,2,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,5,7,4,3] => [1,6,4,7,2,5,3] => [1,6,7,4,3,2,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,2,7,3,4,5] => [1,6,7,3,4,2,5] => [1,7,6,2,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,7,3,5,4] => [1,6,7,5,3,2,4] => [1,6,5,7,3,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,6,2,7,4,3,5] => [1,6,4,7,3,2,5] => [1,6,7,4,2,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,2,7,4,5,3] => [1,6,5,7,4,2,3] => [1,6,7,5,2,4,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,2,7,5,3,4] => [1,6,5,3,7,2,4] => [1,6,7,2,5,4,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,2,7,5,4,3] => [1,6,4,5,7,2,3] => [1,4,7,6,5,3,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,6,3,2,4,5,7] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,3,2,4,7,5] => [1,3,6,2,7,4,5] => [1,7,3,2,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,2,5,4,7] => [1,3,6,5,2,4,7] => [1,5,3,6,4,2,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,6,3,2,5,7,4] => [1,3,6,7,2,5,4] => [1,7,3,6,4,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,2,7,4,5] => [1,3,6,7,4,2,5] => [1,7,3,6,2,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,2,7,5,4] => [1,3,6,5,7,2,4] => [1,6,3,7,5,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,6,3,4,2,5,7] => [1,4,6,3,2,5,7] => [1,6,4,2,3,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,3,4,2,7,5] => [1,4,6,3,7,2,5] => [1,7,4,2,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,4,5,2,7] => [1,5,6,3,4,2,7] => [1,6,5,2,3,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,3,4,5,7,2] => [1,7,6,3,4,5,2] => [1,6,7,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,3,4,7,2,5] => [1,7,6,3,2,4,5] => [1,6,7,2,4,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,3,4,7,5,2] => [1,5,7,2,6,4,3] => [1,7,5,3,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,5,2,4,7] => [1,5,6,2,3,4,7] => [1,6,5,3,4,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,3,5,2,7,4] => [1,5,6,7,3,2,4] => [1,7,6,5,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,5,4,2,7] => [1,4,5,6,2,3,7] => [1,6,5,4,3,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,3,5,4,7,2] => [1,7,6,5,3,4,2] => [1,5,6,7,3,2,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,6,3,5,7,2,4] => [1,7,6,2,3,5,4] => [1,6,7,3,4,2,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,3,5,7,4,2] => [1,4,7,6,2,5,3] => [1,7,4,6,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,7,2,4,5] => [1,7,6,2,4,3,5] => [1,6,7,3,2,5,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,3,7,2,5,4] => [1,7,6,5,2,3,4] => [1,5,6,7,4,3,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,6,3,7,4,2,5] => [1,4,7,6,3,2,5] => [1,7,4,6,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,7,4,5,2] => [1,5,6,7,4,3,2] => [1,7,6,5,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,7,5,2,4] => [1,5,7,3,6,2,4] => [1,7,5,2,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,7,5,4,2] => [1,4,5,7,6,3,2] => [1,7,5,4,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,2,3,5,7] => [1,4,2,6,3,5,7] => [1,6,2,4,3,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,4,2,3,7,5] => [1,4,2,6,7,3,5] => [1,7,2,4,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,2,5,3,7] => [1,4,6,5,3,2,7] => [1,6,4,5,2,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,4,2,5,7,3] => [1,4,6,7,3,5,2] => [1,7,6,4,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,2,7,3,5] => [1,4,6,7,2,3,5] => [1,7,6,4,3,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,2,7,5,3] => [1,4,6,5,7,3,2] => [1,7,4,6,5,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,3,2,5,7] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,4,3,2,7,5] => [1,3,4,6,7,2,5] => [1,7,3,4,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,3,5,2,7] => [1,5,4,6,3,2,7] => [1,5,6,4,2,3,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,6,4,3,5,7,2] => [1,7,4,6,3,5,2] => [1,4,7,6,2,3,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,6,4,3,7,2,5] => [1,7,4,6,2,3,5] => [1,4,7,6,3,5,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,6,4,3,7,5,2] => [1,5,4,7,6,2,3] => [1,5,7,4,6,3,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,6,4,5,2,3,7] => [1,5,2,6,4,3,7] => [1,6,2,5,3,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,4,5,2,7,3] => [1,5,7,6,4,2,3] => [1,7,5,6,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,5,3,2,7] => [1,3,5,6,4,2,7] => [1,6,3,5,2,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,4,5,3,7,2] => [1,7,5,6,4,3,2] => [1,5,7,6,2,3,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,6,4,5,7,2,3] => [1,7,2,6,4,5,3] => [1,6,2,7,3,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,6,4,5,7,3,2] => [1,3,7,6,4,5,2] => [1,6,3,7,2,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,6,4,7,2,3,5] => [1,7,2,6,3,4,5] => [1,6,2,7,4,5,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,6,4,7,2,5,3] => [1,7,5,6,2,4,3] => [1,5,7,6,4,2,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,6,4,7,3,2,5] => [1,3,7,6,2,4,5] => [1,6,3,7,4,5,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,6,4,7,3,5,2] => [1,5,7,6,3,4,2] => [1,7,5,6,3,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,7,5,2,3] => [1,5,2,7,6,3,4] => [1,7,2,5,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,7,5,3,2] => [1,3,5,7,6,2,4] => [1,7,3,5,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,2,3,4,7] => [1,5,2,3,6,4,7] => [1,6,2,3,5,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,5,2,3,7,4] => [1,5,2,6,7,4,3] => [1,7,2,6,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,2,4,3,7] => [1,5,4,2,6,3,7] => [1,4,6,3,5,2,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,6,5,2,4,7,3] => [1,5,6,3,7,4,2] => [1,7,6,2,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,2,7,3,4] => [1,5,6,2,7,3,4] => [1,7,6,3,5,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,2,7,4,3] => [1,5,4,6,7,3,2] => [1,6,7,4,5,2,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,5,3,2,4,7] => [1,3,5,2,6,4,7] => [1,6,3,2,5,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,5,3,2,7,4] => [1,3,5,6,7,4,2] => [1,7,3,6,5,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,3,4,2,7] => [1,4,5,3,6,2,7] => [1,6,4,2,5,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,5,3,4,7,2] => [1,7,5,3,6,4,2] => [1,5,7,2,6,3,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,6,5,3,7,2,4] => [1,7,5,2,6,3,4] => [1,5,7,3,6,4,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,6,5,3,7,4,2] => [1,4,7,5,6,2,3] => [1,7,4,5,6,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,4,2,3,7] => [1,4,2,5,6,3,7] => [1,6,2,4,5,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,5,4,2,7,3] => [1,4,5,6,7,2,3] => [1,7,6,4,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,4,3,2,7] => [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,5,4,3,7,2] => [1,7,4,5,6,3,2] => [1,4,7,5,6,2,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,6,5,4,7,2,3] => [1,7,2,5,6,4,3] => [1,5,2,7,6,3,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,6,5,4,7,3,2] => [1,3,7,5,6,4,2] => [1,5,3,7,6,2,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,6,5,7,2,3,4] => [1,7,2,3,6,5,4] => [1,6,2,3,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,6,5,7,2,4,3] => [1,7,4,2,6,5,3] => [1,4,6,3,7,2,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,6,5,7,3,2,4] => [1,3,7,2,6,5,4] => [1,6,3,2,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,6,5,7,3,4,2] => [1,4,7,3,6,5,2] => [1,6,4,2,7,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,6,5,7,4,2,3] => [1,4,2,7,6,5,3] => [1,6,2,4,7,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,6,5,7,4,3,2] => [1,3,4,7,6,5,2] => [1,6,3,4,7,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => [1,6,2,3,4,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => [1,5,2,6,4,7,3] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => [1,4,6,3,2,7,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,6,7,2,4,5,3] => [1,7,5,2,4,6,3] => [1,5,6,3,2,7,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,6,7,2,5,3,4] => [1,7,5,3,2,6,4] => [1,5,6,2,4,7,3] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,6,7,2,5,4,3] => [1,7,4,5,2,6,3] => [1,4,6,5,3,7,2] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,6,7,3,2,4,5] => [1,3,7,2,4,6,5] => [1,6,3,2,4,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,3,2,5,4] => [1,3,7,5,2,6,4] => [1,5,3,6,4,7,2] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,6,7,3,4,2,5] => [1,4,7,3,2,6,5] => [1,6,4,2,3,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,3,4,5,2] => [1,5,7,3,4,6,2] => [1,6,5,2,3,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,3,5,2,4] => [1,5,7,2,3,6,4] => [1,6,5,3,4,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,3,5,4,2] => [1,4,5,7,2,6,3] => [1,6,5,4,3,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,4,2,3,5] => [1,4,2,7,3,6,5] => [1,6,2,4,3,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,4,2,5,3] => [1,4,7,5,3,6,2] => [1,6,4,5,2,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,4,3,2,5] => [1,3,4,7,2,6,5] => [1,6,3,4,2,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,4,3,5,2] => [1,5,4,7,3,6,2] => [1,5,6,4,2,7,3] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,6,7,4,5,2,3] => [1,5,2,7,4,6,3] => [1,6,2,5,3,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,4,5,3,2] => [1,3,5,7,4,6,2] => [1,6,3,5,2,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,5,2,3,4] => [1,5,2,3,7,6,4] => [1,6,2,3,5,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,5,2,4,3] => [1,5,4,2,7,6,3] => [1,4,6,3,5,7,2] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,6,7,5,3,2,4] => [1,3,5,2,7,6,4] => [1,6,3,2,5,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,5,3,4,2] => [1,4,5,3,7,6,2] => [1,6,4,2,5,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,5,4,2,3] => [1,4,2,5,7,6,3] => [1,6,2,4,5,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,6,7,5,4,3,2] => [1,3,4,5,7,6,2] => [1,6,3,4,5,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => [1,6,2,3,7,5,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => [1,5,2,7,4,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,7,2,3,5,6,4] => [1,7,2,6,3,5,4] => [1,6,2,7,4,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,7,2,3,6,4,5] => [1,7,2,6,4,3,5] => [1,6,2,7,3,5,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,7,2,3,6,5,4] => [1,7,2,5,6,3,4] => [1,5,2,7,6,4,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => [1,4,7,3,2,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,2,4,3,6,5] => [1,7,4,2,6,3,5] => [1,4,6,3,7,5,2] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,7,2,4,5,3,6] => [1,7,5,2,4,3,6] => [1,5,7,3,2,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,2,4,5,6,3] => [1,7,6,2,4,5,3] => [1,6,7,3,2,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,2,4,6,3,5] => [1,7,6,2,3,4,5] => [1,6,7,3,4,5,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,2,4,6,5,3] => [1,7,5,2,6,4,3] => [1,5,7,3,6,2,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,2,5,3,4,6] => [1,7,5,3,2,4,6] => [1,5,7,2,4,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,2,5,3,6,4] => [1,7,5,6,2,3,4] => [1,5,7,6,4,3,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,2,5,4,3,6] => [1,7,4,5,2,3,6] => [1,4,7,5,3,2,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,2,5,4,6,3] => [1,7,6,5,2,4,3] => [1,5,6,7,4,2,3] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,7,2,5,6,3,4] => [1,7,6,3,2,5,4] => [1,6,7,2,4,3,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,2,5,6,4,3] => [1,7,4,6,2,5,3] => [1,4,7,6,3,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,2,6,3,4,5] => [1,7,6,3,4,2,5] => [1,6,7,2,3,5,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,2,6,3,5,4] => [1,7,6,5,3,2,4] => [1,5,6,7,3,4,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,7,2,6,4,3,5] => [1,7,4,6,3,2,5] => [1,4,7,6,2,5,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,2,6,4,5,3] => [1,7,5,6,4,2,3] => [1,5,7,6,2,4,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,2,6,5,3,4] => [1,7,5,3,6,2,4] => [1,5,7,2,6,4,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,2,6,5,4,3] => [1,7,4,5,6,2,3] => [1,4,7,5,6,3,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,3,2,4,5,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,2,4,6,5] => [1,3,7,2,6,4,5] => [1,6,3,2,7,5,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,7,3,2,5,4,6] => [1,3,7,5,2,4,6] => [1,5,3,7,4,2,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,7,3,2,5,6,4] => [1,3,7,6,2,5,4] => [1,6,3,7,4,2,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,7,3,2,6,4,5] => [1,3,7,6,4,2,5] => [1,6,3,7,2,5,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,7,3,2,6,5,4] => [1,3,7,5,6,2,4] => [1,5,3,7,6,4,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,7,3,4,2,5,6] => [1,4,7,3,2,5,6] => [1,7,4,2,3,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,4,2,6,5] => [1,4,7,3,6,2,5] => [1,6,4,2,7,5,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,7,3,4,5,2,6] => [1,5,7,3,4,2,6] => [1,7,5,2,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,4,5,6,2] => [1,6,7,3,4,5,2] => [1,7,6,2,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,4,6,2,5] => [1,6,7,3,2,4,5] => [1,7,6,2,4,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,4,6,5,2] => [1,5,6,2,7,4,3] => [1,7,6,3,5,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,5,2,4,6] => [1,5,7,2,3,4,6] => [1,7,5,3,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,5,2,6,4] => [1,5,7,6,3,2,4] => [1,7,5,6,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,5,4,2,6] => [1,4,5,7,2,3,6] => [1,7,5,4,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,5,4,6,2] => [1,6,7,5,3,4,2] => [1,6,5,7,3,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,7,3,5,6,2,4] => [1,6,7,2,3,5,4] => [1,7,6,3,4,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,5,6,4,2] => [1,4,6,7,2,5,3] => [1,7,6,4,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,6,2,4,5] => [1,6,7,2,4,3,5] => [1,7,6,3,2,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,6,2,5,4] => [1,6,7,5,2,3,4] => [1,6,5,7,4,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,7,3,6,4,2,5] => [1,4,6,7,3,2,5] => [1,7,6,4,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,6,4,5,2] => [1,5,7,6,4,3,2] => [1,7,5,6,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,6,5,2,4] => [1,5,6,3,7,2,4] => [1,7,6,2,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,6,5,4,2] => [1,4,5,6,7,3,2] => [1,7,6,4,5,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,2,3,5,6] => [1,4,2,7,3,5,6] => [1,7,2,4,3,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,2,3,6,5] => [1,4,2,7,6,3,5] => [1,6,2,4,7,5,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,7,4,2,5,3,6] => [1,4,7,5,3,2,6] => [1,7,4,5,2,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,2,5,6,3] => [1,4,7,6,3,5,2] => [1,7,4,6,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,2,6,3,5] => [1,4,7,6,2,3,5] => [1,7,4,6,3,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,2,6,5,3] => [1,4,7,5,6,3,2] => [1,7,4,5,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,3,2,5,6] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,3,2,6,5] => [1,3,4,7,6,2,5] => [1,6,3,4,7,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,7,4,3,5,2,6] => [1,5,4,7,3,2,6] => [1,5,7,4,2,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,4,3,5,6,2] => [1,6,4,7,3,5,2] => [1,6,7,4,2,3,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,4,3,6,2,5] => [1,6,4,7,2,3,5] => [1,6,7,4,3,5,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,4,3,6,5,2] => [1,5,4,6,7,2,3] => [1,6,7,4,5,3,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,4,5,2,3,6] => [1,5,2,7,4,3,6] => [1,7,2,5,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,5,2,6,3] => [1,5,6,7,4,2,3] => [1,7,6,5,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,5,3,2,6] => [1,3,5,7,4,2,6] => [1,7,3,5,2,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,5,3,6,2] => [1,6,5,7,4,3,2] => [1,6,7,5,2,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,4,5,6,2,3] => [1,6,2,7,4,5,3] => [1,7,2,6,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,5,6,3,2] => [1,3,6,7,4,5,2] => [1,7,3,6,2,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,6,2,3,5] => [1,6,2,7,3,4,5] => [1,7,2,6,4,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,6,2,5,3] => [1,6,5,7,2,4,3] => [1,6,7,5,4,2,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,4,6,3,2,5] => [1,3,6,7,2,4,5] => [1,7,3,6,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,6,3,5,2] => [1,5,6,7,3,4,2] => [1,7,6,5,3,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,6,5,2,3] => [1,5,2,6,7,3,4] => [1,7,2,6,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,6,5,3,2] => [1,3,5,6,7,2,4] => [1,7,3,6,5,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,2,3,4,6] => [1,5,2,3,7,4,6] => [1,7,2,3,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,2,3,6,4] => [1,5,2,7,6,4,3] => [1,7,2,5,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,2,4,3,6] => [1,5,4,2,7,3,6] => [1,4,7,3,5,2,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,5,2,4,6,3] => [1,5,7,3,6,4,2] => [1,7,5,2,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,2,6,3,4] => [1,5,7,2,6,3,4] => [1,7,5,3,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,2,6,4,3] => [1,5,4,7,6,3,2] => [1,5,7,4,6,2,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,5,3,2,4,6] => [1,3,5,2,7,4,6] => [1,7,3,2,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,3,2,6,4] => [1,3,5,7,6,4,2] => [1,7,3,5,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,3,4,2,6] => [1,4,5,3,7,2,6] => [1,7,4,2,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,3,4,6,2] => [1,6,5,3,7,4,2] => [1,6,7,2,5,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,5,3,6,2,4] => [1,6,5,2,7,3,4] => [1,6,7,3,5,4,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,5,3,6,4,2] => [1,4,6,5,7,2,3] => [1,7,4,6,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,4,2,3,6] => [1,4,2,5,7,3,6] => [1,7,2,4,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,4,2,6,3] => [1,4,5,7,6,2,3] => [1,7,5,4,6,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,4,3,2,6] => [1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,4,3,6,2] => [1,6,4,5,7,3,2] => [1,4,7,6,5,2,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,5,4,6,2,3] => [1,6,2,5,7,4,3] => [1,6,2,7,5,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,7,5,4,6,3,2] => [1,3,6,5,7,4,2] => [1,6,3,7,5,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,7,5,6,2,3,4] => [1,6,2,3,7,5,4] => [1,7,2,3,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,6,2,4,3] => [1,6,4,2,7,5,3] => [1,4,7,3,6,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,5,6,3,2,4] => [1,3,6,2,7,5,4] => [1,7,3,2,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,6,3,4,2] => [1,4,6,3,7,5,2] => [1,7,4,2,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,6,4,2,3] => [1,4,2,6,7,5,3] => [1,7,2,4,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,5,6,4,3,2] => [1,3,4,6,7,5,2] => [1,7,3,4,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,2,3,4,5] => [1,6,2,3,4,7,5] => [1,7,2,3,4,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,2,3,5,4] => [1,6,2,5,3,7,4] => [1,5,2,7,4,6,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,7,6,2,4,3,5] => [1,6,4,2,3,7,5] => [1,4,7,3,2,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,6,2,4,5,3] => [1,6,5,2,4,7,3] => [1,5,7,3,2,6,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,6,2,5,3,4] => [1,6,5,3,2,7,4] => [1,5,7,2,4,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,6,2,5,4,3] => [1,6,4,5,2,7,3] => [1,4,7,5,3,6,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,6,3,2,4,5] => [1,3,6,2,4,7,5] => [1,7,3,2,4,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,3,2,5,4] => [1,3,6,5,2,7,4] => [1,5,3,7,4,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,7,6,3,4,2,5] => [1,4,6,3,2,7,5] => [1,7,4,2,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,3,4,5,2] => [1,5,6,3,4,7,2] => [1,7,5,2,3,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,3,5,2,4] => [1,5,6,2,3,7,4] => [1,7,5,3,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,3,5,4,2] => [1,4,5,6,2,7,3] => [1,7,5,4,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,4,2,3,5] => [1,4,2,6,3,7,5] => [1,7,2,4,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,4,2,5,3] => [1,4,6,5,3,7,2] => [1,7,4,5,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,4,3,2,5] => [1,3,4,6,2,7,5] => [1,7,3,4,2,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,4,3,5,2] => [1,5,4,6,3,7,2] => [1,5,7,4,2,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,7,6,4,5,2,3] => [1,5,2,6,4,7,3] => [1,7,2,5,3,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,4,5,3,2] => [1,3,5,6,4,7,2] => [1,7,3,5,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,5,2,3,4] => [1,5,2,3,6,7,4] => [1,7,2,3,5,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,5,2,4,3] => [1,5,4,2,6,7,3] => [1,4,7,3,5,6,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,7,6,5,3,2,4] => [1,3,5,2,6,7,4] => [1,7,3,2,5,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,5,3,4,2] => [1,4,5,3,6,7,2] => [1,7,4,2,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,5,4,2,3] => [1,4,2,5,6,7,3] => [1,7,2,4,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,5,4,3,2] => [1,3,4,5,6,7,2] => [1,7,3,4,5,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[2,1,3,4,7,5,6] => [2,1,3,4,7,5,6] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[2,1,3,5,6,7,4] => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[2,1,3,5,7,4,6] => [2,1,3,7,5,4,6] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[2,1,3,5,7,6,4] => [2,1,3,6,5,7,4] => [2,1,3,5,7,6,4] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[2,1,3,6,4,5,7] => [2,1,3,6,4,5,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[2,1,3,6,4,7,5] => [2,1,3,6,7,4,5] => [2,1,3,7,6,5,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[2,1,3,6,5,7,4] => [2,1,3,7,6,5,4] => [2,1,3,6,7,4,5] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[2,1,3,6,7,4,5] => [2,1,3,7,4,6,5] => [2,1,3,6,4,7,5] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[2,1,3,6,7,5,4] => [2,1,3,5,7,6,4] => [2,1,3,6,5,7,4] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[2,1,3,7,4,5,6] => [2,1,3,7,4,5,6] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[2,1,3,7,4,6,5] => [2,1,3,7,6,4,5] => [2,1,3,6,7,5,4] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[2,1,3,7,5,4,6] => [2,1,3,5,7,4,6] => [2,1,3,7,5,4,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[2,1,3,7,5,6,4] => [2,1,3,6,7,5,4] => [2,1,3,7,6,4,5] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[2,1,3,7,6,4,5] => [2,1,3,6,4,7,5] => [2,1,3,7,4,6,5] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[2,1,3,7,6,5,4] => [2,1,3,5,6,7,4] => [2,1,3,7,5,6,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[2,1,4,3,7,5,6] => [2,1,4,3,7,5,6] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[2,1,4,5,6,3,7] => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[2,1,4,5,6,7,3] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[2,1,4,5,7,3,6] => [2,1,7,4,5,3,6] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[2,1,4,5,7,6,3] => [2,1,6,4,5,7,3] => [2,1,4,5,7,6,3] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[2,1,4,6,3,5,7] => [2,1,6,4,3,5,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[2,1,4,6,3,7,5] => [2,1,6,4,7,3,5] => [2,1,4,7,6,5,3] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[2,1,4,6,5,3,7] => [2,1,5,4,6,3,7] => [2,1,4,6,5,3,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[2,1,4,6,5,7,3] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[2,1,4,6,7,3,5] => [2,1,7,4,3,6,5] => [2,1,4,6,3,7,5] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[2,1,4,6,7,5,3] => [2,1,5,4,7,6,3] => [2,1,4,6,5,7,3] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[2,1,4,7,3,5,6] => [2,1,7,4,3,5,6] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[2,1,4,7,3,6,5] => [2,1,7,4,6,3,5] => [2,1,4,6,7,5,3] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[2,1,4,7,5,3,6] => [2,1,5,4,7,3,6] => [2,1,4,7,5,3,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[2,1,4,7,5,6,3] => [2,1,6,4,7,5,3] => [2,1,4,7,6,3,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[2,1,4,7,6,3,5] => [2,1,6,4,3,7,5] => [2,1,4,7,3,6,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[2,1,4,7,6,5,3] => [2,1,5,4,6,7,3] => [2,1,4,7,5,6,3] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[2,1,5,3,4,6,7] => [2,1,5,3,4,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[2,1,5,3,4,7,6] => [2,1,5,3,4,7,6] => [2,1,5,3,4,7,6] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[2,1,5,3,6,4,7] => [2,1,5,6,3,4,7] => [2,1,6,5,4,3,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[2,1,5,3,6,7,4] => [2,1,5,7,3,6,4] => [2,1,6,5,4,7,3] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[2,1,5,3,7,4,6] => [2,1,5,7,3,4,6] => [2,1,7,5,4,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,5,3,7,6,4] => [2,1,5,6,3,7,4] => [2,1,7,5,4,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[2,1,5,4,6,3,7] => [2,1,6,5,4,3,7] => [2,1,5,6,3,4,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[2,1,5,4,6,7,3] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[2,1,5,4,7,3,6] => [2,1,7,5,4,3,6] => [2,1,5,7,3,4,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,1,5,4,7,6,3] => [2,1,6,5,4,7,3] => [2,1,5,7,3,6,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,1,5,6,3,4,7] => [2,1,6,3,5,4,7] => [2,1,5,3,6,4,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[2,1,5,6,3,7,4] => [2,1,6,7,5,3,4] => [2,1,6,5,7,4,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[2,1,5,6,4,3,7] => [2,1,4,6,5,3,7] => [2,1,5,4,6,3,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[2,1,5,6,4,7,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[2,1,5,6,7,3,4] => [2,1,7,3,5,6,4] => [2,1,5,3,6,7,4] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[2,1,5,6,7,4,3] => [2,1,4,7,5,6,3] => [2,1,5,4,6,7,3] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[2,1,5,7,3,4,6] => [2,1,7,3,5,4,6] => [2,1,5,3,7,4,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[2,1,5,7,3,6,4] => [2,1,7,6,5,3,4] => [2,1,5,6,7,4,3] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[2,1,5,7,4,3,6] => [2,1,4,7,5,3,6] => [2,1,5,4,7,3,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[2,1,5,7,4,6,3] => [2,1,6,7,5,4,3] => [2,1,6,5,7,3,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[2,1,5,7,6,3,4] => [2,1,6,3,5,7,4] => [2,1,5,3,7,6,4] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[2,1,5,7,6,4,3] => [2,1,4,6,5,7,3] => [2,1,5,4,7,6,3] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[2,1,6,3,4,5,7] => [2,1,6,3,4,5,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[2,1,6,3,4,7,5] => [2,1,6,3,7,4,5] => [2,1,7,3,6,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,6,3,5,4,7] => [2,1,6,5,3,4,7] => [2,1,5,6,4,3,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[2,1,6,3,5,7,4] => [2,1,6,7,3,5,4] => [2,1,7,6,4,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,6,3,7,4,5] => [2,1,6,7,4,3,5] => [2,1,7,6,3,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,6,3,7,5,4] => [2,1,6,5,7,3,4] => [2,1,6,7,5,4,3] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[2,1,6,4,3,5,7] => [2,1,4,6,3,5,7] => [2,1,6,4,3,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[2,1,6,4,3,7,5] => [2,1,4,6,7,3,5] => [2,1,7,4,6,5,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,6,4,5,3,7] => [2,1,5,6,4,3,7] => [2,1,6,5,3,4,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[2,1,6,4,5,7,3] => [2,1,7,6,4,5,3] => [2,1,6,7,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[2,1,6,4,7,3,5] => [2,1,7,6,3,4,5] => [2,1,6,7,4,5,3] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[2,1,6,4,7,5,3] => [2,1,5,7,6,3,4] => [2,1,7,5,6,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,6,5,3,4,7] => [2,1,5,3,6,4,7] => [2,1,6,3,5,4,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[2,1,6,5,3,7,4] => [2,1,5,6,7,4,3] => [2,1,7,6,5,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,6,5,4,3,7] => [2,1,4,5,6,3,7] => [2,1,6,4,5,3,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[2,1,6,5,4,7,3] => [2,1,7,5,6,4,3] => [2,1,5,7,6,3,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,1,6,5,7,3,4] => [2,1,7,3,6,5,4] => [2,1,6,3,7,4,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[2,1,6,5,7,4,3] => [2,1,4,7,6,5,3] => [2,1,6,4,7,3,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[2,1,6,7,3,4,5] => [2,1,7,3,4,6,5] => [2,1,6,3,4,7,5] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[2,1,6,7,3,5,4] => [2,1,7,5,3,6,4] => [2,1,5,6,4,7,3] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[2,1,6,7,4,3,5] => [2,1,4,7,3,6,5] => [2,1,6,4,3,7,5] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[2,1,6,7,4,5,3] => [2,1,5,7,4,6,3] => [2,1,6,5,3,7,4] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[2,1,6,7,5,3,4] => [2,1,5,3,7,6,4] => [2,1,6,3,5,7,4] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[2,1,6,7,5,4,3] => [2,1,4,5,7,6,3] => [2,1,6,4,5,7,3] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[2,1,7,3,4,5,6] => [2,1,7,3,4,5,6] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,3,4,6,5] => [2,1,7,3,6,4,5] => [2,1,6,3,7,5,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[2,1,7,3,5,4,6] => [2,1,7,5,3,4,6] => [2,1,5,7,4,3,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,1,7,3,5,6,4] => [2,1,7,6,3,5,4] => [2,1,6,7,4,3,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[2,1,7,3,6,4,5] => [2,1,7,6,4,3,5] => [2,1,6,7,3,5,4] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[2,1,7,3,6,5,4] => [2,1,7,5,6,3,4] => [2,1,5,7,6,4,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,1,7,4,3,5,6] => [2,1,4,7,3,5,6] => [2,1,7,4,3,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,4,3,6,5] => [2,1,4,7,6,3,5] => [2,1,6,4,7,5,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[2,1,7,4,5,3,6] => [2,1,5,7,4,3,6] => [2,1,7,5,3,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,4,5,6,3] => [2,1,6,7,4,5,3] => [2,1,7,6,3,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,4,6,3,5] => [2,1,6,7,3,4,5] => [2,1,7,6,4,5,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,4,6,5,3] => [2,1,5,6,7,3,4] => [2,1,7,6,5,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,5,3,4,6] => [2,1,5,3,7,4,6] => [2,1,7,3,5,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,5,3,6,4] => [2,1,5,7,6,4,3] => [2,1,7,5,6,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,5,4,3,6] => [2,1,4,5,7,3,6] => [2,1,7,4,5,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,5,4,6,3] => [2,1,6,5,7,4,3] => [2,1,6,7,5,3,4] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[2,1,7,5,6,3,4] => [2,1,6,3,7,5,4] => [2,1,7,3,6,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,5,6,4,3] => [2,1,4,6,7,5,3] => [2,1,7,4,6,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,6,3,4,5] => [2,1,6,3,4,7,5] => [2,1,7,3,4,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,6,3,5,4] => [2,1,6,5,3,7,4] => [2,1,5,7,4,6,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,1,7,6,4,3,5] => [2,1,4,6,3,7,5] => [2,1,7,4,3,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,6,4,5,3] => [2,1,5,6,4,7,3] => [2,1,7,5,3,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,6,5,3,4] => [2,1,5,3,6,7,4] => [2,1,7,3,5,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,7,6,5,4,3] => [2,1,4,5,6,7,3] => [2,1,7,4,5,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[2,3,1,4,7,5,6] => [3,2,1,4,7,5,6] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[2,3,1,5,6,7,4] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[2,3,1,5,7,4,6] => [3,2,1,7,5,4,6] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[2,3,1,5,7,6,4] => [3,2,1,6,5,7,4] => [2,3,1,5,7,6,4] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[2,3,1,6,4,5,7] => [3,2,1,6,4,5,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[2,3,1,6,4,7,5] => [3,2,1,6,7,4,5] => [2,3,1,7,6,5,4] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => [2,3,1,6,5,4,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[2,3,1,6,5,7,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[2,3,1,6,7,4,5] => [3,2,1,7,4,6,5] => [2,3,1,6,4,7,5] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[2,3,1,6,7,5,4] => [3,2,1,5,7,6,4] => [2,3,1,6,5,7,4] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[2,3,1,7,4,5,6] => [3,2,1,7,4,5,6] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,1,7,4,6,5] => [3,2,1,7,6,4,5] => [2,3,1,6,7,5,4] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[2,3,1,7,5,4,6] => [3,2,1,5,7,4,6] => [2,3,1,7,5,4,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,1,7,5,6,4] => [3,2,1,6,7,5,4] => [2,3,1,7,6,4,5] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,1,7,6,4,5] => [3,2,1,6,4,7,5] => [2,3,1,7,4,6,5] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,1,7,6,5,4] => [3,2,1,5,6,7,4] => [2,3,1,7,5,6,4] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[2,3,4,1,5,7,6] => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[2,3,4,1,6,5,7] => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[2,3,4,1,6,7,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[2,3,4,1,7,5,6] => [4,2,3,1,7,5,6] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[2,3,4,1,7,6,5] => [4,2,3,1,6,7,5] => [2,3,4,1,7,6,5] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[2,3,4,5,1,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,3,4,5,7,1,6] => [7,2,3,4,5,1,6] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[2,3,4,5,7,6,1] => [6,2,3,4,5,7,1] => [2,3,4,5,7,6,1] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[2,3,4,6,1,5,7] => [6,2,3,4,1,5,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[2,3,4,6,1,7,5] => [6,2,3,4,7,1,5] => [2,3,4,7,6,5,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,6,5,1,7] => [5,2,3,4,6,1,7] => [2,3,4,6,5,1,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[2,3,4,6,5,7,1] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[2,3,4,6,7,1,5] => [7,2,3,4,1,6,5] => [2,3,4,6,1,7,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[2,3,4,6,7,5,1] => [5,2,3,4,7,6,1] => [2,3,4,6,5,7,1] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[2,3,4,7,1,5,6] => [7,2,3,4,1,5,6] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,7,1,6,5] => [7,2,3,4,6,1,5] => [2,3,4,6,7,5,1] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[2,3,4,7,5,1,6] => [5,2,3,4,7,1,6] => [2,3,4,7,5,1,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,7,5,6,1] => [6,2,3,4,7,5,1] => [2,3,4,7,6,1,5] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,7,6,1,5] => [6,2,3,4,1,7,5] => [2,3,4,7,1,6,5] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,7,6,5,1] => [5,2,3,4,6,7,1] => [2,3,4,7,5,6,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,5,1,4,6,7] => [5,2,3,1,4,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[2,3,5,1,4,7,6] => [5,2,3,1,4,7,6] => [2,3,5,1,4,7,6] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[2,3,5,1,6,4,7] => [5,2,3,6,1,4,7] => [2,3,6,5,4,1,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[2,3,5,1,6,7,4] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[2,3,5,1,7,4,6] => [5,2,3,7,1,4,6] => [2,3,7,5,4,1,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,5,1,7,6,4] => [5,2,3,6,1,7,4] => [2,3,7,5,4,6,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,5,4,1,6,7] => [4,2,3,5,1,6,7] => [2,3,5,4,1,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[2,3,5,4,1,7,6] => [4,2,3,5,1,7,6] => [2,3,5,4,1,7,6] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[2,3,5,4,6,1,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[2,3,5,4,6,7,1] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[2,3,5,4,7,1,6] => [7,2,3,5,4,1,6] => [2,3,5,7,1,4,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[2,3,5,4,7,6,1] => [6,2,3,5,4,7,1] => [2,3,5,7,1,6,4] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[2,3,5,6,1,4,7] => [6,2,3,1,5,4,7] => [2,3,5,1,6,4,7] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[2,3,5,6,1,7,4] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[2,3,5,6,4,1,7] => [4,2,3,6,5,1,7] => [2,3,5,4,6,1,7] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[2,3,5,6,4,7,1] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[2,3,5,6,7,1,4] => [7,2,3,1,5,6,4] => [2,3,5,1,6,7,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[2,3,5,6,7,4,1] => [4,2,3,7,5,6,1] => [2,3,5,4,6,7,1] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[2,3,5,7,1,4,6] => [7,2,3,1,5,4,6] => [2,3,5,1,7,4,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[2,3,5,7,1,6,4] => [7,2,3,6,5,1,4] => [2,3,5,6,7,4,1] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[2,3,5,7,4,1,6] => [4,2,3,7,5,1,6] => [2,3,5,4,7,1,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[2,3,5,7,4,6,1] => [6,2,3,7,5,4,1] => [2,3,6,5,7,1,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[2,3,5,7,6,1,4] => [6,2,3,1,5,7,4] => [2,3,5,1,7,6,4] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[2,3,5,7,6,4,1] => [4,2,3,6,5,7,1] => [2,3,5,4,7,6,1] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[2,3,6,1,4,5,7] => [6,2,3,1,4,5,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[2,3,6,1,4,7,5] => [6,2,3,1,7,4,5] => [2,3,7,1,6,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,6,1,5,4,7] => [6,2,3,5,1,4,7] => [2,3,5,6,4,1,7] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[2,3,6,1,5,7,4] => [6,2,3,7,1,5,4] => [2,3,7,6,4,1,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,6,1,7,4,5] => [6,2,3,7,4,1,5] => [2,3,7,6,1,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,6,1,7,5,4] => [6,2,3,5,7,1,4] => [2,3,6,7,5,4,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[2,3,6,4,1,5,7] => [4,2,3,6,1,5,7] => [2,3,6,4,1,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[2,3,6,4,1,7,5] => [4,2,3,6,7,1,5] => [2,3,7,4,6,5,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,6,4,5,1,7] => [5,2,3,6,4,1,7] => [2,3,6,5,1,4,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[2,3,6,4,5,7,1] => [7,2,3,6,4,5,1] => [2,3,6,7,1,4,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[2,3,6,4,7,1,5] => [7,2,3,6,1,4,5] => [2,3,6,7,4,5,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[2,3,6,4,7,5,1] => [5,2,3,7,6,1,4] => [2,3,7,5,6,4,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,6,5,1,4,7] => [5,2,3,1,6,4,7] => [2,3,6,1,5,4,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[2,3,6,5,1,7,4] => [5,2,3,6,7,4,1] => [2,3,7,6,5,1,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,6,5,4,1,7] => [4,2,3,5,6,1,7] => [2,3,6,4,5,1,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[2,3,6,5,4,7,1] => [7,2,3,5,6,4,1] => [2,3,5,7,6,1,4] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[2,3,6,5,7,1,4] => [7,2,3,1,6,5,4] => [2,3,6,1,7,4,5] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[2,3,6,5,7,4,1] => [4,2,3,7,6,5,1] => [2,3,6,4,7,1,5] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[2,3,6,7,1,4,5] => [7,2,3,1,4,6,5] => [2,3,6,1,4,7,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[2,3,6,7,1,5,4] => [7,2,3,5,1,6,4] => [2,3,5,6,4,7,1] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[2,3,6,7,4,1,5] => [4,2,3,7,1,6,5] => [2,3,6,4,1,7,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[2,3,6,7,4,5,1] => [5,2,3,7,4,6,1] => [2,3,6,5,1,7,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[2,3,6,7,5,1,4] => [5,2,3,1,7,6,4] => [2,3,6,1,5,7,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[2,3,6,7,5,4,1] => [4,2,3,5,7,6,1] => [2,3,6,4,5,7,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[2,3,7,1,4,5,6] => [7,2,3,1,4,5,6] => [2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,1,4,6,5] => [7,2,3,1,6,4,5] => [2,3,6,1,7,5,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[2,3,7,1,5,4,6] => [7,2,3,5,1,4,6] => [2,3,5,7,4,1,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[2,3,7,1,5,6,4] => [7,2,3,6,1,5,4] => [2,3,6,7,4,1,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[2,3,7,1,6,4,5] => [7,2,3,6,4,1,5] => [2,3,6,7,1,5,4] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[2,3,7,1,6,5,4] => [7,2,3,5,6,1,4] => [2,3,5,7,6,4,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[2,3,7,4,1,5,6] => [4,2,3,7,1,5,6] => [2,3,7,4,1,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,4,1,6,5] => [4,2,3,7,6,1,5] => [2,3,6,4,7,5,1] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[2,3,7,4,5,1,6] => [5,2,3,7,4,1,6] => [2,3,7,5,1,4,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,4,5,6,1] => [6,2,3,7,4,5,1] => [2,3,7,6,1,4,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,4,6,1,5] => [6,2,3,7,1,4,5] => [2,3,7,6,4,5,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,4,6,5,1] => [5,2,3,6,7,1,4] => [2,3,7,6,5,4,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,5,1,4,6] => [5,2,3,1,7,4,6] => [2,3,7,1,5,4,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,5,1,6,4] => [5,2,3,7,6,4,1] => [2,3,7,5,6,1,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,5,4,1,6] => [4,2,3,5,7,1,6] => [2,3,7,4,5,1,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,5,4,6,1] => [6,2,3,5,7,4,1] => [2,3,6,7,5,1,4] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[2,3,7,5,6,1,4] => [6,2,3,1,7,5,4] => [2,3,7,1,6,4,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,5,6,4,1] => [4,2,3,6,7,5,1] => [2,3,7,4,6,1,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,6,1,4,5] => [6,2,3,1,4,7,5] => [2,3,7,1,4,6,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,6,1,5,4] => [6,2,3,5,1,7,4] => [2,3,5,7,4,6,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[2,3,7,6,4,1,5] => [4,2,3,6,1,7,5] => [2,3,7,4,1,6,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,6,4,5,1] => [5,2,3,6,4,7,1] => [2,3,7,5,1,6,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,6,5,1,4] => [5,2,3,1,6,7,4] => [2,3,7,1,5,6,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,7,6,5,4,1] => [4,2,3,5,6,7,1] => [2,3,7,4,5,6,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,4,1,3,5,6,7] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[2,4,1,3,5,7,6] => [4,2,1,3,5,7,6] => [2,4,1,3,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[2,4,1,3,6,5,7] => [4,2,1,3,6,5,7] => [2,4,1,3,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[2,4,1,3,6,7,5] => [4,2,1,3,7,6,5] => [2,4,1,3,6,7,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[2,4,1,3,7,5,6] => [4,2,1,3,7,5,6] => [2,4,1,3,7,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[2,4,1,3,7,6,5] => [4,2,1,3,6,7,5] => [2,4,1,3,7,6,5] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[2,4,1,5,3,6,7] => [4,2,5,1,3,6,7] => [2,5,4,3,1,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[2,4,1,5,3,7,6] => [4,2,5,1,3,7,6] => [2,5,4,3,1,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,4,1,5,6,3,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[2,4,1,5,6,7,3] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[2,4,1,5,7,3,6] => [4,2,7,1,5,3,6] => [2,5,4,3,7,1,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,4,1,5,7,6,3] => [4,2,6,1,5,7,3] => [2,5,4,3,7,6,1] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,4,1,6,3,5,7] => [4,2,6,1,3,5,7] => [2,6,4,3,1,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,4,1,6,3,7,5] => [4,2,6,1,7,3,5] => [2,7,4,3,6,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,6,5,3,7] => [4,2,5,1,6,3,7] => [2,6,4,3,5,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,4,1,6,5,7,3] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,4,1,6,7,3,5] => [4,2,7,1,3,6,5] => [2,6,4,3,1,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,4,1,6,7,5,3] => [4,2,5,1,7,6,3] => [2,6,4,3,5,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,4,1,7,3,5,6] => [4,2,7,1,3,5,6] => [2,7,4,3,1,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,7,3,6,5] => [4,2,7,1,6,3,5] => [2,6,4,3,7,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,4,1,7,5,3,6] => [4,2,5,1,7,3,6] => [2,7,4,3,5,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,7,5,6,3] => [4,2,6,1,7,5,3] => [2,7,4,3,6,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,7,6,3,5] => [4,2,6,1,3,7,5] => [2,7,4,3,1,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,7,6,5,3] => [4,2,5,1,6,7,3] => [2,7,4,3,5,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,1,5,6,7] => [3,2,4,1,5,6,7] => [2,4,3,1,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[2,4,3,1,5,7,6] => [3,2,4,1,5,7,6] => [2,4,3,1,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[2,4,3,1,6,5,7] => [3,2,4,1,6,5,7] => [2,4,3,1,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[2,4,3,1,6,7,5] => [3,2,4,1,7,6,5] => [2,4,3,1,6,7,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[2,4,3,1,7,5,6] => [3,2,4,1,7,5,6] => [2,4,3,1,7,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[2,4,3,1,7,6,5] => [3,2,4,1,6,7,5] => [2,4,3,1,7,6,5] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[2,4,3,5,1,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[2,4,3,5,1,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[2,4,3,5,6,1,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[2,4,3,5,6,7,1] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[2,4,3,5,7,1,6] => [7,2,4,3,5,1,6] => [2,4,5,1,7,3,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[2,4,3,5,7,6,1] => [6,2,4,3,5,7,1] => [2,4,5,1,7,6,3] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[2,4,3,6,1,5,7] => [6,2,4,3,1,5,7] => [2,4,6,1,3,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[2,4,3,6,1,7,5] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,4,3,6,5,1,7] => [5,2,4,3,6,1,7] => [2,4,6,1,5,3,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[2,4,3,6,5,7,1] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[2,4,3,6,7,1,5] => [7,2,4,3,1,6,5] => [2,4,6,1,3,7,5] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[2,4,3,6,7,5,1] => [5,2,4,3,7,6,1] => [2,4,6,1,5,7,3] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[2,4,3,7,1,5,6] => [7,2,4,3,1,5,6] => [2,4,7,1,3,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,4,3,7,1,6,5] => [7,2,4,3,6,1,5] => [2,4,6,1,7,5,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[2,4,3,7,5,1,6] => [5,2,4,3,7,1,6] => [2,4,7,1,5,3,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,4,3,7,5,6,1] => [6,2,4,3,7,5,1] => [2,4,7,1,6,3,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,4,3,7,6,1,5] => [6,2,4,3,1,7,5] => [2,4,7,1,3,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,4,3,7,6,5,1] => [5,2,4,3,6,7,1] => [2,4,7,1,5,6,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,4,5,1,3,6,7] => [5,2,1,4,3,6,7] => [2,4,1,5,3,6,7] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[2,4,5,1,3,7,6] => [5,2,1,4,3,7,6] => [2,4,1,5,3,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[2,4,5,1,6,3,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[2,4,5,1,6,7,3] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[2,4,5,1,7,3,6] => [5,2,7,4,1,3,6] => [2,5,4,7,3,1,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,4,5,1,7,6,3] => [5,2,6,4,1,7,3] => [2,5,4,7,3,6,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,4,5,3,1,6,7] => [3,2,5,4,1,6,7] => [2,4,3,5,1,6,7] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[2,4,5,3,1,7,6] => [3,2,5,4,1,7,6] => [2,4,3,5,1,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[2,4,5,3,6,1,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[2,4,5,3,6,7,1] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[2,4,5,3,7,1,6] => [7,2,5,4,3,1,6] => [2,4,5,7,1,3,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[2,4,5,3,7,6,1] => [6,2,5,4,3,7,1] => [2,4,5,7,1,6,3] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[2,4,5,6,1,3,7] => [6,2,1,4,5,3,7] => [2,4,1,5,6,3,7] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[2,4,5,6,1,7,3] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[2,4,5,6,3,1,7] => [3,2,6,4,5,1,7] => [2,4,3,5,6,1,7] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[2,4,5,6,3,7,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[2,4,5,6,7,1,3] => [7,2,1,4,5,6,3] => [2,4,1,5,6,7,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[2,4,5,6,7,3,1] => [3,2,7,4,5,6,1] => [2,4,3,5,6,7,1] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[2,4,5,7,1,3,6] => [7,2,1,4,5,3,6] => [2,4,1,5,7,3,6] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[2,4,5,7,1,6,3] => [7,2,6,4,5,1,3] => [2,4,5,6,7,3,1] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[2,4,5,7,3,1,6] => [3,2,7,4,5,1,6] => [2,4,3,5,7,1,6] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[2,4,5,7,3,6,1] => [6,2,7,4,5,3,1] => [2,5,4,6,7,1,3] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[2,4,5,7,6,1,3] => [6,2,1,4,5,7,3] => [2,4,1,5,7,6,3] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[2,4,5,7,6,3,1] => [3,2,6,4,5,7,1] => [2,4,3,5,7,6,1] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[2,4,6,1,3,5,7] => [6,2,1,4,3,5,7] => [2,4,1,6,3,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[2,4,6,1,3,7,5] => [6,2,1,4,7,3,5] => [2,4,1,7,6,5,3] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,6,1,5,3,7] => [6,2,5,4,1,3,7] => [2,4,5,6,3,1,7] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[2,4,6,1,5,7,3] => [6,2,7,4,1,5,3] => [2,6,4,7,3,1,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,4,6,1,7,3,5] => [6,2,7,4,3,1,5] => [2,6,4,7,1,5,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,4,6,1,7,5,3] => [6,2,5,4,7,1,3] => [2,4,6,7,5,3,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[2,4,6,3,1,5,7] => [3,2,6,4,1,5,7] => [2,4,3,6,1,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[2,4,6,3,1,7,5] => [3,2,6,4,7,1,5] => [2,4,3,7,6,5,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,6,3,5,1,7] => [5,2,6,4,3,1,7] => [2,5,4,6,1,3,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[2,4,6,3,5,7,1] => [7,2,6,4,3,5,1] => [2,4,6,7,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[2,4,6,3,7,1,5] => [7,2,6,4,1,3,5] => [2,4,6,7,3,5,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[2,4,6,3,7,5,1] => [5,2,7,4,6,1,3] => [2,5,4,7,6,3,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,4,6,5,1,3,7] => [5,2,1,4,6,3,7] => [2,4,1,6,5,3,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[2,4,6,5,1,7,3] => [5,2,6,4,7,3,1] => [2,6,4,7,5,1,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,4,6,5,3,1,7] => [3,2,5,4,6,1,7] => [2,4,3,6,5,1,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[2,4,6,5,3,7,1] => [7,2,5,4,6,3,1] => [2,4,5,7,6,1,3] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[2,4,6,5,7,1,3] => [7,2,1,4,6,5,3] => [2,4,1,6,7,3,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[2,4,6,5,7,3,1] => [3,2,7,4,6,5,1] => [2,4,3,6,7,1,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[2,4,6,7,1,3,5] => [7,2,1,4,3,6,5] => [2,4,1,6,3,7,5] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[2,4,6,7,1,5,3] => [7,2,5,4,1,6,3] => [2,4,5,6,3,7,1] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[2,4,6,7,3,1,5] => [3,2,7,4,1,6,5] => [2,4,3,6,1,7,5] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[2,4,6,7,3,5,1] => [5,2,7,4,3,6,1] => [2,5,4,6,1,7,3] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[2,4,6,7,5,1,3] => [5,2,1,4,7,6,3] => [2,4,1,6,5,7,3] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[2,4,6,7,5,3,1] => [3,2,5,4,7,6,1] => [2,4,3,6,5,7,1] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[2,4,7,1,3,5,6] => [7,2,1,4,3,5,6] => [2,4,1,7,3,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,7,1,3,6,5] => [7,2,1,4,6,3,5] => [2,4,1,6,7,5,3] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[2,4,7,1,5,3,6] => [7,2,5,4,1,3,6] => [2,4,5,7,3,1,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[2,4,7,1,5,6,3] => [7,2,6,4,1,5,3] => [2,4,6,7,3,1,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[2,4,7,1,6,3,5] => [7,2,6,4,3,1,5] => [2,4,6,7,1,5,3] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[2,4,7,1,6,5,3] => [7,2,5,4,6,1,3] => [2,4,5,7,6,3,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[2,4,7,3,1,5,6] => [3,2,7,4,1,5,6] => [2,4,3,7,1,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,7,3,1,6,5] => [3,2,7,4,6,1,5] => [2,4,3,6,7,5,1] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[2,4,7,3,5,1,6] => [5,2,7,4,3,1,6] => [2,5,4,7,1,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,4,7,3,5,6,1] => [6,2,7,4,3,5,1] => [2,6,4,7,1,3,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,4,7,3,6,1,5] => [6,2,7,4,1,3,5] => [2,6,4,7,3,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,4,7,3,6,5,1] => [5,2,6,4,7,1,3] => [2,6,4,7,5,3,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,4,7,5,1,3,6] => [5,2,1,4,7,3,6] => [2,4,1,7,5,3,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,7,5,1,6,3] => [5,2,7,4,6,3,1] => [2,5,4,7,6,1,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,4,7,5,3,1,6] => [3,2,5,4,7,1,6] => [2,4,3,7,5,1,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,7,5,3,6,1] => [6,2,5,4,7,3,1] => [2,4,6,7,5,1,3] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[2,4,7,5,6,1,3] => [6,2,1,4,7,5,3] => [2,4,1,7,6,3,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,7,5,6,3,1] => [3,2,6,4,7,5,1] => [2,4,3,7,6,1,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,7,6,1,3,5] => [6,2,1,4,3,7,5] => [2,4,1,7,3,6,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,7,6,1,5,3] => [6,2,5,4,1,7,3] => [2,4,5,7,3,6,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[2,4,7,6,3,1,5] => [3,2,6,4,1,7,5] => [2,4,3,7,1,6,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,7,6,3,5,1] => [5,2,6,4,3,7,1] => [2,5,4,7,1,6,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,4,7,6,5,1,3] => [5,2,1,4,6,7,3] => [2,4,1,7,5,6,3] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,7,6,5,3,1] => [3,2,5,4,6,7,1] => [2,4,3,7,5,6,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,5,1,3,4,6,7] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[2,5,1,3,4,7,6] => [5,2,1,3,4,7,6] => [2,5,1,3,4,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,5,1,3,6,4,7] => [5,2,1,6,3,4,7] => [2,6,1,5,4,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,5,1,3,6,7,4] => [5,2,1,7,3,6,4] => [2,6,1,5,4,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,5,1,3,7,4,6] => [5,2,1,7,3,4,6] => [2,7,1,5,4,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,3,7,6,4] => [5,2,1,6,3,7,4] => [2,7,1,5,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,4,3,6,7] => [5,2,4,1,3,6,7] => [2,4,5,3,1,6,7] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[2,5,1,4,3,7,6] => [5,2,4,1,3,7,6] => [2,4,5,3,1,7,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[2,5,1,4,6,3,7] => [5,2,6,1,4,3,7] => [2,6,5,3,1,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,5,1,4,6,7,3] => [5,2,7,1,4,6,3] => [2,6,5,3,1,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,5,1,4,7,3,6] => [5,2,7,1,4,3,6] => [2,7,5,3,1,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,4,7,6,3] => [5,2,6,1,4,7,3] => [2,7,5,3,1,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,6,3,4,7] => [5,2,6,3,1,4,7] => [2,6,5,1,4,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,5,1,6,3,7,4] => [5,2,6,7,1,3,4] => [2,7,6,5,4,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,6,4,3,7] => [5,2,4,6,1,3,7] => [2,5,6,4,3,1,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[2,5,1,6,4,7,3] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,6,7,3,4] => [5,2,7,3,1,6,4] => [2,6,5,1,4,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,5,1,6,7,4,3] => [5,2,4,7,1,6,3] => [2,5,6,4,3,7,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[2,5,1,7,3,4,6] => [5,2,7,3,1,4,6] => [2,7,5,1,4,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,7,3,6,4] => [5,2,7,6,1,3,4] => [2,7,5,6,4,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,7,4,3,6] => [5,2,4,7,1,3,6] => [2,5,7,4,3,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,5,1,7,4,6,3] => [5,2,6,7,1,4,3] => [2,7,6,5,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,7,6,3,4] => [5,2,6,3,1,7,4] => [2,7,5,1,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,7,6,4,3] => [5,2,4,6,1,7,3] => [2,5,7,4,3,6,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,5,3,1,4,6,7] => [3,2,5,1,4,6,7] => [2,5,3,1,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[2,5,3,1,4,7,6] => [3,2,5,1,4,7,6] => [2,5,3,1,4,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,5,3,1,6,4,7] => [3,2,5,6,1,4,7] => [2,6,3,5,4,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,5,3,1,6,7,4] => [3,2,5,7,1,6,4] => [2,6,3,5,4,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,5,3,1,7,4,6] => [3,2,5,7,1,4,6] => [2,7,3,5,4,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,1,7,6,4] => [3,2,5,6,1,7,4] => [2,7,3,5,4,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,4,1,6,7] => [4,2,5,3,1,6,7] => [2,5,4,1,3,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[2,5,3,4,1,7,6] => [4,2,5,3,1,7,6] => [2,5,4,1,3,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,5,3,4,6,1,7] => [6,2,5,3,4,1,7] => [2,5,6,1,3,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[2,5,3,4,6,7,1] => [7,2,5,3,4,6,1] => [2,5,6,1,3,7,4] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[2,5,3,4,7,1,6] => [7,2,5,3,4,1,6] => [2,5,7,1,3,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,5,3,4,7,6,1] => [6,2,5,3,4,7,1] => [2,5,7,1,3,6,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,5,3,6,1,4,7] => [6,2,5,1,3,4,7] => [2,5,6,3,4,1,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[2,5,3,6,1,7,4] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,5,3,6,4,1,7] => [4,2,6,5,1,3,7] => [2,6,4,5,3,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,5,3,6,4,7,1] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,5,3,6,7,1,4] => [7,2,5,1,3,6,4] => [2,5,6,3,4,7,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[2,5,3,6,7,4,1] => [4,2,7,5,1,6,3] => [2,6,4,5,3,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,5,3,7,1,4,6] => [7,2,5,1,3,4,6] => [2,5,7,3,4,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,5,3,7,1,6,4] => [7,2,5,6,3,1,4] => [2,5,7,6,3,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,5,3,7,4,1,6] => [4,2,7,5,1,3,6] => [2,7,4,5,3,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,7,4,6,1] => [6,2,5,7,3,4,1] => [2,6,7,5,3,1,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,5,3,7,6,1,4] => [6,2,5,1,3,7,4] => [2,5,7,3,4,6,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,5,3,7,6,4,1] => [4,2,6,5,1,7,3] => [2,7,4,5,3,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,4,1,3,6,7] => [4,2,1,5,3,6,7] => [2,5,1,4,3,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[2,5,4,1,3,7,6] => [4,2,1,5,3,7,6] => [2,5,1,4,3,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,5,4,1,6,3,7] => [4,2,5,6,3,1,7] => [2,6,5,4,1,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,5,4,1,6,7,3] => [4,2,5,7,3,6,1] => [2,6,5,4,1,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,5,4,1,7,3,6] => [4,2,5,7,3,1,6] => [2,7,5,4,1,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,4,1,7,6,3] => [4,2,5,6,3,7,1] => [2,7,5,4,1,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,4,3,1,6,7] => [3,2,4,5,1,6,7] => [2,5,3,4,1,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[2,5,4,3,1,7,6] => [3,2,4,5,1,7,6] => [2,5,3,4,1,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,5,4,3,6,1,7] => [6,2,4,5,3,1,7] => [2,4,6,5,1,3,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[2,5,4,3,6,7,1] => [7,2,4,5,3,6,1] => [2,4,6,5,1,7,3] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[2,5,4,3,7,1,6] => [7,2,4,5,3,1,6] => [2,4,7,5,1,3,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,5,4,3,7,6,1] => [6,2,4,5,3,7,1] => [2,4,7,5,1,6,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,5,4,6,1,3,7] => [6,2,1,5,4,3,7] => [2,5,1,6,3,4,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[2,5,4,6,1,7,3] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,5,4,6,3,1,7] => [3,2,6,5,4,1,7] => [2,5,3,6,1,4,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[2,5,4,6,3,7,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[2,5,4,6,7,1,3] => [7,2,1,5,4,6,3] => [2,5,1,6,3,7,4] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[2,5,4,6,7,3,1] => [3,2,7,5,4,6,1] => [2,5,3,6,1,7,4] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[2,5,4,7,1,3,6] => [7,2,1,5,4,3,6] => [2,5,1,7,3,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,5,4,7,1,6,3] => [7,2,6,5,4,1,3] => [2,5,6,7,1,4,3] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[2,5,4,7,3,1,6] => [3,2,7,5,4,1,6] => [2,5,3,7,1,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,5,4,7,3,6,1] => [6,2,7,5,4,3,1] => [2,6,5,7,1,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,5,4,7,6,1,3] => [6,2,1,5,4,7,3] => [2,5,1,7,3,6,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,5,4,7,6,3,1] => [3,2,6,5,4,7,1] => [2,5,3,7,1,6,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,5,6,1,3,4,7] => [6,2,1,3,5,4,7] => [2,5,1,3,6,4,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[2,5,6,1,3,7,4] => [6,2,1,7,5,3,4] => [2,6,1,5,7,4,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,6,1,4,3,7] => [6,2,4,1,5,3,7] => [2,4,5,3,6,1,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[2,5,6,1,4,7,3] => [6,2,7,1,5,4,3] => [2,6,5,3,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,6,1,7,3,4] => [6,2,7,3,5,1,4] => [2,6,5,1,7,4,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,6,1,7,4,3] => [6,2,4,7,5,1,3] => [2,5,6,4,7,3,1] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[2,5,6,3,1,4,7] => [3,2,6,1,5,4,7] => [2,5,3,1,6,4,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[2,5,6,3,1,7,4] => [3,2,6,7,5,1,4] => [2,6,3,5,7,4,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,6,3,4,1,7] => [4,2,6,3,5,1,7] => [2,5,4,1,6,3,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[2,5,6,3,4,7,1] => [7,2,6,3,5,4,1] => [2,5,6,1,7,3,4] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[2,5,6,3,7,1,4] => [7,2,6,1,5,3,4] => [2,5,6,3,7,4,1] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[2,5,6,3,7,4,1] => [4,2,7,6,5,1,3] => [2,6,4,5,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,6,4,1,3,7] => [4,2,1,6,5,3,7] => [2,5,1,4,6,3,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[2,5,6,4,1,7,3] => [4,2,6,7,5,3,1] => [2,6,5,4,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,6,4,3,1,7] => [3,2,4,6,5,1,7] => [2,5,3,4,6,1,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[2,5,6,4,3,7,1] => [7,2,4,6,5,3,1] => [2,4,6,5,7,1,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[2,5,6,4,7,1,3] => [7,2,1,6,5,4,3] => [2,5,1,6,7,3,4] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[2,5,6,4,7,3,1] => [3,2,7,6,5,4,1] => [2,5,3,6,7,1,4] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[2,5,6,7,1,3,4] => [7,2,1,3,5,6,4] => [2,5,1,3,6,7,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[2,5,6,7,1,4,3] => [7,2,4,1,5,6,3] => [2,4,5,3,6,7,1] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[2,5,6,7,3,1,4] => [3,2,7,1,5,6,4] => [2,5,3,1,6,7,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[2,5,6,7,3,4,1] => [4,2,7,3,5,6,1] => [2,5,4,1,6,7,3] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[2,5,6,7,4,1,3] => [4,2,1,7,5,6,3] => [2,5,1,4,6,7,3] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[2,5,6,7,4,3,1] => [3,2,4,7,5,6,1] => [2,5,3,4,6,7,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[2,5,7,1,3,4,6] => [7,2,1,3,5,4,6] => [2,5,1,3,7,4,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,7,1,3,6,4] => [7,2,1,6,5,3,4] => [2,5,1,6,7,4,3] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[2,5,7,1,4,3,6] => [7,2,4,1,5,3,6] => [2,4,5,3,7,1,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[2,5,7,1,4,6,3] => [7,2,6,1,5,4,3] => [2,5,6,3,7,1,4] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[2,5,7,1,6,3,4] => [7,2,6,3,5,1,4] => [2,5,6,1,7,4,3] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[2,5,7,1,6,4,3] => [7,2,4,6,5,1,3] => [2,4,6,5,7,3,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[2,5,7,3,1,4,6] => [3,2,7,1,5,4,6] => [2,5,3,1,7,4,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,7,3,1,6,4] => [3,2,7,6,5,1,4] => [2,5,3,6,7,4,1] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[2,5,7,3,4,1,6] => [4,2,7,3,5,1,6] => [2,5,4,1,7,3,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,7,3,4,6,1] => [6,2,7,3,5,4,1] => [2,6,5,1,7,3,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,7,3,6,1,4] => [6,2,7,1,5,3,4] => [2,6,5,3,7,4,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,7,3,6,4,1] => [4,2,6,7,5,1,3] => [2,6,5,4,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,7,4,1,3,6] => [4,2,1,7,5,3,6] => [2,5,1,4,7,3,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,7,4,1,6,3] => [4,2,7,6,5,3,1] => [2,6,4,5,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,7,4,3,1,6] => [3,2,4,7,5,1,6] => [2,5,3,4,7,1,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,7,4,3,6,1] => [6,2,4,7,5,3,1] => [2,5,6,4,7,1,3] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[2,5,7,4,6,1,3] => [6,2,1,7,5,4,3] => [2,6,1,5,7,3,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,7,4,6,3,1] => [3,2,6,7,5,4,1] => [2,6,3,5,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,7,6,1,3,4] => [6,2,1,3,5,7,4] => [2,5,1,3,7,6,4] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,7,6,1,4,3] => [6,2,4,1,5,7,3] => [2,4,5,3,7,6,1] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[2,5,7,6,3,1,4] => [3,2,6,1,5,7,4] => [2,5,3,1,7,6,4] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,7,6,3,4,1] => [4,2,6,3,5,7,1] => [2,5,4,1,7,6,3] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,7,6,4,1,3] => [4,2,1,6,5,7,3] => [2,5,1,4,7,6,3] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,7,6,4,3,1] => [3,2,4,6,5,7,1] => [2,5,3,4,7,6,1] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,6,1,3,4,5,7] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,1,3,4,7,5] => [6,2,1,3,7,4,5] => [2,7,1,3,6,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,3,5,4,7] => [6,2,1,5,3,4,7] => [2,5,1,6,4,3,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[2,6,1,3,5,7,4] => [6,2,1,7,3,5,4] => [2,7,1,6,4,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,3,7,4,5] => [6,2,1,7,4,3,5] => [2,7,1,6,3,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,3,7,5,4] => [6,2,1,5,7,3,4] => [2,6,1,7,5,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,6,1,4,3,5,7] => [6,2,4,1,3,5,7] => [2,4,6,3,1,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[2,6,1,4,3,7,5] => [6,2,4,1,7,3,5] => [2,4,7,3,6,5,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,6,1,4,5,3,7] => [6,2,5,1,4,3,7] => [2,5,6,3,1,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[2,6,1,4,5,7,3] => [6,2,7,1,4,5,3] => [2,7,6,3,1,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,4,7,3,5] => [6,2,7,1,3,4,5] => [2,7,6,3,4,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,4,7,5,3] => [6,2,5,1,7,4,3] => [2,6,7,3,5,1,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,1,5,3,4,7] => [6,2,5,3,1,4,7] => [2,5,6,1,4,3,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[2,6,1,5,3,7,4] => [6,2,5,7,1,3,4] => [2,6,7,5,4,3,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,1,5,4,3,7] => [6,2,4,5,1,3,7] => [2,4,6,5,3,1,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[2,6,1,5,4,7,3] => [6,2,7,5,1,4,3] => [2,6,5,7,4,1,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,6,1,5,7,3,4] => [6,2,7,3,1,5,4] => [2,7,6,1,4,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,5,7,4,3] => [6,2,4,7,1,5,3] => [2,6,7,4,3,1,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,1,7,3,4,5] => [6,2,7,3,4,1,5] => [2,7,6,1,3,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,7,3,5,4] => [6,2,7,5,3,1,4] => [2,6,5,7,3,4,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,6,1,7,4,3,5] => [6,2,4,7,3,1,5] => [2,6,7,4,1,5,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,1,7,4,5,3] => [6,2,5,7,4,1,3] => [2,6,7,5,1,4,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,1,7,5,3,4] => [6,2,5,3,7,1,4] => [2,6,7,1,5,4,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,1,7,5,4,3] => [6,2,4,5,7,1,3] => [2,4,7,6,5,3,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,6,3,1,4,5,7] => [3,2,6,1,4,5,7] => [2,6,3,1,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,3,1,4,7,5] => [3,2,6,1,7,4,5] => [2,7,3,1,6,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,1,5,4,7] => [3,2,6,5,1,4,7] => [2,5,3,6,4,1,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[2,6,3,1,5,7,4] => [3,2,6,7,1,5,4] => [2,7,3,6,4,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,1,7,4,5] => [3,2,6,7,4,1,5] => [2,7,3,6,1,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,1,7,5,4] => [3,2,6,5,7,1,4] => [2,6,3,7,5,4,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,6,3,4,1,5,7] => [4,2,6,3,1,5,7] => [2,6,4,1,3,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,3,4,1,7,5] => [4,2,6,3,7,1,5] => [2,7,4,1,6,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,4,5,1,7] => [5,2,6,3,4,1,7] => [2,6,5,1,3,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,3,4,5,7,1] => [7,2,6,3,4,5,1] => [2,6,7,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,3,4,7,1,5] => [7,2,6,3,1,4,5] => [2,6,7,1,4,5,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,3,4,7,5,1] => [5,2,7,1,6,4,3] => [2,7,5,3,6,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,5,1,4,7] => [5,2,6,1,3,4,7] => [2,6,5,3,4,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,3,5,1,7,4] => [5,2,6,7,3,1,4] => [2,7,6,5,3,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,5,4,1,7] => [4,2,5,6,1,3,7] => [2,6,5,4,3,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,3,5,4,7,1] => [7,2,6,5,3,4,1] => [2,5,6,7,3,1,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[2,6,3,5,7,1,4] => [7,2,6,1,3,5,4] => [2,6,7,3,4,1,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,3,5,7,4,1] => [4,2,7,6,1,5,3] => [2,7,4,6,3,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,7,1,4,5] => [7,2,6,1,4,3,5] => [2,6,7,3,1,5,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,3,7,1,5,4] => [7,2,6,5,1,3,4] => [2,5,6,7,4,3,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[2,6,3,7,4,1,5] => [4,2,7,6,3,1,5] => [2,7,4,6,1,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,7,4,5,1] => [5,2,6,7,4,3,1] => [2,7,6,5,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,7,5,1,4] => [5,2,7,3,6,1,4] => [2,7,5,1,6,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,7,5,4,1] => [4,2,5,7,6,3,1] => [2,7,5,4,6,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,1,3,5,7] => [4,2,1,6,3,5,7] => [2,6,1,4,3,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,4,1,3,7,5] => [4,2,1,6,7,3,5] => [2,7,1,4,6,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,1,5,3,7] => [4,2,6,5,3,1,7] => [2,6,4,5,1,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,4,1,5,7,3] => [4,2,6,7,3,5,1] => [2,7,6,4,1,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,1,7,3,5] => [4,2,6,7,1,3,5] => [2,7,6,4,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,1,7,5,3] => [4,2,6,5,7,3,1] => [2,7,4,6,5,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,3,1,5,7] => [3,2,4,6,1,5,7] => [2,6,3,4,1,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,4,3,1,7,5] => [3,2,4,6,7,1,5] => [2,7,3,4,6,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,3,5,1,7] => [5,2,4,6,3,1,7] => [2,5,6,4,1,3,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[2,6,4,3,5,7,1] => [7,2,4,6,3,5,1] => [2,4,7,6,1,3,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,6,4,3,7,1,5] => [7,2,4,6,1,3,5] => [2,4,7,6,3,5,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,6,4,3,7,5,1] => [5,2,4,7,6,1,3] => [2,5,7,4,6,3,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,6,4,5,1,3,7] => [5,2,1,6,4,3,7] => [2,6,1,5,3,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,4,5,1,7,3] => [5,2,7,6,4,1,3] => [2,7,5,6,1,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,5,3,1,7] => [3,2,5,6,4,1,7] => [2,6,3,5,1,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,4,5,3,7,1] => [7,2,5,6,4,3,1] => [2,5,7,6,1,3,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,6,4,5,7,1,3] => [7,2,1,6,4,5,3] => [2,6,1,7,3,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,6,4,5,7,3,1] => [3,2,7,6,4,5,1] => [2,6,3,7,1,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,6,4,7,1,3,5] => [7,2,1,6,3,4,5] => [2,6,1,7,4,5,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,6,4,7,1,5,3] => [7,2,5,6,1,4,3] => [2,5,7,6,4,1,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,6,4,7,3,1,5] => [3,2,7,6,1,4,5] => [2,6,3,7,4,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,6,4,7,3,5,1] => [5,2,7,6,3,4,1] => [2,7,5,6,3,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,7,5,1,3] => [5,2,1,7,6,3,4] => [2,7,1,5,6,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,7,5,3,1] => [3,2,5,7,6,1,4] => [2,7,3,5,6,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,1,3,4,7] => [5,2,1,3,6,4,7] => [2,6,1,3,5,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,5,1,3,7,4] => [5,2,1,6,7,4,3] => [2,7,1,6,5,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,1,4,3,7] => [5,2,4,1,6,3,7] => [2,4,6,3,5,1,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[2,6,5,1,4,7,3] => [5,2,6,3,7,4,1] => [2,7,6,1,5,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,1,7,3,4] => [5,2,6,1,7,3,4] => [2,7,6,3,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,1,7,4,3] => [5,2,4,6,7,3,1] => [2,6,7,4,5,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,6,5,3,1,4,7] => [3,2,5,1,6,4,7] => [2,6,3,1,5,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,5,3,1,7,4] => [3,2,5,6,7,4,1] => [2,7,3,6,5,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,3,4,1,7] => [4,2,5,3,6,1,7] => [2,6,4,1,5,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,5,3,4,7,1] => [7,2,5,3,6,4,1] => [2,5,7,1,6,3,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,6,5,3,7,1,4] => [7,2,5,1,6,3,4] => [2,5,7,3,6,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,6,5,3,7,4,1] => [4,2,7,5,6,1,3] => [2,7,4,5,6,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,4,1,3,7] => [4,2,1,5,6,3,7] => [2,6,1,4,5,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,5,4,1,7,3] => [4,2,5,6,7,1,3] => [2,7,6,4,5,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,4,3,1,7] => [3,2,4,5,6,1,7] => [2,6,3,4,5,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,5,4,3,7,1] => [7,2,4,5,6,3,1] => [2,4,7,5,6,1,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,6,5,4,7,1,3] => [7,2,1,5,6,4,3] => [2,5,1,7,6,3,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,6,5,4,7,3,1] => [3,2,7,5,6,4,1] => [2,5,3,7,6,1,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,6,5,7,1,3,4] => [7,2,1,3,6,5,4] => [2,6,1,3,7,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,6,5,7,1,4,3] => [7,2,4,1,6,5,3] => [2,4,6,3,7,1,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[2,6,5,7,3,1,4] => [3,2,7,1,6,5,4] => [2,6,3,1,7,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,6,5,7,3,4,1] => [4,2,7,3,6,5,1] => [2,6,4,1,7,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,6,5,7,4,1,3] => [4,2,1,7,6,5,3] => [2,6,1,4,7,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,6,5,7,4,3,1] => [3,2,4,7,6,5,1] => [2,6,3,4,7,1,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,6,7,1,3,4,5] => [7,2,1,3,4,6,5] => [2,6,1,3,4,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,1,3,5,4] => [7,2,1,5,3,6,4] => [2,5,1,6,4,7,3] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[2,6,7,1,4,3,5] => [7,2,4,1,3,6,5] => [2,4,6,3,1,7,5] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[2,6,7,1,4,5,3] => [7,2,5,1,4,6,3] => [2,5,6,3,1,7,4] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[2,6,7,1,5,3,4] => [7,2,5,3,1,6,4] => [2,5,6,1,4,7,3] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[2,6,7,1,5,4,3] => [7,2,4,5,1,6,3] => [2,4,6,5,3,7,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[2,6,7,3,1,4,5] => [3,2,7,1,4,6,5] => [2,6,3,1,4,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,3,1,5,4] => [3,2,7,5,1,6,4] => [2,5,3,6,4,7,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[2,6,7,3,4,1,5] => [4,2,7,3,1,6,5] => [2,6,4,1,3,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,3,4,5,1] => [5,2,7,3,4,6,1] => [2,6,5,1,3,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,3,5,1,4] => [5,2,7,1,3,6,4] => [2,6,5,3,4,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,3,5,4,1] => [4,2,5,7,1,6,3] => [2,6,5,4,3,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,4,1,3,5] => [4,2,1,7,3,6,5] => [2,6,1,4,3,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,4,1,5,3] => [4,2,7,5,3,6,1] => [2,6,4,5,1,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,4,3,1,5] => [3,2,4,7,1,6,5] => [2,6,3,4,1,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,4,3,5,1] => [5,2,4,7,3,6,1] => [2,5,6,4,1,7,3] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[2,6,7,4,5,1,3] => [5,2,1,7,4,6,3] => [2,6,1,5,3,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,4,5,3,1] => [3,2,5,7,4,6,1] => [2,6,3,5,1,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,5,1,3,4] => [5,2,1,3,7,6,4] => [2,6,1,3,5,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,5,1,4,3] => [5,2,4,1,7,6,3] => [2,4,6,3,5,7,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[2,6,7,5,3,1,4] => [3,2,5,1,7,6,4] => [2,6,3,1,5,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,5,3,4,1] => [4,2,5,3,7,6,1] => [2,6,4,1,5,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,5,4,1,3] => [4,2,1,5,7,6,3] => [2,6,1,4,5,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,6,7,5,4,3,1] => [3,2,4,5,7,6,1] => [2,6,3,4,5,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,7,1,3,4,5,6] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,1,3,4,6,5] => [7,2,1,3,6,4,5] => [2,6,1,3,7,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,7,1,3,5,4,6] => [7,2,1,5,3,4,6] => [2,5,1,7,4,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,7,1,3,5,6,4] => [7,2,1,6,3,5,4] => [2,6,1,7,4,3,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,7,1,3,6,4,5] => [7,2,1,6,4,3,5] => [2,6,1,7,3,5,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,7,1,3,6,5,4] => [7,2,1,5,6,3,4] => [2,5,1,7,6,4,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,7,1,4,3,5,6] => [7,2,4,1,3,5,6] => [2,4,7,3,1,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,1,4,3,6,5] => [7,2,4,1,6,3,5] => [2,4,6,3,7,5,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[2,7,1,4,5,3,6] => [7,2,5,1,4,3,6] => [2,5,7,3,1,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,1,4,5,6,3] => [7,2,6,1,4,5,3] => [2,6,7,3,1,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,1,4,6,3,5] => [7,2,6,1,3,4,5] => [2,6,7,3,4,5,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,1,4,6,5,3] => [7,2,5,1,6,4,3] => [2,5,7,3,6,1,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,1,5,3,4,6] => [7,2,5,3,1,4,6] => [2,5,7,1,4,3,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,1,5,3,6,4] => [7,2,5,6,1,3,4] => [2,5,7,6,4,3,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,1,5,4,3,6] => [7,2,4,5,1,3,6] => [2,4,7,5,3,1,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,1,5,4,6,3] => [7,2,6,5,1,4,3] => [2,5,6,7,4,1,3] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[2,7,1,5,6,3,4] => [7,2,6,3,1,5,4] => [2,6,7,1,4,3,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,1,5,6,4,3] => [7,2,4,6,1,5,3] => [2,4,7,6,3,1,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,1,6,3,4,5] => [7,2,6,3,4,1,5] => [2,6,7,1,3,5,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,1,6,3,5,4] => [7,2,6,5,3,1,4] => [2,5,6,7,3,4,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[2,7,1,6,4,3,5] => [7,2,4,6,3,1,5] => [2,4,7,6,1,5,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,1,6,4,5,3] => [7,2,5,6,4,1,3] => [2,5,7,6,1,4,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,1,6,5,3,4] => [7,2,5,3,6,1,4] => [2,5,7,1,6,4,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,1,6,5,4,3] => [7,2,4,5,6,1,3] => [2,4,7,5,6,3,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,3,1,4,5,6] => [3,2,7,1,4,5,6] => [2,7,3,1,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,1,4,6,5] => [3,2,7,1,6,4,5] => [2,6,3,1,7,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,7,3,1,5,4,6] => [3,2,7,5,1,4,6] => [2,5,3,7,4,1,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,7,3,1,5,6,4] => [3,2,7,6,1,5,4] => [2,6,3,7,4,1,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,7,3,1,6,4,5] => [3,2,7,6,4,1,5] => [2,6,3,7,1,5,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,7,3,1,6,5,4] => [3,2,7,5,6,1,4] => [2,5,3,7,6,4,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,7,3,4,1,5,6] => [4,2,7,3,1,5,6] => [2,7,4,1,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,4,1,6,5] => [4,2,7,3,6,1,5] => [2,6,4,1,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,7,3,4,5,1,6] => [5,2,7,3,4,1,6] => [2,7,5,1,3,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,4,5,6,1] => [6,2,7,3,4,5,1] => [2,7,6,1,3,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,4,6,1,5] => [6,2,7,3,1,4,5] => [2,7,6,1,4,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,4,6,5,1] => [5,2,6,1,7,4,3] => [2,7,6,3,5,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,5,1,4,6] => [5,2,7,1,3,4,6] => [2,7,5,3,4,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,5,1,6,4] => [5,2,7,6,3,1,4] => [2,7,5,6,3,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,5,4,1,6] => [4,2,5,7,1,3,6] => [2,7,5,4,3,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,5,4,6,1] => [6,2,7,5,3,4,1] => [2,6,5,7,3,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,7,3,5,6,1,4] => [6,2,7,1,3,5,4] => [2,7,6,3,4,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,5,6,4,1] => [4,2,6,7,1,5,3] => [2,7,6,4,3,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,6,1,4,5] => [6,2,7,1,4,3,5] => [2,7,6,3,1,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,6,1,5,4] => [6,2,7,5,1,3,4] => [2,6,5,7,4,3,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,7,3,6,4,1,5] => [4,2,6,7,3,1,5] => [2,7,6,4,1,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,6,4,5,1] => [5,2,7,6,4,3,1] => [2,7,5,6,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,6,5,1,4] => [5,2,6,3,7,1,4] => [2,7,6,1,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,6,5,4,1] => [4,2,5,6,7,3,1] => [2,7,6,4,5,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,1,3,5,6] => [4,2,1,7,3,5,6] => [2,7,1,4,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,1,3,6,5] => [4,2,1,7,6,3,5] => [2,6,1,4,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,7,4,1,5,3,6] => [4,2,7,5,3,1,6] => [2,7,4,5,1,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,1,5,6,3] => [4,2,7,6,3,5,1] => [2,7,4,6,1,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,1,6,3,5] => [4,2,7,6,1,3,5] => [2,7,4,6,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,1,6,5,3] => [4,2,7,5,6,3,1] => [2,7,4,5,6,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,3,1,5,6] => [3,2,4,7,1,5,6] => [2,7,3,4,1,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,3,1,6,5] => [3,2,4,7,6,1,5] => [2,6,3,4,7,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,7,4,3,5,1,6] => [5,2,4,7,3,1,6] => [2,5,7,4,1,3,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,4,3,5,6,1] => [6,2,4,7,3,5,1] => [2,6,7,4,1,3,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,4,3,6,1,5] => [6,2,4,7,1,3,5] => [2,6,7,4,3,5,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,4,3,6,5,1] => [5,2,4,6,7,1,3] => [2,6,7,4,5,3,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,4,5,1,3,6] => [5,2,1,7,4,3,6] => [2,7,1,5,3,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,5,1,6,3] => [5,2,6,7,4,1,3] => [2,7,6,5,1,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,5,3,1,6] => [3,2,5,7,4,1,6] => [2,7,3,5,1,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,5,3,6,1] => [6,2,5,7,4,3,1] => [2,6,7,5,1,3,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,4,5,6,1,3] => [6,2,1,7,4,5,3] => [2,7,1,6,3,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,5,6,3,1] => [3,2,6,7,4,5,1] => [2,7,3,6,1,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,6,1,3,5] => [6,2,1,7,3,4,5] => [2,7,1,6,4,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,6,1,5,3] => [6,2,5,7,1,4,3] => [2,6,7,5,4,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,4,6,3,1,5] => [3,2,6,7,1,4,5] => [2,7,3,6,4,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,6,3,5,1] => [5,2,6,7,3,4,1] => [2,7,6,5,3,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,6,5,1,3] => [5,2,1,6,7,3,4] => [2,7,1,6,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,4,6,5,3,1] => [3,2,5,6,7,1,4] => [2,7,3,6,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,1,3,4,6] => [5,2,1,3,7,4,6] => [2,7,1,3,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,1,3,6,4] => [5,2,1,7,6,4,3] => [2,7,1,5,6,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,1,4,3,6] => [5,2,4,1,7,3,6] => [2,4,7,3,5,1,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,5,1,4,6,3] => [5,2,7,3,6,4,1] => [2,7,5,1,6,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,1,6,3,4] => [5,2,7,1,6,3,4] => [2,7,5,3,6,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,1,6,4,3] => [5,2,4,7,6,3,1] => [2,5,7,4,6,1,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,5,3,1,4,6] => [3,2,5,1,7,4,6] => [2,7,3,1,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,3,1,6,4] => [3,2,5,7,6,4,1] => [2,7,3,5,6,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,3,4,1,6] => [4,2,5,3,7,1,6] => [2,7,4,1,5,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,3,4,6,1] => [6,2,5,3,7,4,1] => [2,6,7,1,5,3,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,5,3,6,1,4] => [6,2,5,1,7,3,4] => [2,6,7,3,5,4,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,5,3,6,4,1] => [4,2,6,5,7,1,3] => [2,7,4,6,5,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,4,1,3,6] => [4,2,1,5,7,3,6] => [2,7,1,4,5,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,4,1,6,3] => [4,2,5,7,6,1,3] => [2,7,5,4,6,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,4,3,1,6] => [3,2,4,5,7,1,6] => [2,7,3,4,5,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,4,3,6,1] => [6,2,4,5,7,3,1] => [2,4,7,6,5,1,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,5,4,6,1,3] => [6,2,1,5,7,4,3] => [2,6,1,7,5,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,7,5,4,6,3,1] => [3,2,6,5,7,4,1] => [2,6,3,7,5,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,7,5,6,1,3,4] => [6,2,1,3,7,5,4] => [2,7,1,3,6,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,6,1,4,3] => [6,2,4,1,7,5,3] => [2,4,7,3,6,1,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,5,6,3,1,4] => [3,2,6,1,7,5,4] => [2,7,3,1,6,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,6,3,4,1] => [4,2,6,3,7,5,1] => [2,7,4,1,6,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,6,4,1,3] => [4,2,1,6,7,5,3] => [2,7,1,4,6,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,5,6,4,3,1] => [3,2,4,6,7,5,1] => [2,7,3,4,6,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,1,3,4,5] => [6,2,1,3,4,7,5] => [2,7,1,3,4,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,1,3,5,4] => [6,2,1,5,3,7,4] => [2,5,1,7,4,6,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,7,6,1,4,3,5] => [6,2,4,1,3,7,5] => [2,4,7,3,1,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,6,1,4,5,3] => [6,2,5,1,4,7,3] => [2,5,7,3,1,6,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,6,1,5,3,4] => [6,2,5,3,1,7,4] => [2,5,7,1,4,6,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,6,1,5,4,3] => [6,2,4,5,1,7,3] => [2,4,7,5,3,6,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,6,3,1,4,5] => [3,2,6,1,4,7,5] => [2,7,3,1,4,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,3,1,5,4] => [3,2,6,5,1,7,4] => [2,5,3,7,4,6,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[2,7,6,3,4,1,5] => [4,2,6,3,1,7,5] => [2,7,4,1,3,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,3,4,5,1] => [5,2,6,3,4,7,1] => [2,7,5,1,3,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,3,5,1,4] => [5,2,6,1,3,7,4] => [2,7,5,3,4,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,3,5,4,1] => [4,2,5,6,1,7,3] => [2,7,5,4,3,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,4,1,3,5] => [4,2,1,6,3,7,5] => [2,7,1,4,3,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,4,1,5,3] => [4,2,6,5,3,7,1] => [2,7,4,5,1,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,4,3,1,5] => [3,2,4,6,1,7,5] => [2,7,3,4,1,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,4,3,5,1] => [5,2,4,6,3,7,1] => [2,5,7,4,1,6,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,7,6,4,5,1,3] => [5,2,1,6,4,7,3] => [2,7,1,5,3,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,4,5,3,1] => [3,2,5,6,4,7,1] => [2,7,3,5,1,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,5,1,3,4] => [5,2,1,3,6,7,4] => [2,7,1,3,5,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,5,1,4,3] => [5,2,4,1,6,7,3] => [2,4,7,3,5,6,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,7,6,5,3,1,4] => [3,2,5,1,6,7,4] => [2,7,3,1,5,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,5,3,4,1] => [4,2,5,3,6,7,1] => [2,7,4,1,5,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,5,4,1,3] => [4,2,1,5,6,7,3] => [2,7,1,4,5,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,5,4,3,1] => [3,2,4,5,6,7,1] => [2,7,3,4,5,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[3,1,2,4,5,7,6] => [3,1,2,4,5,7,6] => [3,1,2,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[3,1,2,4,6,5,7] => [3,1,2,4,6,5,7] => [3,1,2,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[3,1,2,4,6,7,5] => [3,1,2,4,7,6,5] => [3,1,2,4,6,7,5] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[3,1,2,4,7,5,6] => [3,1,2,4,7,5,6] => [3,1,2,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[3,1,2,4,7,6,5] => [3,1,2,4,6,7,5] => [3,1,2,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[3,1,2,5,4,6,7] => [3,1,2,5,4,6,7] => [3,1,2,5,4,6,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[3,1,2,5,4,7,6] => [3,1,2,5,4,7,6] => [3,1,2,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[3,1,2,5,6,4,7] => [3,1,2,6,5,4,7] => [3,1,2,5,6,4,7] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[3,1,2,5,6,7,4] => [3,1,2,7,5,6,4] => [3,1,2,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[3,1,2,5,7,4,6] => [3,1,2,7,5,4,6] => [3,1,2,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[3,1,2,5,7,6,4] => [3,1,2,6,5,7,4] => [3,1,2,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[3,1,2,6,4,5,7] => [3,1,2,6,4,5,7] => [3,1,2,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[3,1,2,6,4,7,5] => [3,1,2,6,7,4,5] => [3,1,2,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,1,2,6,5,4,7] => [3,1,2,5,6,4,7] => [3,1,2,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[3,1,2,6,5,7,4] => [3,1,2,7,6,5,4] => [3,1,2,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[3,1,2,6,7,4,5] => [3,1,2,7,4,6,5] => [3,1,2,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[3,1,2,6,7,5,4] => [3,1,2,5,7,6,4] => [3,1,2,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[3,1,2,7,4,5,6] => [3,1,2,7,4,5,6] => [3,1,2,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,1,2,7,4,6,5] => [3,1,2,7,6,4,5] => [3,1,2,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[3,1,2,7,5,4,6] => [3,1,2,5,7,4,6] => [3,1,2,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,1,2,7,5,6,4] => [3,1,2,6,7,5,4] => [3,1,2,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,1,2,7,6,4,5] => [3,1,2,6,4,7,5] => [3,1,2,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,1,2,7,6,5,4] => [3,1,2,5,6,7,4] => [3,1,2,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [4,3,2,1,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[3,1,4,2,5,7,6] => [3,4,1,2,5,7,6] => [4,3,2,1,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[3,1,4,2,6,5,7] => [3,4,1,2,6,5,7] => [4,3,2,1,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[3,1,4,2,6,7,5] => [3,4,1,2,7,6,5] => [4,3,2,1,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[3,1,4,2,7,5,6] => [3,4,1,2,7,5,6] => [4,3,2,1,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[3,1,4,2,7,6,5] => [3,4,1,2,6,7,5] => [4,3,2,1,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[3,1,4,5,2,6,7] => [3,5,1,4,2,6,7] => [4,3,2,5,1,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[3,1,4,5,2,7,6] => [3,5,1,4,2,7,6] => [4,3,2,5,1,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[3,1,4,5,6,2,7] => [3,6,1,4,5,2,7] => [4,3,2,5,6,1,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[3,1,4,5,6,7,2] => [3,7,1,4,5,6,2] => [4,3,2,5,6,7,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[3,1,4,5,7,2,6] => [3,7,1,4,5,2,6] => [4,3,2,5,7,1,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[3,1,4,5,7,6,2] => [3,6,1,4,5,7,2] => [4,3,2,5,7,6,1] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[3,1,4,6,2,5,7] => [3,6,1,4,2,5,7] => [4,3,2,6,1,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[3,1,4,6,2,7,5] => [3,6,1,4,7,2,5] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[3,1,4,6,5,2,7] => [3,5,1,4,6,2,7] => [4,3,2,6,5,1,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[3,1,4,6,5,7,2] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[3,1,4,6,7,2,5] => [3,7,1,4,2,6,5] => [4,3,2,6,1,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[3,1,4,6,7,5,2] => [3,5,1,4,7,6,2] => [4,3,2,6,5,7,1] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[3,1,4,7,2,5,6] => [3,7,1,4,2,5,6] => [4,3,2,7,1,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[3,1,4,7,2,6,5] => [3,7,1,4,6,2,5] => [4,3,2,6,7,5,1] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[3,1,4,7,5,2,6] => [3,5,1,4,7,2,6] => [4,3,2,7,5,1,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[3,1,4,7,5,6,2] => [3,6,1,4,7,5,2] => [4,3,2,7,6,1,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[3,1,4,7,6,2,5] => [3,6,1,4,2,7,5] => [4,3,2,7,1,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[3,1,4,7,6,5,2] => [3,5,1,4,6,7,2] => [4,3,2,7,5,6,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[3,1,5,2,4,6,7] => [3,5,1,2,4,6,7] => [5,3,2,1,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[3,1,5,2,4,7,6] => [3,5,1,2,4,7,6] => [5,3,2,1,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[3,1,5,2,6,4,7] => [3,5,1,6,2,4,7] => [6,3,2,5,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,1,5,2,6,7,4] => [3,5,1,7,2,6,4] => [6,3,2,5,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,5,2,7,4,6] => [3,5,1,7,2,4,6] => [7,3,2,5,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,2,7,6,4] => [3,5,1,6,2,7,4] => [7,3,2,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,4,2,6,7] => [3,4,1,5,2,6,7] => [5,3,2,4,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[3,1,5,4,2,7,6] => [3,4,1,5,2,7,6] => [5,3,2,4,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[3,1,5,4,6,2,7] => [3,6,1,5,4,2,7] => [5,3,2,6,1,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[3,1,5,4,6,7,2] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[3,1,5,4,7,2,6] => [3,7,1,5,4,2,6] => [5,3,2,7,1,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,1,5,4,7,6,2] => [3,6,1,5,4,7,2] => [5,3,2,7,1,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,1,5,6,2,4,7] => [3,6,1,2,5,4,7] => [5,3,2,1,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[3,1,5,6,2,7,4] => [3,6,1,7,5,2,4] => [6,3,2,5,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,1,5,6,4,2,7] => [3,4,1,6,5,2,7] => [5,3,2,4,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[3,1,5,6,4,7,2] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[3,1,5,6,7,2,4] => [3,7,1,2,5,6,4] => [5,3,2,1,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[3,1,5,6,7,4,2] => [3,4,1,7,5,6,2] => [5,3,2,4,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[3,1,5,7,2,4,6] => [3,7,1,2,5,4,6] => [5,3,2,1,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[3,1,5,7,2,6,4] => [3,7,1,6,5,2,4] => [5,3,2,6,7,4,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[3,1,5,7,4,2,6] => [3,4,1,7,5,2,6] => [5,3,2,4,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[3,1,5,7,4,6,2] => [3,6,1,7,5,4,2] => [6,3,2,5,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,1,5,7,6,2,4] => [3,6,1,2,5,7,4] => [5,3,2,1,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[3,1,5,7,6,4,2] => [3,4,1,6,5,7,2] => [5,3,2,4,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[3,1,6,2,4,5,7] => [3,6,1,2,4,5,7] => [6,3,2,1,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,1,6,2,4,7,5] => [3,6,1,2,7,4,5] => [7,3,2,1,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,5,4,7] => [3,6,1,5,2,4,7] => [5,3,2,6,4,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[3,1,6,2,5,7,4] => [3,6,1,7,2,5,4] => [7,3,2,6,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,7,4,5] => [3,6,1,7,4,2,5] => [7,3,2,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,7,5,4] => [3,6,1,5,7,2,4] => [6,3,2,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,1,6,4,2,5,7] => [3,4,1,6,2,5,7] => [6,3,2,4,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,1,6,4,2,7,5] => [3,4,1,6,7,2,5] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,4,5,2,7] => [3,5,1,6,4,2,7] => [6,3,2,5,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,1,6,4,5,7,2] => [3,7,1,6,4,5,2] => [6,3,2,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,1,6,4,7,2,5] => [3,7,1,6,2,4,5] => [6,3,2,7,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,1,6,4,7,5,2] => [3,5,1,7,6,2,4] => [7,3,2,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,5,2,4,7] => [3,5,1,2,6,4,7] => [6,3,2,1,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,1,6,5,2,7,4] => [3,5,1,6,7,4,2] => [7,3,2,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,5,4,2,7] => [3,4,1,5,6,2,7] => [6,3,2,4,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,1,6,5,4,7,2] => [3,7,1,5,6,4,2] => [5,3,2,7,6,1,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,1,6,5,7,2,4] => [3,7,1,2,6,5,4] => [6,3,2,1,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,1,6,5,7,4,2] => [3,4,1,7,6,5,2] => [6,3,2,4,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,1,6,7,2,4,5] => [3,7,1,2,4,6,5] => [6,3,2,1,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,6,7,2,5,4] => [3,7,1,5,2,6,4] => [5,3,2,6,4,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[3,1,6,7,4,2,5] => [3,4,1,7,2,6,5] => [6,3,2,4,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,6,7,4,5,2] => [3,5,1,7,4,6,2] => [6,3,2,5,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,6,7,5,2,4] => [3,5,1,2,7,6,4] => [6,3,2,1,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,6,7,5,4,2] => [3,4,1,5,7,6,2] => [6,3,2,4,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,7,2,4,5,6] => [3,7,1,2,4,5,6] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,2,4,6,5] => [3,7,1,2,6,4,5] => [6,3,2,1,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,1,7,2,5,4,6] => [3,7,1,5,2,4,6] => [5,3,2,7,4,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,1,7,2,5,6,4] => [3,7,1,6,2,5,4] => [6,3,2,7,4,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,1,7,2,6,4,5] => [3,7,1,6,4,2,5] => [6,3,2,7,1,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,1,7,2,6,5,4] => [3,7,1,5,6,2,4] => [5,3,2,7,6,4,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,1,7,4,2,5,6] => [3,4,1,7,2,5,6] => [7,3,2,4,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,2,6,5] => [3,4,1,7,6,2,5] => [6,3,2,4,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,1,7,4,5,2,6] => [3,5,1,7,4,2,6] => [7,3,2,5,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,5,6,2] => [3,6,1,7,4,5,2] => [7,3,2,6,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,6,2,5] => [3,6,1,7,2,4,5] => [7,3,2,6,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,6,5,2] => [3,5,1,6,7,2,4] => [7,3,2,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,2,4,6] => [3,5,1,2,7,4,6] => [7,3,2,1,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,2,6,4] => [3,5,1,7,6,4,2] => [7,3,2,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,4,2,6] => [3,4,1,5,7,2,6] => [7,3,2,4,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,4,6,2] => [3,6,1,5,7,4,2] => [6,3,2,7,5,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,1,7,5,6,2,4] => [3,6,1,2,7,5,4] => [7,3,2,1,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,6,4,2] => [3,4,1,6,7,5,2] => [7,3,2,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,2,4,5] => [3,6,1,2,4,7,5] => [7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,2,5,4] => [3,6,1,5,2,7,4] => [5,3,2,7,4,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,1,7,6,4,2,5] => [3,4,1,6,2,7,5] => [7,3,2,4,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,4,5,2] => [3,5,1,6,4,7,2] => [7,3,2,5,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,5,2,4] => [3,5,1,2,6,7,4] => [7,3,2,1,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,5,4,2] => [3,4,1,5,6,7,2] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[3,2,1,4,6,7,5] => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[3,2,1,4,7,5,6] => [2,3,1,4,7,5,6] => [3,2,1,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[3,2,1,5,6,4,7] => [2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[3,2,1,5,6,7,4] => [2,3,1,7,5,6,4] => [3,2,1,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[3,2,1,5,7,4,6] => [2,3,1,7,5,4,6] => [3,2,1,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[3,2,1,5,7,6,4] => [2,3,1,6,5,7,4] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[3,2,1,6,4,5,7] => [2,3,1,6,4,5,7] => [3,2,1,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[3,2,1,6,4,7,5] => [2,3,1,6,7,4,5] => [3,2,1,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[3,2,1,6,5,7,4] => [2,3,1,7,6,5,4] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[3,2,1,6,7,4,5] => [2,3,1,7,4,6,5] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[3,2,1,6,7,5,4] => [2,3,1,5,7,6,4] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[3,2,1,7,4,5,6] => [2,3,1,7,4,5,6] => [3,2,1,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,1,7,4,6,5] => [2,3,1,7,6,4,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[3,2,1,7,5,4,6] => [2,3,1,5,7,4,6] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,1,7,5,6,4] => [2,3,1,6,7,5,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,1,7,6,4,5] => [2,3,1,6,4,7,5] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,1,7,6,5,4] => [2,3,1,5,6,7,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,4,1,5,6,7] => [4,3,2,1,5,6,7] => [3,4,1,2,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[3,2,4,1,5,7,6] => [4,3,2,1,5,7,6] => [3,4,1,2,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[3,2,4,1,6,5,7] => [4,3,2,1,6,5,7] => [3,4,1,2,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[3,2,4,1,6,7,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[3,2,4,1,7,5,6] => [4,3,2,1,7,5,6] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[3,2,4,1,7,6,5] => [4,3,2,1,6,7,5] => [3,4,1,2,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[3,2,4,5,1,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[3,2,4,5,1,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[3,2,4,5,6,1,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[3,2,4,5,6,7,1] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[3,2,4,5,7,1,6] => [7,3,2,4,5,1,6] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[3,2,4,5,7,6,1] => [6,3,2,4,5,7,1] => [3,4,1,5,7,6,2] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[3,2,4,6,1,5,7] => [6,3,2,4,1,5,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[3,2,4,6,1,7,5] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[3,2,4,6,5,1,7] => [5,3,2,4,6,1,7] => [3,4,1,6,5,2,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[3,2,4,6,5,7,1] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[3,2,4,6,7,1,5] => [7,3,2,4,1,6,5] => [3,4,1,6,2,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[3,2,4,6,7,5,1] => [5,3,2,4,7,6,1] => [3,4,1,6,5,7,2] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[3,2,4,7,1,5,6] => [7,3,2,4,1,5,6] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[3,2,4,7,1,6,5] => [7,3,2,4,6,1,5] => [3,4,1,6,7,5,2] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[3,2,4,7,5,1,6] => [5,3,2,4,7,1,6] => [3,4,1,7,5,2,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[3,2,4,7,5,6,1] => [6,3,2,4,7,5,1] => [3,4,1,7,6,2,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[3,2,4,7,6,1,5] => [6,3,2,4,1,7,5] => [3,4,1,7,2,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[3,2,4,7,6,5,1] => [5,3,2,4,6,7,1] => [3,4,1,7,5,6,2] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[3,2,5,1,4,6,7] => [5,3,2,1,4,6,7] => [3,5,1,2,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[3,2,5,1,4,7,6] => [5,3,2,1,4,7,6] => [3,5,1,2,4,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[3,2,5,1,6,4,7] => [5,3,2,6,1,4,7] => [3,6,1,5,4,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[3,2,5,1,6,7,4] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[3,2,5,1,7,4,6] => [5,3,2,7,1,4,6] => [3,7,1,5,4,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,5,1,7,6,4] => [5,3,2,6,1,7,4] => [3,7,1,5,4,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,5,4,1,6,7] => [4,3,2,5,1,6,7] => [3,5,1,4,2,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[3,2,5,4,1,7,6] => [4,3,2,5,1,7,6] => [3,5,1,4,2,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[3,2,5,4,6,1,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[3,2,5,4,6,7,1] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[3,2,5,4,7,1,6] => [7,3,2,5,4,1,6] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[3,2,5,4,7,6,1] => [6,3,2,5,4,7,1] => [3,5,1,7,2,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[3,2,5,6,1,4,7] => [6,3,2,1,5,4,7] => [3,5,1,2,6,4,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[3,2,5,6,1,7,4] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[3,2,5,6,4,1,7] => [4,3,2,6,5,1,7] => [3,5,1,4,6,2,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[3,2,5,6,4,7,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[3,2,5,6,7,1,4] => [7,3,2,1,5,6,4] => [3,5,1,2,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[3,2,5,6,7,4,1] => [4,3,2,7,5,6,1] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[3,2,5,7,1,4,6] => [7,3,2,1,5,4,6] => [3,5,1,2,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[3,2,5,7,1,6,4] => [7,3,2,6,5,1,4] => [3,5,1,6,7,4,2] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[3,2,5,7,4,1,6] => [4,3,2,7,5,1,6] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[3,2,5,7,4,6,1] => [6,3,2,7,5,4,1] => [3,6,1,5,7,2,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[3,2,5,7,6,1,4] => [6,3,2,1,5,7,4] => [3,5,1,2,7,6,4] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[3,2,5,7,6,4,1] => [4,3,2,6,5,7,1] => [3,5,1,4,7,6,2] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[3,2,6,1,4,5,7] => [6,3,2,1,4,5,7] => [3,6,1,2,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[3,2,6,1,4,7,5] => [6,3,2,1,7,4,5] => [3,7,1,2,6,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,6,1,5,4,7] => [6,3,2,5,1,4,7] => [3,5,1,6,4,2,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[3,2,6,1,5,7,4] => [6,3,2,7,1,5,4] => [3,7,1,6,4,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,6,1,7,4,5] => [6,3,2,7,4,1,5] => [3,7,1,6,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,6,1,7,5,4] => [6,3,2,5,7,1,4] => [3,6,1,7,5,4,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[3,2,6,4,1,5,7] => [4,3,2,6,1,5,7] => [3,6,1,4,2,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[3,2,6,4,1,7,5] => [4,3,2,6,7,1,5] => [3,7,1,4,6,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,6,4,5,1,7] => [5,3,2,6,4,1,7] => [3,6,1,5,2,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[3,2,6,4,5,7,1] => [7,3,2,6,4,5,1] => [3,6,1,7,2,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[3,2,6,4,7,1,5] => [7,3,2,6,1,4,5] => [3,6,1,7,4,5,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[3,2,6,4,7,5,1] => [5,3,2,7,6,1,4] => [3,7,1,5,6,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,6,5,1,4,7] => [5,3,2,1,6,4,7] => [3,6,1,2,5,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[3,2,6,5,1,7,4] => [5,3,2,6,7,4,1] => [3,7,1,6,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,6,5,4,1,7] => [4,3,2,5,6,1,7] => [3,6,1,4,5,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[3,2,6,5,4,7,1] => [7,3,2,5,6,4,1] => [3,5,1,7,6,2,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[3,2,6,5,7,1,4] => [7,3,2,1,6,5,4] => [3,6,1,2,7,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[3,2,6,5,7,4,1] => [4,3,2,7,6,5,1] => [3,6,1,4,7,2,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[3,2,6,7,1,4,5] => [7,3,2,1,4,6,5] => [3,6,1,2,4,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[3,2,6,7,1,5,4] => [7,3,2,5,1,6,4] => [3,5,1,6,4,7,2] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[3,2,6,7,4,1,5] => [4,3,2,7,1,6,5] => [3,6,1,4,2,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[3,2,6,7,4,5,1] => [5,3,2,7,4,6,1] => [3,6,1,5,2,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[3,2,6,7,5,1,4] => [5,3,2,1,7,6,4] => [3,6,1,2,5,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[3,2,6,7,5,4,1] => [4,3,2,5,7,6,1] => [3,6,1,4,5,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[3,2,7,1,4,5,6] => [7,3,2,1,4,5,6] => [3,7,1,2,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,1,4,6,5] => [7,3,2,1,6,4,5] => [3,6,1,2,7,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[3,2,7,1,5,4,6] => [7,3,2,5,1,4,6] => [3,5,1,7,4,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[3,2,7,1,5,6,4] => [7,3,2,6,1,5,4] => [3,6,1,7,4,2,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[3,2,7,1,6,4,5] => [7,3,2,6,4,1,5] => [3,6,1,7,2,5,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[3,2,7,1,6,5,4] => [7,3,2,5,6,1,4] => [3,5,1,7,6,4,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[3,2,7,4,1,5,6] => [4,3,2,7,1,5,6] => [3,7,1,4,2,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,4,1,6,5] => [4,3,2,7,6,1,5] => [3,6,1,4,7,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[3,2,7,4,5,1,6] => [5,3,2,7,4,1,6] => [3,7,1,5,2,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,4,5,6,1] => [6,3,2,7,4,5,1] => [3,7,1,6,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,4,6,1,5] => [6,3,2,7,1,4,5] => [3,7,1,6,4,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,4,6,5,1] => [5,3,2,6,7,1,4] => [3,7,1,6,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,5,1,4,6] => [5,3,2,1,7,4,6] => [3,7,1,2,5,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,5,1,6,4] => [5,3,2,7,6,4,1] => [3,7,1,5,6,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,5,4,1,6] => [4,3,2,5,7,1,6] => [3,7,1,4,5,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,5,4,6,1] => [6,3,2,5,7,4,1] => [3,6,1,7,5,2,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[3,2,7,5,6,1,4] => [6,3,2,1,7,5,4] => [3,7,1,2,6,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,5,6,4,1] => [4,3,2,6,7,5,1] => [3,7,1,4,6,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,6,1,4,5] => [6,3,2,1,4,7,5] => [3,7,1,2,4,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,6,1,5,4] => [6,3,2,5,1,7,4] => [3,5,1,7,4,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[3,2,7,6,4,1,5] => [4,3,2,6,1,7,5] => [3,7,1,4,2,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,6,4,5,1] => [5,3,2,6,4,7,1] => [3,7,1,5,2,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,6,5,1,4] => [5,3,2,1,6,7,4] => [3,7,1,2,5,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,6,5,4,1] => [4,3,2,5,6,7,1] => [3,7,1,4,5,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => [3,1,4,2,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[3,4,1,2,5,7,6] => [4,1,3,2,5,7,6] => [3,1,4,2,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[3,4,1,2,6,5,7] => [4,1,3,2,6,5,7] => [3,1,4,2,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[3,4,1,2,6,7,5] => [4,1,3,2,7,6,5] => [3,1,4,2,6,7,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[3,4,1,2,7,5,6] => [4,1,3,2,7,5,6] => [3,1,4,2,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[3,4,1,2,7,6,5] => [4,1,3,2,6,7,5] => [3,1,4,2,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[3,4,1,5,2,6,7] => [4,5,3,1,2,6,7] => [4,3,5,2,1,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[3,4,1,5,2,7,6] => [4,5,3,1,2,7,6] => [4,3,5,2,1,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[3,4,1,5,6,2,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[3,4,1,5,6,7,2] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[3,4,1,5,7,2,6] => [4,7,3,1,5,2,6] => [4,3,5,2,7,1,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[3,4,1,5,7,6,2] => [4,6,3,1,5,7,2] => [4,3,5,2,7,6,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[3,4,1,6,2,5,7] => [4,6,3,1,2,5,7] => [4,3,6,2,1,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[3,4,1,6,2,7,5] => [4,6,3,1,7,2,5] => [4,3,7,2,6,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,4,1,6,5,2,7] => [4,5,3,1,6,2,7] => [4,3,6,2,5,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[3,4,1,6,5,7,2] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[3,4,1,6,7,2,5] => [4,7,3,1,2,6,5] => [4,3,6,2,1,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[3,4,1,6,7,5,2] => [4,5,3,1,7,6,2] => [4,3,6,2,5,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[3,4,1,7,2,5,6] => [4,7,3,1,2,5,6] => [4,3,7,2,1,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,4,1,7,2,6,5] => [4,7,3,1,6,2,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[3,4,1,7,5,2,6] => [4,5,3,1,7,2,6] => [4,3,7,2,5,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,4,1,7,5,6,2] => [4,6,3,1,7,5,2] => [4,3,7,2,6,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,4,1,7,6,2,5] => [4,6,3,1,2,7,5] => [4,3,7,2,1,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,4,1,7,6,5,2] => [4,5,3,1,6,7,2] => [4,3,7,2,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,4,2,1,5,6,7] => [2,4,3,1,5,6,7] => [3,2,4,1,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[3,4,2,1,5,7,6] => [2,4,3,1,5,7,6] => [3,2,4,1,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[3,4,2,1,6,5,7] => [2,4,3,1,6,5,7] => [3,2,4,1,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[3,4,2,1,6,7,5] => [2,4,3,1,7,6,5] => [3,2,4,1,6,7,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[3,4,2,1,7,5,6] => [2,4,3,1,7,5,6] => [3,2,4,1,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[3,4,2,1,7,6,5] => [2,4,3,1,6,7,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[3,4,2,5,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[3,4,2,5,7,1,6] => [7,4,3,2,5,1,6] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[3,4,2,5,7,6,1] => [6,4,3,2,5,7,1] => [3,4,5,1,7,6,2] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[3,4,2,6,1,5,7] => [6,4,3,2,1,5,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[3,4,2,6,1,7,5] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,4,2,6,5,1,7] => [5,4,3,2,6,1,7] => [3,4,6,1,5,2,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[3,4,2,6,5,7,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[3,4,2,6,7,1,5] => [7,4,3,2,1,6,5] => [3,4,6,1,2,7,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[3,4,2,6,7,5,1] => [5,4,3,2,7,6,1] => [3,4,6,1,5,7,2] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[3,4,2,7,1,5,6] => [7,4,3,2,1,5,6] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,4,2,7,1,6,5] => [7,4,3,2,6,1,5] => [3,4,6,1,7,5,2] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[3,4,2,7,5,1,6] => [5,4,3,2,7,1,6] => [3,4,7,1,5,2,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,4,2,7,5,6,1] => [6,4,3,2,7,5,1] => [3,4,7,1,6,2,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,4,2,7,6,1,5] => [6,4,3,2,1,7,5] => [3,4,7,1,2,6,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,4,2,7,6,5,1] => [5,4,3,2,6,7,1] => [3,4,7,1,5,6,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,4,5,1,2,6,7] => [5,1,3,4,2,6,7] => [3,1,4,5,2,6,7] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[3,4,5,1,2,7,6] => [5,1,3,4,2,7,6] => [3,1,4,5,2,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[3,4,5,1,6,2,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[3,4,5,1,6,7,2] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[3,4,5,1,7,2,6] => [5,7,3,4,1,2,6] => [4,3,5,7,2,1,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[3,4,5,1,7,6,2] => [5,6,3,4,1,7,2] => [4,3,5,7,2,6,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[3,4,5,2,1,6,7] => [2,5,3,4,1,6,7] => [3,2,4,5,1,6,7] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[3,4,5,2,1,7,6] => [2,5,3,4,1,7,6] => [3,2,4,5,1,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[3,4,5,2,6,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[3,4,5,2,6,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[3,4,5,2,7,1,6] => [7,5,3,4,2,1,6] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[3,4,5,2,7,6,1] => [6,5,3,4,2,7,1] => [3,4,5,7,1,6,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[3,4,5,6,1,2,7] => [6,1,3,4,5,2,7] => [3,1,4,5,6,2,7] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[3,4,5,6,1,7,2] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[3,4,5,6,2,1,7] => [2,6,3,4,5,1,7] => [3,2,4,5,6,1,7] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[3,4,5,6,2,7,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[3,4,5,6,7,1,2] => [7,1,3,4,5,6,2] => [3,1,4,5,6,7,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[3,4,5,6,7,2,1] => [2,7,3,4,5,6,1] => [3,2,4,5,6,7,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[3,4,5,7,1,2,6] => [7,1,3,4,5,2,6] => [3,1,4,5,7,2,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[3,4,5,7,1,6,2] => [7,6,3,4,5,1,2] => [3,4,5,6,7,2,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[3,4,5,7,2,1,6] => [2,7,3,4,5,1,6] => [3,2,4,5,7,1,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[3,4,5,7,2,6,1] => [6,7,3,4,5,2,1] => [4,3,5,6,7,1,2] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[3,4,5,7,6,1,2] => [6,1,3,4,5,7,2] => [3,1,4,5,7,6,2] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[3,4,5,7,6,2,1] => [2,6,3,4,5,7,1] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[3,4,6,1,2,5,7] => [6,1,3,4,2,5,7] => [3,1,4,6,2,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[3,4,6,1,2,7,5] => [6,1,3,4,7,2,5] => [3,1,4,7,6,5,2] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,6,1,5,2,7] => [6,5,3,4,1,2,7] => [3,4,5,6,2,1,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[3,4,6,1,5,7,2] => [6,7,3,4,1,5,2] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[3,4,6,1,7,2,5] => [6,7,3,4,2,1,5] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[3,4,6,1,7,5,2] => [6,5,3,4,7,1,2] => [3,4,6,7,5,2,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[3,4,6,2,1,5,7] => [2,6,3,4,1,5,7] => [3,2,4,6,1,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[3,4,6,2,1,7,5] => [2,6,3,4,7,1,5] => [3,2,4,7,6,5,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,6,2,5,1,7] => [5,6,3,4,2,1,7] => [4,3,5,6,1,2,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[3,4,6,2,5,7,1] => [7,6,3,4,2,5,1] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[3,4,6,2,7,1,5] => [7,6,3,4,1,2,5] => [3,4,6,7,2,5,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[3,4,6,2,7,5,1] => [5,7,3,4,6,1,2] => [4,3,5,7,6,2,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[3,4,6,5,1,2,7] => [5,1,3,4,6,2,7] => [3,1,4,6,5,2,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[3,4,6,5,1,7,2] => [5,6,3,4,7,2,1] => [4,3,6,7,5,1,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[3,4,6,5,2,1,7] => [2,5,3,4,6,1,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[3,4,6,5,2,7,1] => [7,5,3,4,6,2,1] => [3,4,5,7,6,1,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[3,4,6,5,7,1,2] => [7,1,3,4,6,5,2] => [3,1,4,6,7,2,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[3,4,6,5,7,2,1] => [2,7,3,4,6,5,1] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[3,4,6,7,1,2,5] => [7,1,3,4,2,6,5] => [3,1,4,6,2,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[3,4,6,7,1,5,2] => [7,5,3,4,1,6,2] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[3,4,6,7,2,1,5] => [2,7,3,4,1,6,5] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[3,4,6,7,2,5,1] => [5,7,3,4,2,6,1] => [4,3,5,6,1,7,2] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[3,4,6,7,5,1,2] => [5,1,3,4,7,6,2] => [3,1,4,6,5,7,2] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[3,4,6,7,5,2,1] => [2,5,3,4,7,6,1] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[3,4,7,1,2,5,6] => [7,1,3,4,2,5,6] => [3,1,4,7,2,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,7,1,2,6,5] => [7,1,3,4,6,2,5] => [3,1,4,6,7,5,2] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[3,4,7,1,5,2,6] => [7,5,3,4,1,2,6] => [3,4,5,7,2,1,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[3,4,7,1,5,6,2] => [7,6,3,4,1,5,2] => [3,4,6,7,2,1,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[3,4,7,1,6,2,5] => [7,6,3,4,2,1,5] => [3,4,6,7,1,5,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[3,4,7,1,6,5,2] => [7,5,3,4,6,1,2] => [3,4,5,7,6,2,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[3,4,7,2,1,5,6] => [2,7,3,4,1,5,6] => [3,2,4,7,1,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,7,2,1,6,5] => [2,7,3,4,6,1,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[3,4,7,2,5,1,6] => [5,7,3,4,2,1,6] => [4,3,5,7,1,2,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[3,4,7,2,5,6,1] => [6,7,3,4,2,5,1] => [4,3,6,7,1,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[3,4,7,2,6,1,5] => [6,7,3,4,1,2,5] => [4,3,6,7,2,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[3,4,7,2,6,5,1] => [5,6,3,4,7,1,2] => [4,3,6,7,5,2,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[3,4,7,5,1,2,6] => [5,1,3,4,7,2,6] => [3,1,4,7,5,2,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,7,5,1,6,2] => [5,7,3,4,6,2,1] => [4,3,5,7,6,1,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[3,4,7,5,2,1,6] => [2,5,3,4,7,1,6] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,7,5,2,6,1] => [6,5,3,4,7,2,1] => [3,4,6,7,5,1,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[3,4,7,5,6,1,2] => [6,1,3,4,7,5,2] => [3,1,4,7,6,2,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,7,5,6,2,1] => [2,6,3,4,7,5,1] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,7,6,1,2,5] => [6,1,3,4,2,7,5] => [3,1,4,7,2,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,7,6,1,5,2] => [6,5,3,4,1,7,2] => [3,4,5,7,2,6,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[3,4,7,6,2,1,5] => [2,6,3,4,1,7,5] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,7,6,2,5,1] => [5,6,3,4,2,7,1] => [4,3,5,7,1,6,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[3,4,7,6,5,1,2] => [5,1,3,4,6,7,2] => [3,1,4,7,5,6,2] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,4,7,6,5,2,1] => [2,5,3,4,6,7,1] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[3,5,1,2,4,6,7] => [5,1,3,2,4,6,7] => [3,1,5,2,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[3,5,1,2,4,7,6] => [5,1,3,2,4,7,6] => [3,1,5,2,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[3,5,1,2,6,4,7] => [5,1,3,6,2,4,7] => [3,1,6,5,4,2,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,5,1,2,6,7,4] => [5,1,3,7,2,6,4] => [3,1,6,5,4,7,2] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,5,1,2,7,4,6] => [5,1,3,7,2,4,6] => [3,1,7,5,4,2,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,5,1,2,7,6,4] => [5,1,3,6,2,7,4] => [3,1,7,5,4,6,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,5,1,4,2,6,7] => [5,4,3,1,2,6,7] => [3,4,5,2,1,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[3,5,1,4,2,7,6] => [5,4,3,1,2,7,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[3,5,1,4,6,2,7] => [5,6,3,1,4,2,7] => [5,3,6,2,1,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[3,5,1,4,6,7,2] => [5,7,3,1,4,6,2] => [5,3,6,2,1,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[3,5,1,4,7,2,6] => [5,7,3,1,4,2,6] => [5,3,7,2,1,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,1,4,7,6,2] => [5,6,3,1,4,7,2] => [5,3,7,2,1,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,1,6,2,4,7] => [5,6,3,2,1,4,7] => [5,3,6,1,4,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[3,5,1,6,2,7,4] => [5,6,3,7,1,2,4] => [6,3,7,5,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,5,1,6,4,2,7] => [5,4,3,6,1,2,7] => [3,5,6,4,2,1,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[3,5,1,6,4,7,2] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,1,6,7,2,4] => [5,7,3,2,1,6,4] => [5,3,6,1,4,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[3,5,1,6,7,4,2] => [5,4,3,7,1,6,2] => [3,5,6,4,2,7,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[3,5,1,7,2,4,6] => [5,7,3,2,1,4,6] => [5,3,7,1,4,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,1,7,2,6,4] => [5,7,3,6,1,2,4] => [5,3,7,6,4,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,1,7,4,2,6] => [5,4,3,7,1,2,6] => [3,5,7,4,2,1,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,1,7,4,6,2] => [5,6,3,7,1,4,2] => [6,3,7,5,4,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,5,1,7,6,2,4] => [5,6,3,2,1,7,4] => [5,3,7,1,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,1,7,6,4,2] => [5,4,3,6,1,7,2] => [3,5,7,4,2,6,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,2,1,4,6,7] => [2,5,3,1,4,6,7] => [3,2,5,1,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[3,5,2,1,4,7,6] => [2,5,3,1,4,7,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[3,5,2,1,6,4,7] => [2,5,3,6,1,4,7] => [3,2,6,5,4,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,5,2,1,6,7,4] => [2,5,3,7,1,6,4] => [3,2,6,5,4,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,5,2,1,7,4,6] => [2,5,3,7,1,4,6] => [3,2,7,5,4,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,5,2,1,7,6,4] => [2,5,3,6,1,7,4] => [3,2,7,5,4,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,5,2,4,1,6,7] => [4,5,3,2,1,6,7] => [4,3,5,1,2,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[3,5,2,4,1,7,6] => [4,5,3,2,1,7,6] => [4,3,5,1,2,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[3,5,2,4,6,1,7] => [6,5,3,2,4,1,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[3,5,2,4,6,7,1] => [7,5,3,2,4,6,1] => [3,5,6,1,2,7,4] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[3,5,2,4,7,1,6] => [7,5,3,2,4,1,6] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,2,4,7,6,1] => [6,5,3,2,4,7,1] => [3,5,7,1,2,6,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,2,6,1,4,7] => [6,5,3,1,2,4,7] => [3,5,6,2,4,1,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[3,5,2,6,1,7,4] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,5,2,6,4,1,7] => [4,6,3,5,1,2,7] => [4,3,6,5,2,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[3,5,2,6,4,7,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,2,6,7,1,4] => [7,5,3,1,2,6,4] => [3,5,6,2,4,7,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[3,5,2,6,7,4,1] => [4,7,3,5,1,6,2] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[3,5,2,7,1,4,6] => [7,5,3,1,2,4,6] => [3,5,7,2,4,1,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,2,7,1,6,4] => [7,5,3,6,2,1,4] => [3,5,7,6,2,4,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,2,7,4,1,6] => [4,7,3,5,1,2,6] => [4,3,7,5,2,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,5,2,7,4,6,1] => [6,5,3,7,2,4,1] => [3,6,7,5,2,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,5,2,7,6,1,4] => [6,5,3,1,2,7,4] => [3,5,7,2,4,6,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,2,7,6,4,1] => [4,6,3,5,1,7,2] => [4,3,7,5,2,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,5,4,1,2,6,7] => [4,1,3,5,2,6,7] => [3,1,5,4,2,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[3,5,4,1,2,7,6] => [4,1,3,5,2,7,6] => [3,1,5,4,2,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[3,5,4,1,6,2,7] => [4,5,3,6,2,1,7] => [5,3,6,4,1,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[3,5,4,1,6,7,2] => [4,5,3,7,2,6,1] => [5,3,6,4,1,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[3,5,4,1,7,2,6] => [4,5,3,7,2,1,6] => [5,3,7,4,1,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,4,1,7,6,2] => [4,5,3,6,2,7,1] => [5,3,7,4,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,4,2,1,6,7] => [2,4,3,5,1,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[3,5,4,2,1,7,6] => [2,4,3,5,1,7,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[3,5,4,2,6,1,7] => [6,4,3,5,2,1,7] => [3,4,6,5,1,2,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[3,5,4,2,6,7,1] => [7,4,3,5,2,6,1] => [3,4,6,5,1,7,2] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[3,5,4,2,7,1,6] => [7,4,3,5,2,1,6] => [3,4,7,5,1,2,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,5,4,2,7,6,1] => [6,4,3,5,2,7,1] => [3,4,7,5,1,6,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,5,4,6,1,2,7] => [6,1,3,5,4,2,7] => [3,1,5,6,2,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[3,5,4,6,1,7,2] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,5,4,6,2,1,7] => [2,6,3,5,4,1,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[3,5,4,6,2,7,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[3,5,4,6,7,1,2] => [7,1,3,5,4,6,2] => [3,1,5,6,2,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[3,5,4,6,7,2,1] => [2,7,3,5,4,6,1] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[3,5,4,7,1,2,6] => [7,1,3,5,4,2,6] => [3,1,5,7,2,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,5,4,7,1,6,2] => [7,6,3,5,4,1,2] => [3,5,6,7,1,4,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[3,5,4,7,2,1,6] => [2,7,3,5,4,1,6] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,5,4,7,2,6,1] => [6,7,3,5,4,2,1] => [5,3,6,7,1,2,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,5,4,7,6,1,2] => [6,1,3,5,4,7,2] => [3,1,5,7,2,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,5,4,7,6,2,1] => [2,6,3,5,4,7,1] => [3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,5,6,1,2,4,7] => [6,1,3,2,5,4,7] => [3,1,5,2,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[3,5,6,1,2,7,4] => [6,1,3,7,5,2,4] => [3,1,6,5,7,4,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,5,6,1,4,2,7] => [6,4,3,1,5,2,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[3,5,6,1,4,7,2] => [6,7,3,1,5,4,2] => [5,3,6,2,7,1,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[3,5,6,1,7,2,4] => [6,7,3,2,5,1,4] => [5,3,6,1,7,4,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[3,5,6,1,7,4,2] => [6,4,3,7,5,1,2] => [3,5,6,4,7,2,1] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[3,5,6,2,1,4,7] => [2,6,3,1,5,4,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[3,5,6,2,1,7,4] => [2,6,3,7,5,1,4] => [3,2,6,5,7,4,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,5,6,2,4,1,7] => [4,6,3,2,5,1,7] => [4,3,5,1,6,2,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[3,5,6,2,4,7,1] => [7,6,3,2,5,4,1] => [3,5,6,1,7,2,4] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[3,5,6,2,7,1,4] => [7,6,3,1,5,2,4] => [3,5,6,2,7,4,1] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[3,5,6,2,7,4,1] => [4,7,3,6,5,1,2] => [4,3,6,5,7,2,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[3,5,6,4,1,2,7] => [4,1,3,6,5,2,7] => [3,1,5,4,6,2,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[3,5,6,4,1,7,2] => [4,6,3,7,5,2,1] => [5,3,6,4,7,1,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[3,5,6,4,2,1,7] => [2,4,3,6,5,1,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[3,5,6,4,2,7,1] => [7,4,3,6,5,2,1] => [3,4,6,5,7,1,2] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[3,5,6,4,7,1,2] => [7,1,3,6,5,4,2] => [3,1,5,6,7,2,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[3,5,6,4,7,2,1] => [2,7,3,6,5,4,1] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[3,5,6,7,1,2,4] => [7,1,3,2,5,6,4] => [3,1,5,2,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[3,5,6,7,1,4,2] => [7,4,3,1,5,6,2] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[3,5,6,7,2,1,4] => [2,7,3,1,5,6,4] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[3,5,6,7,2,4,1] => [4,7,3,2,5,6,1] => [4,3,5,1,6,7,2] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[3,5,6,7,4,1,2] => [4,1,3,7,5,6,2] => [3,1,5,4,6,7,2] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[3,5,6,7,4,2,1] => [2,4,3,7,5,6,1] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[3,5,7,1,2,4,6] => [7,1,3,2,5,4,6] => [3,1,5,2,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[3,5,7,1,2,6,4] => [7,1,3,6,5,2,4] => [3,1,5,6,7,4,2] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[3,5,7,1,4,2,6] => [7,4,3,1,5,2,6] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[3,5,7,1,4,6,2] => [7,6,3,1,5,4,2] => [3,5,6,2,7,1,4] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[3,5,7,1,6,2,4] => [7,6,3,2,5,1,4] => [3,5,6,1,7,4,2] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[3,5,7,1,6,4,2] => [7,4,3,6,5,1,2] => [3,4,6,5,7,2,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[3,5,7,2,1,4,6] => [2,7,3,1,5,4,6] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[3,5,7,2,1,6,4] => [2,7,3,6,5,1,4] => [3,2,5,6,7,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[3,5,7,2,4,1,6] => [4,7,3,2,5,1,6] => [4,3,5,1,7,2,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[3,5,7,2,4,6,1] => [6,7,3,2,5,4,1] => [5,3,6,1,7,2,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[3,5,7,2,6,1,4] => [6,7,3,1,5,2,4] => [5,3,6,2,7,4,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[3,5,7,2,6,4,1] => [4,6,3,7,5,1,2] => [5,3,6,4,7,2,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[3,5,7,4,1,2,6] => [4,1,3,7,5,2,6] => [3,1,5,4,7,2,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[3,5,7,4,1,6,2] => [4,7,3,6,5,2,1] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[3,5,7,4,2,1,6] => [2,4,3,7,5,1,6] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[3,5,7,4,2,6,1] => [6,4,3,7,5,2,1] => [3,5,6,4,7,1,2] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[3,5,7,4,6,1,2] => [6,1,3,7,5,4,2] => [3,1,6,5,7,2,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,5,7,4,6,2,1] => [2,6,3,7,5,4,1] => [3,2,6,5,7,1,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,5,7,6,1,2,4] => [6,1,3,2,5,7,4] => [3,1,5,2,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[3,5,7,6,1,4,2] => [6,4,3,1,5,7,2] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[3,5,7,6,2,1,4] => [2,6,3,1,5,7,4] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[3,5,7,6,2,4,1] => [4,6,3,2,5,7,1] => [4,3,5,1,7,6,2] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[3,5,7,6,4,1,2] => [4,1,3,6,5,7,2] => [3,1,5,4,7,6,2] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[3,5,7,6,4,2,1] => [2,4,3,6,5,7,1] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[3,6,1,2,4,5,7] => [6,1,3,2,4,5,7] => [3,1,6,2,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,1,2,4,7,5] => [6,1,3,2,7,4,5] => [3,1,7,2,6,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,1,2,5,4,7] => [6,1,3,5,2,4,7] => [3,1,5,6,4,2,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[3,6,1,2,5,7,4] => [6,1,3,7,2,5,4] => [3,1,7,6,4,2,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,1,2,7,4,5] => [6,1,3,7,4,2,5] => [3,1,7,6,2,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,1,2,7,5,4] => [6,1,3,5,7,2,4] => [3,1,6,7,5,4,2] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,6,1,4,2,5,7] => [6,4,3,1,2,5,7] => [3,4,6,2,1,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[3,6,1,4,2,7,5] => [6,4,3,1,7,2,5] => [3,4,7,2,6,5,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,6,1,4,5,2,7] => [6,5,3,1,4,2,7] => [3,5,6,2,1,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[3,6,1,4,5,7,2] => [6,7,3,1,4,5,2] => [6,3,7,2,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,1,4,7,2,5] => [6,7,3,1,2,4,5] => [6,3,7,2,4,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,1,4,7,5,2] => [6,5,3,1,7,4,2] => [3,6,7,2,5,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,1,5,2,4,7] => [6,5,3,2,1,4,7] => [3,5,6,1,4,2,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[3,6,1,5,2,7,4] => [6,5,3,7,1,2,4] => [3,6,7,5,4,2,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,1,5,4,2,7] => [6,4,3,5,1,2,7] => [3,4,6,5,2,1,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[3,6,1,5,4,7,2] => [6,7,3,5,1,4,2] => [5,3,6,7,4,1,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,6,1,5,7,2,4] => [6,7,3,2,1,5,4] => [6,3,7,1,4,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,1,5,7,4,2] => [6,4,3,7,1,5,2] => [3,6,7,4,2,1,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,1,7,2,4,5] => [6,7,3,2,4,1,5] => [6,3,7,1,2,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,1,7,2,5,4] => [6,7,3,5,2,1,4] => [5,3,6,7,2,4,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,6,1,7,4,2,5] => [6,4,3,7,2,1,5] => [3,6,7,4,1,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,1,7,4,5,2] => [6,5,3,7,4,1,2] => [3,6,7,5,1,4,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,1,7,5,2,4] => [6,5,3,2,7,1,4] => [3,6,7,1,5,4,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,1,7,5,4,2] => [6,4,3,5,7,1,2] => [3,4,7,6,5,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,6,2,1,4,5,7] => [2,6,3,1,4,5,7] => [3,2,6,1,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,2,1,4,7,5] => [2,6,3,1,7,4,5] => [3,2,7,1,6,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,2,1,5,4,7] => [2,6,3,5,1,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[3,6,2,1,5,7,4] => [2,6,3,7,1,5,4] => [3,2,7,6,4,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,2,1,7,4,5] => [2,6,3,7,4,1,5] => [3,2,7,6,1,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,2,1,7,5,4] => [2,6,3,5,7,1,4] => [3,2,6,7,5,4,1] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,6,2,4,1,5,7] => [4,6,3,2,1,5,7] => [4,3,6,1,2,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[3,6,2,4,1,7,5] => [4,6,3,2,7,1,5] => [4,3,7,1,6,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,6,2,4,5,1,7] => [5,6,3,2,4,1,7] => [5,3,6,1,2,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[3,6,2,4,5,7,1] => [7,6,3,2,4,5,1] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,2,4,7,1,5] => [7,6,3,2,1,4,5] => [3,6,7,1,4,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,2,4,7,5,1] => [5,7,3,1,6,4,2] => [5,3,7,2,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,6,2,5,1,4,7] => [5,6,3,1,2,4,7] => [5,3,6,2,4,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[3,6,2,5,1,7,4] => [5,6,3,7,2,1,4] => [6,3,7,5,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,2,5,4,1,7] => [4,5,3,6,1,2,7] => [5,3,6,4,2,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[3,6,2,5,4,7,1] => [7,6,3,5,2,4,1] => [3,5,6,7,2,1,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[3,6,2,5,7,1,4] => [7,6,3,1,2,5,4] => [3,6,7,2,4,1,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,2,5,7,4,1] => [4,7,3,6,1,5,2] => [4,3,7,6,2,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,6,2,7,1,4,5] => [7,6,3,1,4,2,5] => [3,6,7,2,1,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,2,7,1,5,4] => [7,6,3,5,1,2,4] => [3,5,6,7,4,2,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[3,6,2,7,4,1,5] => [4,7,3,6,2,1,5] => [4,3,7,6,1,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,6,2,7,4,5,1] => [5,6,3,7,4,2,1] => [6,3,7,5,1,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,2,7,5,1,4] => [5,7,3,2,6,1,4] => [5,3,7,1,6,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,6,2,7,5,4,1] => [4,5,3,7,6,2,1] => [5,3,7,4,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,6,4,1,2,5,7] => [4,1,3,6,2,5,7] => [3,1,6,4,2,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,4,1,2,7,5] => [4,1,3,6,7,2,5] => [3,1,7,4,6,5,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,4,1,5,2,7] => [4,6,3,5,2,1,7] => [4,3,6,5,1,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[3,6,4,1,5,7,2] => [4,6,3,7,2,5,1] => [6,3,7,4,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,4,1,7,2,5] => [4,6,3,7,1,2,5] => [6,3,7,4,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,4,1,7,5,2] => [4,6,3,5,7,2,1] => [4,3,7,6,5,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,6,4,2,1,5,7] => [2,4,3,6,1,5,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,4,2,1,7,5] => [2,4,3,6,7,1,5] => [3,2,7,4,6,5,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,4,2,5,1,7] => [5,4,3,6,2,1,7] => [3,5,6,4,1,2,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[3,6,4,2,5,7,1] => [7,4,3,6,2,5,1] => [3,4,7,6,1,2,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,6,4,2,7,1,5] => [7,4,3,6,1,2,5] => [3,4,7,6,2,5,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,6,4,2,7,5,1] => [5,4,3,7,6,1,2] => [3,5,7,4,6,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,6,4,5,1,2,7] => [5,1,3,6,4,2,7] => [3,1,6,5,2,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,4,5,1,7,2] => [5,7,3,6,4,1,2] => [5,3,7,6,1,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,6,4,5,2,1,7] => [2,5,3,6,4,1,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,4,5,2,7,1] => [7,5,3,6,4,2,1] => [3,5,7,6,1,2,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,6,4,5,7,1,2] => [7,1,3,6,4,5,2] => [3,1,6,7,2,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,6,4,5,7,2,1] => [2,7,3,6,4,5,1] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,6,4,7,1,2,5] => [7,1,3,6,2,4,5] => [3,1,6,7,4,5,2] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,6,4,7,1,5,2] => [7,5,3,6,1,4,2] => [3,5,7,6,4,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,6,4,7,2,1,5] => [2,7,3,6,1,4,5] => [3,2,6,7,4,5,1] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,6,4,7,2,5,1] => [5,7,3,6,2,4,1] => [5,3,7,6,2,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,6,4,7,5,1,2] => [5,1,3,7,6,2,4] => [3,1,7,5,6,4,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,4,7,5,2,1] => [2,5,3,7,6,1,4] => [3,2,7,5,6,4,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,5,1,2,4,7] => [5,1,3,2,6,4,7] => [3,1,6,2,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,5,1,2,7,4] => [5,1,3,6,7,4,2] => [3,1,7,6,5,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,5,1,4,2,7] => [5,4,3,1,6,2,7] => [3,4,6,2,5,1,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[3,6,5,1,4,7,2] => [5,6,3,2,7,4,1] => [6,3,7,1,5,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,5,1,7,2,4] => [5,6,3,1,7,2,4] => [6,3,7,2,5,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,5,1,7,4,2] => [5,4,3,6,7,2,1] => [3,6,7,4,5,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,6,5,2,1,4,7] => [2,5,3,1,6,4,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,5,2,1,7,4] => [2,5,3,6,7,4,1] => [3,2,7,6,5,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,6,5,2,4,1,7] => [4,5,3,2,6,1,7] => [4,3,6,1,5,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[3,6,5,2,4,7,1] => [7,5,3,2,6,4,1] => [3,5,7,1,6,2,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,6,5,2,7,1,4] => [7,5,3,1,6,2,4] => [3,5,7,2,6,4,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,6,5,2,7,4,1] => [4,7,3,5,6,1,2] => [4,3,7,5,6,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,6,5,4,1,2,7] => [4,1,3,5,6,2,7] => [3,1,6,4,5,2,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,5,4,1,7,2] => [4,5,3,6,7,1,2] => [6,3,7,4,5,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,5,4,2,1,7] => [2,4,3,5,6,1,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[3,6,5,4,2,7,1] => [7,4,3,5,6,2,1] => [3,4,7,5,6,1,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,6,5,4,7,1,2] => [7,1,3,5,6,4,2] => [3,1,5,7,6,2,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,6,5,4,7,2,1] => [2,7,3,5,6,4,1] => [3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,6,5,7,1,2,4] => [7,1,3,2,6,5,4] => [3,1,6,2,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,6,5,7,1,4,2] => [7,4,3,1,6,5,2] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[3,6,5,7,2,1,4] => [2,7,3,1,6,5,4] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,6,5,7,2,4,1] => [4,7,3,2,6,5,1] => [4,3,6,1,7,2,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[3,6,5,7,4,1,2] => [4,1,3,7,6,5,2] => [3,1,6,4,7,2,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,6,5,7,4,2,1] => [2,4,3,7,6,5,1] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,6,7,1,2,4,5] => [7,1,3,2,4,6,5] => [3,1,6,2,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,6,7,1,2,5,4] => [7,1,3,5,2,6,4] => [3,1,5,6,4,7,2] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[3,6,7,1,4,2,5] => [7,4,3,1,2,6,5] => [3,4,6,2,1,7,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[3,6,7,1,4,5,2] => [7,5,3,1,4,6,2] => [3,5,6,2,1,7,4] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[3,6,7,1,5,2,4] => [7,5,3,2,1,6,4] => [3,5,6,1,4,7,2] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[3,6,7,1,5,4,2] => [7,4,3,5,1,6,2] => [3,4,6,5,2,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[3,6,7,2,1,4,5] => [2,7,3,1,4,6,5] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,6,7,2,1,5,4] => [2,7,3,5,1,6,4] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[3,6,7,2,4,1,5] => [4,7,3,2,1,6,5] => [4,3,6,1,2,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[3,6,7,2,4,5,1] => [5,7,3,2,4,6,1] => [5,3,6,1,2,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[3,6,7,2,5,1,4] => [5,7,3,1,2,6,4] => [5,3,6,2,4,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[3,6,7,2,5,4,1] => [4,5,3,7,1,6,2] => [5,3,6,4,2,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[3,6,7,4,1,2,5] => [4,1,3,7,2,6,5] => [3,1,6,4,2,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,6,7,4,1,5,2] => [4,7,3,5,2,6,1] => [4,3,6,5,1,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[3,6,7,4,2,1,5] => [2,4,3,7,1,6,5] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,6,7,4,2,5,1] => [5,4,3,7,2,6,1] => [3,5,6,4,1,7,2] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[3,6,7,4,5,1,2] => [5,1,3,7,4,6,2] => [3,1,6,5,2,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,6,7,4,5,2,1] => [2,5,3,7,4,6,1] => [3,2,6,5,1,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,6,7,5,1,2,4] => [5,1,3,2,7,6,4] => [3,1,6,2,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,6,7,5,1,4,2] => [5,4,3,1,7,6,2] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[3,6,7,5,2,1,4] => [2,5,3,1,7,6,4] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,6,7,5,2,4,1] => [4,5,3,2,7,6,1] => [4,3,6,1,5,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[3,6,7,5,4,1,2] => [4,1,3,5,7,6,2] => [3,1,6,4,5,7,2] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,6,7,5,4,2,1] => [2,4,3,5,7,6,1] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[3,7,1,2,4,5,6] => [7,1,3,2,4,5,6] => [3,1,7,2,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,1,2,4,6,5] => [7,1,3,2,6,4,5] => [3,1,6,2,7,5,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,7,1,2,5,4,6] => [7,1,3,5,2,4,6] => [3,1,5,7,4,2,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,7,1,2,5,6,4] => [7,1,3,6,2,5,4] => [3,1,6,7,4,2,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,7,1,2,6,4,5] => [7,1,3,6,4,2,5] => [3,1,6,7,2,5,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,7,1,2,6,5,4] => [7,1,3,5,6,2,4] => [3,1,5,7,6,4,2] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,7,1,4,2,5,6] => [7,4,3,1,2,5,6] => [3,4,7,2,1,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,1,4,2,6,5] => [7,4,3,1,6,2,5] => [3,4,6,2,7,5,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[3,7,1,4,5,2,6] => [7,5,3,1,4,2,6] => [3,5,7,2,1,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,1,4,5,6,2] => [7,6,3,1,4,5,2] => [3,6,7,2,1,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,1,4,6,2,5] => [7,6,3,1,2,4,5] => [3,6,7,2,4,5,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,1,4,6,5,2] => [7,5,3,1,6,4,2] => [3,5,7,2,6,1,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,1,5,2,4,6] => [7,5,3,2,1,4,6] => [3,5,7,1,4,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,1,5,2,6,4] => [7,5,3,6,1,2,4] => [3,5,7,6,4,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,1,5,4,2,6] => [7,4,3,5,1,2,6] => [3,4,7,5,2,1,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,1,5,4,6,2] => [7,6,3,5,1,4,2] => [3,5,6,7,4,1,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[3,7,1,5,6,2,4] => [7,6,3,2,1,5,4] => [3,6,7,1,4,2,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,1,5,6,4,2] => [7,4,3,6,1,5,2] => [3,4,7,6,2,1,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,1,6,2,4,5] => [7,6,3,2,4,1,5] => [3,6,7,1,2,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,1,6,2,5,4] => [7,6,3,5,2,1,4] => [3,5,6,7,2,4,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[3,7,1,6,4,2,5] => [7,4,3,6,2,1,5] => [3,4,7,6,1,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,1,6,4,5,2] => [7,5,3,6,4,1,2] => [3,5,7,6,1,4,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,1,6,5,2,4] => [7,5,3,2,6,1,4] => [3,5,7,1,6,4,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,1,6,5,4,2] => [7,4,3,5,6,1,2] => [3,4,7,5,6,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,2,1,4,5,6] => [2,7,3,1,4,5,6] => [3,2,7,1,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,2,1,4,6,5] => [2,7,3,1,6,4,5] => [3,2,6,1,7,5,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,7,2,1,5,4,6] => [2,7,3,5,1,4,6] => [3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,7,2,1,5,6,4] => [2,7,3,6,1,5,4] => [3,2,6,7,4,1,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,7,2,1,6,4,5] => [2,7,3,6,4,1,5] => [3,2,6,7,1,5,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,7,2,1,6,5,4] => [2,7,3,5,6,1,4] => [3,2,5,7,6,4,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,7,2,4,1,5,6] => [4,7,3,2,1,5,6] => [4,3,7,1,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,2,4,1,6,5] => [4,7,3,2,6,1,5] => [4,3,6,1,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[3,7,2,4,5,1,6] => [5,7,3,2,4,1,6] => [5,3,7,1,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,2,4,5,6,1] => [6,7,3,2,4,5,1] => [6,3,7,1,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,4,6,1,5] => [6,7,3,2,1,4,5] => [6,3,7,1,4,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,4,6,5,1] => [5,6,3,1,7,4,2] => [6,3,7,2,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,5,1,4,6] => [5,7,3,1,2,4,6] => [5,3,7,2,4,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,2,5,1,6,4] => [5,7,3,6,2,1,4] => [5,3,7,6,2,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,2,5,4,1,6] => [4,5,3,7,1,2,6] => [5,3,7,4,2,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,2,5,4,6,1] => [6,7,3,5,2,4,1] => [5,3,6,7,2,1,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,7,2,5,6,1,4] => [6,7,3,1,2,5,4] => [6,3,7,2,4,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,5,6,4,1] => [4,6,3,7,1,5,2] => [6,3,7,4,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,6,1,4,5] => [6,7,3,1,4,2,5] => [6,3,7,2,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,6,1,5,4] => [6,7,3,5,1,2,4] => [5,3,6,7,4,2,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,7,2,6,4,1,5] => [4,6,3,7,2,1,5] => [6,3,7,4,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,6,4,5,1] => [5,7,3,6,4,2,1] => [5,3,7,6,1,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,2,6,5,1,4] => [5,6,3,2,7,1,4] => [6,3,7,1,5,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,6,5,4,1] => [4,5,3,6,7,2,1] => [6,3,7,4,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,4,1,2,5,6] => [4,1,3,7,2,5,6] => [3,1,7,4,2,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,1,2,6,5] => [4,1,3,7,6,2,5] => [3,1,6,4,7,5,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,7,4,1,5,2,6] => [4,7,3,5,2,1,6] => [4,3,7,5,1,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,4,1,5,6,2] => [4,7,3,6,2,5,1] => [4,3,7,6,1,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,4,1,6,2,5] => [4,7,3,6,1,2,5] => [4,3,7,6,2,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,4,1,6,5,2] => [4,7,3,5,6,2,1] => [4,3,7,5,6,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,4,2,1,5,6] => [2,4,3,7,1,5,6] => [3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,2,1,6,5] => [2,4,3,7,6,1,5] => [3,2,6,4,7,5,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,7,4,2,5,1,6] => [5,4,3,7,2,1,6] => [3,5,7,4,1,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,4,2,5,6,1] => [6,4,3,7,2,5,1] => [3,6,7,4,1,2,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,4,2,6,1,5] => [6,4,3,7,1,2,5] => [3,6,7,4,2,5,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,4,2,6,5,1] => [5,4,3,6,7,1,2] => [3,6,7,4,5,2,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,4,5,1,2,6] => [5,1,3,7,4,2,6] => [3,1,7,5,2,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,5,1,6,2] => [5,6,3,7,4,1,2] => [6,3,7,5,1,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,4,5,2,1,6] => [2,5,3,7,4,1,6] => [3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,5,2,6,1] => [6,5,3,7,4,2,1] => [3,6,7,5,1,2,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,4,5,6,1,2] => [6,1,3,7,4,5,2] => [3,1,7,6,2,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,5,6,2,1] => [2,6,3,7,4,5,1] => [3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,6,1,2,5] => [6,1,3,7,2,4,5] => [3,1,7,6,4,5,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,6,1,5,2] => [6,5,3,7,1,4,2] => [3,6,7,5,4,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,4,6,2,1,5] => [2,6,3,7,1,4,5] => [3,2,7,6,4,5,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,6,2,5,1] => [5,6,3,7,2,4,1] => [6,3,7,5,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,7,4,6,5,1,2] => [5,1,3,6,7,2,4] => [3,1,7,6,5,4,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,6,5,2,1] => [2,5,3,6,7,1,4] => [3,2,7,6,5,4,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,1,2,4,6] => [5,1,3,2,7,4,6] => [3,1,7,2,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,1,2,6,4] => [5,1,3,7,6,4,2] => [3,1,7,5,6,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,1,4,2,6] => [5,4,3,1,7,2,6] => [3,4,7,2,5,1,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,5,1,4,6,2] => [5,7,3,2,6,4,1] => [5,3,7,1,6,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,5,1,6,2,4] => [5,7,3,1,6,2,4] => [5,3,7,2,6,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,5,1,6,4,2] => [5,4,3,7,6,2,1] => [3,5,7,4,6,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,5,2,1,4,6] => [2,5,3,1,7,4,6] => [3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,2,1,6,4] => [2,5,3,7,6,4,1] => [3,2,7,5,6,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,2,4,1,6] => [4,5,3,2,7,1,6] => [4,3,7,1,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,5,2,4,6,1] => [6,5,3,2,7,4,1] => [3,6,7,1,5,2,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,5,2,6,1,4] => [6,5,3,1,7,2,4] => [3,6,7,2,5,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,7,5,2,6,4,1] => [4,6,3,5,7,1,2] => [4,3,7,6,5,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,5,4,1,2,6] => [4,1,3,5,7,2,6] => [3,1,7,4,5,2,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,4,1,6,2] => [4,5,3,7,6,1,2] => [5,3,7,4,6,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,5,4,2,1,6] => [2,4,3,5,7,1,6] => [3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,4,2,6,1] => [6,4,3,5,7,2,1] => [3,4,7,6,5,1,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,5,4,6,1,2] => [6,1,3,5,7,4,2] => [3,1,6,7,5,2,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,7,5,4,6,2,1] => [2,6,3,5,7,4,1] => [3,2,6,7,5,1,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,7,5,6,1,2,4] => [6,1,3,2,7,5,4] => [3,1,7,2,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,6,1,4,2] => [6,4,3,1,7,5,2] => [3,4,7,2,6,1,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,5,6,2,1,4] => [2,6,3,1,7,5,4] => [3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,6,2,4,1] => [4,6,3,2,7,5,1] => [4,3,7,1,6,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,5,6,4,1,2] => [4,1,3,6,7,5,2] => [3,1,7,4,6,2,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,5,6,4,2,1] => [2,4,3,6,7,5,1] => [3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,1,2,4,5] => [6,1,3,2,4,7,5] => [3,1,7,2,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,1,2,5,4] => [6,1,3,5,2,7,4] => [3,1,5,7,4,6,2] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,7,6,1,4,2,5] => [6,4,3,1,2,7,5] => [3,4,7,2,1,6,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,6,1,4,5,2] => [6,5,3,1,4,7,2] => [3,5,7,2,1,6,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,6,1,5,2,4] => [6,5,3,2,1,7,4] => [3,5,7,1,4,6,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,6,1,5,4,2] => [6,4,3,5,1,7,2] => [3,4,7,5,2,6,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,6,2,1,4,5] => [2,6,3,1,4,7,5] => [3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,2,1,5,4] => [2,6,3,5,1,7,4] => [3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[3,7,6,2,4,1,5] => [4,6,3,2,1,7,5] => [4,3,7,1,2,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,6,2,4,5,1] => [5,6,3,2,4,7,1] => [5,3,7,1,2,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,6,2,5,1,4] => [5,6,3,1,2,7,4] => [5,3,7,2,4,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,6,2,5,4,1] => [4,5,3,6,1,7,2] => [5,3,7,4,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,6,4,1,2,5] => [4,1,3,6,2,7,5] => [3,1,7,4,2,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,4,1,5,2] => [4,6,3,5,2,7,1] => [4,3,7,5,1,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,6,4,2,1,5] => [2,4,3,6,1,7,5] => [3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,4,2,5,1] => [5,4,3,6,2,7,1] => [3,5,7,4,1,6,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,7,6,4,5,1,2] => [5,1,3,6,4,7,2] => [3,1,7,5,2,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,4,5,2,1] => [2,5,3,6,4,7,1] => [3,2,7,5,1,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,5,1,2,4] => [5,1,3,2,6,7,4] => [3,1,7,2,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,5,1,4,2] => [5,4,3,1,6,7,2] => [3,4,7,2,5,6,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,7,6,5,2,1,4] => [2,5,3,1,6,7,4] => [3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,5,2,4,1] => [4,5,3,2,6,7,1] => [4,3,7,1,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,6,5,4,1,2] => [4,1,3,5,6,7,2] => [3,1,7,4,5,6,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,6,5,4,2,1] => [2,4,3,5,6,7,1] => [3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[4,1,2,3,5,7,6] => [4,1,2,3,5,7,6] => [4,1,2,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[4,1,2,3,6,5,7] => [4,1,2,3,6,5,7] => [4,1,2,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[4,1,2,3,6,7,5] => [4,1,2,3,7,6,5] => [4,1,2,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[4,1,2,3,7,5,6] => [4,1,2,3,7,5,6] => [4,1,2,3,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,1,2,3,7,6,5] => [4,1,2,3,6,7,5] => [4,1,2,3,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,1,2,5,3,6,7] => [4,1,5,2,3,6,7] => [5,1,4,3,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[4,1,2,5,3,7,6] => [4,1,5,2,3,7,6] => [5,1,4,3,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,1,2,5,6,3,7] => [4,1,6,2,5,3,7] => [5,1,4,3,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[4,1,2,5,6,7,3] => [4,1,7,2,5,6,3] => [5,1,4,3,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[4,1,2,5,7,3,6] => [4,1,7,2,5,3,6] => [5,1,4,3,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,1,2,5,7,6,3] => [4,1,6,2,5,7,3] => [5,1,4,3,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,1,2,6,3,5,7] => [4,1,6,2,3,5,7] => [6,1,4,3,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,2,6,3,7,5] => [4,1,6,2,7,3,5] => [7,1,4,3,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,6,5,3,7] => [4,1,5,2,6,3,7] => [6,1,4,3,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,2,6,5,7,3] => [4,1,7,2,6,5,3] => [6,1,4,3,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,2,6,7,3,5] => [4,1,7,2,3,6,5] => [6,1,4,3,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,2,6,7,5,3] => [4,1,5,2,7,6,3] => [6,1,4,3,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,2,7,3,5,6] => [4,1,7,2,3,5,6] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,3,6,5] => [4,1,7,2,6,3,5] => [6,1,4,3,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,2,7,5,3,6] => [4,1,5,2,7,3,6] => [7,1,4,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,5,6,3] => [4,1,6,2,7,5,3] => [7,1,4,3,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,6,3,5] => [4,1,6,2,3,7,5] => [7,1,4,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,6,5,3] => [4,1,5,2,6,7,3] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,2,5,6,7] => [4,3,1,2,5,6,7] => [3,4,2,1,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[4,1,3,2,5,7,6] => [4,3,1,2,5,7,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[4,1,3,2,6,5,7] => [4,3,1,2,6,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[4,1,3,2,6,7,5] => [4,3,1,2,7,6,5] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[4,1,3,2,7,5,6] => [4,3,1,2,7,5,6] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[4,1,3,2,7,6,5] => [4,3,1,2,6,7,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[4,1,3,5,2,6,7] => [4,5,1,3,2,6,7] => [5,4,2,1,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[4,1,3,5,2,7,6] => [4,5,1,3,2,7,6] => [5,4,2,1,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,1,3,5,6,2,7] => [4,6,1,3,5,2,7] => [5,4,2,1,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[4,1,3,5,6,7,2] => [4,7,1,3,5,6,2] => [5,4,2,1,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[4,1,3,5,7,2,6] => [4,7,1,3,5,2,6] => [5,4,2,1,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,1,3,5,7,6,2] => [4,6,1,3,5,7,2] => [5,4,2,1,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,1,3,6,2,5,7] => [4,6,1,3,2,5,7] => [6,4,2,1,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,3,6,2,7,5] => [4,6,1,3,7,2,5] => [7,4,2,1,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,5,2,7] => [4,5,1,3,6,2,7] => [6,4,2,1,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,3,6,5,7,2] => [4,7,1,3,6,5,2] => [6,4,2,1,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,3,6,7,2,5] => [4,7,1,3,2,6,5] => [6,4,2,1,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,3,6,7,5,2] => [4,5,1,3,7,6,2] => [6,4,2,1,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,3,7,2,5,6] => [4,7,1,3,2,5,6] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,2,6,5] => [4,7,1,3,6,2,5] => [6,4,2,1,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,3,7,5,2,6] => [4,5,1,3,7,2,6] => [7,4,2,1,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,5,6,2] => [4,6,1,3,7,5,2] => [7,4,2,1,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,6,2,5] => [4,6,1,3,2,7,5] => [7,4,2,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,6,5,2] => [4,5,1,3,6,7,2] => [7,4,2,1,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,2,3,6,7] => [4,5,2,1,3,6,7] => [5,4,1,3,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[4,1,5,2,3,7,6] => [4,5,2,1,3,7,6] => [5,4,1,3,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [6,5,4,3,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,5,2,6,7,3] => [4,5,7,1,2,6,3] => [6,5,4,3,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,5,2,7,3,6] => [4,5,7,1,2,3,6] => [7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,2,7,6,3] => [4,5,6,1,2,7,3] => [7,5,4,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,3,2,6,7] => [4,3,5,1,2,6,7] => [4,5,3,2,1,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[4,1,5,3,2,7,6] => [4,3,5,1,2,7,6] => [4,5,3,2,1,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[4,1,5,3,6,2,7] => [4,6,5,1,3,2,7] => [6,4,5,3,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,5,3,6,7,2] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,5,3,7,2,6] => [4,7,5,1,3,2,6] => [7,4,5,3,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,3,7,6,2] => [4,6,5,1,3,7,2] => [7,4,5,3,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,6,2,3,7] => [4,6,2,1,5,3,7] => [5,4,1,3,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[4,1,5,6,2,7,3] => [4,6,7,1,5,2,3] => [6,5,4,3,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,5,6,3,2,7] => [4,3,6,1,5,2,7] => [4,5,3,2,6,1,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[4,1,5,6,3,7,2] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,5,6,7,2,3] => [4,7,2,1,5,6,3] => [5,4,1,3,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[4,1,5,6,7,3,2] => [4,3,7,1,5,6,2] => [4,5,3,2,6,7,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[4,1,5,7,2,3,6] => [4,7,2,1,5,3,6] => [5,4,1,3,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,1,5,7,2,6,3] => [4,7,6,1,5,2,3] => [6,4,5,3,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,5,7,3,2,6] => [4,3,7,1,5,2,6] => [4,5,3,2,7,1,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[4,1,5,7,3,6,2] => [4,6,7,1,5,3,2] => [6,5,4,3,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,5,7,6,2,3] => [4,6,2,1,5,7,3] => [5,4,1,3,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,1,5,7,6,3,2] => [4,3,6,1,5,7,2] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[4,1,6,2,3,5,7] => [4,6,2,1,3,5,7] => [6,4,1,3,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,6,2,3,7,5] => [4,6,2,1,7,3,5] => [7,4,1,3,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,2,5,3,7] => [4,6,5,1,2,3,7] => [6,4,5,3,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,6,2,5,7,3] => [4,6,7,1,2,5,3] => [7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,2,7,3,5] => [4,6,7,1,3,2,5] => [7,6,4,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,2,7,5,3] => [4,6,5,1,7,2,3] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,3,2,5,7] => [4,3,6,1,2,5,7] => [4,6,3,2,1,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[4,1,6,3,2,7,5] => [4,3,6,1,7,2,5] => [4,7,3,2,6,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,1,6,3,5,2,7] => [4,5,6,1,3,2,7] => [6,5,4,3,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,6,3,5,7,2] => [4,7,6,1,3,5,2] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,3,7,2,5] => [4,7,6,1,2,3,5] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,3,7,5,2] => [4,5,7,1,6,2,3] => [7,5,4,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,5,2,3,7] => [4,5,2,1,6,3,7] => [6,4,1,3,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,1,6,5,2,7,3] => [4,5,6,1,7,3,2] => [7,6,4,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,5,3,2,7] => [4,3,5,1,6,2,7] => [4,6,3,2,5,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[4,1,6,5,3,7,2] => [4,7,5,1,6,3,2] => [7,4,5,3,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,5,7,2,3] => [4,7,2,1,6,5,3] => [6,4,1,3,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,6,5,7,3,2] => [4,3,7,1,6,5,2] => [4,6,3,2,7,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,1,6,7,2,3,5] => [4,7,2,1,3,6,5] => [6,4,1,3,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,6,7,2,5,3] => [4,7,5,1,2,6,3] => [6,4,5,3,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,6,7,3,2,5] => [4,3,7,1,2,6,5] => [4,6,3,2,1,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,1,6,7,3,5,2] => [4,5,7,1,3,6,2] => [6,5,4,3,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,6,7,5,2,3] => [4,5,2,1,7,6,3] => [6,4,1,3,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,6,7,5,3,2] => [4,3,5,1,7,6,2] => [4,6,3,2,5,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,1,7,2,3,5,6] => [4,7,2,1,3,5,6] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,3,6,5] => [4,7,2,1,6,3,5] => [6,4,1,3,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,7,2,5,3,6] => [4,7,5,1,2,3,6] => [7,4,5,3,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,5,6,3] => [4,7,6,1,2,5,3] => [7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,6,3,5] => [4,7,6,1,3,2,5] => [7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,6,5,3] => [4,7,5,1,6,2,3] => [7,4,5,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,2,5,6] => [4,3,7,1,2,5,6] => [4,7,3,2,1,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,1,7,3,2,6,5] => [4,3,7,1,6,2,5] => [4,6,3,2,7,5,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,1,7,3,5,2,6] => [4,5,7,1,3,2,6] => [7,5,4,3,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,5,6,2] => [4,6,7,1,3,5,2] => [7,6,4,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,6,2,5] => [4,6,7,1,2,3,5] => [7,6,4,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,6,5,2] => [4,5,6,1,7,2,3] => [7,6,4,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,2,3,6] => [4,5,2,1,7,3,6] => [7,4,1,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,2,6,3] => [4,5,7,1,6,3,2] => [7,5,4,3,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,3,2,6] => [4,3,5,1,7,2,6] => [4,7,3,2,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,1,7,5,3,6,2] => [4,6,5,1,7,3,2] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,6,2,3] => [4,6,2,1,7,5,3] => [7,4,1,3,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,6,3,2] => [4,3,6,1,7,5,2] => [4,7,3,2,6,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,1,7,6,2,3,5] => [4,6,2,1,3,7,5] => [7,4,1,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,2,5,3] => [4,6,5,1,2,7,3] => [7,4,5,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,3,2,5] => [4,3,6,1,2,7,5] => [4,7,3,2,1,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,1,7,6,3,5,2] => [4,5,6,1,3,7,2] => [7,5,4,3,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,5,2,3] => [4,5,2,1,6,7,3] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,5,3,2] => [4,3,5,1,6,7,2] => [4,7,3,2,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => [4,2,1,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[4,2,1,3,5,7,6] => [2,4,1,3,5,7,6] => [4,2,1,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[4,2,1,3,6,5,7] => [2,4,1,3,6,5,7] => [4,2,1,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[4,2,1,3,6,7,5] => [2,4,1,3,7,6,5] => [4,2,1,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[4,2,1,3,7,5,6] => [2,4,1,3,7,5,6] => [4,2,1,3,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,2,1,3,7,6,5] => [2,4,1,3,6,7,5] => [4,2,1,3,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,2,1,5,3,6,7] => [2,4,5,1,3,6,7] => [5,2,4,3,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[4,2,1,5,3,7,6] => [2,4,5,1,3,7,6] => [5,2,4,3,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,2,1,5,6,3,7] => [2,4,6,1,5,3,7] => [5,2,4,3,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[4,2,1,5,6,7,3] => [2,4,7,1,5,6,3] => [5,2,4,3,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[4,2,1,5,7,3,6] => [2,4,7,1,5,3,6] => [5,2,4,3,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,2,1,5,7,6,3] => [2,4,6,1,5,7,3] => [5,2,4,3,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,2,1,6,3,5,7] => [2,4,6,1,3,5,7] => [6,2,4,3,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,2,1,6,3,7,5] => [2,4,6,1,7,3,5] => [7,2,4,3,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,6,5,3,7] => [2,4,5,1,6,3,7] => [6,2,4,3,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,2,1,6,5,7,3] => [2,4,7,1,6,5,3] => [6,2,4,3,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,2,1,6,7,3,5] => [2,4,7,1,3,6,5] => [6,2,4,3,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,2,1,6,7,5,3] => [2,4,5,1,7,6,3] => [6,2,4,3,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,2,1,7,3,5,6] => [2,4,7,1,3,5,6] => [7,2,4,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,3,6,5] => [2,4,7,1,6,3,5] => [6,2,4,3,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,2,1,7,5,3,6] => [2,4,5,1,7,3,6] => [7,2,4,3,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,5,6,3] => [2,4,6,1,7,5,3] => [7,2,4,3,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,6,3,5] => [2,4,6,1,3,7,5] => [7,2,4,3,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,6,5,3] => [2,4,5,1,6,7,3] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,1,5,6,7] => [3,4,2,1,5,6,7] => [4,3,1,2,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[4,2,3,1,5,7,6] => [3,4,2,1,5,7,6] => [4,3,1,2,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[4,2,3,1,6,5,7] => [3,4,2,1,6,5,7] => [4,3,1,2,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[4,2,3,1,6,7,5] => [3,4,2,1,7,6,5] => [4,3,1,2,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[4,2,3,1,7,5,6] => [3,4,2,1,7,5,6] => [4,3,1,2,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,2,3,1,7,6,5] => [3,4,2,1,6,7,5] => [4,3,1,2,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,2,3,5,1,6,7] => [5,4,2,3,1,6,7] => [4,5,1,2,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[4,2,3,5,1,7,6] => [5,4,2,3,1,7,6] => [4,5,1,2,3,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[4,2,3,5,6,1,7] => [6,4,2,3,5,1,7] => [4,5,1,2,6,3,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[4,2,3,5,6,7,1] => [7,4,2,3,5,6,1] => [4,5,1,2,6,7,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[4,2,3,5,7,1,6] => [7,4,2,3,5,1,6] => [4,5,1,2,7,3,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[4,2,3,5,7,6,1] => [6,4,2,3,5,7,1] => [4,5,1,2,7,6,3] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[4,2,3,6,1,5,7] => [6,4,2,3,1,5,7] => [4,6,1,2,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[4,2,3,6,1,7,5] => [6,4,2,3,7,1,5] => [4,7,1,2,6,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,3,6,5,1,7] => [5,4,2,3,6,1,7] => [4,6,1,2,5,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[4,2,3,6,5,7,1] => [7,4,2,3,6,5,1] => [4,6,1,2,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,2,3,6,7,1,5] => [7,4,2,3,1,6,5] => [4,6,1,2,3,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,2,3,6,7,5,1] => [5,4,2,3,7,6,1] => [4,6,1,2,5,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,2,3,7,1,5,6] => [7,4,2,3,1,5,6] => [4,7,1,2,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,3,7,1,6,5] => [7,4,2,3,6,1,5] => [4,6,1,2,7,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,2,3,7,5,1,6] => [5,4,2,3,7,1,6] => [4,7,1,2,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,3,7,5,6,1] => [6,4,2,3,7,5,1] => [4,7,1,2,6,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,3,7,6,1,5] => [6,4,2,3,1,7,5] => [4,7,1,2,3,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,3,7,6,5,1] => [5,4,2,3,6,7,1] => [4,7,1,2,5,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,5,1,3,6,7] => [5,4,1,2,3,6,7] => [4,5,2,3,1,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[4,2,5,1,3,7,6] => [5,4,1,2,3,7,6] => [4,5,2,3,1,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[4,2,5,1,6,3,7] => [5,4,6,2,1,3,7] => [5,6,4,2,3,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[4,2,5,1,6,7,3] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[4,2,5,1,7,3,6] => [5,4,7,2,1,3,6] => [5,7,4,2,3,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,5,1,7,6,3] => [5,4,6,2,1,7,3] => [5,7,4,2,3,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,5,3,1,6,7] => [3,5,4,1,2,6,7] => [5,3,4,2,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[4,2,5,3,1,7,6] => [3,5,4,1,2,7,6] => [5,3,4,2,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,2,5,3,6,1,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[4,2,5,3,6,7,1] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,2,5,3,7,1,6] => [7,4,5,2,3,1,6] => [4,7,5,2,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,5,3,7,6,1] => [6,4,5,2,3,7,1] => [4,7,5,2,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,5,6,1,3,7] => [6,4,1,2,5,3,7] => [4,5,2,3,6,1,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[4,2,5,6,1,7,3] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[4,2,5,6,3,1,7] => [3,6,4,1,5,2,7] => [5,3,4,2,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[4,2,5,6,3,7,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,2,5,6,7,1,3] => [7,4,1,2,5,6,3] => [4,5,2,3,6,7,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[4,2,5,6,7,3,1] => [3,7,4,1,5,6,2] => [5,3,4,2,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[4,2,5,7,1,3,6] => [7,4,1,2,5,3,6] => [4,5,2,3,7,1,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[4,2,5,7,1,6,3] => [7,4,6,2,5,1,3] => [4,6,5,2,7,3,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,2,5,7,3,1,6] => [3,7,4,1,5,2,6] => [5,3,4,2,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,2,5,7,3,6,1] => [6,4,7,2,5,3,1] => [5,6,4,2,7,1,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[4,2,5,7,6,1,3] => [6,4,1,2,5,7,3] => [4,5,2,3,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[4,2,5,7,6,3,1] => [3,6,4,1,5,7,2] => [5,3,4,2,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,2,6,1,3,5,7] => [6,4,1,2,3,5,7] => [4,6,2,3,1,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[4,2,6,1,3,7,5] => [6,4,1,2,7,3,5] => [4,7,2,3,6,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,6,1,5,3,7] => [6,4,5,2,1,3,7] => [4,6,5,2,3,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[4,2,6,1,5,7,3] => [6,4,7,2,1,5,3] => [6,7,4,2,3,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,6,1,7,3,5] => [6,4,7,2,3,1,5] => [6,7,4,2,1,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,6,1,7,5,3] => [6,4,5,2,7,1,3] => [4,7,6,2,5,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,6,3,1,5,7] => [3,6,4,1,2,5,7] => [6,3,4,2,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,2,6,3,1,7,5] => [3,6,4,1,7,2,5] => [7,3,4,2,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,3,5,1,7] => [5,4,6,2,3,1,7] => [5,6,4,2,1,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[4,2,6,3,5,7,1] => [7,4,6,2,3,5,1] => [4,7,6,2,1,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,6,3,7,1,5] => [7,4,6,2,1,3,5] => [4,7,6,2,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,6,3,7,5,1] => [5,4,7,2,6,1,3] => [5,7,4,2,6,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,6,5,1,3,7] => [5,4,1,2,6,3,7] => [4,6,2,3,5,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[4,2,6,5,1,7,3] => [5,4,6,2,7,3,1] => [6,7,4,2,5,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,6,5,3,1,7] => [3,5,4,1,6,2,7] => [6,3,4,2,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,2,6,5,3,7,1] => [7,4,5,2,6,3,1] => [4,7,5,2,6,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,6,5,7,1,3] => [7,4,1,2,6,5,3] => [4,6,2,3,7,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,2,6,5,7,3,1] => [3,7,4,1,6,5,2] => [6,3,4,2,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,2,6,7,1,3,5] => [7,4,1,2,3,6,5] => [4,6,2,3,1,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,2,6,7,1,5,3] => [7,4,5,2,1,6,3] => [4,6,5,2,3,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,2,6,7,3,1,5] => [3,7,4,1,2,6,5] => [6,3,4,2,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,2,6,7,3,5,1] => [5,4,7,2,3,6,1] => [5,6,4,2,1,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[4,2,6,7,5,1,3] => [5,4,1,2,7,6,3] => [4,6,2,3,5,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,2,6,7,5,3,1] => [3,5,4,1,7,6,2] => [6,3,4,2,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,2,7,1,3,5,6] => [7,4,1,2,3,5,6] => [4,7,2,3,1,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,1,3,6,5] => [7,4,1,2,6,3,5] => [4,6,2,3,7,5,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,2,7,1,5,3,6] => [7,4,5,2,1,3,6] => [4,7,5,2,3,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,1,5,6,3] => [7,4,6,2,1,5,3] => [4,7,6,2,3,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,1,6,3,5] => [7,4,6,2,3,1,5] => [4,7,6,2,1,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,1,6,5,3] => [7,4,5,2,6,1,3] => [4,7,5,2,6,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,3,1,5,6] => [3,7,4,1,2,5,6] => [7,3,4,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,3,1,6,5] => [3,7,4,1,6,2,5] => [6,3,4,2,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,2,7,3,5,1,6] => [5,4,7,2,3,1,6] => [5,7,4,2,1,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,7,3,5,6,1] => [6,4,7,2,3,5,1] => [6,7,4,2,1,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,7,3,6,1,5] => [6,4,7,2,1,3,5] => [6,7,4,2,3,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,7,3,6,5,1] => [5,4,6,2,7,1,3] => [6,7,4,2,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,7,5,1,3,6] => [5,4,1,2,7,3,6] => [4,7,2,3,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,5,1,6,3] => [5,4,7,2,6,3,1] => [5,7,4,2,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,7,5,3,1,6] => [3,5,4,1,7,2,6] => [7,3,4,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,5,3,6,1] => [6,4,5,2,7,3,1] => [4,7,6,2,5,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,5,6,1,3] => [6,4,1,2,7,5,3] => [4,7,2,3,6,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,5,6,3,1] => [3,6,4,1,7,5,2] => [7,3,4,2,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,6,1,3,5] => [6,4,1,2,3,7,5] => [4,7,2,3,1,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,6,1,5,3] => [6,4,5,2,1,7,3] => [4,7,5,2,3,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,6,3,1,5] => [3,6,4,1,2,7,5] => [7,3,4,2,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,6,3,5,1] => [5,4,6,2,3,7,1] => [5,7,4,2,1,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,7,6,5,1,3] => [5,4,1,2,6,7,3] => [4,7,2,3,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,7,6,5,3,1] => [3,5,4,1,6,7,2] => [7,3,4,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,2,5,6,7] => [3,1,4,2,5,6,7] => [4,1,3,2,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[4,3,1,2,5,7,6] => [3,1,4,2,5,7,6] => [4,1,3,2,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[4,3,1,2,6,5,7] => [3,1,4,2,6,5,7] => [4,1,3,2,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[4,3,1,2,6,7,5] => [3,1,4,2,7,6,5] => [4,1,3,2,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[4,3,1,2,7,5,6] => [3,1,4,2,7,5,6] => [4,1,3,2,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,3,1,2,7,6,5] => [3,1,4,2,6,7,5] => [4,1,3,2,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,3,1,5,2,6,7] => [3,4,5,2,1,6,7] => [5,4,3,1,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[4,3,1,5,2,7,6] => [3,4,5,2,1,7,6] => [5,4,3,1,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,3,1,5,6,2,7] => [3,4,6,2,5,1,7] => [5,4,3,1,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[4,3,1,5,6,7,2] => [3,4,7,2,5,6,1] => [5,4,3,1,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[4,3,1,5,7,2,6] => [3,4,7,2,5,1,6] => [5,4,3,1,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,3,1,5,7,6,2] => [3,4,6,2,5,7,1] => [5,4,3,1,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,3,1,6,2,5,7] => [3,4,6,2,1,5,7] => [6,4,3,1,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,3,1,6,2,7,5] => [3,4,6,2,7,1,5] => [7,4,3,1,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,6,5,2,7] => [3,4,5,2,6,1,7] => [6,4,3,1,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,3,1,6,5,7,2] => [3,4,7,2,6,5,1] => [6,4,3,1,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,3,1,6,7,2,5] => [3,4,7,2,1,6,5] => [6,4,3,1,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,3,1,6,7,5,2] => [3,4,5,2,7,6,1] => [6,4,3,1,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,3,1,7,2,5,6] => [3,4,7,2,1,5,6] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,2,6,5] => [3,4,7,2,6,1,5] => [6,4,3,1,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,3,1,7,5,2,6] => [3,4,5,2,7,1,6] => [7,4,3,1,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,5,6,2] => [3,4,6,2,7,5,1] => [7,4,3,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,6,2,5] => [3,4,6,2,1,7,5] => [7,4,3,1,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,6,5,2] => [3,4,5,2,6,7,1] => [7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,5,6,7] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[4,3,2,1,5,7,6] => [2,3,4,1,5,7,6] => [4,2,3,1,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[4,3,2,1,6,5,7] => [2,3,4,1,6,5,7] => [4,2,3,1,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[4,3,2,1,6,7,5] => [2,3,4,1,7,6,5] => [4,2,3,1,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[4,3,2,1,7,5,6] => [2,3,4,1,7,5,6] => [4,2,3,1,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,3,2,1,7,6,5] => [2,3,4,1,6,7,5] => [4,2,3,1,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,3,2,5,1,6,7] => [5,3,4,2,1,6,7] => [3,5,4,1,2,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[4,3,2,5,1,7,6] => [5,3,4,2,1,7,6] => [3,5,4,1,2,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[4,3,2,5,6,1,7] => [6,3,4,2,5,1,7] => [3,5,4,1,6,2,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[4,3,2,5,6,7,1] => [7,3,4,2,5,6,1] => [3,5,4,1,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[4,3,2,5,7,1,6] => [7,3,4,2,5,1,6] => [3,5,4,1,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[4,3,2,5,7,6,1] => [6,3,4,2,5,7,1] => [3,5,4,1,7,6,2] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[4,3,2,6,1,5,7] => [6,3,4,2,1,5,7] => [3,6,4,1,2,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[4,3,2,6,1,7,5] => [6,3,4,2,7,1,5] => [3,7,4,1,6,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,3,2,6,5,1,7] => [5,3,4,2,6,1,7] => [3,6,4,1,5,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[4,3,2,6,5,7,1] => [7,3,4,2,6,5,1] => [3,6,4,1,7,2,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[4,3,2,6,7,1,5] => [7,3,4,2,1,6,5] => [3,6,4,1,2,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[4,3,2,6,7,5,1] => [5,3,4,2,7,6,1] => [3,6,4,1,5,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[4,3,2,7,1,5,6] => [7,3,4,2,1,5,6] => [3,7,4,1,2,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,3,2,7,1,6,5] => [7,3,4,2,6,1,5] => [3,6,4,1,7,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[4,3,2,7,5,1,6] => [5,3,4,2,7,1,6] => [3,7,4,1,5,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,3,2,7,5,6,1] => [6,3,4,2,7,5,1] => [3,7,4,1,6,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,3,2,7,6,1,5] => [6,3,4,2,1,7,5] => [3,7,4,1,2,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,3,2,7,6,5,1] => [5,3,4,2,6,7,1] => [3,7,4,1,5,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,3,5,1,2,6,7] => [5,1,4,3,2,6,7] => [4,1,5,2,3,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[4,3,5,1,2,7,6] => [5,1,4,3,2,7,6] => [4,1,5,2,3,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[4,3,5,1,6,2,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[4,3,5,1,6,7,2] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[4,3,5,1,7,2,6] => [5,7,4,3,1,2,6] => [5,4,7,1,3,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,3,5,1,7,6,2] => [5,6,4,3,1,7,2] => [5,4,7,1,3,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,3,5,2,1,6,7] => [2,5,4,3,1,6,7] => [4,2,5,1,3,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[4,3,5,2,1,7,6] => [2,5,4,3,1,7,6] => [4,2,5,1,3,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[4,3,5,2,6,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[4,3,5,2,6,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[4,3,5,2,7,1,6] => [7,5,4,3,2,1,6] => [4,5,7,1,2,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[4,3,5,2,7,6,1] => [6,5,4,3,2,7,1] => [4,5,7,1,2,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[4,3,5,6,1,2,7] => [6,1,4,3,5,2,7] => [4,1,5,2,6,3,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[4,3,5,6,1,7,2] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[4,3,5,6,2,1,7] => [2,6,4,3,5,1,7] => [4,2,5,1,6,3,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[4,3,5,6,2,7,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[4,3,5,6,7,1,2] => [7,1,4,3,5,6,2] => [4,1,5,2,6,7,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[4,3,5,6,7,2,1] => [2,7,4,3,5,6,1] => [4,2,5,1,6,7,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[4,3,5,7,1,2,6] => [7,1,4,3,5,2,6] => [4,1,5,2,7,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[4,3,5,7,1,6,2] => [7,6,4,3,5,1,2] => [4,5,6,1,7,3,2] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[4,3,5,7,2,1,6] => [2,7,4,3,5,1,6] => [4,2,5,1,7,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[4,3,5,7,2,6,1] => [6,7,4,3,5,2,1] => [5,4,6,1,7,2,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[4,3,5,7,6,1,2] => [6,1,4,3,5,7,2] => [4,1,5,2,7,6,3] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[4,3,5,7,6,2,1] => [2,6,4,3,5,7,1] => [4,2,5,1,7,6,3] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[4,3,6,1,2,5,7] => [6,1,4,3,2,5,7] => [4,1,6,2,3,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[4,3,6,1,2,7,5] => [6,1,4,3,7,2,5] => [4,1,7,2,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,6,1,5,2,7] => [6,5,4,3,1,2,7] => [4,5,6,1,3,2,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[4,3,6,1,5,7,2] => [6,7,4,3,1,5,2] => [6,4,7,1,3,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,3,6,1,7,2,5] => [6,7,4,3,2,1,5] => [6,4,7,1,2,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,3,6,1,7,5,2] => [6,5,4,3,7,1,2] => [4,6,7,1,5,3,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[4,3,6,2,1,5,7] => [2,6,4,3,1,5,7] => [4,2,6,1,3,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[4,3,6,2,1,7,5] => [2,6,4,3,7,1,5] => [4,2,7,1,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,6,2,5,1,7] => [5,6,4,3,2,1,7] => [5,4,6,1,2,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[4,3,6,2,5,7,1] => [7,6,4,3,2,5,1] => [4,6,7,1,2,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[4,3,6,2,7,1,5] => [7,6,4,3,1,2,5] => [4,6,7,1,3,5,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[4,3,6,2,7,5,1] => [5,7,4,3,6,1,2] => [5,4,7,1,6,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,3,6,5,1,2,7] => [5,1,4,3,6,2,7] => [4,1,6,2,5,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[4,3,6,5,1,7,2] => [5,6,4,3,7,2,1] => [6,4,7,1,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,3,6,5,2,1,7] => [2,5,4,3,6,1,7] => [4,2,6,1,5,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[4,3,6,5,2,7,1] => [7,5,4,3,6,2,1] => [4,5,7,1,6,2,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[4,3,6,5,7,1,2] => [7,1,4,3,6,5,2] => [4,1,6,2,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[4,3,6,5,7,2,1] => [2,7,4,3,6,5,1] => [4,2,6,1,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[4,3,6,7,1,2,5] => [7,1,4,3,2,6,5] => [4,1,6,2,3,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[4,3,6,7,1,5,2] => [7,5,4,3,1,6,2] => [4,5,6,1,3,7,2] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[4,3,6,7,2,1,5] => [2,7,4,3,1,6,5] => [4,2,6,1,3,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[4,3,6,7,2,5,1] => [5,7,4,3,2,6,1] => [5,4,6,1,2,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[4,3,6,7,5,1,2] => [5,1,4,3,7,6,2] => [4,1,6,2,5,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[4,3,6,7,5,2,1] => [2,5,4,3,7,6,1] => [4,2,6,1,5,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[4,3,7,1,2,5,6] => [7,1,4,3,2,5,6] => [4,1,7,2,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,7,1,2,6,5] => [7,1,4,3,6,2,5] => [4,1,6,2,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[4,3,7,1,5,2,6] => [7,5,4,3,1,2,6] => [4,5,7,1,3,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[4,3,7,1,5,6,2] => [7,6,4,3,1,5,2] => [4,6,7,1,3,2,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[4,3,7,1,6,2,5] => [7,6,4,3,2,1,5] => [4,6,7,1,2,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[4,3,7,1,6,5,2] => [7,5,4,3,6,1,2] => [4,5,7,1,6,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[4,3,7,2,1,5,6] => [2,7,4,3,1,5,6] => [4,2,7,1,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,7,2,1,6,5] => [2,7,4,3,6,1,5] => [4,2,6,1,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[4,3,7,2,5,1,6] => [5,7,4,3,2,1,6] => [5,4,7,1,2,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,3,7,2,5,6,1] => [6,7,4,3,2,5,1] => [6,4,7,1,2,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,3,7,2,6,1,5] => [6,7,4,3,1,2,5] => [6,4,7,1,3,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,3,7,2,6,5,1] => [5,6,4,3,7,1,2] => [6,4,7,1,5,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,3,7,5,1,2,6] => [5,1,4,3,7,2,6] => [4,1,7,2,5,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,7,5,1,6,2] => [5,7,4,3,6,2,1] => [5,4,7,1,6,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,3,7,5,2,1,6] => [2,5,4,3,7,1,6] => [4,2,7,1,5,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,7,5,2,6,1] => [6,5,4,3,7,2,1] => [4,6,7,1,5,2,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[4,3,7,5,6,1,2] => [6,1,4,3,7,5,2] => [4,1,7,2,6,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,7,5,6,2,1] => [2,6,4,3,7,5,1] => [4,2,7,1,6,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,7,6,1,2,5] => [6,1,4,3,2,7,5] => [4,1,7,2,3,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,7,6,1,5,2] => [6,5,4,3,1,7,2] => [4,5,7,1,3,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[4,3,7,6,2,1,5] => [2,6,4,3,1,7,5] => [4,2,7,1,3,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,7,6,2,5,1] => [5,6,4,3,2,7,1] => [5,4,7,1,2,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,3,7,6,5,1,2] => [5,1,4,3,6,7,2] => [4,1,7,2,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,7,6,5,2,1] => [2,5,4,3,6,7,1] => [4,2,7,1,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => [4,1,2,5,3,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[4,5,1,2,3,7,6] => [5,1,2,4,3,7,6] => [4,1,2,5,3,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[4,5,1,2,6,3,7] => [5,1,6,4,2,3,7] => [5,1,4,6,3,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,5,1,2,6,7,3] => [5,1,7,4,2,6,3] => [5,1,4,6,3,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,5,1,2,7,3,6] => [5,1,7,4,2,3,6] => [5,1,4,7,3,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,1,2,7,6,3] => [5,1,6,4,2,7,3] => [5,1,4,7,3,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,1,3,2,6,7] => [5,3,1,4,2,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[4,5,1,3,2,7,6] => [5,3,1,4,2,7,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[4,5,1,3,6,2,7] => [5,6,1,4,3,2,7] => [5,4,2,6,1,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,5,1,3,6,7,2] => [5,7,1,4,3,6,2] => [5,4,2,6,1,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,5,1,3,7,2,6] => [5,7,1,4,3,2,6] => [5,4,2,7,1,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,1,3,7,6,2] => [5,6,1,4,3,7,2] => [5,4,2,7,1,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,1,6,2,3,7] => [5,6,2,4,1,3,7] => [5,4,1,6,3,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,5,1,6,2,7,3] => [5,6,7,4,1,2,3] => [6,5,4,7,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,5,1,6,3,2,7] => [5,3,6,4,1,2,7] => [4,5,3,6,2,1,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[4,5,1,6,3,7,2] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,5,1,6,7,2,3] => [5,7,2,4,1,6,3] => [5,4,1,6,3,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,5,1,6,7,3,2] => [5,3,7,4,1,6,2] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[4,5,1,7,2,3,6] => [5,7,2,4,1,3,6] => [5,4,1,7,3,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,1,7,2,6,3] => [5,7,6,4,1,2,3] => [6,4,5,7,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,5,1,7,3,2,6] => [5,3,7,4,1,2,6] => [4,5,3,7,2,1,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,5,1,7,3,6,2] => [5,6,7,4,1,3,2] => [6,5,4,7,3,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,5,1,7,6,2,3] => [5,6,2,4,1,7,3] => [5,4,1,7,3,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,1,7,6,3,2] => [5,3,6,4,1,7,2] => [4,5,3,7,2,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,5,2,1,3,6,7] => [2,5,1,4,3,6,7] => [4,2,1,5,3,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[4,5,2,1,3,7,6] => [2,5,1,4,3,7,6] => [4,2,1,5,3,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[4,5,2,1,6,3,7] => [2,5,6,4,1,3,7] => [5,2,4,6,3,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,5,2,1,6,7,3] => [2,5,7,4,1,6,3] => [5,2,4,6,3,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,5,2,1,7,3,6] => [2,5,7,4,1,3,6] => [5,2,4,7,3,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,2,1,7,6,3] => [2,5,6,4,1,7,3] => [5,2,4,7,3,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,2,3,1,6,7] => [3,5,2,4,1,6,7] => [4,3,1,5,2,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[4,5,2,3,1,7,6] => [3,5,2,4,1,7,6] => [4,3,1,5,2,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[4,5,2,3,6,1,7] => [6,5,2,4,3,1,7] => [4,5,1,6,2,3,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[4,5,2,3,6,7,1] => [7,5,2,4,3,6,1] => [4,5,1,6,2,7,3] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[4,5,2,3,7,1,6] => [7,5,2,4,3,1,6] => [4,5,1,7,2,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,5,2,3,7,6,1] => [6,5,2,4,3,7,1] => [4,5,1,7,2,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,5,2,6,1,3,7] => [6,5,1,4,2,3,7] => [4,5,2,6,3,1,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[4,5,2,6,1,7,3] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[4,5,2,6,3,1,7] => [3,6,5,4,1,2,7] => [5,3,4,6,2,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,5,2,6,3,7,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,5,2,6,7,1,3] => [7,5,1,4,2,6,3] => [4,5,2,6,3,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[4,5,2,6,7,3,1] => [3,7,5,4,1,6,2] => [5,3,4,6,2,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,5,2,7,1,3,6] => [7,5,1,4,2,3,6] => [4,5,2,7,3,1,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,5,2,7,1,6,3] => [7,5,6,4,2,1,3] => [4,6,5,7,2,3,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,5,2,7,3,1,6] => [3,7,5,4,1,2,6] => [5,3,4,7,2,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,2,7,3,6,1] => [6,5,7,4,2,3,1] => [5,6,4,7,2,1,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[4,5,2,7,6,1,3] => [6,5,1,4,2,7,3] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,5,2,7,6,3,1] => [3,6,5,4,1,7,2] => [5,3,4,7,2,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,3,1,2,6,7] => [3,1,5,4,2,6,7] => [4,1,3,5,2,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[4,5,3,1,2,7,6] => [3,1,5,4,2,7,6] => [4,1,3,5,2,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[4,5,3,1,6,2,7] => [3,5,6,4,2,1,7] => [5,4,3,6,1,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,5,3,1,6,7,2] => [3,5,7,4,2,6,1] => [5,4,3,6,1,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,5,3,1,7,2,6] => [3,5,7,4,2,1,6] => [5,4,3,7,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,3,1,7,6,2] => [3,5,6,4,2,7,1] => [5,4,3,7,1,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,3,2,1,6,7] => [2,3,5,4,1,6,7] => [4,2,3,5,1,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[4,5,3,2,1,7,6] => [2,3,5,4,1,7,6] => [4,2,3,5,1,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[4,5,3,2,6,1,7] => [6,3,5,4,2,1,7] => [3,5,4,6,1,2,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[4,5,3,2,6,7,1] => [7,3,5,4,2,6,1] => [3,5,4,6,1,7,2] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[4,5,3,2,7,1,6] => [7,3,5,4,2,1,6] => [3,5,4,7,1,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[4,5,3,2,7,6,1] => [6,3,5,4,2,7,1] => [3,5,4,7,1,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[4,5,3,6,1,2,7] => [6,1,5,4,3,2,7] => [4,1,5,6,2,3,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[4,5,3,6,1,7,2] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,5,3,6,2,1,7] => [2,6,5,4,3,1,7] => [4,2,5,6,1,3,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[4,5,3,6,7,1,2] => [7,1,5,4,3,6,2] => [4,1,5,6,2,7,3] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[4,5,3,6,7,2,1] => [2,7,5,4,3,6,1] => [4,2,5,6,1,7,3] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[4,5,3,7,1,2,6] => [7,1,5,4,3,2,6] => [4,1,5,7,2,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,5,3,7,1,6,2] => [7,6,5,4,3,1,2] => [4,5,6,7,1,3,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[4,5,3,7,2,1,6] => [2,7,5,4,3,1,6] => [4,2,5,7,1,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,5,3,7,2,6,1] => [6,7,5,4,3,2,1] => [5,4,6,7,1,2,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,5,3,7,6,1,2] => [6,1,5,4,3,7,2] => [4,1,5,7,2,6,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,5,3,7,6,2,1] => [2,6,5,4,3,7,1] => [4,2,5,7,1,6,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => [4,1,2,5,6,3,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[4,5,6,1,2,7,3] => [6,1,7,4,5,2,3] => [5,1,4,6,7,3,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,6,1,3,2,7] => [6,3,1,4,5,2,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[4,5,6,1,3,7,2] => [6,7,1,4,5,3,2] => [5,4,2,6,7,1,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,6,1,7,2,3] => [6,7,2,4,5,1,3] => [5,4,1,6,7,3,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,6,1,7,3,2] => [6,3,7,4,5,1,2] => [4,5,3,6,7,2,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[4,5,6,2,1,3,7] => [2,6,1,4,5,3,7] => [4,2,1,5,6,3,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[4,5,6,2,1,7,3] => [2,6,7,4,5,1,3] => [5,2,4,6,7,3,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,6,2,3,1,7] => [3,6,2,4,5,1,7] => [4,3,1,5,6,2,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[4,5,6,2,3,7,1] => [7,6,2,4,5,3,1] => [4,5,1,6,7,2,3] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[4,5,6,2,7,1,3] => [7,6,1,4,5,2,3] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[4,5,6,2,7,3,1] => [3,7,6,4,5,1,2] => [5,3,4,6,7,2,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,6,3,1,2,7] => [3,1,6,4,5,2,7] => [4,1,3,5,6,2,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[4,5,6,3,1,7,2] => [3,6,7,4,5,2,1] => [5,4,3,6,7,1,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,6,3,2,1,7] => [2,3,6,4,5,1,7] => [4,2,3,5,6,1,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[4,5,6,3,2,7,1] => [7,3,6,4,5,2,1] => [3,5,4,6,7,1,2] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[4,5,6,3,7,1,2] => [7,1,6,4,5,3,2] => [4,1,5,6,7,2,3] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[4,5,6,3,7,2,1] => [2,7,6,4,5,3,1] => [4,2,5,6,7,1,3] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[4,5,6,7,1,2,3] => [7,1,2,4,5,6,3] => [4,1,2,5,6,7,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[4,5,6,7,1,3,2] => [7,3,1,4,5,6,2] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[4,5,6,7,2,1,3] => [2,7,1,4,5,6,3] => [4,2,1,5,6,7,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[4,5,6,7,2,3,1] => [3,7,2,4,5,6,1] => [4,3,1,5,6,7,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[4,5,6,7,3,1,2] => [3,1,7,4,5,6,2] => [4,1,3,5,6,7,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[4,5,6,7,3,2,1] => [2,3,7,4,5,6,1] => [4,2,3,5,6,7,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[4,5,7,1,2,3,6] => [7,1,2,4,5,3,6] => [4,1,2,5,7,3,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,7,1,2,6,3] => [7,1,6,4,5,2,3] => [4,1,5,6,7,3,2] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[4,5,7,1,3,2,6] => [7,3,1,4,5,2,6] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[4,5,7,1,3,6,2] => [7,6,1,4,5,3,2] => [4,5,2,6,7,1,3] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[4,5,7,1,6,2,3] => [7,6,2,4,5,1,3] => [4,5,1,6,7,3,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[4,5,7,1,6,3,2] => [7,3,6,4,5,1,2] => [3,5,4,6,7,2,1] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[4,5,7,2,1,3,6] => [2,7,1,4,5,3,6] => [4,2,1,5,7,3,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,7,2,1,6,3] => [2,7,6,4,5,1,3] => [4,2,5,6,7,3,1] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[4,5,7,2,3,1,6] => [3,7,2,4,5,1,6] => [4,3,1,5,7,2,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,7,2,3,6,1] => [6,7,2,4,5,3,1] => [5,4,1,6,7,2,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,7,2,6,1,3] => [6,7,1,4,5,2,3] => [5,4,2,6,7,3,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,7,2,6,3,1] => [3,6,7,4,5,1,2] => [5,4,3,6,7,2,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,7,3,1,2,6] => [3,1,7,4,5,2,6] => [4,1,3,5,7,2,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,7,3,1,6,2] => [3,7,6,4,5,2,1] => [5,3,4,6,7,1,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,7,3,2,1,6] => [2,3,7,4,5,1,6] => [4,2,3,5,7,1,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,7,3,2,6,1] => [6,3,7,4,5,2,1] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[4,5,7,3,6,1,2] => [6,1,7,4,5,3,2] => [5,1,4,6,7,2,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,7,3,6,2,1] => [2,6,7,4,5,3,1] => [5,2,4,6,7,1,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,5,7,6,1,2,3] => [6,1,2,4,5,7,3] => [4,1,2,5,7,6,3] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,7,6,1,3,2] => [6,3,1,4,5,7,2] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[4,5,7,6,2,1,3] => [2,6,1,4,5,7,3] => [4,2,1,5,7,6,3] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,7,6,2,3,1] => [3,6,2,4,5,7,1] => [4,3,1,5,7,6,2] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,7,6,3,1,2] => [3,1,6,4,5,7,2] => [4,1,3,5,7,6,2] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,7,6,3,2,1] => [2,3,6,4,5,7,1] => [4,2,3,5,7,6,1] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,6,1,2,3,5,7] => [6,1,2,4,3,5,7] => [4,1,2,6,3,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,1,2,3,7,5] => [6,1,2,4,7,3,5] => [4,1,2,7,6,5,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,6,1,2,5,3,7] => [6,1,5,4,2,3,7] => [4,1,5,6,3,2,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[4,6,1,2,5,7,3] => [6,1,7,4,2,5,3] => [6,1,4,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,1,2,7,3,5] => [6,1,7,4,3,2,5] => [6,1,4,7,2,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,1,2,7,5,3] => [6,1,5,4,7,2,3] => [4,1,6,7,5,3,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,6,1,3,2,5,7] => [6,3,1,4,2,5,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[4,6,1,3,2,7,5] => [6,3,1,4,7,2,5] => [3,4,2,7,6,5,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[4,6,1,3,5,2,7] => [6,5,1,4,3,2,7] => [4,5,2,6,1,3,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[4,6,1,3,5,7,2] => [6,7,1,4,3,5,2] => [6,4,2,7,1,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,1,3,7,2,5] => [6,7,1,4,2,3,5] => [6,4,2,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,1,3,7,5,2] => [6,5,1,4,7,3,2] => [4,6,2,7,5,1,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,1,5,2,3,7] => [6,5,2,4,1,3,7] => [4,5,1,6,3,2,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[4,6,1,5,2,7,3] => [6,5,7,4,1,2,3] => [5,6,4,7,3,2,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[4,6,1,5,3,2,7] => [6,3,5,4,1,2,7] => [3,5,4,6,2,1,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[4,6,1,5,3,7,2] => [6,7,5,4,1,3,2] => [5,4,6,7,3,1,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,6,1,5,7,2,3] => [6,7,2,4,1,5,3] => [6,4,1,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,1,5,7,3,2] => [6,3,7,4,1,5,2] => [4,6,3,7,2,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,1,7,2,3,5] => [6,7,2,4,3,1,5] => [6,4,1,7,2,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,1,7,2,5,3] => [6,7,5,4,2,1,3] => [5,4,6,7,2,3,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,6,1,7,3,2,5] => [6,3,7,4,2,1,5] => [4,6,3,7,1,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,1,7,3,5,2] => [6,5,7,4,3,1,2] => [5,6,4,7,1,3,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[4,6,1,7,5,2,3] => [6,5,2,4,7,1,3] => [4,6,1,7,5,3,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,1,7,5,3,2] => [6,3,5,4,7,1,2] => [3,6,4,7,5,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[4,6,2,1,3,5,7] => [2,6,1,4,3,5,7] => [4,2,1,6,3,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,2,1,3,7,5] => [2,6,1,4,7,3,5] => [4,2,1,7,6,5,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,6,2,1,5,3,7] => [2,6,5,4,1,3,7] => [4,2,5,6,3,1,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[4,6,2,1,5,7,3] => [2,6,7,4,1,5,3] => [6,2,4,7,3,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,2,1,7,3,5] => [2,6,7,4,3,1,5] => [6,2,4,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,2,1,7,5,3] => [2,6,5,4,7,1,3] => [4,2,6,7,5,3,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,6,2,3,1,5,7] => [3,6,2,4,1,5,7] => [4,3,1,6,2,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,2,3,1,7,5] => [3,6,2,4,7,1,5] => [4,3,1,7,6,5,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,6,2,3,5,1,7] => [5,6,2,4,3,1,7] => [5,4,1,6,2,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,6,2,3,5,7,1] => [7,6,2,4,3,5,1] => [4,6,1,7,2,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,2,3,7,1,5] => [7,6,2,4,1,3,5] => [4,6,1,7,3,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,2,3,7,5,1] => [5,7,1,4,6,3,2] => [5,4,2,7,6,1,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,6,2,5,1,3,7] => [5,6,1,4,2,3,7] => [5,4,2,6,3,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,6,2,5,1,7,3] => [5,6,7,4,2,1,3] => [6,5,4,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,2,5,3,1,7] => [3,5,6,4,1,2,7] => [5,4,3,6,2,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,6,2,5,3,7,1] => [7,6,5,4,2,3,1] => [4,5,6,7,2,1,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[4,6,2,5,7,1,3] => [7,6,1,4,2,5,3] => [4,6,2,7,3,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,2,5,7,3,1] => [3,7,6,4,1,5,2] => [6,3,4,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,2,7,1,3,5] => [7,6,1,4,3,2,5] => [4,6,2,7,1,5,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,2,7,1,5,3] => [7,6,5,4,1,2,3] => [4,5,6,7,3,2,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[4,6,2,7,3,1,5] => [3,7,6,4,2,1,5] => [6,3,4,7,1,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,2,7,3,5,1] => [5,6,7,4,3,2,1] => [6,5,4,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,2,7,5,1,3] => [5,7,2,4,6,1,3] => [5,4,1,7,6,3,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,6,2,7,5,3,1] => [3,5,7,4,6,2,1] => [5,4,3,7,6,1,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,6,3,1,2,5,7] => [3,1,6,4,2,5,7] => [4,1,3,6,2,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,3,1,2,7,5] => [3,1,6,4,7,2,5] => [4,1,3,7,6,5,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,6,3,1,5,2,7] => [3,6,5,4,2,1,7] => [5,3,4,6,1,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,6,3,1,5,7,2] => [3,6,7,4,2,5,1] => [6,4,3,7,1,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,3,1,7,2,5] => [3,6,7,4,1,2,5] => [6,4,3,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,3,1,7,5,2] => [3,6,5,4,7,2,1] => [6,3,4,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,3,2,1,5,7] => [2,3,6,4,1,5,7] => [4,2,3,6,1,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,3,2,1,7,5] => [2,3,6,4,7,1,5] => [4,2,3,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,6,3,2,5,1,7] => [5,3,6,4,2,1,7] => [4,5,3,6,1,2,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[4,6,3,2,5,7,1] => [7,3,6,4,2,5,1] => [3,6,4,7,1,2,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[4,6,3,2,7,1,5] => [7,3,6,4,1,2,5] => [3,6,4,7,2,5,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[4,6,3,2,7,5,1] => [5,3,7,4,6,1,2] => [4,5,3,7,6,2,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,6,3,5,1,2,7] => [5,1,6,4,3,2,7] => [5,1,4,6,2,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,6,3,5,1,7,2] => [5,7,6,4,3,1,2] => [6,4,5,7,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,3,5,2,1,7] => [2,5,6,4,3,1,7] => [5,2,4,6,1,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,6,3,5,2,7,1] => [7,5,6,4,3,2,1] => [4,6,5,7,1,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,3,5,7,1,2] => [7,1,6,4,3,5,2] => [4,1,6,7,2,3,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,6,3,5,7,2,1] => [2,7,6,4,3,5,1] => [4,2,6,7,1,3,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,6,3,7,1,2,5] => [7,1,6,4,2,3,5] => [4,1,6,7,3,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,6,3,7,1,5,2] => [7,5,6,4,1,3,2] => [4,6,5,7,3,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,3,7,2,1,5] => [2,7,6,4,1,3,5] => [4,2,6,7,3,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,6,3,7,2,5,1] => [5,7,6,4,2,3,1] => [6,4,5,7,2,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,3,7,5,1,2] => [5,1,7,4,6,2,3] => [5,1,4,7,6,3,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,6,3,7,5,2,1] => [2,5,7,4,6,1,3] => [5,2,4,7,6,3,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,6,5,1,2,3,7] => [5,1,2,4,6,3,7] => [4,1,2,6,5,3,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,5,1,2,7,3] => [5,1,6,4,7,3,2] => [6,1,4,7,5,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,5,1,3,2,7] => [5,3,1,4,6,2,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[4,6,5,1,3,7,2] => [5,6,2,4,7,3,1] => [6,4,1,7,5,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,5,1,7,2,3] => [5,6,1,4,7,2,3] => [6,4,2,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,5,1,7,3,2] => [5,3,6,4,7,2,1] => [4,6,3,7,5,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,5,2,1,3,7] => [2,5,1,4,6,3,7] => [4,2,1,6,5,3,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,5,2,1,7,3] => [2,5,6,4,7,3,1] => [6,2,4,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,5,2,3,1,7] => [3,5,2,4,6,1,7] => [4,3,1,6,5,2,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,5,2,3,7,1] => [7,5,2,4,6,3,1] => [4,5,1,7,6,2,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,6,5,2,7,1,3] => [7,5,1,4,6,2,3] => [4,5,2,7,6,3,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,6,5,2,7,3,1] => [3,7,5,4,6,1,2] => [5,3,4,7,6,2,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,6,5,3,1,2,7] => [3,1,5,4,6,2,7] => [4,1,3,6,5,2,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,5,3,1,7,2] => [3,5,6,4,7,1,2] => [6,4,3,7,5,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,5,3,2,1,7] => [2,3,5,4,6,1,7] => [4,2,3,6,5,1,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,5,3,2,7,1] => [7,3,5,4,6,2,1] => [3,5,4,7,6,1,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[4,6,5,3,7,1,2] => [7,1,5,4,6,3,2] => [4,1,5,7,6,2,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,6,5,3,7,2,1] => [2,7,5,4,6,3,1] => [4,2,5,7,6,1,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,6,5,7,1,2,3] => [7,1,2,4,6,5,3] => [4,1,2,6,7,3,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,6,5,7,1,3,2] => [7,3,1,4,6,5,2] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[4,6,5,7,2,1,3] => [2,7,1,4,6,5,3] => [4,2,1,6,7,3,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,6,5,7,2,3,1] => [3,7,2,4,6,5,1] => [4,3,1,6,7,2,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,6,5,7,3,1,2] => [3,1,7,4,6,5,2] => [4,1,3,6,7,2,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,6,5,7,3,2,1] => [2,3,7,4,6,5,1] => [4,2,3,6,7,1,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,6,7,1,2,3,5] => [7,1,2,4,3,6,5] => [4,1,2,6,3,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,6,7,1,2,5,3] => [7,1,5,4,2,6,3] => [4,1,5,6,3,7,2] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[4,6,7,1,3,2,5] => [7,3,1,4,2,6,5] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[4,6,7,1,3,5,2] => [7,5,1,4,3,6,2] => [4,5,2,6,1,7,3] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[4,6,7,1,5,2,3] => [7,5,2,4,1,6,3] => [4,5,1,6,3,7,2] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[4,6,7,1,5,3,2] => [7,3,5,4,1,6,2] => [3,5,4,6,2,7,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[4,6,7,2,1,3,5] => [2,7,1,4,3,6,5] => [4,2,1,6,3,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,6,7,2,1,5,3] => [2,7,5,4,1,6,3] => [4,2,5,6,3,7,1] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[4,6,7,2,3,1,5] => [3,7,2,4,1,6,5] => [4,3,1,6,2,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,6,7,2,3,5,1] => [5,7,2,4,3,6,1] => [5,4,1,6,2,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,6,7,2,5,1,3] => [5,7,1,4,2,6,3] => [5,4,2,6,3,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,6,7,2,5,3,1] => [3,5,7,4,1,6,2] => [5,4,3,6,2,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,6,7,3,1,2,5] => [3,1,7,4,2,6,5] => [4,1,3,6,2,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,6,7,3,1,5,2] => [3,7,5,4,2,6,1] => [5,3,4,6,1,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,6,7,3,2,1,5] => [2,3,7,4,1,6,5] => [4,2,3,6,1,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,6,7,3,2,5,1] => [5,3,7,4,2,6,1] => [4,5,3,6,1,7,2] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[4,6,7,3,5,1,2] => [5,1,7,4,3,6,2] => [5,1,4,6,2,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,6,7,3,5,2,1] => [2,5,7,4,3,6,1] => [5,2,4,6,1,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,6,7,5,1,2,3] => [5,1,2,4,7,6,3] => [4,1,2,6,5,7,3] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,6,7,5,1,3,2] => [5,3,1,4,7,6,2] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[4,6,7,5,2,1,3] => [2,5,1,4,7,6,3] => [4,2,1,6,5,7,3] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,6,7,5,2,3,1] => [3,5,2,4,7,6,1] => [4,3,1,6,5,7,2] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,6,7,5,3,1,2] => [3,1,5,4,7,6,2] => [4,1,3,6,5,7,2] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,6,7,5,3,2,1] => [2,3,5,4,7,6,1] => [4,2,3,6,5,7,1] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,7,1,2,3,5,6] => [7,1,2,4,3,5,6] => [4,1,2,7,3,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,1,2,3,6,5] => [7,1,2,4,6,3,5] => [4,1,2,6,7,5,3] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,7,1,2,5,3,6] => [7,1,5,4,2,3,6] => [4,1,5,7,3,2,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,7,1,2,5,6,3] => [7,1,6,4,2,5,3] => [4,1,6,7,3,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,7,1,2,6,3,5] => [7,1,6,4,3,2,5] => [4,1,6,7,2,5,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,7,1,2,6,5,3] => [7,1,5,4,6,2,3] => [4,1,5,7,6,3,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,7,1,3,2,5,6] => [7,3,1,4,2,5,6] => [3,4,2,7,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[4,7,1,3,2,6,5] => [7,3,1,4,6,2,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[4,7,1,3,5,2,6] => [7,5,1,4,3,2,6] => [4,5,2,7,1,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,7,1,3,5,6,2] => [7,6,1,4,3,5,2] => [4,6,2,7,1,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,1,3,6,2,5] => [7,6,1,4,2,3,5] => [4,6,2,7,3,5,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,1,3,6,5,2] => [7,5,1,4,6,3,2] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,7,1,5,2,3,6] => [7,5,2,4,1,3,6] => [4,5,1,7,3,2,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,7,1,5,2,6,3] => [7,5,6,4,1,2,3] => [4,6,5,7,3,2,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,1,5,3,2,6] => [7,3,5,4,1,2,6] => [3,5,4,7,2,1,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[4,7,1,5,3,6,2] => [7,6,5,4,1,3,2] => [4,5,6,7,3,1,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[4,7,1,5,6,2,3] => [7,6,2,4,1,5,3] => [4,6,1,7,3,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,1,5,6,3,2] => [7,3,6,4,1,5,2] => [3,6,4,7,2,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[4,7,1,6,2,3,5] => [7,6,2,4,3,1,5] => [4,6,1,7,2,5,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,1,6,2,5,3] => [7,6,5,4,2,1,3] => [4,5,6,7,2,3,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[4,7,1,6,3,2,5] => [7,3,6,4,2,1,5] => [3,6,4,7,1,5,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[4,7,1,6,3,5,2] => [7,5,6,4,3,1,2] => [4,6,5,7,1,3,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,1,6,5,2,3] => [7,5,2,4,6,1,3] => [4,5,1,7,6,3,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,7,1,6,5,3,2] => [7,3,5,4,6,1,2] => [3,5,4,7,6,2,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[4,7,2,1,3,5,6] => [2,7,1,4,3,5,6] => [4,2,1,7,3,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,2,1,3,6,5] => [2,7,1,4,6,3,5] => [4,2,1,6,7,5,3] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,7,2,1,5,3,6] => [2,7,5,4,1,3,6] => [4,2,5,7,3,1,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,7,2,1,5,6,3] => [2,7,6,4,1,5,3] => [4,2,6,7,3,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,7,2,1,6,3,5] => [2,7,6,4,3,1,5] => [4,2,6,7,1,5,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,7,2,1,6,5,3] => [2,7,5,4,6,1,3] => [4,2,5,7,6,3,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,7,2,3,1,5,6] => [3,7,2,4,1,5,6] => [4,3,1,7,2,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,2,3,1,6,5] => [3,7,2,4,6,1,5] => [4,3,1,6,7,5,2] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,7,2,3,5,1,6] => [5,7,2,4,3,1,6] => [5,4,1,7,2,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,2,3,5,6,1] => [6,7,2,4,3,5,1] => [6,4,1,7,2,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,3,6,1,5] => [6,7,2,4,1,3,5] => [6,4,1,7,3,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,3,6,5,1] => [5,6,1,4,7,3,2] => [6,4,2,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,5,1,3,6] => [5,7,1,4,2,3,6] => [5,4,2,7,3,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,2,5,1,6,3] => [5,7,6,4,2,1,3] => [6,4,5,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,5,3,1,6] => [3,5,7,4,1,2,6] => [5,4,3,7,2,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,2,5,3,6,1] => [6,7,5,4,2,3,1] => [5,4,6,7,2,1,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,7,2,5,6,1,3] => [6,7,1,4,2,5,3] => [6,4,2,7,3,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,5,6,3,1] => [3,6,7,4,1,5,2] => [6,4,3,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,6,1,3,5] => [6,7,1,4,3,2,5] => [6,4,2,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,6,1,5,3] => [6,7,5,4,1,2,3] => [5,4,6,7,3,2,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,7,2,6,3,1,5] => [3,6,7,4,2,1,5] => [6,4,3,7,1,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,6,3,5,1] => [5,7,6,4,3,2,1] => [6,4,5,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,6,5,1,3] => [5,6,2,4,7,1,3] => [6,4,1,7,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,2,6,5,3,1] => [3,5,6,4,7,2,1] => [6,4,3,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,1,2,5,6] => [3,1,7,4,2,5,6] => [4,1,3,7,2,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,3,1,2,6,5] => [3,1,7,4,6,2,5] => [4,1,3,6,7,5,2] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,7,3,1,5,2,6] => [3,7,5,4,2,1,6] => [5,3,4,7,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,3,1,5,6,2] => [3,7,6,4,2,5,1] => [6,3,4,7,1,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,1,6,2,5] => [3,7,6,4,1,2,5] => [6,3,4,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,1,6,5,2] => [3,7,5,4,6,2,1] => [5,3,4,7,6,1,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,3,2,1,5,6] => [2,3,7,4,1,5,6] => [4,2,3,7,1,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,3,2,1,6,5] => [2,3,7,4,6,1,5] => [4,2,3,6,7,5,1] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[4,7,3,2,5,1,6] => [5,3,7,4,2,1,6] => [4,5,3,7,1,2,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,7,3,2,5,6,1] => [6,3,7,4,2,5,1] => [4,6,3,7,1,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,3,2,6,1,5] => [6,3,7,4,1,2,5] => [4,6,3,7,2,5,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,3,2,6,5,1] => [5,3,6,4,7,1,2] => [4,6,3,7,5,2,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,3,5,1,2,6] => [5,1,7,4,3,2,6] => [5,1,4,7,2,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,3,5,1,6,2] => [5,6,7,4,3,1,2] => [6,5,4,7,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,5,2,1,6] => [2,5,7,4,3,1,6] => [5,2,4,7,1,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,3,5,2,6,1] => [6,5,7,4,3,2,1] => [5,6,4,7,1,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[4,7,3,5,6,1,2] => [6,1,7,4,3,5,2] => [6,1,4,7,2,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,5,6,2,1] => [2,6,7,4,3,5,1] => [6,2,4,7,1,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,6,1,2,5] => [6,1,7,4,2,3,5] => [6,1,4,7,3,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,6,1,5,2] => [6,5,7,4,1,3,2] => [5,6,4,7,3,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[4,7,3,6,2,1,5] => [2,6,7,4,1,3,5] => [6,2,4,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,6,2,5,1] => [5,6,7,4,2,3,1] => [6,5,4,7,2,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,6,5,1,2] => [5,1,6,4,7,2,3] => [6,1,4,7,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,3,6,5,2,1] => [2,5,6,4,7,1,3] => [6,2,4,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,5,1,2,3,6] => [5,1,2,4,7,3,6] => [4,1,2,7,5,3,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,5,1,2,6,3] => [5,1,7,4,6,3,2] => [5,1,4,7,6,2,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,5,1,3,2,6] => [5,3,1,4,7,2,6] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[4,7,5,1,3,6,2] => [5,7,2,4,6,3,1] => [5,4,1,7,6,2,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,5,1,6,2,3] => [5,7,1,4,6,2,3] => [5,4,2,7,6,3,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,5,1,6,3,2] => [5,3,7,4,6,2,1] => [4,5,3,7,6,1,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,7,5,2,1,3,6] => [2,5,1,4,7,3,6] => [4,2,1,7,5,3,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,5,2,1,6,3] => [2,5,7,4,6,3,1] => [5,2,4,7,6,1,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,5,2,3,1,6] => [3,5,2,4,7,1,6] => [4,3,1,7,5,2,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,5,2,3,6,1] => [6,5,2,4,7,3,1] => [4,6,1,7,5,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,5,2,6,1,3] => [6,5,1,4,7,2,3] => [4,6,2,7,5,3,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,5,2,6,3,1] => [3,6,5,4,7,1,2] => [6,3,4,7,5,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,5,3,1,2,6] => [3,1,5,4,7,2,6] => [4,1,3,7,5,2,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,5,3,1,6,2] => [3,5,7,4,6,1,2] => [5,4,3,7,6,2,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,5,3,2,1,6] => [2,3,5,4,7,1,6] => [4,2,3,7,5,1,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,5,3,2,6,1] => [6,3,5,4,7,2,1] => [3,6,4,7,5,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[4,7,5,3,6,1,2] => [6,1,5,4,7,3,2] => [4,1,6,7,5,2,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,7,5,3,6,2,1] => [2,6,5,4,7,3,1] => [4,2,6,7,5,1,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,7,5,6,1,2,3] => [6,1,2,4,7,5,3] => [4,1,2,7,6,3,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,5,6,1,3,2] => [6,3,1,4,7,5,2] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[4,7,5,6,2,1,3] => [2,6,1,4,7,5,3] => [4,2,1,7,6,3,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,5,6,2,3,1] => [3,6,2,4,7,5,1] => [4,3,1,7,6,2,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,5,6,3,1,2] => [3,1,6,4,7,5,2] => [4,1,3,7,6,2,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,5,6,3,2,1] => [2,3,6,4,7,5,1] => [4,2,3,7,6,1,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,1,2,3,5] => [6,1,2,4,3,7,5] => [4,1,2,7,3,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,1,2,5,3] => [6,1,5,4,2,7,3] => [4,1,5,7,3,6,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,7,6,1,3,2,5] => [6,3,1,4,2,7,5] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[4,7,6,1,3,5,2] => [6,5,1,4,3,7,2] => [4,5,2,7,1,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,7,6,1,5,2,3] => [6,5,2,4,1,7,3] => [4,5,1,7,3,6,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,7,6,1,5,3,2] => [6,3,5,4,1,7,2] => [3,5,4,7,2,6,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[4,7,6,2,1,3,5] => [2,6,1,4,3,7,5] => [4,2,1,7,3,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,2,1,5,3] => [2,6,5,4,1,7,3] => [4,2,5,7,3,6,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[4,7,6,2,3,1,5] => [3,6,2,4,1,7,5] => [4,3,1,7,2,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,2,3,5,1] => [5,6,2,4,3,7,1] => [5,4,1,7,2,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,6,2,5,1,3] => [5,6,1,4,2,7,3] => [5,4,2,7,3,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,6,2,5,3,1] => [3,5,6,4,1,7,2] => [5,4,3,7,2,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,6,3,1,2,5] => [3,1,6,4,2,7,5] => [4,1,3,7,2,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,3,1,5,2] => [3,6,5,4,2,7,1] => [5,3,4,7,1,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,6,3,2,1,5] => [2,3,6,4,1,7,5] => [4,2,3,7,1,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,3,2,5,1] => [5,3,6,4,2,7,1] => [4,5,3,7,1,6,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,7,6,3,5,1,2] => [5,1,6,4,3,7,2] => [5,1,4,7,2,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,6,3,5,2,1] => [2,5,6,4,3,7,1] => [5,2,4,7,1,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,6,5,1,2,3] => [5,1,2,4,6,7,3] => [4,1,2,7,5,6,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,5,1,3,2] => [5,3,1,4,6,7,2] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[4,7,6,5,2,1,3] => [2,5,1,4,6,7,3] => [4,2,1,7,5,6,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,5,2,3,1] => [3,5,2,4,6,7,1] => [4,3,1,7,5,6,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,5,3,1,2] => [3,1,5,4,6,7,2] => [4,1,3,7,5,6,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,7,6,5,3,2,1] => [2,3,5,4,6,7,1] => [4,2,3,7,5,6,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,1,2,3,4,7,6] => [5,1,2,3,4,7,6] => [5,1,2,3,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,1,2,3,6,4,7] => [5,1,2,6,3,4,7] => [6,1,2,5,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,1,2,3,6,7,4] => [5,1,2,7,3,6,4] => [6,1,2,5,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,2,3,7,4,6] => [5,1,2,7,3,4,6] => [7,1,2,5,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,3,7,6,4] => [5,1,2,6,3,7,4] => [7,1,2,5,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,4,3,6,7] => [5,1,4,2,3,6,7] => [4,1,5,3,2,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[5,1,2,4,3,7,6] => [5,1,4,2,3,7,6] => [4,1,5,3,2,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[5,1,2,4,6,3,7] => [5,1,6,2,4,3,7] => [6,1,5,3,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,1,2,4,6,7,3] => [5,1,7,2,4,6,3] => [6,1,5,3,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,2,4,7,3,6] => [5,1,7,2,4,3,6] => [7,1,5,3,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,4,7,6,3] => [5,1,6,2,4,7,3] => [7,1,5,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,6,3,4,7] => [5,1,6,3,2,4,7] => [6,1,5,2,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,1,2,6,3,7,4] => [5,1,6,7,2,3,4] => [7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,6,4,3,7] => [5,1,4,6,2,3,7] => [5,1,6,4,3,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,1,2,6,4,7,3] => [5,1,7,6,2,4,3] => [7,1,5,6,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,6,7,3,4] => [5,1,7,3,2,6,4] => [6,1,5,2,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,2,6,7,4,3] => [5,1,4,7,2,6,3] => [5,1,6,4,3,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[5,1,2,7,3,4,6] => [5,1,7,3,2,4,6] => [7,1,5,2,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,3,6,4] => [5,1,7,6,2,3,4] => [7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,4,3,6] => [5,1,4,7,2,3,6] => [5,1,7,4,3,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,1,2,7,4,6,3] => [5,1,6,7,2,4,3] => [7,1,6,5,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,6,3,4] => [5,1,6,3,2,7,4] => [7,1,5,2,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,6,4,3] => [5,1,4,6,2,7,3] => [5,1,7,4,3,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,1,3,2,4,6,7] => [5,3,1,2,4,6,7] => [3,5,2,1,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[5,1,3,2,4,7,6] => [5,3,1,2,4,7,6] => [3,5,2,1,4,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[5,1,3,2,6,4,7] => [5,3,1,6,2,4,7] => [3,6,2,5,4,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[5,1,3,2,6,7,4] => [5,3,1,7,2,6,4] => [3,6,2,5,4,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[5,1,3,2,7,4,6] => [5,3,1,7,2,4,6] => [3,7,2,5,4,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,1,3,2,7,6,4] => [5,3,1,6,2,7,4] => [3,7,2,5,4,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,1,3,4,2,6,7] => [5,4,1,3,2,6,7] => [4,5,2,1,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[5,1,3,4,2,7,6] => [5,4,1,3,2,7,6] => [4,5,2,1,3,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[5,1,3,4,6,2,7] => [5,6,1,3,4,2,7] => [6,5,2,1,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,1,3,4,6,7,2] => [5,7,1,3,4,6,2] => [6,5,2,1,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,3,4,7,2,6] => [5,7,1,3,4,2,6] => [7,5,2,1,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,4,7,6,2] => [5,6,1,3,4,7,2] => [7,5,2,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,2,4,7] => [5,6,1,2,3,4,7] => [6,5,2,3,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,1,3,6,2,7,4] => [5,6,1,7,3,2,4] => [7,6,2,5,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,4,2,7] => [5,4,1,6,3,2,7] => [5,6,2,4,1,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,1,3,6,4,7,2] => [5,7,1,6,3,4,2] => [7,5,2,6,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,7,2,4] => [5,7,1,2,3,6,4] => [6,5,2,3,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,3,6,7,4,2] => [5,4,1,7,3,6,2] => [5,6,2,4,1,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,1,3,7,2,4,6] => [5,7,1,2,3,4,6] => [7,5,2,3,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,2,6,4] => [5,7,1,6,3,2,4] => [7,5,2,6,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,4,2,6] => [5,4,1,7,3,2,6] => [5,7,2,4,1,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,3,7,4,6,2] => [5,6,1,7,3,4,2] => [7,6,2,5,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,6,2,4] => [5,6,1,2,3,7,4] => [7,5,2,3,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,6,4,2] => [5,4,1,6,3,7,2] => [5,7,2,4,1,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,4,2,3,6,7] => [5,4,2,1,3,6,7] => [4,5,1,3,2,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[5,1,4,2,3,7,6] => [5,4,2,1,3,7,6] => [4,5,1,3,2,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[5,1,4,2,6,3,7] => [5,4,6,1,2,3,7] => [5,6,4,3,2,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,1,4,2,6,7,3] => [5,4,7,1,2,6,3] => [5,6,4,3,2,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,1,4,2,7,3,6] => [5,4,7,1,2,3,6] => [5,7,4,3,2,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,4,2,7,6,3] => [5,4,6,1,2,7,3] => [5,7,4,3,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,4,3,2,6,7] => [5,3,4,1,2,6,7] => [3,5,4,2,1,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[5,1,4,3,2,7,6] => [5,3,4,1,2,7,6] => [3,5,4,2,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[5,1,4,3,6,2,7] => [5,6,4,1,3,2,7] => [5,4,6,3,1,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,1,4,3,6,7,2] => [5,7,4,1,3,6,2] => [5,4,6,3,1,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[5,1,4,3,7,2,6] => [5,7,4,1,3,2,6] => [5,4,7,3,1,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,1,4,3,7,6,2] => [5,6,4,1,3,7,2] => [5,4,7,3,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,1,4,6,2,3,7] => [5,6,2,1,4,3,7] => [6,5,1,3,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,1,4,6,2,7,3] => [5,6,7,1,4,2,3] => [7,6,5,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,6,3,2,7] => [5,3,6,1,4,2,7] => [5,6,3,2,1,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,1,4,6,3,7,2] => [5,7,6,1,4,3,2] => [7,5,6,3,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,6,7,2,3] => [5,7,2,1,4,6,3] => [6,5,1,3,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,4,6,7,3,2] => [5,3,7,1,4,6,2] => [5,6,3,2,1,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,1,4,7,2,3,6] => [5,7,2,1,4,3,6] => [7,5,1,3,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,2,6,3] => [5,7,6,1,4,2,3] => [7,5,6,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,3,2,6] => [5,3,7,1,4,2,6] => [5,7,3,2,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,4,7,3,6,2] => [5,6,7,1,4,3,2] => [7,6,5,3,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,6,2,3] => [5,6,2,1,4,7,3] => [7,5,1,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,6,3,2] => [5,3,6,1,4,7,2] => [5,7,3,2,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,6,2,3,4,7] => [5,6,2,3,1,4,7] => [6,5,1,2,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,1,6,2,3,7,4] => [5,6,2,7,1,3,4] => [7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,2,4,3,7] => [5,6,4,2,1,3,7] => [5,4,6,2,3,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,1,6,2,4,7,3] => [5,6,7,2,1,4,3] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,2,7,3,4] => [5,6,7,3,1,2,4] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,2,7,4,3] => [5,6,4,7,1,2,3] => [6,5,7,4,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,1,6,3,2,4,7] => [5,3,6,2,1,4,7] => [5,6,3,1,4,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,1,6,3,2,7,4] => [5,3,6,7,1,2,4] => [6,7,3,5,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,1,6,3,4,2,7] => [5,4,6,3,1,2,7] => [5,6,4,1,3,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,1,6,3,4,7,2] => [5,7,6,3,1,4,2] => [7,5,6,1,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,3,7,2,4] => [5,7,6,2,1,3,4] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,3,7,4,2] => [5,4,7,6,1,2,3] => [6,7,4,5,3,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,1,6,4,2,3,7] => [5,4,2,6,1,3,7] => [5,6,1,4,3,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,1,6,4,2,7,3] => [5,4,6,7,1,3,2] => [6,7,5,4,3,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,1,6,4,3,2,7] => [5,3,4,6,1,2,7] => [3,6,5,4,2,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[5,1,6,4,3,7,2] => [5,7,4,6,1,3,2] => [6,4,7,5,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,1,6,4,7,2,3] => [5,7,2,6,1,4,3] => [7,5,1,6,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,4,7,3,2] => [5,3,7,6,1,4,2] => [5,7,3,6,4,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,6,7,2,3,4] => [5,7,2,3,1,6,4] => [6,5,1,2,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,6,7,2,4,3] => [5,7,4,2,1,6,3] => [5,4,6,2,3,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[5,1,6,7,3,2,4] => [5,3,7,2,1,6,4] => [5,6,3,1,4,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,1,6,7,3,4,2] => [5,4,7,3,1,6,2] => [5,6,4,1,3,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,1,6,7,4,2,3] => [5,4,2,7,1,6,3] => [5,6,1,4,3,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,1,6,7,4,3,2] => [5,3,4,7,1,6,2] => [3,6,5,4,2,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[5,1,7,2,3,4,6] => [5,7,2,3,1,4,6] => [7,5,1,2,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,3,6,4] => [5,7,2,6,1,3,4] => [7,5,1,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,4,3,6] => [5,7,4,2,1,3,6] => [5,4,7,2,3,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,1,7,2,4,6,3] => [5,7,6,2,1,4,3] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,6,3,4] => [5,7,6,3,1,2,4] => [7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,6,4,3] => [5,7,4,6,1,2,3] => [6,4,7,5,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,1,7,3,2,4,6] => [5,3,7,2,1,4,6] => [5,7,3,1,4,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,7,3,2,6,4] => [5,3,7,6,1,2,4] => [5,7,3,6,4,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,7,3,4,2,6] => [5,4,7,3,1,2,6] => [5,7,4,1,3,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,7,3,4,6,2] => [5,6,7,3,1,4,2] => [7,6,5,1,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,3,6,2,4] => [5,6,7,2,1,3,4] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,3,6,4,2] => [5,4,6,7,1,2,3] => [6,7,5,4,3,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,1,7,4,2,3,6] => [5,4,2,7,1,3,6] => [5,7,1,4,3,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,7,4,2,6,3] => [5,4,7,6,1,3,2] => [6,7,4,5,3,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,1,7,4,3,2,6] => [5,3,4,7,1,2,6] => [3,7,5,4,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,1,7,4,3,6,2] => [5,6,4,7,1,3,2] => [6,5,7,4,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,1,7,4,6,2,3] => [5,6,2,7,1,4,3] => [7,6,1,5,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,4,6,3,2] => [5,3,6,7,1,4,2] => [6,7,3,5,4,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,1,7,6,2,3,4] => [5,6,2,3,1,7,4] => [7,5,1,2,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,6,2,4,3] => [5,6,4,2,1,7,3] => [5,4,7,2,3,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,1,7,6,3,2,4] => [5,3,6,2,1,7,4] => [5,7,3,1,4,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,7,6,3,4,2] => [5,4,6,3,1,7,2] => [5,7,4,1,3,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,7,6,4,2,3] => [5,4,2,6,1,7,3] => [5,7,1,4,3,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,7,6,4,3,2] => [5,3,4,6,1,7,2] => [3,7,5,4,2,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => [5,2,1,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,2,1,3,4,7,6] => [2,5,1,3,4,7,6] => [5,2,1,3,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,2,1,3,6,4,7] => [2,5,1,6,3,4,7] => [6,2,1,5,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,1,3,6,7,4] => [2,5,1,7,3,6,4] => [6,2,1,5,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,1,3,7,4,6] => [2,5,1,7,3,4,6] => [7,2,1,5,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,3,7,6,4] => [2,5,1,6,3,7,4] => [7,2,1,5,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,4,3,6,7] => [2,5,4,1,3,6,7] => [4,2,5,3,1,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[5,2,1,4,3,7,6] => [2,5,4,1,3,7,6] => [4,2,5,3,1,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[5,2,1,4,6,3,7] => [2,5,6,1,4,3,7] => [6,2,5,3,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,1,4,6,7,3] => [2,5,7,1,4,6,3] => [6,2,5,3,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,1,4,7,3,6] => [2,5,7,1,4,3,6] => [7,2,5,3,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,4,7,6,3] => [2,5,6,1,4,7,3] => [7,2,5,3,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,3,4,7] => [2,5,6,3,1,4,7] => [6,2,5,1,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,1,6,3,7,4] => [2,5,6,7,1,3,4] => [7,2,6,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,4,3,7] => [2,5,4,6,1,3,7] => [5,2,6,4,3,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,2,1,6,4,7,3] => [2,5,7,6,1,4,3] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,7,3,4] => [2,5,7,3,1,6,4] => [6,2,5,1,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,1,6,7,4,3] => [2,5,4,7,1,6,3] => [5,2,6,4,3,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[5,2,1,7,3,4,6] => [2,5,7,3,1,4,6] => [7,2,5,1,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,3,6,4] => [2,5,7,6,1,3,4] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,4,3,6] => [2,5,4,7,1,3,6] => [5,2,7,4,3,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,2,1,7,4,6,3] => [2,5,6,7,1,4,3] => [7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,6,3,4] => [2,5,6,3,1,7,4] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,6,4,3] => [2,5,4,6,1,7,3] => [5,2,7,4,3,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,2,3,1,4,6,7] => [3,5,2,1,4,6,7] => [5,3,1,2,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,2,3,1,4,7,6] => [3,5,2,1,4,7,6] => [5,3,1,2,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,2,3,1,6,4,7] => [3,5,2,6,1,4,7] => [6,3,1,5,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,3,1,6,7,4] => [3,5,2,7,1,6,4] => [6,3,1,5,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,3,1,7,4,6] => [3,5,2,7,1,4,6] => [7,3,1,5,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,1,7,6,4] => [3,5,2,6,1,7,4] => [7,3,1,5,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,4,1,6,7] => [4,5,2,3,1,6,7] => [5,4,1,2,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,2,3,4,1,7,6] => [4,5,2,3,1,7,6] => [5,4,1,2,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,2,3,4,6,1,7] => [6,5,2,3,4,1,7] => [5,6,1,2,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,2,3,4,6,7,1] => [7,5,2,3,4,6,1] => [5,6,1,2,3,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,2,3,4,7,1,6] => [7,5,2,3,4,1,6] => [5,7,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,3,4,7,6,1] => [6,5,2,3,4,7,1] => [5,7,1,2,3,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,3,6,1,4,7] => [6,5,2,1,3,4,7] => [5,6,1,3,4,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,2,3,6,1,7,4] => [6,5,2,7,3,1,4] => [6,7,1,5,3,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,3,6,4,1,7] => [4,6,1,5,3,2,7] => [6,4,2,5,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,3,6,4,7,1] => [7,5,2,6,3,4,1] => [5,7,1,6,3,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,3,6,7,1,4] => [7,5,2,1,3,6,4] => [5,6,1,3,4,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,2,3,6,7,4,1] => [4,7,1,5,3,6,2] => [6,4,2,5,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,3,7,1,4,6] => [7,5,2,1,3,4,6] => [5,7,1,3,4,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,3,7,1,6,4] => [7,5,2,6,3,1,4] => [5,7,1,6,3,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,3,7,4,1,6] => [4,7,1,5,3,2,6] => [7,4,2,5,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,7,4,6,1] => [6,5,2,7,3,4,1] => [6,7,1,5,3,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,3,7,6,1,4] => [6,5,2,1,3,7,4] => [5,7,1,3,4,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,3,7,6,4,1] => [4,6,1,5,3,7,2] => [7,4,2,5,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,1,3,6,7] => [4,5,1,2,3,6,7] => [5,4,2,3,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,2,4,1,3,7,6] => [4,5,1,2,3,7,6] => [5,4,2,3,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,2,4,1,6,3,7] => [4,5,6,2,1,3,7] => [6,5,4,2,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,4,1,6,7,3] => [4,5,7,2,1,6,3] => [6,5,4,2,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,4,1,7,3,6] => [4,5,7,2,1,3,6] => [7,5,4,2,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,1,7,6,3] => [4,5,6,2,1,7,3] => [7,5,4,2,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,3,1,6,7] => [3,4,5,1,2,6,7] => [5,4,3,2,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,2,4,3,1,7,6] => [3,4,5,1,2,7,6] => [5,4,3,2,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,2,4,3,6,1,7] => [6,5,4,2,3,1,7] => [4,5,6,2,1,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[5,2,4,3,6,7,1] => [7,5,4,2,3,6,1] => [4,5,6,2,1,7,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[5,2,4,3,7,1,6] => [7,5,4,2,3,1,6] => [4,5,7,2,1,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[5,2,4,3,7,6,1] => [6,5,4,2,3,7,1] => [4,5,7,2,1,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[5,2,4,6,1,3,7] => [6,5,1,2,4,3,7] => [5,6,2,3,1,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,2,4,6,1,7,3] => [6,5,7,2,4,1,3] => [6,7,5,2,1,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,4,6,3,1,7] => [3,6,5,1,4,2,7] => [6,3,5,2,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,4,6,3,7,1] => [7,5,6,2,4,3,1] => [5,7,6,2,1,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,4,6,7,1,3] => [7,5,1,2,4,6,3] => [5,6,2,3,1,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,2,4,6,7,3,1] => [3,7,5,1,4,6,2] => [6,3,5,2,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,4,7,1,3,6] => [7,5,1,2,4,3,6] => [5,7,2,3,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,4,7,1,6,3] => [7,5,6,2,4,1,3] => [5,7,6,2,1,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,4,7,3,1,6] => [3,7,5,1,4,2,6] => [7,3,5,2,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,7,3,6,1] => [6,5,7,2,4,3,1] => [6,7,5,2,1,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,4,7,6,1,3] => [6,5,1,2,4,7,3] => [5,7,2,3,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,4,7,6,3,1] => [3,6,5,1,4,7,2] => [7,3,5,2,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,1,3,4,7] => [6,5,1,3,2,4,7] => [5,6,2,1,4,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,2,6,1,3,7,4] => [6,5,1,7,2,3,4] => [6,7,2,5,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,6,1,4,3,7] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[5,2,6,1,4,7,3] => [6,5,7,1,2,4,3] => [6,7,5,3,4,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,6,1,7,3,4] => [6,5,7,3,2,1,4] => [6,7,5,1,3,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,6,1,7,4,3] => [6,5,4,7,2,1,3] => [5,6,7,4,2,3,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[5,2,6,3,1,4,7] => [3,6,5,2,1,4,7] => [6,3,5,1,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,6,3,1,7,4] => [3,6,5,7,1,2,4] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,3,4,1,7] => [4,5,6,3,2,1,7] => [6,5,4,1,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,6,3,4,7,1] => [7,5,6,3,2,4,1] => [5,7,6,1,3,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,6,3,7,1,4] => [7,5,6,1,2,3,4] => [5,7,6,3,4,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,6,3,7,4,1] => [4,7,5,6,3,1,2] => [7,4,6,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,4,1,3,7] => [4,6,2,5,1,3,7] => [6,4,1,5,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,6,4,1,7,3] => [4,6,5,7,3,2,1] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,4,3,1,7] => [3,4,6,5,2,1,7] => [6,4,3,5,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,6,4,3,7,1] => [7,5,4,6,2,3,1] => [4,6,7,5,2,1,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[5,2,6,4,7,1,3] => [7,5,1,6,2,4,3] => [5,7,2,6,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,6,4,7,3,1] => [3,7,5,6,1,4,2] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,7,1,3,4] => [7,5,1,3,2,6,4] => [5,6,2,1,4,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,2,6,7,1,4,3] => [7,5,4,1,2,6,3] => [4,5,6,3,2,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[5,2,6,7,3,1,4] => [3,7,5,2,1,6,4] => [6,3,5,1,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,6,7,3,4,1] => [4,5,7,3,2,6,1] => [6,5,4,1,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,6,7,4,1,3] => [4,7,2,5,1,6,3] => [6,4,1,5,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,6,7,4,3,1] => [3,4,7,5,2,6,1] => [6,4,3,5,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,7,1,3,4,6] => [7,5,1,3,2,4,6] => [5,7,2,1,4,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,7,1,3,6,4] => [7,5,1,6,2,3,4] => [5,7,2,6,4,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,7,1,4,3,6] => [7,5,4,1,2,3,6] => [4,5,7,3,2,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[5,2,7,1,4,6,3] => [7,5,6,1,2,4,3] => [5,7,6,3,4,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,7,1,6,3,4] => [7,5,6,3,2,1,4] => [5,7,6,1,3,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,7,1,6,4,3] => [7,5,4,6,2,1,3] => [4,6,7,5,2,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[5,2,7,3,1,4,6] => [3,7,5,2,1,4,6] => [7,3,5,1,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,3,1,6,4] => [3,7,5,6,1,2,4] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,3,4,1,6] => [4,5,7,3,2,1,6] => [7,5,4,1,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,3,4,6,1] => [6,5,7,3,2,4,1] => [6,7,5,1,3,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,7,3,6,1,4] => [6,5,7,1,2,3,4] => [6,7,5,3,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,7,3,6,4,1] => [4,6,5,7,3,1,2] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,1,3,6] => [4,7,2,5,1,3,6] => [7,4,1,5,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,1,6,3] => [4,7,5,6,3,2,1] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,3,1,6] => [3,4,7,5,2,1,6] => [7,4,3,5,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,3,6,1] => [6,5,4,7,2,3,1] => [5,6,7,4,2,1,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[5,2,7,4,6,1,3] => [6,5,1,7,2,4,3] => [6,7,2,5,4,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,7,4,6,3,1] => [3,6,5,7,1,4,2] => [7,3,6,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,1,3,4] => [6,5,1,3,2,7,4] => [5,7,2,1,4,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,7,6,1,4,3] => [6,5,4,1,2,7,3] => [4,5,7,3,2,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[5,2,7,6,3,1,4] => [3,6,5,2,1,7,4] => [7,3,5,1,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,3,4,1] => [4,5,6,3,2,7,1] => [7,5,4,1,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,4,1,3] => [4,6,2,5,1,7,3] => [7,4,1,5,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,4,3,1] => [3,4,6,5,2,7,1] => [7,4,3,5,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,2,4,6,7] => [3,1,5,2,4,6,7] => [5,1,3,2,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,3,1,2,4,7,6] => [3,1,5,2,4,7,6] => [5,1,3,2,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,3,1,2,6,4,7] => [3,1,5,6,2,4,7] => [6,1,3,5,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,1,2,6,7,4] => [3,1,5,7,2,6,4] => [6,1,3,5,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,1,2,7,4,6] => [3,1,5,7,2,4,6] => [7,1,3,5,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,2,7,6,4] => [3,1,5,6,2,7,4] => [7,1,3,5,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,4,2,6,7] => [3,5,4,2,1,6,7] => [5,3,4,1,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,3,1,4,2,7,6] => [3,5,4,2,1,7,6] => [5,3,4,1,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,3,1,4,6,2,7] => [3,5,6,2,4,1,7] => [6,5,3,1,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,1,4,6,7,2] => [3,5,7,2,4,6,1] => [6,5,3,1,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,1,4,7,2,6] => [3,5,7,2,4,1,6] => [7,5,3,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,4,7,6,2] => [3,5,6,2,4,7,1] => [7,5,3,1,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,6,2,4,7] => [3,5,6,1,2,4,7] => [6,5,3,2,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,1,6,2,7,4] => [3,5,6,7,2,1,4] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,6,4,2,7] => [3,5,4,6,2,1,7] => [6,3,5,4,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,1,6,4,7,2] => [3,5,7,6,2,4,1] => [7,5,3,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,6,7,2,4] => [3,5,7,1,2,6,4] => [6,5,3,2,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,1,6,7,4,2] => [3,5,4,7,2,6,1] => [6,3,5,4,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,1,7,2,4,6] => [3,5,7,1,2,4,6] => [7,5,3,2,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,2,6,4] => [3,5,7,6,2,1,4] => [7,5,3,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,4,2,6] => [3,5,4,7,2,1,6] => [7,3,5,4,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,4,6,2] => [3,5,6,7,2,4,1] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,6,2,4] => [3,5,6,1,2,7,4] => [7,5,3,2,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,6,4,2] => [3,5,4,6,2,7,1] => [7,3,5,4,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,1,4,6,7] => [2,3,5,1,4,6,7] => [5,2,3,1,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,3,2,1,4,7,6] => [2,3,5,1,4,7,6] => [5,2,3,1,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,3,2,1,6,4,7] => [2,3,5,6,1,4,7] => [6,2,3,5,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,2,1,6,7,4] => [2,3,5,7,1,6,4] => [6,2,3,5,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,2,1,7,4,6] => [2,3,5,7,1,4,6] => [7,2,3,5,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,1,7,6,4] => [2,3,5,6,1,7,4] => [7,2,3,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,4,1,6,7] => [4,3,5,2,1,6,7] => [4,5,3,1,2,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[5,3,2,4,1,7,6] => [4,3,5,2,1,7,6] => [4,5,3,1,2,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[5,3,2,4,6,1,7] => [6,3,5,2,4,1,7] => [3,6,5,1,2,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[5,3,2,4,6,7,1] => [7,3,5,2,4,6,1] => [3,6,5,1,2,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[5,3,2,4,7,1,6] => [7,3,5,2,4,1,6] => [3,7,5,1,2,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,3,2,4,7,6,1] => [6,3,5,2,4,7,1] => [3,7,5,1,2,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,3,2,6,1,4,7] => [6,3,5,1,2,4,7] => [3,6,5,2,4,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[5,3,2,6,1,7,4] => [6,3,5,7,2,1,4] => [3,7,6,5,2,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,3,2,6,4,1,7] => [4,3,6,5,1,2,7] => [4,6,3,5,2,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[5,3,2,6,4,7,1] => [7,3,5,6,2,4,1] => [3,7,5,6,2,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,3,2,6,7,1,4] => [7,3,5,1,2,6,4] => [3,6,5,2,4,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[5,3,2,6,7,4,1] => [4,3,7,5,1,6,2] => [4,6,3,5,2,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[5,3,2,7,1,4,6] => [7,3,5,1,2,4,6] => [3,7,5,2,4,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,3,2,7,1,6,4] => [7,3,5,6,2,1,4] => [3,7,5,6,2,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,3,2,7,4,1,6] => [4,3,7,5,1,2,6] => [4,7,3,5,2,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,2,7,4,6,1] => [6,3,5,7,2,4,1] => [3,7,6,5,2,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,3,2,7,6,1,4] => [6,3,5,1,2,7,4] => [3,7,5,2,4,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,3,2,7,6,4,1] => [4,3,6,5,1,7,2] => [4,7,3,5,2,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,4,1,2,6,7] => [4,1,5,3,2,6,7] => [5,1,4,2,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,3,4,1,2,7,6] => [4,1,5,3,2,7,6] => [5,1,4,2,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,3,4,1,6,2,7] => [4,6,5,3,1,2,7] => [6,4,5,1,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,4,1,6,7,2] => [4,7,5,3,1,6,2] => [6,4,5,1,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,4,1,7,2,6] => [4,7,5,3,1,2,6] => [7,4,5,1,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,1,7,6,2] => [4,6,5,3,1,7,2] => [7,4,5,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,2,1,6,7] => [2,4,5,3,1,6,7] => [5,2,4,1,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,3,4,2,1,7,6] => [2,4,5,3,1,7,6] => [5,2,4,1,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,3,4,2,6,1,7] => [6,4,5,3,2,1,7] => [4,6,5,1,2,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[5,3,4,2,6,7,1] => [7,4,5,3,2,6,1] => [4,6,5,1,2,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[5,3,4,2,7,1,6] => [7,4,5,3,2,1,6] => [4,7,5,1,2,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,4,2,7,6,1] => [6,4,5,3,2,7,1] => [4,7,5,1,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,4,6,1,2,7] => [6,1,5,3,4,2,7] => [5,1,6,2,3,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,3,4,6,1,7,2] => [6,7,5,3,4,1,2] => [6,5,7,1,2,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,4,6,2,1,7] => [2,6,5,3,4,1,7] => [5,2,6,1,3,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,3,4,6,2,7,1] => [7,6,5,3,4,2,1] => [5,6,7,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[5,3,4,6,7,1,2] => [7,1,5,3,4,6,2] => [5,1,6,2,3,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[5,3,4,6,7,2,1] => [2,7,5,3,4,6,1] => [5,2,6,1,3,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[5,3,4,7,1,2,6] => [7,1,5,3,4,2,6] => [5,1,7,2,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,4,7,1,6,2] => [7,6,5,3,4,1,2] => [5,6,7,1,2,4,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[5,3,4,7,2,1,6] => [2,7,5,3,4,1,6] => [5,2,7,1,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,4,7,2,6,1] => [6,7,5,3,4,2,1] => [6,5,7,1,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,4,7,6,1,2] => [6,1,5,3,4,7,2] => [5,1,7,2,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,4,7,6,2,1] => [2,6,5,3,4,7,1] => [5,2,7,1,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,6,1,2,4,7] => [6,1,5,2,3,4,7] => [5,1,6,3,4,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,3,6,1,2,7,4] => [6,1,5,7,3,2,4] => [6,1,7,5,3,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,6,1,4,2,7] => [6,4,5,1,3,2,7] => [4,6,5,3,1,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[5,3,6,1,4,7,2] => [6,7,5,1,3,4,2] => [6,5,7,3,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,6,1,7,2,4] => [6,7,5,2,3,1,4] => [6,5,7,2,3,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,6,1,7,4,2] => [6,4,7,5,2,1,3] => [5,7,4,6,2,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,3,6,2,1,4,7] => [2,6,5,1,3,4,7] => [5,2,6,3,4,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,3,6,2,1,7,4] => [2,6,5,7,3,1,4] => [6,2,7,5,3,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,6,2,4,1,7] => [4,6,5,2,3,1,7] => [6,4,5,2,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,6,2,4,7,1] => [7,6,5,2,3,4,1] => [5,6,7,2,3,1,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[5,3,6,2,7,1,4] => [7,6,5,1,3,2,4] => [5,6,7,3,2,4,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[5,3,6,2,7,4,1] => [4,7,6,5,1,3,2] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,1,2,7] => [4,1,6,5,2,3,7] => [6,1,4,5,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,6,4,1,7,2] => [4,6,7,5,1,2,3] => [7,5,4,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,2,1,7] => [2,4,6,5,1,3,7] => [6,2,4,5,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,6,4,2,7,1] => [7,4,6,5,2,3,1] => [4,7,5,6,2,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,6,4,7,1,2] => [7,1,5,6,3,4,2] => [5,1,7,6,3,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,6,4,7,2,1] => [2,7,5,6,3,4,1] => [5,2,7,6,3,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,6,7,1,2,4] => [7,1,5,2,3,6,4] => [5,1,6,3,4,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[5,3,6,7,1,4,2] => [7,4,5,1,3,6,2] => [4,6,5,3,1,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[5,3,6,7,2,1,4] => [2,7,5,1,3,6,4] => [5,2,6,3,4,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[5,3,6,7,2,4,1] => [4,7,5,2,3,6,1] => [6,4,5,2,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,6,7,4,1,2] => [4,1,7,5,2,6,3] => [6,1,4,5,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,6,7,4,2,1] => [2,4,7,5,1,6,3] => [6,2,4,5,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,7,1,2,4,6] => [7,1,5,2,3,4,6] => [5,1,7,3,4,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,7,1,2,6,4] => [7,1,5,6,3,2,4] => [5,1,7,6,3,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,7,1,4,2,6] => [7,4,5,1,3,2,6] => [4,7,5,3,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,7,1,4,6,2] => [7,6,5,1,3,4,2] => [5,6,7,3,2,1,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[5,3,7,1,6,2,4] => [7,6,5,2,3,1,4] => [5,6,7,2,3,4,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[5,3,7,1,6,4,2] => [7,4,6,5,2,1,3] => [4,7,5,6,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,7,2,1,4,6] => [2,7,5,1,3,4,6] => [5,2,7,3,4,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,7,2,1,6,4] => [2,7,5,6,3,1,4] => [5,2,7,6,3,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,7,2,4,1,6] => [4,7,5,2,3,1,6] => [7,4,5,2,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,2,4,6,1] => [6,7,5,2,3,4,1] => [6,5,7,2,3,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,7,2,6,1,4] => [6,7,5,1,3,2,4] => [6,5,7,3,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,7,2,6,4,1] => [4,6,7,5,1,3,2] => [7,5,4,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,1,2,6] => [4,1,7,5,2,3,6] => [7,1,4,5,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,1,6,2] => [4,7,6,5,1,2,3] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,2,1,6] => [2,4,7,5,1,3,6] => [7,2,4,5,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,2,6,1] => [6,4,7,5,2,3,1] => [5,7,4,6,2,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,3,7,4,6,1,2] => [6,1,5,7,3,4,2] => [6,1,7,5,3,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,7,4,6,2,1] => [2,6,5,7,3,4,1] => [6,2,7,5,3,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,7,6,1,2,4] => [6,1,5,2,3,7,4] => [5,1,7,3,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,7,6,1,4,2] => [6,4,5,1,3,7,2] => [4,7,5,3,1,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,7,6,2,1,4] => [2,6,5,1,3,7,4] => [5,2,7,3,4,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,7,6,2,4,1] => [4,6,5,2,3,7,1] => [7,4,5,2,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,6,4,1,2] => [4,1,6,5,2,7,3] => [7,1,4,5,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,6,4,2,1] => [2,4,6,5,1,7,3] => [7,2,4,5,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,2,3,6,7] => [4,1,2,5,3,6,7] => [5,1,2,4,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,4,1,2,3,7,6] => [4,1,2,5,3,7,6] => [5,1,2,4,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,4,1,2,6,3,7] => [4,1,5,6,3,2,7] => [6,1,5,4,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,4,1,2,6,7,3] => [4,1,5,7,3,6,2] => [6,1,5,4,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,1,2,7,3,6] => [4,1,5,7,3,2,6] => [7,1,5,4,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,2,7,6,3] => [4,1,5,6,3,7,2] => [7,1,5,4,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,3,2,6,7] => [4,3,1,5,2,6,7] => [3,5,2,4,1,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[5,4,1,3,2,7,6] => [4,3,1,5,2,7,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[5,4,1,3,6,2,7] => [4,5,2,6,3,1,7] => [6,5,1,4,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,4,1,3,6,7,2] => [4,5,2,7,3,6,1] => [6,5,1,4,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,1,3,7,2,6] => [4,5,2,7,3,1,6] => [7,5,1,4,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,3,7,6,2] => [4,5,2,6,3,7,1] => [7,5,1,4,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,6,2,3,7] => [4,5,1,6,2,3,7] => [6,5,2,4,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,4,1,6,2,7,3] => [4,5,6,7,2,3,1] => [7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,6,3,2,7] => [4,3,5,6,2,1,7] => [5,6,3,4,1,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[5,4,1,6,3,7,2] => [4,5,7,6,2,1,3] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,6,7,2,3] => [4,5,1,7,2,6,3] => [6,5,2,4,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,1,6,7,3,2] => [4,3,5,7,2,6,1] => [5,6,3,4,1,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,4,1,7,2,3,6] => [4,5,1,7,2,3,6] => [7,5,2,4,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,2,6,3] => [4,5,7,6,2,3,1] => [7,6,4,5,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,3,2,6] => [4,3,5,7,2,1,6] => [5,7,3,4,1,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,4,1,7,3,6,2] => [4,5,6,7,2,1,3] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,6,2,3] => [4,5,1,6,2,7,3] => [7,5,2,4,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,6,3,2] => [4,3,5,6,2,7,1] => [5,7,3,4,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,4,2,1,3,6,7] => [2,4,1,5,3,6,7] => [5,2,1,4,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,4,2,1,3,7,6] => [2,4,1,5,3,7,6] => [5,2,1,4,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,4,2,1,6,3,7] => [2,4,5,6,3,1,7] => [6,2,5,4,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,4,2,1,6,7,3] => [2,4,5,7,3,6,1] => [6,2,5,4,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,2,1,7,3,6] => [2,4,5,7,3,1,6] => [7,2,5,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,1,7,6,3] => [2,4,5,6,3,7,1] => [7,2,5,4,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,3,1,6,7] => [3,4,2,5,1,6,7] => [5,3,1,4,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,4,2,3,1,7,6] => [3,4,2,5,1,7,6] => [5,3,1,4,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,4,2,3,6,1,7] => [6,4,2,5,3,1,7] => [4,6,1,5,2,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[5,4,2,3,6,7,1] => [7,4,2,5,3,6,1] => [4,6,1,5,2,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[5,4,2,3,7,1,6] => [7,4,2,5,3,1,6] => [4,7,1,5,2,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,2,3,7,6,1] => [6,4,2,5,3,7,1] => [4,7,1,5,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,2,6,1,3,7] => [6,4,1,5,2,3,7] => [4,6,2,5,3,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[5,4,2,6,1,7,3] => [6,4,5,7,3,1,2] => [5,7,6,4,1,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,4,2,6,3,1,7] => [3,6,4,5,1,2,7] => [6,3,4,5,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,4,2,6,3,7,1] => [7,4,5,6,3,2,1] => [4,7,6,5,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,2,6,7,1,3] => [7,4,1,5,2,6,3] => [4,6,2,5,3,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[5,4,2,6,7,3,1] => [3,7,4,5,1,6,2] => [6,3,4,5,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,2,7,1,3,6] => [7,4,1,5,2,3,6] => [4,7,2,5,3,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,2,7,1,6,3] => [7,4,5,6,3,1,2] => [4,7,6,5,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,2,7,3,1,6] => [3,7,4,5,1,2,6] => [7,3,4,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,7,3,6,1] => [6,4,5,7,3,2,1] => [5,7,6,4,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,4,2,7,6,1,3] => [6,4,1,5,2,7,3] => [4,7,2,5,3,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,2,7,6,3,1] => [3,6,4,5,1,7,2] => [7,3,4,5,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,1,2,6,7] => [3,1,4,5,2,6,7] => [5,1,3,4,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,4,3,1,2,7,6] => [3,1,4,5,2,7,6] => [5,1,3,4,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,4,3,1,6,2,7] => [3,4,5,6,1,2,7] => [6,5,3,4,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,4,3,1,6,7,2] => [3,4,5,7,1,6,2] => [6,5,3,4,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,3,1,7,2,6] => [3,4,5,7,1,2,6] => [7,5,3,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,1,7,6,2] => [3,4,5,6,1,7,2] => [7,5,3,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,2,1,6,7] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[5,4,3,2,1,7,6] => [2,3,4,5,1,7,6] => [5,2,3,4,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,4,3,2,6,1,7] => [6,3,4,5,2,1,7] => [3,6,4,5,1,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[5,4,3,2,6,7,1] => [7,3,4,5,2,6,1] => [3,6,4,5,1,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[5,4,3,2,7,1,6] => [7,3,4,5,2,1,6] => [3,7,4,5,1,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,4,3,2,7,6,1] => [6,3,4,5,2,7,1] => [3,7,4,5,1,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,4,3,6,1,2,7] => [6,1,4,5,3,2,7] => [4,1,6,5,2,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[5,4,3,6,1,7,2] => [6,7,4,5,3,1,2] => [5,4,7,6,1,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,4,3,6,2,1,7] => [2,6,4,5,3,1,7] => [4,2,6,5,1,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[5,4,3,6,2,7,1] => [7,6,4,5,3,2,1] => [4,5,7,6,1,2,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[5,4,3,6,7,1,2] => [7,1,4,5,3,6,2] => [4,1,6,5,2,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[5,4,3,6,7,2,1] => [2,7,4,5,3,6,1] => [4,2,6,5,1,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[5,4,3,7,1,2,6] => [7,1,4,5,3,2,6] => [4,1,7,5,2,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[5,4,3,7,1,6,2] => [7,6,4,5,3,1,2] => [4,5,7,6,1,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[5,4,3,7,2,1,6] => [2,7,4,5,3,1,6] => [4,2,7,5,1,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[5,4,3,7,2,6,1] => [6,7,4,5,3,2,1] => [5,4,7,6,1,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,4,3,7,6,1,2] => [6,1,4,5,3,7,2] => [4,1,7,5,2,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[5,4,3,7,6,2,1] => [2,6,4,5,3,7,1] => [4,2,7,5,1,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[5,4,6,1,2,3,7] => [6,1,2,5,4,3,7] => [5,1,2,6,3,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[5,4,6,1,2,7,3] => [6,1,7,5,4,2,3] => [6,1,5,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,6,1,3,2,7] => [6,3,1,5,4,2,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[5,4,6,1,3,7,2] => [6,7,1,5,4,3,2] => [6,5,2,7,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,6,1,7,2,3] => [6,7,2,5,4,1,3] => [6,5,1,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,6,1,7,3,2] => [6,3,7,5,4,1,2] => [5,6,3,7,1,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,4,6,2,1,3,7] => [2,6,1,5,4,3,7] => [5,2,1,6,3,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[5,4,6,2,1,7,3] => [2,6,7,5,4,1,3] => [6,2,5,7,1,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,6,2,3,1,7] => [3,6,2,5,4,1,7] => [5,3,1,6,2,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[5,4,6,2,3,7,1] => [7,6,2,5,4,3,1] => [5,6,1,7,2,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,4,6,2,7,1,3] => [7,6,1,5,4,2,3] => [5,6,2,7,1,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,4,6,2,7,3,1] => [3,7,6,5,4,1,2] => [6,3,5,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,6,3,1,2,7] => [3,1,6,5,4,2,7] => [5,1,3,6,2,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[5,4,6,3,1,7,2] => [3,6,7,5,4,2,1] => [6,5,3,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,6,3,2,1,7] => [2,3,6,5,4,1,7] => [5,2,3,6,1,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[5,4,6,3,2,7,1] => [7,3,6,5,4,2,1] => [3,6,5,7,1,2,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[5,4,6,3,7,1,2] => [7,1,6,5,4,3,2] => [5,1,6,7,2,3,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[5,4,6,3,7,2,1] => [2,7,6,5,4,3,1] => [5,2,6,7,1,3,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[5,4,6,7,1,2,3] => [7,1,2,5,4,6,3] => [5,1,2,6,3,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[5,4,6,7,1,3,2] => [7,3,1,5,4,6,2] => [3,5,2,6,1,7,4] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[5,4,6,7,2,1,3] => [2,7,1,5,4,6,3] => [5,2,1,6,3,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[5,4,6,7,2,3,1] => [3,7,2,5,4,6,1] => [5,3,1,6,2,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[5,4,6,7,3,1,2] => [3,1,7,5,4,6,2] => [5,1,3,6,2,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[5,4,6,7,3,2,1] => [2,3,7,5,4,6,1] => [5,2,3,6,1,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[5,4,7,1,2,3,6] => [7,1,2,5,4,3,6] => [5,1,2,7,3,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,7,1,2,6,3] => [7,1,6,5,4,2,3] => [5,1,6,7,2,4,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[5,4,7,1,3,2,6] => [7,3,1,5,4,2,6] => [3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[5,4,7,1,3,6,2] => [7,6,1,5,4,3,2] => [5,6,2,7,1,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,4,7,1,6,2,3] => [7,6,2,5,4,1,3] => [5,6,1,7,2,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,4,7,1,6,3,2] => [7,3,6,5,4,1,2] => [3,6,5,7,1,4,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[5,4,7,2,1,3,6] => [2,7,1,5,4,3,6] => [5,2,1,7,3,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,7,2,1,6,3] => [2,7,6,5,4,1,3] => [5,2,6,7,1,4,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[5,4,7,2,3,1,6] => [3,7,2,5,4,1,6] => [5,3,1,7,2,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,7,2,3,6,1] => [6,7,2,5,4,3,1] => [6,5,1,7,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,2,6,1,3] => [6,7,1,5,4,2,3] => [6,5,2,7,1,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,2,6,3,1] => [3,6,7,5,4,1,2] => [6,5,3,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,3,1,2,6] => [3,1,7,5,4,2,6] => [5,1,3,7,2,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,7,3,1,6,2] => [3,7,6,5,4,2,1] => [6,3,5,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,3,2,1,6] => [2,3,7,5,4,1,6] => [5,2,3,7,1,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,7,3,2,6,1] => [6,3,7,5,4,2,1] => [5,6,3,7,1,2,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,4,7,3,6,1,2] => [6,1,7,5,4,3,2] => [6,1,5,7,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,3,6,2,1] => [2,6,7,5,4,3,1] => [6,2,5,7,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,6,1,2,3] => [6,1,2,5,4,7,3] => [5,1,2,7,3,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,7,6,1,3,2] => [6,3,1,5,4,7,2] => [3,5,2,7,1,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[5,4,7,6,2,1,3] => [2,6,1,5,4,7,3] => [5,2,1,7,3,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,7,6,2,3,1] => [3,6,2,5,4,7,1] => [5,3,1,7,2,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,7,6,3,1,2] => [3,1,6,5,4,7,2] => [5,1,3,7,2,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,7,6,3,2,1] => [2,3,6,5,4,7,1] => [5,2,3,7,1,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => [5,1,2,3,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,1,2,3,7,4] => [6,1,2,7,5,3,4] => [6,1,2,5,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,1,2,4,3,7] => [6,1,4,2,5,3,7] => [4,1,5,3,6,2,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[5,6,1,2,4,7,3] => [6,1,7,2,5,4,3] => [6,1,5,3,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,1,2,7,3,4] => [6,1,7,3,5,2,4] => [6,1,5,2,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,1,2,7,4,3] => [6,1,4,7,5,2,3] => [5,1,6,4,7,3,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,1,3,2,4,7] => [6,3,1,2,5,4,7] => [3,5,2,1,6,4,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[5,6,1,3,2,7,4] => [6,3,1,7,5,2,4] => [3,6,2,5,7,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,6,1,3,4,2,7] => [6,4,1,3,5,2,7] => [4,5,2,1,6,3,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[5,6,1,3,4,7,2] => [6,7,1,3,5,4,2] => [6,5,2,1,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,1,3,7,2,4] => [6,7,1,2,5,3,4] => [6,5,2,3,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,1,3,7,4,2] => [6,4,1,7,5,3,2] => [5,6,2,4,7,1,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,1,4,2,3,7] => [6,4,2,1,5,3,7] => [4,5,1,3,6,2,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[5,6,1,4,2,7,3] => [6,4,7,1,5,2,3] => [5,6,4,3,7,2,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,1,4,3,2,7] => [6,3,4,1,5,2,7] => [3,5,4,2,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[5,6,1,4,3,7,2] => [6,7,4,1,5,3,2] => [5,4,6,3,7,1,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,1,4,7,2,3] => [6,7,2,1,5,4,3] => [6,5,1,3,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,1,4,7,3,2] => [6,3,7,1,5,4,2] => [5,6,3,2,7,1,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,1,7,2,3,4] => [6,7,2,3,5,1,4] => [6,5,1,2,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,1,7,2,4,3] => [6,7,4,2,5,1,3] => [5,4,6,2,7,3,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,1,7,3,2,4] => [6,3,7,2,5,1,4] => [5,6,3,1,7,4,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,1,7,3,4,2] => [6,4,7,3,5,1,2] => [5,6,4,1,7,3,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,1,7,4,2,3] => [6,4,2,7,5,1,3] => [5,6,1,4,7,3,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,1,7,4,3,2] => [6,3,4,7,5,1,2] => [3,6,5,4,7,2,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,6,2,1,3,4,7] => [2,6,1,3,5,4,7] => [5,2,1,3,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,2,1,3,7,4] => [2,6,1,7,5,3,4] => [6,2,1,5,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,1,4,3,7] => [2,6,4,1,5,3,7] => [4,2,5,3,6,1,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[5,6,2,1,4,7,3] => [2,6,7,1,5,4,3] => [6,2,5,3,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,1,7,3,4] => [2,6,7,3,5,1,4] => [6,2,5,1,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,1,7,4,3] => [2,6,4,7,5,1,3] => [5,2,6,4,7,3,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,2,3,1,4,7] => [3,6,2,1,5,4,7] => [5,3,1,2,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,2,3,1,7,4] => [3,6,2,7,5,1,4] => [6,3,1,5,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,3,4,1,7] => [4,6,2,3,5,1,7] => [5,4,1,2,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,2,3,4,7,1] => [7,6,2,3,5,4,1] => [5,6,1,2,7,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,2,3,7,1,4] => [7,6,2,1,5,3,4] => [5,6,1,3,7,4,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,2,3,7,4,1] => [4,7,1,6,5,3,2] => [6,4,2,5,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,4,1,3,7] => [4,6,1,2,5,3,7] => [5,4,2,3,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,2,4,1,7,3] => [4,6,7,2,5,1,3] => [6,5,4,2,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,4,3,1,7] => [3,4,6,1,5,2,7] => [5,4,3,2,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,2,4,3,7,1] => [7,6,4,2,5,3,1] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[5,6,2,4,7,1,3] => [7,6,1,2,5,4,3] => [5,6,2,3,7,1,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,2,4,7,3,1] => [3,7,6,1,5,4,2] => [6,3,5,2,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,7,1,3,4] => [7,6,1,3,5,2,4] => [5,6,2,1,7,4,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,2,7,1,4,3] => [7,6,4,1,5,2,3] => [4,5,6,3,7,2,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[5,6,2,7,3,1,4] => [3,7,6,2,5,1,4] => [6,3,5,1,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,7,3,4,1] => [4,6,7,3,5,2,1] => [6,5,4,1,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,7,4,1,3] => [4,7,2,6,5,1,3] => [6,4,1,5,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,2,7,4,3,1] => [3,4,7,6,5,2,1] => [6,4,3,5,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,3,1,2,4,7] => [3,1,6,2,5,4,7] => [5,1,3,2,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,3,1,2,7,4] => [3,1,6,7,5,2,4] => [6,1,3,5,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,3,1,4,2,7] => [3,6,4,2,5,1,7] => [5,3,4,1,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,3,1,4,7,2] => [3,6,7,2,5,4,1] => [6,5,3,1,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,3,1,7,2,4] => [3,6,7,1,5,2,4] => [6,5,3,2,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,3,1,7,4,2] => [3,6,4,7,5,2,1] => [6,3,5,4,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,3,2,1,4,7] => [2,3,6,1,5,4,7] => [5,2,3,1,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,3,2,1,7,4] => [2,3,6,7,5,1,4] => [6,2,3,5,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,3,2,4,1,7] => [4,3,6,2,5,1,7] => [4,5,3,1,6,2,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[5,6,3,2,4,7,1] => [7,3,6,2,5,4,1] => [3,6,5,1,7,2,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,6,3,2,7,1,4] => [7,3,6,1,5,2,4] => [3,6,5,2,7,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,6,3,2,7,4,1] => [4,3,7,6,5,1,2] => [4,6,3,5,7,2,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,6,3,4,1,2,7] => [4,1,6,3,5,2,7] => [5,1,4,2,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,3,4,1,7,2] => [4,7,6,3,5,1,2] => [6,4,5,1,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,3,4,2,1,7] => [2,4,6,3,5,1,7] => [5,2,4,1,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,3,4,2,7,1] => [7,4,6,3,5,2,1] => [4,6,5,1,7,2,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,6,3,4,7,1,2] => [7,1,6,3,5,4,2] => [5,1,6,2,7,3,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,3,4,7,2,1] => [2,7,6,3,5,4,1] => [5,2,6,1,7,3,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,3,7,1,2,4] => [7,1,6,2,5,3,4] => [5,1,6,3,7,4,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,3,7,1,4,2] => [7,4,6,1,5,3,2] => [4,6,5,3,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,6,3,7,2,1,4] => [2,7,6,1,5,3,4] => [5,2,6,3,7,4,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,3,7,2,4,1] => [4,7,6,2,5,3,1] => [6,4,5,2,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,3,7,4,1,2] => [4,1,7,6,5,2,3] => [6,1,4,5,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,3,7,4,2,1] => [2,4,7,6,5,1,3] => [6,2,4,5,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,4,1,2,3,7] => [4,1,2,6,5,3,7] => [5,1,2,4,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,4,1,2,7,3] => [4,1,6,7,5,3,2] => [6,1,5,4,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,4,1,3,2,7] => [4,3,1,6,5,2,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[5,6,4,1,3,7,2] => [4,6,2,7,5,3,1] => [6,5,1,4,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,4,1,7,2,3] => [4,6,1,7,5,2,3] => [6,5,2,4,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,4,1,7,3,2] => [4,3,6,7,5,2,1] => [5,6,3,4,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,6,4,2,1,3,7] => [2,4,1,6,5,3,7] => [5,2,1,4,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,4,2,1,7,3] => [2,4,6,7,5,3,1] => [6,2,5,4,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,4,2,3,1,7] => [3,4,2,6,5,1,7] => [5,3,1,4,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,4,2,3,7,1] => [7,4,2,6,5,3,1] => [4,6,1,5,7,2,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,6,4,2,7,1,3] => [7,4,1,6,5,2,3] => [4,6,2,5,7,3,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,6,4,2,7,3,1] => [3,7,4,6,5,1,2] => [6,3,4,5,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,4,3,1,2,7] => [3,1,4,6,5,2,7] => [5,1,3,4,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,4,3,1,7,2] => [3,4,6,7,5,1,2] => [6,5,3,4,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,6,4,3,2,1,7] => [2,3,4,6,5,1,7] => [5,2,3,4,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,6,4,3,2,7,1] => [7,3,4,6,5,2,1] => [3,6,4,5,7,1,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,6,4,3,7,1,2] => [7,1,4,6,5,3,2] => [4,1,6,5,7,2,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[5,6,4,3,7,2,1] => [2,7,4,6,5,3,1] => [4,2,6,5,7,1,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[5,6,4,7,1,2,3] => [7,1,2,6,5,4,3] => [5,1,2,6,7,3,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,6,4,7,1,3,2] => [7,3,1,6,5,4,2] => [3,5,2,6,7,1,4] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[5,6,4,7,2,1,3] => [2,7,1,6,5,4,3] => [5,2,1,6,7,3,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,6,4,7,2,3,1] => [3,7,2,6,5,4,1] => [5,3,1,6,7,2,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,6,4,7,3,1,2] => [3,1,7,6,5,4,2] => [5,1,3,6,7,2,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,6,4,7,3,2,1] => [2,3,7,6,5,4,1] => [5,2,3,6,7,1,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => [5,1,2,3,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,1,2,4,3] => [7,1,4,2,5,6,3] => [4,1,5,3,6,7,2] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[5,6,7,1,3,2,4] => [7,3,1,2,5,6,4] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[5,6,7,1,3,4,2] => [7,4,1,3,5,6,2] => [4,5,2,1,6,7,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[5,6,7,1,4,2,3] => [7,4,2,1,5,6,3] => [4,5,1,3,6,7,2] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[5,6,7,1,4,3,2] => [7,3,4,1,5,6,2] => [3,5,4,2,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[5,6,7,2,1,3,4] => [2,7,1,3,5,6,4] => [5,2,1,3,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,2,1,4,3] => [2,7,4,1,5,6,3] => [4,2,5,3,6,7,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[5,6,7,2,3,1,4] => [3,7,2,1,5,6,4] => [5,3,1,2,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,2,3,4,1] => [4,7,2,3,5,6,1] => [5,4,1,2,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,2,4,1,3] => [4,7,1,2,5,6,3] => [5,4,2,3,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,2,4,3,1] => [3,4,7,1,5,6,2] => [5,4,3,2,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,3,1,2,4] => [3,1,7,2,5,6,4] => [5,1,3,2,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,3,1,4,2] => [3,7,4,2,5,6,1] => [5,3,4,1,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,3,2,1,4] => [2,3,7,1,5,6,4] => [5,2,3,1,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,3,2,4,1] => [4,3,7,2,5,6,1] => [4,5,3,1,6,7,2] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[5,6,7,3,4,1,2] => [4,1,7,3,5,6,2] => [5,1,4,2,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,3,4,2,1] => [2,4,7,3,5,6,1] => [5,2,4,1,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,4,1,2,3] => [4,1,2,7,5,6,3] => [5,1,2,4,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,4,1,3,2] => [4,3,1,7,5,6,2] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[5,6,7,4,2,1,3] => [2,4,1,7,5,6,3] => [5,2,1,4,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,4,2,3,1] => [3,4,2,7,5,6,1] => [5,3,1,4,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,4,3,1,2] => [3,1,4,7,5,6,2] => [5,1,3,4,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,4,3,2,1] => [2,3,4,7,5,6,1] => [5,2,3,4,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,7,1,2,3,4,6] => [7,1,2,3,5,4,6] => [5,1,2,3,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,1,2,3,6,4] => [7,1,2,6,5,3,4] => [5,1,2,6,7,4,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,7,1,2,4,3,6] => [7,1,4,2,5,3,6] => [4,1,5,3,7,2,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[5,7,1,2,4,6,3] => [7,1,6,2,5,4,3] => [5,1,6,3,7,2,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,7,1,2,6,3,4] => [7,1,6,3,5,2,4] => [5,1,6,2,7,4,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,7,1,2,6,4,3] => [7,1,4,6,5,2,3] => [4,1,6,5,7,3,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[5,7,1,3,2,4,6] => [7,3,1,2,5,4,6] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[5,7,1,3,2,6,4] => [7,3,1,6,5,2,4] => [3,5,2,6,7,4,1] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[5,7,1,3,4,2,6] => [7,4,1,3,5,2,6] => [4,5,2,1,7,3,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[5,7,1,3,4,6,2] => [7,6,1,3,5,4,2] => [5,6,2,1,7,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,1,3,6,2,4] => [7,6,1,2,5,3,4] => [5,6,2,3,7,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,1,3,6,4,2] => [7,4,1,6,5,3,2] => [4,6,2,5,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,7,1,4,2,3,6] => [7,4,2,1,5,3,6] => [4,5,1,3,7,2,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[5,7,1,4,2,6,3] => [7,4,6,1,5,2,3] => [4,6,5,3,7,2,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,7,1,4,3,2,6] => [7,3,4,1,5,2,6] => [3,5,4,2,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[5,7,1,4,3,6,2] => [7,6,4,1,5,3,2] => [4,5,6,3,7,1,2] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[5,7,1,4,6,2,3] => [7,6,2,1,5,4,3] => [5,6,1,3,7,2,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,1,4,6,3,2] => [7,3,6,1,5,4,2] => [3,6,5,2,7,1,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,7,1,6,2,3,4] => [7,6,2,3,5,1,4] => [5,6,1,2,7,4,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,1,6,2,4,3] => [7,6,4,2,5,1,3] => [4,5,6,2,7,3,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[5,7,1,6,3,2,4] => [7,3,6,2,5,1,4] => [3,6,5,1,7,4,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,7,1,6,3,4,2] => [7,4,6,3,5,1,2] => [4,6,5,1,7,3,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,7,1,6,4,2,3] => [7,4,2,6,5,1,3] => [4,6,1,5,7,3,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,7,1,6,4,3,2] => [7,3,4,6,5,1,2] => [3,6,4,5,7,2,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,7,2,1,3,4,6] => [2,7,1,3,5,4,6] => [5,2,1,3,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,2,1,3,6,4] => [2,7,1,6,5,3,4] => [5,2,1,6,7,4,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,7,2,1,4,3,6] => [2,7,4,1,5,3,6] => [4,2,5,3,7,1,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[5,7,2,1,4,6,3] => [2,7,6,1,5,4,3] => [5,2,6,3,7,1,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,7,2,1,6,3,4] => [2,7,6,3,5,1,4] => [5,2,6,1,7,4,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,7,2,1,6,4,3] => [2,7,4,6,5,1,3] => [4,2,6,5,7,3,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[5,7,2,3,1,4,6] => [3,7,2,1,5,4,6] => [5,3,1,2,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,2,3,1,6,4] => [3,7,2,6,5,1,4] => [5,3,1,6,7,4,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,7,2,3,4,1,6] => [4,7,2,3,5,1,6] => [5,4,1,2,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,2,3,4,6,1] => [6,7,2,3,5,4,1] => [6,5,1,2,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,3,6,1,4] => [6,7,2,1,5,3,4] => [6,5,1,3,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,3,6,4,1] => [4,6,1,7,5,3,2] => [6,5,2,4,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,4,1,3,6] => [4,7,1,2,5,3,6] => [5,4,2,3,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,2,4,1,6,3] => [4,7,6,2,5,1,3] => [6,4,5,2,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,4,3,1,6] => [3,4,7,1,5,2,6] => [5,4,3,2,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,2,4,3,6,1] => [6,7,4,2,5,3,1] => [5,4,6,2,7,1,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,7,2,4,6,1,3] => [6,7,1,2,5,4,3] => [6,5,2,3,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,4,6,3,1] => [3,6,7,1,5,4,2] => [6,5,3,2,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,6,1,3,4] => [6,7,1,3,5,2,4] => [6,5,2,1,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,6,1,4,3] => [6,7,4,1,5,2,3] => [5,4,6,3,7,2,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,7,2,6,3,1,4] => [3,6,7,2,5,1,4] => [6,5,3,1,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,6,3,4,1] => [4,7,6,3,5,2,1] => [6,4,5,1,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,6,4,1,3] => [4,6,2,7,5,1,3] => [6,5,1,4,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,6,4,3,1] => [3,4,6,7,5,2,1] => [6,5,3,4,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,1,2,4,6] => [3,1,7,2,5,4,6] => [5,1,3,2,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,3,1,2,6,4] => [3,1,7,6,5,2,4] => [5,1,3,6,7,4,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,7,3,1,4,2,6] => [3,7,4,2,5,1,6] => [5,3,4,1,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,3,1,4,6,2] => [3,7,6,2,5,4,1] => [6,3,5,1,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,1,6,2,4] => [3,7,6,1,5,2,4] => [6,3,5,2,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,1,6,4,2] => [3,7,4,6,5,2,1] => [6,3,4,5,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,2,1,4,6] => [2,3,7,1,5,4,6] => [5,2,3,1,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,3,2,1,6,4] => [2,3,7,6,5,1,4] => [5,2,3,6,7,4,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,7,3,2,4,1,6] => [4,3,7,2,5,1,6] => [4,5,3,1,7,2,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[5,7,3,2,4,6,1] => [6,3,7,2,5,4,1] => [5,6,3,1,7,2,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,3,2,6,1,4] => [6,3,7,1,5,2,4] => [5,6,3,2,7,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,3,2,6,4,1] => [4,3,6,7,5,1,2] => [5,6,3,4,7,2,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,3,4,1,2,6] => [4,1,7,3,5,2,6] => [5,1,4,2,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,3,4,1,6,2] => [4,6,7,3,5,1,2] => [6,5,4,1,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,4,2,1,6] => [2,4,7,3,5,1,6] => [5,2,4,1,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,3,4,2,6,1] => [6,4,7,3,5,2,1] => [5,6,4,1,7,2,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,3,4,6,1,2] => [6,1,7,3,5,4,2] => [6,1,5,2,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,4,6,2,1] => [2,6,7,3,5,4,1] => [6,2,5,1,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,6,1,2,4] => [6,1,7,2,5,3,4] => [6,1,5,3,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,6,1,4,2] => [6,4,7,1,5,3,2] => [5,6,4,3,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,3,6,2,1,4] => [2,6,7,1,5,3,4] => [6,2,5,3,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,6,2,4,1] => [4,6,7,2,5,3,1] => [6,5,4,2,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,6,4,1,2] => [4,1,6,7,5,2,3] => [6,1,5,4,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,3,6,4,2,1] => [2,4,6,7,5,1,3] => [6,2,5,4,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,1,2,3,6] => [4,1,2,7,5,3,6] => [5,1,2,4,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,4,1,2,6,3] => [4,1,7,6,5,3,2] => [6,1,4,5,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,1,3,2,6] => [4,3,1,7,5,2,6] => [3,5,2,4,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[5,7,4,1,3,6,2] => [4,7,2,6,5,3,1] => [6,4,1,5,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,1,6,2,3] => [4,7,1,6,5,2,3] => [6,4,2,5,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,1,6,3,2] => [4,3,7,6,5,2,1] => [4,6,3,5,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,7,4,2,1,3,6] => [2,4,1,7,5,3,6] => [5,2,1,4,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,4,2,1,6,3] => [2,4,7,6,5,3,1] => [6,2,4,5,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,2,3,1,6] => [3,4,2,7,5,1,6] => [5,3,1,4,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,4,2,3,6,1] => [6,4,2,7,5,3,1] => [5,6,1,4,7,2,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,4,2,6,1,3] => [6,4,1,7,5,2,3] => [5,6,2,4,7,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,7,4,2,6,3,1] => [3,6,4,7,5,1,2] => [6,3,5,4,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,3,1,2,6] => [3,1,4,7,5,2,6] => [5,1,3,4,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,4,3,1,6,2] => [3,4,7,6,5,1,2] => [6,4,3,5,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,3,2,1,6] => [2,3,4,7,5,1,6] => [5,2,3,4,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,4,3,2,6,1] => [6,3,4,7,5,2,1] => [3,6,5,4,7,1,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,7,4,3,6,1,2] => [6,1,4,7,5,3,2] => [5,1,6,4,7,2,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,7,4,3,6,2,1] => [2,6,4,7,5,3,1] => [5,2,6,4,7,1,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,7,4,6,1,2,3] => [6,1,2,7,5,4,3] => [6,1,2,5,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,6,1,3,2] => [6,3,1,7,5,4,2] => [3,6,2,5,7,1,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[5,7,4,6,2,1,3] => [2,6,1,7,5,4,3] => [6,2,1,5,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,6,2,3,1] => [3,6,2,7,5,4,1] => [6,3,1,5,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,6,3,1,2] => [3,1,6,7,5,4,2] => [6,1,3,5,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,4,6,3,2,1] => [2,3,6,7,5,4,1] => [6,2,3,5,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,6,1,2,3,4] => [6,1,2,3,5,7,4] => [5,1,2,3,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,1,2,4,3] => [6,1,4,2,5,7,3] => [4,1,5,3,7,6,2] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[5,7,6,1,3,2,4] => [6,3,1,2,5,7,4] => [3,5,2,1,7,6,4] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[5,7,6,1,3,4,2] => [6,4,1,3,5,7,2] => [4,5,2,1,7,6,3] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[5,7,6,1,4,2,3] => [6,4,2,1,5,7,3] => [4,5,1,3,7,6,2] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[5,7,6,1,4,3,2] => [6,3,4,1,5,7,2] => [3,5,4,2,7,6,1] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[5,7,6,2,1,3,4] => [2,6,1,3,5,7,4] => [5,2,1,3,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,2,1,4,3] => [2,6,4,1,5,7,3] => [4,2,5,3,7,6,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[5,7,6,2,3,1,4] => [3,6,2,1,5,7,4] => [5,3,1,2,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,2,3,4,1] => [4,6,2,3,5,7,1] => [5,4,1,2,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,2,4,1,3] => [4,6,1,2,5,7,3] => [5,4,2,3,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,2,4,3,1] => [3,4,6,1,5,7,2] => [5,4,3,2,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,3,1,2,4] => [3,1,6,2,5,7,4] => [5,1,3,2,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,3,1,4,2] => [3,6,4,2,5,7,1] => [5,3,4,1,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,3,2,1,4] => [2,3,6,1,5,7,4] => [5,2,3,1,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,3,2,4,1] => [4,3,6,2,5,7,1] => [4,5,3,1,7,6,2] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[5,7,6,3,4,1,2] => [4,1,6,3,5,7,2] => [5,1,4,2,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,3,4,2,1] => [2,4,6,3,5,7,1] => [5,2,4,1,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,4,1,2,3] => [4,1,2,6,5,7,3] => [5,1,2,4,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,4,1,3,2] => [4,3,1,6,5,7,2] => [3,5,2,4,7,6,1] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[5,7,6,4,2,1,3] => [2,4,1,6,5,7,3] => [5,2,1,4,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,4,2,3,1] => [3,4,2,6,5,7,1] => [5,3,1,4,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,4,3,1,2] => [3,1,4,6,5,7,2] => [5,1,3,4,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,4,3,2,1] => [2,3,4,6,5,7,1] => [5,2,3,4,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,1,2,3,4,7,5] => [6,1,2,3,7,4,5] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,3,5,4,7] => [6,1,2,5,3,4,7] => [5,1,2,6,4,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[6,1,2,3,5,7,4] => [6,1,2,7,3,5,4] => [7,1,2,6,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,3,7,4,5] => [6,1,2,7,4,3,5] => [7,1,2,6,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,3,7,5,4] => [6,1,2,5,7,3,4] => [6,1,2,7,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,2,4,3,5,7] => [6,1,4,2,3,5,7] => [4,1,6,3,2,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[6,1,2,4,3,7,5] => [6,1,4,2,7,3,5] => [4,1,7,3,6,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,1,2,4,5,3,7] => [6,1,5,2,4,3,7] => [5,1,6,3,2,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[6,1,2,4,5,7,3] => [6,1,7,2,4,5,3] => [7,1,6,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,4,7,3,5] => [6,1,7,2,3,4,5] => [7,1,6,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,4,7,5,3] => [6,1,5,2,7,4,3] => [6,1,7,3,5,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,2,5,3,4,7] => [6,1,5,3,2,4,7] => [5,1,6,2,4,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[6,1,2,5,3,7,4] => [6,1,5,7,2,3,4] => [6,1,7,5,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,2,5,4,3,7] => [6,1,4,5,2,3,7] => [4,1,6,5,3,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[6,1,2,5,4,7,3] => [6,1,7,5,2,4,3] => [6,1,5,7,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,2,5,7,3,4] => [6,1,7,3,2,5,4] => [7,1,6,2,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,5,7,4,3] => [6,1,4,7,2,5,3] => [6,1,7,4,3,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,2,7,3,4,5] => [6,1,7,3,4,2,5] => [7,1,6,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,7,3,5,4] => [6,1,7,5,3,2,4] => [6,1,5,7,3,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,2,7,4,3,5] => [6,1,4,7,3,2,5] => [6,1,7,4,2,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,2,7,4,5,3] => [6,1,5,7,4,2,3] => [6,1,7,5,2,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,2,7,5,3,4] => [6,1,5,3,7,2,4] => [6,1,7,2,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,2,7,5,4,3] => [6,1,4,5,7,2,3] => [4,1,7,6,5,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,1,3,2,4,5,7] => [6,3,1,2,4,5,7] => [3,6,2,1,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,1,3,2,4,7,5] => [6,3,1,2,7,4,5] => [3,7,2,1,6,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,3,2,5,4,7] => [6,3,1,5,2,4,7] => [3,5,2,6,4,1,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[6,1,3,2,5,7,4] => [6,3,1,7,2,5,4] => [3,7,2,6,4,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,3,2,7,4,5] => [6,3,1,7,4,2,5] => [3,7,2,6,1,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,3,2,7,5,4] => [6,3,1,5,7,2,4] => [3,6,2,7,5,4,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[6,1,3,4,2,5,7] => [6,4,1,3,2,5,7] => [4,6,2,1,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,1,3,4,2,7,5] => [6,4,1,3,7,2,5] => [4,7,2,1,6,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,1,3,4,5,2,7] => [6,5,1,3,4,2,7] => [5,6,2,1,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,1,3,4,5,7,2] => [6,7,1,3,4,5,2] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,4,7,2,5] => [6,7,1,3,2,4,5] => [7,6,2,1,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,4,7,5,2] => [6,5,1,3,7,4,2] => [6,7,2,1,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,3,5,2,4,7] => [6,5,1,2,3,4,7] => [5,6,2,3,4,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,1,3,5,2,7,4] => [6,5,1,7,3,2,4] => [6,7,2,5,3,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,3,5,4,2,7] => [6,4,1,5,3,2,7] => [4,6,2,5,1,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,1,3,5,4,7,2] => [6,7,1,5,3,4,2] => [6,5,2,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,3,5,7,2,4] => [6,7,1,2,3,5,4] => [7,6,2,3,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,5,7,4,2] => [6,4,1,7,3,5,2] => [6,7,2,4,1,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,3,7,2,4,5] => [6,7,1,2,4,3,5] => [7,6,2,3,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,7,2,5,4] => [6,7,1,5,2,3,4] => [6,5,2,7,4,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,3,7,4,2,5] => [6,4,1,7,2,3,5] => [6,7,2,4,3,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,3,7,4,5,2] => [6,5,1,7,4,3,2] => [6,7,2,5,1,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,3,7,5,2,4] => [6,5,1,2,7,3,4] => [6,7,2,3,5,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,3,7,5,4,2] => [6,4,1,5,7,3,2] => [4,7,2,6,5,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,1,4,2,3,5,7] => [6,4,2,1,3,5,7] => [4,6,1,3,2,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,1,4,2,3,7,5] => [6,4,2,1,7,3,5] => [4,7,1,3,6,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,1,4,2,5,3,7] => [6,4,5,1,2,3,7] => [4,6,5,3,2,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,1,4,2,5,7,3] => [6,4,7,1,2,5,3] => [6,7,4,3,2,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,4,2,7,3,5] => [6,4,7,1,3,2,5] => [6,7,4,3,1,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,4,2,7,5,3] => [6,4,5,1,7,2,3] => [4,7,6,3,5,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,1,4,3,2,5,7] => [6,3,4,1,2,5,7] => [3,6,4,2,1,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,1,4,3,2,7,5] => [6,3,4,1,7,2,5] => [3,7,4,2,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,4,3,5,2,7] => [6,5,4,1,3,2,7] => [4,5,6,3,1,2,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[6,1,4,3,5,7,2] => [6,7,4,1,3,5,2] => [6,4,7,3,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,4,3,7,2,5] => [6,7,4,1,2,3,5] => [6,4,7,3,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,4,3,7,5,2] => [6,5,4,1,7,3,2] => [4,6,7,3,5,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,1,4,5,2,3,7] => [6,5,2,1,4,3,7] => [5,6,1,3,2,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,1,4,5,2,7,3] => [6,5,7,1,4,2,3] => [6,7,5,3,1,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,4,5,3,2,7] => [6,3,5,1,4,2,7] => [3,6,5,2,1,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,1,4,5,3,7,2] => [6,7,5,1,4,3,2] => [6,5,7,3,1,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,4,5,7,2,3] => [6,7,2,1,4,5,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,5,7,3,2] => [6,3,7,1,4,5,2] => [6,7,3,2,1,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,4,7,2,3,5] => [6,7,2,1,3,4,5] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,7,2,5,3] => [6,7,5,1,2,4,3] => [6,5,7,3,4,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,4,7,3,2,5] => [6,3,7,1,2,4,5] => [6,7,3,2,4,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,4,7,3,5,2] => [6,5,7,1,3,4,2] => [6,7,5,3,2,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,4,7,5,2,3] => [6,5,2,1,7,4,3] => [6,7,1,3,5,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,4,7,5,3,2] => [6,3,5,1,7,4,2] => [3,7,6,2,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,5,2,3,4,7] => [6,5,2,3,1,4,7] => [5,6,1,2,4,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,1,5,2,3,7,4] => [6,5,2,7,1,3,4] => [6,7,1,5,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,5,2,4,3,7] => [6,5,4,2,1,3,7] => [4,5,6,2,3,1,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[6,1,5,2,4,7,3] => [6,5,7,2,1,4,3] => [6,7,5,2,4,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,5,2,7,3,4] => [6,5,7,3,1,2,4] => [6,7,5,1,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,5,2,7,4,3] => [6,5,4,7,1,2,3] => [5,6,7,4,3,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,1,5,3,2,4,7] => [6,3,5,2,1,4,7] => [3,6,5,1,4,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,1,5,3,2,7,4] => [6,3,5,7,1,2,4] => [3,7,6,5,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,5,3,4,2,7] => [6,4,5,3,1,2,7] => [4,6,5,1,3,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,1,5,3,4,7,2] => [6,7,5,3,1,4,2] => [6,5,7,1,4,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,5,3,7,2,4] => [6,7,5,2,1,3,4] => [6,5,7,2,4,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,5,3,7,4,2] => [6,4,7,5,1,2,3] => [5,7,4,6,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,1,5,4,2,3,7] => [6,4,2,5,1,3,7] => [4,6,1,5,3,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,1,5,4,2,7,3] => [6,4,5,7,1,3,2] => [5,7,6,4,3,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,1,5,4,3,2,7] => [6,3,4,5,1,2,7] => [3,6,4,5,2,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,1,5,4,3,7,2] => [6,7,4,5,1,3,2] => [5,4,7,6,3,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,1,5,4,7,2,3] => [6,7,2,5,1,4,3] => [6,5,1,7,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,5,4,7,3,2] => [6,3,7,5,1,4,2] => [5,6,3,7,4,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,1,5,7,2,3,4] => [6,7,2,3,1,5,4] => [7,6,1,2,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,7,2,4,3] => [6,7,4,2,1,5,3] => [6,4,7,2,3,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,5,7,3,2,4] => [6,3,7,2,1,5,4] => [6,7,3,1,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,5,7,3,4,2] => [6,4,7,3,1,5,2] => [6,7,4,1,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,5,7,4,2,3] => [6,4,2,7,1,5,3] => [6,7,1,4,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,5,7,4,3,2] => [6,3,4,7,1,5,2] => [3,7,6,4,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,7,2,3,4,5] => [6,7,2,3,4,1,5] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,2,3,5,4] => [6,7,2,5,3,1,4] => [6,5,1,7,3,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,7,2,4,3,5] => [6,7,4,2,3,1,5] => [6,4,7,2,1,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,7,2,4,5,3] => [6,7,5,2,4,1,3] => [6,5,7,2,1,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,7,2,5,3,4] => [6,7,5,3,2,1,4] => [6,5,7,1,3,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,7,2,5,4,3] => [6,7,4,5,2,1,3] => [5,4,7,6,2,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,1,7,3,2,4,5] => [6,3,7,2,4,1,5] => [6,7,3,1,2,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,7,3,2,5,4] => [6,3,7,5,2,1,4] => [5,6,3,7,2,4,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,1,7,3,4,2,5] => [6,4,7,3,2,1,5] => [6,7,4,1,2,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,7,3,4,5,2] => [6,5,7,3,4,1,2] => [6,7,5,1,2,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,7,3,5,2,4] => [6,5,7,2,3,1,4] => [6,7,5,2,3,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,7,3,5,4,2] => [6,4,5,7,2,1,3] => [5,7,6,4,2,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,1,7,4,2,3,5] => [6,4,2,7,3,1,5] => [6,7,1,4,2,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,7,4,2,5,3] => [6,4,7,5,3,1,2] => [5,7,4,6,1,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,1,7,4,3,2,5] => [6,3,4,7,2,1,5] => [3,7,6,4,1,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,7,4,3,5,2] => [6,5,4,7,3,1,2] => [5,6,7,4,1,3,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,1,7,4,5,2,3] => [6,5,2,7,4,1,3] => [6,7,1,5,2,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,7,4,5,3,2] => [6,3,5,7,4,1,2] => [3,7,6,5,1,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,7,5,2,3,4] => [6,5,2,3,7,1,4] => [6,7,1,2,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,7,5,2,4,3] => [6,5,4,2,7,1,3] => [4,6,7,2,5,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,1,7,5,3,2,4] => [6,3,5,2,7,1,4] => [3,7,6,1,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,7,5,3,4,2] => [6,4,5,3,7,1,2] => [4,7,6,1,5,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,1,7,5,4,2,3] => [6,4,2,5,7,1,3] => [4,7,1,6,5,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,1,7,5,4,3,2] => [6,3,4,5,7,1,2] => [3,7,4,6,5,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => [6,2,1,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,1,3,4,7,5] => [2,6,1,3,7,4,5] => [7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,3,5,4,7] => [2,6,1,5,3,4,7] => [5,2,1,6,4,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[6,2,1,3,5,7,4] => [2,6,1,7,3,5,4] => [7,2,1,6,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,3,7,4,5] => [2,6,1,7,4,3,5] => [7,2,1,6,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,3,7,5,4] => [2,6,1,5,7,3,4] => [6,2,1,7,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,2,1,4,3,5,7] => [2,6,4,1,3,5,7] => [4,2,6,3,1,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[6,2,1,4,3,7,5] => [2,6,4,1,7,3,5] => [4,2,7,3,6,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,2,1,4,5,3,7] => [2,6,5,1,4,3,7] => [5,2,6,3,1,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[6,2,1,4,5,7,3] => [2,6,7,1,4,5,3] => [7,2,6,3,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,7,3,5] => [2,6,7,1,3,4,5] => [7,2,6,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,7,5,3] => [2,6,5,1,7,4,3] => [6,2,7,3,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,1,5,3,4,7] => [2,6,5,3,1,4,7] => [5,2,6,1,4,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[6,2,1,5,3,7,4] => [2,6,5,7,1,3,4] => [6,2,7,5,4,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,1,5,4,3,7] => [2,6,4,5,1,3,7] => [4,2,6,5,3,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[6,2,1,5,4,7,3] => [2,6,7,5,1,4,3] => [6,2,5,7,4,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,2,1,5,7,3,4] => [2,6,7,3,1,5,4] => [7,2,6,1,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,5,7,4,3] => [2,6,4,7,1,5,3] => [6,2,7,4,3,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,1,7,3,4,5] => [2,6,7,3,4,1,5] => [7,2,6,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,7,3,5,4] => [2,6,7,5,3,1,4] => [6,2,5,7,3,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,2,1,7,4,3,5] => [2,6,4,7,3,1,5] => [6,2,7,4,1,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,1,7,4,5,3] => [2,6,5,7,4,1,3] => [6,2,7,5,1,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,1,7,5,3,4] => [2,6,5,3,7,1,4] => [6,2,7,1,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,1,7,5,4,3] => [2,6,4,5,7,1,3] => [4,2,7,6,5,3,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,2,3,1,4,5,7] => [3,6,2,1,4,5,7] => [6,3,1,2,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,3,1,4,7,5] => [3,6,2,1,7,4,5] => [7,3,1,2,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,5,4,7] => [3,6,2,5,1,4,7] => [5,3,1,6,4,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[6,2,3,1,5,7,4] => [3,6,2,7,1,5,4] => [7,3,1,6,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,7,4,5] => [3,6,2,7,4,1,5] => [7,3,1,6,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,7,5,4] => [3,6,2,5,7,1,4] => [6,3,1,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,2,3,4,1,5,7] => [4,6,2,3,1,5,7] => [6,4,1,2,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,3,4,1,7,5] => [4,6,2,3,7,1,5] => [7,4,1,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,4,5,1,7] => [5,6,2,3,4,1,7] => [6,5,1,2,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,3,4,5,7,1] => [7,6,2,3,4,5,1] => [6,7,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,3,4,7,1,5] => [7,6,2,3,1,4,5] => [6,7,1,2,4,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,3,4,7,5,1] => [5,7,1,3,6,4,2] => [7,5,2,1,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,5,1,4,7] => [5,6,2,1,3,4,7] => [6,5,1,3,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,3,5,1,7,4] => [5,6,2,7,3,1,4] => [7,6,1,5,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,5,4,1,7] => [4,5,1,6,3,2,7] => [6,5,2,4,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,3,5,4,7,1] => [7,6,2,5,3,4,1] => [5,6,1,7,3,2,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,2,3,5,7,1,4] => [7,6,2,1,3,5,4] => [6,7,1,3,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,3,5,7,4,1] => [4,7,1,6,3,5,2] => [7,4,2,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,1,4,5] => [7,6,2,1,4,3,5] => [6,7,1,3,2,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,3,7,1,5,4] => [7,6,2,5,1,3,4] => [5,6,1,7,4,3,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,2,3,7,4,1,5] => [4,7,1,6,2,3,5] => [7,4,2,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,4,5,1] => [5,6,2,7,4,3,1] => [7,6,1,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,5,1,4] => [5,7,1,2,6,3,4] => [7,5,2,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,5,4,1] => [4,5,2,7,6,3,1] => [7,5,1,4,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,3,5,7] => [4,6,1,2,3,5,7] => [6,4,2,3,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,4,1,3,7,5] => [4,6,1,2,7,3,5] => [7,4,2,3,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,5,3,7] => [4,6,5,2,1,3,7] => [6,4,5,2,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,4,1,5,7,3] => [4,6,7,2,1,5,3] => [7,6,4,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,7,3,5] => [4,6,7,2,3,1,5] => [7,6,4,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,7,5,3] => [4,6,5,2,7,1,3] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,3,1,5,7] => [3,4,6,1,2,5,7] => [6,4,3,2,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,4,3,1,7,5] => [3,4,6,1,7,2,5] => [7,4,3,2,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,3,5,1,7] => [5,6,4,2,3,1,7] => [5,4,6,2,1,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[6,2,4,3,5,7,1] => [7,6,4,2,3,5,1] => [4,6,7,2,1,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,2,4,3,7,1,5] => [7,6,4,2,1,3,5] => [4,6,7,2,3,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,2,4,3,7,5,1] => [5,7,4,1,6,3,2] => [5,4,7,3,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,2,4,5,1,3,7] => [5,6,1,2,4,3,7] => [6,5,2,3,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,4,5,1,7,3] => [5,6,7,2,4,1,3] => [7,6,5,2,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,5,3,1,7] => [3,5,6,1,4,2,7] => [6,5,3,2,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,4,5,3,7,1] => [7,6,5,2,4,3,1] => [5,6,7,2,1,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,2,4,5,7,1,3] => [7,6,1,2,4,5,3] => [6,7,2,3,1,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,4,5,7,3,1] => [3,7,6,1,4,5,2] => [7,3,6,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,1,3,5] => [7,6,1,2,3,4,5] => [6,7,2,3,4,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,4,7,1,5,3] => [7,6,5,2,1,4,3] => [5,6,7,2,4,1,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,2,4,7,3,1,5] => [3,7,6,1,2,4,5] => [7,3,6,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,3,5,1] => [5,6,7,2,3,4,1] => [7,6,5,2,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,5,1,3] => [5,7,2,1,6,4,3] => [7,5,1,3,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,5,3,1] => [3,5,7,2,6,4,1] => [7,5,3,1,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,3,4,7] => [5,6,1,3,2,4,7] => [6,5,2,1,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,5,1,3,7,4] => [5,6,1,7,2,3,4] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,4,3,7] => [5,6,4,1,2,3,7] => [5,4,6,3,2,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[6,2,5,1,4,7,3] => [5,6,7,1,2,4,3] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,7,3,4] => [5,6,7,3,2,1,4] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,7,4,3] => [5,6,4,7,2,1,3] => [6,5,7,4,2,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,5,3,1,4,7] => [3,5,6,2,1,4,7] => [6,5,3,1,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,5,3,1,7,4] => [3,5,6,7,1,2,4] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,3,4,1,7] => [4,6,5,3,2,1,7] => [6,4,5,1,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,5,3,4,7,1] => [7,6,5,3,2,4,1] => [5,6,7,1,3,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,2,5,3,7,1,4] => [7,6,5,1,2,3,4] => [5,6,7,3,4,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,2,5,3,7,4,1] => [4,7,6,5,3,1,2] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,4,1,3,7] => [4,5,2,6,1,3,7] => [6,5,1,4,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,5,4,1,7,3] => [4,5,6,7,3,2,1] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,4,3,1,7] => [3,4,5,6,2,1,7] => [6,5,3,4,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,5,4,3,7,1] => [7,6,4,5,2,3,1] => [4,5,7,6,2,1,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[6,2,5,4,7,1,3] => [7,6,1,5,2,4,3] => [5,6,2,7,4,1,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,2,5,4,7,3,1] => [3,7,6,5,1,4,2] => [6,3,5,7,4,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,2,5,7,1,3,4] => [7,6,1,3,2,5,4] => [6,7,2,1,4,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,5,7,1,4,3] => [7,6,4,1,2,5,3] => [4,6,7,3,2,1,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,2,5,7,3,1,4] => [3,7,6,2,1,5,4] => [7,3,6,1,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,7,3,4,1] => [4,6,7,3,2,5,1] => [7,6,4,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,7,4,1,3] => [4,7,2,6,1,5,3] => [7,4,1,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,7,4,3,1] => [3,4,7,6,2,5,1] => [7,4,3,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,1,3,4,5] => [7,6,1,3,4,2,5] => [6,7,2,1,3,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,7,1,3,5,4] => [7,6,1,5,3,2,4] => [5,6,2,7,3,4,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,2,7,1,4,3,5] => [7,6,4,1,3,2,5] => [4,6,7,3,1,5,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,2,7,1,4,5,3] => [7,6,5,1,4,2,3] => [5,6,7,3,1,4,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,2,7,1,5,3,4] => [7,6,5,3,1,2,4] => [5,6,7,1,4,3,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,2,7,1,5,4,3] => [7,6,4,5,1,2,3] => [4,5,7,6,3,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[6,2,7,3,1,4,5] => [3,7,6,2,4,1,5] => [7,3,6,1,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,1,5,4] => [3,7,6,5,2,1,4] => [6,3,5,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,2,7,3,4,1,5] => [4,6,7,3,1,2,5] => [7,6,4,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,4,5,1] => [5,6,7,3,4,2,1] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,5,1,4] => [5,6,7,1,3,2,4] => [7,6,5,3,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,5,4,1] => [4,5,6,7,1,3,2] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,1,3,5] => [4,7,2,6,3,1,5] => [7,4,1,6,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,1,5,3] => [4,7,6,5,2,3,1] => [7,4,5,6,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,3,1,5] => [3,4,7,6,1,2,5] => [7,4,3,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,3,5,1] => [5,6,4,7,3,2,1] => [6,5,7,4,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,7,4,5,1,3] => [5,6,1,7,4,2,3] => [7,6,2,5,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,5,3,1] => [3,5,6,7,4,1,2] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,1,3,4] => [5,7,2,3,6,1,4] => [7,5,1,2,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,1,4,3] => [5,7,4,2,6,1,3] => [5,4,7,2,6,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,2,7,5,3,1,4] => [3,5,7,1,6,2,4] => [7,5,3,2,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,3,4,1] => [4,6,5,3,7,2,1] => [7,4,6,1,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,4,1,3] => [4,5,1,7,6,2,3] => [7,5,2,4,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,4,3,1] => [3,4,5,7,6,1,2] => [7,5,3,4,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,4,5,7] => [3,1,6,2,4,5,7] => [6,1,3,2,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,1,2,4,7,5] => [3,1,6,2,7,4,5] => [7,1,3,2,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,5,4,7] => [3,1,6,5,2,4,7] => [5,1,3,6,4,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[6,3,1,2,5,7,4] => [3,1,6,7,2,5,4] => [7,1,3,6,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,7,4,5] => [3,1,6,7,4,2,5] => [7,1,3,6,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,7,5,4] => [3,1,6,5,7,2,4] => [6,1,3,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,3,1,4,2,5,7] => [3,6,4,2,1,5,7] => [6,3,4,1,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,1,4,2,7,5] => [3,6,4,2,7,1,5] => [7,3,4,1,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,4,5,2,7] => [3,6,5,2,4,1,7] => [6,3,5,1,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,1,4,5,7,2] => [3,6,7,2,4,5,1] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,4,7,2,5] => [3,6,7,2,1,4,5] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,4,7,5,2] => [3,6,5,2,7,4,1] => [7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,5,2,4,7] => [3,6,5,1,2,4,7] => [6,3,5,2,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,1,5,2,7,4] => [3,6,5,7,2,1,4] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,5,4,2,7] => [3,6,4,5,2,1,7] => [6,3,4,5,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,1,5,4,7,2] => [3,6,7,5,2,4,1] => [6,5,3,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,3,1,5,7,2,4] => [3,6,7,1,2,5,4] => [7,6,3,2,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,5,7,4,2] => [3,6,4,7,2,5,1] => [7,3,6,4,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,2,4,5] => [3,6,7,1,4,2,5] => [7,6,3,2,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,2,5,4] => [3,6,7,5,1,2,4] => [6,5,3,7,4,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,3,1,7,4,2,5] => [3,6,4,7,1,2,5] => [7,3,6,4,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,4,5,2] => [3,6,5,7,4,2,1] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,5,2,4] => [3,6,5,1,7,2,4] => [7,3,6,2,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,5,4,2] => [3,6,4,5,7,2,1] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,4,5,7] => [2,3,6,1,4,5,7] => [6,2,3,1,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,2,1,4,7,5] => [2,3,6,1,7,4,5] => [7,2,3,1,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,5,4,7] => [2,3,6,5,1,4,7] => [5,2,3,6,4,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[6,3,2,1,5,7,4] => [2,3,6,7,1,5,4] => [7,2,3,6,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,7,4,5] => [2,3,6,7,4,1,5] => [7,2,3,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,7,5,4] => [2,3,6,5,7,1,4] => [6,2,3,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,3,2,4,1,5,7] => [4,3,6,2,1,5,7] => [4,6,3,1,2,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,3,2,4,1,7,5] => [4,3,6,2,7,1,5] => [4,7,3,1,6,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,2,4,5,1,7] => [5,3,6,2,4,1,7] => [5,6,3,1,2,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,3,2,4,5,7,1] => [7,3,6,2,4,5,1] => [3,7,6,1,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,3,2,4,7,1,5] => [7,3,6,2,1,4,5] => [3,7,6,1,4,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,3,2,4,7,5,1] => [5,3,7,1,6,4,2] => [5,7,3,2,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,2,5,1,4,7] => [5,3,6,1,2,4,7] => [5,6,3,2,4,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,3,2,5,1,7,4] => [5,3,6,7,2,1,4] => [6,7,3,5,2,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,3,2,5,4,1,7] => [4,3,5,6,1,2,7] => [5,6,3,4,2,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,3,2,5,4,7,1] => [7,3,6,5,2,4,1] => [3,6,5,7,2,1,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[6,3,2,5,7,1,4] => [7,3,6,1,2,5,4] => [3,7,6,2,4,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,3,2,5,7,4,1] => [4,3,7,6,1,5,2] => [4,7,3,6,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,2,7,1,4,5] => [7,3,6,1,4,2,5] => [3,7,6,2,1,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,3,2,7,1,5,4] => [7,3,6,5,1,2,4] => [3,6,5,7,4,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[6,3,2,7,4,1,5] => [4,3,7,6,2,1,5] => [4,7,3,6,1,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,2,7,4,5,1] => [5,3,6,7,4,2,1] => [6,7,3,5,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,3,2,7,5,1,4] => [5,3,7,2,6,1,4] => [5,7,3,1,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,2,7,5,4,1] => [4,3,5,7,6,2,1] => [5,7,3,4,6,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,4,1,2,5,7] => [4,1,6,3,2,5,7] => [6,1,4,2,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,4,1,2,7,5] => [4,1,6,3,7,2,5] => [7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,1,5,2,7] => [4,5,6,3,1,2,7] => [6,5,4,1,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,4,1,5,7,2] => [4,7,6,3,1,5,2] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,1,7,2,5] => [4,7,6,3,2,1,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,1,7,5,2] => [4,5,7,2,6,1,3] => [7,5,4,2,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,1,5,7] => [2,4,6,3,1,5,7] => [6,2,4,1,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,4,2,1,7,5] => [2,4,6,3,7,1,5] => [7,2,4,1,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,5,1,7] => [5,4,6,3,2,1,7] => [5,6,4,1,2,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,3,4,2,5,7,1] => [7,4,6,3,2,5,1] => [4,7,6,1,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,4,2,7,1,5] => [7,4,6,3,1,2,5] => [4,7,6,1,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,4,2,7,5,1] => [5,4,7,1,6,2,3] => [5,7,4,3,6,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,4,5,1,2,7] => [5,1,6,3,4,2,7] => [6,1,5,2,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,4,5,1,7,2] => [5,7,6,3,4,1,2] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,5,2,1,7] => [2,5,6,3,4,1,7] => [6,2,5,1,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,4,5,2,7,1] => [7,5,6,3,4,2,1] => [5,7,6,1,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,4,5,7,1,2] => [7,1,6,3,4,5,2] => [6,1,7,2,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,3,4,5,7,2,1] => [2,7,6,3,4,5,1] => [6,2,7,1,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,3,4,7,1,2,5] => [7,1,6,3,2,4,5] => [6,1,7,2,4,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,3,4,7,1,5,2] => [7,5,6,3,1,4,2] => [5,7,6,1,4,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,4,7,2,1,5] => [2,7,6,3,1,4,5] => [6,2,7,1,4,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,3,4,7,2,5,1] => [5,7,6,3,2,4,1] => [7,5,6,1,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,7,5,1,2] => [5,1,7,2,6,4,3] => [7,1,5,3,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,7,5,2,1] => [2,5,7,1,6,4,3] => [7,2,5,3,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,2,4,7] => [5,1,6,2,3,4,7] => [6,1,5,3,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,5,1,2,7,4] => [5,1,6,7,3,2,4] => [7,1,6,5,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,4,2,7] => [5,4,6,1,3,2,7] => [5,6,4,3,1,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,3,5,1,4,7,2] => [5,7,6,1,3,4,2] => [7,5,6,3,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,7,2,4] => [5,7,6,2,3,1,4] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,7,4,2] => [5,4,7,6,2,1,3] => [6,7,4,5,2,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,3,5,2,1,4,7] => [2,5,6,1,3,4,7] => [6,2,5,3,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,5,2,1,7,4] => [2,5,6,7,3,1,4] => [7,2,6,5,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,2,4,1,7] => [4,5,6,2,3,1,7] => [6,5,4,2,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,5,2,4,7,1] => [7,5,6,2,3,4,1] => [5,7,6,2,3,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,5,2,7,1,4] => [7,5,6,1,3,2,4] => [5,7,6,3,2,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,5,2,7,4,1] => [4,7,5,6,1,3,2] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,4,1,2,7] => [4,1,5,6,2,3,7] => [6,1,5,4,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,5,4,1,7,2] => [4,5,7,6,1,2,3] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,4,2,1,7] => [2,4,5,6,1,3,7] => [6,2,5,4,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,5,4,2,7,1] => [7,4,5,6,2,3,1] => [4,7,6,5,2,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,5,4,7,1,2] => [7,1,6,5,3,4,2] => [5,1,6,7,3,2,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[6,3,5,4,7,2,1] => [2,7,6,5,3,4,1] => [5,2,6,7,3,1,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[6,3,5,7,1,2,4] => [7,1,6,2,3,5,4] => [6,1,7,3,4,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,3,5,7,1,4,2] => [7,4,6,1,3,5,2] => [4,7,6,3,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,5,7,2,1,4] => [2,7,6,1,3,5,4] => [6,2,7,3,4,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,3,5,7,2,4,1] => [4,7,6,2,3,5,1] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,7,4,1,2] => [4,1,7,6,2,5,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,7,4,2,1] => [2,4,7,6,1,5,3] => [7,2,4,6,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,1,2,4,5] => [7,1,6,2,4,3,5] => [6,1,7,3,2,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,3,7,1,2,5,4] => [7,1,6,5,2,3,4] => [5,1,6,7,4,3,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[6,3,7,1,4,2,5] => [7,4,6,1,2,3,5] => [4,7,6,3,2,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,7,1,4,5,2] => [7,5,6,1,4,3,2] => [5,7,6,3,1,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,7,1,5,2,4] => [7,5,6,2,1,3,4] => [5,7,6,2,4,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,7,1,5,4,2] => [7,4,5,6,1,2,3] => [4,7,6,5,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,7,2,1,4,5] => [2,7,6,1,4,3,5] => [6,2,7,3,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,3,7,2,1,5,4] => [2,7,6,5,1,3,4] => [5,2,6,7,4,3,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[6,3,7,2,4,1,5] => [4,7,6,2,1,3,5] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,4,5,1] => [5,7,6,2,4,3,1] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,5,1,4] => [5,7,6,1,2,3,4] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,5,4,1] => [4,5,7,6,3,1,2] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,1,2,5] => [4,1,7,6,3,2,5] => [7,1,4,6,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,1,5,2] => [4,7,5,6,2,1,3] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,2,1,5] => [2,4,7,6,3,1,5] => [7,2,4,6,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,2,5,1] => [5,4,7,6,3,2,1] => [6,7,4,5,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,3,7,4,5,1,2] => [5,1,6,7,4,3,2] => [7,1,6,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,5,2,1] => [2,5,6,7,4,3,1] => [7,2,6,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,1,2,4] => [5,1,7,3,6,2,4] => [7,1,5,2,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,1,4,2] => [5,4,7,3,6,1,2] => [5,7,4,1,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,7,5,2,1,4] => [2,5,7,3,6,1,4] => [7,2,5,1,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,2,4,1] => [4,5,7,3,6,2,1] => [7,5,4,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,4,1,2] => [4,1,5,7,6,3,2] => [7,1,5,4,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,4,2,1] => [2,4,5,7,6,3,1] => [7,2,5,4,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,3,5,7] => [4,1,2,6,3,5,7] => [6,1,2,4,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,1,2,3,7,5] => [4,1,2,6,7,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,5,3,7] => [4,1,6,5,3,2,7] => [6,1,4,5,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,1,2,5,7,3] => [4,1,6,7,3,5,2] => [7,1,6,4,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,7,3,5] => [4,1,6,7,2,3,5] => [7,1,6,4,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,7,5,3] => [4,1,6,5,7,3,2] => [7,1,4,6,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,2,5,7] => [4,3,1,6,2,5,7] => [3,6,2,4,1,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,4,1,3,2,7,5] => [4,3,1,6,7,2,5] => [3,7,2,4,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,4,1,3,5,2,7] => [4,6,2,5,3,1,7] => [6,4,1,5,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,1,3,5,7,2] => [4,6,2,7,3,5,1] => [7,6,1,4,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,7,2,5] => [4,6,2,7,1,3,5] => [7,6,1,4,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,7,5,2] => [4,6,2,5,7,3,1] => [7,4,1,6,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,2,3,7] => [4,6,1,5,2,3,7] => [6,4,2,5,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,1,5,2,7,3] => [4,6,5,7,2,3,1] => [7,5,6,4,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,3,2,7] => [4,3,6,5,2,1,7] => [4,6,3,5,1,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,4,1,5,3,7,2] => [4,6,7,5,2,1,3] => [7,5,4,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,7,2,3] => [4,6,1,7,2,5,3] => [7,6,2,4,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,7,3,2] => [4,3,6,7,2,5,1] => [6,7,3,4,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,4,1,7,2,3,5] => [4,6,1,7,3,2,5] => [7,6,2,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,2,5,3] => [4,6,7,5,3,2,1] => [7,5,4,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,3,2,5] => [4,3,6,7,1,2,5] => [6,7,3,4,2,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,4,1,7,3,5,2] => [4,6,5,7,1,2,3] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,5,2,3] => [4,6,1,5,7,2,3] => [7,4,2,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,5,3,2] => [4,3,6,5,7,2,1] => [4,7,3,6,5,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,4,2,1,3,5,7] => [2,4,1,6,3,5,7] => [6,2,1,4,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,2,1,3,7,5] => [2,4,1,6,7,3,5] => [7,2,1,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,5,3,7] => [2,4,6,5,3,1,7] => [6,2,4,5,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,2,1,5,7,3] => [2,4,6,7,3,5,1] => [7,2,6,4,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,7,3,5] => [2,4,6,7,1,3,5] => [7,2,6,4,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,7,5,3] => [2,4,6,5,7,3,1] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,3,1,5,7] => [3,4,2,6,1,5,7] => [6,3,1,4,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,2,3,1,7,5] => [3,4,2,6,7,1,5] => [7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,3,5,1,7] => [5,4,2,6,3,1,7] => [5,6,1,4,2,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,4,2,3,5,7,1] => [7,4,2,6,3,5,1] => [4,7,1,6,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,4,2,3,7,1,5] => [7,4,2,6,1,3,5] => [4,7,1,6,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,4,2,3,7,5,1] => [5,4,1,7,6,3,2] => [5,7,2,4,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,2,5,1,3,7] => [5,4,1,6,2,3,7] => [5,6,2,4,3,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[6,4,2,5,1,7,3] => [5,4,6,7,3,1,2] => [6,7,5,4,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,4,2,5,3,1,7] => [3,5,4,6,1,2,7] => [6,3,5,4,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,2,5,3,7,1] => [7,4,6,5,3,2,1] => [4,7,5,6,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,4,2,5,7,1,3] => [7,4,1,6,2,5,3] => [4,7,2,6,3,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,4,2,5,7,3,1] => [3,7,4,6,1,5,2] => [7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,7,1,3,5] => [7,4,1,6,3,2,5] => [4,7,2,6,1,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,4,2,7,1,5,3] => [7,4,6,5,1,3,2] => [4,7,5,6,3,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,4,2,7,3,1,5] => [3,7,4,6,2,1,5] => [7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,7,3,5,1] => [5,4,6,7,2,3,1] => [6,7,5,4,2,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,4,2,7,5,1,3] => [5,4,2,7,6,1,3] => [5,7,1,4,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,2,7,5,3,1] => [3,5,4,7,6,2,1] => [7,3,5,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,2,5,7] => [3,1,4,6,2,5,7] => [6,1,3,4,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,3,1,2,7,5] => [3,1,4,6,7,2,5] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,5,2,7] => [3,4,6,5,1,2,7] => [6,4,3,5,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,3,1,5,7,2] => [3,4,6,7,1,5,2] => [7,6,3,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,7,2,5] => [3,4,6,7,2,1,5] => [7,6,3,4,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,7,5,2] => [3,4,6,5,7,1,2] => [7,4,3,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,2,1,5,7] => [2,3,4,6,1,5,7] => [6,2,3,4,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,3,2,1,7,5] => [2,3,4,6,7,1,5] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,2,5,1,7] => [5,3,4,6,2,1,7] => [3,6,5,4,1,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,4,3,2,5,7,1] => [7,3,4,6,2,5,1] => [3,7,4,6,1,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,4,3,2,7,1,5] => [7,3,4,6,1,2,5] => [3,7,4,6,2,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,4,3,2,7,5,1] => [5,3,4,7,6,1,2] => [3,7,5,4,6,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,4,3,5,1,2,7] => [5,1,4,6,3,2,7] => [5,1,6,4,2,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[6,4,3,5,1,7,2] => [5,7,4,6,3,1,2] => [6,4,7,5,1,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,4,3,5,2,1,7] => [2,5,4,6,3,1,7] => [5,2,6,4,1,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[6,4,3,5,2,7,1] => [7,5,4,6,3,2,1] => [4,6,7,5,1,2,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,4,3,5,7,1,2] => [7,1,4,6,3,5,2] => [4,1,7,6,2,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,4,3,5,7,2,1] => [2,7,4,6,3,5,1] => [4,2,7,6,1,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,4,3,7,1,2,5] => [7,1,4,6,2,3,5] => [4,1,7,6,3,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,4,3,7,1,5,2] => [7,5,4,6,1,3,2] => [4,6,7,5,3,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,4,3,7,2,1,5] => [2,7,4,6,1,3,5] => [4,2,7,6,3,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,4,3,7,2,5,1] => [5,7,4,6,2,3,1] => [6,4,7,5,2,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,4,3,7,5,1,2] => [5,1,4,7,6,2,3] => [5,1,7,4,6,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,4,3,7,5,2,1] => [2,5,4,7,6,1,3] => [5,2,7,4,6,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,4,5,1,2,3,7] => [5,1,2,6,4,3,7] => [6,1,2,5,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,5,1,2,7,3] => [5,1,7,6,4,2,3] => [7,1,5,6,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,1,3,2,7] => [5,3,1,6,4,2,7] => [3,6,2,5,1,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,4,5,1,3,7,2] => [5,7,1,6,4,3,2] => [7,5,2,6,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,1,7,2,3] => [5,7,2,6,4,1,3] => [7,5,1,6,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,1,7,3,2] => [5,3,7,6,4,1,2] => [5,7,3,6,1,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,5,2,1,3,7] => [2,5,1,6,4,3,7] => [6,2,1,5,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,5,2,1,7,3] => [2,5,7,6,4,1,3] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,3,1,7] => [3,5,2,6,4,1,7] => [6,3,1,5,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,5,2,3,7,1] => [7,5,2,6,4,3,1] => [5,7,1,6,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,5,2,7,1,3] => [7,5,1,6,4,2,3] => [5,7,2,6,1,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,5,2,7,3,1] => [3,7,5,6,4,1,2] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,3,1,2,7] => [3,1,5,6,4,2,7] => [6,1,3,5,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,5,3,1,7,2] => [3,5,7,6,4,2,1] => [7,5,3,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,3,2,1,7] => [2,3,5,6,4,1,7] => [6,2,3,5,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,5,3,2,7,1] => [7,3,5,6,4,2,1] => [3,7,5,6,1,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,4,5,3,7,1,2] => [7,1,5,6,4,3,2] => [5,1,7,6,2,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,4,5,3,7,2,1] => [2,7,5,6,4,3,1] => [5,2,7,6,1,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,4,5,7,1,2,3] => [7,1,2,6,4,5,3] => [6,1,2,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,5,7,1,3,2] => [7,3,1,6,4,5,2] => [3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[6,4,5,7,2,1,3] => [2,7,1,6,4,5,3] => [6,2,1,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,5,7,2,3,1] => [3,7,2,6,4,5,1] => [6,3,1,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,5,7,3,1,2] => [3,1,7,6,4,5,2] => [6,1,3,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,5,7,3,2,1] => [2,3,7,6,4,5,1] => [6,2,3,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,7,1,2,3,5] => [7,1,2,6,3,4,5] => [6,1,2,7,4,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,7,1,2,5,3] => [7,1,5,6,2,4,3] => [5,1,7,6,4,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,4,7,1,3,2,5] => [7,3,1,6,2,4,5] => [3,6,2,7,4,5,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[6,4,7,1,3,5,2] => [7,5,1,6,3,4,2] => [5,7,2,6,3,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,7,1,5,2,3] => [7,5,2,6,1,4,3] => [5,7,1,6,4,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,7,1,5,3,2] => [7,3,5,6,1,4,2] => [3,7,5,6,4,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,4,7,2,1,3,5] => [2,7,1,6,3,4,5] => [6,2,1,7,4,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,7,2,1,5,3] => [2,7,5,6,1,4,3] => [5,2,7,6,4,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,4,7,2,3,1,5] => [3,7,2,6,1,4,5] => [6,3,1,7,4,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,7,2,3,5,1] => [5,7,2,6,3,4,1] => [7,5,1,6,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,2,5,1,3] => [5,7,1,6,2,4,3] => [7,5,2,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,2,5,3,1] => [3,5,7,6,1,4,2] => [7,5,3,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,1,2,5] => [3,1,7,6,2,4,5] => [6,1,3,7,4,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,7,3,1,5,2] => [3,7,5,6,2,4,1] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,2,1,5] => [2,3,7,6,1,4,5] => [6,2,3,7,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,4,7,3,2,5,1] => [5,3,7,6,2,4,1] => [5,7,3,6,2,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,7,3,5,1,2] => [5,1,7,6,3,4,2] => [7,1,5,6,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,5,2,1] => [2,5,7,6,3,4,1] => [7,2,5,6,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,1,2,3] => [5,1,2,7,6,3,4] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,1,3,2] => [5,3,1,7,6,2,4] => [3,7,2,5,6,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,4,7,5,2,1,3] => [2,5,1,7,6,3,4] => [7,2,1,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,2,3,1] => [3,5,2,7,6,1,4] => [7,3,1,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,3,1,2] => [3,1,5,7,6,2,4] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,3,2,1] => [2,3,5,7,6,1,4] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,3,4,7] => [5,1,2,3,6,4,7] => [6,1,2,3,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,1,2,3,7,4] => [5,1,2,6,7,4,3] => [7,1,2,6,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,4,3,7] => [5,1,4,2,6,3,7] => [4,1,6,3,5,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[6,5,1,2,4,7,3] => [5,1,6,3,7,4,2] => [7,1,6,2,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,7,3,4] => [5,1,6,2,7,3,4] => [7,1,6,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,7,4,3] => [5,1,4,6,7,3,2] => [6,1,7,4,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,5,1,3,2,4,7] => [5,3,1,2,6,4,7] => [3,6,2,1,5,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,5,1,3,2,7,4] => [5,3,1,6,7,4,2] => [3,7,2,6,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,5,1,3,4,2,7] => [5,4,1,3,6,2,7] => [4,6,2,1,5,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,5,1,3,4,7,2] => [5,6,2,3,7,4,1] => [7,6,1,2,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,7,2,4] => [5,6,2,1,7,3,4] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,7,4,2] => [5,4,2,6,7,3,1] => [6,7,1,4,5,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,1,4,2,3,7] => [5,4,2,1,6,3,7] => [4,6,1,3,5,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,5,1,4,2,7,3] => [5,4,6,3,7,2,1] => [6,7,4,1,5,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,1,4,3,2,7] => [5,3,4,1,6,2,7] => [3,6,4,2,5,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,5,1,4,3,7,2] => [5,6,4,2,7,3,1] => [6,4,7,2,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,5,1,4,7,2,3] => [5,6,1,2,7,4,3] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,4,7,3,2] => [5,3,6,2,7,4,1] => [6,7,3,1,5,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,1,7,2,3,4] => [5,6,1,3,7,2,4] => [7,6,2,1,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,7,2,4,3] => [5,6,4,1,7,2,3] => [6,4,7,3,5,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,5,1,7,3,2,4] => [5,3,6,1,7,2,4] => [6,7,3,2,5,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,1,7,3,4,2] => [5,4,6,1,7,3,2] => [6,7,4,3,5,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,1,7,4,2,3] => [5,4,1,6,7,2,3] => [6,7,2,4,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,1,7,4,3,2] => [5,3,4,6,7,2,1] => [3,7,6,4,5,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,5,2,1,3,4,7] => [2,5,1,3,6,4,7] => [6,2,1,3,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,2,1,3,7,4] => [2,5,1,6,7,4,3] => [7,2,1,6,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,1,4,3,7] => [2,5,4,1,6,3,7] => [4,2,6,3,5,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[6,5,2,1,4,7,3] => [2,5,6,3,7,4,1] => [7,2,6,1,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,1,7,3,4] => [2,5,6,1,7,3,4] => [7,2,6,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,1,7,4,3] => [2,5,4,6,7,3,1] => [6,2,7,4,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,5,2,3,1,4,7] => [3,5,2,1,6,4,7] => [6,3,1,2,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,2,3,1,7,4] => [3,5,2,6,7,4,1] => [7,3,1,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,3,4,1,7] => [4,5,2,3,6,1,7] => [6,4,1,2,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,2,3,4,7,1] => [7,5,2,3,6,4,1] => [5,7,1,2,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,5,2,3,7,1,4] => [7,5,2,1,6,3,4] => [5,7,1,3,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,5,2,3,7,4,1] => [4,7,1,5,6,3,2] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,1,3,7] => [4,5,1,2,6,3,7] => [6,4,2,3,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,2,4,1,7,3] => [4,5,6,3,7,1,2] => [7,6,4,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,3,1,7] => [3,4,5,1,6,2,7] => [6,4,3,2,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,2,4,3,7,1] => [7,5,4,2,6,3,1] => [4,5,7,2,6,1,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[6,5,2,4,7,1,3] => [7,5,1,2,6,4,3] => [5,7,2,3,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,5,2,4,7,3,1] => [3,7,5,1,6,4,2] => [7,3,5,2,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,1,3,4] => [7,5,1,3,6,2,4] => [5,7,2,1,6,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,5,2,7,1,4,3] => [7,5,4,1,6,2,3] => [4,5,7,3,6,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[6,5,2,7,3,1,4] => [3,7,5,2,6,1,4] => [7,3,5,1,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,3,4,1] => [4,5,6,2,7,3,1] => [7,6,4,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,4,1,3] => [4,7,2,5,6,1,3] => [7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,4,3,1] => [3,4,7,5,6,2,1] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,2,4,7] => [3,1,5,2,6,4,7] => [6,1,3,2,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,3,1,2,7,4] => [3,1,5,6,7,4,2] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,4,2,7] => [3,5,4,2,6,1,7] => [6,3,4,1,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,3,1,4,7,2] => [3,5,6,1,7,4,2] => [7,6,3,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,7,2,4] => [3,5,6,2,7,1,4] => [7,6,3,1,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,7,4,2] => [3,5,4,6,7,1,2] => [7,3,6,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,2,1,4,7] => [2,3,5,1,6,4,7] => [6,2,3,1,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,3,2,1,7,4] => [2,3,5,6,7,4,1] => [7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,2,4,1,7] => [4,3,5,2,6,1,7] => [4,6,3,1,5,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,5,3,2,4,7,1] => [7,3,5,2,6,4,1] => [3,7,5,1,6,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,5,3,2,7,1,4] => [7,3,5,1,6,2,4] => [3,7,5,2,6,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,5,3,2,7,4,1] => [4,3,7,5,6,1,2] => [4,7,3,5,6,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,5,3,4,1,2,7] => [4,1,5,3,6,2,7] => [6,1,4,2,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,3,4,1,7,2] => [4,7,5,3,6,1,2] => [7,4,5,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,4,2,1,7] => [2,4,5,3,6,1,7] => [6,2,4,1,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,3,4,2,7,1] => [7,4,5,3,6,2,1] => [4,7,5,1,6,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,5,3,4,7,1,2] => [7,1,5,3,6,4,2] => [5,1,7,2,6,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,5,3,4,7,2,1] => [2,7,5,3,6,4,1] => [5,2,7,1,6,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,5,3,7,1,2,4] => [7,1,5,2,6,3,4] => [5,1,7,3,6,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,5,3,7,1,4,2] => [7,4,5,1,6,3,2] => [4,7,5,3,6,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,5,3,7,2,1,4] => [2,7,5,1,6,3,4] => [5,2,7,3,6,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,5,3,7,2,4,1] => [4,7,5,2,6,3,1] => [7,4,5,2,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,4,1,2] => [4,1,7,5,6,2,3] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,4,2,1] => [2,4,7,5,6,1,3] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,2,3,7] => [4,1,2,5,6,3,7] => [6,1,2,4,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,4,1,2,7,3] => [4,1,5,6,7,2,3] => [7,1,6,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,3,2,7] => [4,3,1,5,6,2,7] => [3,6,2,4,5,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,5,4,1,3,7,2] => [4,5,1,6,7,3,2] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,7,2,3] => [4,5,2,6,7,1,3] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,7,3,2] => [4,3,5,6,7,1,2] => [6,7,3,4,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,4,2,1,3,7] => [2,4,1,5,6,3,7] => [6,2,1,4,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,4,2,1,7,3] => [2,4,5,6,7,1,3] => [7,2,6,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,3,1,7] => [3,4,2,5,6,1,7] => [6,3,1,4,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,4,2,3,7,1] => [7,4,2,5,6,3,1] => [4,7,1,5,6,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,5,4,2,7,1,3] => [7,4,1,5,6,2,3] => [4,7,2,5,6,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,5,4,2,7,3,1] => [3,7,4,5,6,1,2] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,3,1,2,7] => [3,1,4,5,6,2,7] => [6,1,3,4,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,4,3,1,7,2] => [3,4,5,6,7,2,1] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,3,2,1,7] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,4,3,2,7,1] => [7,3,4,5,6,2,1] => [3,7,4,5,6,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,5,4,3,7,1,2] => [7,1,4,5,6,3,2] => [4,1,7,5,6,2,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,5,4,3,7,2,1] => [2,7,4,5,6,3,1] => [4,2,7,5,6,1,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,5,4,7,1,2,3] => [7,1,2,5,6,4,3] => [5,1,2,7,6,3,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[6,5,4,7,1,3,2] => [7,3,1,5,6,4,2] => [3,5,2,7,6,1,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[6,5,4,7,2,1,3] => [2,7,1,5,6,4,3] => [5,2,1,7,6,3,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[6,5,4,7,2,3,1] => [3,7,2,5,6,4,1] => [5,3,1,7,6,2,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[6,5,4,7,3,1,2] => [3,1,7,5,6,4,2] => [5,1,3,7,6,2,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[6,5,4,7,3,2,1] => [2,3,7,5,6,4,1] => [5,2,3,7,6,1,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[6,5,7,1,2,3,4] => [7,1,2,3,6,5,4] => [6,1,2,3,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,1,2,4,3] => [7,1,4,2,6,5,3] => [4,1,6,3,7,2,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[6,5,7,1,3,2,4] => [7,3,1,2,6,5,4] => [3,6,2,1,7,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[6,5,7,1,3,4,2] => [7,4,1,3,6,5,2] => [4,6,2,1,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[6,5,7,1,4,2,3] => [7,4,2,1,6,5,3] => [4,6,1,3,7,2,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[6,5,7,1,4,3,2] => [7,3,4,1,6,5,2] => [3,6,4,2,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[6,5,7,2,1,3,4] => [2,7,1,3,6,5,4] => [6,2,1,3,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,2,1,4,3] => [2,7,4,1,6,5,3] => [4,2,6,3,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[6,5,7,2,3,1,4] => [3,7,2,1,6,5,4] => [6,3,1,2,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,2,3,4,1] => [4,7,2,3,6,5,1] => [6,4,1,2,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,2,4,1,3] => [4,7,1,2,6,5,3] => [6,4,2,3,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,2,4,3,1] => [3,4,7,1,6,5,2] => [6,4,3,2,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,3,1,2,4] => [3,1,7,2,6,5,4] => [6,1,3,2,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,3,1,4,2] => [3,7,4,2,6,5,1] => [6,3,4,1,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,3,2,1,4] => [2,3,7,1,6,5,4] => [6,2,3,1,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,3,2,4,1] => [4,3,7,2,6,5,1] => [4,6,3,1,7,2,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[6,5,7,3,4,1,2] => [4,1,7,3,6,5,2] => [6,1,4,2,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,3,4,2,1] => [2,4,7,3,6,5,1] => [6,2,4,1,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,4,1,2,3] => [4,1,2,7,6,5,3] => [6,1,2,4,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,4,1,3,2] => [4,3,1,7,6,5,2] => [3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[6,5,7,4,2,1,3] => [2,4,1,7,6,5,3] => [6,2,1,4,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,4,2,3,1] => [3,4,2,7,6,5,1] => [6,3,1,4,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,4,3,1,2] => [3,1,4,7,6,5,2] => [6,1,3,4,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,4,3,2,1] => [2,3,4,7,6,5,1] => [6,2,3,4,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => [6,1,2,3,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,1,2,3,5,4] => [7,1,2,5,3,6,4] => [5,1,2,6,4,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[6,7,1,2,4,3,5] => [7,1,4,2,3,6,5] => [4,1,6,3,2,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[6,7,1,2,4,5,3] => [7,1,5,2,4,6,3] => [5,1,6,3,2,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,1,2,5,3,4] => [7,1,5,3,2,6,4] => [5,1,6,2,4,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,1,2,5,4,3] => [7,1,4,5,2,6,3] => [4,1,6,5,3,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[6,7,1,3,2,4,5] => [7,3,1,2,4,6,5] => [3,6,2,1,4,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,1,3,2,5,4] => [7,3,1,5,2,6,4] => [3,5,2,6,4,7,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[6,7,1,3,4,2,5] => [7,4,1,3,2,6,5] => [4,6,2,1,3,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,1,3,4,5,2] => [7,5,1,3,4,6,2] => [5,6,2,1,3,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,1,3,5,2,4] => [7,5,1,2,3,6,4] => [5,6,2,3,4,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,1,3,5,4,2] => [7,4,1,5,3,6,2] => [4,6,2,5,1,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,1,4,2,3,5] => [7,4,2,1,3,6,5] => [4,6,1,3,2,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,1,4,2,5,3] => [7,4,5,1,2,6,3] => [4,6,5,3,2,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,1,4,3,2,5] => [7,3,4,1,2,6,5] => [3,6,4,2,1,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,1,4,3,5,2] => [7,5,4,1,3,6,2] => [4,5,6,3,1,7,2] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[6,7,1,4,5,2,3] => [7,5,2,1,4,6,3] => [5,6,1,3,2,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,1,4,5,3,2] => [7,3,5,1,4,6,2] => [3,6,5,2,1,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,1,5,2,3,4] => [7,5,2,3,1,6,4] => [5,6,1,2,4,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,1,5,2,4,3] => [7,5,4,2,1,6,3] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[6,7,1,5,3,2,4] => [7,3,5,2,1,6,4] => [3,6,5,1,4,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,1,5,3,4,2] => [7,4,5,3,1,6,2] => [4,6,5,1,3,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,1,5,4,2,3] => [7,4,2,5,1,6,3] => [4,6,1,5,3,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,1,5,4,3,2] => [7,3,4,5,1,6,2] => [3,6,4,5,2,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,2,1,3,4,5] => [2,7,1,3,4,6,5] => [6,2,1,3,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,1,3,5,4] => [2,7,1,5,3,6,4] => [5,2,1,6,4,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[6,7,2,1,4,3,5] => [2,7,4,1,3,6,5] => [4,2,6,3,1,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[6,7,2,1,4,5,3] => [2,7,5,1,4,6,3] => [5,2,6,3,1,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,2,1,5,3,4] => [2,7,5,3,1,6,4] => [5,2,6,1,4,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,2,1,5,4,3] => [2,7,4,5,1,6,3] => [4,2,6,5,3,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[6,7,2,3,1,4,5] => [3,7,2,1,4,6,5] => [6,3,1,2,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,3,1,5,4] => [3,7,2,5,1,6,4] => [5,3,1,6,4,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[6,7,2,3,4,1,5] => [4,7,2,3,1,6,5] => [6,4,1,2,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,3,4,5,1] => [5,7,2,3,4,6,1] => [6,5,1,2,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,3,5,1,4] => [5,7,2,1,3,6,4] => [6,5,1,3,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,3,5,4,1] => [4,5,1,7,3,6,2] => [6,5,2,4,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,4,1,3,5] => [4,7,1,2,3,6,5] => [6,4,2,3,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,4,1,5,3] => [4,7,5,2,1,6,3] => [6,4,5,2,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,4,3,1,5] => [3,4,7,1,2,6,5] => [6,4,3,2,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,4,3,5,1] => [5,7,4,2,3,6,1] => [5,4,6,2,1,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,2,4,5,1,3] => [5,7,1,2,4,6,3] => [6,5,2,3,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,4,5,3,1] => [3,5,7,1,4,6,2] => [6,5,3,2,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,5,1,3,4] => [5,7,1,3,2,6,4] => [6,5,2,1,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,5,1,4,3] => [5,7,4,1,2,6,3] => [5,4,6,3,2,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,2,5,3,1,4] => [3,5,7,2,1,6,4] => [6,5,3,1,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,5,3,4,1] => [4,7,5,3,2,6,1] => [6,4,5,1,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,5,4,1,3] => [4,5,2,7,1,6,3] => [6,5,1,4,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,2,5,4,3,1] => [3,4,5,7,2,6,1] => [6,5,3,4,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,1,2,4,5] => [3,1,7,2,4,6,5] => [6,1,3,2,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,1,2,5,4] => [3,1,7,5,2,6,4] => [5,1,3,6,4,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[6,7,3,1,4,2,5] => [3,7,4,2,1,6,5] => [6,3,4,1,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,1,4,5,2] => [3,7,5,2,4,6,1] => [6,3,5,1,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,1,5,2,4] => [3,7,5,1,2,6,4] => [6,3,5,2,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,1,5,4,2] => [3,7,4,5,2,6,1] => [6,3,4,5,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,2,1,4,5] => [2,3,7,1,4,6,5] => [6,2,3,1,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,2,1,5,4] => [2,3,7,5,1,6,4] => [5,2,3,6,4,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[6,7,3,2,4,1,5] => [4,3,7,2,1,6,5] => [4,6,3,1,2,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,3,2,4,5,1] => [5,3,7,2,4,6,1] => [5,6,3,1,2,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,3,2,5,1,4] => [5,3,7,1,2,6,4] => [5,6,3,2,4,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,3,2,5,4,1] => [4,3,5,7,1,6,2] => [5,6,3,4,2,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,3,4,1,2,5] => [4,1,7,3,2,6,5] => [6,1,4,2,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,4,1,5,2] => [4,5,7,3,1,6,2] => [6,5,4,1,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,4,2,1,5] => [2,4,7,3,1,6,5] => [6,2,4,1,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,4,2,5,1] => [5,4,7,3,2,6,1] => [5,6,4,1,2,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,3,4,5,1,2] => [5,1,7,3,4,6,2] => [6,1,5,2,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,4,5,2,1] => [2,5,7,3,4,6,1] => [6,2,5,1,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,5,1,2,4] => [5,1,7,2,3,6,4] => [6,1,5,3,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,5,1,4,2] => [5,4,7,1,3,6,2] => [5,6,4,3,1,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,3,5,2,1,4] => [2,5,7,1,3,6,4] => [6,2,5,3,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,5,2,4,1] => [4,5,7,2,3,6,1] => [6,5,4,2,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,5,4,1,2] => [4,1,5,7,2,6,3] => [6,1,5,4,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,5,4,2,1] => [2,4,5,7,1,6,3] => [6,2,5,4,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,1,2,3,5] => [4,1,2,7,3,6,5] => [6,1,2,4,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,1,2,5,3] => [4,1,7,5,3,6,2] => [6,1,4,5,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,1,3,2,5] => [4,3,1,7,2,6,5] => [3,6,2,4,1,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,4,1,3,5,2] => [4,7,2,5,3,6,1] => [6,4,1,5,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,1,5,2,3] => [4,7,1,5,2,6,3] => [6,4,2,5,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,1,5,3,2] => [4,3,7,5,2,6,1] => [4,6,3,5,1,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,4,2,1,3,5] => [2,4,1,7,3,6,5] => [6,2,1,4,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,2,1,5,3] => [2,4,7,5,3,6,1] => [6,2,4,5,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,2,3,1,5] => [3,4,2,7,1,6,5] => [6,3,1,4,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,2,3,5,1] => [5,4,2,7,3,6,1] => [5,6,1,4,2,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,4,2,5,1,3] => [5,4,1,7,2,6,3] => [5,6,2,4,3,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,7,4,2,5,3,1] => [3,5,4,7,1,6,2] => [6,3,5,4,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,3,1,2,5] => [3,1,4,7,2,6,5] => [6,1,3,4,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,3,1,5,2] => [3,4,7,5,1,6,2] => [6,4,3,5,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,3,2,1,5] => [2,3,4,7,1,6,5] => [6,2,3,4,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,3,2,5,1] => [5,3,4,7,2,6,1] => [3,6,5,4,1,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,4,3,5,1,2] => [5,1,4,7,3,6,2] => [5,1,6,4,2,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,4,3,5,2,1] => [2,5,4,7,3,6,1] => [5,2,6,4,1,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,4,5,1,2,3] => [5,1,2,7,4,6,3] => [6,1,2,5,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,5,1,3,2] => [5,3,1,7,4,6,2] => [3,6,2,5,1,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,4,5,2,1,3] => [2,5,1,7,4,6,3] => [6,2,1,5,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,5,2,3,1] => [3,5,2,7,4,6,1] => [6,3,1,5,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,5,3,1,2] => [3,1,5,7,4,6,2] => [6,1,3,5,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,4,5,3,2,1] => [2,3,5,7,4,6,1] => [6,2,3,5,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,1,2,3,4] => [5,1,2,3,7,6,4] => [6,1,2,3,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,1,2,4,3] => [5,1,4,2,7,6,3] => [4,1,6,3,5,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[6,7,5,1,3,2,4] => [5,3,1,2,7,6,4] => [3,6,2,1,5,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,5,1,3,4,2] => [5,4,1,3,7,6,2] => [4,6,2,1,5,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,5,1,4,2,3] => [5,4,2,1,7,6,3] => [4,6,1,3,5,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,5,1,4,3,2] => [5,3,4,1,7,6,2] => [3,6,4,2,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,5,2,1,3,4] => [2,5,1,3,7,6,4] => [6,2,1,3,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,2,1,4,3] => [2,5,4,1,7,6,3] => [4,2,6,3,5,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[6,7,5,2,3,1,4] => [3,5,2,1,7,6,4] => [6,3,1,2,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,2,3,4,1] => [4,5,2,3,7,6,1] => [6,4,1,2,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,2,4,1,3] => [4,5,1,2,7,6,3] => [6,4,2,3,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,2,4,3,1] => [3,4,5,1,7,6,2] => [6,4,3,2,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,3,1,2,4] => [3,1,5,2,7,6,4] => [6,1,3,2,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,3,1,4,2] => [3,5,4,2,7,6,1] => [6,3,4,1,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,3,2,1,4] => [2,3,5,1,7,6,4] => [6,2,3,1,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,3,2,4,1] => [4,3,5,2,7,6,1] => [4,6,3,1,5,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[6,7,5,3,4,1,2] => [4,1,5,3,7,6,2] => [6,1,4,2,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,3,4,2,1] => [2,4,5,3,7,6,1] => [6,2,4,1,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,4,1,2,3] => [4,1,2,5,7,6,3] => [6,1,2,4,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,4,1,3,2] => [4,3,1,5,7,6,2] => [3,6,2,4,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,5,4,2,1,3] => [2,4,1,5,7,6,3] => [6,2,1,4,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,4,2,3,1] => [3,4,2,5,7,6,1] => [6,3,1,4,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,4,3,1,2] => [3,1,4,5,7,6,2] => [6,1,3,4,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,5,4,3,2,1] => [2,3,4,5,7,6,1] => [6,2,3,4,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,3,4,6,5] => [7,1,2,3,6,4,5] => [6,1,2,3,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,1,2,3,5,4,6] => [7,1,2,5,3,4,6] => [5,1,2,7,4,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,1,2,3,5,6,4] => [7,1,2,6,3,5,4] => [6,1,2,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,1,2,3,6,4,5] => [7,1,2,6,4,3,5] => [6,1,2,7,3,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,1,2,3,6,5,4] => [7,1,2,5,6,3,4] => [5,1,2,7,6,4,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,1,2,4,3,5,6] => [7,1,4,2,3,5,6] => [4,1,7,3,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,1,2,4,3,6,5] => [7,1,4,2,6,3,5] => [4,1,6,3,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[7,1,2,4,5,3,6] => [7,1,5,2,4,3,6] => [5,1,7,3,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,2,4,5,6,3] => [7,1,6,2,4,5,3] => [6,1,7,3,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,1,2,4,6,3,5] => [7,1,6,2,3,4,5] => [6,1,7,3,4,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,1,2,4,6,5,3] => [7,1,5,2,6,4,3] => [5,1,7,3,6,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,2,5,3,4,6] => [7,1,5,3,2,4,6] => [5,1,7,2,4,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,2,5,3,6,4] => [7,1,5,6,2,3,4] => [5,1,7,6,4,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,2,5,4,3,6] => [7,1,4,5,2,3,6] => [4,1,7,5,3,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,1,2,5,4,6,3] => [7,1,6,5,2,4,3] => [5,1,6,7,4,2,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[7,1,2,5,6,3,4] => [7,1,6,3,2,5,4] => [6,1,7,2,4,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,1,2,5,6,4,3] => [7,1,4,6,2,5,3] => [4,1,7,6,3,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,1,2,6,3,4,5] => [7,1,6,3,4,2,5] => [6,1,7,2,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,1,2,6,3,5,4] => [7,1,6,5,3,2,4] => [5,1,6,7,3,4,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[7,1,2,6,4,3,5] => [7,1,4,6,3,2,5] => [4,1,7,6,2,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,1,2,6,4,5,3] => [7,1,5,6,4,2,3] => [5,1,7,6,2,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,2,6,5,3,4] => [7,1,5,3,6,2,4] => [5,1,7,2,6,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,2,6,5,4,3] => [7,1,4,5,6,2,3] => [4,1,7,5,6,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,1,3,2,4,5,6] => [7,3,1,2,4,5,6] => [3,7,2,1,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,3,2,4,6,5] => [7,3,1,2,6,4,5] => [3,6,2,1,7,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[7,1,3,2,5,4,6] => [7,3,1,5,2,4,6] => [3,5,2,7,4,1,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[7,1,3,2,5,6,4] => [7,3,1,6,2,5,4] => [3,6,2,7,4,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[7,1,3,2,6,4,5] => [7,3,1,6,4,2,5] => [3,6,2,7,1,5,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[7,1,3,2,6,5,4] => [7,3,1,5,6,2,4] => [3,5,2,7,6,4,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[7,1,3,4,2,5,6] => [7,4,1,3,2,5,6] => [4,7,2,1,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,3,4,2,6,5] => [7,4,1,3,6,2,5] => [4,6,2,1,7,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[7,1,3,4,5,2,6] => [7,5,1,3,4,2,6] => [5,7,2,1,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,3,4,5,6,2] => [7,6,1,3,4,5,2] => [6,7,2,1,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,3,4,6,2,5] => [7,6,1,3,2,4,5] => [6,7,2,1,4,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,3,4,6,5,2] => [7,5,1,3,6,4,2] => [5,7,2,1,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,3,5,2,4,6] => [7,5,1,2,3,4,6] => [5,7,2,3,4,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,3,5,2,6,4] => [7,5,1,6,3,2,4] => [5,7,2,6,3,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,3,5,4,2,6] => [7,4,1,5,3,2,6] => [4,7,2,5,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,3,5,4,6,2] => [7,6,1,5,3,4,2] => [5,6,2,7,3,1,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[7,1,3,5,6,2,4] => [7,6,1,2,3,5,4] => [6,7,2,3,4,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,3,5,6,4,2] => [7,4,1,6,3,5,2] => [4,7,2,6,1,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,3,6,2,4,5] => [7,6,1,2,4,3,5] => [6,7,2,3,1,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,3,6,2,5,4] => [7,6,1,5,2,3,4] => [5,6,2,7,4,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[7,1,3,6,4,2,5] => [7,4,1,6,2,3,5] => [4,7,2,6,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,3,6,4,5,2] => [7,5,1,6,4,3,2] => [5,7,2,6,1,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,3,6,5,2,4] => [7,5,1,2,6,3,4] => [5,7,2,3,6,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,3,6,5,4,2] => [7,4,1,5,6,3,2] => [4,7,2,5,6,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,4,2,3,5,6] => [7,4,2,1,3,5,6] => [4,7,1,3,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,4,2,3,6,5] => [7,4,2,1,6,3,5] => [4,6,1,3,7,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[7,1,4,2,5,3,6] => [7,4,5,1,2,3,6] => [4,7,5,3,2,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,4,2,5,6,3] => [7,4,6,1,2,5,3] => [4,7,6,3,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,4,2,6,3,5] => [7,4,6,1,3,2,5] => [4,7,6,3,1,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,4,2,6,5,3] => [7,4,5,1,6,2,3] => [4,7,5,3,6,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,4,3,2,5,6] => [7,3,4,1,2,5,6] => [3,7,4,2,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,4,3,2,6,5] => [7,3,4,1,6,2,5] => [3,6,4,2,7,5,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[7,1,4,3,5,2,6] => [7,5,4,1,3,2,6] => [4,5,7,3,1,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[7,1,4,3,5,6,2] => [7,6,4,1,3,5,2] => [4,6,7,3,1,2,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,1,4,3,6,2,5] => [7,6,4,1,2,3,5] => [4,6,7,3,2,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,1,4,3,6,5,2] => [7,5,4,1,6,3,2] => [4,5,7,3,6,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[7,1,4,5,2,3,6] => [7,5,2,1,4,3,6] => [5,7,1,3,2,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,4,5,2,6,3] => [7,5,6,1,4,2,3] => [5,7,6,3,1,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,4,5,3,2,6] => [7,3,5,1,4,2,6] => [3,7,5,2,1,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,4,5,3,6,2] => [7,6,5,1,4,3,2] => [5,6,7,3,1,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,1,4,5,6,2,3] => [7,6,2,1,4,5,3] => [6,7,1,3,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,4,5,6,3,2] => [7,3,6,1,4,5,2] => [3,7,6,2,1,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,4,6,2,3,5] => [7,6,2,1,3,4,5] => [6,7,1,3,4,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,4,6,2,5,3] => [7,6,5,1,2,4,3] => [5,6,7,3,4,1,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,1,4,6,3,2,5] => [7,3,6,1,2,4,5] => [3,7,6,2,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,4,6,3,5,2] => [7,5,6,1,3,4,2] => [5,7,6,3,2,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,4,6,5,2,3] => [7,5,2,1,6,4,3] => [5,7,1,3,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,4,6,5,3,2] => [7,3,5,1,6,4,2] => [3,7,5,2,6,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,5,2,3,4,6] => [7,5,2,3,1,4,6] => [5,7,1,2,4,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,5,2,3,6,4] => [7,5,2,6,1,3,4] => [5,7,1,6,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,5,2,4,3,6] => [7,5,4,2,1,3,6] => [4,5,7,2,3,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[7,1,5,2,4,6,3] => [7,5,6,2,1,4,3] => [5,7,6,2,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,5,2,6,3,4] => [7,5,6,3,1,2,4] => [5,7,6,1,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,5,2,6,4,3] => [7,5,4,6,1,2,3] => [4,6,7,5,3,2,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,1,5,3,2,4,6] => [7,3,5,2,1,4,6] => [3,7,5,1,4,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,5,3,2,6,4] => [7,3,5,6,1,2,4] => [3,7,5,6,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,5,3,4,2,6] => [7,4,5,3,1,2,6] => [4,7,5,1,3,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,5,3,4,6,2] => [7,6,5,3,1,4,2] => [5,6,7,1,4,2,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,1,5,3,6,2,4] => [7,6,5,2,1,3,4] => [5,6,7,2,4,3,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,1,5,3,6,4,2] => [7,4,6,5,1,2,3] => [4,7,5,6,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,5,4,2,3,6] => [7,4,2,5,1,3,6] => [4,7,1,5,3,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,5,4,2,6,3] => [7,4,5,6,1,3,2] => [4,7,6,5,3,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,5,4,3,2,6] => [7,3,4,5,1,2,6] => [3,7,4,5,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,5,4,3,6,2] => [7,6,4,5,1,3,2] => [4,5,7,6,3,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[7,1,5,4,6,2,3] => [7,6,2,5,1,4,3] => [5,6,1,7,4,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[7,1,5,4,6,3,2] => [7,3,6,5,1,4,2] => [3,6,5,7,4,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[7,1,5,6,2,3,4] => [7,6,2,3,1,5,4] => [6,7,1,2,4,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,5,6,2,4,3] => [7,6,4,2,1,5,3] => [4,6,7,2,3,1,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,1,5,6,3,2,4] => [7,3,6,2,1,5,4] => [3,7,6,1,4,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,5,6,3,4,2] => [7,4,6,3,1,5,2] => [4,7,6,1,3,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,5,6,4,2,3] => [7,4,2,6,1,5,3] => [4,7,1,6,3,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,5,6,4,3,2] => [7,3,4,6,1,5,2] => [3,7,4,6,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,6,2,3,4,5] => [7,6,2,3,4,1,5] => [6,7,1,2,3,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,6,2,3,5,4] => [7,6,2,5,3,1,4] => [5,6,1,7,3,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[7,1,6,2,4,3,5] => [7,6,4,2,3,1,5] => [4,6,7,2,1,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,1,6,2,4,5,3] => [7,6,5,2,4,1,3] => [5,6,7,2,1,4,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,1,6,2,5,3,4] => [7,6,5,3,2,1,4] => [5,6,7,1,3,4,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,1,6,2,5,4,3] => [7,6,4,5,2,1,3] => [4,5,7,6,2,3,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[7,1,6,3,2,4,5] => [7,3,6,2,4,1,5] => [3,7,6,1,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,6,3,2,5,4] => [7,3,6,5,2,1,4] => [3,6,5,7,2,4,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[7,1,6,3,4,2,5] => [7,4,6,3,2,1,5] => [4,7,6,1,2,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,6,3,4,5,2] => [7,5,6,3,4,1,2] => [5,7,6,1,2,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,6,3,5,2,4] => [7,5,6,2,3,1,4] => [5,7,6,2,3,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,6,3,5,4,2] => [7,4,5,6,2,1,3] => [4,7,6,5,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,6,4,2,3,5] => [7,4,2,6,3,1,5] => [4,7,1,6,2,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,6,4,2,5,3] => [7,4,6,5,3,1,2] => [4,7,5,6,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,6,4,3,2,5] => [7,3,4,6,2,1,5] => [3,7,4,6,1,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,6,4,3,5,2] => [7,5,4,6,3,1,2] => [4,6,7,5,1,3,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,1,6,4,5,2,3] => [7,5,2,6,4,1,3] => [5,7,1,6,2,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,6,4,5,3,2] => [7,3,5,6,4,1,2] => [3,7,5,6,1,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,6,5,2,3,4] => [7,5,2,3,6,1,4] => [5,7,1,2,6,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,6,5,2,4,3] => [7,5,4,2,6,1,3] => [4,5,7,2,6,3,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[7,1,6,5,3,2,4] => [7,3,5,2,6,1,4] => [3,7,5,1,6,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,6,5,3,4,2] => [7,4,5,3,6,1,2] => [4,7,5,1,6,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,6,5,4,2,3] => [7,4,2,5,6,1,3] => [4,7,1,5,6,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,1,6,5,4,3,2] => [7,3,4,5,6,1,2] => [3,7,4,5,6,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,3,4,6,5] => [2,7,1,3,6,4,5] => [6,2,1,3,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,1,3,5,4,6] => [2,7,1,5,3,4,6] => [5,2,1,7,4,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,2,1,3,5,6,4] => [2,7,1,6,3,5,4] => [6,2,1,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,1,3,6,4,5] => [2,7,1,6,4,3,5] => [6,2,1,7,3,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,1,3,6,5,4] => [2,7,1,5,6,3,4] => [5,2,1,7,6,4,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,2,1,4,3,5,6] => [2,7,4,1,3,5,6] => [4,2,7,3,1,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,2,1,4,3,6,5] => [2,7,4,1,6,3,5] => [4,2,6,3,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[7,2,1,4,5,3,6] => [2,7,5,1,4,3,6] => [5,2,7,3,1,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,1,4,5,6,3] => [2,7,6,1,4,5,3] => [6,2,7,3,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,1,4,6,3,5] => [2,7,6,1,3,4,5] => [6,2,7,3,4,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,1,4,6,5,3] => [2,7,5,1,6,4,3] => [5,2,7,3,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,1,5,3,4,6] => [2,7,5,3,1,4,6] => [5,2,7,1,4,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,1,5,3,6,4] => [2,7,5,6,1,3,4] => [5,2,7,6,4,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,1,5,4,3,6] => [2,7,4,5,1,3,6] => [4,2,7,5,3,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,2,1,5,4,6,3] => [2,7,6,5,1,4,3] => [5,2,6,7,4,1,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[7,2,1,5,6,3,4] => [2,7,6,3,1,5,4] => [6,2,7,1,4,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,1,5,6,4,3] => [2,7,4,6,1,5,3] => [4,2,7,6,3,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,2,1,6,3,4,5] => [2,7,6,3,4,1,5] => [6,2,7,1,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,1,6,3,5,4] => [2,7,6,5,3,1,4] => [5,2,6,7,3,4,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[7,2,1,6,4,3,5] => [2,7,4,6,3,1,5] => [4,2,7,6,1,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,2,1,6,4,5,3] => [2,7,5,6,4,1,3] => [5,2,7,6,1,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,1,6,5,3,4] => [2,7,5,3,6,1,4] => [5,2,7,1,6,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,1,6,5,4,3] => [2,7,4,5,6,1,3] => [4,2,7,5,6,3,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,2,3,1,4,5,6] => [3,7,2,1,4,5,6] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,1,4,6,5] => [3,7,2,1,6,4,5] => [6,3,1,2,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,3,1,5,4,6] => [3,7,2,5,1,4,6] => [5,3,1,7,4,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,2,3,1,5,6,4] => [3,7,2,6,1,5,4] => [6,3,1,7,4,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,3,1,6,4,5] => [3,7,2,6,4,1,5] => [6,3,1,7,2,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,3,1,6,5,4] => [3,7,2,5,6,1,4] => [5,3,1,7,6,4,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,2,3,4,1,5,6] => [4,7,2,3,1,5,6] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,1,6,5] => [4,7,2,3,6,1,5] => [6,4,1,2,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,3,4,5,1,6] => [5,7,2,3,4,1,6] => [7,5,1,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,5,6,1] => [6,7,2,3,4,5,1] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,6,1,5] => [6,7,2,3,1,4,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,6,5,1] => [5,6,1,3,7,4,2] => [7,6,2,1,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,1,4,6] => [5,7,2,1,3,4,6] => [7,5,1,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,1,6,4] => [5,7,2,6,3,1,4] => [7,5,1,6,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,4,1,6] => [4,5,1,7,3,2,6] => [7,5,2,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,4,6,1] => [6,7,2,5,3,4,1] => [6,5,1,7,3,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,3,5,6,1,4] => [6,7,2,1,3,5,4] => [7,6,1,3,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,6,4,1] => [4,6,1,7,3,5,2] => [7,6,2,4,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,1,4,5] => [6,7,2,1,4,3,5] => [7,6,1,3,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,1,5,4] => [6,7,2,5,1,3,4] => [6,5,1,7,4,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,3,6,4,1,5] => [4,6,1,7,2,3,5] => [7,6,2,4,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,4,5,1] => [5,7,2,6,4,3,1] => [7,5,1,6,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,5,1,4] => [5,6,1,2,7,3,4] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,5,4,1] => [4,5,2,6,7,3,1] => [7,6,1,4,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,3,5,6] => [4,7,1,2,3,5,6] => [7,4,2,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,3,6,5] => [4,7,1,2,6,3,5] => [6,4,2,3,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,4,1,5,3,6] => [4,7,5,2,1,3,6] => [7,4,5,2,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,5,6,3] => [4,7,6,2,1,5,3] => [7,4,6,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,6,3,5] => [4,7,6,2,3,1,5] => [7,4,6,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,6,5,3] => [4,7,5,2,6,1,3] => [7,4,5,2,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,3,1,5,6] => [3,4,7,1,2,5,6] => [7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,3,1,6,5] => [3,4,7,1,6,2,5] => [6,4,3,2,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,4,3,5,1,6] => [5,7,4,2,3,1,6] => [5,4,7,2,1,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,4,3,5,6,1] => [6,7,4,2,3,5,1] => [6,4,7,2,1,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,4,3,6,1,5] => [6,7,4,2,1,3,5] => [6,4,7,2,3,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,4,3,6,5,1] => [5,6,4,1,7,3,2] => [6,4,7,3,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,4,5,1,3,6] => [5,7,1,2,4,3,6] => [7,5,2,3,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,1,6,3] => [5,7,6,2,4,1,3] => [7,5,6,2,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,3,1,6] => [3,5,7,1,4,2,6] => [7,5,3,2,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,3,6,1] => [6,7,5,2,4,3,1] => [6,5,7,2,1,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,4,5,6,1,3] => [6,7,1,2,4,5,3] => [7,6,2,3,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,6,3,1] => [3,6,7,1,4,5,2] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,1,3,5] => [6,7,1,2,3,4,5] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,1,5,3] => [6,7,5,2,1,4,3] => [6,5,7,2,4,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,4,6,3,1,5] => [3,6,7,1,2,4,5] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,3,5,1] => [5,7,6,2,3,4,1] => [7,5,6,2,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,5,1,3] => [5,6,2,1,7,4,3] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,5,3,1] => [3,5,6,2,7,4,1] => [7,6,3,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,3,4,6] => [5,7,1,3,2,4,6] => [7,5,2,1,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,3,6,4] => [5,7,1,6,2,3,4] => [7,5,2,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,4,3,6] => [5,7,4,1,2,3,6] => [5,4,7,3,2,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,5,1,4,6,3] => [5,7,6,1,2,4,3] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,6,3,4] => [5,7,6,3,2,1,4] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,6,4,3] => [5,7,4,6,2,1,3] => [6,4,7,5,2,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,5,3,1,4,6] => [3,5,7,2,1,4,6] => [7,5,3,1,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,1,6,4] => [3,5,7,6,1,2,4] => [7,5,3,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,4,1,6] => [4,7,5,3,2,1,6] => [7,4,5,1,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,4,6,1] => [6,7,5,3,2,4,1] => [6,5,7,1,3,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,5,3,6,1,4] => [6,7,5,1,2,3,4] => [6,5,7,3,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,5,3,6,4,1] => [4,6,7,5,3,1,2] => [7,5,4,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,1,3,6] => [4,5,2,7,1,3,6] => [7,5,1,4,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,1,6,3] => [4,5,7,6,3,2,1] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,3,1,6] => [3,4,5,7,2,1,6] => [7,5,3,4,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,3,6,1] => [6,7,4,5,2,3,1] => [5,4,7,6,2,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,5,4,6,1,3] => [6,7,1,5,2,4,3] => [6,5,2,7,4,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,5,4,6,3,1] => [3,6,7,5,1,4,2] => [6,5,3,7,4,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,5,6,1,3,4] => [6,7,1,3,2,5,4] => [7,6,2,1,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,1,4,3] => [6,7,4,1,2,5,3] => [6,4,7,3,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,5,6,3,1,4] => [3,6,7,2,1,5,4] => [7,6,3,1,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,3,4,1] => [4,7,6,3,2,5,1] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,4,1,3] => [4,6,2,7,1,5,3] => [7,6,1,4,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,4,3,1] => [3,4,6,7,2,5,1] => [7,6,3,4,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,1,3,4,5] => [6,7,1,3,4,2,5] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,1,3,5,4] => [6,7,1,5,3,2,4] => [6,5,2,7,3,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,6,1,4,3,5] => [6,7,4,1,3,2,5] => [6,4,7,3,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,6,1,4,5,3] => [6,7,5,1,4,2,3] => [6,5,7,3,1,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,6,1,5,3,4] => [6,7,5,3,1,2,4] => [6,5,7,1,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,6,1,5,4,3] => [6,7,4,5,1,2,3] => [5,4,7,6,3,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,6,3,1,4,5] => [3,6,7,2,4,1,5] => [7,6,3,1,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,1,5,4] => [3,6,7,5,2,1,4] => [6,5,3,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,6,3,4,1,5] => [4,7,6,3,1,2,5] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,4,5,1] => [5,7,6,3,4,2,1] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,5,1,4] => [5,7,6,1,3,2,4] => [7,5,6,3,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,5,4,1] => [4,5,7,6,1,3,2] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,1,3,5] => [4,6,2,7,3,1,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,1,5,3] => [4,6,7,5,2,3,1] => [7,5,4,6,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,3,1,5] => [3,4,6,7,1,2,5] => [7,6,3,4,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,3,5,1] => [5,7,4,6,3,2,1] => [6,4,7,5,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,6,4,5,1,3] => [5,7,1,6,4,2,3] => [7,5,2,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,5,3,1] => [3,5,7,6,4,1,2] => [7,5,3,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,1,3,4] => [5,6,2,3,7,1,4] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,1,4,3] => [5,6,4,2,7,1,3] => [6,4,7,2,5,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,6,5,3,1,4] => [3,5,6,1,7,2,4] => [7,6,3,2,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,3,4,1] => [4,7,5,3,6,2,1] => [7,4,5,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,4,1,3] => [4,5,1,6,7,2,3] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,4,3,1] => [3,4,5,6,7,1,2] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,2,4,5,6] => [3,1,7,2,4,5,6] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,2,4,6,5] => [3,1,7,2,6,4,5] => [6,1,3,2,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,1,2,5,4,6] => [3,1,7,5,2,4,6] => [5,1,3,7,4,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,3,1,2,5,6,4] => [3,1,7,6,2,5,4] => [6,1,3,7,4,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,1,2,6,4,5] => [3,1,7,6,4,2,5] => [6,1,3,7,2,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,1,2,6,5,4] => [3,1,7,5,6,2,4] => [5,1,3,7,6,4,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,3,1,4,2,5,6] => [3,7,4,2,1,5,6] => [7,3,4,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,2,6,5] => [3,7,4,2,6,1,5] => [6,3,4,1,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,1,4,5,2,6] => [3,7,5,2,4,1,6] => [7,3,5,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,5,6,2] => [3,7,6,2,4,5,1] => [7,3,6,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,6,2,5] => [3,7,6,2,1,4,5] => [7,3,6,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,6,5,2] => [3,7,5,2,6,4,1] => [7,3,5,1,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,2,4,6] => [3,7,5,1,2,4,6] => [7,3,5,2,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,2,6,4] => [3,7,5,6,2,1,4] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,4,2,6] => [3,7,4,5,2,1,6] => [7,3,4,5,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,4,6,2] => [3,7,6,5,2,4,1] => [6,3,5,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,1,5,6,2,4] => [3,7,6,1,2,5,4] => [7,3,6,2,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,6,4,2] => [3,7,4,6,2,5,1] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,2,4,5] => [3,7,6,1,4,2,5] => [7,3,6,2,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,2,5,4] => [3,7,6,5,1,2,4] => [6,3,5,7,4,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,1,6,4,2,5] => [3,7,4,6,1,2,5] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,4,5,2] => [3,7,5,6,4,2,1] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,5,2,4] => [3,7,5,1,6,2,4] => [7,3,5,2,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,5,4,2] => [3,7,4,5,6,2,1] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,1,4,5,6] => [2,3,7,1,4,5,6] => [7,2,3,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,1,4,6,5] => [2,3,7,1,6,4,5] => [6,2,3,1,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,2,1,5,4,6] => [2,3,7,5,1,4,6] => [5,2,3,7,4,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,3,2,1,5,6,4] => [2,3,7,6,1,5,4] => [6,2,3,7,4,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,2,1,6,4,5] => [2,3,7,6,4,1,5] => [6,2,3,7,1,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,2,1,6,5,4] => [2,3,7,5,6,1,4] => [5,2,3,7,6,4,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,3,2,4,1,5,6] => [4,3,7,2,1,5,6] => [4,7,3,1,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,3,2,4,1,6,5] => [4,3,7,2,6,1,5] => [4,6,3,1,7,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[7,3,2,4,5,1,6] => [5,3,7,2,4,1,6] => [5,7,3,1,2,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,2,4,5,6,1] => [6,3,7,2,4,5,1] => [6,7,3,1,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,4,6,1,5] => [6,3,7,2,1,4,5] => [6,7,3,1,4,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,4,6,5,1] => [5,3,6,1,7,4,2] => [6,7,3,2,5,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,5,1,4,6] => [5,3,7,1,2,4,6] => [5,7,3,2,4,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,2,5,1,6,4] => [5,3,7,6,2,1,4] => [5,7,3,6,2,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,2,5,4,1,6] => [4,3,5,7,1,2,6] => [5,7,3,4,2,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,2,5,4,6,1] => [6,3,7,5,2,4,1] => [5,6,3,7,2,1,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[7,3,2,5,6,1,4] => [6,3,7,1,2,5,4] => [6,7,3,2,4,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,5,6,4,1] => [4,3,6,7,1,5,2] => [6,7,3,4,2,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,6,1,4,5] => [6,3,7,1,4,2,5] => [6,7,3,2,1,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,6,1,5,4] => [6,3,7,5,1,2,4] => [5,6,3,7,4,2,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[7,3,2,6,4,1,5] => [4,3,6,7,2,1,5] => [6,7,3,4,1,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,6,4,5,1] => [5,3,7,6,4,2,1] => [5,7,3,6,1,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,2,6,5,1,4] => [5,3,6,2,7,1,4] => [6,7,3,1,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,6,5,4,1] => [4,3,5,6,7,2,1] => [6,7,3,4,5,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,4,1,2,5,6] => [4,1,7,3,2,5,6] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,2,6,5] => [4,1,7,3,6,2,5] => [6,1,4,2,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,4,1,5,2,6] => [4,5,7,3,1,2,6] => [7,5,4,1,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,5,6,2] => [4,6,7,3,1,5,2] => [7,6,4,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,6,2,5] => [4,6,7,3,2,1,5] => [7,6,4,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,6,5,2] => [4,5,6,2,7,1,3] => [7,6,4,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,2,1,5,6] => [2,4,7,3,1,5,6] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,2,1,6,5] => [2,4,7,3,6,1,5] => [6,2,4,1,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,4,2,5,1,6] => [5,4,7,3,2,1,6] => [5,7,4,1,2,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,4,2,5,6,1] => [6,4,7,3,2,5,1] => [6,7,4,1,2,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,4,2,6,1,5] => [6,4,7,3,1,2,5] => [6,7,4,1,3,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,4,2,6,5,1] => [5,4,6,1,7,2,3] => [6,7,4,3,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,4,5,1,2,6] => [5,1,7,3,4,2,6] => [7,1,5,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,1,6,2] => [5,6,7,3,4,1,2] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,2,1,6] => [2,5,7,3,4,1,6] => [7,2,5,1,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,2,6,1] => [6,5,7,3,4,2,1] => [6,7,5,1,2,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,4,5,6,1,2] => [6,1,7,3,4,5,2] => [7,1,6,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,6,2,1] => [2,6,7,3,4,5,1] => [7,2,6,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,1,2,5] => [6,1,7,3,2,4,5] => [7,1,6,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,1,5,2] => [6,5,7,3,1,4,2] => [6,7,5,1,4,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,4,6,2,1,5] => [2,6,7,3,1,4,5] => [7,2,6,1,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,2,5,1] => [5,6,7,3,2,4,1] => [7,6,5,1,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,5,1,2] => [5,1,6,2,7,4,3] => [7,1,6,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,5,2,1] => [2,5,6,1,7,4,3] => [7,2,6,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,2,4,6] => [5,1,7,2,3,4,6] => [7,1,5,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,2,6,4] => [5,1,7,6,3,2,4] => [7,1,5,6,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,4,2,6] => [5,4,7,1,3,2,6] => [5,7,4,3,1,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,5,1,4,6,2] => [5,6,7,1,3,4,2] => [7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,6,2,4] => [5,6,7,2,3,1,4] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,6,4,2] => [5,4,6,7,2,1,3] => [6,7,5,4,2,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,5,2,1,4,6] => [2,5,7,1,3,4,6] => [7,2,5,3,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,1,6,4] => [2,5,7,6,3,1,4] => [7,2,5,6,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,4,1,6] => [4,5,7,2,3,1,6] => [7,5,4,2,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,4,6,1] => [6,5,7,2,3,4,1] => [6,7,5,2,3,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,5,2,6,1,4] => [6,5,7,1,3,2,4] => [6,7,5,3,2,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,5,2,6,4,1] => [4,6,5,7,1,3,2] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,1,2,6] => [4,1,5,7,2,3,6] => [7,1,5,4,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,1,6,2] => [4,5,6,7,1,2,3] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,2,1,6] => [2,4,5,7,1,3,6] => [7,2,5,4,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,2,6,1] => [6,4,5,7,2,3,1] => [5,7,6,4,2,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,5,4,6,1,2] => [6,1,7,5,3,4,2] => [6,1,5,7,3,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,5,4,6,2,1] => [2,6,7,5,3,4,1] => [6,2,5,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,5,6,1,2,4] => [6,1,7,2,3,5,4] => [7,1,6,3,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,1,4,2] => [6,4,7,1,3,5,2] => [6,7,4,3,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,5,6,2,1,4] => [2,6,7,1,3,5,4] => [7,2,6,3,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,2,4,1] => [4,6,7,2,3,5,1] => [7,6,4,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,4,1,2] => [4,1,6,7,2,5,3] => [7,1,6,4,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,4,2,1] => [2,4,6,7,1,5,3] => [7,2,6,4,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,2,4,5] => [6,1,7,2,4,3,5] => [7,1,6,3,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,2,5,4] => [6,1,7,5,2,3,4] => [6,1,5,7,4,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,6,1,4,2,5] => [6,4,7,1,2,3,5] => [6,7,4,3,2,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,6,1,4,5,2] => [6,5,7,1,4,3,2] => [6,7,5,3,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,6,1,5,2,4] => [6,5,7,2,1,3,4] => [6,7,5,2,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,6,1,5,4,2] => [6,4,5,7,1,2,3] => [5,7,6,4,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,6,2,1,4,5] => [2,6,7,1,4,3,5] => [7,2,6,3,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,1,5,4] => [2,6,7,5,1,3,4] => [6,2,5,7,4,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,6,2,4,1,5] => [4,6,7,2,1,3,5] => [7,6,4,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,4,5,1] => [5,6,7,2,4,3,1] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,5,1,4] => [5,6,7,1,2,3,4] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,5,4,1] => [4,5,6,7,3,1,2] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,1,2,5] => [4,1,6,7,3,2,5] => [7,1,6,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,1,5,2] => [4,6,5,7,2,1,3] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,2,1,5] => [2,4,6,7,3,1,5] => [7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,2,5,1] => [5,4,6,7,3,2,1] => [6,7,5,4,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,6,4,5,1,2] => [5,1,7,6,4,3,2] => [7,1,5,6,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,5,2,1] => [2,5,7,6,4,3,1] => [7,2,5,6,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,1,2,4] => [5,1,6,3,7,2,4] => [7,1,6,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,1,4,2] => [5,4,6,3,7,1,2] => [6,7,4,1,5,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,6,5,2,1,4] => [2,5,6,3,7,1,4] => [7,2,6,1,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,2,4,1] => [4,5,6,3,7,2,1] => [7,6,4,1,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,4,1,2] => [4,1,5,6,7,3,2] => [7,1,6,4,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,4,2,1] => [2,4,5,6,7,3,1] => [7,2,6,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,3,5,6] => [4,1,2,7,3,5,6] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,3,6,5] => [4,1,2,7,6,3,5] => [6,1,2,4,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,4,1,2,5,3,6] => [4,1,7,5,3,2,6] => [7,1,4,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,5,6,3] => [4,1,7,6,3,5,2] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,6,3,5] => [4,1,7,6,2,3,5] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,6,5,3] => [4,1,7,5,6,3,2] => [7,1,4,5,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,2,5,6] => [4,3,1,7,2,5,6] => [3,7,2,4,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,1,3,2,6,5] => [4,3,1,7,6,2,5] => [3,6,2,4,7,5,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[7,4,1,3,5,2,6] => [4,7,2,5,3,1,6] => [7,4,1,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,5,6,2] => [4,7,2,6,3,5,1] => [7,4,1,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,6,2,5] => [4,7,2,6,1,3,5] => [7,4,1,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,6,5,2] => [4,7,2,5,6,3,1] => [7,4,1,5,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,2,3,6] => [4,7,1,5,2,3,6] => [7,4,2,5,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,2,6,3] => [4,7,5,6,2,3,1] => [7,4,6,5,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,3,2,6] => [4,3,7,5,2,1,6] => [4,7,3,5,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,4,1,5,3,6,2] => [4,7,6,5,2,1,3] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,6,2,3] => [4,7,1,6,2,5,3] => [7,4,2,6,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,6,3,2] => [4,3,7,6,2,5,1] => [4,7,3,6,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,4,1,6,2,3,5] => [4,7,1,6,3,2,5] => [7,4,2,6,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,2,5,3] => [4,7,6,5,3,2,1] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,3,2,5] => [4,3,7,6,1,2,5] => [4,7,3,6,2,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,4,1,6,3,5,2] => [4,7,5,6,1,2,3] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,5,2,3] => [4,7,1,5,6,2,3] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,5,3,2] => [4,3,7,5,6,2,1] => [4,7,3,5,6,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,4,2,1,3,5,6] => [2,4,1,7,3,5,6] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,3,6,5] => [2,4,1,7,6,3,5] => [6,2,1,4,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,4,2,1,5,3,6] => [2,4,7,5,3,1,6] => [7,2,4,5,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,5,6,3] => [2,4,7,6,3,5,1] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,6,3,5] => [2,4,7,6,1,3,5] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,6,5,3] => [2,4,7,5,6,3,1] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,1,5,6] => [3,4,2,7,1,5,6] => [7,3,1,4,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,1,6,5] => [3,4,2,7,6,1,5] => [6,3,1,4,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,4,2,3,5,1,6] => [5,4,2,7,3,1,6] => [5,7,1,4,2,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,4,2,3,5,6,1] => [6,4,2,7,3,5,1] => [6,7,1,4,2,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,2,3,6,1,5] => [6,4,2,7,1,3,5] => [6,7,1,4,3,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,2,3,6,5,1] => [5,4,1,6,7,3,2] => [6,7,2,4,5,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,2,5,1,3,6] => [5,4,1,7,2,3,6] => [5,7,2,4,3,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,4,2,5,1,6,3] => [5,4,7,6,3,1,2] => [6,7,4,5,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,2,5,3,1,6] => [3,5,4,7,1,2,6] => [7,3,5,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,5,3,6,1] => [6,4,7,5,3,2,1] => [5,7,4,6,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,4,2,5,6,1,3] => [6,4,1,7,2,5,3] => [6,7,2,4,3,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,2,5,6,3,1] => [3,6,4,7,1,5,2] => [7,3,6,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,6,1,3,5] => [6,4,1,7,3,2,5] => [6,7,2,4,1,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,2,6,1,5,3] => [6,4,7,5,1,3,2] => [5,7,4,6,3,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,4,2,6,3,1,5] => [3,6,4,7,2,1,5] => [7,3,6,4,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,6,3,5,1] => [5,4,7,6,2,3,1] => [6,7,4,5,2,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,2,6,5,1,3] => [5,4,2,6,7,1,3] => [6,7,1,4,5,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,2,6,5,3,1] => [3,5,4,6,7,2,1] => [7,3,6,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,2,5,6] => [3,1,4,7,2,5,6] => [7,1,3,4,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,2,6,5] => [3,1,4,7,6,2,5] => [6,1,3,4,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,4,3,1,5,2,6] => [3,4,7,5,1,2,6] => [7,4,3,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,5,6,2] => [3,4,7,6,1,5,2] => [7,4,3,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,6,2,5] => [3,4,7,6,2,1,5] => [7,4,3,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,6,5,2] => [3,4,7,5,6,1,2] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,1,5,6] => [2,3,4,7,1,5,6] => [7,2,3,4,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,1,6,5] => [2,3,4,7,6,1,5] => [6,2,3,4,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,4,3,2,5,1,6] => [5,3,4,7,2,1,6] => [3,7,5,4,1,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,3,2,5,6,1] => [6,3,4,7,2,5,1] => [3,7,6,4,1,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,3,2,6,1,5] => [6,3,4,7,1,2,5] => [3,7,6,4,2,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,3,2,6,5,1] => [5,3,4,6,7,1,2] => [3,7,6,4,5,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,3,5,1,2,6] => [5,1,4,7,3,2,6] => [5,1,7,4,2,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,4,3,5,1,6,2] => [5,6,4,7,3,1,2] => [6,5,7,4,1,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,3,5,2,1,6] => [2,5,4,7,3,1,6] => [5,2,7,4,1,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,4,3,5,2,6,1] => [6,5,4,7,3,2,1] => [5,6,7,4,1,2,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,4,3,5,6,1,2] => [6,1,4,7,3,5,2] => [6,1,7,4,2,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,3,5,6,2,1] => [2,6,4,7,3,5,1] => [6,2,7,4,1,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,3,6,1,2,5] => [6,1,4,7,2,3,5] => [6,1,7,4,3,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,3,6,1,5,2] => [6,5,4,7,1,3,2] => [5,6,7,4,3,1,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,4,3,6,2,1,5] => [2,6,4,7,1,3,5] => [6,2,7,4,3,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,3,6,2,5,1] => [5,6,4,7,2,3,1] => [6,5,7,4,2,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,3,6,5,1,2] => [5,1,4,6,7,2,3] => [6,1,7,4,5,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,3,6,5,2,1] => [2,5,4,6,7,1,3] => [6,2,7,4,5,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,5,1,2,3,6] => [5,1,2,7,4,3,6] => [7,1,2,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,2,6,3] => [5,1,6,7,4,2,3] => [7,1,6,5,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,3,2,6] => [5,3,1,7,4,2,6] => [3,7,2,5,1,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,5,1,3,6,2] => [5,6,1,7,4,3,2] => [7,6,2,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,6,2,3] => [5,6,2,7,4,1,3] => [7,6,1,5,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,6,3,2] => [5,3,6,7,4,1,2] => [6,7,3,5,1,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,5,2,1,3,6] => [2,5,1,7,4,3,6] => [7,2,1,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,2,1,6,3] => [2,5,6,7,4,1,3] => [7,2,6,5,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,2,3,1,6] => [3,5,2,7,4,1,6] => [7,3,1,5,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,2,3,6,1] => [6,5,2,7,4,3,1] => [6,7,1,5,2,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,5,2,6,1,3] => [6,5,1,7,4,2,3] => [6,7,2,5,1,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,5,2,6,3,1] => [3,6,5,7,4,1,2] => [7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,1,2,6] => [3,1,5,7,4,2,6] => [7,1,3,5,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,1,6,2] => [3,5,6,7,4,2,1] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,2,1,6] => [2,3,5,7,4,1,6] => [7,2,3,5,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,2,6,1] => [6,3,5,7,4,2,1] => [3,7,6,5,1,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,5,3,6,1,2] => [6,1,5,7,4,3,2] => [6,1,7,5,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,5,3,6,2,1] => [2,6,5,7,4,3,1] => [6,2,7,5,1,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,5,6,1,2,3] => [6,1,2,7,4,5,3] => [7,1,2,6,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,1,3,2] => [6,3,1,7,4,5,2] => [3,7,2,6,1,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,5,6,2,1,3] => [2,6,1,7,4,5,3] => [7,2,1,6,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,2,3,1] => [3,6,2,7,4,5,1] => [7,3,1,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,3,1,2] => [3,1,6,7,4,5,2] => [7,1,3,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,3,2,1] => [2,3,6,7,4,5,1] => [7,2,3,6,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,1,2,3,5] => [6,1,2,7,3,4,5] => [7,1,2,6,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,1,2,5,3] => [6,1,5,7,2,4,3] => [6,1,7,5,4,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,6,1,3,2,5] => [6,3,1,7,2,4,5] => [3,7,2,6,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,6,1,3,5,2] => [6,5,1,7,3,4,2] => [6,7,2,5,3,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,6,1,5,2,3] => [6,5,2,7,1,4,3] => [6,7,1,5,4,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,6,1,5,3,2] => [6,3,5,7,1,4,2] => [3,7,6,5,4,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,6,2,1,3,5] => [2,6,1,7,3,4,5] => [7,2,1,6,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,1,5,3] => [2,6,5,7,1,4,3] => [6,2,7,5,4,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,6,2,3,1,5] => [3,6,2,7,1,4,5] => [7,3,1,6,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,3,5,1] => [5,6,2,7,3,4,1] => [7,6,1,5,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,5,1,3] => [5,6,1,7,2,4,3] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,5,3,1] => [3,5,6,7,1,4,2] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,1,2,5] => [3,1,6,7,2,4,5] => [7,1,3,6,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,1,5,2] => [3,6,5,7,2,4,1] => [7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,2,1,5] => [2,3,6,7,1,4,5] => [7,2,3,6,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,2,5,1] => [5,3,6,7,2,4,1] => [6,7,3,5,2,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,6,3,5,1,2] => [5,1,6,7,3,4,2] => [7,1,6,5,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,5,2,1] => [2,5,6,7,3,4,1] => [7,2,6,5,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,1,2,3] => [5,1,2,6,7,3,4] => [7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,1,3,2] => [5,3,1,6,7,2,4] => [3,7,2,6,5,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,6,5,2,1,3] => [2,5,1,6,7,3,4] => [7,2,1,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,2,3,1] => [3,5,2,6,7,1,4] => [7,3,1,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,3,1,2] => [3,1,5,6,7,2,4] => [7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,3,2,1] => [2,3,5,6,7,1,4] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,3,4,6] => [5,1,2,3,7,4,6] => [7,1,2,3,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,3,6,4] => [5,1,2,7,6,4,3] => [7,1,2,5,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,4,3,6] => [5,1,4,2,7,3,6] => [4,1,7,3,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,5,1,2,4,6,3] => [5,1,7,3,6,4,2] => [7,1,5,2,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,6,3,4] => [5,1,7,2,6,3,4] => [7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,6,4,3] => [5,1,4,7,6,3,2] => [5,1,7,4,6,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,5,1,3,2,4,6] => [5,3,1,2,7,4,6] => [3,7,2,1,5,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,1,3,2,6,4] => [5,3,1,7,6,4,2] => [3,7,2,5,6,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,1,3,4,2,6] => [5,4,1,3,7,2,6] => [4,7,2,1,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,1,3,4,6,2] => [5,7,2,3,6,4,1] => [7,5,1,2,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,3,6,2,4] => [5,7,2,1,6,3,4] => [7,5,1,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,3,6,4,2] => [5,4,2,7,6,3,1] => [5,7,1,4,6,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,5,1,4,2,3,6] => [5,4,2,1,7,3,6] => [4,7,1,3,5,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,1,4,2,6,3] => [5,4,7,3,6,2,1] => [5,7,4,1,6,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,5,1,4,3,2,6] => [5,3,4,1,7,2,6] => [3,7,4,2,5,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,1,4,3,6,2] => [5,7,4,2,6,3,1] => [5,4,7,2,6,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,5,1,4,6,2,3] => [5,7,1,2,6,4,3] => [7,5,2,3,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,4,6,3,2] => [5,3,7,2,6,4,1] => [5,7,3,1,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,5,1,6,2,3,4] => [5,7,1,3,6,2,4] => [7,5,2,1,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,6,2,4,3] => [5,7,4,1,6,2,3] => [5,4,7,3,6,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,5,1,6,3,2,4] => [5,3,7,1,6,2,4] => [5,7,3,2,6,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,5,1,6,3,4,2] => [5,4,7,1,6,3,2] => [5,7,4,3,6,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,5,1,6,4,2,3] => [5,4,1,7,6,2,3] => [5,7,2,4,6,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,5,1,6,4,3,2] => [5,3,4,7,6,2,1] => [3,7,5,4,6,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,2,1,3,4,6] => [2,5,1,3,7,4,6] => [7,2,1,3,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,3,6,4] => [2,5,1,7,6,4,3] => [7,2,1,5,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,4,3,6] => [2,5,4,1,7,3,6] => [4,2,7,3,5,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,5,2,1,4,6,3] => [2,5,7,3,6,4,1] => [7,2,5,1,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,6,3,4] => [2,5,7,1,6,3,4] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,6,4,3] => [2,5,4,7,6,3,1] => [5,2,7,4,6,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,5,2,3,1,4,6] => [3,5,2,1,7,4,6] => [7,3,1,2,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,1,6,4] => [3,5,2,7,6,4,1] => [7,3,1,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,4,1,6] => [4,5,2,3,7,1,6] => [7,4,1,2,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,4,6,1] => [6,5,2,3,7,4,1] => [6,7,1,2,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,5,2,3,6,1,4] => [6,5,2,1,7,3,4] => [6,7,1,3,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,5,2,3,6,4,1] => [4,6,1,5,7,3,2] => [7,4,2,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,1,3,6] => [4,5,1,2,7,3,6] => [7,4,2,3,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,1,6,3] => [4,5,7,3,6,1,2] => [7,5,4,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,3,1,6] => [3,4,5,1,7,2,6] => [7,4,3,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,3,6,1] => [6,5,4,2,7,3,1] => [4,6,7,2,5,1,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,5,2,4,6,1,3] => [6,5,1,2,7,4,3] => [6,7,2,3,5,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,5,2,4,6,3,1] => [3,6,5,1,7,4,2] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,1,3,4] => [6,5,1,3,7,2,4] => [6,7,2,1,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,5,2,6,1,4,3] => [6,5,4,1,7,2,3] => [4,6,7,3,5,2,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,5,2,6,3,1,4] => [3,6,5,2,7,1,4] => [7,3,6,1,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,3,4,1] => [4,5,7,2,6,3,1] => [7,5,4,2,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,4,1,3] => [4,6,2,5,7,1,3] => [7,4,1,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,4,3,1] => [3,4,6,5,7,2,1] => [7,4,3,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,2,4,6] => [3,1,5,2,7,4,6] => [7,1,3,2,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,2,6,4] => [3,1,5,7,6,4,2] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,4,2,6] => [3,5,4,2,7,1,6] => [7,3,4,1,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,4,6,2] => [3,5,7,1,6,4,2] => [7,5,3,2,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,6,2,4] => [3,5,7,2,6,1,4] => [7,5,3,1,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,6,4,2] => [3,5,4,7,6,1,2] => [7,3,5,4,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,1,4,6] => [2,3,5,1,7,4,6] => [7,2,3,1,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,1,6,4] => [2,3,5,7,6,4,1] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,4,1,6] => [4,3,5,2,7,1,6] => [4,7,3,1,5,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,3,2,4,6,1] => [6,3,5,2,7,4,1] => [3,7,6,1,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,3,2,6,1,4] => [6,3,5,1,7,2,4] => [3,7,6,2,5,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,3,2,6,4,1] => [4,3,6,5,7,1,2] => [4,7,3,6,5,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,3,4,1,2,6] => [4,1,5,3,7,2,6] => [7,1,4,2,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,1,6,2] => [4,6,5,3,7,1,2] => [7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,2,1,6] => [2,4,5,3,7,1,6] => [7,2,4,1,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,2,6,1] => [6,4,5,3,7,2,1] => [4,7,6,1,5,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,3,4,6,1,2] => [6,1,5,3,7,4,2] => [6,1,7,2,5,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,5,3,4,6,2,1] => [2,6,5,3,7,4,1] => [6,2,7,1,5,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,5,3,6,1,2,4] => [6,1,5,2,7,3,4] => [6,1,7,3,5,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,5,3,6,1,4,2] => [6,4,5,1,7,3,2] => [4,7,6,3,5,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,3,6,2,1,4] => [2,6,5,1,7,3,4] => [6,2,7,3,5,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,5,3,6,2,4,1] => [4,6,5,2,7,3,1] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,4,1,2] => [4,1,6,5,7,2,3] => [7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,4,2,1] => [2,4,6,5,7,1,3] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,2,3,6] => [4,1,2,5,7,3,6] => [7,1,2,4,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,2,6,3] => [4,1,5,7,6,2,3] => [7,1,5,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,3,2,6] => [4,3,1,5,7,2,6] => [3,7,2,4,5,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,4,1,3,6,2] => [4,5,1,7,6,3,2] => [7,5,2,4,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,6,2,3] => [4,5,2,7,6,1,3] => [7,5,1,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,6,3,2] => [4,3,5,7,6,1,2] => [5,7,3,4,6,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,5,4,2,1,3,6] => [2,4,1,5,7,3,6] => [7,2,1,4,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,1,6,3] => [2,4,5,7,6,1,3] => [7,2,5,4,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,3,1,6] => [3,4,2,5,7,1,6] => [7,3,1,4,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,3,6,1] => [6,4,2,5,7,3,1] => [4,7,1,6,5,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,4,2,6,1,3] => [6,4,1,5,7,2,3] => [4,7,2,6,5,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,4,2,6,3,1] => [3,6,4,5,7,1,2] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,1,2,6] => [3,1,4,5,7,2,6] => [7,1,3,4,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,1,6,2] => [3,4,5,7,6,2,1] => [7,5,3,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,2,1,6] => [2,3,4,5,7,1,6] => [7,2,3,4,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,2,6,1] => [6,3,4,5,7,2,1] => [3,7,4,6,5,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,4,3,6,1,2] => [6,1,4,5,7,3,2] => [4,1,7,6,5,2,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,5,4,3,6,2,1] => [2,6,4,5,7,3,1] => [4,2,7,6,5,1,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,5,4,6,1,2,3] => [6,1,2,5,7,4,3] => [6,1,2,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,5,4,6,1,3,2] => [6,3,1,5,7,4,2] => [3,6,2,7,5,1,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[7,5,4,6,2,1,3] => [2,6,1,5,7,4,3] => [6,2,1,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,5,4,6,2,3,1] => [3,6,2,5,7,4,1] => [6,3,1,7,5,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,5,4,6,3,1,2] => [3,1,6,5,7,4,2] => [6,1,3,7,5,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,5,4,6,3,2,1] => [2,3,6,5,7,4,1] => [6,2,3,7,5,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,5,6,1,2,3,4] => [6,1,2,3,7,5,4] => [7,1,2,3,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,1,2,4,3] => [6,1,4,2,7,5,3] => [4,1,7,3,6,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,5,6,1,3,2,4] => [6,3,1,2,7,5,4] => [3,7,2,1,6,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,6,1,3,4,2] => [6,4,1,3,7,5,2] => [4,7,2,1,6,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,6,1,4,2,3] => [6,4,2,1,7,5,3] => [4,7,1,3,6,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,6,1,4,3,2] => [6,3,4,1,7,5,2] => [3,7,4,2,6,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,6,2,1,3,4] => [2,6,1,3,7,5,4] => [7,2,1,3,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,1,4,3] => [2,6,4,1,7,5,3] => [4,2,7,3,6,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,5,6,2,3,1,4] => [3,6,2,1,7,5,4] => [7,3,1,2,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,3,4,1] => [4,6,2,3,7,5,1] => [7,4,1,2,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,4,1,3] => [4,6,1,2,7,5,3] => [7,4,2,3,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,4,3,1] => [3,4,6,1,7,5,2] => [7,4,3,2,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,1,2,4] => [3,1,6,2,7,5,4] => [7,1,3,2,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,1,4,2] => [3,6,4,2,7,5,1] => [7,3,4,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,2,1,4] => [2,3,6,1,7,5,4] => [7,2,3,1,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,2,4,1] => [4,3,6,2,7,5,1] => [4,7,3,1,6,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,6,3,4,1,2] => [4,1,6,3,7,5,2] => [7,1,4,2,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,4,2,1] => [2,4,6,3,7,5,1] => [7,2,4,1,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,1,2,3] => [4,1,2,6,7,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,1,3,2] => [4,3,1,6,7,5,2] => [3,7,2,4,6,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,6,4,2,1,3] => [2,4,1,6,7,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,2,3,1] => [3,4,2,6,7,5,1] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,3,1,2] => [3,1,4,6,7,5,2] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,3,2,1] => [2,3,4,6,7,5,1] => [7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,2,3,4,5] => [6,1,2,3,4,7,5] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,2,3,5,4] => [6,1,2,5,3,7,4] => [5,1,2,7,4,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,6,1,2,4,3,5] => [6,1,4,2,3,7,5] => [4,1,7,3,2,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,6,1,2,4,5,3] => [6,1,5,2,4,7,3] => [5,1,7,3,2,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,6,1,2,5,3,4] => [6,1,5,3,2,7,4] => [5,1,7,2,4,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,6,1,2,5,4,3] => [6,1,4,5,2,7,3] => [4,1,7,5,3,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,6,1,3,2,4,5] => [6,3,1,2,4,7,5] => [3,7,2,1,4,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,1,3,2,5,4] => [6,3,1,5,2,7,4] => [3,5,2,7,4,6,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[7,6,1,3,4,2,5] => [6,4,1,3,2,7,5] => [4,7,2,1,3,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,1,3,4,5,2] => [6,5,1,3,4,7,2] => [5,7,2,1,3,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,1,3,5,2,4] => [6,5,1,2,3,7,4] => [5,7,2,3,4,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,1,3,5,4,2] => [6,4,1,5,3,7,2] => [4,7,2,5,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,1,4,2,3,5] => [6,4,2,1,3,7,5] => [4,7,1,3,2,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,1,4,2,5,3] => [6,4,5,1,2,7,3] => [4,7,5,3,2,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,1,4,3,2,5] => [6,3,4,1,2,7,5] => [3,7,4,2,1,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,1,4,3,5,2] => [6,5,4,1,3,7,2] => [4,5,7,3,1,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[7,6,1,4,5,2,3] => [6,5,2,1,4,7,3] => [5,7,1,3,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,1,4,5,3,2] => [6,3,5,1,4,7,2] => [3,7,5,2,1,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,1,5,2,3,4] => [6,5,2,3,1,7,4] => [5,7,1,2,4,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,1,5,2,4,3] => [6,5,4,2,1,7,3] => [4,5,7,2,3,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[7,6,1,5,3,2,4] => [6,3,5,2,1,7,4] => [3,7,5,1,4,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,1,5,3,4,2] => [6,4,5,3,1,7,2] => [4,7,5,1,3,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,1,5,4,2,3] => [6,4,2,5,1,7,3] => [4,7,1,5,3,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,1,5,4,3,2] => [6,3,4,5,1,7,2] => [3,7,4,5,2,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,2,1,3,4,5] => [2,6,1,3,4,7,5] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,1,3,5,4] => [2,6,1,5,3,7,4] => [5,2,1,7,4,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,6,2,1,4,3,5] => [2,6,4,1,3,7,5] => [4,2,7,3,1,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,6,2,1,4,5,3] => [2,6,5,1,4,7,3] => [5,2,7,3,1,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,6,2,1,5,3,4] => [2,6,5,3,1,7,4] => [5,2,7,1,4,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,6,2,1,5,4,3] => [2,6,4,5,1,7,3] => [4,2,7,5,3,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,6,2,3,1,4,5] => [3,6,2,1,4,7,5] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,1,5,4] => [3,6,2,5,1,7,4] => [5,3,1,7,4,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,6,2,3,4,1,5] => [4,6,2,3,1,7,5] => [7,4,1,2,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,4,5,1] => [5,6,2,3,4,7,1] => [7,5,1,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,5,1,4] => [5,6,2,1,3,7,4] => [7,5,1,3,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,5,4,1] => [4,5,1,6,3,7,2] => [7,5,2,4,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,1,3,5] => [4,6,1,2,3,7,5] => [7,4,2,3,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,1,5,3] => [4,6,5,2,1,7,3] => [7,4,5,2,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,3,1,5] => [3,4,6,1,2,7,5] => [7,4,3,2,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,3,5,1] => [5,6,4,2,3,7,1] => [5,4,7,2,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,6,2,4,5,1,3] => [5,6,1,2,4,7,3] => [7,5,2,3,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,5,3,1] => [3,5,6,1,4,7,2] => [7,5,3,2,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,1,3,4] => [5,6,1,3,2,7,4] => [7,5,2,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,1,4,3] => [5,6,4,1,2,7,3] => [5,4,7,3,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,6,2,5,3,1,4] => [3,5,6,2,1,7,4] => [7,5,3,1,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,3,4,1] => [4,6,5,3,2,7,1] => [7,4,5,1,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,4,1,3] => [4,5,2,6,1,7,3] => [7,5,1,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,4,3,1] => [3,4,5,6,2,7,1] => [7,5,3,4,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,2,4,5] => [3,1,6,2,4,7,5] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,2,5,4] => [3,1,6,5,2,7,4] => [5,1,3,7,4,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,6,3,1,4,2,5] => [3,6,4,2,1,7,5] => [7,3,4,1,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,4,5,2] => [3,6,5,2,4,7,1] => [7,3,5,1,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,5,2,4] => [3,6,5,1,2,7,4] => [7,3,5,2,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,5,4,2] => [3,6,4,5,2,7,1] => [7,3,4,5,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,1,4,5] => [2,3,6,1,4,7,5] => [7,2,3,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,1,5,4] => [2,3,6,5,1,7,4] => [5,2,3,7,4,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,6,3,2,4,1,5] => [4,3,6,2,1,7,5] => [4,7,3,1,2,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,3,2,4,5,1] => [5,3,6,2,4,7,1] => [5,7,3,1,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,3,2,5,1,4] => [5,3,6,1,2,7,4] => [5,7,3,2,4,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,3,2,5,4,1] => [4,3,5,6,1,7,2] => [5,7,3,4,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,3,4,1,2,5] => [4,1,6,3,2,7,5] => [7,1,4,2,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,1,5,2] => [4,5,6,3,1,7,2] => [7,5,4,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,2,1,5] => [2,4,6,3,1,7,5] => [7,2,4,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,2,5,1] => [5,4,6,3,2,7,1] => [5,7,4,1,2,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,3,4,5,1,2] => [5,1,6,3,4,7,2] => [7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,5,2,1] => [2,5,6,3,4,7,1] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,1,2,4] => [5,1,6,2,3,7,4] => [7,1,5,3,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,1,4,2] => [5,4,6,1,3,7,2] => [5,7,4,3,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,3,5,2,1,4] => [2,5,6,1,3,7,4] => [7,2,5,3,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,2,4,1] => [4,5,6,2,3,7,1] => [7,5,4,2,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,4,1,2] => [4,1,5,6,2,7,3] => [7,1,5,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,4,2,1] => [2,4,5,6,1,7,3] => [7,2,5,4,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,2,3,5] => [4,1,2,6,3,7,5] => [7,1,2,4,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,2,5,3] => [4,1,6,5,3,7,2] => [7,1,4,5,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,3,2,5] => [4,3,1,6,2,7,5] => [3,7,2,4,1,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,4,1,3,5,2] => [4,6,2,5,3,7,1] => [7,4,1,5,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,5,2,3] => [4,6,1,5,2,7,3] => [7,4,2,5,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,5,3,2] => [4,3,6,5,2,7,1] => [4,7,3,5,1,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,4,2,1,3,5] => [2,4,1,6,3,7,5] => [7,2,1,4,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,2,1,5,3] => [2,4,6,5,3,7,1] => [7,2,4,5,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,2,3,1,5] => [3,4,2,6,1,7,5] => [7,3,1,4,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,2,3,5,1] => [5,4,2,6,3,7,1] => [5,7,1,4,2,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,4,2,5,1,3] => [5,4,1,6,2,7,3] => [5,7,2,4,3,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,4,2,5,3,1] => [3,5,4,6,1,7,2] => [7,3,5,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,1,2,5] => [3,1,4,6,2,7,5] => [7,1,3,4,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,1,5,2] => [3,4,6,5,1,7,2] => [7,4,3,5,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,2,1,5] => [2,3,4,6,1,7,5] => [7,2,3,4,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,2,5,1] => [5,3,4,6,2,7,1] => [3,7,5,4,1,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,4,3,5,1,2] => [5,1,4,6,3,7,2] => [5,1,7,4,2,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,6,4,3,5,2,1] => [2,5,4,6,3,7,1] => [5,2,7,4,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,6,4,5,1,2,3] => [5,1,2,6,4,7,3] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,1,3,2] => [5,3,1,6,4,7,2] => [3,7,2,5,1,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,4,5,2,1,3] => [2,5,1,6,4,7,3] => [7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,2,3,1] => [3,5,2,6,4,7,1] => [7,3,1,5,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,3,1,2] => [3,1,5,6,4,7,2] => [7,1,3,5,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,3,2,1] => [2,3,5,6,4,7,1] => [7,2,3,5,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,1,2,3,4] => [5,1,2,3,6,7,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,1,2,4,3] => [5,1,4,2,6,7,3] => [4,1,7,3,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,6,5,1,3,2,4] => [5,3,1,2,6,7,4] => [3,7,2,1,5,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,5,1,3,4,2] => [5,4,1,3,6,7,2] => [4,7,2,1,5,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,5,1,4,2,3] => [5,4,2,1,6,7,3] => [4,7,1,3,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,5,1,4,3,2] => [5,3,4,1,6,7,2] => [3,7,4,2,5,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,5,2,1,3,4] => [2,5,1,3,6,7,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,1,4,3] => [2,5,4,1,6,7,3] => [4,2,7,3,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,6,5,2,3,1,4] => [3,5,2,1,6,7,4] => [7,3,1,2,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,3,4,1] => [4,5,2,3,6,7,1] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,4,1,3] => [4,5,1,2,6,7,3] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,4,3,1] => [3,4,5,1,6,7,2] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,1,2,4] => [3,1,5,2,6,7,4] => [7,1,3,2,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,1,4,2] => [3,5,4,2,6,7,1] => [7,3,4,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,2,1,4] => [2,3,5,1,6,7,4] => [7,2,3,1,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,2,4,1] => [4,3,5,2,6,7,1] => [4,7,3,1,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,5,3,4,1,2] => [4,1,5,3,6,7,2] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,4,2,1] => [2,4,5,3,6,7,1] => [7,2,4,1,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,1,2,3] => [4,1,2,5,6,7,3] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,1,3,2] => [4,3,1,5,6,7,2] => [3,7,2,4,5,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,5,4,2,1,3] => [2,4,1,5,6,7,3] => [7,2,1,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,2,3,1] => [3,4,2,5,6,7,1] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,3,1,2] => [3,1,4,5,6,7,2] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,3,2,1] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1] => [7,2,3,4,5,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,5,4,3,2,1] => [2,3,4,5,7,8,6,1] => [8,2,3,4,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,4,3,2,1] => [2,3,4,5,8,7,6,1] => [7,2,3,4,5,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,8,5,4,3,2,1] => [2,3,4,5,8,6,7,1] => [6,2,3,4,5,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,6,4,3,2,1] => [2,3,4,6,7,5,8,1] => [8,2,3,4,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,4,3,2,1] => [2,3,4,6,8,5,7,1] => [7,2,3,4,6,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,5,7,4,3,2,1] => [2,3,4,7,6,8,5,1] => [7,2,3,4,8,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,5,6,7,4,3,2,1] => [2,3,4,7,8,5,6,1] => [8,2,3,4,7,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,4,3,2,1] => [2,3,4,8,6,7,5,1] => [6,2,3,4,8,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,7,5,8,4,3,2,1] => [2,3,4,8,7,6,5,1] => [6,2,3,4,7,8,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[7,5,6,8,4,3,2,1] => [2,3,4,8,7,5,6,1] => [7,2,3,4,8,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,7,8,4,3,2,1] => [2,3,4,8,6,5,7,1] => [6,2,3,4,7,1,8,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,7,8,4,3,2,1] => [2,3,4,8,5,6,7,1] => [5,2,3,4,6,7,8,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,6,4,5,3,2,1] => [2,3,5,6,4,7,8,1] => [8,2,3,5,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,5,3,2,1] => [2,3,5,8,4,6,7,1] => [6,2,3,5,1,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,4,5,6,3,2,1] => [2,3,6,7,4,5,8,1] => [8,2,3,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,5,6,3,2,1] => [2,3,6,8,4,5,7,1] => [7,2,3,6,1,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,5,4,7,3,2,1] => [2,3,7,5,6,8,4,1] => [5,2,3,8,7,6,1,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,5,4,6,7,3,2,1] => [2,3,7,5,8,4,6,1] => [7,2,3,8,5,1,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,4,5,6,7,3,2,1] => [2,3,7,8,4,5,6,1] => [8,2,3,7,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,4,8,3,2,1] => [2,3,8,6,7,5,4,1] => [6,2,3,8,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,5,7,4,8,3,2,1] => [2,3,8,7,6,5,4,1] => [6,2,3,7,8,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,6,4,5,8,3,2,1] => [2,3,8,6,4,7,5,1] => [6,2,3,8,1,7,4,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,5,4,6,8,3,2,1] => [2,3,8,5,7,4,6,1] => [5,2,3,8,7,1,4,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,5,4,7,8,3,2,1] => [2,3,8,5,6,4,7,1] => [5,2,3,7,6,1,8,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[5,6,4,7,8,3,2,1] => [2,3,8,6,5,4,7,1] => [5,2,3,6,7,1,8,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[5,4,6,7,8,3,2,1] => [2,3,8,5,4,6,7,1] => [5,2,3,6,1,7,8,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[4,5,6,7,8,3,2,1] => [2,3,8,4,5,6,7,1] => [4,2,3,5,6,7,8,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[8,7,6,5,3,4,2,1] => [2,4,5,3,6,7,8,1] => [8,2,4,1,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,3,4,2,1] => [2,4,5,3,8,6,7,1] => [6,2,4,1,5,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,6,3,4,2,1] => [2,4,6,3,7,5,8,1] => [8,2,4,1,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,3,4,2,1] => [2,4,6,3,8,5,7,1] => [7,2,4,1,6,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,5,6,7,3,4,2,1] => [2,4,7,3,8,5,6,1] => [8,2,4,1,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,8,3,4,2,1] => [2,4,8,3,7,5,6,1] => [7,2,4,1,8,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,7,8,3,4,2,1] => [2,4,8,3,6,5,7,1] => [6,2,4,1,7,3,8,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,7,8,3,4,2,1] => [2,4,8,3,5,6,7,1] => [5,2,4,1,6,7,8,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,6,4,3,5,2,1] => [2,5,4,6,3,7,8,1] => [5,2,8,4,1,6,7,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,6,7,4,3,5,2,1] => [2,5,4,7,3,8,6,1] => [5,2,8,4,1,7,3,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,6,8,4,3,5,2,1] => [2,5,4,8,3,7,6,1] => [5,2,7,4,1,8,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[6,7,8,4,3,5,2,1] => [2,5,4,8,3,6,7,1] => [5,2,6,4,1,7,8,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[7,8,6,3,4,5,2,1] => [2,5,6,3,4,8,7,1] => [7,2,5,1,3,6,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,3,4,5,2,1] => [2,5,7,3,4,8,6,1] => [8,2,5,1,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,4,5,2,1] => [2,5,8,3,4,6,7,1] => [6,2,5,1,3,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,4,3,6,2,1] => [2,6,4,5,7,3,8,1] => [4,2,8,6,5,1,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,7,4,5,3,6,2,1] => [2,6,5,7,4,3,8,1] => [6,2,8,5,1,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,5,3,4,6,2,1] => [2,6,5,3,7,4,8,1] => [6,2,8,1,5,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,8,3,4,5,6,2,1] => [2,6,8,3,4,5,7,1] => [7,2,6,1,3,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,5,4,3,7,2,1] => [2,7,4,5,6,8,3,1] => [4,2,8,5,7,6,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,5,6,3,4,7,2,1] => [2,7,6,3,8,5,4,1] => [7,2,8,1,6,3,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,4,3,5,7,2,1] => [2,7,4,6,3,8,5,1] => [4,2,8,7,1,6,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,6,3,4,5,7,2,1] => [2,7,6,3,4,8,5,1] => [7,2,8,1,3,6,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,4,3,6,7,2,1] => [2,7,4,5,8,3,6,1] => [4,2,8,7,5,1,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,4,3,5,6,7,2,1] => [2,7,4,8,3,5,6,1] => [7,2,8,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,6,5,4,3,8,2,1] => [2,8,4,5,6,7,3,1] => [4,2,8,5,6,7,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,5,6,4,3,8,2,1] => [2,8,4,6,7,5,3,1] => [4,2,8,6,7,1,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,5,7,4,3,8,2,1] => [2,8,4,7,6,5,3,1] => [4,2,7,6,8,1,3,5] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[6,5,4,7,3,8,2,1] => [2,8,7,5,6,4,3,1] => [5,2,6,8,7,1,3,4] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[5,6,4,7,3,8,2,1] => [2,8,7,6,5,4,3,1] => [5,2,6,7,8,1,3,4] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[6,4,5,7,3,8,2,1] => [2,8,7,6,4,5,3,1] => [6,2,7,8,1,3,4,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,5,6,7,3,8,2,1] => [2,8,7,4,5,6,3,1] => [4,2,5,6,7,8,1,3] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[7,6,5,3,4,8,2,1] => [2,8,5,3,6,7,4,1] => [5,2,8,1,6,7,3,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,6,4,3,5,8,2,1] => [2,8,4,6,3,7,5,1] => [4,2,8,6,1,7,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,6,3,4,5,8,2,1] => [2,8,6,3,4,7,5,1] => [6,2,8,1,3,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,5,4,3,6,8,2,1] => [2,8,4,5,7,3,6,1] => [4,2,8,5,7,1,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,4,3,5,6,8,2,1] => [2,8,4,7,3,5,6,1] => [4,2,8,7,1,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,3,4,5,6,8,2,1] => [2,8,7,3,4,5,6,1] => [7,2,8,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,4,3,7,8,2,1] => [2,8,4,5,6,3,7,1] => [4,2,7,5,6,1,8,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,3,4,5,7,8,2,1] => [2,8,6,3,4,5,7,1] => [6,2,7,1,3,4,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[5,4,3,6,7,8,2,1] => [2,8,4,5,3,6,7,1] => [4,2,6,5,1,7,8,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[4,5,3,6,7,8,2,1] => [2,8,5,4,3,6,7,1] => [4,2,5,6,1,7,8,3] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[5,3,4,6,7,8,2,1] => [2,8,5,3,4,6,7,1] => [5,2,6,1,3,7,8,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[4,3,5,6,7,8,2,1] => [2,8,4,3,5,6,7,1] => [4,2,5,1,6,7,8,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[3,4,5,6,7,8,2,1] => [2,8,3,4,5,6,7,1] => [3,2,4,5,6,7,8,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,1] => [8,3,1,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,4,2,3,1] => [3,4,2,5,6,8,7,1] => [7,3,1,4,5,6,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,5,4,2,3,1] => [3,4,2,5,7,8,6,1] => [8,3,1,4,5,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,6,4,2,3,1] => [3,4,2,6,7,5,8,1] => [8,3,1,4,6,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,4,2,3,1] => [3,4,2,6,8,5,7,1] => [7,3,1,4,6,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,5,8,4,2,3,1] => [3,4,2,8,7,6,5,1] => [6,3,1,4,7,8,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,7,8,4,2,3,1] => [3,4,2,8,5,6,7,1] => [5,3,1,4,6,7,8,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,6,4,5,2,3,1] => [3,5,2,6,4,7,8,1] => [8,3,1,5,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,4,5,2,3,1] => [3,5,2,7,4,8,6,1] => [8,3,1,5,2,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,4,5,2,3,1] => [3,5,2,8,4,7,6,1] => [7,3,1,5,2,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,8,4,5,2,3,1] => [3,5,2,8,4,6,7,1] => [6,3,1,5,2,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,4,6,2,3,1] => [3,6,2,5,7,4,8,1] => [6,3,1,8,5,2,7,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,7,4,5,6,2,3,1] => [3,6,2,7,4,5,8,1] => [8,3,1,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,5,6,2,3,1] => [3,6,2,8,4,5,7,1] => [7,3,1,6,2,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,5,6,4,7,2,3,1] => [3,7,2,6,8,5,4,1] => [7,3,1,8,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,4,5,6,7,2,3,1] => [3,7,2,8,4,5,6,1] => [8,3,1,7,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,4,8,2,3,1] => [3,8,2,6,7,5,4,1] => [6,3,1,8,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,5,7,4,8,2,3,1] => [3,8,2,7,6,5,4,1] => [6,3,1,7,8,2,4,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,5,4,6,8,2,3,1] => [3,8,2,5,7,4,6,1] => [5,3,1,8,7,2,4,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,4,6,7,8,2,3,1] => [3,8,2,5,4,6,7,1] => [5,3,1,6,2,7,8,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[4,5,6,7,8,2,3,1] => [3,8,2,4,5,6,7,1] => [4,3,1,5,6,7,8,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[8,7,6,5,3,2,4,1] => [4,3,5,2,6,7,8,1] => [4,8,3,1,5,6,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,5,6,3,2,4,1] => [4,3,6,2,7,5,8,1] => [4,8,3,1,6,2,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,5,7,3,2,4,1] => [4,3,7,2,6,8,5,1] => [4,7,3,1,8,6,2,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,5,6,7,3,2,4,1] => [4,3,7,2,8,5,6,1] => [4,8,3,1,7,2,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,8,3,2,4,1] => [4,3,8,2,7,6,5,1] => [4,6,3,1,7,8,2,5] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[7,5,6,8,3,2,4,1] => [4,3,8,2,7,5,6,1] => [4,7,3,1,8,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,5,7,8,3,2,4,1] => [4,3,8,2,6,5,7,1] => [4,6,3,1,7,2,8,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[5,6,7,8,3,2,4,1] => [4,3,8,2,5,6,7,1] => [4,5,3,1,6,7,8,2] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[8,7,6,5,2,3,4,1] => [4,5,2,3,6,7,8,1] => [8,4,1,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,2,3,4,1] => [4,5,2,3,8,6,7,1] => [6,4,1,2,5,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,6,2,3,4,1] => [4,6,2,3,7,5,8,1] => [8,4,1,2,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,7,2,3,4,1] => [4,7,2,3,8,5,6,1] => [8,4,1,2,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,2,3,4,1] => [4,8,2,3,6,7,5,1] => [6,4,1,2,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,6,7,8,2,3,4,1] => [4,8,2,3,5,6,7,1] => [5,4,1,2,6,7,8,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[7,8,6,4,3,2,5,1] => [5,3,4,6,2,8,7,1] => [3,7,5,4,1,6,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[7,6,8,4,3,2,5,1] => [5,3,4,8,2,7,6,1] => [3,7,5,4,1,8,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[8,7,6,3,4,2,5,1] => [5,4,6,3,2,7,8,1] => [5,8,4,1,2,6,7,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,8,6,3,4,2,5,1] => [5,4,6,3,2,8,7,1] => [5,7,4,1,2,6,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[8,6,7,3,4,2,5,1] => [5,4,7,3,2,8,6,1] => [5,8,4,1,2,7,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,6,8,3,4,2,5,1] => [5,4,8,3,2,7,6,1] => [5,7,4,1,2,8,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,7,8,3,4,2,5,1] => [5,4,8,3,2,6,7,1] => [5,6,4,1,2,7,8,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[8,6,7,4,2,3,5,1] => [5,4,2,7,3,8,6,1] => [5,8,1,4,2,7,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,7,8,3,2,4,5,1] => [5,3,8,2,4,6,7,1] => [5,6,3,1,2,7,8,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[8,7,6,2,3,4,5,1] => [5,6,2,3,4,7,8,1] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,2,3,4,5,1] => [5,7,2,3,4,8,6,1] => [8,5,1,2,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,2,3,4,5,1] => [5,8,2,3,4,7,6,1] => [7,5,1,2,3,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,8,2,3,4,5,1] => [5,8,2,3,4,6,7,1] => [6,5,1,2,3,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,3,4,2,6,1] => [6,4,5,3,7,2,8,1] => [4,8,6,1,5,2,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,5,3,4,2,6,1] => [6,4,5,3,8,2,7,1] => [4,7,6,1,5,2,8,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[8,7,4,3,5,2,6,1] => [6,5,4,7,3,2,8,1] => [5,6,8,4,1,2,7,3] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[7,8,4,3,5,2,6,1] => [6,5,4,8,3,2,7,1] => [5,6,7,4,1,2,8,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[7,8,3,4,5,2,6,1] => [6,5,8,3,4,2,7,1] => [6,7,5,1,2,3,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[8,7,5,4,2,3,6,1] => [6,4,2,5,7,3,8,1] => [4,8,1,6,5,2,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,5,4,2,3,6,1] => [6,4,2,5,8,3,7,1] => [4,7,1,6,5,2,8,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,8,4,5,2,3,6,1] => [6,5,2,8,4,3,7,1] => [6,7,1,5,2,3,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[8,7,5,3,2,4,6,1] => [6,3,5,2,7,4,8,1] => [3,8,6,1,5,2,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,3,4,2,5,6,1] => [6,4,7,3,2,5,8,1] => [6,8,4,1,2,3,7,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,8,4,2,3,5,6,1] => [6,4,2,8,3,5,7,1] => [6,7,1,4,2,3,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[7,8,3,2,4,5,6,1] => [6,3,8,2,4,5,7,1] => [6,7,3,1,2,4,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[8,7,2,3,4,5,6,1] => [6,7,2,3,4,5,8,1] => [8,6,1,2,3,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,3,4,2,7,1] => [7,4,6,3,8,5,2,1] => [4,8,7,1,6,2,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,4,3,5,2,7,1] => [7,5,4,6,3,8,2,1] => [4,7,8,5,1,6,2,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[8,5,4,3,6,2,7,1] => [7,6,4,5,8,3,2,1] => [4,6,8,7,5,1,2,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[8,4,5,3,6,2,7,1] => [7,6,5,8,4,3,2,1] => [6,7,8,5,1,2,3,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,5,3,4,6,2,7,1] => [7,6,5,3,8,4,2,1] => [6,7,8,1,5,2,3,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,4,3,5,6,2,7,1] => [7,6,4,8,3,5,2,1] => [6,7,8,4,1,2,3,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,3,4,5,6,2,7,1] => [7,6,8,3,4,5,2,1] => [7,8,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,6,4,2,3,7,1] => [7,4,2,6,8,5,3,1] => [4,8,1,7,6,2,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,4,6,2,3,7,1] => [7,6,2,5,8,4,3,1] => [6,7,1,8,5,2,3,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,6,2,3,4,5,7,1] => [7,6,2,3,4,8,5,1] => [7,8,1,2,3,6,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,4,3,2,6,7,1] => [7,3,4,5,8,2,6,1] => [3,8,4,7,5,1,2,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,5,3,2,6,7,1] => [7,3,5,8,4,2,6,1] => [3,8,7,5,1,2,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,3,4,2,6,7,1] => [7,4,5,3,8,2,6,1] => [4,8,7,1,5,2,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,4,3,5,2,6,7,1] => [7,5,4,8,3,2,6,1] => [5,7,8,4,1,2,3,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,3,4,5,2,6,7,1] => [7,5,8,3,4,2,6,1] => [7,8,5,1,2,3,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,4,2,3,6,7,1] => [7,4,2,5,8,3,6,1] => [4,8,1,7,5,2,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,2,3,4,6,7,1] => [7,5,2,3,8,4,6,1] => [7,8,1,2,5,3,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,4,2,5,6,7,1] => [7,4,8,3,2,5,6,1] => [7,8,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,2,4,5,6,7,1] => [7,3,8,2,4,5,6,1] => [7,8,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,3,4,5,6,7,1] => [7,8,2,3,4,5,6,1] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,4,3,2,8,1] => [8,3,4,5,7,6,2,1] => [3,7,4,5,6,8,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,6,4,5,3,2,8,1] => [8,3,5,6,4,7,2,1] => [3,8,5,6,1,7,2,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,6,3,2,8,1] => [8,3,6,5,7,4,2,1] => [3,7,5,8,6,1,2,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[6,5,4,7,3,2,8,1] => [8,3,7,5,6,4,2,1] => [3,6,5,8,7,1,2,4] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[4,5,6,7,3,2,8,1] => [8,3,7,4,5,6,2,1] => [3,5,4,6,7,8,1,2] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[7,5,6,3,4,2,8,1] => [8,4,6,3,7,5,2,1] => [4,8,6,1,7,2,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,3,4,2,8,1] => [8,4,7,3,6,5,2,1] => [4,7,6,1,8,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,6,7,3,4,2,8,1] => [8,4,7,3,5,6,2,1] => [4,6,5,1,7,8,2,3] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[7,6,4,3,5,2,8,1] => [8,5,4,6,3,7,2,1] => [4,6,8,5,1,7,2,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[6,7,4,3,5,2,8,1] => [8,5,4,7,3,6,2,1] => [4,6,7,5,1,8,2,3] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[7,5,4,3,6,2,8,1] => [8,6,4,5,7,3,2,1] => [4,5,8,7,6,1,2,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,4,5,3,6,2,8,1] => [8,6,5,7,4,3,2,1] => [5,7,8,6,1,2,3,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,5,3,4,6,2,8,1] => [8,6,5,3,7,4,2,1] => [5,7,8,1,6,2,3,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,3,4,5,6,2,8,1] => [8,6,7,3,4,5,2,1] => [6,8,7,1,2,3,4,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,5,4,3,7,2,8,1] => [8,7,4,5,6,3,2,1] => [4,5,8,6,7,1,2,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[5,6,4,3,7,2,8,1] => [8,7,4,6,5,3,2,1] => [4,5,7,6,8,1,2,3] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[6,4,5,3,7,2,8,1] => [8,7,5,6,4,3,2,1] => [5,6,8,7,1,2,3,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1] => [5,6,7,8,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[4,5,6,3,7,2,8,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[6,5,3,4,7,2,8,1] => [8,7,5,3,6,4,2,1] => [5,6,8,1,7,2,3,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,6,3,4,7,2,8,1] => [8,7,6,3,5,4,2,1] => [5,6,7,1,8,2,3,4] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[6,3,4,5,7,2,8,1] => [8,7,6,3,4,5,2,1] => [6,7,8,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1] => [4,5,6,7,1,8,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[5,3,4,6,7,2,8,1] => [8,7,5,3,4,6,2,1] => [5,6,7,1,2,8,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[4,3,5,6,7,2,8,1] => [8,7,4,3,5,6,2,1] => [4,5,6,1,7,8,2,3] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1] => [3,4,5,6,7,8,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[7,6,5,4,2,3,8,1] => [8,4,2,5,6,7,3,1] => [4,8,1,5,6,7,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,4,2,3,8,1] => [8,4,2,5,7,6,3,1] => [4,7,1,5,6,8,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,5,7,4,2,3,8,1] => [8,4,2,7,6,5,3,1] => [4,7,1,6,8,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,6,4,5,2,3,8,1] => [8,5,2,6,4,7,3,1] => [5,8,1,6,2,7,3,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,7,4,5,2,3,8,1] => [8,5,2,7,4,6,3,1] => [5,7,1,6,2,8,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[7,5,4,6,2,3,8,1] => [8,6,2,5,7,4,3,1] => [5,7,1,8,6,2,3,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[7,4,5,6,2,3,8,1] => [8,6,2,7,4,5,3,1] => [6,8,1,7,2,3,4,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,5,4,7,2,3,8,1] => [8,7,2,5,6,4,3,1] => [5,6,1,8,7,2,3,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[5,6,4,7,2,3,8,1] => [8,7,2,6,5,4,3,1] => [5,6,1,7,8,2,3,4] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[6,4,5,7,2,3,8,1] => [8,7,2,6,4,5,3,1] => [6,7,1,8,2,3,4,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[4,5,6,7,2,3,8,1] => [8,7,2,4,5,6,3,1] => [4,5,1,6,7,8,2,3] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[7,6,5,3,2,4,8,1] => [8,3,5,2,6,7,4,1] => [3,8,5,1,6,7,2,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,2,4,8,1] => [8,3,6,2,7,5,4,1] => [3,8,6,1,7,2,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,3,2,4,8,1] => [8,3,7,2,6,5,4,1] => [3,7,6,1,8,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[7,6,5,2,3,4,8,1] => [8,5,2,3,6,7,4,1] => [5,8,1,2,6,7,3,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,3,4,8,1] => [8,6,2,3,7,5,4,1] => [6,8,1,2,7,3,4,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,6,4,2,3,5,8,1] => [8,4,2,6,3,7,5,1] => [4,8,1,6,2,7,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,4,5,8,1] => [8,3,6,2,4,7,5,1] => [3,8,6,1,2,7,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,2,6,8,1] => [8,3,5,7,4,2,6,1] => [3,8,5,7,1,2,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,2,6,8,1] => [8,4,5,3,7,2,6,1] => [4,8,5,1,7,2,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,2,6,8,1] => [8,5,7,3,4,2,6,1] => [5,8,7,1,2,3,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,3,6,8,1] => [8,4,2,5,7,3,6,1] => [4,8,1,5,7,2,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,4,6,8,1] => [8,3,5,2,7,4,6,1] => [3,8,5,1,7,2,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,5,6,8,1] => [8,3,4,7,2,5,6,1] => [3,8,4,7,1,2,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,5,6,8,1] => [8,4,2,7,3,5,6,1] => [4,8,1,7,2,3,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,4,5,6,8,1] => [8,3,7,2,4,5,6,1] => [3,8,7,1,2,4,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,5,6,8,1] => [8,7,2,3,4,5,6,1] => [7,8,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,5,6,3,2,7,8,1] => [8,3,6,4,5,2,7,1] => [3,5,4,6,7,1,8,2] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[6,5,3,4,2,7,8,1] => [8,4,5,3,6,2,7,1] => [4,7,5,1,6,2,8,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[6,4,3,5,2,7,8,1] => [8,5,4,6,3,2,7,1] => [4,6,7,5,1,2,8,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[6,3,4,5,2,7,8,1] => [8,5,6,3,4,2,7,1] => [5,7,6,1,2,3,8,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,4,3,6,2,7,8,1] => [8,6,4,5,3,2,7,1] => [4,5,7,6,1,2,8,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[4,5,3,6,2,7,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[5,3,4,6,2,7,8,1] => [8,6,5,3,4,2,7,1] => [5,6,7,1,2,3,8,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[6,5,4,2,3,7,8,1] => [8,4,2,5,6,3,7,1] => [4,7,1,5,6,2,8,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[5,6,4,2,3,7,8,1] => [8,4,2,6,5,3,7,1] => [4,6,1,5,7,2,8,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[5,4,6,2,3,7,8,1] => [8,6,2,5,4,3,7,1] => [5,6,1,7,2,3,8,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[4,5,6,2,3,7,8,1] => [8,6,2,4,5,3,7,1] => [4,5,1,6,7,2,8,3] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[6,3,2,4,5,7,8,1] => [8,3,6,2,4,5,7,1] => [3,7,6,1,2,4,8,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[6,2,3,4,5,7,8,1] => [8,6,2,3,4,5,7,1] => [6,7,1,2,3,4,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[5,4,3,2,6,7,8,1] => [8,3,4,5,2,6,7,1] => [3,6,4,5,1,7,8,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[4,5,3,2,6,7,8,1] => [8,3,5,4,2,6,7,1] => [3,5,4,6,1,7,8,2] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1] => [4,5,6,1,2,7,8,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1] => [3,4,5,6,1,7,8,2] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[5,4,2,3,6,7,8,1] => [8,4,2,5,3,6,7,1] => [4,6,1,5,2,7,8,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[5,2,3,4,6,7,8,1] => [8,5,2,3,4,6,7,1] => [5,6,1,2,3,7,8,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[4,3,2,5,6,7,8,1] => [8,3,4,2,5,6,7,1] => [3,5,4,1,6,7,8,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[4,2,3,5,6,7,8,1] => [8,4,2,3,5,6,7,1] => [4,5,1,2,6,7,8,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,2] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,4,3,1,2] => [3,1,4,5,6,8,7,2] => [7,1,3,4,5,6,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,8,5,4,3,1,2] => [3,1,4,5,8,6,7,2] => [6,1,3,4,5,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[7,8,5,6,4,3,1,2] => [3,1,4,6,8,5,7,2] => [7,1,3,4,6,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,5,7,8,4,3,1,2] => [3,1,4,8,6,5,7,2] => [6,1,3,4,7,2,8,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,7,8,4,3,1,2] => [3,1,4,8,5,6,7,2] => [5,1,3,4,6,7,8,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,5,4,6,3,1,2] => [3,1,6,5,7,4,8,2] => [6,1,3,8,5,2,7,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,5,6,4,7,3,1,2] => [3,1,7,6,8,5,4,2] => [7,1,3,8,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,6,4,5,7,3,1,2] => [3,1,7,6,4,8,5,2] => [7,1,3,8,2,6,4,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,5,6,4,8,3,1,2] => [3,1,8,6,7,5,4,2] => [6,1,3,8,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,6,4,5,8,3,1,2] => [3,1,8,6,4,7,5,2] => [6,1,3,8,2,7,4,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,5,6,7,8,3,1,2] => [3,1,8,4,5,6,7,2] => [4,1,3,5,6,7,8,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[8,7,6,5,3,4,1,2] => [4,1,5,3,6,7,8,2] => [8,1,4,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,3,4,1,2] => [4,1,5,3,6,8,7,2] => [7,1,4,2,5,6,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,8,5,3,4,1,2] => [4,1,5,3,8,6,7,2] => [6,1,4,2,5,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,6,3,4,1,2] => [4,1,6,3,7,5,8,2] => [8,1,4,2,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,3,4,1,2] => [4,1,6,3,8,5,7,2] => [7,1,4,2,6,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,5,7,3,4,1,2] => [4,1,7,3,6,8,5,2] => [7,1,4,2,8,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,5,6,7,3,4,1,2] => [4,1,7,3,8,5,6,2] => [8,1,4,2,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,3,4,1,2] => [4,1,8,3,6,7,5,2] => [6,1,4,2,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,5,7,8,3,4,1,2] => [4,1,8,3,6,5,7,2] => [6,1,4,2,7,3,8,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,7,8,3,4,1,2] => [4,1,8,3,5,6,7,2] => [5,1,4,2,6,7,8,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,6,7,3,4,5,1,2] => [5,1,7,3,4,8,6,2] => [8,1,5,2,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,4,5,1,2] => [5,1,8,3,4,6,7,2] => [6,1,5,2,3,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[7,8,5,4,3,6,1,2] => [6,1,4,5,8,3,7,2] => [4,1,7,6,5,2,8,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[7,8,5,3,4,6,1,2] => [6,1,5,3,8,4,7,2] => [6,1,7,2,5,3,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[8,7,3,4,5,6,1,2] => [6,1,7,3,4,5,8,2] => [8,1,6,2,3,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,3,7,1,2] => [7,1,4,5,6,8,3,2] => [4,1,8,5,7,6,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,5,4,6,3,7,1,2] => [7,1,6,5,8,4,3,2] => [6,1,7,8,5,2,3,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,6,4,3,5,7,1,2] => [7,1,4,6,3,8,5,2] => [4,1,8,7,2,6,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,5,4,3,6,7,1,2] => [7,1,4,5,8,3,6,2] => [4,1,8,7,5,2,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,5,3,4,6,7,1,2] => [7,1,5,3,8,4,6,2] => [7,1,8,2,5,3,4,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,3,5,6,7,1,2] => [7,1,4,8,3,5,6,2] => [7,1,8,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,3,4,5,6,7,1,2] => [7,1,8,3,4,5,6,2] => [8,1,7,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,3,8,1,2] => [8,1,4,5,6,7,3,2] => [4,1,8,5,6,7,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,7,5,4,3,8,1,2] => [8,1,4,5,7,6,3,2] => [4,1,7,5,6,8,2,3] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[7,6,4,5,3,8,1,2] => [8,1,5,6,4,7,3,2] => [5,1,8,6,2,7,3,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,7,4,5,3,8,1,2] => [8,1,5,7,4,6,3,2] => [5,1,7,6,2,8,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[7,5,4,6,3,8,1,2] => [8,1,6,5,7,4,3,2] => [5,1,7,8,6,2,3,4] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[7,4,5,6,3,8,1,2] => [8,1,6,7,4,5,3,2] => [6,1,8,7,2,3,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,4,7,3,8,1,2] => [8,1,7,5,6,4,3,2] => [5,1,6,8,7,2,3,4] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[5,6,4,7,3,8,1,2] => [8,1,7,6,5,4,3,2] => [5,1,6,7,8,2,3,4] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[6,4,5,7,3,8,1,2] => [8,1,7,6,4,5,3,2] => [6,1,7,8,2,3,4,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,5,6,3,4,8,1,2] => [8,1,6,3,7,5,4,2] => [6,1,8,2,7,3,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,7,3,4,8,1,2] => [8,1,7,3,6,5,4,2] => [6,1,7,2,8,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,6,7,3,4,8,1,2] => [8,1,7,3,5,6,4,2] => [5,1,6,2,7,8,3,4] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[6,7,4,3,5,8,1,2] => [8,1,4,7,3,6,5,2] => [4,1,7,6,2,8,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[7,5,4,3,6,8,1,2] => [8,1,4,5,7,3,6,2] => [4,1,8,5,7,2,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,5,3,4,6,8,1,2] => [8,1,5,3,7,4,6,2] => [5,1,8,2,7,3,4,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,3,4,5,6,8,1,2] => [8,1,7,3,4,5,6,2] => [7,1,8,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,4,3,7,8,1,2] => [8,1,4,5,6,3,7,2] => [4,1,7,5,6,2,8,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,3,4,5,7,8,1,2] => [8,1,6,3,4,5,7,2] => [6,1,7,2,3,4,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[5,4,3,6,7,8,1,2] => [8,1,4,5,3,6,7,2] => [4,1,6,5,2,7,8,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[4,3,5,6,7,8,1,2] => [8,1,4,3,5,6,7,2] => [4,1,5,2,6,7,8,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[3,4,5,6,7,8,1,2] => [8,1,3,4,5,6,7,2] => [3,1,4,5,6,7,8,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,3] => [8,2,1,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,4,2,1,3] => [2,4,1,5,8,7,6,3] => [7,2,1,4,5,8,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,7,5,6,4,2,1,3] => [2,4,1,6,7,5,8,3] => [8,2,1,4,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,4,2,1,3] => [2,4,1,6,8,5,7,3] => [7,2,1,4,6,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,5,6,7,4,2,1,3] => [2,4,1,7,8,5,6,3] => [8,2,1,4,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,4,2,1,3] => [2,4,1,8,6,7,5,3] => [6,2,1,4,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,7,5,8,4,2,1,3] => [2,4,1,8,7,6,5,3] => [6,2,1,4,7,8,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,7,8,4,2,1,3] => [2,4,1,8,5,6,7,3] => [5,2,1,4,6,7,8,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,6,7,4,5,2,1,3] => [2,5,1,7,4,8,6,3] => [8,2,1,5,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,4,5,2,1,3] => [2,5,1,8,4,7,6,3] => [7,2,1,5,3,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,8,4,5,2,1,3] => [2,5,1,8,4,6,7,3] => [6,2,1,5,3,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,4,6,2,1,3] => [2,6,1,5,7,4,8,3] => [6,2,1,8,5,3,7,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,8,5,4,6,2,1,3] => [2,6,1,5,8,4,7,3] => [6,2,1,7,5,3,8,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[7,8,4,5,6,2,1,3] => [2,6,1,8,4,5,7,3] => [7,2,1,6,3,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,5,4,7,2,1,3] => [2,7,1,5,6,8,4,3] => [5,2,1,8,7,6,3,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,5,4,6,7,2,1,3] => [2,7,1,5,8,4,6,3] => [7,2,1,8,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,4,5,6,7,2,1,3] => [2,7,1,8,4,5,6,3] => [8,2,1,7,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,4,8,2,1,3] => [2,8,1,7,6,5,4,3] => [6,2,1,7,8,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[5,6,7,4,8,2,1,3] => [2,8,1,7,5,6,4,3] => [5,2,1,6,7,8,3,4] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[7,6,4,5,8,2,1,3] => [2,8,1,6,4,7,5,3] => [6,2,1,8,3,7,4,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,7,4,5,8,2,1,3] => [2,8,1,7,4,6,5,3] => [6,2,1,7,3,8,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,5,4,7,8,2,1,3] => [2,8,1,5,6,4,7,3] => [5,2,1,7,6,3,8,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[4,5,6,7,8,2,1,3] => [2,8,1,4,5,6,7,3] => [4,2,1,5,6,7,8,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,3] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,4,1,2,3] => [4,1,2,5,6,8,7,3] => [7,1,2,4,5,6,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,8,5,4,1,2,3] => [4,1,2,5,8,6,7,3] => [6,1,2,4,5,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[7,8,5,6,4,1,2,3] => [4,1,2,6,8,5,7,3] => [7,1,2,4,6,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,5,6,7,4,1,2,3] => [4,1,2,7,8,5,6,3] => [8,1,2,4,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,8,4,1,2,3] => [4,1,2,8,7,6,5,3] => [6,1,2,4,7,8,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[7,5,6,8,4,1,2,3] => [4,1,2,8,7,5,6,3] => [7,1,2,4,8,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,7,8,4,1,2,3] => [4,1,2,8,5,6,7,3] => [5,1,2,4,6,7,8,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,6,4,5,1,2,3] => [5,1,2,6,4,7,8,3] => [8,1,2,5,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,4,5,1,2,3] => [5,1,2,6,4,8,7,3] => [7,1,2,5,3,6,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,4,5,1,2,3] => [5,1,2,7,4,8,6,3] => [8,1,2,5,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,5,1,2,3] => [5,1,2,8,4,6,7,3] => [6,1,2,5,3,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,4,6,1,2,3] => [6,1,2,5,7,4,8,3] => [6,1,2,8,5,3,7,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,8,5,4,6,1,2,3] => [6,1,2,5,8,4,7,3] => [6,1,2,7,5,3,8,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[7,8,4,5,6,1,2,3] => [6,1,2,8,4,5,7,3] => [7,1,2,6,3,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,5,4,6,7,1,2,3] => [7,1,2,5,8,4,6,3] => [7,1,2,8,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,4,5,6,7,1,2,3] => [7,1,2,8,4,5,6,3] => [8,1,2,7,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,8,1,2,3] => [8,1,2,5,6,7,4,3] => [5,1,2,8,6,7,3,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,5,6,4,8,1,2,3] => [8,1,2,6,7,5,4,3] => [6,1,2,8,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,5,7,4,8,1,2,3] => [8,1,2,7,6,5,4,3] => [6,1,2,7,8,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,6,4,5,8,1,2,3] => [8,1,2,6,4,7,5,3] => [6,1,2,8,3,7,4,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,7,4,5,8,1,2,3] => [8,1,2,7,4,6,5,3] => [6,1,2,7,3,8,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[7,4,5,6,8,1,2,3] => [8,1,2,7,4,5,6,3] => [7,1,2,8,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,5,7,8,1,2,3] => [8,1,2,6,4,5,7,3] => [6,1,2,7,3,4,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[4,5,6,7,8,1,2,3] => [8,1,2,4,5,6,7,3] => [4,1,2,5,6,7,8,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,4] => [8,2,3,1,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,6,3,2,1,4] => [2,3,6,1,7,5,8,4] => [8,2,3,1,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,7,3,2,1,4] => [2,3,7,1,6,8,5,4] => [7,2,3,1,8,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,5,6,7,3,2,1,4] => [2,3,7,1,8,5,6,4] => [8,2,3,1,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,3,2,1,4] => [2,3,8,1,6,7,5,4] => [6,2,3,1,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,7,5,8,3,2,1,4] => [2,3,8,1,7,6,5,4] => [6,2,3,1,7,8,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,7,8,3,2,1,4] => [2,3,8,1,5,6,7,4] => [5,2,3,1,6,7,8,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,6,5,2,3,1,4] => [3,5,2,1,6,7,8,4] => [8,3,1,2,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,5,2,3,1,4] => [3,5,2,1,7,8,6,4] => [8,3,1,2,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,2,3,1,4] => [3,5,2,1,8,7,6,4] => [7,3,1,2,5,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,7,5,6,2,3,1,4] => [3,6,2,1,7,5,8,4] => [8,3,1,2,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,7,2,3,1,4] => [3,7,2,1,8,5,6,4] => [8,3,1,2,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,2,3,1,4] => [3,8,2,1,6,7,5,4] => [6,3,1,2,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,7,5,8,2,3,1,4] => [3,8,2,1,7,6,5,4] => [6,3,1,2,7,8,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[7,5,6,8,2,3,1,4] => [3,8,2,1,7,5,6,4] => [7,3,1,2,8,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,7,8,2,3,1,4] => [3,8,2,1,5,6,7,4] => [5,3,1,2,6,7,8,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,6,5,3,1,2,4] => [3,1,5,2,6,7,8,4] => [8,1,3,2,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,3,1,2,4] => [3,1,5,2,8,7,6,4] => [7,1,3,2,5,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,8,5,3,1,2,4] => [3,1,5,2,8,6,7,4] => [6,1,3,2,5,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,6,3,1,2,4] => [3,1,6,2,7,5,8,4] => [8,1,3,2,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,3,1,2,4] => [3,1,6,2,8,5,7,4] => [7,1,3,2,6,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,5,8,3,1,2,4] => [3,1,8,2,7,6,5,4] => [6,1,3,2,7,8,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[7,5,6,8,3,1,2,4] => [3,1,8,2,7,5,6,4] => [7,1,3,2,8,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,7,8,3,1,2,4] => [3,1,8,2,5,6,7,4] => [5,1,3,2,6,7,8,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,4] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,2,1,3,4] => [2,5,1,3,6,8,7,4] => [7,2,1,3,5,6,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,5,2,1,3,4] => [2,5,1,3,7,8,6,4] => [8,2,1,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,7,2,1,3,4] => [2,7,1,3,6,8,5,4] => [7,2,1,3,8,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,5,8,2,1,3,4] => [2,8,1,3,7,6,5,4] => [6,2,1,3,7,8,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,5,7,8,2,1,3,4] => [2,8,1,3,6,5,7,4] => [6,2,1,3,7,4,8,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,7,8,2,1,3,4] => [2,8,1,3,5,6,7,4] => [5,2,1,3,6,7,8,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,4] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,1,2,3,4] => [5,1,2,3,6,8,7,4] => [7,1,2,3,5,6,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,5,1,2,3,4] => [5,1,2,3,7,8,6,4] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,1,2,3,4] => [5,1,2,3,8,7,6,4] => [7,1,2,3,5,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,8,5,1,2,3,4] => [5,1,2,3,8,6,7,4] => [6,1,2,3,5,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,6,1,2,3,4] => [6,1,2,3,7,5,8,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,1,2,3,4] => [6,1,2,3,8,5,7,4] => [7,1,2,3,6,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,5,7,1,2,3,4] => [7,1,2,3,6,8,5,4] => [7,1,2,3,8,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,5,6,7,1,2,3,4] => [7,1,2,3,8,5,6,4] => [8,1,2,3,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,1,2,3,4] => [8,1,2,3,6,7,5,4] => [6,1,2,3,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,7,5,8,1,2,3,4] => [8,1,2,3,7,6,5,4] => [6,1,2,3,7,8,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[7,5,6,8,1,2,3,4] => [8,1,2,3,7,5,6,4] => [7,1,2,3,8,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,7,8,1,2,3,4] => [8,1,2,3,6,5,7,4] => [6,1,2,3,7,4,8,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,7,8,1,2,3,4] => [8,1,2,3,5,6,7,4] => [5,1,2,3,6,7,8,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,5] => [8,2,3,4,1,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,4,3,2,1,5] => [2,3,4,6,1,8,7,5] => [7,2,3,4,1,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,4,3,2,1,5] => [2,3,4,7,1,8,6,5] => [8,2,3,4,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,4,3,2,1,5] => [2,3,4,8,1,7,6,5] => [7,2,3,4,1,8,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,8,4,3,2,1,5] => [2,3,4,8,1,6,7,5] => [6,2,3,4,1,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,6,3,4,2,1,5] => [2,4,6,3,1,7,8,5] => [8,2,4,1,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,3,4,2,1,5] => [2,4,6,3,1,8,7,5] => [7,2,4,1,3,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,3,4,2,1,5] => [2,4,7,3,1,8,6,5] => [8,2,4,1,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,4,2,1,5] => [2,4,8,3,1,6,7,5] => [6,2,4,1,3,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,7,8,4,2,3,1,5] => [3,4,2,8,1,6,7,5] => [6,3,1,4,2,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[7,6,8,3,2,4,1,5] => [4,3,8,2,1,7,6,5] => [4,7,3,1,2,8,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,7,8,3,2,4,1,5] => [4,3,8,2,1,6,7,5] => [4,6,3,1,2,7,8,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[8,6,7,2,3,4,1,5] => [4,7,2,3,1,8,6,5] => [8,4,1,2,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,3,4,1,5] => [4,8,2,3,1,6,7,5] => [6,4,1,2,3,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,6,4,3,1,2,5] => [3,1,4,6,2,7,8,5] => [8,1,3,4,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,4,3,1,2,5] => [3,1,4,6,2,8,7,5] => [7,1,3,4,2,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,8,4,3,1,2,5] => [3,1,4,8,2,6,7,5] => [6,1,3,4,2,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,6,3,4,1,2,5] => [4,1,6,3,2,7,8,5] => [8,1,4,2,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,3,4,1,2,5] => [4,1,7,3,2,8,6,5] => [8,1,4,2,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,4,1,2,5] => [4,1,8,3,2,6,7,5] => [6,1,4,2,3,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,6,7,4,2,1,3,5] => [2,4,1,7,3,8,6,5] => [8,2,1,4,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,2,1,3,5] => [2,4,1,8,3,6,7,5] => [6,2,1,4,3,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,6,4,1,2,3,5] => [4,1,2,6,3,7,8,5] => [8,1,2,4,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,1,2,3,5] => [4,1,2,8,3,6,7,5] => [6,1,2,4,3,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,7,8,3,2,1,4,5] => [2,3,8,1,4,6,7,5] => [6,2,3,1,4,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,6,2,3,1,4,5] => [3,6,2,1,4,7,8,5] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,2,3,1,4,5] => [3,6,2,1,4,8,7,5] => [7,3,1,2,4,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,2,3,1,4,5] => [3,7,2,1,4,8,6,5] => [8,3,1,2,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,3,1,4,5] => [3,8,2,1,4,6,7,5] => [6,3,1,2,4,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,6,3,1,2,4,5] => [3,1,6,2,4,7,8,5] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,3,1,2,4,5] => [3,1,6,2,4,8,7,5] => [7,1,3,2,4,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,6,8,3,1,2,4,5] => [3,1,8,2,4,7,6,5] => [7,1,3,2,4,8,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,7,6,2,1,3,4,5] => [2,6,1,3,4,7,8,5] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,2,1,3,4,5] => [2,7,1,3,4,8,6,5] => [8,2,1,3,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,1,3,4,5] => [2,8,1,3,4,6,7,5] => [6,2,1,3,4,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,5] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,1,2,3,4,5] => [6,1,2,3,4,8,7,5] => [7,1,2,3,4,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,7,1,2,3,4,5] => [7,1,2,3,4,8,6,5] => [8,1,2,3,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,1,2,3,4,5] => [8,1,2,3,4,7,6,5] => [7,1,2,3,4,8,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,8,1,2,3,4,5] => [8,1,2,3,4,6,7,5] => [6,1,2,3,4,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,6] => [8,2,3,4,5,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,4,3,2,1,6] => [2,3,4,5,8,1,7,6] => [7,2,3,4,5,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,5,3,4,2,1,6] => [2,4,5,3,7,1,8,6] => [8,2,4,1,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,3,5,2,1,6] => [2,5,4,7,3,1,8,6] => [5,2,8,4,1,3,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,8,4,3,5,2,1,6] => [2,5,4,8,3,1,7,6] => [5,2,7,4,1,3,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[8,7,4,5,2,3,1,6] => [3,5,2,7,4,1,8,6] => [8,3,1,5,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,3,2,4,1,6] => [4,3,5,2,7,1,8,6] => [4,8,3,1,5,2,7,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,5,3,2,4,1,6] => [4,3,5,2,8,1,7,6] => [4,7,3,1,5,2,8,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[8,7,5,2,3,4,1,6] => [4,5,2,3,7,1,8,6] => [8,4,1,2,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,4,2,5,1,6] => [5,4,8,3,2,1,7,6] => [5,7,4,1,2,3,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[8,7,4,2,3,5,1,6] => [5,4,2,7,3,1,8,6] => [5,8,1,4,2,3,7,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,8,4,2,3,5,1,6] => [5,4,2,8,3,1,7,6] => [5,7,1,4,2,3,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[8,7,3,2,4,5,1,6] => [5,3,7,2,4,1,8,6] => [5,8,3,1,2,4,7,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,8,3,2,4,5,1,6] => [5,3,8,2,4,1,7,6] => [5,7,3,1,2,4,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[8,7,5,3,4,1,2,6] => [4,1,5,3,7,2,8,6] => [8,1,4,2,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,3,4,1,2,6] => [4,1,5,3,8,2,7,6] => [7,1,4,2,5,3,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,4,3,5,1,2,6] => [5,1,4,7,3,2,8,6] => [5,1,8,4,2,3,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,8,4,3,5,1,2,6] => [5,1,4,8,3,2,7,6] => [5,1,7,4,2,3,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[7,8,3,4,5,1,2,6] => [5,1,8,3,4,2,7,6] => [7,1,5,2,3,4,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,4,5,2,1,3,6] => [2,5,1,8,4,3,7,6] => [7,2,1,5,3,4,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,5,4,1,2,3,6] => [4,1,2,5,7,3,8,6] => [8,1,2,4,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,5,1,2,3,6] => [5,1,2,8,4,3,7,6] => [7,1,2,5,3,4,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,5,3,2,1,4,6] => [2,3,5,1,7,4,8,6] => [8,2,3,1,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,2,3,1,4,6] => [3,5,2,1,7,4,8,6] => [8,3,1,2,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,3,1,2,4,6] => [3,1,5,2,7,4,8,6] => [8,1,3,2,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,3,1,2,4,6] => [3,1,5,2,8,4,7,6] => [7,1,3,2,5,4,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,5,2,1,3,4,6] => [2,5,1,3,7,4,8,6] => [8,2,1,3,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,1,2,3,4,6] => [5,1,2,3,7,4,8,6] => [8,1,2,3,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,1,2,3,4,6] => [5,1,2,3,8,4,7,6] => [7,1,2,3,5,4,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,4,3,2,1,5,6] => [2,3,4,7,1,5,8,6] => [8,2,3,4,1,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,3,2,1,5,6] => [2,3,4,8,1,5,7,6] => [7,2,3,4,1,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,3,4,2,1,5,6] => [2,4,7,3,1,5,8,6] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,2,4,1,5,6] => [4,3,7,2,1,5,8,6] => [4,8,3,1,2,5,7,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,2,3,4,1,5,6] => [4,8,2,3,1,5,7,6] => [7,4,1,2,3,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,4,3,1,2,5,6] => [3,1,4,7,2,5,8,6] => [8,1,3,4,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,4,1,2,5,6] => [4,1,7,3,2,5,8,6] => [8,1,4,2,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,2,1,3,5,6] => [2,4,1,7,3,5,8,6] => [8,2,1,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,2,1,3,5,6] => [2,4,1,8,3,5,7,6] => [7,2,1,4,3,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,4,1,2,3,5,6] => [4,1,2,7,3,5,8,6] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,2,1,4,5,6] => [2,3,7,1,4,5,8,6] => [8,2,3,1,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,1,4,5,6] => [2,3,8,1,4,5,7,6] => [7,2,3,1,4,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,2,3,1,4,5,6] => [3,7,2,1,4,5,8,6] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,3,1,4,5,6] => [3,8,2,1,4,5,7,6] => [7,3,1,2,4,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,2,1,3,4,5,6] => [2,7,1,3,4,5,8,6] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,3,4,5,6] => [2,8,1,3,4,5,7,6] => [7,2,1,3,4,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,6] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,7,6] => [7,1,2,3,4,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,7] => [8,2,3,4,5,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,4,3,2,1,7] => [2,3,4,6,8,5,1,7] => [8,2,3,4,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,6,3,2,1,7] => [2,3,6,8,4,5,1,7] => [8,2,3,6,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,3,4,2,1,7] => [2,4,6,3,8,5,1,7] => [8,2,4,1,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,3,6,2,1,7] => [2,6,4,5,8,3,1,7] => [4,2,8,6,5,1,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,4,3,5,6,2,1,7] => [2,6,4,8,3,5,1,7] => [6,2,8,4,1,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,4,5,6,2,3,1,7] => [3,6,2,8,4,5,1,7] => [8,3,1,6,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,3,4,1,7] => [4,6,2,3,8,5,1,7] => [8,4,1,2,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,2,4,5,1,7] => [5,3,6,2,4,8,1,7] => [5,8,3,1,2,6,4,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,4,3,5,2,6,1,7] => [6,5,4,8,3,2,1,7] => [5,6,8,4,1,2,3,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[8,3,4,5,2,6,1,7] => [6,5,8,3,4,2,1,7] => [6,8,5,1,2,3,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,5,2,3,6,1,7] => [6,5,2,8,4,3,1,7] => [6,8,1,5,2,3,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,2,3,5,6,1,7] => [6,4,2,8,3,5,1,7] => [6,8,1,4,2,3,5,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,2,4,5,6,1,7] => [6,3,8,2,4,5,1,7] => [6,8,3,1,2,4,5,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,3,4,5,6,1,7] => [6,8,2,3,4,5,1,7] => [8,6,1,2,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,3,4,1,2,7] => [4,1,5,3,6,8,2,7] => [8,1,4,2,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,3,4,1,2,7] => [4,1,6,3,8,5,2,7] => [8,1,4,2,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,3,6,1,2,7] => [6,1,5,8,4,3,2,7] => [6,1,8,5,2,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,5,3,4,6,1,2,7] => [6,1,5,3,8,4,2,7] => [6,1,8,2,5,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,3,4,5,6,1,2,7] => [6,1,8,3,4,5,2,7] => [8,1,6,2,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,4,2,1,3,7] => [2,4,1,6,8,5,3,7] => [8,2,1,4,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,6,2,1,3,7] => [2,6,1,8,4,5,3,7] => [8,2,1,6,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,1,2,3,7] => [4,1,2,5,6,8,3,7] => [8,1,2,4,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,4,1,2,3,7] => [4,1,2,6,8,5,3,7] => [8,1,2,4,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,6,1,2,3,7] => [6,1,2,8,4,5,3,7] => [8,1,2,6,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,3,2,1,4,7] => [2,3,5,1,6,8,4,7] => [8,2,3,1,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,3,1,4,7] => [3,6,2,1,8,5,4,7] => [8,3,1,2,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,3,1,2,4,7] => [3,1,5,2,6,8,4,7] => [8,1,3,2,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,2,1,3,4,7] => [2,5,1,3,6,8,4,7] => [8,2,1,3,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,1,3,4,7] => [2,6,1,3,8,5,4,7] => [8,2,1,3,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,1,2,3,4,7] => [5,1,2,3,6,8,4,7] => [8,1,2,3,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,1,2,3,4,7] => [6,1,2,3,8,5,4,7] => [8,1,2,3,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,4,2,1,5,7] => [2,4,6,3,1,8,5,7] => [8,2,4,1,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,2,4,1,5,7] => [4,3,6,2,1,8,5,7] => [4,8,3,1,2,6,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,4,3,1,2,5,7] => [3,1,4,6,2,8,5,7] => [8,1,3,4,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,2,1,3,5,7] => [2,4,1,6,3,8,5,7] => [8,2,1,4,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,1,2,3,5,7] => [4,1,2,6,3,8,5,7] => [8,1,2,4,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,2,1,4,5,7] => [2,3,6,1,4,8,5,7] => [8,2,3,1,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,3,1,4,5,7] => [3,6,2,1,4,8,5,7] => [8,3,1,2,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,7] => [8,1,2,3,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,7] => [8,2,3,4,5,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,5,2,1,6,7] => [2,5,4,8,3,1,6,7] => [5,2,8,4,1,3,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,4,5,2,3,1,6,7] => [3,5,2,8,4,1,6,7] => [8,3,1,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,3,4,1,6,7] => [4,5,2,3,8,1,6,7] => [8,4,1,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,3,5,1,6,7] => [5,4,2,8,3,1,6,7] => [5,8,1,4,2,3,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,3,2,4,5,1,6,7] => [5,3,8,2,4,1,6,7] => [5,8,3,1,2,4,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,2,3,4,5,1,6,7] => [5,8,2,3,4,1,6,7] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,3,1,2,6,7] => [3,1,4,5,8,2,6,7] => [8,1,3,4,5,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,4,1,2,6,7] => [4,1,5,3,8,2,6,7] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,5,1,2,6,7] => [5,1,4,8,3,2,6,7] => [5,1,8,4,2,3,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,3,4,5,1,2,6,7] => [5,1,8,3,4,2,6,7] => [8,1,5,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,2,3,6,7] => [4,1,2,5,8,3,6,7] => [8,1,2,4,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,1,2,3,6,7] => [5,1,2,8,4,3,6,7] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,3,1,4,6,7] => [3,5,2,1,8,4,6,7] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,1,2,4,6,7] => [3,1,5,2,8,4,6,7] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,2,3,4,6,7] => [5,1,2,3,8,4,6,7] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,2,1,5,6,7] => [2,3,4,8,1,5,6,7] => [8,2,3,4,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,2,1,5,6,7] => [2,4,8,3,1,5,6,7] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,1,5,6,7] => [4,8,2,3,1,5,6,7] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,2,5,6,7] => [4,1,8,3,2,5,6,7] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,7] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,1,4,5,6,7] => [2,3,8,1,4,5,6,7] => [8,2,3,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,1,4,5,6,7] => [3,8,2,1,4,5,6,7] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,2,4,5,6,7] => [3,1,8,2,4,5,6,7] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,7,5,4,3,2,1,8] => [2,3,4,5,7,6,1,8] => [6,2,3,4,5,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[5,6,7,4,3,2,1,8] => [2,3,4,7,5,6,1,8] => [5,2,3,4,6,7,1,8] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[7,5,4,6,3,2,1,8] => [2,3,6,5,7,4,1,8] => [6,2,3,7,5,1,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[6,5,4,7,3,2,1,8] => [2,3,7,5,6,4,1,8] => [5,2,3,7,6,1,4,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[7,5,6,3,4,2,1,8] => [2,4,6,3,7,5,1,8] => [7,2,4,1,6,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,4,3,5,2,1,8] => [2,5,4,6,3,7,1,8] => [5,2,7,4,1,6,3,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[6,7,4,3,5,2,1,8] => [2,5,4,7,3,6,1,8] => [5,2,6,4,1,7,3,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[7,6,3,4,5,2,1,8] => [2,5,6,3,4,7,1,8] => [7,2,5,1,3,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,4,3,6,2,1,8] => [2,6,4,5,7,3,1,8] => [4,2,7,6,5,1,3,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[5,4,6,3,7,2,1,8] => [2,7,6,5,4,3,1,8] => [5,2,6,7,1,3,4,8] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[6,5,3,4,7,2,1,8] => [2,7,5,3,6,4,1,8] => [5,2,7,1,6,3,4,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[5,6,3,4,7,2,1,8] => [2,7,6,3,5,4,1,8] => [5,2,6,1,7,3,4,8] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[6,3,4,5,7,2,1,8] => [2,7,6,3,4,5,1,8] => [6,2,7,1,3,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[3,4,5,6,7,2,1,8] => [2,7,3,4,5,6,1,8] => [3,2,4,5,6,7,1,8] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[7,6,5,4,2,3,1,8] => [3,4,2,5,6,7,1,8] => [7,3,1,4,5,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,6,4,2,3,1,8] => [3,4,2,6,7,5,1,8] => [7,3,1,4,6,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,4,5,2,3,1,8] => [3,5,2,6,4,7,1,8] => [7,3,1,5,2,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,6,4,7,2,3,1,8] => [3,7,2,6,5,4,1,8] => [5,3,1,6,7,2,4,8] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[5,4,6,7,2,3,1,8] => [3,7,2,5,4,6,1,8] => [5,3,1,6,2,7,4,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[6,5,7,3,2,4,1,8] => [4,3,7,2,6,5,1,8] => [4,6,3,1,7,2,5,8] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[7,6,5,2,3,4,1,8] => [4,5,2,3,6,7,1,8] => [7,4,1,2,5,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,7,5,2,3,4,1,8] => [4,5,2,3,7,6,1,8] => [6,4,1,2,5,7,3,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[6,5,7,2,3,4,1,8] => [4,7,2,3,6,5,1,8] => [6,4,1,2,7,3,5,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[5,6,7,2,3,4,1,8] => [4,7,2,3,5,6,1,8] => [5,4,1,2,6,7,3,8] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[6,7,4,3,2,5,1,8] => [5,3,4,7,2,6,1,8] => [3,6,5,4,1,7,2,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[7,6,4,2,3,5,1,8] => [5,4,2,6,3,7,1,8] => [5,7,1,4,2,6,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[6,7,4,2,3,5,1,8] => [5,4,2,7,3,6,1,8] => [5,6,1,4,2,7,3,8] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[7,6,3,2,4,5,1,8] => [5,3,6,2,4,7,1,8] => [5,7,3,1,2,6,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[6,7,3,2,4,5,1,8] => [5,3,7,2,4,6,1,8] => [5,6,3,1,2,7,4,8] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[7,4,3,5,2,6,1,8] => [6,5,4,7,3,2,1,8] => [5,6,7,4,1,2,3,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[7,5,3,2,4,6,1,8] => [6,3,5,2,7,4,1,8] => [3,7,6,1,5,2,4,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,4,2,3,5,6,1,8] => [6,4,2,7,3,5,1,8] => [6,7,1,4,2,3,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[7,3,2,4,5,6,1,8] => [6,3,7,2,4,5,1,8] => [6,7,3,1,2,4,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[7,2,3,4,5,6,1,8] => [6,7,2,3,4,5,1,8] => [7,6,1,2,3,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,6,3,4,2,7,1,8] => [7,4,6,3,5,2,1,8] => [4,6,5,1,7,2,3,8] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[6,3,4,5,2,7,1,8] => [7,5,6,3,4,2,1,8] => [5,7,6,1,2,3,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[5,3,4,6,2,7,1,8] => [7,6,5,3,4,2,1,8] => [5,6,7,1,2,3,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[4,3,5,6,2,7,1,8] => [7,6,4,3,5,2,1,8] => [4,5,6,1,7,2,3,8] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[6,4,5,2,3,7,1,8] => [7,5,2,6,4,3,1,8] => [5,7,1,6,2,3,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[5,4,6,2,3,7,1,8] => [7,6,2,5,4,3,1,8] => [5,6,1,7,2,3,4,8] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[4,5,6,2,3,7,1,8] => [7,6,2,4,5,3,1,8] => [4,5,1,6,7,2,3,8] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[6,5,3,2,4,7,1,8] => [7,3,5,2,6,4,1,8] => [3,7,5,1,6,2,4,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,6,3,2,4,7,1,8] => [7,3,6,2,5,4,1,8] => [3,6,5,1,7,2,4,8] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[5,6,2,3,4,7,1,8] => [7,6,2,3,5,4,1,8] => [5,6,1,2,7,3,4,8] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[6,4,2,3,5,7,1,8] => [7,4,2,6,3,5,1,8] => [4,7,1,6,2,3,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[6,2,3,4,5,7,1,8] => [7,6,2,3,4,5,1,8] => [6,7,1,2,3,4,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[4,5,3,2,6,7,1,8] => [7,3,5,4,2,6,1,8] => [3,5,4,6,1,7,2,8] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[5,3,4,2,6,7,1,8] => [7,4,5,3,2,6,1,8] => [4,6,5,1,2,7,3,8] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[4,3,5,2,6,7,1,8] => [7,5,4,3,2,6,1,8] => [4,5,6,1,2,7,3,8] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[3,4,5,2,6,7,1,8] => [7,5,3,4,2,6,1,8] => [3,4,5,6,1,7,2,8] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[5,4,2,3,6,7,1,8] => [7,4,2,5,3,6,1,8] => [4,6,1,5,2,7,3,8] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[5,3,2,4,6,7,1,8] => [7,3,5,2,4,6,1,8] => [3,6,5,1,2,7,4,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[4,2,3,5,6,7,1,8] => [7,4,2,3,5,6,1,8] => [4,5,1,2,6,7,3,8] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,2,8] => [7,1,3,4,5,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,5,7,4,3,1,2,8] => [3,1,4,7,6,5,2,8] => [6,1,3,4,7,2,5,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[5,6,7,4,3,1,2,8] => [3,1,4,7,5,6,2,8] => [5,1,3,4,6,7,2,8] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[4,5,6,7,3,1,2,8] => [3,1,7,4,5,6,2,8] => [4,1,3,5,6,7,2,8] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[7,5,6,3,4,1,2,8] => [4,1,6,3,7,5,2,8] => [7,1,4,2,6,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,7,4,3,5,1,2,8] => [5,1,4,7,3,6,2,8] => [5,1,6,4,2,7,3,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[7,4,5,3,6,1,2,8] => [6,1,5,7,4,3,2,8] => [6,1,7,5,2,3,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[6,5,3,4,7,1,2,8] => [7,1,5,3,6,4,2,8] => [5,1,7,2,6,3,4,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[5,6,3,4,7,1,2,8] => [7,1,6,3,5,4,2,8] => [5,1,6,2,7,3,4,8] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[3,4,5,6,7,1,2,8] => [7,1,3,4,5,6,2,8] => [3,1,4,5,6,7,2,8] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[7,6,5,4,2,1,3,8] => [2,4,1,5,6,7,3,8] => [7,2,1,4,5,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,4,6,2,1,3,8] => [2,6,1,5,7,4,3,8] => [6,2,1,7,5,3,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[6,5,4,7,2,1,3,8] => [2,7,1,5,6,4,3,8] => [5,2,1,7,6,3,4,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[7,6,5,4,1,2,3,8] => [4,1,2,5,6,7,3,8] => [7,1,2,4,5,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,6,4,7,1,2,3,8] => [7,1,2,6,5,4,3,8] => [5,1,2,6,7,3,4,8] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[6,4,5,7,1,2,3,8] => [7,1,2,6,4,5,3,8] => [6,1,2,7,3,4,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[5,4,6,7,1,2,3,8] => [7,1,2,5,4,6,3,8] => [5,1,2,6,3,7,4,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[4,5,6,7,1,2,3,8] => [7,1,2,4,5,6,3,8] => [4,1,2,5,6,7,3,8] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[7,5,6,2,3,1,4,8] => [3,6,2,1,7,5,4,8] => [7,3,1,2,6,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,5,1,2,3,4,8] => [5,1,2,3,6,7,4,8] => [7,1,2,3,5,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,7,5,1,2,3,4,8] => [5,1,2,3,7,6,4,8] => [6,1,2,3,5,7,4,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[7,5,6,1,2,3,4,8] => [6,1,2,3,7,5,4,8] => [7,1,2,3,6,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,6,7,1,2,3,4,8] => [7,1,2,3,5,6,4,8] => [5,1,2,3,6,7,4,8] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[7,6,4,3,2,1,5,8] => [2,3,4,6,1,7,5,8] => [7,2,3,4,1,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,4,2,3,1,5,8] => [3,4,2,6,1,7,5,8] => [7,3,1,4,2,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,3,2,4,1,5,8] => [4,3,6,2,1,7,5,8] => [4,7,3,1,2,6,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[6,7,3,2,4,1,5,8] => [4,3,7,2,1,6,5,8] => [4,6,3,1,2,7,5,8] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[7,6,4,2,1,3,5,8] => [2,4,1,6,3,7,5,8] => [7,2,1,4,3,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,3,2,1,4,5,8] => [2,3,6,1,4,7,5,8] => [7,2,3,1,4,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,2,3,1,4,5,8] => [3,6,2,1,4,7,5,8] => [7,3,1,2,4,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,1,2,3,4,5,8] => [6,1,2,3,4,7,5,8] => [7,1,2,3,4,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,7,1,2,3,4,5,8] => [7,1,2,3,4,6,5,8] => [6,1,2,3,4,7,5,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[7,5,4,3,2,1,6,8] => [2,3,4,5,7,1,6,8] => [7,2,3,4,5,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,4,5,2,3,1,6,8] => [3,5,2,7,4,1,6,8] => [7,3,1,5,2,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,4,3,2,5,1,6,8] => [5,3,4,7,2,1,6,8] => [3,7,5,4,1,2,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,4,2,3,5,1,6,8] => [5,4,2,7,3,1,6,8] => [5,7,1,4,2,3,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,3,2,4,5,1,6,8] => [5,3,7,2,4,1,6,8] => [5,7,3,1,2,4,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,2,3,4,5,1,6,8] => [5,7,2,3,4,1,6,8] => [7,5,1,2,3,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,2,3,1,4,6,8] => [3,5,2,1,7,4,6,8] => [7,3,1,2,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,6,8] => [7,1,3,2,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,2,1,3,4,6,8] => [2,5,1,3,7,4,6,8] => [7,2,1,3,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,1,2,3,4,6,8] => [5,1,2,3,7,4,6,8] => [7,1,2,3,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,4,3,2,1,5,6,8] => [2,3,4,7,1,5,6,8] => [7,2,3,4,1,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,3,4,1,2,5,6,8] => [4,1,7,3,2,5,6,8] => [7,1,4,2,3,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,4,1,2,3,5,6,8] => [4,1,2,7,3,5,6,8] => [7,1,2,4,3,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,3,2,1,4,5,6,8] => [2,3,7,1,4,5,6,8] => [7,2,3,1,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,3,1,2,4,5,6,8] => [3,1,7,2,4,5,6,8] => [7,1,3,2,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8] => [7,2,1,3,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,6,4,3,2,1,7,8] => [2,3,4,6,5,1,7,8] => [5,2,3,4,6,1,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[5,4,6,3,2,1,7,8] => [2,3,6,5,4,1,7,8] => [5,2,3,6,1,4,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[4,5,6,3,2,1,7,8] => [2,3,6,4,5,1,7,8] => [4,2,3,5,6,1,7,8] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[5,4,3,6,2,1,7,8] => [2,6,4,5,3,1,7,8] => [4,2,6,5,1,3,7,8] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[3,4,5,6,2,1,7,8] => [2,6,3,4,5,1,7,8] => [3,2,4,5,6,1,7,8] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[5,4,6,2,3,1,7,8] => [3,6,2,5,4,1,7,8] => [5,3,1,6,2,4,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[6,5,3,2,4,1,7,8] => [4,3,5,2,6,1,7,8] => [4,6,3,1,5,2,7,8] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[6,4,2,3,5,1,7,8] => [5,4,2,6,3,1,7,8] => [5,6,1,4,2,3,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[6,2,3,4,5,1,7,8] => [5,6,2,3,4,1,7,8] => [6,5,1,2,3,4,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,4,3,2,6,1,7,8] => [6,3,4,5,2,1,7,8] => [3,6,4,5,1,2,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8] => [4,5,6,1,2,3,7,8] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8] => [3,4,5,6,1,2,7,8] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[3,4,2,5,6,1,7,8] => [6,4,3,2,5,1,7,8] => [3,4,5,1,6,2,7,8] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8] => [2,3,4,5,6,1,7,8] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[5,6,4,3,1,2,7,8] => [3,1,4,6,5,2,7,8] => [5,1,3,4,6,2,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[5,4,6,3,1,2,7,8] => [3,1,6,5,4,2,7,8] => [5,1,3,6,2,4,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[6,3,4,5,1,2,7,8] => [5,1,6,3,4,2,7,8] => [6,1,5,2,3,4,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,4,3,6,1,2,7,8] => [6,1,4,5,3,2,7,8] => [4,1,6,5,2,3,7,8] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[6,5,4,2,1,3,7,8] => [2,4,1,5,6,3,7,8] => [6,2,1,4,5,3,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,4,6,2,1,3,7,8] => [2,6,1,5,4,3,7,8] => [5,2,1,6,3,4,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[4,5,6,2,1,3,7,8] => [2,6,1,4,5,3,7,8] => [4,2,1,5,6,3,7,8] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[6,5,4,1,2,3,7,8] => [4,1,2,5,6,3,7,8] => [6,1,2,4,5,3,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,4,6,1,2,3,7,8] => [6,1,2,5,4,3,7,8] => [5,1,2,6,3,4,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[4,5,6,1,2,3,7,8] => [6,1,2,4,5,3,7,8] => [4,1,2,5,6,3,7,8] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[6,5,3,2,1,4,7,8] => [2,3,5,1,6,4,7,8] => [6,2,3,1,5,4,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,5,1,2,3,4,7,8] => [5,1,2,3,6,4,7,8] => [6,1,2,3,5,4,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,6,1,2,3,4,7,8] => [6,1,2,3,5,4,7,8] => [5,1,2,3,6,4,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[6,2,3,4,1,5,7,8] => [4,6,2,3,1,5,7,8] => [6,4,1,2,3,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,3,4,1,2,5,7,8] => [4,1,6,3,2,5,7,8] => [6,1,4,2,3,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,4,2,1,3,5,7,8] => [2,4,1,6,3,5,7,8] => [6,2,1,4,3,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,4,1,2,3,5,7,8] => [4,1,2,6,3,5,7,8] => [6,1,2,4,3,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,3,2,1,4,5,7,8] => [2,3,6,1,4,5,7,8] => [6,2,3,1,4,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8] => [6,2,1,3,4,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[4,5,3,2,1,6,7,8] => [2,3,5,4,1,6,7,8] => [4,2,3,5,1,6,7,8] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[5,3,4,2,1,6,7,8] => [2,4,5,3,1,6,7,8] => [5,2,4,1,3,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[4,3,5,2,1,6,7,8] => [2,5,4,3,1,6,7,8] => [4,2,5,1,3,6,7,8] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[3,4,5,2,1,6,7,8] => [2,5,3,4,1,6,7,8] => [3,2,4,5,1,6,7,8] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[5,4,2,3,1,6,7,8] => [3,4,2,5,1,6,7,8] => [5,3,1,4,2,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[5,2,3,4,1,6,7,8] => [4,5,2,3,1,6,7,8] => [5,4,1,2,3,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[4,3,2,5,1,6,7,8] => [5,3,4,2,1,6,7,8] => [3,5,4,1,2,6,7,8] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [3,4,5,1,2,6,7,8] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[4,2,3,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => [4,5,1,2,3,6,7,8] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8] => [3,4,1,5,2,6,7,8] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8] => [2,3,4,5,1,6,7,8] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[5,4,3,1,2,6,7,8] => [3,1,4,5,2,6,7,8] => [5,1,3,4,2,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[3,4,5,1,2,6,7,8] => [5,1,3,4,2,6,7,8] => [3,1,4,5,2,6,7,8] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[5,4,2,1,3,6,7,8] => [2,4,1,5,3,6,7,8] => [5,2,1,4,3,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[4,5,2,1,3,6,7,8] => [2,5,1,4,3,6,7,8] => [4,2,1,5,3,6,7,8] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[5,4,1,2,3,6,7,8] => [4,1,2,5,3,6,7,8] => [5,1,2,4,3,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[4,5,1,2,3,6,7,8] => [5,1,2,4,3,6,7,8] => [4,1,2,5,3,6,7,8] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[5,3,2,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => [5,2,3,1,4,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[5,2,3,1,4,6,7,8] => [3,5,2,1,4,6,7,8] => [5,3,1,2,4,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[5,3,1,2,4,6,7,8] => [3,1,5,2,4,6,7,8] => [5,1,3,2,4,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8] => [5,2,1,3,4,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[3,4,2,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[4,2,3,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => [4,3,1,2,5,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [3,4,1,2,5,6,7,8] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[4,3,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => [4,2,1,3,5,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[6,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,1] => [6,2,3,4,5,8,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,1] => [5,2,3,4,8,6,7,1] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,5,8,7,4,3,2,1] => [2,3,4,7,6,5,8,1] => [6,2,3,4,8,1,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,7,6,8,4,3,2,1] => [2,3,4,8,5,7,6,1] => [5,2,3,4,7,8,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[4,8,7,6,5,3,2,1] => [2,3,5,4,6,7,8,1] => [4,2,3,8,5,6,7,1] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,6,8,7,5,3,2,1] => [2,3,5,4,7,6,8,1] => [4,2,3,6,5,8,7,1] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[5,4,8,7,6,3,2,1] => [2,3,6,5,4,7,8,1] => [5,2,3,8,1,6,7,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,5,6,8,7,3,2,1] => [2,3,7,4,5,6,8,1] => [4,2,3,5,6,8,7,1] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[4,7,6,5,8,3,2,1] => [2,3,8,4,6,7,5,1] => [4,2,3,6,8,7,1,5] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[3,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,1] => [3,2,8,4,5,6,7,1] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,7,6,8,5,4,2,1] => [2,4,3,5,8,7,6,1] => [3,2,7,4,5,8,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[3,5,8,7,6,4,2,1] => [2,4,3,6,5,7,8,1] => [3,2,5,4,8,6,7,1] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[3,5,7,8,6,4,2,1] => [2,4,3,6,5,8,7,1] => [3,2,5,4,7,6,8,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[3,6,5,8,7,4,2,1] => [2,4,3,7,6,5,8,1] => [3,2,6,4,8,1,7,5] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[3,5,6,8,7,4,2,1] => [2,4,3,7,5,6,8,1] => [3,2,5,4,6,8,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[3,7,6,5,8,4,2,1] => [2,4,3,8,6,7,5,1] => [3,2,6,4,8,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[3,6,7,5,8,4,2,1] => [2,4,3,8,7,6,5,1] => [3,2,6,4,7,8,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[3,5,7,6,8,4,2,1] => [2,4,3,8,5,7,6,1] => [3,2,5,4,7,8,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[3,5,6,7,8,4,2,1] => [2,4,3,8,5,6,7,1] => [3,2,5,4,6,7,8,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[4,3,8,7,6,5,2,1] => [2,5,4,3,6,7,8,1] => [4,2,8,1,5,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,3,7,8,6,5,2,1] => [2,5,4,3,6,8,7,1] => [4,2,7,1,5,6,8,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[4,3,6,8,7,5,2,1] => [2,5,4,3,7,6,8,1] => [4,2,6,1,5,8,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[4,3,7,6,8,5,2,1] => [2,5,4,3,8,7,6,1] => [4,2,7,1,5,8,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[4,3,6,7,8,5,2,1] => [2,5,4,3,8,6,7,1] => [4,2,6,1,5,7,8,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[3,4,8,7,6,5,2,1] => [2,5,3,4,6,7,8,1] => [3,2,4,8,5,6,7,1] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[3,4,7,8,6,5,2,1] => [2,5,3,4,6,8,7,1] => [3,2,4,7,5,6,8,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[3,4,6,8,7,5,2,1] => [2,5,3,4,7,6,8,1] => [3,2,4,6,5,8,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[3,4,7,6,8,5,2,1] => [2,5,3,4,8,7,6,1] => [3,2,4,7,5,8,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[5,4,3,8,7,6,2,1] => [2,6,4,5,3,7,8,1] => [4,2,8,5,1,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,5,3,8,7,6,2,1] => [2,6,5,4,3,7,8,1] => [4,2,5,8,1,6,7,3] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[4,5,3,7,8,6,2,1] => [2,6,5,4,3,8,7,1] => [4,2,5,7,1,6,8,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[3,5,4,8,7,6,2,1] => [2,6,3,5,4,7,8,1] => [3,2,5,8,1,6,7,4] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[3,5,4,7,8,6,2,1] => [2,6,3,5,4,8,7,1] => [3,2,5,7,1,6,8,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[4,3,5,8,7,6,2,1] => [2,6,4,3,5,7,8,1] => [4,2,5,1,8,6,7,3] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[3,4,5,8,7,6,2,1] => [2,6,3,4,5,7,8,1] => [3,2,4,5,8,6,7,1] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[3,4,5,7,8,6,2,1] => [2,6,3,4,5,8,7,1] => [3,2,4,5,7,6,8,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[5,6,4,3,8,7,2,1] => [2,7,4,6,5,3,8,1] => [4,2,6,5,8,1,7,3] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[5,4,6,3,8,7,2,1] => [2,7,6,5,4,3,8,1] => [5,2,6,8,1,3,7,4] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[4,5,6,3,8,7,2,1] => [2,7,6,4,5,3,8,1] => [4,2,5,6,8,1,7,3] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[3,6,5,4,8,7,2,1] => [2,7,3,5,6,4,8,1] => [3,2,5,8,6,1,7,4] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[4,3,6,5,8,7,2,1] => [2,7,4,3,6,5,8,1] => [4,2,6,1,8,3,7,5] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[4,5,3,6,8,7,2,1] => [2,7,5,4,3,6,8,1] => [4,2,5,6,1,8,7,3] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[3,5,4,6,8,7,2,1] => [2,7,3,5,4,6,8,1] => [3,2,5,6,1,8,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[4,3,5,6,8,7,2,1] => [2,7,4,3,5,6,8,1] => [4,2,5,1,6,8,7,3] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[4,7,6,5,3,8,2,1] => [2,8,5,4,6,7,3,1] => [4,2,5,8,6,7,1,3] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[4,6,5,7,3,8,2,1] => [2,8,7,4,6,5,3,1] => [4,2,6,7,8,1,3,5] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[3,6,7,5,4,8,2,1] => [2,8,3,5,7,6,4,1] => [3,2,5,7,6,8,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[3,6,5,7,4,8,2,1] => [2,8,3,7,6,5,4,1] => [3,2,6,7,8,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[3,5,6,7,4,8,2,1] => [2,8,3,7,5,6,4,1] => [3,2,5,6,7,8,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[4,3,7,6,5,8,2,1] => [2,8,4,3,6,7,5,1] => [4,2,6,1,8,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[4,3,6,7,5,8,2,1] => [2,8,4,3,7,6,5,1] => [4,2,6,1,7,8,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[4,5,3,7,6,8,2,1] => [2,8,5,4,3,7,6,1] => [4,2,5,7,1,8,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[3,5,4,7,6,8,2,1] => [2,8,3,5,4,7,6,1] => [3,2,5,7,1,8,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[4,3,5,7,6,8,2,1] => [2,8,4,3,5,7,6,1] => [4,2,5,1,7,8,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[3,4,5,7,6,8,2,1] => [2,8,3,4,5,7,6,1] => [3,2,4,5,7,8,1,6] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[2,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,1] => [2,8,3,4,5,6,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,8,7,5,4,3,1] => [3,2,4,5,7,6,8,1] => [2,6,3,4,5,8,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[2,6,7,8,5,4,3,1] => [3,2,4,5,8,6,7,1] => [2,6,3,4,5,7,8,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[2,5,7,8,6,4,3,1] => [3,2,4,6,5,8,7,1] => [2,5,3,4,7,6,8,1] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[2,5,6,8,7,4,3,1] => [3,2,4,7,5,6,8,1] => [2,5,3,4,6,8,7,1] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[2,7,6,5,8,4,3,1] => [3,2,4,8,6,7,5,1] => [2,6,3,4,8,7,1,5] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,6,7,5,8,4,3,1] => [3,2,4,8,7,6,5,1] => [2,6,3,4,7,8,1,5] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[2,5,6,7,8,4,3,1] => [3,2,4,8,5,6,7,1] => [2,5,3,4,6,7,8,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[2,4,8,7,6,5,3,1] => [3,2,5,4,6,7,8,1] => [2,4,3,8,5,6,7,1] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,4,7,8,6,5,3,1] => [3,2,5,4,6,8,7,1] => [2,4,3,7,5,6,8,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[2,4,6,8,7,5,3,1] => [3,2,5,4,7,6,8,1] => [2,4,3,6,5,8,7,1] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[2,4,6,7,8,5,3,1] => [3,2,5,4,8,6,7,1] => [2,4,3,6,5,7,8,1] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[2,5,4,7,8,6,3,1] => [3,2,6,5,4,8,7,1] => [2,5,3,7,1,6,8,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[2,6,5,4,8,7,3,1] => [3,2,7,5,6,4,8,1] => [2,5,3,8,6,1,7,4] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,4,6,5,8,7,3,1] => [3,2,7,4,6,5,8,1] => [2,4,3,6,8,1,7,5] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[2,6,7,5,4,8,3,1] => [3,2,8,5,7,6,4,1] => [2,5,3,7,6,8,1,4] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[2,6,5,7,4,8,3,1] => [3,2,8,7,6,5,4,1] => [2,6,3,7,8,1,4,5] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[2,5,4,7,6,8,3,1] => [3,2,8,5,4,7,6,1] => [2,5,3,7,1,8,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[2,6,5,4,7,8,3,1] => [3,2,8,5,6,4,7,1] => [2,5,3,7,6,1,8,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[2,4,5,6,7,8,3,1] => [3,2,8,4,5,6,7,1] => [2,4,3,5,6,7,8,1] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[3,2,8,7,6,5,4,1] => [4,3,2,5,6,7,8,1] => [3,8,1,4,5,6,7,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,8,6,5,4,1] => [4,3,2,5,6,8,7,1] => [3,7,1,4,5,6,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[3,2,5,7,8,6,4,1] => [4,3,2,6,5,8,7,1] => [3,5,1,4,7,6,8,2] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[3,2,7,6,5,8,4,1] => [4,3,2,8,6,7,5,1] => [3,6,1,4,8,7,2,5] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[3,2,6,7,5,8,4,1] => [4,3,2,8,7,6,5,1] => [3,6,1,4,7,8,2,5] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[3,2,5,7,6,8,4,1] => [4,3,2,8,5,7,6,1] => [3,5,1,4,7,8,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[3,2,5,6,7,8,4,1] => [4,3,2,8,5,6,7,1] => [3,5,1,4,6,7,8,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[2,3,8,7,6,5,4,1] => [4,2,3,5,6,7,8,1] => [2,3,8,4,5,6,7,1] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,7,8,6,5,4,1] => [4,2,3,5,6,8,7,1] => [2,3,7,4,5,6,8,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,3,5,7,8,6,4,1] => [4,2,3,6,5,8,7,1] => [2,3,5,4,7,6,8,1] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[2,3,5,6,7,8,4,1] => [4,2,3,8,5,6,7,1] => [2,3,5,4,6,7,8,1] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[4,3,2,8,7,6,5,1] => [5,3,4,2,6,7,8,1] => [3,8,4,1,5,6,7,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,6,8,7,5,1] => [5,3,4,2,7,6,8,1] => [3,6,4,1,5,8,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[4,3,2,6,7,8,5,1] => [5,3,4,2,8,6,7,1] => [3,6,4,1,5,7,8,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[3,4,2,8,7,6,5,1] => [5,4,3,2,6,7,8,1] => [3,4,8,1,5,6,7,2] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,4,2,7,8,6,5,1] => [5,4,3,2,6,8,7,1] => [3,4,7,1,5,6,8,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[3,4,2,6,8,7,5,1] => [5,4,3,2,7,6,8,1] => [3,4,6,1,5,8,7,2] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[3,4,2,7,6,8,5,1] => [5,4,3,2,8,7,6,1] => [3,4,7,1,5,8,2,6] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[3,4,2,6,7,8,5,1] => [5,4,3,2,8,6,7,1] => [3,4,6,1,5,7,8,2] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[2,4,3,6,8,7,5,1] => [5,2,4,3,7,6,8,1] => [2,4,6,1,5,8,7,3] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[3,2,4,8,7,6,5,1] => [5,3,2,4,6,7,8,1] => [3,4,1,8,5,6,7,2] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[2,3,4,8,7,6,5,1] => [5,2,3,4,6,7,8,1] => [2,3,4,8,5,6,7,1] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,7,6,8,5,1] => [5,2,3,4,8,7,6,1] => [2,3,4,7,5,8,1,6] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[2,3,4,6,7,8,5,1] => [5,2,3,4,8,6,7,1] => [2,3,4,6,5,7,8,1] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[5,4,3,2,8,7,6,1] => [6,3,4,5,2,7,8,1] => [3,8,4,5,1,6,7,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,2,7,8,6,1] => [6,3,4,5,2,8,7,1] => [3,7,4,5,1,6,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[4,5,3,2,8,7,6,1] => [6,3,5,4,2,7,8,1] => [3,5,4,8,1,6,7,2] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[4,5,3,2,7,8,6,1] => [6,3,5,4,2,8,7,1] => [3,5,4,7,1,6,8,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[4,3,5,2,8,7,6,1] => [6,5,4,3,2,7,8,1] => [4,5,8,1,2,6,7,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[3,4,5,2,8,7,6,1] => [6,5,3,4,2,7,8,1] => [3,4,5,8,1,6,7,2] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[2,5,4,3,7,8,6,1] => [6,2,4,5,3,8,7,1] => [2,4,7,5,1,6,8,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[2,4,5,3,8,7,6,1] => [6,2,5,4,3,7,8,1] => [2,4,5,8,1,6,7,3] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,2,5,4,7,8,6,1] => [6,3,2,5,4,8,7,1] => [3,5,1,7,2,6,8,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[2,3,5,4,8,7,6,1] => [6,2,3,5,4,7,8,1] => [2,3,5,8,1,6,7,4] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[3,4,2,5,7,8,6,1] => [6,4,3,2,5,8,7,1] => [3,4,5,1,7,6,8,2] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[2,3,4,5,8,7,6,1] => [6,2,3,4,5,7,8,1] => [2,3,4,5,8,6,7,1] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,5,7,8,6,1] => [6,2,3,4,5,8,7,1] => [2,3,4,5,7,6,8,1] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[6,5,4,3,2,8,7,1] => [7,3,4,5,6,2,8,1] => [3,8,4,5,6,1,7,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,3,2,8,7,1] => [7,3,5,4,6,2,8,1] => [3,5,4,8,6,1,7,2] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[5,4,6,3,2,8,7,1] => [7,3,6,5,4,2,8,1] => [3,6,5,8,1,2,7,4] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,6,4,2,8,7,1] => [7,4,3,6,5,2,8,1] => [3,4,6,5,8,1,7,2] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[4,3,6,5,2,8,7,1] => [7,5,4,3,6,2,8,1] => [4,5,8,1,6,2,7,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[5,4,3,6,2,8,7,1] => [7,6,4,5,3,2,8,1] => [4,5,8,6,1,2,7,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,5,3,6,2,8,7,1] => [7,6,5,4,3,2,8,1] => [4,5,6,8,1,2,7,3] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[3,5,4,6,2,8,7,1] => [7,6,3,5,4,2,8,1] => [3,5,6,8,1,2,7,4] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[3,4,5,6,2,8,7,1] => [7,6,3,4,5,2,8,1] => [3,4,5,6,8,1,7,2] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[2,4,5,6,3,8,7,1] => [7,2,6,4,5,3,8,1] => [2,4,5,6,8,1,7,3] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[4,3,2,6,5,8,7,1] => [7,3,4,2,6,5,8,1] => [3,6,4,1,8,2,7,5] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[3,4,2,6,5,8,7,1] => [7,4,3,2,6,5,8,1] => [3,4,6,1,8,2,7,5] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[2,4,3,6,5,8,7,1] => [7,2,4,3,6,5,8,1] => [2,4,6,1,8,3,7,5] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[3,5,4,2,6,8,7,1] => [7,4,3,5,2,6,8,1] => [3,4,6,5,1,8,7,2] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[4,3,5,2,6,8,7,1] => [7,5,4,3,2,6,8,1] => [4,5,6,1,2,8,7,3] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[2,5,4,3,6,8,7,1] => [7,2,4,5,3,6,8,1] => [2,4,6,5,1,8,7,3] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[3,4,2,5,6,8,7,1] => [7,4,3,2,5,6,8,1] => [3,4,5,1,6,8,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[3,2,4,5,6,8,7,1] => [7,3,2,4,5,6,8,1] => [3,4,1,5,6,8,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[2,3,4,5,6,8,7,1] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,8,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[4,7,6,5,3,2,8,1] => [8,3,5,4,6,7,2,1] => [3,5,4,8,6,7,1,2] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[4,6,7,5,3,2,8,1] => [8,3,5,4,7,6,2,1] => [3,5,4,7,6,8,1,2] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[5,4,7,6,3,2,8,1] => [8,3,6,5,4,7,2,1] => [3,6,5,8,1,7,2,4] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[4,5,7,6,3,2,8,1] => [8,3,6,4,5,7,2,1] => [3,5,4,6,8,7,1,2] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[4,6,5,7,3,2,8,1] => [8,3,7,4,6,5,2,1] => [3,6,4,7,8,1,2,5] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[3,7,6,5,4,2,8,1] => [8,4,3,5,6,7,2,1] => [3,4,8,5,6,7,1,2] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,6,5,7,4,2,8,1] => [8,4,3,7,6,5,2,1] => [3,4,7,6,8,1,2,5] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[3,5,6,7,4,2,8,1] => [8,4,3,7,5,6,2,1] => [3,4,6,5,7,8,1,2] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[4,3,7,6,5,2,8,1] => [8,5,4,3,6,7,2,1] => [4,5,8,1,6,7,2,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,3,6,7,5,2,8,1] => [8,5,4,3,7,6,2,1] => [4,5,7,1,6,8,2,3] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[3,4,7,6,5,2,8,1] => [8,5,3,4,6,7,2,1] => [3,4,5,8,6,7,1,2] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[3,4,6,7,5,2,8,1] => [8,5,3,4,7,6,2,1] => [3,4,5,7,6,8,1,2] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[3,5,4,7,6,2,8,1] => [8,6,3,5,4,7,2,1] => [3,5,6,8,1,7,2,4] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[4,3,5,7,6,2,8,1] => [8,6,4,3,5,7,2,1] => [4,5,6,1,8,7,2,3] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[4,6,5,3,7,2,8,1] => [8,7,5,4,6,3,2,1] => [4,5,6,8,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[3,6,5,4,7,2,8,1] => [8,7,3,5,6,4,2,1] => [3,5,6,8,7,1,2,4] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[3,5,6,4,7,2,8,1] => [8,7,3,6,5,4,2,1] => [3,5,6,7,8,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[4,3,6,5,7,2,8,1] => [8,7,4,3,6,5,2,1] => [4,6,7,1,8,2,3,5] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[3,4,6,5,7,2,8,1] => [8,7,3,4,6,5,2,1] => [3,4,6,7,8,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[3,5,4,6,7,2,8,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[2,7,6,5,4,3,8,1] => [8,2,4,5,6,7,3,1] => [2,4,8,5,6,7,1,3] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,5,6,7,4,3,8,1] => [8,2,4,7,5,6,3,1] => [2,4,6,5,7,8,1,3] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[2,5,4,7,6,3,8,1] => [8,2,6,5,4,7,3,1] => [2,5,6,8,1,7,3,4] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[2,4,5,7,6,3,8,1] => [8,2,6,4,5,7,3,1] => [2,4,5,6,8,7,1,3] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[2,5,6,4,7,3,8,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[2,4,6,5,7,3,8,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[2,5,4,6,7,3,8,1] => [8,2,7,5,4,6,3,1] => [2,5,6,7,1,8,3,4] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[2,4,5,6,7,3,8,1] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[3,2,6,7,5,4,8,1] => [8,3,2,5,7,6,4,1] => [3,5,1,7,6,8,2,4] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[3,2,5,7,6,4,8,1] => [8,3,2,6,5,7,4,1] => [3,5,1,6,8,7,2,4] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[3,2,6,5,7,4,8,1] => [8,3,2,7,6,5,4,1] => [3,6,1,7,8,2,4,5] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[3,2,5,6,7,4,8,1] => [8,3,2,7,5,6,4,1] => [3,5,1,6,7,8,2,4] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[2,3,7,6,5,4,8,1] => [8,2,3,5,6,7,4,1] => [2,3,5,8,6,7,1,4] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,3,5,6,7,4,8,1] => [8,2,3,7,5,6,4,1] => [2,3,5,6,7,8,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[3,4,2,7,6,5,8,1] => [8,4,3,2,6,7,5,1] => [3,4,6,1,8,7,2,5] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[3,4,2,6,7,5,8,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[2,4,3,7,6,5,8,1] => [8,2,4,3,6,7,5,1] => [2,4,6,1,8,7,3,5] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[2,4,3,6,7,5,8,1] => [8,2,4,3,7,6,5,1] => [2,4,6,1,7,8,3,5] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[3,2,4,7,6,5,8,1] => [8,3,2,4,6,7,5,1] => [3,4,1,6,8,7,2,5] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[3,2,4,6,7,5,8,1] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[2,3,4,6,7,5,8,1] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[4,3,5,2,7,6,8,1] => [8,5,4,3,2,7,6,1] => [4,5,7,1,2,8,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[3,4,5,2,7,6,8,1] => [8,5,3,4,2,7,6,1] => [3,4,5,7,1,8,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[2,5,4,3,7,6,8,1] => [8,2,4,5,3,7,6,1] => [2,4,7,5,1,8,3,6] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[2,4,5,3,7,6,8,1] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[3,2,5,4,7,6,8,1] => [8,3,2,5,4,7,6,1] => [3,5,1,7,2,8,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[2,3,5,4,7,6,8,1] => [8,2,3,5,4,7,6,1] => [2,3,5,7,1,8,4,6] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[3,4,2,5,7,6,8,1] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[2,3,4,5,7,6,8,1] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[3,6,5,4,2,7,8,1] => [8,4,3,5,6,2,7,1] => [3,4,7,5,6,1,8,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[3,5,4,6,2,7,8,1] => [8,6,3,5,4,2,7,1] => [3,5,6,7,1,2,8,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[2,5,4,6,3,7,8,1] => [8,2,6,5,4,3,7,1] => [2,5,6,7,1,3,8,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[2,4,5,6,3,7,8,1] => [8,2,6,4,5,3,7,1] => [2,4,5,6,7,1,8,3] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[2,3,5,6,4,7,8,1] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[4,3,2,6,5,7,8,1] => [8,3,4,2,6,5,7,1] => [3,6,4,1,7,2,8,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[3,4,2,6,5,7,8,1] => [8,4,3,2,6,5,7,1] => [3,4,6,1,7,2,8,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[2,4,3,6,5,7,8,1] => [8,2,4,3,6,5,7,1] => [2,4,6,1,7,3,8,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[2,4,5,3,6,7,8,1] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[2,3,5,4,6,7,8,1] => [8,2,3,5,4,6,7,1] => [2,3,5,6,1,7,8,4] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,8,6,5,4,3,2] => [1,3,4,5,6,8,7,2] => [1,7,3,4,5,6,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,6,8,7,5,4,3,2] => [1,3,4,5,7,6,8,2] => [1,6,3,4,5,8,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,7,6,8,5,4,3,2] => [1,3,4,5,8,7,6,2] => [1,7,3,4,5,8,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,5,8,7,6,4,3,2] => [1,3,4,6,5,7,8,2] => [1,5,3,4,8,6,7,2] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,6,5,8,7,4,3,2] => [1,3,4,7,6,5,8,2] => [1,6,3,4,8,2,7,5] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,6,7,5,8,4,3,2] => [1,3,4,8,7,6,5,2] => [1,6,3,4,7,8,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,5,6,7,8,4,3,2] => [1,3,4,8,5,6,7,2] => [1,5,3,4,6,7,8,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,4,8,7,6,5,3,2] => [1,3,5,4,6,7,8,2] => [1,4,3,8,5,6,7,2] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,4,6,8,7,5,3,2] => [1,3,5,4,7,6,8,2] => [1,4,3,6,5,8,7,2] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,4,7,6,8,5,3,2] => [1,3,5,4,8,7,6,2] => [1,4,3,7,5,8,2,6] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,5,4,7,8,6,3,2] => [1,3,6,5,4,8,7,2] => [1,5,3,7,2,6,8,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,4,5,8,7,6,3,2] => [1,3,6,4,5,7,8,2] => [1,4,3,5,8,6,7,2] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,7,6,5,4,8,3,2] => [1,3,8,5,6,7,4,2] => [1,5,3,8,6,7,2,4] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,6,7,5,4,8,3,2] => [1,3,8,5,7,6,4,2] => [1,5,3,7,6,8,2,4] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,6,5,7,4,8,3,2] => [1,3,8,7,6,5,4,2] => [1,6,3,7,8,2,4,5] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,5,6,7,4,8,3,2] => [1,3,8,7,5,6,4,2] => [1,5,3,6,7,8,2,4] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,4,7,6,5,8,3,2] => [1,3,8,4,6,7,5,2] => [1,4,3,6,8,7,2,5] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,5,4,7,6,8,3,2] => [1,3,8,5,4,7,6,2] => [1,5,3,7,2,8,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,5,4,6,7,8,3,2] => [1,3,8,5,4,6,7,2] => [1,5,3,6,2,7,8,4] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,4,5,6,7,8,3,2] => [1,3,8,4,5,6,7,2] => [1,4,3,5,6,7,8,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,3,8,7,6,5,4,2] => [1,4,3,5,6,7,8,2] => [1,3,8,4,5,6,7,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,7,6,8,5,4,2] => [1,4,3,5,8,7,6,2] => [1,3,7,4,5,8,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,3,6,7,8,5,4,2] => [1,4,3,5,8,6,7,2] => [1,3,6,4,5,7,8,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,3,5,7,8,6,4,2] => [1,4,3,6,5,8,7,2] => [1,3,5,4,7,6,8,2] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,3,7,6,5,8,4,2] => [1,4,3,8,6,7,5,2] => [1,3,6,4,8,7,2,5] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,3,6,7,5,8,4,2] => [1,4,3,8,7,6,5,2] => [1,3,6,4,7,8,2,5] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,3,5,7,6,8,4,2] => [1,4,3,8,5,7,6,2] => [1,3,5,4,7,8,2,6] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,3,6,5,7,8,4,2] => [1,4,3,8,6,5,7,2] => [1,3,6,4,7,2,8,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,3,5,6,7,8,4,2] => [1,4,3,8,5,6,7,2] => [1,3,5,4,6,7,8,2] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,4,3,8,7,6,5,2] => [1,5,4,3,6,7,8,2] => [1,4,8,2,5,6,7,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,4,3,7,8,6,5,2] => [1,5,4,3,6,8,7,2] => [1,4,7,2,5,6,8,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,4,3,7,6,8,5,2] => [1,5,4,3,8,7,6,2] => [1,4,7,2,5,8,3,6] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,3,4,8,7,6,5,2] => [1,5,3,4,6,7,8,2] => [1,3,4,8,5,6,7,2] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,3,4,6,7,8,5,2] => [1,5,3,4,8,6,7,2] => [1,3,4,6,5,7,8,2] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,5,4,3,7,8,6,2] => [1,6,4,5,3,8,7,2] => [1,4,7,5,2,6,8,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,4,5,3,7,8,6,2] => [1,6,5,4,3,8,7,2] => [1,4,5,7,2,6,8,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,3,5,4,7,8,6,2] => [1,6,3,5,4,8,7,2] => [1,3,5,7,2,6,8,4] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,3,4,5,7,8,6,2] => [1,6,3,4,5,8,7,2] => [1,3,4,5,7,6,8,2] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,6,5,4,3,8,7,2] => [1,7,4,5,6,3,8,2] => [1,4,8,5,6,2,7,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,5,4,6,3,8,7,2] => [1,7,6,5,4,3,8,2] => [1,5,6,8,2,3,7,4] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,4,3,6,5,8,7,2] => [1,7,4,3,6,5,8,2] => [1,4,6,2,8,3,7,5] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,5,4,3,6,8,7,2] => [1,7,4,5,3,6,8,2] => [1,4,6,5,2,8,7,3] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,3,4,5,6,8,7,2] => [1,7,3,4,5,6,8,2] => [1,3,4,5,6,8,7,2] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,7,6,5,4,3,8,2] => [1,8,4,5,6,7,3,2] => [1,4,8,5,6,7,2,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,6,5,7,4,3,8,2] => [1,8,4,7,6,5,3,2] => [1,4,7,6,8,2,3,5] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,4,6,7,5,3,8,2] => [1,8,5,4,7,6,3,2] => [1,4,5,7,6,8,2,3] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,5,4,7,6,3,8,2] => [1,8,6,5,4,7,3,2] => [1,5,6,8,2,7,3,4] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,4,5,7,6,3,8,2] => [1,8,6,4,5,7,3,2] => [1,4,5,6,8,7,2,3] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,5,6,4,7,3,8,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,5,4,6,7,3,8,2] => [1,8,7,5,4,6,3,2] => [1,5,6,7,2,8,3,4] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,4,5,6,7,3,8,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,3,6,5,7,4,8,2] => [1,8,3,7,6,5,4,2] => [1,3,6,7,8,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,3,5,6,7,4,8,2] => [1,8,3,7,5,6,4,2] => [1,3,5,6,7,8,2,4] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,3,5,4,7,6,8,2] => [1,8,3,5,4,7,6,2] => [1,3,5,7,2,8,4,6] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,4,3,5,7,6,8,2] => [1,8,4,3,5,7,6,2] => [1,4,5,2,7,8,3,6] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,6,5,4,3,7,8,2] => [1,8,4,5,6,3,7,2] => [1,4,7,5,6,2,8,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,4,6,5,3,7,8,2] => [1,8,5,4,6,3,7,2] => [1,4,5,7,6,2,8,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,5,4,6,3,7,8,2] => [1,8,6,5,4,3,7,2] => [1,5,6,7,2,3,8,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,4,5,6,3,7,8,2] => [1,8,6,4,5,3,7,2] => [1,4,5,6,7,2,8,3] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,3,5,6,4,7,8,2] => [1,8,3,6,5,4,7,2] => [1,3,5,6,7,2,8,4] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,4,3,6,5,7,8,2] => [1,8,4,3,6,5,7,2] => [1,4,6,2,7,3,8,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,4,5,3,6,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,3,5,4,6,7,8,2] => [1,8,3,5,4,6,7,2] => [1,3,5,6,2,7,8,4] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,4,3,5,6,7,8,2] => [1,8,4,3,5,6,7,2] => [1,4,5,2,6,7,8,3] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,1,8,7,6,5,4,3] => [2,1,4,5,6,7,8,3] => [2,1,8,4,5,6,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,6,8,5,4,3] => [2,1,4,5,8,7,6,3] => [2,1,7,4,5,8,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,1,6,7,8,5,4,3] => [2,1,4,5,8,6,7,3] => [2,1,6,4,5,7,8,3] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[2,1,5,7,8,6,4,3] => [2,1,4,6,5,8,7,3] => [2,1,5,4,7,6,8,3] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[2,1,6,5,8,7,4,3] => [2,1,4,7,6,5,8,3] => [2,1,6,4,8,3,7,5] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[2,1,7,6,5,8,4,3] => [2,1,4,8,6,7,5,3] => [2,1,6,4,8,7,3,5] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[2,1,6,7,5,8,4,3] => [2,1,4,8,7,6,5,3] => [2,1,6,4,7,8,3,5] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[2,1,6,5,7,8,4,3] => [2,1,4,8,6,5,7,3] => [2,1,6,4,7,3,8,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[2,1,5,6,7,8,4,3] => [2,1,4,8,5,6,7,3] => [2,1,5,4,6,7,8,3] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[2,1,4,8,7,6,5,3] => [2,1,5,4,6,7,8,3] => [2,1,4,8,5,6,7,3] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,4,6,8,7,5,3] => [2,1,5,4,7,6,8,3] => [2,1,4,6,5,8,7,3] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,4,7,6,8,5,3] => [2,1,5,4,8,7,6,3] => [2,1,4,7,5,8,3,6] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,5,4,7,8,6,3] => [2,1,6,5,4,8,7,3] => [2,1,5,7,3,6,8,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,4,5,8,7,6,3] => [2,1,6,4,5,7,8,3] => [2,1,4,5,8,6,7,3] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[2,1,6,5,4,8,7,3] => [2,1,7,5,6,4,8,3] => [2,1,5,8,6,3,7,4] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,5,6,4,8,7,3] => [2,1,7,6,5,4,8,3] => [2,1,5,6,8,3,7,4] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[2,1,4,6,5,8,7,3] => [2,1,7,4,6,5,8,3] => [2,1,4,6,8,3,7,5] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,5,4,6,8,7,3] => [2,1,7,5,4,6,8,3] => [2,1,5,6,3,8,7,4] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[2,1,5,7,6,4,8,3] => [2,1,8,6,5,7,4,3] => [2,1,5,6,8,7,3,4] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[2,1,6,5,7,4,8,3] => [2,1,8,7,6,5,4,3] => [2,1,6,7,8,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,5,6,7,4,8,3] => [2,1,8,7,5,6,4,3] => [2,1,5,6,7,8,3,4] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,4,7,6,5,8,3] => [2,1,8,4,6,7,5,3] => [2,1,4,6,8,7,3,5] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,4,6,7,5,8,3] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,5,4,7,6,8,3] => [2,1,8,5,4,7,6,3] => [2,1,5,7,3,8,4,6] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,4,5,7,6,8,3] => [2,1,8,4,5,7,6,3] => [2,1,4,5,7,8,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,6,5,4,7,8,3] => [2,1,8,5,6,4,7,3] => [2,1,5,7,6,3,8,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,5,6,4,7,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,4,6,5,7,8,3] => [2,1,8,4,6,5,7,3] => [2,1,4,6,7,3,8,5] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,5,4,6,7,8,3] => [2,1,8,5,4,6,7,3] => [2,1,5,6,3,7,8,4] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,4,5,6,7,8,3] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,8,7,6,5,4,3] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,8,6,5,4,3] => [1,2,4,5,6,8,7,3] => [1,2,7,4,5,6,8,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,2,7,6,8,5,4,3] => [1,2,4,5,8,7,6,3] => [1,2,7,4,5,8,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,2,6,7,8,5,4,3] => [1,2,4,5,8,6,7,3] => [1,2,6,4,5,7,8,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,2,5,8,7,6,4,3] => [1,2,4,6,5,7,8,3] => [1,2,5,4,8,6,7,3] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,2,5,7,8,6,4,3] => [1,2,4,6,5,8,7,3] => [1,2,5,4,7,6,8,3] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,2,6,5,8,7,4,3] => [1,2,4,7,6,5,8,3] => [1,2,6,4,8,3,7,5] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,2,5,6,8,7,4,3] => [1,2,4,7,5,6,8,3] => [1,2,5,4,6,8,7,3] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,2,6,7,5,8,4,3] => [1,2,4,8,7,6,5,3] => [1,2,6,4,7,8,3,5] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,2,6,5,7,8,4,3] => [1,2,4,8,6,5,7,3] => [1,2,6,4,7,3,8,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,2,5,6,7,8,4,3] => [1,2,4,8,5,6,7,3] => [1,2,5,4,6,7,8,3] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,2,4,8,7,6,5,3] => [1,2,5,4,6,7,8,3] => [1,2,4,8,5,6,7,3] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,4,7,8,6,5,3] => [1,2,5,4,6,8,7,3] => [1,2,4,7,5,6,8,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,4,6,8,7,5,3] => [1,2,5,4,7,6,8,3] => [1,2,4,6,5,8,7,3] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,4,7,6,8,5,3] => [1,2,5,4,8,7,6,3] => [1,2,4,7,5,8,3,6] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,5,4,8,7,6,3] => [1,2,6,5,4,7,8,3] => [1,2,5,8,3,6,7,4] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,5,4,7,8,6,3] => [1,2,6,5,4,8,7,3] => [1,2,5,7,3,6,8,4] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,4,5,8,7,6,3] => [1,2,6,4,5,7,8,3] => [1,2,4,5,8,6,7,3] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,2,5,6,4,8,7,3] => [1,2,7,6,5,4,8,3] => [1,2,5,6,8,3,7,4] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,2,5,4,6,8,7,3] => [1,2,7,5,4,6,8,3] => [1,2,5,6,3,8,7,4] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,2,4,5,6,8,7,3] => [1,2,7,4,5,6,8,3] => [1,2,4,5,6,8,7,3] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,7,6,5,4,8,3] => [1,2,8,5,6,7,4,3] => [1,2,5,8,6,7,3,4] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,5,7,6,4,8,3] => [1,2,8,6,5,7,4,3] => [1,2,5,6,8,7,3,4] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,2,6,5,7,4,8,3] => [1,2,8,7,6,5,4,3] => [1,2,6,7,8,3,4,5] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,2,5,6,7,4,8,3] => [1,2,8,7,5,6,4,3] => [1,2,5,6,7,8,3,4] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,4,6,7,5,8,3] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,5,4,7,6,8,3] => [1,2,8,5,4,7,6,3] => [1,2,5,7,3,8,4,6] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,5,6,4,7,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,5,4,6,7,8,3] => [1,2,8,5,4,6,7,3] => [1,2,5,6,3,7,8,4] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,8,7,6,5,4] => [2,3,1,5,6,7,8,4] => [3,2,1,8,5,6,7,4] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,2,1,6,8,7,5,4] => [2,3,1,5,7,6,8,4] => [3,2,1,6,5,8,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[3,2,1,6,7,8,5,4] => [2,3,1,5,8,6,7,4] => [3,2,1,6,5,7,8,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[3,2,1,5,7,8,6,4] => [2,3,1,6,5,8,7,4] => [3,2,1,5,7,6,8,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[3,2,1,6,5,8,7,4] => [2,3,1,7,6,5,8,4] => [3,2,1,6,8,4,7,5] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[3,2,1,6,7,5,8,4] => [2,3,1,8,7,6,5,4] => [3,2,1,6,7,8,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[3,2,1,5,6,7,8,4] => [2,3,1,8,5,6,7,4] => [3,2,1,5,6,7,8,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[2,3,1,8,7,6,5,4] => [3,2,1,5,6,7,8,4] => [2,3,1,8,5,6,7,4] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,3,1,6,8,7,5,4] => [3,2,1,5,7,6,8,4] => [2,3,1,6,5,8,7,4] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[2,3,1,7,6,8,5,4] => [3,2,1,5,8,7,6,4] => [2,3,1,7,5,8,4,6] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[2,3,1,5,8,7,6,4] => [3,2,1,6,5,7,8,4] => [2,3,1,5,8,6,7,4] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[2,3,1,5,7,8,6,4] => [3,2,1,6,5,8,7,4] => [2,3,1,5,7,6,8,4] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[2,3,1,6,5,8,7,4] => [3,2,1,7,6,5,8,4] => [2,3,1,6,8,4,7,5] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,3,1,7,6,5,8,4] => [3,2,1,8,6,7,5,4] => [2,3,1,6,8,7,4,5] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,3,1,6,7,5,8,4] => [3,2,1,8,7,6,5,4] => [2,3,1,6,7,8,4,5] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[2,3,1,5,7,6,8,4] => [3,2,1,8,5,7,6,4] => [2,3,1,5,7,8,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[2,3,1,5,6,7,8,4] => [3,2,1,8,5,6,7,4] => [2,3,1,5,6,7,8,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,3,2,7,8,6,5,4] => [1,3,2,5,6,8,7,4] => [1,3,2,7,5,6,8,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,3,2,6,8,7,5,4] => [1,3,2,5,7,6,8,4] => [1,3,2,6,5,8,7,4] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,3,2,7,6,8,5,4] => [1,3,2,5,8,7,6,4] => [1,3,2,7,5,8,4,6] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,3,2,5,7,8,6,4] => [1,3,2,6,5,8,7,4] => [1,3,2,5,7,6,8,4] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,3,2,6,5,8,7,4] => [1,3,2,7,6,5,8,4] => [1,3,2,6,8,4,7,5] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,3,2,5,6,8,7,4] => [1,3,2,7,5,6,8,4] => [1,3,2,5,6,8,7,4] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,3,2,7,6,5,8,4] => [1,3,2,8,6,7,5,4] => [1,3,2,6,8,7,4,5] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,3,2,6,7,5,8,4] => [1,3,2,8,7,6,5,4] => [1,3,2,6,7,8,4,5] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,3,2,5,7,6,8,4] => [1,3,2,8,5,7,6,4] => [1,3,2,5,7,8,4,6] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,3,2,6,5,7,8,4] => [1,3,2,8,6,5,7,4] => [1,3,2,6,7,4,8,5] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[2,1,3,8,7,6,5,4] => [2,1,3,5,6,7,8,4] => [2,1,3,8,5,6,7,4] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[2,1,3,6,8,7,5,4] => [2,1,3,5,7,6,8,4] => [2,1,3,6,5,8,7,4] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[2,1,3,7,6,5,8,4] => [2,1,3,8,6,7,5,4] => [2,1,3,6,8,7,4,5] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[2,1,3,6,7,5,8,4] => [2,1,3,8,7,6,5,4] => [2,1,3,6,7,8,4,5] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,3,6,5,7,8,4] => [2,1,3,8,6,5,7,4] => [2,1,3,6,7,4,8,5] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,3,5,6,7,8,4] => [2,1,3,8,5,6,7,4] => [2,1,3,5,6,7,8,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,3,8,7,6,5,4] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,7,8,6,5,4] => [1,2,3,5,6,8,7,4] => [1,2,3,7,5,6,8,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,3,6,8,7,5,4] => [1,2,3,5,7,6,8,4] => [1,2,3,6,5,8,7,4] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,3,7,6,8,5,4] => [1,2,3,5,8,7,6,4] => [1,2,3,7,5,8,4,6] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,3,6,7,8,5,4] => [1,2,3,5,8,6,7,4] => [1,2,3,6,5,7,8,4] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,3,5,8,7,6,4] => [1,2,3,6,5,7,8,4] => [1,2,3,5,8,6,7,4] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,3,5,7,8,6,4] => [1,2,3,6,5,8,7,4] => [1,2,3,5,7,6,8,4] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,3,6,5,8,7,4] => [1,2,3,7,6,5,8,4] => [1,2,3,6,8,4,7,5] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,3,5,6,8,7,4] => [1,2,3,7,5,6,8,4] => [1,2,3,5,6,8,7,4] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,3,7,6,5,8,4] => [1,2,3,8,6,7,5,4] => [1,2,3,6,8,7,4,5] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,3,6,7,5,8,4] => [1,2,3,8,7,6,5,4] => [1,2,3,6,7,8,4,5] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,3,5,7,6,8,4] => [1,2,3,8,5,7,6,4] => [1,2,3,5,7,8,4,6] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,3,6,5,7,8,4] => [1,2,3,8,6,5,7,4] => [1,2,3,6,7,4,8,5] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => [1,2,3,5,6,7,8,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,2,1,8,7,6,5] => [2,3,4,1,6,7,8,5] => [4,2,3,1,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,3,2,1,7,8,6,5] => [2,3,4,1,6,8,7,5] => [4,2,3,1,7,6,8,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[4,3,2,1,6,8,7,5] => [2,3,4,1,7,6,8,5] => [4,2,3,1,6,8,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[4,3,2,1,7,6,8,5] => [2,3,4,1,8,7,6,5] => [4,2,3,1,7,8,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[4,3,2,1,6,7,8,5] => [2,3,4,1,8,6,7,5] => [4,2,3,1,6,7,8,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[3,4,2,1,8,7,6,5] => [2,4,3,1,6,7,8,5] => [3,2,4,1,8,6,7,5] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[3,4,2,1,7,8,6,5] => [2,4,3,1,6,8,7,5] => [3,2,4,1,7,6,8,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[3,4,2,1,6,8,7,5] => [2,4,3,1,7,6,8,5] => [3,2,4,1,6,8,7,5] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[3,4,2,1,7,6,8,5] => [2,4,3,1,8,7,6,5] => [3,2,4,1,7,8,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[3,4,2,1,6,7,8,5] => [2,4,3,1,8,6,7,5] => [3,2,4,1,6,7,8,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[2,4,3,1,8,7,6,5] => [3,2,4,1,6,7,8,5] => [2,4,3,1,8,6,7,5] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[2,4,3,1,7,8,6,5] => [3,2,4,1,6,8,7,5] => [2,4,3,1,7,6,8,5] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[2,4,3,1,6,8,7,5] => [3,2,4,1,7,6,8,5] => [2,4,3,1,6,8,7,5] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[2,4,3,1,7,6,8,5] => [3,2,4,1,8,7,6,5] => [2,4,3,1,7,8,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[2,4,3,1,6,7,8,5] => [3,2,4,1,8,6,7,5] => [2,4,3,1,6,7,8,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[3,2,4,1,8,7,6,5] => [4,3,2,1,6,7,8,5] => [3,4,1,2,8,6,7,5] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,4,1,7,8,6,5] => [4,3,2,1,6,8,7,5] => [3,4,1,2,7,6,8,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[3,2,4,1,6,8,7,5] => [4,3,2,1,7,6,8,5] => [3,4,1,2,6,8,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[3,2,4,1,7,6,8,5] => [4,3,2,1,8,7,6,5] => [3,4,1,2,7,8,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[3,2,4,1,6,7,8,5] => [4,3,2,1,8,6,7,5] => [3,4,1,2,6,7,8,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[2,3,4,1,8,7,6,5] => [4,2,3,1,6,7,8,5] => [2,3,4,1,8,6,7,5] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,4,1,7,8,6,5] => [4,2,3,1,6,8,7,5] => [2,3,4,1,7,6,8,5] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[2,3,4,1,6,8,7,5] => [4,2,3,1,7,6,8,5] => [2,3,4,1,6,8,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[2,3,4,1,7,6,8,5] => [4,2,3,1,8,7,6,5] => [2,3,4,1,7,8,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[2,3,4,1,6,7,8,5] => [4,2,3,1,8,6,7,5] => [2,3,4,1,6,7,8,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,4,3,2,8,7,6,5] => [1,3,4,2,6,7,8,5] => [1,4,3,2,8,6,7,5] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,4,3,2,7,8,6,5] => [1,3,4,2,6,8,7,5] => [1,4,3,2,7,6,8,5] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,4,3,2,6,8,7,5] => [1,3,4,2,7,6,8,5] => [1,4,3,2,6,8,7,5] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,4,3,2,7,6,8,5] => [1,3,4,2,8,7,6,5] => [1,4,3,2,7,8,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,4,3,2,6,7,8,5] => [1,3,4,2,8,6,7,5] => [1,4,3,2,6,7,8,5] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,3,4,2,8,7,6,5] => [1,4,3,2,6,7,8,5] => [1,3,4,2,8,6,7,5] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,3,4,2,7,8,6,5] => [1,4,3,2,6,8,7,5] => [1,3,4,2,7,6,8,5] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,3,4,2,6,8,7,5] => [1,4,3,2,7,6,8,5] => [1,3,4,2,6,8,7,5] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,3,4,2,7,6,8,5] => [1,4,3,2,8,7,6,5] => [1,3,4,2,7,8,5,6] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,3,4,2,6,7,8,5] => [1,4,3,2,8,6,7,5] => [1,3,4,2,6,7,8,5] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[2,1,4,3,8,7,6,5] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,6,7,5] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,7,8,6,5] => [2,1,4,3,6,8,7,5] => [2,1,4,3,7,6,8,5] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[2,1,4,3,6,8,7,5] => [2,1,4,3,7,6,8,5] => [2,1,4,3,6,8,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[2,1,4,3,7,6,8,5] => [2,1,4,3,8,7,6,5] => [2,1,4,3,7,8,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[2,1,4,3,6,7,8,5] => [2,1,4,3,8,6,7,5] => [2,1,4,3,6,7,8,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,2,4,3,8,7,6,5] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,2,4,3,7,8,6,5] => [1,2,4,3,6,8,7,5] => [1,2,4,3,7,6,8,5] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,2,4,3,6,8,7,5] => [1,2,4,3,7,6,8,5] => [1,2,4,3,6,8,7,5] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,2,4,3,7,6,8,5] => [1,2,4,3,8,7,6,5] => [1,2,4,3,7,8,5,6] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5] => [1,2,4,3,6,7,8,5] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[3,2,1,4,8,7,6,5] => [2,3,1,4,6,7,8,5] => [3,2,1,4,8,6,7,5] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[3,2,1,4,6,8,7,5] => [2,3,1,4,7,6,8,5] => [3,2,1,4,6,8,7,5] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[3,2,1,4,7,6,8,5] => [2,3,1,4,8,7,6,5] => [3,2,1,4,7,8,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[2,3,1,4,7,8,6,5] => [3,2,1,4,6,8,7,5] => [2,3,1,4,7,6,8,5] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[2,3,1,4,7,6,8,5] => [3,2,1,4,8,7,6,5] => [2,3,1,4,7,8,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[2,3,1,4,6,7,8,5] => [3,2,1,4,8,6,7,5] => [2,3,1,4,6,7,8,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,3,2,4,8,7,6,5] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,6,7,5] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,3,2,4,7,8,6,5] => [1,3,2,4,6,8,7,5] => [1,3,2,4,7,6,8,5] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,3,2,4,6,8,7,5] => [1,3,2,4,7,6,8,5] => [1,3,2,4,6,8,7,5] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,3,2,4,7,6,8,5] => [1,3,2,4,8,7,6,5] => [1,3,2,4,7,8,5,6] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,3,2,4,6,7,8,5] => [1,3,2,4,8,6,7,5] => [1,3,2,4,6,7,8,5] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[2,1,3,4,8,7,6,5] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,6,7,5] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[2,1,3,4,7,6,8,5] => [2,1,3,4,8,7,6,5] => [2,1,3,4,7,8,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[2,1,3,4,6,7,8,5] => [2,1,3,4,8,6,7,5] => [2,1,3,4,6,7,8,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,4,8,7,6,5] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,4,7,8,6,5] => [1,2,3,4,6,8,7,5] => [1,2,3,4,7,6,8,5] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,3,4,6,8,7,5] => [1,2,3,4,7,6,8,5] => [1,2,3,4,6,8,7,5] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,3,4,7,6,8,5] => [1,2,3,4,8,7,6,5] => [1,2,3,4,7,8,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5] => [1,2,3,4,6,7,8,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,3,2,1,8,7,6] => [2,3,4,5,1,7,8,6] => [5,2,3,4,1,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,4,3,2,1,7,8,6] => [2,3,4,5,1,8,7,6] => [5,2,3,4,1,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[4,5,3,2,1,7,8,6] => [2,3,5,4,1,8,7,6] => [4,2,3,5,1,7,8,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[3,5,4,2,1,8,7,6] => [2,4,3,5,1,7,8,6] => [3,2,5,4,1,8,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[3,5,4,2,1,7,8,6] => [2,4,3,5,1,8,7,6] => [3,2,5,4,1,7,8,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[4,3,5,2,1,8,7,6] => [2,5,4,3,1,7,8,6] => [4,2,5,1,3,8,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[4,3,5,2,1,7,8,6] => [2,5,4,3,1,8,7,6] => [4,2,5,1,3,7,8,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[2,4,5,3,1,8,7,6] => [3,2,5,4,1,7,8,6] => [2,4,3,5,1,8,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[2,4,5,3,1,7,8,6] => [3,2,5,4,1,8,7,6] => [2,4,3,5,1,7,8,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[3,2,5,4,1,8,7,6] => [4,3,2,5,1,7,8,6] => [3,5,1,4,2,8,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[3,2,5,4,1,7,8,6] => [4,3,2,5,1,8,7,6] => [3,5,1,4,2,7,8,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[2,3,5,4,1,8,7,6] => [4,2,3,5,1,7,8,6] => [2,3,5,4,1,8,7,6] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[3,4,2,5,1,8,7,6] => [5,4,3,2,1,7,8,6] => [3,4,5,1,2,8,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[3,4,2,5,1,7,8,6] => [5,4,3,2,1,8,7,6] => [3,4,5,1,2,7,8,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[2,4,3,5,1,7,8,6] => [5,2,4,3,1,8,7,6] => [2,4,5,1,3,7,8,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[2,3,4,5,1,8,7,6] => [5,2,3,4,1,7,8,6] => [2,3,4,5,1,8,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[2,3,4,5,1,7,8,6] => [5,2,3,4,1,8,7,6] => [2,3,4,5,1,7,8,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,5,4,3,2,8,7,6] => [1,3,4,5,2,7,8,6] => [1,5,3,4,2,8,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,5,4,3,2,7,8,6] => [1,3,4,5,2,8,7,6] => [1,5,3,4,2,7,8,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,4,5,3,2,8,7,6] => [1,3,5,4,2,7,8,6] => [1,4,3,5,2,8,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,3,5,4,2,7,8,6] => [1,4,3,5,2,8,7,6] => [1,3,5,4,2,7,8,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,4,3,5,2,7,8,6] => [1,5,4,3,2,8,7,6] => [1,4,5,2,3,7,8,6] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,3,4,5,2,8,7,6] => [1,5,3,4,2,7,8,6] => [1,3,4,5,2,8,7,6] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,3,4,5,2,7,8,6] => [1,5,3,4,2,8,7,6] => [1,3,4,5,2,7,8,6] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,7,6] => [1,2,5,4,3,7,8,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,2,4,5,3,8,7,6] => [1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,7,6] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[2,1,3,5,4,8,7,6] => [2,1,3,5,4,7,8,6] => [2,1,3,5,4,8,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[2,1,3,5,4,7,8,6] => [2,1,3,5,4,8,7,6] => [2,1,3,5,4,7,8,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[4,3,2,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => [4,2,3,1,5,8,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[4,3,2,1,5,7,8,6] => [2,3,4,1,5,8,7,6] => [4,2,3,1,5,7,8,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[3,4,2,1,5,7,8,6] => [2,4,3,1,5,8,7,6] => [3,2,4,1,5,7,8,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[2,4,3,1,5,8,7,6] => [3,2,4,1,5,7,8,6] => [2,4,3,1,5,8,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[3,2,4,1,5,8,7,6] => [4,3,2,1,5,7,8,6] => [3,4,1,2,5,8,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[3,2,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6] => [3,4,1,2,5,7,8,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[2,3,4,1,5,8,7,6] => [4,2,3,1,5,7,8,6] => [2,3,4,1,5,8,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[2,3,4,1,5,7,8,6] => [4,2,3,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,4,3,2,5,7,8,6] => [1,3,4,2,5,8,7,6] => [1,4,3,2,5,7,8,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,3,4,2,5,8,7,6] => [1,4,3,2,5,7,8,6] => [1,3,4,2,5,8,7,6] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[6,5,4,3,2,1,8,7] => [2,3,4,5,6,1,8,7] => [6,2,3,4,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,4,6,3,2,1,8,7] => [2,3,6,5,4,1,8,7] => [5,2,3,6,1,4,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,5,6,3,2,1,8,7] => [2,3,6,4,5,1,8,7] => [4,2,3,5,6,1,8,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[3,6,5,4,2,1,8,7] => [2,4,3,5,6,1,8,7] => [3,2,6,4,5,1,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[3,5,6,4,2,1,8,7] => [2,4,3,6,5,1,8,7] => [3,2,5,4,6,1,8,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[4,3,6,5,2,1,8,7] => [2,5,4,3,6,1,8,7] => [4,2,6,1,5,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[5,4,3,6,2,1,8,7] => [2,6,4,5,3,1,8,7] => [4,2,6,5,1,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[4,5,3,6,2,1,8,7] => [2,6,5,4,3,1,8,7] => [4,2,5,6,1,3,8,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[4,3,5,6,2,1,8,7] => [2,6,4,3,5,1,8,7] => [4,2,5,1,6,3,8,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[2,4,6,5,3,1,8,7] => [3,2,5,4,6,1,8,7] => [2,4,3,6,5,1,8,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[2,4,5,6,3,1,8,7] => [3,2,6,4,5,1,8,7] => [2,4,3,5,6,1,8,7] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[3,2,6,5,4,1,8,7] => [4,3,2,5,6,1,8,7] => [3,6,1,4,5,2,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[3,2,5,6,4,1,8,7] => [4,3,2,6,5,1,8,7] => [3,5,1,4,6,2,8,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[2,3,6,5,4,1,8,7] => [4,2,3,5,6,1,8,7] => [2,3,6,4,5,1,8,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[4,3,2,6,5,1,8,7] => [5,3,4,2,6,1,8,7] => [3,6,4,1,5,2,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[2,4,3,6,5,1,8,7] => [5,2,4,3,6,1,8,7] => [2,4,6,1,5,3,8,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[5,4,3,2,6,1,8,7] => [6,3,4,5,2,1,8,7] => [3,6,4,5,1,2,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[4,5,3,2,6,1,8,7] => [6,3,5,4,2,1,8,7] => [3,5,4,6,1,2,8,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[3,5,4,2,6,1,8,7] => [6,4,3,5,2,1,8,7] => [3,4,6,5,1,2,8,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[4,3,5,2,6,1,8,7] => [6,5,4,3,2,1,8,7] => [4,5,6,1,2,3,8,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[3,4,5,2,6,1,8,7] => [6,5,3,4,2,1,8,7] => [3,4,5,6,1,2,8,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[2,5,4,3,6,1,8,7] => [6,2,4,5,3,1,8,7] => [2,4,6,5,1,3,8,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[2,4,5,3,6,1,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[3,2,5,4,6,1,8,7] => [6,3,2,5,4,1,8,7] => [3,5,1,6,2,4,8,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[4,3,2,5,6,1,8,7] => [6,3,4,2,5,1,8,7] => [3,5,4,1,6,2,8,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[3,4,2,5,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[2,4,3,5,6,1,8,7] => [6,2,4,3,5,1,8,7] => [2,4,5,1,6,3,8,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[2,3,4,5,6,1,8,7] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[2,1,6,5,4,3,8,7] => [2,1,4,5,6,3,8,7] => [2,1,6,4,5,3,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,5,6,4,3,8,7] => [2,1,4,6,5,3,8,7] => [2,1,5,4,6,3,8,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[2,1,4,6,5,3,8,7] => [2,1,5,4,6,3,8,7] => [2,1,4,6,5,3,8,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,5,4,6,3,8,7] => [2,1,6,5,4,3,8,7] => [2,1,5,6,3,4,8,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,4,5,6,3,8,7] => [2,1,6,4,5,3,8,7] => [2,1,4,5,6,3,8,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,2,6,5,4,8,7] => [1,3,2,5,6,4,8,7] => [1,3,2,6,5,4,8,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,3,2,5,6,4,8,7] => [1,3,2,6,5,4,8,7] => [1,3,2,5,6,4,8,7] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7] => [2,1,3,6,5,4,8,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[2,1,3,5,6,4,8,7] => [2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[4,3,2,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => [4,2,3,1,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[3,4,2,1,6,5,8,7] => [2,4,3,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[2,4,3,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => [2,4,3,1,6,5,8,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[3,2,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [3,4,1,2,6,5,8,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[2,3,4,1,6,5,8,7] => [4,2,3,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[5,4,3,2,1,6,8,7] => [2,3,4,5,1,6,8,7] => [5,2,3,4,1,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[4,5,3,2,1,6,8,7] => [2,3,5,4,1,6,8,7] => [4,2,3,5,1,6,8,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[3,5,4,2,1,6,8,7] => [2,4,3,5,1,6,8,7] => [3,2,5,4,1,6,8,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[4,3,5,2,1,6,8,7] => [2,5,4,3,1,6,8,7] => [4,2,5,1,3,6,8,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[2,4,5,3,1,6,8,7] => [3,2,5,4,1,6,8,7] => [2,4,3,5,1,6,8,7] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[2,3,5,4,1,6,8,7] => [4,2,3,5,1,6,8,7] => [2,3,5,4,1,6,8,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[3,4,2,5,1,6,8,7] => [5,4,3,2,1,6,8,7] => [3,4,5,1,2,6,8,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[2,3,4,5,1,6,8,7] => [5,2,3,4,1,6,8,7] => [2,3,4,5,1,6,8,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7] => [2,1,5,4,3,6,8,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[2,1,4,5,3,6,8,7] => [2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[3,2,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => [3,4,1,2,5,6,8,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[5,7,6,4,3,2,1,8] => [2,3,4,6,5,7,1,8] => [5,2,3,4,7,6,1,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[4,7,6,5,3,2,1,8] => [2,3,5,4,6,7,1,8] => [4,2,3,7,5,6,1,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[3,7,6,5,4,2,1,8] => [2,4,3,5,6,7,1,8] => [3,2,7,4,5,6,1,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[3,5,7,6,4,2,1,8] => [2,4,3,6,5,7,1,8] => [3,2,5,4,7,6,1,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[4,3,7,6,5,2,1,8] => [2,5,4,3,6,7,1,8] => [4,2,7,1,5,6,3,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[2,7,6,5,4,3,1,8] => [3,2,4,5,6,7,1,8] => [2,7,3,4,5,6,1,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[2,4,6,7,5,3,1,8] => [3,2,5,4,7,6,1,8] => [2,4,3,6,5,7,1,8] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[2,5,4,7,6,3,1,8] => [3,2,6,5,4,7,1,8] => [2,5,3,7,1,6,4,8] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[2,5,6,4,7,3,1,8] => [3,2,7,6,5,4,1,8] => [2,5,3,6,7,1,4,8] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[2,5,4,6,7,3,1,8] => [3,2,7,5,4,6,1,8] => [2,5,3,6,1,7,4,8] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[2,4,5,6,7,3,1,8] => [3,2,7,4,5,6,1,8] => [2,4,3,5,6,7,1,8] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[3,2,7,6,5,4,1,8] => [4,3,2,5,6,7,1,8] => [3,7,1,4,5,6,2,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[3,2,6,7,5,4,1,8] => [4,3,2,5,7,6,1,8] => [3,6,1,4,5,7,2,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[2,3,5,6,7,4,1,8] => [4,2,3,7,5,6,1,8] => [2,3,5,4,6,7,1,8] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[4,3,2,6,7,5,1,8] => [5,3,4,2,7,6,1,8] => [3,6,4,1,5,7,2,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[3,4,2,7,6,5,1,8] => [5,4,3,2,6,7,1,8] => [3,4,7,1,5,6,2,8] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[3,4,2,6,7,5,1,8] => [5,4,3,2,7,6,1,8] => [3,4,6,1,5,7,2,8] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[3,2,4,6,7,5,1,8] => [5,3,2,4,7,6,1,8] => [3,4,1,6,5,7,2,8] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[2,3,4,7,6,5,1,8] => [5,2,3,4,6,7,1,8] => [2,3,4,7,5,6,1,8] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[2,3,4,6,7,5,1,8] => [5,2,3,4,7,6,1,8] => [2,3,4,6,5,7,1,8] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[5,4,3,2,7,6,1,8] => [6,3,4,5,2,7,1,8] => [3,7,4,5,1,6,2,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[4,5,3,2,7,6,1,8] => [6,3,5,4,2,7,1,8] => [3,5,4,7,1,6,2,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[4,3,5,2,7,6,1,8] => [6,5,4,3,2,7,1,8] => [4,5,7,1,2,6,3,8] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[2,3,5,4,7,6,1,8] => [6,2,3,5,4,7,1,8] => [2,3,5,7,1,6,4,8] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[3,2,4,5,7,6,1,8] => [6,3,2,4,5,7,1,8] => [3,4,1,5,7,6,2,8] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[2,3,4,5,7,6,1,8] => [6,2,3,4,5,7,1,8] => [2,3,4,5,7,6,1,8] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[3,5,6,4,2,7,1,8] => [7,4,3,6,5,2,1,8] => [3,4,6,5,7,1,2,8] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[3,5,4,6,2,7,1,8] => [7,6,3,5,4,2,1,8] => [3,5,6,7,1,2,4,8] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[2,4,5,6,3,7,1,8] => [7,2,6,4,5,3,1,8] => [2,4,5,6,7,1,3,8] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[2,3,5,6,4,7,1,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[4,3,2,6,5,7,1,8] => [7,3,4,2,6,5,1,8] => [3,6,4,1,7,2,5,8] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[2,3,4,6,5,7,1,8] => [7,2,3,4,6,5,1,8] => [2,3,4,6,7,1,5,8] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[2,4,5,3,6,7,1,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[3,2,5,4,6,7,1,8] => [7,3,2,5,4,6,1,8] => [3,5,1,6,2,7,4,8] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[2,3,5,4,6,7,1,8] => [7,2,3,5,4,6,1,8] => [2,3,5,6,1,7,4,8] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,7,6,5,4,3,2,8] => [1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,5,7,6,4,3,2,8] => [1,3,4,6,5,7,2,8] => [1,5,3,4,7,6,2,8] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,4,6,7,5,3,2,8] => [1,3,5,4,7,6,2,8] => [1,4,3,6,5,7,2,8] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,5,4,7,6,3,2,8] => [1,3,6,5,4,7,2,8] => [1,5,3,7,2,6,4,8] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,4,5,7,6,3,2,8] => [1,3,6,4,5,7,2,8] => [1,4,3,5,7,6,2,8] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,4,5,6,7,3,2,8] => [1,3,7,4,5,6,2,8] => [1,4,3,5,6,7,2,8] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,3,7,6,5,4,2,8] => [1,4,3,5,6,7,2,8] => [1,3,7,4,5,6,2,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,3,6,7,5,4,2,8] => [1,4,3,5,7,6,2,8] => [1,3,6,4,5,7,2,8] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,3,5,7,6,4,2,8] => [1,4,3,6,5,7,2,8] => [1,3,5,4,7,6,2,8] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,4,3,7,6,5,2,8] => [1,5,4,3,6,7,2,8] => [1,4,7,2,5,6,3,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,3,4,6,7,5,2,8] => [1,5,3,4,7,6,2,8] => [1,3,4,6,5,7,2,8] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,5,6,4,3,7,2,8] => [1,7,4,6,5,3,2,8] => [1,4,6,5,7,2,3,8] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,5,4,6,3,7,2,8] => [1,7,6,5,4,3,2,8] => [1,5,6,7,2,3,4,8] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,4,5,6,3,7,2,8] => [1,7,6,4,5,3,2,8] => [1,4,5,6,7,2,3,8] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,3,5,6,4,7,2,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,4,5,3,6,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,3,5,4,6,7,2,8] => [1,7,3,5,4,6,2,8] => [1,3,5,6,2,7,4,8] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[2,1,5,6,4,7,3,8] => [2,1,7,6,5,4,3,8] => [2,1,5,6,7,3,4,8] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,5,4,6,7,3,8] => [1,2,7,5,4,6,3,8] => [1,2,5,6,3,7,4,8] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[3,2,1,7,6,5,4,8] => [2,3,1,5,6,7,4,8] => [3,2,1,7,5,6,4,8] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[3,2,1,5,7,6,4,8] => [2,3,1,6,5,7,4,8] => [3,2,1,5,7,6,4,8] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[3,2,1,5,6,7,4,8] => [2,3,1,7,5,6,4,8] => [3,2,1,5,6,7,4,8] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[2,3,1,7,6,5,4,8] => [3,2,1,5,6,7,4,8] => [2,3,1,7,5,6,4,8] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[2,3,1,6,7,5,4,8] => [3,2,1,5,7,6,4,8] => [2,3,1,6,5,7,4,8] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[2,3,1,5,6,7,4,8] => [3,2,1,7,5,6,4,8] => [2,3,1,5,6,7,4,8] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,3,2,6,7,5,4,8] => [1,3,2,5,7,6,4,8] => [1,3,2,6,5,7,4,8] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,3,2,5,7,6,4,8] => [1,3,2,6,5,7,4,8] => [1,3,2,5,7,6,4,8] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,3,2,6,5,7,4,8] => [1,3,2,7,6,5,4,8] => [1,3,2,6,7,4,5,8] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,2,3,7,6,5,4,8] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,3,6,7,5,4,8] => [1,2,3,5,7,6,4,8] => [1,2,3,6,5,7,4,8] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,3,5,7,6,4,8] => [1,2,3,6,5,7,4,8] => [1,2,3,5,7,6,4,8] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,3,6,5,7,4,8] => [1,2,3,7,6,5,4,8] => [1,2,3,6,7,4,5,8] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => [1,2,3,5,6,7,4,8] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,2,1,7,6,5,8] => [2,3,4,1,6,7,5,8] => [4,2,3,1,7,6,5,8] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[3,2,4,1,7,6,5,8] => [4,3,2,1,6,7,5,8] => [3,4,1,2,7,6,5,8] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[3,2,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8] => [3,4,1,2,6,7,5,8] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[2,3,4,1,6,7,5,8] => [4,2,3,1,7,6,5,8] => [2,3,4,1,6,7,5,8] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,3,2,4,7,6,5,8] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8] => [1,3,2,4,6,7,5,8] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[3,5,4,2,1,7,6,8] => [2,4,3,5,1,7,6,8] => [3,2,5,4,1,7,6,8] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[4,3,5,2,1,7,6,8] => [2,5,4,3,1,7,6,8] => [4,2,5,1,3,7,6,8] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[2,4,5,3,1,7,6,8] => [3,2,5,4,1,7,6,8] => [2,4,3,5,1,7,6,8] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[2,4,3,5,1,7,6,8] => [5,2,4,3,1,7,6,8] => [2,4,5,1,3,7,6,8] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[3,2,4,5,1,7,6,8] => [5,3,2,4,1,7,6,8] => [3,4,1,5,2,7,6,8] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,4,5,3,2,7,6,8] => [1,3,5,4,2,7,6,8] => [1,4,3,5,2,7,6,8] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,3,5,4,2,7,6,8] => [1,4,3,5,2,7,6,8] => [1,3,5,4,2,7,6,8] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,4,3,5,2,7,6,8] => [1,5,4,3,2,7,6,8] => [1,4,5,2,3,7,6,8] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[4,3,2,1,5,7,6,8] => [2,3,4,1,5,7,6,8] => [4,2,3,1,5,7,6,8] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[3,2,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => [3,4,1,2,5,7,6,8] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[2,3,4,1,5,7,6,8] => [4,2,3,1,5,7,6,8] => [2,3,4,1,5,7,6,8] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[3,2,1,4,5,7,6,8] => [2,3,1,4,5,7,6,8] => [3,2,1,4,5,7,6,8] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[2,3,1,4,5,7,6,8] => [3,2,1,4,5,7,6,8] => [2,3,1,4,5,7,6,8] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[3,5,4,6,2,1,7,8] => [2,6,3,5,4,1,7,8] => [3,2,5,6,1,4,7,8] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[2,3,6,5,4,1,7,8] => [4,2,3,5,6,1,7,8] => [2,3,6,4,5,1,7,8] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[2,3,5,6,4,1,7,8] => [4,2,3,6,5,1,7,8] => [2,3,5,4,6,1,7,8] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[3,4,2,6,5,1,7,8] => [5,4,3,2,6,1,7,8] => [3,4,6,1,5,2,7,8] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[2,4,3,6,5,1,7,8] => [5,2,4,3,6,1,7,8] => [2,4,6,1,5,3,7,8] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[2,3,4,6,5,1,7,8] => [5,2,3,4,6,1,7,8] => [2,3,4,6,5,1,7,8] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[3,2,5,4,6,1,7,8] => [6,3,2,5,4,1,7,8] => [3,5,1,6,2,4,7,8] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[2,3,5,4,6,1,7,8] => [6,2,3,5,4,1,7,8] => [2,3,5,6,1,4,7,8] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,6,5,4,3,2,7,8] => [1,3,4,5,6,2,7,8] => [1,6,3,4,5,2,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,4,6,5,3,2,7,8] => [1,3,5,4,6,2,7,8] => [1,4,3,6,5,2,7,8] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,3,5,6,4,2,7,8] => [1,4,3,6,5,2,7,8] => [1,3,5,4,6,2,7,8] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,4,3,6,5,2,7,8] => [1,5,4,3,6,2,7,8] => [1,4,6,2,5,3,7,8] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,3,5,4,6,2,7,8] => [1,6,3,5,4,2,7,8] => [1,3,5,6,2,4,7,8] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,4,3,5,6,2,7,8] => [1,6,4,3,5,2,7,8] => [1,4,5,2,6,3,7,8] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,3,4,5,6,2,7,8] => [1,6,3,4,5,2,7,8] => [1,3,4,5,6,2,7,8] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,2,6,5,4,3,7,8] => [1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,2,5,4,6,3,7,8] => [1,2,6,5,4,3,7,8] => [1,2,5,6,3,4,7,8] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8] => [1,2,4,5,6,3,7,8] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[3,2,1,5,6,4,7,8] => [2,3,1,6,5,4,7,8] => [3,2,1,5,6,4,7,8] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[2,3,1,6,5,4,7,8] => [3,2,1,5,6,4,7,8] => [2,3,1,6,5,4,7,8] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,3,2,6,5,4,7,8] => [1,3,2,5,6,4,7,8] => [1,3,2,6,5,4,7,8] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,3,2,5,6,4,7,8] => [1,3,2,6,5,4,7,8] => [1,3,2,5,6,4,7,8] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[4,3,2,1,6,5,7,8] => [2,3,4,1,6,5,7,8] => [4,2,3,1,6,5,7,8] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[3,4,2,1,6,5,7,8] => [2,4,3,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[2,4,3,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => [2,4,3,1,6,5,7,8] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[3,2,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => [3,4,1,2,6,5,7,8] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[2,3,4,1,6,5,7,8] => [4,2,3,1,6,5,7,8] => [2,3,4,1,6,5,7,8] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,4,2,1,6,7,8] => [2,4,3,5,1,6,7,8] => [3,2,5,4,1,6,7,8] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[2,5,4,3,1,6,7,8] => [3,2,4,5,1,6,7,8] => [2,5,3,4,1,6,7,8] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[2,4,5,3,1,6,7,8] => [3,2,5,4,1,6,7,8] => [2,4,3,5,1,6,7,8] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[3,2,5,4,1,6,7,8] => [4,3,2,5,1,6,7,8] => [3,5,1,4,2,6,7,8] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[2,3,5,4,1,6,7,8] => [4,2,3,5,1,6,7,8] => [2,3,5,4,1,6,7,8] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[2,4,3,5,1,6,7,8] => [5,2,4,3,1,6,7,8] => [2,4,5,1,3,6,7,8] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,5,4,3,2,6,7,8] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,4,5,3,2,6,7,8] => [1,3,5,4,2,6,7,8] => [1,4,3,5,2,6,7,8] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,3,5,4,2,6,7,8] => [1,4,3,5,2,6,7,8] => [1,3,5,4,2,6,7,8] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,4,3,5,2,6,7,8] => [1,5,4,3,2,6,7,8] => [1,4,5,2,3,6,7,8] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => [1,3,4,5,2,6,7,8] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,5,4,3,6,7,8] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => [1,2,4,5,3,6,7,8] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,3,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,4,8,6,7,5] => [1,2,3,4,7,8,6,5] => [1,2,3,4,8,7,5,6] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,5,8,6,7,4] => [1,2,3,7,5,8,6,4] => [1,2,3,5,8,7,4,6] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,3,7,5,6,4,8] => [1,2,3,6,7,5,4,8] => [1,2,3,7,6,4,5,8] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,3,7,5,6,8,4] => [1,2,3,8,7,5,6,4] => [1,2,3,7,8,4,5,6] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,3,8,5,6,7,4] => [1,2,3,7,8,5,6,4] => [1,2,3,8,7,4,5,6] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,8,5,7,6,4] => [1,2,3,6,7,8,4,5] => [1,2,3,8,7,6,5,4] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,8,6,5,7,4] => [1,2,3,7,6,8,5,4] => [1,2,3,7,8,6,4,5] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,3,8,6,7,5,4] => [1,2,3,5,7,8,6,4] => [1,2,3,8,5,7,4,6] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,4,3,8,6,7,5] => [1,2,4,3,7,8,6,5] => [1,2,4,3,8,7,5,6] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,2,4,8,5,7,6,3] => [1,2,6,4,7,8,3,5] => [1,2,4,8,7,6,5,3] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,4,8,6,5,7,3] => [1,2,7,4,6,8,5,3] => [1,2,4,7,8,6,3,5] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,4,8,6,7,5,3] => [1,2,5,4,7,8,6,3] => [1,2,4,8,5,7,3,6] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,5,4,8,6,7,3] => [1,2,7,5,4,8,6,3] => [1,2,5,8,3,7,4,6] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,6,4,5,3,7,8] => [1,2,5,6,4,3,7,8] => [1,2,6,5,3,4,7,8] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,2,6,4,5,7,8,3] => [1,2,8,6,4,5,7,3] => [1,2,6,7,3,4,8,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,2,6,4,5,8,7,3] => [1,2,7,6,4,5,8,3] => [1,2,6,8,3,4,7,5] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,7,4,5,6,3,8] => [1,2,6,7,4,5,3,8] => [1,2,7,6,3,4,5,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,2,7,4,5,6,8,3] => [1,2,8,7,4,5,6,3] => [1,2,7,8,3,4,5,6] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,2,8,4,5,6,7,3] => [1,2,7,8,4,5,6,3] => [1,2,8,7,3,4,5,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,4,5,7,6,3] => [1,2,6,7,3,8,5,4] => [1,2,8,7,4,6,3,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,4,6,7,5,3] => [1,2,5,7,8,3,6,4] => [1,2,8,7,5,4,3,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,4,7,6,5,3] => [1,2,5,6,7,8,4,3] => [1,2,8,7,5,6,3,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,5,4,6,8,3] => [1,2,8,5,7,4,6,3] => [1,2,5,8,7,3,4,6] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,7,5,6,4,8,3] => [1,2,8,6,7,5,4,3] => [1,2,6,8,7,3,4,5] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,8,5,6,4,7,3] => [1,2,7,6,8,5,4,3] => [1,2,7,8,6,3,4,5] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,2,8,5,7,6,4,3] => [1,2,4,6,7,8,3,5] => [1,2,8,4,7,6,5,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,6,5,4,7,3] => [1,2,7,5,6,8,4,3] => [1,2,5,8,7,6,3,4] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,8,6,5,7,4,3] => [1,2,4,7,6,8,5,3] => [1,2,7,4,8,6,3,5] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,3,2,5,8,6,7,4] => [1,3,2,7,5,8,6,4] => [1,3,2,5,8,7,4,6] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,3,2,7,5,6,4,8] => [1,3,2,6,7,5,4,8] => [1,3,2,7,6,4,5,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,3,2,8,5,6,7,4] => [1,3,2,7,8,5,6,4] => [1,3,2,8,7,4,5,6] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,2,8,5,7,6,4] => [1,3,2,6,7,8,4,5] => [1,3,2,8,7,6,5,4] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,2,8,6,7,5,4] => [1,3,2,5,7,8,6,4] => [1,3,2,8,5,7,4,6] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,4,8,6,7,5,2] => [1,5,3,4,7,8,6,2] => [1,3,4,8,5,7,2,6] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,3,6,4,5,7,8,2] => [1,8,3,6,4,5,7,2] => [1,3,6,7,2,4,8,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,3,6,4,5,8,7,2] => [1,7,3,6,4,5,8,2] => [1,3,6,8,2,4,7,5] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,3,7,4,5,6,2,8] => [1,6,3,7,4,5,2,8] => [1,3,7,6,2,4,5,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,3,7,4,5,6,8,2] => [1,8,3,7,4,5,6,2] => [1,3,7,8,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,3,8,4,5,6,7,2] => [1,7,3,8,4,5,6,2] => [1,3,8,7,2,4,5,6] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,8,4,6,5,7,2] => [1,7,3,8,6,4,5,2] => [1,3,7,6,8,4,2,5] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,3,8,4,7,6,5,2] => [1,5,3,6,7,8,4,2] => [1,3,8,7,5,6,2,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,7,5,4,6,8,2] => [1,8,3,5,7,4,6,2] => [1,3,5,8,7,2,4,6] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,3,8,5,4,7,6,2] => [1,6,3,5,7,8,2,4] => [1,3,7,8,5,6,4,2] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,3,8,5,6,7,4,2] => [1,4,3,7,8,5,6,2] => [1,3,8,4,7,2,5,6] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,8,6,5,7,4,2] => [1,4,3,7,6,8,5,2] => [1,3,7,4,8,6,2,5] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,3,8,7,5,6,4,2] => [1,4,3,6,7,5,8,2] => [1,3,8,4,6,2,7,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,7,5,6,2,8] => [1,6,4,3,7,5,2,8] => [1,4,7,2,6,3,5,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,4,3,8,5,7,6,2] => [1,6,4,3,7,8,2,5] => [1,4,8,2,7,6,5,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,4,3,8,6,5,7,2] => [1,7,4,3,6,8,5,2] => [1,4,7,2,8,6,3,5] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,5,3,4,2,6,7,8] => [1,4,5,3,2,6,7,8] => [1,5,4,2,3,6,7,8] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,5,3,4,2,7,6,8] => [1,4,5,3,2,7,6,8] => [1,5,4,2,3,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,5,3,4,2,7,8,6] => [1,4,5,3,2,8,7,6] => [1,5,4,2,3,7,8,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,5,3,4,2,8,7,6] => [1,4,5,3,2,7,8,6] => [1,5,4,2,3,8,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,5,3,4,6,7,8,2] => [1,8,5,3,4,6,7,2] => [1,5,6,2,3,7,8,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,5,3,4,7,6,8,2] => [1,8,5,3,4,7,6,2] => [1,5,7,2,3,8,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,5,3,4,8,6,7,2] => [1,7,5,3,4,8,6,2] => [1,5,8,2,3,7,4,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,5,3,4,8,7,6,2] => [1,6,5,3,4,7,8,2] => [1,5,8,2,3,6,7,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,6,3,4,5,8,7,2] => [1,7,6,3,4,5,8,2] => [1,6,8,2,3,4,7,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,7,3,4,5,6,8,2] => [1,8,7,3,4,5,6,2] => [1,7,8,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,8,3,4,5,6,7,2] => [1,7,8,3,4,5,6,2] => [1,8,7,2,3,4,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,3,4,5,7,6,2] => [1,6,7,2,4,8,5,3] => [1,8,7,3,2,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,4,6,5,8,2] => [1,8,7,3,6,4,5,2] => [1,6,7,2,8,4,3,5] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,8,3,4,6,5,7,2] => [1,7,8,3,6,4,5,2] => [1,7,6,2,8,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,8,3,4,7,6,5,2] => [1,5,6,3,7,8,4,2] => [1,8,7,2,5,6,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,5,4,2,7,8] => [1,4,5,6,2,3,7,8] => [1,6,5,4,3,2,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,7,3,5,6,4,8,2] => [1,8,7,6,3,5,4,2] => [1,6,7,8,3,2,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,8,3,5,6,4,7,2] => [1,7,8,6,3,5,4,2] => [1,7,6,8,3,2,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,8,3,5,7,6,4,2] => [1,4,6,7,3,8,5,2] => [1,8,7,4,2,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,5,4,8,2] => [1,8,7,5,6,3,4,2] => [1,5,6,8,7,3,2,4] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,8,3,6,5,4,7,2] => [1,7,8,5,6,3,4,2] => [1,6,5,8,7,3,2,4] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,8,3,7,6,5,4,2] => [1,4,5,6,7,8,2,3] => [1,8,7,4,5,6,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,3,5,2,7,8] => [1,5,4,6,3,2,7,8] => [1,5,6,4,2,3,7,8] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,8,4,3,5,6,7,2] => [1,7,4,8,3,5,6,2] => [1,7,8,4,2,3,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,7,4,3,6,5,2,8] => [1,5,4,6,7,2,3,8] => [1,6,7,4,5,3,2,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,7,4,3,6,5,8,2] => [1,8,4,7,6,3,5,2] => [1,4,7,6,8,3,2,5] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,8,4,3,6,5,7,2] => [1,7,4,8,6,3,5,2] => [1,6,7,4,8,3,2,5] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,8,4,3,7,6,5,2] => [1,5,4,6,7,8,3,2] => [1,7,8,4,5,6,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,6,4,5,3,2,7,8] => [1,3,5,6,4,2,7,8] => [1,6,3,5,2,4,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,7,4,5,3,6,8,2] => [1,8,5,7,4,3,6,2] => [1,5,8,7,2,3,4,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,4,5,3,7,6,2] => [1,6,5,7,2,8,3,4] => [1,7,8,5,4,6,3,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,7,4,5,6,3,8,2] => [1,8,6,7,4,5,3,2] => [1,6,8,7,2,3,4,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,8,4,5,6,7,3,2] => [1,3,7,8,4,5,6,2] => [1,8,3,7,2,4,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,6,5,3,2,8] => [1,3,5,6,7,2,4,8] => [1,7,3,6,5,4,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,4,6,5,3,8,2] => [1,8,5,6,7,3,4,2] => [1,5,8,7,6,3,2,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,4,6,5,3,7,2] => [1,7,5,6,8,3,4,2] => [1,6,8,7,5,3,2,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,8,4,7,5,6,3,2] => [1,3,6,8,7,5,4,2] => [1,8,3,6,7,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,4,7,6,5,3,2] => [1,3,5,6,7,8,4,2] => [1,8,3,7,5,6,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,4,6,3,7,2] => [1,7,6,5,8,4,3,2] => [1,6,7,8,5,2,3,4] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,8,5,4,6,7,3,2] => [1,3,7,5,8,4,6,2] => [1,7,3,8,5,2,4,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,8,5,4,7,6,3,2] => [1,3,6,5,7,8,2,4] => [1,7,3,8,5,6,4,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,7,6,4,5,3,2,8] => [1,3,5,6,4,7,2,8] => [1,7,3,5,2,6,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,6,4,5,3,8,2] => [1,8,5,6,4,7,3,2] => [1,5,8,6,2,7,3,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,6,4,5,3,7,2] => [1,7,5,6,4,8,3,2] => [1,5,8,7,2,6,3,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,6,4,5,7,3,2] => [1,3,7,6,4,8,5,2] => [1,7,3,8,2,6,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,8,7,4,5,6,3,2] => [1,3,6,7,4,5,8,2] => [1,8,3,6,2,4,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,4,6,5,3,2] => [1,3,5,6,7,2,8,4] => [1,8,3,6,5,4,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,6,5,4,3,7,2] => [1,7,4,5,6,8,3,2] => [1,4,8,5,7,6,2,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,8,6,5,4,7,3,2] => [1,3,7,5,6,8,4,2] => [1,5,3,8,7,6,2,4] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,8,7,5,4,6,3,2] => [1,3,6,5,7,4,8,2] => [1,6,3,8,5,2,7,4] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,1,3,4,8,6,7,5] => [2,1,3,4,7,8,6,5] => [2,1,3,4,8,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[2,1,3,7,5,6,8,4] => [2,1,3,8,7,5,6,4] => [2,1,3,7,8,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[2,1,3,8,5,6,7,4] => [2,1,3,7,8,5,6,4] => [2,1,3,8,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[2,1,3,8,5,7,6,4] => [2,1,3,6,7,8,4,5] => [2,1,3,8,7,6,5,4] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[2,1,4,3,8,6,7,5] => [2,1,4,3,7,8,6,5] => [2,1,4,3,8,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,4,5,8,6,7,3] => [2,1,7,4,5,8,6,3] => [2,1,4,5,8,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[2,1,4,7,5,6,8,3] => [2,1,8,4,7,5,6,3] => [2,1,4,7,8,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,4,8,5,7,6,3] => [2,1,6,4,7,8,3,5] => [2,1,4,8,7,6,5,3] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,4,8,6,7,5,3] => [2,1,5,4,7,8,6,3] => [2,1,4,8,5,7,3,6] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,5,4,8,6,7,3] => [2,1,7,5,4,8,6,3] => [2,1,5,8,3,7,4,6] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,6,4,5,3,8,7] => [2,1,5,6,4,3,8,7] => [2,1,6,5,3,4,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,6,4,5,7,8,3] => [2,1,8,6,4,5,7,3] => [2,1,6,7,3,4,8,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[2,1,6,4,5,8,7,3] => [2,1,7,6,4,5,8,3] => [2,1,6,8,3,4,7,5] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[2,1,8,4,5,6,7,3] => [2,1,7,8,4,5,6,3] => [2,1,8,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,8,4,5,7,6,3] => [2,1,6,7,3,8,5,4] => [2,1,8,7,4,6,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,4,6,5,8,3] => [2,1,8,7,6,4,5,3] => [2,1,6,7,8,4,3,5] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,8,4,6,5,7,3] => [2,1,7,8,6,4,5,3] => [2,1,7,6,8,4,3,5] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[2,1,8,4,6,7,5,3] => [2,1,5,7,8,3,6,4] => [2,1,8,7,5,4,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,8,4,7,6,5,3] => [2,1,5,6,7,8,4,3] => [2,1,8,7,5,6,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,5,4,6,8,3] => [2,1,8,5,7,4,6,3] => [2,1,5,8,7,3,4,6] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,8,5,4,6,7,3] => [2,1,7,5,8,4,6,3] => [2,1,7,8,5,3,4,6] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[2,1,8,5,4,7,6,3] => [2,1,6,5,7,8,3,4] => [2,1,7,8,5,6,4,3] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[2,1,7,5,6,4,8,3] => [2,1,8,6,7,5,4,3] => [2,1,6,8,7,3,4,5] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[2,1,8,5,6,4,7,3] => [2,1,7,6,8,5,4,3] => [2,1,7,8,6,3,4,5] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[2,1,8,5,7,6,4,3] => [2,1,4,6,7,8,3,5] => [2,1,8,4,7,6,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,8,6,5,4,7,3] => [2,1,7,5,6,8,4,3] => [2,1,5,8,7,6,3,4] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,8,6,5,7,4,3] => [2,1,4,7,6,8,5,3] => [2,1,7,4,8,6,3,5] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[2,1,8,7,5,6,4,3] => [2,1,4,6,7,5,8,3] => [2,1,8,4,6,3,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,1,7,5,6,8,4] => [3,2,1,8,7,5,6,4] => [2,3,1,7,8,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[2,3,1,8,5,6,7,4] => [3,2,1,7,8,5,6,4] => [2,3,1,8,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,3,1,8,5,7,6,4] => [3,2,1,6,7,8,4,5] => [2,3,1,8,7,6,5,4] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,3,1,8,6,5,7,4] => [3,2,1,7,6,8,5,4] => [2,3,1,7,8,6,4,5] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[2,3,4,1,8,6,7,5] => [4,2,3,1,7,8,6,5] => [2,3,4,1,8,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,4,5,8,6,7,1] => [7,2,3,4,5,8,6,1] => [2,3,4,5,8,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,8,5,6,7,1] => [7,2,3,4,8,5,6,1] => [2,3,4,8,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,8,5,7,6,1] => [6,2,3,4,7,8,1,5] => [2,3,4,8,7,6,5,1] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,8,6,5,7,1] => [7,2,3,4,6,8,5,1] => [2,3,4,7,8,6,1,5] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[2,3,4,8,6,7,5,1] => [5,2,3,4,7,8,6,1] => [2,3,4,8,5,7,1,6] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,6,4,5,1,8,7] => [5,2,3,6,4,1,8,7] => [2,3,6,5,1,4,8,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,3,7,4,5,6,8,1] => [8,2,3,7,4,5,6,1] => [2,3,7,8,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,3,8,4,5,6,7,1] => [7,2,3,8,4,5,6,1] => [2,3,8,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,8,4,6,7,5,1] => [5,2,3,7,8,1,6,4] => [2,3,8,7,5,4,1,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,8,4,7,6,5,1] => [5,2,3,6,7,8,4,1] => [2,3,8,7,5,6,1,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,1,8,6,7,5] => [3,2,4,1,7,8,6,5] => [2,4,3,1,8,7,5,6] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[2,4,3,7,5,6,1,8] => [6,2,4,3,7,5,1,8] => [2,4,7,1,6,3,5,8] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[2,4,3,7,5,6,8,1] => [8,2,4,3,7,5,6,1] => [2,4,7,1,8,3,5,6] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[2,4,3,8,5,6,7,1] => [7,2,4,3,8,5,6,1] => [2,4,8,1,7,3,5,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,5,3,4,1,6,7,8] => [4,2,5,3,1,6,7,8] => [2,5,4,1,3,6,7,8] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[2,5,3,4,1,7,8,6] => [4,2,5,3,1,8,7,6] => [2,5,4,1,3,7,8,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[2,5,3,4,1,8,7,6] => [4,2,5,3,1,7,8,6] => [2,5,4,1,3,8,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[2,5,3,4,6,1,8,7] => [6,2,5,3,4,1,8,7] => [2,5,6,1,3,4,8,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[2,5,3,4,6,7,1,8] => [7,2,5,3,4,6,1,8] => [2,5,6,1,3,7,4,8] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[2,5,3,4,7,6,1,8] => [6,2,5,3,4,7,1,8] => [2,5,7,1,3,6,4,8] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[2,5,3,4,7,6,8,1] => [8,2,5,3,4,7,6,1] => [2,5,7,1,3,8,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[2,6,3,4,5,1,7,8] => [5,2,6,3,4,1,7,8] => [2,6,5,1,3,4,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[2,6,3,4,5,1,8,7] => [5,2,6,3,4,1,8,7] => [2,6,5,1,3,4,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[2,7,3,4,5,6,1,8] => [6,2,7,3,4,5,1,8] => [2,7,6,1,3,4,5,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[2,7,3,4,5,6,8,1] => [8,2,7,3,4,5,6,1] => [2,7,8,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,8,3,4,5,6,7,1] => [7,2,8,3,4,5,6,1] => [2,8,7,1,3,4,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,3,4,6,7,5,1] => [5,2,7,1,8,4,6,3] => [2,8,7,3,5,1,4,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,5,4,1,8,7] => [4,2,5,6,1,3,8,7] => [2,6,5,4,3,1,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[2,7,3,5,6,4,8,1] => [8,2,7,6,3,5,4,1] => [2,6,7,8,3,1,4,5] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[2,8,3,5,7,6,4,1] => [4,2,6,7,3,8,5,1] => [2,8,7,4,1,6,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,3,6,5,4,7,1] => [7,2,8,5,6,3,4,1] => [2,6,5,8,7,3,1,4] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,8,3,6,5,7,4,1] => [4,2,7,8,6,1,5,3] => [2,7,6,4,8,5,1,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,8,3,7,6,5,4,1] => [4,2,5,6,7,8,1,3] => [2,8,7,4,5,6,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,3,5,6,8,1] => [8,2,4,7,3,5,6,1] => [2,4,8,7,1,3,5,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,7,4,3,6,5,1,8] => [5,2,4,6,7,1,3,8] => [2,6,7,4,5,3,1,8] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[2,8,4,3,6,5,7,1] => [7,2,4,8,6,3,5,1] => [2,6,7,4,8,3,1,5] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[2,8,4,3,6,7,5,1] => [5,2,4,7,8,1,6,3] => [2,7,8,4,5,3,1,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,6,4,5,3,1,8,7] => [3,2,5,6,4,1,8,7] => [2,6,3,5,1,4,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[2,7,4,5,6,3,1,8] => [3,2,6,7,4,5,1,8] => [2,7,3,6,1,4,5,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[2,8,4,5,6,3,7,1] => [7,2,6,8,4,5,3,1] => [2,7,8,6,1,3,4,5] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,8,4,6,5,3,7,1] => [7,2,5,6,8,3,4,1] => [2,6,8,7,5,3,1,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,8,4,7,6,5,3,1] => [3,2,5,6,7,8,4,1] => [2,8,3,7,5,6,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,4,3,6,8,1] => [8,2,4,5,7,3,6,1] => [2,4,8,5,7,1,3,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,8,5,4,3,6,7,1] => [7,2,4,5,8,3,6,1] => [2,4,8,7,5,1,3,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,8,5,4,3,7,6,1] => [6,2,4,5,7,8,1,3] => [2,4,8,7,5,6,3,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,8,5,4,6,3,7,1] => [7,2,6,5,8,4,3,1] => [2,6,7,8,5,1,3,4] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[2,8,5,4,6,7,3,1] => [3,2,7,5,8,4,6,1] => [2,7,3,8,5,1,4,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,8,5,4,7,6,3,1] => [3,2,6,5,7,8,1,4] => [2,7,3,8,5,6,4,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,8,6,4,5,3,7,1] => [7,2,5,6,4,8,3,1] => [2,5,8,7,1,6,3,4] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,8,6,5,4,7,3,1] => [3,2,7,5,6,8,4,1] => [2,5,3,8,7,6,1,4] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,8,7,5,4,6,3,1] => [3,2,6,5,7,4,8,1] => [2,6,3,8,5,1,7,4] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,2,1,4,8,6,7,5] => [2,3,1,4,7,8,6,5] => [3,2,1,4,8,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[3,2,1,7,5,6,4,8] => [2,3,1,6,7,5,4,8] => [3,2,1,7,6,4,5,8] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[3,2,1,8,5,6,7,4] => [2,3,1,7,8,5,6,4] => [3,2,1,8,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,2,1,8,5,7,6,4] => [2,3,1,6,7,8,4,5] => [3,2,1,8,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,2,1,8,6,5,7,4] => [2,3,1,7,6,8,5,4] => [3,2,1,7,8,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[3,2,1,8,6,7,5,4] => [2,3,1,5,7,8,6,4] => [3,2,1,8,5,7,4,6] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,2,4,1,8,6,7,5] => [4,3,2,1,7,8,6,5] => [3,4,1,2,8,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,5,4,8,6,7,1] => [7,3,2,5,4,8,6,1] => [3,5,1,8,2,7,4,6] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[3,2,6,4,5,1,7,8] => [5,3,2,6,4,1,7,8] => [3,6,1,5,2,4,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[3,2,6,4,5,1,8,7] => [5,3,2,6,4,1,8,7] => [3,6,1,5,2,4,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[3,2,7,4,6,5,8,1] => [8,3,2,7,6,4,5,1] => [3,6,1,7,8,4,2,5] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[3,2,8,4,6,5,7,1] => [7,3,2,8,6,4,5,1] => [3,7,1,6,8,4,2,5] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[3,2,7,5,4,6,1,8] => [6,3,2,5,7,4,1,8] => [3,6,1,7,5,2,4,8] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[3,2,8,5,4,6,7,1] => [7,3,2,5,8,4,6,1] => [3,7,1,8,5,2,4,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[3,2,8,5,4,7,6,1] => [6,3,2,5,7,8,1,4] => [3,7,1,8,5,6,4,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[3,2,7,5,6,4,8,1] => [8,3,2,6,7,5,4,1] => [3,6,1,8,7,2,4,5] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[3,2,8,5,6,4,7,1] => [7,3,2,6,8,5,4,1] => [3,7,1,8,6,2,4,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[3,2,8,5,7,6,4,1] => [4,3,2,6,7,8,1,5] => [3,8,1,4,7,6,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,8,6,5,4,7,1] => [7,3,2,5,6,8,4,1] => [3,5,1,8,7,6,2,4] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[4,2,3,1,5,6,8,7] => [3,4,2,1,5,6,8,7] => [4,3,1,2,5,6,8,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[4,2,3,1,6,5,8,7] => [3,4,2,1,6,5,8,7] => [4,3,1,2,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[4,2,3,1,6,7,8,5] => [3,4,2,1,8,6,7,5] => [4,3,1,2,6,7,8,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[4,2,3,1,6,8,7,5] => [3,4,2,1,7,6,8,5] => [4,3,1,2,6,8,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[4,2,3,1,7,6,8,5] => [3,4,2,1,8,7,6,5] => [4,3,1,2,7,8,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[4,2,3,1,8,6,7,5] => [3,4,2,1,7,8,6,5] => [4,3,1,2,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,2,3,1,8,7,6,5] => [3,4,2,1,6,7,8,5] => [4,3,1,2,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,2,3,5,1,8,7,6] => [5,4,2,3,1,7,8,6] => [4,5,1,2,3,8,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[4,2,3,5,6,1,8,7] => [6,4,2,3,5,1,8,7] => [4,5,1,2,6,3,8,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[4,2,3,5,6,8,7,1] => [7,4,2,3,5,6,8,1] => [4,5,1,2,6,8,7,3] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[4,2,3,5,7,6,1,8] => [6,4,2,3,5,7,1,8] => [4,5,1,2,7,6,3,8] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[4,2,3,5,7,6,8,1] => [8,4,2,3,5,7,6,1] => [4,5,1,2,7,8,3,6] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[4,2,3,7,5,6,8,1] => [8,4,2,3,7,5,6,1] => [4,7,1,2,8,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,2,3,8,5,7,6,1] => [6,4,2,3,7,8,1,5] => [4,8,1,2,7,6,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,7,6,5,1,8] => [5,4,2,3,6,7,1,8] => [4,7,1,2,5,6,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[4,2,3,7,6,5,8,1] => [8,4,2,3,6,7,5,1] => [4,6,1,2,8,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[4,2,3,8,6,5,7,1] => [7,4,2,3,6,8,5,1] => [4,7,1,2,8,6,3,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,2,3,8,6,7,5,1] => [5,4,2,3,7,8,6,1] => [4,8,1,2,5,7,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,8,7,6,5,1] => [5,4,2,3,6,7,8,1] => [4,8,1,2,5,6,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,4,1,7,8,6] => [4,5,2,3,1,8,7,6] => [5,4,1,2,3,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[5,2,3,4,1,8,7,6] => [4,5,2,3,1,7,8,6] => [5,4,1,2,3,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,2,3,4,8,6,7,1] => [7,5,2,3,4,8,6,1] => [5,8,1,2,3,7,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,3,4,5,8,7,1] => [7,6,2,3,4,5,8,1] => [6,8,1,2,3,4,7,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,3,4,5,7,6,1] => [6,7,1,3,4,8,5,2] => [8,7,2,1,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,6,7,5,1] => [5,7,1,3,8,4,6,2] => [8,7,2,1,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,5,4,1,7,8] => [4,5,1,6,3,2,7,8] => [6,5,2,4,1,3,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,2,3,5,4,1,8,7] => [4,5,1,6,3,2,8,7] => [6,5,2,4,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,2,3,5,6,4,8,1] => [8,7,2,6,3,5,4,1] => [6,7,1,8,3,2,4,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,2,3,5,6,4,7,1] => [7,8,2,6,3,5,4,1] => [7,6,1,8,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,3,5,7,6,4,1] => [4,6,2,7,3,8,5,1] => [8,7,1,4,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,6,5,7,4,1] => [4,7,1,8,6,3,5,2] => [7,6,2,4,8,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,2,3,7,5,6,4,1] => [4,6,1,8,7,5,3,2] => [8,6,2,4,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,3,1,6,7,8] => [3,4,5,1,2,6,7,8] => [5,4,3,2,1,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[5,2,4,3,1,6,8,7] => [3,4,5,1,2,6,8,7] => [5,4,3,2,1,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[5,2,4,3,1,7,8,6] => [3,4,5,1,2,8,7,6] => [5,4,3,2,1,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[5,2,4,3,1,8,7,6] => [3,4,5,1,2,7,8,6] => [5,4,3,2,1,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,2,4,3,6,1,8,7] => [6,5,4,2,3,1,8,7] => [4,5,6,2,1,3,8,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[5,2,4,3,6,7,1,8] => [7,5,4,2,3,6,1,8] => [4,5,6,2,1,7,3,8] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[5,2,4,3,6,7,8,1] => [8,5,4,2,3,6,7,1] => [4,5,6,2,1,7,8,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[5,2,4,3,7,6,8,1] => [8,5,4,2,3,7,6,1] => [4,5,7,2,1,8,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[5,2,4,3,8,7,6,1] => [6,5,4,2,3,7,8,1] => [4,5,8,2,1,6,7,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[6,2,4,3,5,1,8,7] => [5,6,4,2,3,1,8,7] => [5,4,6,2,1,3,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[8,2,4,3,5,6,7,1] => [7,8,4,2,3,5,6,1] => [7,4,8,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,4,3,6,5,8,1] => [8,7,4,2,6,3,5,1] => [4,6,7,2,8,3,1,5] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[8,2,4,3,6,5,7,1] => [7,8,4,2,6,3,5,1] => [6,4,7,2,8,3,1,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,2,4,3,7,6,5,1] => [5,6,4,2,7,8,3,1] => [7,4,8,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,2,4,5,3,1,7,8] => [3,5,6,1,4,2,7,8] => [6,5,3,2,1,4,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,2,4,5,3,7,8,1] => [8,6,5,2,4,3,7,1] => [5,6,7,2,1,3,8,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[7,2,4,5,3,6,8,1] => [8,7,5,2,4,3,6,1] => [5,7,8,2,1,3,4,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,2,4,5,3,7,6,1] => [6,7,5,1,4,8,3,2] => [7,5,8,3,1,6,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,4,5,6,3,8,1] => [8,7,6,2,4,5,3,1] => [6,7,8,2,1,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,2,4,5,7,6,3,1] => [3,6,7,2,4,8,5,1] => [8,7,3,1,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,6,5,3,1,8] => [3,5,6,2,7,4,1,8] => [7,6,3,1,5,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,2,4,6,5,3,7,1] => [7,8,5,2,6,4,3,1] => [6,5,8,2,7,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,4,7,5,6,3,1] => [3,6,8,1,7,5,4,2] => [8,6,3,2,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,7,6,5,3,1] => [3,5,6,1,7,8,4,2] => [8,7,3,2,5,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,4,3,1,8,7] => [3,4,5,6,2,1,8,7] => [6,5,3,4,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,2,5,4,3,7,1,8] => [7,6,4,5,2,3,1,8] => [4,5,7,6,2,1,3,8] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[6,2,5,4,3,8,7,1] => [7,6,4,5,2,3,8,1] => [4,5,8,6,2,1,7,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,2,5,4,3,7,6,1] => [6,7,4,5,1,8,3,2] => [5,4,8,7,3,6,1,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,2,5,4,6,3,8,1] => [8,7,6,5,2,4,3,1] => [5,6,7,8,3,1,2,4] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[8,2,5,4,6,3,7,1] => [7,8,6,5,2,4,3,1] => [6,5,7,8,3,1,2,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,2,5,4,6,7,3,1] => [3,7,8,5,1,4,6,2] => [7,5,3,8,4,1,2,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,6,4,5,3,8,1] => [8,7,5,6,4,2,3,1] => [5,6,8,7,1,3,2,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[8,2,6,4,5,7,3,1] => [3,7,8,6,4,1,5,2] => [7,6,3,8,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,7,4,6,5,3,1] => [3,5,6,8,7,2,4,1] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,5,4,3,1,8] => [3,4,5,6,7,1,2,8] => [7,6,3,4,5,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,2,6,5,4,7,3,1] => [3,7,8,5,6,1,4,2] => [6,5,3,8,7,4,1,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,2,7,5,4,6,3,1] => [3,6,8,5,7,4,1,2] => [7,5,3,8,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,7,6,5,4,3,1] => [3,4,5,6,7,8,2,1] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,8,6,7,5] => [2,3,4,1,7,8,6,5] => [4,2,3,1,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,3,2,7,5,6,8,1] => [8,3,4,2,7,5,6,1] => [3,7,4,1,8,2,5,6] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[4,3,2,8,5,6,7,1] => [7,3,4,2,8,5,6,1] => [3,8,4,1,7,2,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,8,5,7,6,1] => [6,3,4,2,7,8,1,5] => [3,8,4,1,7,6,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,8,6,5,7,1] => [7,3,4,2,6,8,5,1] => [3,7,4,1,8,6,2,5] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[5,3,2,4,1,6,8,7] => [4,3,5,2,1,6,8,7] => [4,5,3,1,2,6,8,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[5,3,2,4,6,1,8,7] => [6,3,5,2,4,1,8,7] => [3,6,5,1,2,4,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[6,3,2,4,5,1,8,7] => [5,3,6,2,4,1,8,7] => [5,6,3,1,2,4,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[8,3,2,4,6,5,7,1] => [7,3,8,2,6,4,5,1] => [6,7,3,1,8,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[8,3,2,4,6,7,5,1] => [5,3,7,1,8,4,6,2] => [7,8,3,2,5,1,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,2,4,7,6,5,1] => [5,3,6,2,7,8,4,1] => [7,8,3,1,5,6,2,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,3,2,5,4,1,7,8] => [4,3,5,6,1,2,7,8] => [5,6,3,4,2,1,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[6,3,2,5,4,1,8,7] => [4,3,5,6,1,2,8,7] => [5,6,3,4,2,1,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[7,3,2,5,4,6,1,8] => [6,3,7,5,2,4,1,8] => [5,6,3,7,2,1,4,8] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[7,3,2,5,4,6,8,1] => [8,3,7,5,2,4,6,1] => [3,7,5,8,2,1,4,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[8,3,2,5,4,6,7,1] => [7,3,8,5,2,4,6,1] => [5,7,3,8,2,1,4,6] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[8,3,2,5,4,7,6,1] => [6,3,7,5,1,8,4,2] => [5,7,3,8,4,6,1,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[8,3,2,5,7,6,4,1] => [4,3,6,7,2,8,5,1] => [7,8,3,4,1,6,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,2,6,5,4,8,1] => [8,3,7,5,6,2,4,1] => [3,6,5,8,7,2,1,4] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[8,3,2,6,5,4,7,1] => [7,3,8,5,6,2,4,1] => [5,6,3,8,7,2,1,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[8,3,2,6,5,7,4,1] => [4,3,7,8,6,1,5,2] => [6,7,3,4,8,5,1,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[8,3,2,7,5,6,4,1] => [4,3,6,8,7,5,1,2] => [6,8,3,4,7,1,5,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,2,7,6,5,4,1] => [4,3,5,6,7,8,1,2] => [7,8,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,3,4,2,1,7,8,6] => [2,4,5,3,1,8,7,6] => [5,2,4,1,3,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[5,3,4,2,1,8,7,6] => [2,4,5,3,1,7,8,6] => [5,2,4,1,3,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,3,4,2,6,1,8,7] => [6,4,5,3,2,1,8,7] => [4,6,5,1,2,3,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[5,3,4,2,7,6,8,1] => [8,4,5,3,2,7,6,1] => [4,7,5,1,2,8,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[5,3,4,2,8,6,7,1] => [7,4,5,3,2,8,6,1] => [4,8,5,1,2,7,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,5,1,8,7] => [5,4,6,3,2,1,8,7] => [5,6,4,1,2,3,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[7,3,4,2,6,5,8,1] => [8,4,7,3,6,2,5,1] => [4,7,6,1,8,3,2,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,3,4,2,6,5,7,1] => [7,4,8,3,6,2,5,1] => [6,7,4,1,8,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[6,3,4,5,2,1,8,7] => [2,5,6,3,4,1,8,7] => [6,2,5,1,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,3,4,6,5,2,1,8] => [2,5,6,1,7,4,3,8] => [7,2,6,3,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,3,4,6,5,2,8,1] => [8,5,6,2,7,4,3,1] => [5,8,7,2,6,1,3,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,3,4,6,5,2,7,1] => [7,5,6,2,8,4,3,1] => [6,8,7,2,5,1,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,4,6,5,7,2,1] => [2,7,8,3,6,4,5,1] => [7,2,6,1,8,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,3,5,4,2,1,7,8] => [2,4,5,6,1,3,7,8] => [6,2,5,4,3,1,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,3,5,4,2,1,8,7] => [2,4,5,6,1,3,8,7] => [6,2,5,4,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,3,5,4,2,7,1,8] => [7,4,5,6,2,3,1,8] => [4,7,6,5,2,1,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[7,3,5,4,6,2,8,1] => [8,6,7,5,3,4,2,1] => [5,7,6,8,2,1,3,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[8,3,5,4,6,2,7,1] => [7,6,8,5,3,4,2,1] => [6,7,5,8,2,1,3,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,3,6,4,5,2,8,1] => [8,5,7,6,4,3,2,1] => [5,8,6,7,1,2,3,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,3,6,4,5,2,7,1] => [7,5,8,6,4,3,2,1] => [6,8,5,7,1,2,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,7,4,5,6,2,1] => [2,6,8,7,4,5,3,1] => [8,2,6,7,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,4,6,5,2,1] => [2,5,6,8,7,1,4,3] => [8,2,7,5,6,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,5,4,2,8,1] => [8,4,5,6,7,3,2,1] => [4,8,7,5,6,1,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,3,6,5,4,2,7,1] => [7,4,5,6,8,3,2,1] => [4,8,7,6,5,1,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,3,6,5,4,7,2,1] => [2,7,8,5,6,3,4,1] => [6,2,5,8,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,3,7,5,4,6,2,1] => [2,6,8,5,7,4,3,1] => [7,2,5,8,6,1,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,3,7,5,6,4,2,1] => [2,4,6,8,7,5,1,3] => [8,2,6,4,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,6,5,4,2,1] => [2,4,5,6,7,8,1,3] => [8,2,7,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,2,5,7,6,1] => [6,3,4,7,1,8,5,2] => [3,8,7,4,2,6,1,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,6,5,8,1] => [8,3,4,7,6,2,5,1] => [3,7,4,6,8,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[8,4,3,2,6,5,7,1] => [7,3,4,8,6,2,5,1] => [3,7,6,4,8,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[8,4,3,2,7,6,5,1] => [5,3,4,6,7,8,2,1] => [3,8,7,4,5,6,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,3,5,2,7,6,1] => [6,5,4,7,1,8,2,3] => [5,7,8,4,3,6,2,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,4,3,5,7,6,2,1] => [2,6,4,7,1,8,5,3] => [7,2,8,4,3,6,1,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,4,3,6,5,2,1,8] => [2,5,4,6,7,1,3,8] => [6,2,7,4,5,3,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[8,4,3,7,5,6,2,1] => [2,6,4,8,7,5,3,1] => [6,2,8,4,7,1,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,4,3,7,6,5,2,1] => [2,5,4,6,7,8,3,1] => [7,2,8,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,3,4,2,1,8,7] => [2,4,5,3,6,1,8,7] => [6,2,4,1,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[8,5,3,4,2,7,6,1] => [6,4,5,1,7,8,2,3] => [4,8,7,3,5,6,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,3,4,7,6,2,1] => [2,6,5,1,7,8,4,3] => [7,2,8,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,7,3,4,6,5,2,1] => [2,5,6,1,7,4,8,3] => [8,2,6,3,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,5,4,2,1,8] => [2,4,5,6,1,7,3,8] => [7,2,5,4,3,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,7,3,5,6,4,2,1] => [2,4,6,7,1,5,8,3] => [8,2,6,4,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,6,5,4,2,1] => [2,4,5,6,7,3,8,1] => [8,2,6,4,5,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,3,2,7,6,1] => [6,3,4,5,7,8,1,2] => [3,8,4,7,5,6,2,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,4,3,6,5,2,1] => [2,5,4,6,7,1,8,3] => [6,2,8,4,5,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,4,6,5,3,2,1] => [2,3,5,6,7,1,8,4] => [8,2,3,6,5,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,3,6,5,8,7] => [4,2,1,3,6,5,8,7] => [2,4,1,3,6,5,8,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[2,1,4,6,3,5,8,7] => [2,1,6,4,3,5,8,7] => [2,1,4,6,3,5,8,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[2,4,1,6,3,5,8,7] => [4,2,6,1,3,5,8,7] => [2,6,4,3,1,5,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[2,4,6,1,3,5,8,7] => [6,2,1,4,3,5,8,7] => [2,4,1,6,3,5,8,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[2,1,4,3,6,8,5,7] => [2,1,4,3,8,6,5,7] => [2,1,4,3,6,8,5,7] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[2,4,1,3,6,8,5,7] => [4,2,1,3,8,6,5,7] => [2,4,1,3,6,8,5,7] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[2,1,4,6,3,8,5,7] => [2,1,6,4,8,3,5,7] => [2,1,4,8,6,5,3,7] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,4,6,1,3,8,5,7] => [6,2,1,4,8,3,5,7] => [2,4,1,8,6,5,3,7] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,1,4,6,8,3,5,7] => [2,1,8,4,3,6,5,7] => [2,1,4,6,3,8,5,7] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,1,6,8,3,5,7] => [4,2,8,1,3,6,5,7] => [2,6,4,3,1,8,5,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[2,4,6,1,8,3,5,7] => [6,2,8,4,3,1,5,7] => [2,6,4,8,1,5,3,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,4,6,8,1,3,5,7] => [8,2,1,4,3,6,5,7] => [2,4,1,6,3,8,5,7] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[2,4,1,3,6,5,7,8] => [4,2,1,3,6,5,7,8] => [2,4,1,3,6,5,7,8] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[2,1,4,6,3,5,7,8] => [2,1,6,4,3,5,7,8] => [2,1,4,6,3,5,7,8] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[2,4,1,6,3,5,7,8] => [4,2,6,1,3,5,7,8] => [2,6,4,3,1,5,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[2,4,6,1,3,5,7,8] => [6,2,1,4,3,5,7,8] => [2,4,1,6,3,5,7,8] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[2,4,6,7,1,3,5,8] => [7,2,1,4,3,6,5,8] => [2,4,1,6,3,7,5,8] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[2,4,1,3,6,7,8,5] => [4,2,1,3,8,6,7,5] => [2,4,1,3,6,7,8,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[2,1,4,6,3,7,8,5] => [2,1,6,4,8,3,7,5] => [2,1,4,7,6,5,8,3] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[2,4,1,6,3,7,8,5] => [4,2,6,1,8,3,7,5] => [2,7,4,3,6,5,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,4,6,1,7,3,8,5] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,4,6,7,1,8,3,5] => [7,2,8,4,3,6,1,5] => [2,6,4,7,1,8,5,3] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[2,1,4,3,7,5,8,6] => [2,1,4,3,7,8,5,6] => [2,1,4,3,8,7,6,5] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,4,1,3,7,5,8,6] => [4,2,1,3,7,8,5,6] => [2,4,1,3,8,7,6,5] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[2,1,4,7,3,5,8,6] => [2,1,7,4,3,8,5,6] => [2,1,4,8,3,7,6,5] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,4,1,7,3,5,8,6] => [4,2,7,1,3,8,5,6] => [2,8,4,3,1,7,6,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,3,7,8,5,6] => [2,1,4,3,8,5,7,6] => [2,1,4,3,7,5,8,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[2,4,1,3,7,8,5,6] => [4,2,1,3,8,5,7,6] => [2,4,1,3,7,5,8,6] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[2,1,4,7,3,8,5,6] => [2,1,7,4,8,5,3,6] => [2,1,4,8,7,3,6,5] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,4,7,8,3,5,6] => [2,1,8,4,3,5,7,6] => [2,1,4,7,3,5,8,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[2,4,7,8,1,3,5,6] => [8,2,1,4,3,5,7,6] => [2,4,1,7,3,5,8,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[2,4,1,5,3,7,6,8] => [4,2,5,1,3,7,6,8] => [2,5,4,3,1,7,6,8] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[2,4,5,1,3,7,6,8] => [5,2,1,4,3,7,6,8] => [2,4,1,5,3,7,6,8] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[2,4,1,3,5,7,8,6] => [4,2,1,3,5,8,7,6] => [2,4,1,3,5,7,8,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[2,4,1,5,3,7,8,6] => [4,2,5,1,3,8,7,6] => [2,5,4,3,1,7,8,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[2,4,5,1,3,7,8,6] => [5,2,1,4,3,8,7,6] => [2,4,1,5,3,7,8,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[2,1,4,5,7,3,8,6] => [2,1,7,4,5,8,3,6] => [2,1,4,5,8,7,6,3] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[2,4,1,5,7,3,8,6] => [4,2,7,1,5,8,3,6] => [2,5,4,3,8,7,6,1] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[2,4,5,1,7,3,8,6] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,4,5,7,1,3,8,6] => [7,2,1,4,5,8,3,6] => [2,4,1,5,8,7,6,3] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[2,1,4,5,7,8,3,6] => [2,1,8,4,5,3,7,6] => [2,1,4,5,7,3,8,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[2,4,5,1,7,8,3,6] => [5,2,8,4,1,3,7,6] => [2,5,4,7,3,1,8,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[2,4,5,7,1,8,3,6] => [7,2,8,4,5,3,1,6] => [2,5,4,7,8,1,6,3] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[2,1,4,3,8,5,6,7] => [2,1,4,3,8,5,6,7] => [2,1,4,3,8,5,6,7] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,4,1,3,8,5,6,7] => [4,2,1,3,8,5,6,7] => [2,4,1,3,8,5,6,7] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[2,4,1,8,3,5,6,7] => [4,2,8,1,3,5,6,7] => [2,8,4,3,1,5,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,3,5,8,6,7] => [2,1,4,3,5,8,6,7] => [2,1,4,3,5,8,6,7] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[2,4,1,5,3,8,6,7] => [4,2,5,1,3,8,6,7] => [2,5,4,3,1,8,6,7] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[2,1,4,5,8,3,6,7] => [2,1,8,4,5,3,6,7] => [2,1,4,5,8,3,6,7] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[2,4,1,5,8,3,6,7] => [4,2,8,1,5,3,6,7] => [2,5,4,3,8,1,6,7] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[2,4,5,1,8,3,6,7] => [5,2,8,4,1,3,6,7] => [2,5,4,8,3,1,6,7] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,4,1,5,3,6,8,7] => [4,2,5,1,3,6,8,7] => [2,5,4,3,1,6,8,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[2,4,1,5,6,3,8,7] => [4,2,6,1,5,3,8,7] => [2,5,4,3,6,1,8,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[2,4,1,5,6,8,3,7] => [4,2,8,1,5,6,3,7] => [2,5,4,3,6,8,1,7] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[2,4,1,3,5,6,7,8] => [4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[2,4,1,5,3,6,7,8] => [4,2,5,1,3,6,7,8] => [2,5,4,3,1,6,7,8] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[2,4,5,1,3,6,7,8] => [5,2,1,4,3,6,7,8] => [2,4,1,5,3,6,7,8] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[2,4,5,6,1,3,7,8] => [6,2,1,4,5,3,7,8] => [2,4,1,5,6,3,7,8] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[2,4,1,5,6,7,3,8] => [4,2,7,1,5,6,3,8] => [2,5,4,3,6,7,1,8] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[2,4,5,1,6,7,3,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[2,4,5,6,1,7,3,8] => [6,2,7,4,5,1,3,8] => [2,5,4,6,7,3,1,8] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[2,4,5,6,7,1,3,8] => [7,2,1,4,5,6,3,8] => [2,4,1,5,6,7,3,8] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[2,4,1,5,6,7,8,3] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[2,4,5,1,6,7,8,3] => [5,2,8,4,1,6,7,3] => [2,5,4,6,3,7,8,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[2,4,5,6,1,7,8,3] => [6,2,8,4,5,1,7,3] => [2,5,4,6,7,3,8,1] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[2,4,5,6,7,1,8,3] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[2,4,5,6,7,8,1,3] => [8,2,1,4,5,6,7,3] => [2,4,1,5,6,7,8,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[2,1,5,3,6,4,8,7] => [2,1,5,6,3,4,8,7] => [2,1,6,5,4,3,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,5,1,3,6,4,8,7] => [5,2,1,6,3,4,8,7] => [2,6,1,5,4,3,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[2,1,5,6,3,4,8,7] => [2,1,6,3,5,4,8,7] => [2,1,5,3,6,4,8,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[2,1,5,3,6,8,4,7] => [2,1,5,8,3,6,4,7] => [2,1,6,5,4,8,3,7] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[2,5,1,3,6,8,4,7] => [5,2,1,8,3,6,4,7] => [2,6,1,5,4,8,3,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[2,5,1,6,3,8,4,7] => [5,2,6,8,1,3,4,7] => [2,8,6,5,4,3,1,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,1,8,3,4,7] => [6,2,8,3,5,1,4,7] => [2,6,5,1,8,4,3,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,5,6,8,1,3,4,7] => [8,2,1,3,5,6,4,7] => [2,5,1,3,6,8,4,7] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[2,5,1,3,6,4,7,8] => [5,2,1,6,3,4,7,8] => [2,6,1,5,4,3,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[2,5,1,3,6,7,4,8] => [5,2,1,7,3,6,4,8] => [2,6,1,5,4,7,3,8] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[2,5,1,6,3,7,4,8] => [5,2,6,7,1,3,4,8] => [2,7,6,5,4,3,1,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[2,5,6,1,3,7,4,8] => [6,2,1,7,5,3,4,8] => [2,6,1,5,7,4,3,8] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[2,5,1,3,6,7,8,4] => [5,2,1,8,3,6,7,4] => [2,6,1,5,4,7,8,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[2,1,5,6,3,7,8,4] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[2,5,1,6,3,7,8,4] => [5,2,6,8,1,3,7,4] => [2,7,6,5,4,3,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,5,6,1,3,7,8,4] => [6,2,1,8,5,3,7,4] => [2,6,1,5,7,4,8,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[2,1,5,6,7,3,8,4] => [2,1,7,8,5,6,3,4] => [2,1,6,5,7,8,4,3] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[2,5,1,6,7,3,8,4] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,1,5,6,7,8,3,4] => [2,1,8,3,5,6,7,4] => [2,1,5,3,6,7,8,4] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[2,5,6,7,1,8,3,4] => [7,2,8,3,5,6,1,4] => [2,6,5,1,7,8,4,3] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[2,5,6,7,8,1,3,4] => [8,2,1,3,5,6,7,4] => [2,5,1,3,6,7,8,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[2,1,5,3,7,4,8,6] => [2,1,5,7,3,8,4,6] => [2,1,8,5,4,7,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,3,7,4,8,6] => [5,2,1,7,3,8,4,6] => [2,8,1,5,4,7,6,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,7,3,4,8,6] => [2,1,7,3,5,8,4,6] => [2,1,5,3,8,7,6,4] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[2,5,1,7,3,4,8,6] => [5,2,7,3,1,8,4,6] => [2,8,5,1,4,7,6,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,3,7,8,4,6] => [5,2,1,8,3,4,7,6] => [2,7,1,5,4,3,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,1,5,7,3,8,4,6] => [2,1,7,8,5,4,3,6] => [2,1,7,5,8,3,6,4] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[2,5,1,7,3,8,4,6] => [5,2,7,8,1,4,3,6] => [2,8,7,5,4,1,6,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,7,8,3,4,6] => [2,1,8,3,5,4,7,6] => [2,1,5,3,7,4,8,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[2,5,7,8,1,3,4,6] => [8,2,1,3,5,4,7,6] => [2,5,1,3,7,4,8,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[2,5,1,3,7,4,6,8] => [5,2,1,7,3,4,6,8] => [2,7,1,5,4,3,6,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[2,3,5,1,7,8,4,6] => [5,2,3,8,1,4,7,6] => [2,3,7,5,4,1,8,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,3,5,7,8,1,4,6] => [8,2,3,1,5,4,7,6] => [2,3,5,1,7,4,8,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[2,1,5,3,8,4,6,7] => [2,1,5,8,3,4,6,7] => [2,1,8,5,4,3,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,8,3,4,6,7] => [5,2,8,3,1,4,6,7] => [2,8,5,1,4,3,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,1,4,8,6,7] => [5,2,3,1,4,8,6,7] => [2,3,5,1,4,8,6,7] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[2,1,3,5,8,4,6,7] => [2,1,3,8,5,4,6,7] => [2,1,3,5,8,4,6,7] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,5,1,8,4,6,7] => [5,2,3,8,1,4,6,7] => [2,3,8,5,4,1,6,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,3,4,6,8,7] => [2,1,5,3,4,6,8,7] => [2,1,5,3,4,6,8,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[2,3,5,1,6,4,8,7] => [5,2,3,6,1,4,8,7] => [2,3,6,5,4,1,8,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,3,5,6,1,4,8,7] => [6,2,3,1,5,4,8,7] => [2,3,5,1,6,4,8,7] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[2,3,1,5,6,8,4,7] => [3,2,1,8,5,6,4,7] => [2,3,1,5,6,8,4,7] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[2,3,5,6,8,1,4,7] => [8,2,3,1,5,6,4,7] => [2,3,5,1,6,8,4,7] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[2,1,5,3,4,6,7,8] => [2,1,5,3,4,6,7,8] => [2,1,5,3,4,6,7,8] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[2,5,1,3,4,6,7,8] => [5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[2,3,5,1,4,6,7,8] => [5,2,3,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[2,3,5,1,6,4,7,8] => [5,2,3,6,1,4,7,8] => [2,3,6,5,4,1,7,8] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[2,3,5,6,1,4,7,8] => [6,2,3,1,5,4,7,8] => [2,3,5,1,6,4,7,8] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[2,3,5,6,1,7,4,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[2,3,5,1,6,7,8,4] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[2,3,5,6,7,8,1,4] => [8,2,3,1,5,6,7,4] => [2,3,5,1,6,7,8,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[2,1,6,3,7,4,8,5] => [2,1,6,7,8,3,4,5] => [2,1,8,7,6,5,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,3,7,4,8,5] => [6,2,1,7,8,3,4,5] => [2,8,1,7,6,5,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,3,4,8,5] => [2,1,7,3,8,6,4,5] => [2,1,7,3,6,8,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,6,1,7,3,4,8,5] => [6,2,7,3,8,1,4,5] => [2,8,7,1,6,5,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,1,3,4,8,5] => [7,2,1,3,8,6,4,5] => [2,7,1,3,6,8,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,1,3,7,8,4,5] => [6,2,1,8,4,3,7,5] => [2,7,1,6,3,5,8,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,1,6,7,3,8,4,5] => [2,1,7,8,4,6,3,5] => [2,1,7,6,3,8,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,6,1,7,3,8,4,5] => [6,2,7,8,4,1,3,5] => [2,8,7,6,1,5,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,8,3,4,5] => [2,1,8,3,4,6,7,5] => [2,1,6,3,4,7,8,5] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[2,6,7,1,8,3,4,5] => [7,2,8,3,4,6,1,5] => [2,7,6,1,3,8,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,7,8,1,3,4,5] => [8,2,1,3,4,6,7,5] => [2,6,1,3,4,7,8,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[2,3,1,6,7,4,5,8] => [3,2,1,7,4,6,5,8] => [2,3,1,6,4,7,5,8] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[2,3,6,7,1,4,5,8] => [7,2,3,1,4,6,5,8] => [2,3,6,1,4,7,5,8] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[2,1,6,3,4,7,8,5] => [2,1,6,3,8,4,7,5] => [2,1,7,3,6,5,8,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[2,3,1,6,4,7,8,5] => [3,2,1,6,8,4,7,5] => [2,3,1,7,6,5,8,4] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[2,3,6,1,4,7,8,5] => [6,2,3,1,8,4,7,5] => [2,3,7,1,6,5,8,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,3,1,6,7,4,8,5] => [3,2,1,7,8,6,4,5] => [2,3,1,7,6,8,5,4] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[2,3,6,1,7,4,8,5] => [6,2,3,7,8,1,4,5] => [2,3,8,7,6,5,4,1] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,6,7,1,4,8,5] => [7,2,3,1,8,6,4,5] => [2,3,7,1,6,8,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,3,6,1,7,8,4,5] => [6,2,3,8,4,1,7,5] => [2,3,7,6,1,5,8,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,3,6,7,1,8,4,5] => [7,2,3,8,4,6,1,5] => [2,3,7,6,1,8,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,1,6,3,8,4,5,7] => [2,1,6,8,4,3,5,7] => [2,1,8,6,3,5,4,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,8,1,3,4,5,7] => [8,2,1,3,4,6,5,7] => [2,6,1,3,4,8,5,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[2,6,1,3,4,8,5,7] => [6,2,1,3,8,4,5,7] => [2,8,1,3,6,5,4,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,6,4,8,5,7] => [3,2,1,6,8,4,5,7] => [2,3,1,8,6,5,4,7] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,3,1,6,8,4,5,7] => [3,2,1,8,4,6,5,7] => [2,3,1,6,4,8,5,7] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[2,3,6,8,1,4,5,7] => [8,2,3,1,4,6,5,7] => [2,3,6,1,4,8,5,7] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[2,1,6,3,4,5,8,7] => [2,1,6,3,4,5,8,7] => [2,1,6,3,4,5,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,3,6,4,5,8,7] => [2,1,3,6,4,5,8,7] => [2,1,3,6,4,5,8,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[2,3,6,1,4,5,8,7] => [6,2,3,1,4,5,8,7] => [2,3,6,1,4,5,8,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,3,4,1,6,8,5,7] => [4,2,3,1,8,6,5,7] => [2,3,4,1,6,8,5,7] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[2,3,4,6,1,8,5,7] => [6,2,3,4,8,1,5,7] => [2,3,4,8,6,5,1,7] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,6,1,3,4,5,7,8] => [6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[2,1,3,6,4,5,7,8] => [2,1,3,6,4,5,7,8] => [2,1,3,6,4,5,7,8] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[2,3,1,6,4,5,7,8] => [3,2,1,6,4,5,7,8] => [2,3,1,6,4,5,7,8] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[2,3,6,1,4,5,7,8] => [6,2,3,1,4,5,7,8] => [2,3,6,1,4,5,7,8] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[2,3,4,6,7,1,5,8] => [7,2,3,4,1,6,5,8] => [2,3,4,6,1,7,5,8] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[2,3,4,6,1,7,8,5] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[2,3,4,6,7,1,8,5] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[2,3,4,6,7,8,1,5] => [8,2,3,4,1,6,7,5] => [2,3,4,6,1,7,8,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[2,1,7,3,8,4,5,6] => [2,1,7,8,4,5,3,6] => [2,1,8,7,3,4,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,7,8,1,3,4,5,6] => [8,2,1,3,4,5,7,6] => [2,7,1,3,4,5,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,1,7,3,4,8,5,6] => [2,1,7,3,8,5,4,6] => [2,1,8,3,7,4,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,1,7,4,8,5,6] => [3,2,1,7,8,5,4,6] => [2,3,1,8,7,4,6,5] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,3,1,7,8,4,5,6] => [3,2,1,8,4,5,7,6] => [2,3,1,7,4,5,8,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[2,3,7,8,1,4,5,6] => [8,2,3,1,4,5,7,6] => [2,3,7,1,4,5,8,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,1,7,3,4,5,8,6] => [2,1,7,3,4,8,5,6] => [2,1,8,3,4,7,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,7,4,5,8,6] => [2,1,3,7,4,8,5,6] => [2,1,3,8,4,7,6,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[2,3,1,7,4,5,8,6] => [3,2,1,7,4,8,5,6] => [2,3,1,8,4,7,6,5] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,1,3,4,7,5,8,6] => [2,1,3,4,7,8,5,6] => [2,1,3,4,8,7,6,5] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[2,3,4,1,7,5,8,6] => [4,2,3,1,7,8,5,6] => [2,3,4,1,8,7,6,5] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,4,7,1,5,8,6] => [7,2,3,4,1,8,5,6] => [2,3,4,8,1,7,6,5] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,1,3,4,7,8,5,6] => [2,1,3,4,8,5,7,6] => [2,1,3,4,7,5,8,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,4,1,7,8,5,6] => [4,2,3,1,8,5,7,6] => [2,3,4,1,7,5,8,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[2,3,4,7,1,8,5,6] => [7,2,3,4,8,5,1,6] => [2,3,4,8,7,1,6,5] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,7,8,1,5,6] => [8,2,3,4,1,5,7,6] => [2,3,4,7,1,5,8,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[2,1,7,3,4,5,6,8] => [2,1,7,3,4,5,6,8] => [2,1,7,3,4,5,6,8] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[2,7,1,3,4,5,6,8] => [7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[2,3,7,1,4,5,6,8] => [7,2,3,1,4,5,6,8] => [2,3,7,1,4,5,6,8] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,1,3,4,7,5,6,8] => [2,1,3,4,7,5,6,8] => [2,1,3,4,7,5,6,8] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,4,7,1,5,6,8] => [7,2,3,4,1,5,6,8] => [2,3,4,7,1,5,6,8] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[2,3,4,5,7,1,6,8] => [7,2,3,4,5,1,6,8] => [2,3,4,5,7,1,6,8] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[2,3,4,5,7,1,8,6] => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,7,6,1] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,5,7,8,1,6] => [8,2,3,4,5,1,7,6] => [2,3,4,5,7,1,8,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[2,1,8,3,4,5,6,7] => [2,1,8,3,4,5,6,7] => [2,1,8,3,4,5,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,8,1,3,4,5,6,7] => [8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,8,4,5,6,7] => [2,1,3,8,4,5,6,7] => [2,1,3,8,4,5,6,7] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[2,3,1,8,4,5,6,7] => [3,2,1,8,4,5,6,7] => [2,3,1,8,4,5,6,7] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,3,8,1,4,5,6,7] => [8,2,3,1,4,5,6,7] => [2,3,8,1,4,5,6,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,4,8,5,6,7] => [2,1,3,4,8,5,6,7] => [2,1,3,4,8,5,6,7] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[2,3,1,4,8,5,6,7] => [3,2,1,4,8,5,6,7] => [2,3,1,4,8,5,6,7] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[2,3,4,1,8,5,6,7] => [4,2,3,1,8,5,6,7] => [2,3,4,1,8,5,6,7] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,4,8,1,5,6,7] => [8,2,3,4,1,5,6,7] => [2,3,4,8,1,5,6,7] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,1,3,4,5,8,6,7] => [2,1,3,4,5,8,6,7] => [2,1,3,4,5,8,6,7] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[2,3,1,4,5,8,6,7] => [3,2,1,4,5,8,6,7] => [2,3,1,4,5,8,6,7] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[2,3,4,1,5,8,6,7] => [4,2,3,1,5,8,6,7] => [2,3,4,1,5,8,6,7] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[2,3,4,5,1,8,6,7] => [5,2,3,4,1,8,6,7] => [2,3,4,5,1,8,6,7] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[2,3,4,5,8,1,6,7] => [8,2,3,4,5,1,6,7] => [2,3,4,5,8,1,6,7] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,5,6,8,1,7] => [8,2,3,4,5,6,1,7] => [2,3,4,5,6,8,1,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[3,1,4,2,6,5,8,7] => [3,4,1,2,6,5,8,7] => [4,3,2,1,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[3,4,1,2,6,5,8,7] => [4,1,3,2,6,5,8,7] => [3,1,4,2,6,5,8,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[3,1,4,6,2,5,8,7] => [3,6,1,4,2,5,8,7] => [4,3,2,6,1,5,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[3,4,6,1,2,5,8,7] => [6,1,3,4,2,5,8,7] => [3,1,4,6,2,5,8,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[3,1,4,2,6,8,5,7] => [3,4,1,2,8,6,5,7] => [4,3,2,1,6,8,5,7] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[3,4,1,2,6,8,5,7] => [4,1,3,2,8,6,5,7] => [3,1,4,2,6,8,5,7] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[3,1,4,6,8,2,5,7] => [3,8,1,4,2,6,5,7] => [4,3,2,6,1,8,5,7] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[3,4,1,6,8,2,5,7] => [4,8,3,1,2,6,5,7] => [4,3,6,2,1,8,5,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[3,4,6,8,1,2,5,7] => [8,1,3,4,2,6,5,7] => [3,1,4,6,2,8,5,7] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[3,1,4,2,6,5,7,8] => [3,4,1,2,6,5,7,8] => [4,3,2,1,6,5,7,8] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[3,1,4,2,6,7,5,8] => [3,4,1,2,7,6,5,8] => [4,3,2,1,6,7,5,8] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[3,4,1,6,2,7,5,8] => [4,6,3,1,7,2,5,8] => [4,3,7,2,6,5,1,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[3,4,6,1,2,7,5,8] => [6,1,3,4,7,2,5,8] => [3,1,4,7,6,5,2,8] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[3,1,4,6,7,2,5,8] => [3,7,1,4,2,6,5,8] => [4,3,2,6,1,7,5,8] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[3,4,1,6,7,2,5,8] => [4,7,3,1,2,6,5,8] => [4,3,6,2,1,7,5,8] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[3,1,4,2,6,7,8,5] => [3,4,1,2,8,6,7,5] => [4,3,2,1,6,7,8,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[3,4,1,2,6,7,8,5] => [4,1,3,2,8,6,7,5] => [3,1,4,2,6,7,8,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[3,4,1,6,2,7,8,5] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[3,4,1,6,7,2,8,5] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[3,4,6,1,7,8,2,5] => [6,8,3,4,2,1,7,5] => [4,3,6,7,1,5,8,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[3,4,6,7,1,8,2,5] => [7,8,3,4,2,6,1,5] => [4,3,6,7,1,8,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[3,4,6,7,8,1,2,5] => [8,1,3,4,2,6,7,5] => [3,1,4,6,2,7,8,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[3,1,4,2,7,5,8,6] => [3,4,1,2,7,8,5,6] => [4,3,2,1,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[3,4,1,2,7,5,8,6] => [4,1,3,2,7,8,5,6] => [3,1,4,2,8,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[3,1,4,7,2,5,8,6] => [3,7,1,4,2,8,5,6] => [4,3,2,8,1,7,6,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,4,1,7,2,5,8,6] => [4,7,3,1,2,8,5,6] => [4,3,8,2,1,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,1,4,2,7,8,5,6] => [3,4,1,2,8,5,7,6] => [4,3,2,1,7,5,8,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[3,4,1,2,7,8,5,6] => [4,1,3,2,8,5,7,6] => [3,1,4,2,7,5,8,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[3,4,1,7,2,8,5,6] => [4,7,3,1,8,5,2,6] => [4,3,8,2,7,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,4,1,7,8,2,5,6] => [4,8,3,1,2,5,7,6] => [4,3,7,2,1,5,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[3,4,7,1,8,2,5,6] => [7,8,3,4,2,5,1,6] => [4,3,7,8,1,2,6,5] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[3,4,7,8,1,2,5,6] => [8,1,3,4,2,5,7,6] => [3,1,4,7,2,5,8,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[3,1,4,2,7,5,6,8] => [3,4,1,2,7,5,6,8] => [4,3,2,1,7,5,6,8] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[3,1,4,2,5,7,6,8] => [3,4,1,2,5,7,6,8] => [4,3,2,1,5,7,6,8] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[3,4,5,1,2,7,6,8] => [5,1,3,4,2,7,6,8] => [3,1,4,5,2,7,6,8] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[3,1,4,5,7,2,6,8] => [3,7,1,4,5,2,6,8] => [4,3,2,5,7,1,6,8] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[3,4,5,1,7,2,6,8] => [5,7,3,4,1,2,6,8] => [4,3,5,7,2,1,6,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[3,1,4,2,5,7,8,6] => [3,4,1,2,5,8,7,6] => [4,3,2,1,5,7,8,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[3,1,4,5,2,7,8,6] => [3,5,1,4,2,8,7,6] => [4,3,2,5,1,7,8,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[3,4,5,1,2,7,8,6] => [5,1,3,4,2,8,7,6] => [3,1,4,5,2,7,8,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[3,1,4,2,8,5,6,7] => [3,4,1,2,8,5,6,7] => [4,3,2,1,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[3,4,1,2,8,5,6,7] => [4,1,3,2,8,5,6,7] => [3,1,4,2,8,5,6,7] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[3,1,4,2,5,8,6,7] => [3,4,1,2,5,8,6,7] => [4,3,2,1,5,8,6,7] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[3,4,1,5,2,8,6,7] => [4,5,3,1,2,8,6,7] => [4,3,5,2,1,8,6,7] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[3,4,5,1,8,2,6,7] => [5,8,3,4,1,2,6,7] => [4,3,5,8,2,1,6,7] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[3,4,5,8,1,2,6,7] => [8,1,3,4,5,2,6,7] => [3,1,4,5,8,2,6,7] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[3,1,4,2,5,6,8,7] => [3,4,1,2,5,6,8,7] => [4,3,2,1,5,6,8,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[3,4,1,5,2,6,8,7] => [4,5,3,1,2,6,8,7] => [4,3,5,2,1,6,8,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[3,1,4,5,6,2,8,7] => [3,6,1,4,5,2,8,7] => [4,3,2,5,6,1,8,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[3,4,1,5,6,2,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[3,4,5,1,6,2,8,7] => [5,6,3,4,1,2,8,7] => [4,3,5,6,2,1,8,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[3,1,4,5,6,8,2,7] => [3,8,1,4,5,6,2,7] => [4,3,2,5,6,8,1,7] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[3,4,5,1,6,8,2,7] => [5,8,3,4,1,6,2,7] => [4,3,5,6,2,8,1,7] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[3,1,4,2,5,6,7,8] => [3,4,1,2,5,6,7,8] => [4,3,2,1,5,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[3,1,4,5,2,6,7,8] => [3,5,1,4,2,6,7,8] => [4,3,2,5,1,6,7,8] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[3,1,4,5,6,2,7,8] => [3,6,1,4,5,2,7,8] => [4,3,2,5,6,1,7,8] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[3,4,1,5,6,2,7,8] => [4,6,3,1,5,2,7,8] => [4,3,5,2,6,1,7,8] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[3,1,4,5,6,7,2,8] => [3,7,1,4,5,6,2,8] => [4,3,2,5,6,7,1,8] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[3,4,5,1,6,7,2,8] => [5,7,3,4,1,6,2,8] => [4,3,5,6,2,7,1,8] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[3,1,4,5,6,7,8,2] => [3,8,1,4,5,6,7,2] => [4,3,2,5,6,7,8,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,4,1,5,6,7,8,2] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[3,4,5,1,6,7,8,2] => [5,8,3,4,1,6,7,2] => [4,3,5,6,2,7,8,1] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[3,4,5,6,7,1,8,2] => [7,8,3,4,5,6,1,2] => [4,3,5,6,7,8,2,1] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[3,1,5,2,6,4,8,7] => [3,5,1,6,2,4,8,7] => [6,3,2,5,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,5,1,2,6,4,8,7] => [5,1,3,6,2,4,8,7] => [3,1,6,5,4,2,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[3,5,1,6,2,4,8,7] => [5,6,3,2,1,4,8,7] => [5,3,6,1,4,2,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[3,5,6,1,2,4,8,7] => [6,1,3,2,5,4,8,7] => [3,1,5,2,6,4,8,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[3,1,5,2,6,8,4,7] => [3,5,1,8,2,6,4,7] => [6,3,2,5,4,8,1,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,5,1,2,6,8,4,7] => [5,1,3,8,2,6,4,7] => [3,1,6,5,4,8,2,7] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[3,1,5,6,2,8,4,7] => [3,6,1,8,5,2,4,7] => [6,3,2,5,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,1,5,6,8,2,4,7] => [3,8,1,2,5,6,4,7] => [5,3,2,1,6,8,4,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[3,5,1,6,8,2,4,7] => [5,8,3,2,1,6,4,7] => [5,3,6,1,4,8,2,7] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[3,5,6,1,8,2,4,7] => [6,8,3,2,5,1,4,7] => [5,3,6,1,8,4,2,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[3,5,6,8,1,2,4,7] => [8,1,3,2,5,6,4,7] => [3,1,5,2,6,8,4,7] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[3,1,5,2,6,4,7,8] => [3,5,1,6,2,4,7,8] => [6,3,2,5,4,1,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[3,5,1,2,6,4,7,8] => [5,1,3,6,2,4,7,8] => [3,1,6,5,4,2,7,8] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[3,5,1,6,2,4,7,8] => [5,6,3,2,1,4,7,8] => [5,3,6,1,4,2,7,8] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[3,5,1,2,6,7,4,8] => [5,1,3,7,2,6,4,8] => [3,1,6,5,4,7,2,8] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[3,1,5,6,2,7,4,8] => [3,6,1,7,5,2,4,8] => [6,3,2,5,7,4,1,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[3,1,5,6,7,2,4,8] => [3,7,1,2,5,6,4,8] => [5,3,2,1,6,7,4,8] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[3,5,1,6,7,2,4,8] => [5,7,3,2,1,6,4,8] => [5,3,6,1,4,7,2,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[3,1,5,6,2,7,8,4] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[3,5,1,6,2,7,8,4] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[3,5,6,1,2,7,8,4] => [6,1,3,8,5,2,7,4] => [3,1,6,5,7,4,8,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[3,5,6,1,7,2,8,4] => [6,7,3,8,5,1,2,4] => [6,3,7,5,8,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[3,5,6,7,1,2,8,4] => [7,1,3,8,5,6,2,4] => [3,1,6,5,7,8,4,2] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[3,1,5,6,7,8,2,4] => [3,8,1,2,5,6,7,4] => [5,3,2,1,6,7,8,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[3,5,1,6,7,8,2,4] => [5,8,3,2,1,6,7,4] => [5,3,6,1,4,7,8,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[3,5,6,1,7,8,2,4] => [6,8,3,2,5,1,7,4] => [5,3,6,1,7,4,8,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[3,5,6,7,1,8,2,4] => [7,8,3,2,5,6,1,4] => [5,3,6,1,7,8,4,2] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[3,5,6,7,8,1,2,4] => [8,1,3,2,5,6,7,4] => [3,1,5,2,6,7,8,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[3,1,5,2,7,4,8,6] => [3,5,1,7,2,8,4,6] => [8,3,2,5,4,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,2,7,4,8,6] => [5,1,3,7,2,8,4,6] => [3,1,8,5,4,7,6,2] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,7,2,4,8,6] => [3,7,1,2,5,8,4,6] => [5,3,2,1,8,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[3,5,7,1,2,4,8,6] => [7,1,3,2,5,8,4,6] => [3,1,5,2,8,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[3,1,5,2,7,8,4,6] => [3,5,1,8,2,4,7,6] => [7,3,2,5,4,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,5,1,2,7,8,4,6] => [5,1,3,8,2,4,7,6] => [3,1,7,5,4,2,8,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[3,5,1,7,2,8,4,6] => [5,7,3,8,1,4,2,6] => [7,3,8,5,4,1,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,5,7,1,2,8,4,6] => [7,1,3,8,5,4,2,6] => [3,1,7,5,8,2,6,4] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[3,1,5,7,8,2,4,6] => [3,8,1,2,5,4,7,6] => [5,3,2,1,7,4,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[3,5,1,7,8,2,4,6] => [5,8,3,2,1,4,7,6] => [5,3,7,1,4,2,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[3,5,7,8,1,2,4,6] => [8,1,3,2,5,4,7,6] => [3,1,5,2,7,4,8,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[3,1,5,2,7,4,6,8] => [3,5,1,7,2,4,6,8] => [7,3,2,5,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,5,1,2,7,4,6,8] => [5,1,3,7,2,4,6,8] => [3,1,7,5,4,2,6,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[3,1,5,7,2,4,6,8] => [3,7,1,2,5,4,6,8] => [5,3,2,1,7,4,6,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[3,5,1,7,2,4,6,8] => [5,7,3,2,1,4,6,8] => [5,3,7,1,4,2,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[3,5,7,1,2,4,6,8] => [7,1,3,2,5,4,6,8] => [3,1,5,2,7,4,6,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[3,1,5,2,4,7,6,8] => [3,5,1,2,4,7,6,8] => [5,3,2,1,4,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[3,5,1,2,4,7,6,8] => [5,1,3,2,4,7,6,8] => [3,1,5,2,4,7,6,8] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[3,1,2,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,3,5,2,4,7,6,8] => [1,5,3,2,4,7,6,8] => [1,3,5,2,4,7,6,8] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[3,1,2,5,7,4,6,8] => [3,1,2,7,5,4,6,8] => [3,1,2,5,7,4,6,8] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,3,2,5,7,4,6,8] => [1,3,2,7,5,4,6,8] => [1,3,2,5,7,4,6,8] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,3,5,2,7,4,6,8] => [1,5,3,7,2,4,6,8] => [1,3,7,5,4,2,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => [1,3,5,2,7,4,6,8] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[3,1,5,2,4,7,8,6] => [3,5,1,2,4,8,7,6] => [5,3,2,1,4,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[3,5,1,2,4,7,8,6] => [5,1,3,2,4,8,7,6] => [3,1,5,2,4,7,8,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,3,5,2,4,7,8,6] => [1,5,3,2,4,8,7,6] => [1,3,5,2,4,7,8,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,3,2,5,7,4,8,6] => [1,3,2,7,5,8,4,6] => [1,3,2,5,8,7,6,4] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,3,5,2,7,4,8,6] => [1,5,3,7,2,8,4,6] => [1,3,8,5,4,7,6,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,5,7,2,4,8,6] => [1,7,3,2,5,8,4,6] => [1,3,5,2,8,7,6,4] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[3,1,2,5,7,8,4,6] => [3,1,2,8,5,4,7,6] => [3,1,2,5,7,4,8,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,3,2,5,7,8,4,6] => [1,3,2,8,5,4,7,6] => [1,3,2,5,7,4,8,6] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,3,5,2,7,8,4,6] => [1,5,3,8,2,4,7,6] => [1,3,7,5,4,2,8,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,3,5,7,2,8,4,6] => [1,7,3,8,5,4,2,6] => [1,3,7,5,8,2,6,4] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,3,5,7,8,2,4,6] => [1,8,3,2,5,4,7,6] => [1,3,5,2,7,4,8,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[3,1,5,2,8,4,6,7] => [3,5,1,8,2,4,6,7] => [8,3,2,5,4,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,2,8,4,6,7] => [5,1,3,8,2,4,6,7] => [3,1,8,5,4,2,6,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,5,8,1,2,4,6,7] => [8,1,3,2,5,4,6,7] => [3,1,5,2,8,4,6,7] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[3,1,5,2,4,8,6,7] => [3,5,1,2,4,8,6,7] => [5,3,2,1,4,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[3,5,1,2,4,8,6,7] => [5,1,3,2,4,8,6,7] => [3,1,5,2,4,8,6,7] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,3,5,2,4,8,6,7] => [1,5,3,2,4,8,6,7] => [1,3,5,2,4,8,6,7] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => [1,3,2,5,8,4,6,7] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => [1,3,8,5,4,2,6,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => [1,3,5,2,8,4,6,7] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[3,1,5,2,4,6,8,7] => [3,5,1,2,4,6,8,7] => [5,3,2,1,4,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[3,5,1,2,4,6,8,7] => [5,1,3,2,4,6,8,7] => [3,1,5,2,4,6,8,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[3,1,2,5,4,6,8,7] => [3,1,2,5,4,6,8,7] => [3,1,2,5,4,6,8,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,3,5,2,4,6,8,7] => [1,5,3,2,4,6,8,7] => [1,3,5,2,4,6,8,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[3,1,2,5,6,8,4,7] => [3,1,2,8,5,6,4,7] => [3,1,2,5,6,8,4,7] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,3,5,6,8,2,4,7] => [1,8,3,2,5,6,4,7] => [1,3,5,2,6,8,4,7] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[3,1,5,2,4,6,7,8] => [3,5,1,2,4,6,7,8] => [5,3,2,1,4,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[3,5,1,2,4,6,7,8] => [5,1,3,2,4,6,7,8] => [3,1,5,2,4,6,7,8] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => [1,3,5,2,4,6,7,8] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,3,5,6,2,4,7,8] => [1,6,3,2,5,4,7,8] => [1,3,5,2,6,4,7,8] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,3,5,2,6,7,4,8] => [1,5,3,7,2,6,4,8] => [1,3,6,5,4,7,2,8] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,3,5,6,2,7,4,8] => [1,6,3,7,5,2,4,8] => [1,3,6,5,7,4,2,8] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,3,5,6,7,2,4,8] => [1,7,3,2,5,6,4,8] => [1,3,5,2,6,7,4,8] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[3,1,2,5,6,7,8,4] => [3,1,2,8,5,6,7,4] => [3,1,2,5,6,7,8,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,3,5,6,2,7,8,4] => [1,6,3,8,5,2,7,4] => [1,3,6,5,7,4,8,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,3,5,6,7,2,8,4] => [1,7,3,8,5,6,2,4] => [1,3,6,5,7,8,4,2] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,3,5,6,7,8,2,4] => [1,8,3,2,5,6,7,4] => [1,3,5,2,6,7,8,4] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[3,1,6,2,7,4,8,5] => [3,6,1,7,8,2,4,5] => [8,3,2,7,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,2,4,8,5] => [6,7,3,2,8,1,4,5] => [7,3,8,1,6,5,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,1,6,7,2,8,4,5] => [3,7,1,8,4,6,2,5] => [7,3,2,6,1,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,6,1,7,2,8,4,5] => [6,7,3,8,4,1,2,5] => [7,3,8,6,1,5,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,7,1,2,8,4,5] => [7,1,3,8,4,6,2,5] => [3,1,7,6,2,8,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[3,6,1,7,8,2,4,5] => [6,8,3,2,4,1,7,5] => [6,3,7,1,2,5,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[3,6,7,1,8,2,4,5] => [7,8,3,2,4,6,1,5] => [6,3,7,1,2,8,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[3,6,7,8,1,2,4,5] => [8,1,3,2,4,6,7,5] => [3,1,6,2,4,7,8,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[3,1,6,7,2,4,5,8] => [3,7,1,2,4,6,5,8] => [6,3,2,1,4,7,5,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,3,2,6,4,7,5,8] => [1,3,2,6,7,4,5,8] => [1,3,2,7,6,5,4,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,3,2,6,7,4,5,8] => [1,3,2,7,4,6,5,8] => [1,3,2,6,4,7,5,8] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,3,6,7,2,4,5,8] => [1,7,3,2,4,6,5,8] => [1,3,6,2,4,7,5,8] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[3,6,1,2,4,7,8,5] => [6,1,3,2,8,4,7,5] => [3,1,7,2,6,5,8,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[3,1,2,6,4,7,8,5] => [3,1,2,6,8,4,7,5] => [3,1,2,7,6,5,8,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,3,2,6,4,7,8,5] => [1,3,2,6,8,4,7,5] => [1,3,2,7,6,5,8,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,3,6,2,4,7,8,5] => [1,6,3,2,8,4,7,5] => [1,3,7,2,6,5,8,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[3,1,2,6,7,4,8,5] => [3,1,2,7,8,6,4,5] => [3,1,2,7,6,8,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,3,6,2,7,4,8,5] => [1,6,3,7,8,2,4,5] => [1,3,8,7,6,5,4,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,6,7,2,4,8,5] => [1,7,3,2,8,6,4,5] => [1,3,7,2,6,8,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[3,1,2,6,7,8,4,5] => [3,1,2,8,4,6,7,5] => [3,1,2,6,4,7,8,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,3,2,6,7,8,4,5] => [1,3,2,8,4,6,7,5] => [1,3,2,6,4,7,8,5] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,3,6,7,2,8,4,5] => [1,7,3,8,4,6,2,5] => [1,3,7,6,2,8,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,3,6,7,8,2,4,5] => [1,8,3,2,4,6,7,5] => [1,3,6,2,4,7,8,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[3,1,6,2,8,4,5,7] => [3,6,1,8,4,2,5,7] => [8,3,2,6,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,8,2,4,5,7] => [3,8,1,2,4,6,5,7] => [6,3,2,1,4,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,6,1,8,2,4,5,7] => [6,8,3,2,4,1,5,7] => [6,3,8,1,2,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,6,8,1,2,4,5,7] => [8,1,3,2,4,6,5,7] => [3,1,6,2,4,8,5,7] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[3,1,6,2,4,8,5,7] => [3,6,1,2,8,4,5,7] => [8,3,2,1,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,6,4,8,5,7] => [3,1,2,6,8,4,5,7] => [3,1,2,8,6,5,4,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => [1,3,2,8,6,5,4,7] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,6,2,4,8,5,7] => [1,6,3,2,8,4,5,7] => [1,3,8,2,6,5,4,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,2,6,8,4,5,7] => [1,3,2,8,4,6,5,7] => [1,3,2,6,4,8,5,7] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[3,1,6,2,4,5,8,7] => [3,6,1,2,4,5,8,7] => [6,3,2,1,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,6,1,2,4,5,8,7] => [6,1,3,2,4,5,8,7] => [3,1,6,2,4,5,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[3,1,2,6,4,5,8,7] => [3,1,2,6,4,5,8,7] => [3,1,2,6,4,5,8,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[3,1,2,4,6,5,8,7] => [3,1,2,4,6,5,8,7] => [3,1,2,4,6,5,8,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,3,4,6,2,5,8,7] => [1,6,3,4,2,5,8,7] => [1,3,4,6,2,5,8,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[3,1,2,4,6,8,5,7] => [3,1,2,4,8,6,5,7] => [3,1,2,4,6,8,5,7] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,3,2,4,6,8,5,7] => [1,3,2,4,8,6,5,7] => [1,3,2,4,6,8,5,7] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[3,1,6,2,4,5,7,8] => [3,6,1,2,4,5,7,8] => [6,3,2,1,4,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => [1,3,6,2,4,5,7,8] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => [1,3,4,6,2,5,7,8] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,3,4,6,7,2,5,8] => [1,7,3,4,2,6,5,8] => [1,3,4,6,2,7,5,8] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[3,1,2,4,6,7,8,5] => [3,1,2,4,8,6,7,5] => [3,1,2,4,6,7,8,5] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,3,4,6,2,7,8,5] => [1,6,3,4,8,2,7,5] => [1,3,4,7,6,5,8,2] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,3,4,6,7,2,8,5] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[3,7,1,2,8,4,5,6] => [7,1,3,8,4,5,2,6] => [3,1,8,7,2,4,6,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,1,7,8,2,4,5,6] => [3,8,1,2,4,5,7,6] => [7,3,2,1,4,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,7,8,1,2,4,5,6] => [8,1,3,2,4,5,7,6] => [3,1,7,2,4,5,8,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[3,7,1,2,4,8,5,6] => [7,1,3,2,8,5,4,6] => [3,1,8,2,7,4,6,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => [1,3,2,8,7,4,6,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => [1,3,8,2,7,4,6,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => [1,3,8,7,2,4,6,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => [1,3,7,2,4,5,8,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[3,1,7,2,4,5,8,6] => [3,7,1,2,4,8,5,6] => [8,3,2,1,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,2,4,5,8,6] => [7,1,3,2,4,8,5,6] => [3,1,8,2,4,7,6,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,7,2,4,5,8,6] => [1,7,3,2,4,8,5,6] => [1,3,8,2,4,7,6,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,4,7,5,8,6] => [3,1,2,4,7,8,5,6] => [3,1,2,4,8,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,3,2,4,7,5,8,6] => [1,3,2,4,7,8,5,6] => [1,3,2,4,8,7,6,5] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,3,4,2,7,5,8,6] => [1,4,3,2,7,8,5,6] => [1,3,4,2,8,7,6,5] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,3,4,7,2,5,8,6] => [1,7,3,4,2,8,5,6] => [1,3,4,8,2,7,6,5] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[3,1,2,4,7,8,5,6] => [3,1,2,4,8,5,7,6] => [3,1,2,4,7,5,8,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[1,3,2,4,7,8,5,6] => [1,3,2,4,8,5,7,6] => [1,3,2,4,7,5,8,6] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,3,4,7,2,8,5,6] => [1,7,3,4,8,5,2,6] => [1,3,4,8,7,2,6,5] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[3,1,7,2,4,5,6,8] => [3,7,1,2,4,5,6,8] => [7,3,2,1,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,7,1,2,4,5,6,8] => [7,1,3,2,4,5,6,8] => [3,1,7,2,4,5,6,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[3,1,2,7,4,5,6,8] => [3,1,2,7,4,5,6,8] => [3,1,2,7,4,5,6,8] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => [1,3,7,2,4,5,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[3,1,2,4,7,5,6,8] => [3,1,2,4,7,5,6,8] => [3,1,2,4,7,5,6,8] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,3,4,7,2,5,6,8] => [1,7,3,4,2,5,6,8] => [1,3,4,7,2,5,6,8] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[3,1,2,4,5,7,6,8] => [3,1,2,4,5,7,6,8] => [3,1,2,4,5,7,6,8] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,3,4,5,7,2,8,6] => [1,7,3,4,5,8,2,6] => [1,3,4,5,8,7,6,2] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,3,4,5,7,8,2,6] => [1,8,3,4,5,2,7,6] => [1,3,4,5,7,2,8,6] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[3,1,8,2,4,5,6,7] => [3,8,1,2,4,5,6,7] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,2,4,5,6,7] => [8,1,3,2,4,5,6,7] => [3,1,8,2,4,5,6,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,8,4,5,6,7] => [3,1,2,8,4,5,6,7] => [3,1,2,8,4,5,6,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => [1,3,8,2,4,5,6,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,4,8,5,6,7] => [3,1,2,4,8,5,6,7] => [3,1,2,4,8,5,6,7] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => [1,3,4,2,8,5,6,7] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,3,4,8,2,5,6,7] => [1,8,3,4,2,5,6,7] => [1,3,4,8,2,5,6,7] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[3,1,2,4,5,8,6,7] => [3,1,2,4,5,8,6,7] => [3,1,2,4,5,8,6,7] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,3,4,2,5,8,6,7] => [1,4,3,2,5,8,6,7] => [1,3,4,2,5,8,6,7] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,3,4,5,8,2,6,7] => [1,8,3,4,5,2,6,7] => [1,3,4,5,8,2,6,7] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[3,1,2,4,5,6,8,7] => [3,1,2,4,5,6,8,7] => [3,1,2,4,5,6,8,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,3,4,5,6,8,2,7] => [1,8,3,4,5,6,2,7] => [1,3,4,5,6,8,2,7] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[4,1,5,2,6,3,8,7] => [4,5,6,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,5,1,2,6,3,8,7] => [5,1,6,4,2,3,8,7] => [5,1,4,6,3,2,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,1,5,6,2,3,8,7] => [4,6,2,1,5,3,8,7] => [5,4,1,3,6,2,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[4,5,1,6,2,3,8,7] => [5,6,2,4,1,3,8,7] => [5,4,1,6,3,2,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,5,6,1,2,3,8,7] => [6,1,2,4,5,3,8,7] => [4,1,2,5,6,3,8,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[4,1,5,2,6,8,3,7] => [4,5,8,1,2,6,3,7] => [6,5,4,3,2,8,1,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,5,1,6,2,8,3,7] => [5,6,8,4,1,2,3,7] => [6,5,4,8,3,2,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,5,6,1,2,8,3,7] => [6,1,8,4,5,2,3,7] => [5,1,4,6,8,3,2,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[4,1,5,6,8,2,3,7] => [4,8,2,1,5,6,3,7] => [5,4,1,3,6,8,2,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[4,5,6,8,1,2,3,7] => [8,1,2,4,5,6,3,7] => [4,1,2,5,6,8,3,7] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[4,1,5,2,6,3,7,8] => [4,5,6,1,2,3,7,8] => [6,5,4,3,2,1,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[4,5,1,6,2,3,7,8] => [5,6,2,4,1,3,7,8] => [5,4,1,6,3,2,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[4,1,5,2,6,7,3,8] => [4,5,7,1,2,6,3,8] => [6,5,4,3,2,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[4,1,5,6,2,7,3,8] => [4,6,7,1,5,2,3,8] => [6,5,4,3,7,2,1,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[4,5,1,6,2,7,3,8] => [5,6,7,4,1,2,3,8] => [6,5,4,7,3,2,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[4,5,6,1,2,7,3,8] => [6,1,7,4,5,2,3,8] => [5,1,4,6,7,3,2,8] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[4,5,1,6,7,2,3,8] => [5,7,2,4,1,6,3,8] => [5,4,1,6,3,7,2,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[4,1,5,2,6,7,8,3] => [4,5,8,1,2,6,7,3] => [6,5,4,3,2,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[4,5,6,1,2,7,8,3] => [6,1,8,4,5,2,7,3] => [5,1,4,6,7,3,8,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[4,1,5,6,7,2,8,3] => [4,7,8,1,5,6,2,3] => [6,5,4,3,7,8,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[4,5,1,6,7,2,8,3] => [5,7,8,4,1,6,2,3] => [6,5,4,7,3,8,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,5,6,1,7,2,8,3] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,1,5,6,7,8,2,3] => [4,8,2,1,5,6,7,3] => [5,4,1,3,6,7,8,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[4,5,1,6,7,8,2,3] => [5,8,2,4,1,6,7,3] => [5,4,1,6,3,7,8,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[4,5,6,7,1,8,2,3] => [7,8,2,4,5,6,1,3] => [5,4,1,6,7,8,3,2] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[4,1,5,2,7,3,8,6] => [4,5,7,1,2,8,3,6] => [8,5,4,3,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,2,7,8,3,6] => [4,5,8,1,2,3,7,6] => [7,5,4,3,2,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,5,1,2,7,8,3,6] => [5,1,8,4,2,3,7,6] => [5,1,4,7,3,2,8,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[4,1,5,7,2,8,3,6] => [4,7,8,1,5,3,2,6] => [7,5,4,3,8,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,5,7,1,2,8,3,6] => [7,1,8,4,5,3,2,6] => [5,1,4,7,8,2,6,3] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,5,1,7,8,2,3,6] => [5,8,2,4,1,3,7,6] => [5,4,1,7,3,2,8,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[4,5,7,8,1,2,3,6] => [8,1,2,4,5,3,7,6] => [4,1,2,5,7,3,8,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[4,1,5,7,2,3,6,8] => [4,7,2,1,5,3,6,8] => [5,4,1,3,7,2,6,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[4,5,1,2,3,7,6,8] => [5,1,2,4,3,7,6,8] => [4,1,2,5,3,7,6,8] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,4,2,5,3,7,6,8] => [1,4,5,2,3,7,6,8] => [1,5,4,3,2,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,4,5,2,3,7,6,8] => [1,5,2,4,3,7,6,8] => [1,4,2,5,3,7,6,8] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,4,5,7,2,3,6,8] => [1,7,2,4,5,3,6,8] => [1,4,2,5,7,3,6,8] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[4,5,1,2,3,7,8,6] => [5,1,2,4,3,8,7,6] => [4,1,2,5,3,7,8,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[4,1,2,5,3,7,8,6] => [4,1,5,2,3,8,7,6] => [5,1,4,3,2,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,4,5,2,3,7,8,6] => [1,5,2,4,3,8,7,6] => [1,4,2,5,3,7,8,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,4,2,5,7,3,8,6] => [1,4,7,2,5,8,3,6] => [1,5,4,3,8,7,6,2] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,4,5,2,7,3,8,6] => [1,5,7,4,2,8,3,6] => [1,5,4,8,3,7,6,2] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,4,5,7,2,3,8,6] => [1,7,2,4,5,8,3,6] => [1,4,2,5,8,7,6,3] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[4,1,2,5,7,8,3,6] => [4,1,8,2,5,3,7,6] => [5,1,4,3,7,2,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[4,1,5,2,8,3,6,7] => [4,5,8,1,2,3,6,7] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,2,8,3,6,7] => [5,1,8,4,2,3,6,7] => [5,1,4,8,3,2,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,5,1,8,2,3,6,7] => [5,8,2,4,1,3,6,7] => [5,4,1,8,3,2,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,5,8,1,2,3,6,7] => [8,1,2,4,5,3,6,7] => [4,1,2,5,8,3,6,7] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[4,1,5,2,3,8,6,7] => [4,5,2,1,3,8,6,7] => [5,4,1,3,2,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,4,5,2,3,8,6,7] => [1,5,2,4,3,8,6,7] => [1,4,2,5,3,8,6,7] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,4,5,2,8,3,6,7] => [1,5,8,4,2,3,6,7] => [1,5,4,8,3,2,6,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,1,2,5,6,3,8,7] => [4,1,6,2,5,3,8,7] => [5,1,4,3,6,2,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,4,2,5,6,8,3,7] => [1,4,8,2,5,6,3,7] => [1,5,4,3,6,8,2,7] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,4,5,2,6,8,3,7] => [1,5,8,4,2,6,3,7] => [1,5,4,6,3,8,2,7] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[4,1,5,2,3,6,7,8] => [4,5,2,1,3,6,7,8] => [5,4,1,3,2,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[4,1,2,5,3,6,7,8] => [4,1,5,2,3,6,7,8] => [5,1,4,3,2,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => [1,5,4,3,2,6,7,8] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => [1,4,2,5,3,6,7,8] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[4,1,2,5,6,3,7,8] => [4,1,6,2,5,3,7,8] => [5,1,4,3,6,2,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,4,2,5,6,3,7,8] => [1,4,6,2,5,3,7,8] => [1,5,4,3,6,2,7,8] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,4,5,2,6,3,7,8] => [1,5,6,4,2,3,7,8] => [1,5,4,6,3,2,7,8] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,4,2,5,6,7,3,8] => [1,4,7,2,5,6,3,8] => [1,5,4,3,6,7,2,8] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,4,5,2,6,7,3,8] => [1,5,7,4,2,6,3,8] => [1,5,4,6,3,7,2,8] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,4,5,6,2,7,3,8] => [1,6,7,4,5,2,3,8] => [1,5,4,6,7,3,2,8] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,4,5,6,7,2,3,8] => [1,7,2,4,5,6,3,8] => [1,4,2,5,6,7,3,8] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,4,2,5,6,7,8,3] => [1,4,8,2,5,6,7,3] => [1,5,4,3,6,7,8,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,4,5,2,6,7,8,3] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,4,5,6,2,7,8,3] => [1,6,8,4,5,2,7,3] => [1,5,4,6,7,3,8,2] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,4,5,6,7,2,8,3] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,4,5,6,7,8,2,3] => [1,8,2,4,5,6,7,3] => [1,4,2,5,6,7,8,3] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[4,1,6,2,7,3,8,5] => [4,6,7,1,8,2,3,5] => [8,7,4,3,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,7,2,8,3,5] => [4,7,8,1,3,6,2,5] => [7,6,4,3,1,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,6,1,7,2,8,3,5] => [6,7,8,4,3,1,2,5] => [7,6,4,8,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,6,7,1,2,8,3,5] => [7,1,8,4,3,6,2,5] => [6,1,4,7,2,8,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,1,6,7,8,2,3,5] => [4,8,2,1,3,6,7,5] => [6,4,1,3,2,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[4,6,7,1,8,2,3,5] => [7,8,2,4,3,6,1,5] => [6,4,1,7,2,8,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,6,7,8,1,2,3,5] => [8,1,2,4,3,6,7,5] => [4,1,2,6,3,7,8,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[4,1,6,2,7,3,5,8] => [4,6,7,1,3,2,5,8] => [7,6,4,3,1,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,1,6,2,3,7,5,8] => [4,6,2,1,7,3,5,8] => [7,4,1,3,6,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,4,6,2,7,3,5,8] => [1,6,7,4,3,2,5,8] => [1,6,4,7,2,5,3,8] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,4,6,7,2,3,5,8] => [1,7,2,4,3,6,5,8] => [1,4,2,6,3,7,5,8] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[4,6,1,2,3,7,8,5] => [6,1,2,4,8,3,7,5] => [4,1,2,7,6,5,8,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[4,1,2,6,3,7,8,5] => [4,1,6,2,8,3,7,5] => [7,1,4,3,6,5,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,4,2,6,3,7,8,5] => [1,4,6,2,8,3,7,5] => [1,7,4,3,6,5,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,4,6,2,3,7,8,5] => [1,6,2,4,8,3,7,5] => [1,4,2,7,6,5,8,3] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,4,2,6,7,3,8,5] => [1,4,7,2,8,6,3,5] => [1,7,4,3,6,8,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,4,6,2,7,3,8,5] => [1,6,7,4,8,2,3,5] => [1,7,4,8,6,5,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,4,2,6,7,8,3,5] => [1,4,8,2,3,6,7,5] => [1,6,4,3,2,7,8,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,4,6,2,7,8,3,5] => [1,6,8,4,3,2,7,5] => [1,6,4,7,2,5,8,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[4,1,6,8,2,3,5,7] => [4,8,2,1,3,6,5,7] => [6,4,1,3,2,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,6,8,1,2,3,5,7] => [8,1,2,4,3,6,5,7] => [4,1,2,6,3,8,5,7] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[4,1,6,2,3,8,5,7] => [4,6,2,1,8,3,5,7] => [8,4,1,3,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,6,3,8,5,7] => [4,1,6,2,8,3,5,7] => [8,1,4,3,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => [1,8,4,3,6,5,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => [1,4,2,8,6,5,3,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,1,2,6,8,3,5,7] => [4,1,8,2,3,6,5,7] => [6,1,4,3,2,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,4,6,2,8,3,5,7] => [1,6,8,4,3,2,5,7] => [1,6,4,8,2,5,3,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,4,6,8,2,3,5,7] => [1,8,2,4,3,6,5,7] => [1,4,2,6,3,8,5,7] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[4,1,6,2,3,5,8,7] => [4,6,2,1,3,5,8,7] => [6,4,1,3,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,6,1,2,3,5,8,7] => [6,1,2,4,3,5,8,7] => [4,1,2,6,3,5,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => [1,4,2,6,3,5,8,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[4,1,2,3,6,5,8,7] => [4,1,2,3,6,5,8,7] => [4,1,2,3,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[4,1,2,3,6,8,5,7] => [4,1,2,3,8,6,5,7] => [4,1,2,3,6,8,5,7] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,2,4,3,6,8,5,7] => [1,2,4,3,8,6,5,7] => [1,2,4,3,6,8,5,7] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,2,4,6,8,3,5,7] => [1,2,8,4,3,6,5,7] => [1,2,4,6,3,8,5,7] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,6,2,3,5,7,8] => [4,6,2,1,3,5,7,8] => [6,4,1,3,2,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => [1,6,4,3,2,5,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => [1,4,2,6,3,5,7,8] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[4,1,2,3,6,5,7,8] => [4,1,2,3,6,5,7,8] => [4,1,2,3,6,5,7,8] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => [1,2,4,6,3,5,7,8] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[4,1,2,3,6,7,5,8] => [4,1,2,3,7,6,5,8] => [4,1,2,3,6,7,5,8] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[4,1,2,3,6,7,8,5] => [4,1,2,3,8,6,7,5] => [4,1,2,3,6,7,8,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,2,4,6,3,7,8,5] => [1,2,6,4,8,3,7,5] => [1,2,4,7,6,5,8,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,4,6,7,8,3,5] => [1,2,8,4,3,6,7,5] => [1,2,4,6,3,7,8,5] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[4,7,1,2,8,3,5,6] => [7,1,8,4,3,5,2,6] => [7,1,4,8,2,3,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,1,7,8,2,3,5,6] => [4,8,2,1,3,5,7,6] => [7,4,1,3,2,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,7,8,1,2,3,5,6] => [8,1,2,4,3,5,7,6] => [4,1,2,7,3,5,8,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[4,1,7,2,3,8,5,6] => [4,7,2,1,8,5,3,6] => [8,4,1,3,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => [1,8,4,3,7,2,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,2,3,8,5,6] => [1,7,2,4,8,5,3,6] => [1,4,2,8,7,3,6,5] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,1,2,7,8,3,5,6] => [4,1,8,2,3,5,7,6] => [7,1,4,3,2,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => [1,7,4,3,2,5,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,2,7,3,5,8,6] => [4,1,7,2,3,8,5,6] => [8,1,4,3,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,7,3,5,8,6] => [1,4,7,2,3,8,5,6] => [1,8,4,3,2,7,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => [1,4,2,8,3,7,6,5] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,1,2,3,7,5,8,6] => [4,1,2,3,7,8,5,6] => [4,1,2,3,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,4,2,3,7,5,8,6] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,7,6,5] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,2,4,3,7,5,8,6] => [1,2,4,3,7,8,5,6] => [1,2,4,3,8,7,6,5] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[4,1,2,3,7,8,5,6] => [4,1,2,3,8,5,7,6] => [4,1,2,3,7,5,8,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => [1,4,2,3,7,5,8,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,2,4,3,7,8,5,6] => [1,2,4,3,8,5,7,6] => [1,2,4,3,7,5,8,6] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,2,4,7,3,8,5,6] => [1,2,7,4,8,5,3,6] => [1,2,4,8,7,3,6,5] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,4,7,8,3,5,6] => [1,2,8,4,3,5,7,6] => [1,2,4,7,3,5,8,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[4,7,1,2,3,5,6,8] => [7,1,2,4,3,5,6,8] => [4,1,2,7,3,5,6,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[4,1,2,7,3,5,6,8] => [4,1,7,2,3,5,6,8] => [7,1,4,3,2,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => [1,7,4,3,2,5,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => [1,4,2,7,3,5,6,8] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[4,1,2,3,7,5,6,8] => [4,1,2,3,7,5,6,8] => [4,1,2,3,7,5,6,8] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => [1,2,4,7,3,5,6,8] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[4,1,2,3,5,7,6,8] => [4,1,2,3,5,7,6,8] => [4,1,2,3,5,7,6,8] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[4,1,2,3,5,7,8,6] => [4,1,2,3,5,8,7,6] => [4,1,2,3,5,7,8,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => [1,4,2,3,5,7,8,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,2,4,5,7,3,8,6] => [1,2,7,4,5,8,3,6] => [1,2,4,5,8,7,6,3] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,2,4,5,7,8,3,6] => [1,2,8,4,5,3,7,6] => [1,2,4,5,7,3,8,6] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[4,1,8,2,3,5,6,7] => [4,8,2,1,3,5,6,7] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,2,3,5,6,7] => [8,1,2,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,1,2,8,3,5,6,7] => [4,1,8,2,3,5,6,7] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => [1,8,4,3,2,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => [1,4,2,8,3,5,6,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,1,2,3,8,5,6,7] => [4,1,2,3,8,5,6,7] => [4,1,2,3,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => [1,2,4,8,3,5,6,7] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[4,1,2,3,5,8,6,7] => [4,1,2,3,5,8,6,7] => [4,1,2,3,5,8,6,7] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,2,4,5,3,8,6,7] => [1,2,5,4,3,8,6,7] => [1,2,4,5,3,8,6,7] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,2,3,5,6,8,7] => [4,1,2,3,5,6,8,7] => [4,1,2,3,5,6,8,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,2,4,5,6,8,3,7] => [1,2,8,4,5,6,3,7] => [1,2,4,5,6,8,3,7] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[5,1,6,2,7,3,8,4] => [5,6,7,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,2,7,3,8,4] => [6,1,7,8,5,2,3,4] => [7,1,6,5,8,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,6,7,2,3,8,4] => [5,7,2,8,1,6,3,4] => [7,6,1,5,4,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,6,1,7,2,3,8,4] => [6,7,2,8,5,1,3,4] => [7,6,1,5,8,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,7,1,2,3,8,4] => [7,1,2,8,5,6,3,4] => [6,1,2,5,7,8,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,1,6,2,7,8,3,4] => [5,6,8,3,1,2,7,4] => [7,6,5,1,4,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,6,1,2,7,8,3,4] => [6,1,8,3,5,2,7,4] => [6,1,5,2,7,4,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,1,6,7,2,8,3,4] => [5,7,8,3,1,6,2,4] => [7,6,5,1,4,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,6,1,7,2,8,3,4] => [6,7,8,3,5,1,2,4] => [7,6,5,1,8,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,7,1,2,8,3,4] => [7,1,8,3,5,6,2,4] => [6,1,5,2,7,8,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,1,7,8,2,3,4] => [6,8,2,3,5,1,7,4] => [6,5,1,2,7,4,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,7,1,8,2,3,4] => [7,8,2,3,5,6,1,4] => [6,5,1,2,7,8,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,1,6,2,7,3,4,8] => [5,6,7,3,1,2,4,8] => [7,6,5,1,4,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => [1,7,6,5,4,3,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,5,2,6,7,3,4,8] => [1,5,7,3,2,6,4,8] => [1,6,5,2,4,7,3,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,1,6,2,3,7,8,4] => [5,6,2,8,1,3,7,4] => [7,6,1,5,4,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,5,2,6,3,7,8,4] => [1,5,6,8,2,3,7,4] => [1,7,6,5,4,3,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,5,2,6,7,3,8,4] => [1,5,7,8,2,6,3,4] => [1,7,6,5,4,8,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,5,6,2,7,3,8,4] => [1,6,7,8,5,2,3,4] => [1,7,6,5,8,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,1,2,6,7,8,3,4] => [5,1,8,3,2,6,7,4] => [6,1,5,2,4,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,5,6,2,7,8,3,4] => [1,6,8,3,5,2,7,4] => [1,6,5,2,7,4,8,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,5,6,7,2,8,3,4] => [1,7,8,3,5,6,2,4] => [1,6,5,2,7,8,4,3] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => [1,5,2,3,6,7,8,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[5,1,6,8,2,3,4,7] => [5,8,2,3,1,6,4,7] => [6,5,1,2,4,8,3,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,6,1,8,2,3,4,7] => [6,8,2,3,5,1,4,7] => [6,5,1,2,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,6,8,1,2,3,4,7] => [8,1,2,3,5,6,4,7] => [5,1,2,3,6,8,4,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[5,1,6,2,3,8,4,7] => [5,6,2,8,1,3,4,7] => [8,6,1,5,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => [1,8,6,5,4,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => [1,6,2,5,8,4,3,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,1,2,6,8,3,4,7] => [5,1,8,3,2,6,4,7] => [6,1,5,2,4,8,3,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,5,6,8,2,3,4,7] => [1,8,2,3,5,6,4,7] => [1,5,2,3,6,8,4,7] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[5,1,2,6,3,4,8,7] => [5,1,6,3,2,4,8,7] => [6,1,5,2,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,1,2,3,6,4,8,7] => [5,1,2,6,3,4,8,7] => [6,1,2,5,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,5,2,3,6,8,4,7] => [1,5,2,8,3,6,4,7] => [1,6,2,5,4,8,3,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,2,5,3,6,8,4,7] => [1,2,5,8,3,6,4,7] => [1,2,6,5,4,8,3,7] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[5,1,2,3,6,4,7,8] => [5,1,2,6,3,4,7,8] => [6,1,2,5,4,3,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,2,5,3,6,4,7,8] => [1,2,5,6,3,4,7,8] => [1,2,6,5,4,3,7,8] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => [1,2,5,3,6,4,7,8] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,2,3,6,7,4,8] => [5,1,2,7,3,6,4,8] => [6,1,2,5,4,7,3,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,5,2,3,6,7,4,8] => [1,5,2,7,3,6,4,8] => [1,6,2,5,4,7,3,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[5,1,2,3,6,7,8,4] => [5,1,2,8,3,6,7,4] => [6,1,2,5,4,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,5,2,3,6,7,8,4] => [1,5,2,8,3,6,7,4] => [1,6,2,5,4,7,8,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,2,5,3,6,7,8,4] => [1,2,5,8,3,6,7,4] => [1,2,6,5,4,7,8,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,2,5,6,7,3,8,4] => [1,2,7,8,5,6,3,4] => [1,2,6,5,7,8,4,3] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => [1,2,5,3,6,7,8,4] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,7,2,8,3,4,6] => [5,7,8,3,1,4,2,6] => [8,7,5,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,2,8,3,4,6] => [7,1,8,3,5,4,2,6] => [7,1,5,2,8,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,7,8,1,2,3,4,6] => [8,1,2,3,5,4,7,6] => [5,1,2,3,7,4,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[5,1,2,7,3,8,4,6] => [5,1,7,8,2,4,3,6] => [8,1,7,5,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,7,8,3,4,6] => [5,1,8,3,2,4,7,6] => [7,1,5,2,4,3,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => [1,7,5,2,4,3,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,7,1,2,3,4,8,6] => [7,1,2,3,5,8,4,6] => [5,1,2,3,8,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => [1,8,5,2,4,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,2,3,4,8,6] => [1,7,2,3,5,8,4,6] => [1,5,2,3,8,7,6,4] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,5,2,3,7,4,8,6] => [1,5,2,7,3,8,4,6] => [1,8,2,5,4,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,3,7,4,8,6] => [1,2,5,7,3,8,4,6] => [1,2,8,5,4,7,6,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,7,3,4,8,6] => [1,2,7,3,5,8,4,6] => [1,2,5,3,8,7,6,4] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,5,2,3,7,8,4,6] => [1,5,2,8,3,4,7,6] => [1,7,2,5,4,3,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,2,5,3,7,8,4,6] => [1,2,5,8,3,4,7,6] => [1,2,7,5,4,3,8,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => [1,2,7,5,8,3,6,4] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,2,5,7,8,3,4,6] => [1,2,8,3,5,4,7,6] => [1,2,5,3,7,4,8,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => [1,5,2,3,7,4,6,8] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => [1,7,2,5,4,3,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,2,5,7,3,4,6,8] => [1,2,7,3,5,4,6,8] => [1,2,5,3,7,4,6,8] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,2,5,3,4,7,6,8] => [1,2,5,3,4,7,6,8] => [1,2,5,3,4,7,6,8] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,2,3,5,7,4,6,8] => [1,2,3,7,5,4,6,8] => [1,2,3,5,7,4,6,8] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[5,1,2,3,4,7,8,6] => [5,1,2,3,4,8,7,6] => [5,1,2,3,4,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,5,2,3,4,7,8,6] => [1,5,2,3,4,8,7,6] => [1,5,2,3,4,7,8,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,2,5,3,4,7,8,6] => [1,2,5,3,4,8,7,6] => [1,2,5,3,4,7,8,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,2,3,5,7,4,8,6] => [1,2,3,7,5,8,4,6] => [1,2,3,5,8,7,6,4] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,3,5,7,8,4,6] => [1,2,3,8,5,4,7,6] => [1,2,3,5,7,4,8,6] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[5,1,8,2,3,4,6,7] => [5,8,2,3,1,4,6,7] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,2,3,4,6,7] => [8,1,2,3,5,4,6,7] => [5,1,2,3,8,4,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => [1,5,2,3,8,4,6,7] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[5,1,2,3,8,4,6,7] => [5,1,2,8,3,4,6,7] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => [1,2,8,5,4,3,6,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => [1,2,5,3,8,4,6,7] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[5,1,2,3,4,8,6,7] => [5,1,2,3,4,8,6,7] => [5,1,2,3,4,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => [1,2,3,5,8,4,6,7] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[5,1,2,3,4,6,8,7] => [5,1,2,3,4,6,8,7] => [5,1,2,3,4,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,5,2,3,4,6,8,7] => [1,5,2,3,4,6,8,7] => [1,5,2,3,4,6,8,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,2,5,3,4,6,8,7] => [1,2,5,3,4,6,8,7] => [1,2,5,3,4,6,8,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => [1,2,3,5,6,8,4,7] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,7,2,8,3,4,5] => [6,7,8,3,4,1,2,5] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,2,8,3,4,5] => [7,1,8,3,4,6,2,5] => [7,1,6,2,3,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,1,8,2,3,4,5] => [7,8,2,3,4,6,1,5] => [7,6,1,2,3,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,1,7,2,3,8,4,5] => [6,7,2,8,4,1,3,5] => [8,7,1,6,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,7,3,8,4,5] => [6,1,7,8,4,2,3,5] => [8,1,7,6,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => [1,8,7,6,2,5,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,2,3,8,4,5] => [1,7,2,8,4,6,3,5] => [1,7,2,6,3,8,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,1,2,7,8,3,4,5] => [6,1,8,3,4,2,7,5] => [7,1,6,2,3,5,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => [1,7,6,2,3,5,8,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => [1,6,2,3,4,7,8,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[6,1,7,2,3,4,8,5] => [6,7,2,3,8,1,4,5] => [8,7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,2,3,4,8,5] => [7,1,2,3,8,6,4,5] => [7,1,2,3,6,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,1,2,7,3,4,8,5] => [6,1,7,3,8,2,4,5] => [8,1,7,2,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,2,3,4,8,5] => [1,7,2,3,8,6,4,5] => [1,7,2,3,6,8,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,1,2,3,7,4,8,5] => [6,1,2,7,8,3,4,5] => [8,1,2,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,3,7,4,8,5] => [1,6,2,7,8,3,4,5] => [1,8,2,7,6,5,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,3,7,4,8,5] => [1,2,6,7,8,3,4,5] => [1,2,8,7,6,5,4,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,7,3,4,8,5] => [1,2,7,3,8,6,4,5] => [1,2,7,3,6,8,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,2,6,3,7,8,4,5] => [1,2,6,8,4,3,7,5] => [1,2,7,6,3,5,8,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,2,6,7,3,8,4,5] => [1,2,7,8,4,6,3,5] => [1,2,7,6,3,8,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => [1,2,6,3,4,7,8,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[6,1,7,2,3,4,5,8] => [6,7,2,3,4,1,5,8] => [7,6,1,2,3,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => [1,6,2,3,4,7,5,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,2,6,7,3,4,5,8] => [1,2,7,3,4,6,5,8] => [1,2,6,3,4,7,5,8] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[6,1,2,3,4,7,5,8] => [6,1,2,3,7,4,5,8] => [7,1,2,3,6,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,2,3,6,4,7,5,8] => [1,2,3,6,7,4,5,8] => [1,2,3,7,6,5,4,8] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => [1,2,3,6,4,7,5,8] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[6,1,2,3,4,7,8,5] => [6,1,2,3,8,4,7,5] => [7,1,2,3,6,5,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,2,6,3,4,7,8,5] => [1,2,6,3,8,4,7,5] => [1,2,7,3,6,5,8,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,2,3,6,4,7,8,5] => [1,2,3,6,8,4,7,5] => [1,2,3,7,6,5,8,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,3,6,7,4,8,5] => [1,2,3,7,8,6,4,5] => [1,2,3,7,6,8,5,4] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,3,6,7,8,4,5] => [1,2,3,8,4,6,7,5] => [1,2,3,6,4,7,8,5] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[6,1,8,2,3,4,5,7] => [6,8,2,3,4,1,5,7] => [8,6,1,2,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,2,3,4,5,7] => [8,1,2,3,4,6,5,7] => [6,1,2,3,4,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,1,2,8,3,4,5,7] => [6,1,8,3,4,2,5,7] => [8,1,6,2,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => [1,6,2,3,4,8,5,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => [1,8,2,6,3,5,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => [1,2,6,3,4,8,5,7] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[6,1,2,3,4,8,5,7] => [6,1,2,3,8,4,5,7] => [8,1,2,3,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => [1,8,2,3,6,5,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => [1,2,8,3,6,5,4,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => [1,2,3,8,6,5,4,7] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => [1,2,3,6,4,8,5,7] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[6,1,2,3,4,5,8,7] => [6,1,2,3,4,5,8,7] => [6,1,2,3,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,3,4,6,8,5,7] => [1,2,3,4,8,6,5,7] => [1,2,3,4,6,8,5,7] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[7,1,8,2,3,4,5,6] => [7,8,2,3,4,5,1,6] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => [1,8,7,2,3,4,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => [1,7,2,3,4,5,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,1,2,3,8,4,5,6] => [7,1,2,8,4,5,3,6] => [8,1,2,7,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => [1,8,2,7,3,4,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => [1,2,8,7,3,4,6,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => [1,2,7,3,4,5,8,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => [1,2,8,3,7,4,6,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => [1,2,3,8,7,4,6,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => [1,2,3,7,4,5,8,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[7,1,2,3,4,5,8,6] => [7,1,2,3,4,8,5,6] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => [1,8,2,3,4,7,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => [1,2,8,3,4,7,6,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => [1,2,3,8,4,7,6,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,4,7,5,8,6] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,7,6,5] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,5,8,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[5,3,2,6,1,4,8,7] => [6,3,5,1,2,4,8,7] => [3,6,5,2,4,1,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[7,3,2,5,4,8,1,6] => [8,3,7,5,2,1,4,6] => [3,7,5,8,2,4,6,1] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[8,4,5,2,3,7,6,1] => [6,5,2,7,1,8,3,4] => [7,8,1,5,4,6,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,5,2,3,8,1,6] => [8,5,2,7,4,1,3,6] => [5,8,1,7,2,4,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,3,1,8,7] => [3,5,2,6,4,1,8,7] => [6,3,1,5,2,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,4,6,2,1,3,8,7] => [2,6,1,5,4,3,8,7] => [5,2,1,6,3,4,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[3,6,1,5,4,2,8,7] => [6,4,3,5,1,2,8,7] => [3,4,6,5,2,1,8,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[4,6,5,1,3,2,8,7] => [5,3,1,4,6,2,8,7] => [3,4,2,6,5,1,8,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[5,6,4,3,1,2,8,7] => [3,1,4,6,5,2,8,7] => [5,1,3,4,6,2,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[7,5,4,3,2,8,1,6] => [8,3,4,5,7,1,2,6] => [3,8,4,5,7,2,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,4,3,7,2,5,1] => [5,7,4,6,2,8,3,1] => [7,4,8,5,2,6,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,6,4,3,8,2,1,5] => [2,8,4,6,1,7,3,5] => [4,2,8,6,3,7,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,7,4,3,8,1,2,5] => [8,1,4,7,2,6,3,5] => [4,1,7,6,3,8,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[5,7,4,3,1,8,2,6] => [3,4,7,8,5,2,1,6] => [7,5,3,4,8,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,7,5,1,3,8,2,6] => [5,7,2,4,8,1,3,6] => [7,4,1,8,5,3,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,7,1,5,4,8,2,6] => [7,8,3,5,1,2,4,6] => [5,3,7,8,4,2,6,1] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[2,1,7,5,4,8,3,6] => [2,1,8,5,7,3,4,6] => [2,1,5,8,7,4,6,3] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[3,8,1,5,4,7,6,2] => [8,6,3,5,1,7,4,2] => [3,5,6,8,4,7,1,2] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[4,8,5,1,3,7,6,2] => [5,8,2,4,6,7,3,1] => [5,4,1,8,6,7,2,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,8,4,3,1,7,6,2] => [3,4,8,6,5,7,1,2] => [6,4,3,5,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,8,4,3,7,1,5,2] => [7,5,4,8,1,6,3,2] => [5,6,7,4,3,8,1,2] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[7,8,4,3,6,5,1,2] => [5,1,4,6,8,2,7,3] => [6,1,7,4,5,3,8,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[6,8,5,7,3,1,4,2] => [3,7,4,2,8,6,5,1] => [7,3,4,1,6,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,8,6,7,1,3,4,2] => [7,4,1,3,5,8,6,2] => [4,5,2,1,8,7,3,6] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[4,8,6,1,7,3,5,2] => [6,5,8,4,1,7,3,2] => [5,6,4,8,3,7,1,2] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[3,8,1,6,7,4,5,2] => [8,5,3,7,4,1,6,2] => [3,5,8,7,1,4,2,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[2,1,8,6,7,4,5,3] => [2,1,5,7,4,8,6,3] => [2,1,8,5,3,7,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,6,8,4,3,5] => [2,1,4,8,3,7,6,5] => [2,1,7,4,3,8,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[3,7,1,6,8,4,2,5] => [7,4,3,8,2,1,6,5] => [3,7,8,4,1,5,2,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,7,6,1,8,3,2,5] => [6,3,7,4,1,8,2,5] => [4,7,3,8,2,6,5,1] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[5,7,6,8,1,3,2,4] => [8,3,1,2,5,7,6,4] => [3,5,2,1,7,8,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[5,4,7,2,1,8,3,6] => [2,7,8,5,4,3,1,6] => [7,2,5,8,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,7,2,8,1,3,5] => [8,7,1,6,3,4,2,5] => [6,7,2,8,3,4,5,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,4,6,2,8,3,1,5] => [3,8,6,7,2,4,1,5] => [8,3,6,7,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,2,7,3,5,1] => [5,6,7,8,3,4,2,1] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,6,7,4,5,1] => [5,3,8,7,4,2,6,1] => [5,8,3,7,1,2,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,3,2,6,8,4,1,5] => [4,3,8,7,2,1,6,5] => [4,8,3,7,1,5,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,7,8,1,4,5] => [8,3,6,1,4,2,7,5] => [3,7,6,2,1,5,8,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,2,7,1,8,4,6] => [7,3,5,8,2,4,1,6] => [3,8,7,5,2,1,6,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,7,8,5,6] => [2,3,4,1,8,5,7,6] => [4,2,3,1,7,5,8,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[3,4,1,2,8,7,6,5] => [4,1,3,2,6,7,8,5] => [3,1,4,2,8,6,7,5] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[5,3,2,8,1,7,6,4] => [8,3,5,6,2,7,1,4] => [3,8,5,6,2,7,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,8,7,1,5,4] => [7,3,6,5,1,2,8,4] => [3,6,5,8,4,2,7,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[7,3,2,8,6,5,1,4] => [5,3,6,1,8,7,2,4] => [6,8,3,2,5,7,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,7,2,6,5,3,1] => [3,5,6,7,8,4,2,1] => [8,7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,2,6,5,1,3] => [5,6,2,8,7,4,1,3] => [8,7,1,5,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,2,7,1,5,3] => [7,8,5,6,1,4,2,3] => [6,5,8,7,4,1,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,4,8,2,1,7,6,3] => [2,8,6,5,4,7,1,3] => [5,2,6,8,1,7,4,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[4,5,8,1,2,7,6,3] => [8,1,6,4,5,7,2,3] => [4,1,5,6,8,7,3,2] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[3,5,1,8,2,7,6,4] => [5,8,3,6,1,7,2,4] => [5,3,8,6,4,7,2,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,1,5,8,3,7,6,4] => [2,1,8,6,5,7,3,4] => [2,1,5,6,8,7,4,3] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[2,1,6,8,7,3,5,4] => [2,1,7,5,3,6,8,4] => [2,1,5,6,4,8,7,3] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[3,6,1,8,7,2,5,4] => [6,7,3,5,2,1,8,4] => [5,3,6,8,2,4,7,1] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[4,6,8,1,7,2,5,3] => [8,7,5,4,2,6,1,3] => [4,5,6,7,2,8,3,1] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[5,6,8,7,1,2,4,3] => [7,1,4,2,5,6,8,3] => [4,1,5,3,6,8,7,2] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[6,5,8,7,2,1,4,3] => [2,7,4,1,6,5,8,3] => [4,2,6,3,8,1,7,5] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[7,5,8,6,2,4,1,3] => [4,6,1,2,8,7,3,5] => [8,4,2,3,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,6,2,4,3,1] => [3,4,6,1,7,8,2,5] => [8,4,3,2,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,6,1,4,2,3] => [6,4,2,1,5,8,7,3] => [4,5,1,3,7,6,8,2] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[4,7,8,1,6,5,2,3] => [8,5,2,4,6,1,7,3] => [4,5,1,7,6,3,8,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[3,7,1,8,6,5,2,4] => [7,5,3,2,6,8,1,4] => [3,5,8,1,7,6,4,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[2,1,7,8,6,5,3,4] => [2,1,5,3,6,8,7,4] => [2,1,7,3,5,6,8,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[3,8,1,7,6,5,4,2] => [8,4,3,5,6,7,1,2] => [3,4,8,5,6,7,2,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,8,7,1,6,5,3,2] => [7,3,5,4,6,1,8,2] => [3,5,4,8,6,2,7,1] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[5,8,7,6,1,4,3,2] => [6,3,4,1,5,7,8,2] => [3,5,4,2,8,6,7,1] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[6,8,7,5,4,1,3,2] => [4,3,1,5,7,6,8,2] => [3,6,2,4,5,8,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,4,1,2,6,5,8,7,10,9] => [4,1,3,2,6,5,8,7,10,9] => [3,1,4,2,6,5,8,7,10,9] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,5,6,3,4,8,7,10,9] => [2,1,6,3,5,4,8,7,10,9] => [2,1,5,3,6,4,8,7,10,9] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[3,4,1,2,7,8,5,6,10,9] => [4,1,3,2,8,5,7,6,10,9] => [3,1,4,2,7,5,8,6,10,9] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[2,1,4,3,7,8,5,6,10,9] => [2,1,4,3,8,5,7,6,10,9] => [2,1,4,3,7,5,8,6,10,9] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[10,8,9,6,7,4,5,2,3,1] => [3,5,2,7,4,9,6,10,8,1] => [10,3,1,5,2,7,4,9,6,8] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,7,8,9,10,1,2,3,4,5] => [10,1,2,3,4,6,7,8,9,5] => [6,1,2,3,4,7,8,9,10,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[2,1,5,6,3,4,9,10,7,8] => [2,1,6,3,5,4,10,7,9,8] => [2,1,5,3,6,4,9,7,10,8] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[3,4,1,2,6,5,9,10,7,8] => [4,1,3,2,6,5,10,7,9,8] => [3,1,4,2,6,5,9,7,10,8] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[2,1,4,3,6,5,9,10,7,8] => [2,1,4,3,6,5,10,7,9,8] => [2,1,4,3,6,5,9,7,10,8] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,2,5,1,4,6,7,8] => [5,3,2,1,4,6,7,8] => [3,5,1,2,4,6,7,8] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[4,2,5,1,3,6,7,8] => [5,4,1,2,3,6,7,8] => [4,5,2,3,1,6,7,8] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[5,2,4,1,3,6,7,8] => [4,5,1,2,3,6,7,8] => [5,4,2,3,1,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[3,2,6,1,4,5,7,8] => [6,3,2,1,4,5,7,8] => [3,6,1,2,4,5,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[4,2,6,1,3,5,7,8] => [6,4,1,2,3,5,7,8] => [4,6,2,3,1,5,7,8] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[5,3,6,1,2,4,7,8] => [6,1,5,2,3,4,7,8] => [5,1,6,3,4,2,7,8] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[3,2,7,1,4,5,6,8] => [7,3,2,1,4,5,6,8] => [3,7,1,2,4,5,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,4,6,1,2,3,5,8] => [6,1,2,7,3,4,5,8] => [7,1,2,6,4,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,2,8,1,4,5,6,7] => [8,3,2,1,4,5,6,7] => [3,8,1,2,4,5,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,8,1,3,5,6,7] => [8,4,1,2,3,5,6,7] => [4,8,2,3,1,5,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,3,8,1,2,5,6,7] => [8,1,4,3,2,5,6,7] => [4,1,8,2,3,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,2,8,1,3,4,6,7] => [8,5,1,3,2,4,6,7] => [5,8,2,1,4,3,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,4,8,1,2,3,6,7] => [8,1,2,5,4,3,6,7] => [5,1,2,8,3,4,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,2,8,1,3,4,5,7] => [8,6,1,3,4,2,5,7] => [6,8,2,1,3,5,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,3,8,1,2,4,5,7] => [8,1,6,2,4,3,5,7] => [6,1,8,3,2,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,8,1,2,3,4,7] => [8,1,2,3,6,5,4,7] => [6,1,2,3,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,2,8,1,3,4,5,6] => [8,7,1,3,4,5,2,6] => [7,8,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,8,1,2,4,5,6] => [8,1,7,2,4,5,3,6] => [7,1,8,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,4,8,1,2,3,5,6] => [8,1,2,7,3,5,4,6] => [7,1,2,8,4,3,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,5,8,1,2,3,4,6] => [8,1,2,3,7,4,5,6] => [7,1,2,3,8,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,2,4,1,3,5,6,7] => [4,8,1,2,3,5,6,7] => [8,4,2,3,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,1,2,4,6,7] => [5,1,8,2,3,4,6,7] => [8,1,5,3,4,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,1,3,4,5,7] => [6,8,1,3,4,2,5,7] => [8,6,2,1,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,1,2,4,5,7] => [6,1,8,2,4,3,5,7] => [8,1,6,3,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,1,2,3,5,7] => [6,1,2,8,3,4,5,7] => [8,1,2,6,4,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,1,3,4,5,6] => [7,8,1,3,4,5,2,6] => [8,7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,2,3,5,6] => [7,1,2,8,3,5,4,6] => [8,1,2,7,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,2,3,4,6] => [7,1,2,3,8,4,5,6] => [8,1,2,3,7,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,7,1,4,6,8] => [7,3,2,1,5,4,6,8] => [3,5,1,2,7,4,6,8] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[3,2,6,7,1,4,5,8] => [7,3,2,1,4,6,5,8] => [3,6,1,2,4,7,5,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[6,2,4,7,1,3,5,8] => [7,6,1,2,3,4,5,8] => [6,7,2,3,4,5,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[7,2,4,6,1,3,5,8] => [6,7,1,2,3,4,5,8] => [7,6,2,3,4,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,2,5,8,1,4,6,7] => [8,3,2,1,5,4,6,7] => [3,5,1,2,8,4,6,7] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[4,3,5,8,1,2,6,7] => [8,1,4,3,5,2,6,7] => [4,1,5,2,8,3,6,7] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[5,2,4,8,1,3,6,7] => [8,5,1,2,4,3,6,7] => [5,8,2,3,1,4,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,3,4,8,1,2,6,7] => [8,1,5,3,4,2,6,7] => [5,1,8,2,3,4,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,2,6,8,1,4,5,7] => [8,3,2,1,4,6,5,7] => [3,6,1,2,4,8,5,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[4,3,6,8,1,2,5,7] => [8,1,4,3,2,6,5,7] => [4,1,6,2,3,8,5,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[5,4,6,8,1,2,3,7] => [8,1,2,5,4,6,3,7] => [5,1,2,6,3,8,4,7] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[6,3,4,8,1,2,5,7] => [8,1,6,3,2,4,5,7] => [6,1,8,2,4,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,3,5,8,1,2,4,7] => [8,1,6,2,3,5,4,7] => [6,1,8,3,4,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,4,5,8,1,2,3,7] => [8,1,2,6,4,5,3,7] => [6,1,2,8,3,4,5,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,2,7,8,1,4,5,6] => [8,3,2,1,4,5,7,6] => [3,7,1,2,4,5,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[4,3,7,8,1,2,5,6] => [8,1,4,3,2,5,7,6] => [4,1,7,2,3,5,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[5,2,7,8,1,3,4,6] => [8,5,1,3,2,4,7,6] => [5,7,2,1,4,3,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[7,3,4,8,1,2,5,6] => [8,1,7,3,2,5,4,6] => [7,1,8,2,4,3,6,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,5,8,1,3,4,6] => [8,7,1,3,2,4,5,6] => [7,8,2,1,4,5,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,5,8,1,2,4,6] => [8,1,7,2,3,4,5,6] => [7,1,8,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,6,8,1,3,4,5] => [8,7,1,3,4,2,6,5] => [7,8,2,1,3,5,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,6,8,1,2,4,5] => [8,1,7,2,4,3,6,5] => [7,1,8,3,2,5,4,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,4,6,8,1,2,3,5] => [8,1,2,7,3,4,6,5] => [7,1,2,8,4,5,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,3,4,6,1,2,5,7] => [6,1,8,3,2,4,5,7] => [8,1,6,2,4,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,6,1,3,4,7] => [6,8,1,3,2,5,4,7] => [8,6,2,1,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,6,1,2,4,7] => [6,1,8,2,3,5,4,7] => [8,1,6,3,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,7,1,3,5,6] => [7,8,1,2,3,5,4,6] => [8,7,2,3,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,7,1,2,5,6] => [7,1,8,3,2,5,4,6] => [8,1,7,2,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,7,1,3,4,6] => [7,8,1,3,2,4,5,6] => [8,7,2,1,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,1,2,4,6] => [7,1,8,2,3,4,5,6] => [8,1,7,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,7,1,3,4,5] => [7,8,1,3,4,2,6,5] => [8,7,2,1,3,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,7,1,2,4,5] => [7,1,8,2,4,3,6,5] => [8,1,7,3,2,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,5,1,3,7,8] => [5,6,1,4,2,3,7,8] => [5,4,2,6,3,1,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[3,7,2,5,1,4,6,8] => [5,7,3,1,2,4,6,8] => [5,3,7,2,4,1,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[4,7,2,5,1,3,6,8] => [5,7,1,4,2,3,6,8] => [5,4,2,7,3,1,6,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[5,7,3,4,1,2,6,8] => [4,1,7,3,5,2,6,8] => [5,1,4,2,7,3,6,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[4,7,2,6,1,3,5,8] => [6,7,1,4,3,2,5,8] => [6,4,2,7,1,5,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[3,8,2,5,1,4,6,7] => [5,8,3,1,2,4,6,7] => [5,3,8,2,4,1,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,8,2,5,1,3,6,7] => [5,8,1,4,2,3,6,7] => [5,4,2,8,3,1,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,8,2,4,1,3,6,7] => [4,8,1,2,5,3,6,7] => [5,4,2,3,8,1,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,3,4,1,2,6,7] => [4,1,8,3,5,2,6,7] => [5,1,4,2,8,3,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,3,6,1,2,4,7] => [6,1,8,2,5,3,4,7] => [6,1,5,3,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,8,3,4,1,2,5,7] => [4,1,8,3,2,6,5,7] => [6,1,4,2,3,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,8,2,7,1,3,5,6] => [7,8,1,4,3,5,2,6] => [7,4,2,8,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,8,3,7,1,2,5,6] => [7,1,8,4,2,5,3,6] => [7,1,4,8,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,2,7,1,3,4,6] => [7,8,1,3,5,4,2,6] => [7,5,2,1,8,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,3,7,1,2,4,6] => [7,1,8,2,5,4,3,6] => [7,1,5,3,8,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,4,7,1,2,3,6] => [7,1,2,8,5,3,4,6] => [7,1,2,5,8,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,5,7,1,2,3,4] => [7,1,2,3,8,6,5,4] => [7,1,2,3,6,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,8,2,5,1,3,4,6] => [5,8,1,3,2,4,7,6] => [7,5,2,1,4,3,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,3,5,1,2,4,6] => [5,1,8,2,3,4,7,6] => [7,1,5,3,4,2,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,3,6,1,2,4,5] => [6,1,8,2,4,3,7,5] => [7,1,6,3,2,5,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,4,6,1,2,3,5] => [6,1,2,8,3,4,7,5] => [7,1,2,6,4,5,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,3,2,6,1,5,7,8] => [6,3,4,2,1,5,7,8] => [3,6,4,1,2,5,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[5,3,2,6,1,4,7,8] => [6,3,5,1,2,4,7,8] => [3,6,5,2,4,1,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[5,4,2,6,1,3,7,8] => [6,4,1,5,2,3,7,8] => [4,6,2,5,3,1,7,8] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[6,3,2,5,1,4,7,8] => [5,3,6,1,2,4,7,8] => [5,6,3,2,4,1,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[5,3,2,7,1,4,6,8] => [7,3,5,1,2,4,6,8] => [3,7,5,2,4,1,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,4,3,7,1,2,6,8] => [7,1,4,5,3,2,6,8] => [4,1,7,5,2,3,6,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[6,5,3,7,1,2,4,8] => [7,1,5,2,6,3,4,8] => [5,1,7,3,6,4,2,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[7,3,2,5,1,4,6,8] => [5,3,7,1,2,4,6,8] => [5,7,3,2,4,1,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,5,2,4,1,3,6,8] => [4,5,1,2,7,3,6,8] => [7,4,2,3,5,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,4,2,8,1,3,6,7] => [8,4,1,5,2,3,6,7] => [4,8,2,5,3,1,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,8,1,2,6,7] => [8,1,4,5,3,2,6,7] => [4,1,8,5,2,3,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,4,2,8,1,3,5,7] => [8,4,1,6,3,2,5,7] => [4,8,2,6,1,5,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,8,1,2,5,7] => [8,1,4,6,2,3,5,7] => [4,1,8,6,3,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,5,2,8,1,3,4,7] => [8,5,1,3,6,2,4,7] => [5,8,2,1,6,4,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,5,4,8,1,2,3,7] => [8,1,2,5,6,4,3,7] => [5,1,2,8,6,3,4,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,4,2,8,1,3,5,6] => [8,4,1,7,3,5,2,6] => [4,8,2,7,1,3,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,8,1,2,5,6] => [8,1,4,7,2,5,3,6] => [4,1,8,7,3,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,5,2,8,1,3,4,6] => [8,5,1,3,7,4,2,6] => [5,8,2,1,7,3,6,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,4,2,5,1,3,6,7] => [5,4,1,8,2,3,6,7] => [5,8,2,4,3,1,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,2,4,1,3,6,7] => [4,5,1,2,8,3,6,7] => [8,4,2,3,5,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,6,1,2,4,7] => [6,1,5,2,8,3,4,7] => [6,1,8,3,5,4,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,6,2,4,1,3,5,7] => [4,6,1,2,3,8,5,7] => [8,4,2,3,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,5,1,2,4,7] => [5,1,6,2,3,8,4,7] => [8,1,5,3,4,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,7,1,3,4,6] => [7,5,1,3,8,4,2,6] => [7,8,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,6,2,7,1,3,4,5] => [7,6,1,3,4,8,2,5] => [7,8,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,6,3,7,1,2,4,5] => [7,1,6,2,4,8,3,5] => [7,1,8,3,2,6,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,4,7,1,2,3,5] => [7,1,2,6,3,8,4,5] => [7,1,2,8,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,7,2,4,1,3,5,6] => [4,7,1,2,3,5,8,6] => [8,4,2,3,1,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,5,1,3,4,6] => [5,7,1,3,2,4,8,6] => [8,5,2,1,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,1,2,4,6] => [5,1,7,2,3,4,8,6] => [8,1,5,3,4,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,6,1,2,4,5] => [6,1,7,2,4,3,8,5] => [8,1,6,3,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,6,1,2,3,5] => [6,1,2,7,3,4,8,5] => [8,1,2,6,4,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,5,8,1,4,7] => [8,6,3,1,2,5,4,7] => [3,6,8,2,4,1,5,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[4,6,3,5,8,1,2,7] => [8,1,6,4,3,5,2,7] => [4,1,6,8,2,3,5,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[3,7,2,6,8,1,4,5] => [8,7,3,1,4,2,6,5] => [3,7,8,2,1,5,4,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[5,7,2,6,8,1,3,4] => [8,7,1,3,5,2,6,4] => [5,7,2,1,8,4,3,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,7,3,6,8,1,2,4] => [8,1,7,2,5,3,6,4] => [5,1,7,3,8,4,2,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,7,2,4,8,1,3,5] => [8,7,1,2,3,6,4,5] => [6,7,2,3,4,8,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,7,3,5,8,1,2,4] => [8,1,7,2,3,6,5,4] => [6,1,7,3,4,8,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[3,8,2,5,7,1,4,6] => [7,8,3,1,2,4,5,6] => [7,3,8,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,8,2,4,7,1,3,6] => [7,8,1,2,5,3,4,6] => [7,5,2,3,8,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,8,3,6,7,1,2,5] => [7,1,8,4,2,3,6,5] => [7,1,4,8,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,2,6,7,1,3,4] => [7,8,1,3,5,2,6,4] => [7,5,2,1,8,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,3,6,7,1,2,4] => [7,1,8,2,5,3,6,4] => [7,1,5,3,8,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,2,4,7,1,3,5] => [7,8,1,2,3,6,4,5] => [7,6,2,3,4,8,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,2,5,7,1,3,4] => [7,8,1,3,2,6,5,4] => [7,6,2,1,4,8,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,3,5,7,1,2,4] => [7,1,8,2,3,6,5,4] => [7,1,6,3,4,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,4,5,7,1,2,3] => [7,1,2,8,4,6,5,3] => [7,1,2,6,3,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,8,2,4,6,1,3,5] => [6,8,1,2,3,4,7,5] => [7,6,2,3,4,5,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,2,5,6,1,3,4] => [6,8,1,3,2,5,7,4] => [7,6,2,1,4,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,3,5,6,1,2,4] => [6,1,8,2,3,5,7,4] => [7,1,6,3,4,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,3,2,6,8,1,5,7] => [8,3,4,2,1,6,5,7] => [3,6,4,1,2,8,5,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[5,3,2,6,8,1,4,7] => [8,3,5,1,2,6,4,7] => [3,6,5,2,4,8,1,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[5,4,2,6,8,1,3,7] => [8,4,1,5,2,6,3,7] => [4,6,2,5,3,8,1,7] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[6,4,2,5,8,1,3,7] => [8,4,1,6,2,5,3,7] => [4,8,2,6,3,1,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,5,8,1,2,7] => [8,1,4,6,3,5,2,7] => [4,1,8,6,2,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,3,2,7,8,1,4,6] => [8,3,5,1,2,4,7,6] => [3,7,5,2,4,1,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,2,7,8,1,3,6] => [8,4,1,5,2,3,7,6] => [4,7,2,5,3,1,8,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[5,4,3,7,8,1,2,6] => [8,1,4,5,3,2,7,6] => [4,1,7,5,2,3,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,5,3,7,8,1,2,4] => [8,1,5,2,6,3,7,4] => [5,1,7,3,6,4,8,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[7,3,2,5,8,1,4,6] => [8,3,7,1,2,4,5,6] => [3,8,7,2,4,5,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,5,8,1,3,6] => [8,4,1,7,2,3,5,6] => [4,8,2,7,3,5,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,8,1,3,6] => [8,5,1,2,7,3,4,6] => [5,8,2,3,7,4,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,8,1,2,6] => [8,1,5,3,7,2,4,6] => [5,1,8,2,7,4,6,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,3,2,6,8,1,4,5] => [8,3,7,1,4,2,6,5] => [3,8,7,2,1,5,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,6,8,1,3,5] => [8,4,1,7,3,2,6,5] => [4,8,2,7,1,5,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,6,8,1,2,5] => [8,1,4,7,2,3,6,5] => [4,1,8,7,3,5,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,5,2,6,8,1,3,4] => [8,5,1,3,7,2,6,4] => [5,8,2,1,7,4,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,8,1,2,4] => [8,1,5,2,7,3,6,4] => [5,1,8,3,7,4,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,6,2,4,8,1,3,5] => [8,6,1,2,3,7,4,5] => [6,8,2,3,4,7,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,6,3,5,8,1,2,4] => [8,1,6,2,3,7,5,4] => [6,1,8,3,4,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,4,2,5,7,1,3,6] => [7,4,1,8,2,3,5,6] => [7,8,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,2,4,7,1,3,6] => [7,5,1,2,8,3,4,6] => [7,8,2,3,5,4,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,2,6,7,1,4,5] => [7,3,8,1,4,2,6,5] => [7,8,3,2,1,5,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,4,2,6,7,1,3,5] => [7,4,1,8,3,2,6,5] => [7,8,2,4,1,5,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,4,3,6,7,1,2,5] => [7,1,4,8,2,3,6,5] => [7,1,8,4,3,5,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,2,6,7,1,3,4] => [7,5,1,3,8,2,6,4] => [7,8,2,1,5,4,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,3,6,7,1,2,4] => [7,1,5,2,8,3,6,4] => [7,1,8,3,5,4,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,2,4,7,1,3,5] => [7,6,1,2,3,8,4,5] => [7,8,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,6,3,4,7,1,2,5] => [7,1,6,3,2,8,4,5] => [7,1,8,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,3,5,7,1,2,4] => [7,1,6,2,3,8,5,4] => [7,1,8,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,7,2,4,6,1,3,5] => [6,7,1,2,3,4,8,5] => [8,6,2,3,4,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,6,1,2,4] => [6,1,7,2,3,5,8,4] => [8,1,6,3,4,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,2,6,1,4,8] => [6,7,5,1,3,2,4,8] => [6,5,7,3,2,4,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[6,3,7,2,5,1,4,8] => [5,7,6,1,2,3,4,8] => [7,5,6,3,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,4,7,2,5,1,3,8] => [5,7,1,6,2,4,3,8] => [7,5,2,6,4,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,4,7,3,5,1,2,8] => [5,1,7,6,3,4,2,8] => [7,1,5,6,3,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,3,6,2,5,1,4,8] => [5,6,7,1,2,3,4,8] => [7,6,5,3,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,4,6,3,5,1,2,8] => [5,1,6,7,3,4,2,8] => [7,1,6,5,3,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,4,8,2,6,1,3,7] => [6,8,1,5,4,2,3,7] => [6,5,2,8,1,4,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,3,8,2,5,1,4,7] => [5,8,6,1,2,3,4,7] => [8,5,6,3,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,3,5,1,2,7] => [5,1,8,6,3,4,2,7] => [8,1,5,6,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,2,4,1,3,7] => [4,8,1,2,6,5,3,7] => [6,4,2,3,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,5,8,3,4,1,2,7] => [4,1,8,3,6,5,2,7] => [6,1,4,2,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,3,8,2,7,1,4,6] => [7,8,5,1,3,4,2,6] => [7,5,8,3,2,1,6,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,8,2,7,1,4,5] => [7,8,6,1,4,3,2,5] => [7,6,8,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,4,8,3,7,1,2,5] => [7,1,8,6,2,4,3,5] => [7,1,6,8,4,3,5,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,5,8,2,7,1,3,4] => [7,8,1,3,6,5,2,4] => [7,6,2,1,8,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,3,8,2,5,1,4,6] => [5,8,7,1,2,4,3,6] => [8,5,7,3,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,3,4,1,2,6] => [4,1,8,3,7,2,5,6] => [7,1,4,2,8,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,4,8,3,6,1,2,5] => [6,1,8,7,2,3,4,5] => [8,1,6,7,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,2,5,1,4,7] => [5,6,8,1,2,3,4,7] => [8,6,5,3,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,4,1,3,7] => [4,6,1,2,8,5,3,7] => [8,4,2,3,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,2,5,1,4,6] => [5,7,8,1,2,4,3,6] => [8,7,5,3,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,2,4,1,3,6] => [4,7,1,2,8,3,5,6] => [8,4,2,3,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,4,1,2,6] => [4,1,7,3,8,2,5,6] => [8,1,4,2,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,2,6,1,4,5] => [6,7,8,1,4,2,3,5] => [8,7,6,3,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,2,6,1,3,5] => [6,7,1,8,3,2,4,5] => [8,7,2,6,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,6,1,2,5] => [6,1,7,8,2,3,4,5] => [8,1,7,6,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,3,5,1,2,4] => [5,1,7,2,3,8,6,4] => [8,1,5,3,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,7,1,6,8] => [7,3,4,5,2,1,6,8] => [3,7,4,5,1,2,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,4,2,7,1,3,8] => [7,4,1,5,6,2,3,8] => [4,7,2,5,6,3,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[7,5,3,2,6,1,4,8] => [6,3,5,1,7,2,4,8] => [3,7,6,2,5,4,1,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,6,3,2,5,1,4,8] => [5,3,6,1,2,7,4,8] => [5,7,3,2,4,6,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,6,4,2,5,1,3,8] => [5,4,1,6,2,7,3,8] => [5,7,2,4,3,6,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,6,5,2,4,1,3,8] => [4,5,1,2,6,7,3,8] => [7,4,2,3,5,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,5,4,3,8,1,2,7] => [8,1,4,5,6,3,2,7] => [4,1,8,5,6,2,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,5,3,2,8,1,4,6] => [8,3,5,1,7,4,2,6] => [3,8,5,2,7,1,6,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,8,1,3,6] => [8,4,1,5,7,3,2,6] => [4,8,2,5,7,1,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,8,1,2,6] => [8,1,4,5,7,2,3,6] => [4,1,8,5,7,3,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,6,4,3,8,1,2,5] => [8,1,4,6,2,7,3,5] => [4,1,8,6,3,7,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,6,5,2,8,1,3,4] => [8,5,1,3,6,7,2,4] => [5,8,2,1,6,7,4,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,8,1,2,4] => [8,1,5,2,6,7,3,4] => [5,1,8,3,6,7,4,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,6,3,2,5,1,4,7] => [5,3,6,1,2,8,4,7] => [5,8,3,2,4,6,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,4,2,5,1,3,7] => [5,4,1,6,2,8,3,7] => [5,8,2,4,3,6,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,4,2,7,1,3,6] => [7,4,1,5,8,3,2,6] => [4,8,2,7,5,1,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,3,2,7,1,4,5] => [7,3,6,1,4,8,2,5] => [3,8,7,2,1,6,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,4,2,7,1,3,5] => [7,4,1,6,3,8,2,5] => [4,8,2,7,1,6,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,5,3,7,1,2,4] => [7,1,5,2,6,8,3,4] => [5,1,8,3,7,6,4,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,7,4,2,6,1,3,5] => [6,4,1,7,3,2,8,5] => [6,8,2,4,1,5,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,4,3,6,1,2,5] => [6,1,4,7,2,3,8,5] => [6,1,8,4,3,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,5,3,6,1,2,4] => [6,1,5,2,7,3,8,4] => [6,1,8,3,5,4,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,6,2,5,1,3,4] => [5,6,1,3,2,7,8,4] => [8,5,2,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,7,2,6,1,5] => [6,7,8,4,1,2,3,5] => [7,6,4,8,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,3,7,2,6,1,4] => [6,7,8,1,5,2,3,4] => [7,6,5,3,8,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,4,7,3,6,1,2] => [6,1,7,8,5,3,4,2] => [7,1,6,5,8,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,3,7,2,5,1,4] => [5,7,8,1,2,6,3,4] => [7,6,5,3,4,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,4,7,2,5,1,3] => [5,7,1,8,2,6,4,3] => [7,6,2,5,4,8,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,8,3,6,2,5,1,4] => [5,6,8,1,2,3,7,4] => [7,6,5,3,4,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,5,6,2,4,1,3] => [4,6,1,2,8,5,7,3] => [7,4,2,3,6,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,4,3,8,2,7,1,5] => [7,8,4,6,1,3,2,5] => [6,4,8,7,3,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,3,8,2,7,1,4] => [7,8,5,1,6,3,2,4] => [6,5,8,3,7,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,4,8,2,7,1,3] => [7,8,1,5,6,4,2,3] => [6,5,2,8,7,1,4,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,5,3,8,2,6,1,4] => [6,8,5,1,7,2,3,4] => [7,5,8,3,6,4,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,3,7,2,6,1,5] => [6,7,4,8,1,2,3,5] => [7,6,8,4,3,5,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,3,7,2,6,1,4] => [6,7,5,1,8,2,3,4] => [7,6,8,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,3,7,2,5,1,4] => [5,7,6,1,2,8,3,4] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,7,2,5,1,3] => [5,7,1,6,2,8,4,3] => [8,5,2,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,6,2,5,1,4] => [5,6,7,1,2,3,8,4] => [8,6,5,3,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,6,2,5,1,3] => [5,6,1,7,2,4,8,3] => [8,6,2,5,4,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,3,2,8,1,7] => [8,3,4,5,6,2,1,7] => [3,8,4,5,6,1,2,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,2,8,1,4] => [8,3,5,1,6,7,2,4] => [3,8,5,2,6,7,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,5,4,2,7,1,3] => [7,4,1,5,6,8,2,3] => [4,8,2,5,7,6,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,5,3,2,6,1,4] => [6,3,5,1,7,2,8,4] => [3,8,6,2,5,4,7,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,5,4,2,6,1,3] => [6,4,1,5,7,2,8,3] => [4,8,2,6,5,3,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,6,4,2,5,1,3] => [5,4,1,6,2,7,8,3] => [5,8,2,4,3,6,7,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,7,6,5,2,4,1,3] => [4,5,1,2,6,7,8,3] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,6,7,4,5] => [8,1,2,7,4,3,6,5] => [7,1,2,8,3,5,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,1,2,5,3,4,6,7] => [8,1,5,3,2,4,6,7] => [5,1,8,2,4,3,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,1,2,6,3,4,5,7] => [8,1,6,3,4,2,5,7] => [6,1,8,2,3,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,1,2,6,3,4,8,5] => [7,1,6,3,8,2,4,5] => [7,1,8,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,2,6,3,7,4,5] => [8,1,6,7,4,2,3,5] => [6,1,8,7,2,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,1,2,8,6,3,5,7] => [4,1,6,2,3,8,5,7] => [8,1,4,3,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,8,7,3,5,6] => [4,1,7,2,3,5,8,6] => [8,1,4,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,5,6,3,4,7] => [8,1,6,3,2,5,4,7] => [6,1,8,2,4,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,1,2,5,7,3,4,6] => [8,1,7,3,2,4,5,6] => [7,1,8,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,2,7,6,3,4,5] => [8,1,6,3,4,7,2,5] => [6,1,8,2,3,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,1,2,5,8,7,3,6] => [4,1,7,2,5,3,8,6] => [5,1,4,3,8,2,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[3,1,8,2,7,4,5,6] => [3,8,1,7,4,5,2,6] => [7,3,2,8,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,1,7,2,6,4,8,5] => [3,7,1,6,8,2,4,5] => [7,3,2,8,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,1,8,2,6,7,4,5] => [3,8,1,7,4,2,6,5] => [7,3,2,8,1,5,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,1,4,2,3,5,8,6] => [7,4,2,1,3,8,5,6] => [4,8,1,3,2,7,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,4,2,3,7,5,6] => [8,4,2,1,7,5,3,6] => [4,7,1,3,8,2,6,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,1,7,2,3,4,5,6] => [8,7,2,3,4,5,1,6] => [7,8,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,5,2,3,7,4,6] => [8,5,2,7,1,4,3,6] => [5,8,1,7,4,2,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,1,4,2,8,3,6,7] => [5,4,8,1,2,3,6,7] => [5,8,4,3,2,1,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,1,4,2,7,3,8,6] => [5,4,7,1,2,8,3,6] => [5,8,4,3,2,7,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,4,2,6,3,8,5] => [7,4,6,1,8,2,3,5] => [4,8,7,3,6,5,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,5,2,6,3,4,7] => [8,5,6,3,1,2,4,7] => [5,8,6,1,4,3,2,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,5,2,7,3,4,6] => [8,5,7,3,1,4,2,6] => [5,8,7,1,4,2,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,5,2,6,3,8,4] => [7,5,6,8,1,2,3,4] => [6,8,7,5,4,3,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,4,2,6,7,3,5] => [8,4,7,1,3,2,6,5] => [4,8,7,3,1,5,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,5,2,6,7,3,4] => [8,5,7,3,1,2,6,4] => [5,8,7,1,4,3,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,1,4,8,2,7,5,6] => [3,8,1,4,7,5,2,6] => [4,3,2,7,8,1,6,5] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[3,1,8,5,2,4,6,7] => [3,5,1,2,8,4,6,7] => [8,3,2,1,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,5,2,4,8,6] => [3,5,1,2,7,8,4,6] => [8,3,2,1,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,6,2,4,5,7] => [3,6,1,2,4,8,5,7] => [8,3,2,1,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,6,2,4,8,5] => [3,6,1,2,7,8,5,4] => [8,3,2,1,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,5,2,7,8,4] => [3,5,1,6,8,4,7,2] => [7,3,2,6,5,1,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,1,4,5,2,3,6,7] => [8,5,2,1,4,3,6,7] => [5,8,1,3,2,4,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,4,8,2,3,5,6] => [7,8,2,1,3,5,4,6] => [8,7,1,3,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,6,2,3,8,5] => [7,6,2,1,8,4,3,5] => [7,8,1,3,6,4,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,8,5,2,3,4,6] => [7,5,2,3,8,4,1,6] => [7,8,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,8,6,2,3,4,5] => [7,6,2,3,4,8,1,5] => [7,8,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,6,5,2,3,8,4] => [7,5,2,6,8,1,4,3] => [6,8,1,7,5,4,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,1,4,5,2,8,3,7] => [6,5,8,1,4,2,3,7] => [6,8,5,3,1,4,2,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,4,6,2,7,3,5] => [8,6,7,1,3,4,2,5] => [6,8,7,3,2,4,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,6,5,2,7,3,4] => [8,5,6,2,7,1,3,4] => [5,8,7,2,6,4,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,1,4,8,6,2,5,7] => [3,6,1,4,2,8,5,7] => [4,3,2,8,1,6,5,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,1,4,7,6,2,8,5] => [3,6,1,4,7,8,5,2] => [4,3,2,8,7,6,1,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[8,1,7,5,6,2,3,4] => [8,6,2,3,7,5,1,4] => [6,8,1,2,7,3,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,4,5,6,2,8,3] => [7,6,8,1,4,5,2,3] => [7,8,6,3,1,2,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,1,4,5,8,7,2,6] => [3,7,1,4,5,2,8,6] => [4,3,2,5,8,1,7,6] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[3,1,4,8,6,7,2,5] => [3,7,1,4,2,8,6,5] => [4,3,2,8,1,7,5,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,1,8,5,6,7,2,4] => [3,7,1,2,8,5,6,4] => [8,3,2,1,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,6,7,2,3] => [8,7,2,1,4,5,6,3] => [7,8,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,8,1,3,6,4,5,7] => [8,2,1,6,4,3,5,7] => [2,6,1,8,3,5,4,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,7,1,3,6,4,8,5] => [7,2,1,6,8,3,4,5] => [2,7,1,8,6,5,4,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,8,1,3,6,7,4,5] => [8,2,1,7,4,3,6,5] => [2,7,1,8,3,5,4,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,6,1,5,3,8,4,7] => [6,2,5,8,1,3,4,7] => [2,6,8,5,4,3,1,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,4,1,8,6,3,5,7] => [4,2,6,1,3,8,5,7] => [2,8,4,3,1,6,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,8,7,3,5,6] => [4,2,7,1,3,5,8,6] => [2,8,4,3,1,5,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,7,6,3,8,5] => [4,2,6,1,7,8,5,3] => [2,8,4,3,7,6,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,1,5,6,3,4,7] => [8,2,6,3,1,5,4,7] => [2,6,8,1,4,3,5,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,8,1,5,7,3,4,6] => [8,2,7,3,1,4,5,6] => [2,7,8,1,4,5,6,3] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,8,1,7,6,3,4,5] => [8,2,6,3,4,7,1,5] => [2,6,8,1,3,7,5,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,1,2,4,8,5,7] => [3,1,6,2,8,4,5,7] => [8,1,3,2,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,2,4,7,5,6] => [3,1,8,2,7,5,4,6] => [7,1,3,2,8,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,3,1,2,4,7,8,5] => [3,1,6,2,8,4,7,5] => [7,1,3,2,6,5,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,3,1,2,8,4,6,7] => [3,1,5,8,2,4,6,7] => [8,1,3,5,4,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,2,7,4,8,6] => [3,1,5,7,2,8,4,6] => [8,1,3,5,4,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,2,6,4,8,5] => [3,1,7,6,8,2,4,5] => [7,1,3,8,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,3,1,2,6,7,8,4] => [3,1,5,8,2,6,7,4] => [6,1,3,5,4,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[5,8,1,2,3,7,4,6] => [8,1,2,7,5,4,3,6] => [5,1,2,7,8,3,6,4] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[8,6,1,2,3,7,4,5] => [6,1,2,8,3,7,4,5] => [8,1,2,6,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,2,8,3,6,7] => [4,1,5,8,3,2,6,7] => [8,1,5,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,2,7,3,8,6] => [4,1,5,7,3,8,2,6] => [8,1,5,4,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,6,3,5,7] => [4,1,8,6,2,3,5,7] => [8,1,4,6,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,2,7,3,4,6] => [8,1,7,3,5,4,2,6] => [5,1,7,2,8,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[8,7,1,2,6,3,4,5] => [7,1,6,3,4,2,8,5] => [6,1,8,2,3,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,7,1,2,6,3,8,4] => [7,1,6,8,5,2,3,4] => [6,1,7,5,8,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,4,1,2,6,7,3,5] => [4,1,8,7,2,3,6,5] => [8,1,4,7,3,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,2,6,7,3,4] => [8,1,7,3,5,2,6,4] => [5,1,7,2,8,4,3,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,4,1,2,6,7,8,3] => [4,1,5,8,3,6,7,2] => [6,1,5,4,2,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[4,3,1,8,2,7,5,6] => [3,4,8,2,7,5,1,6] => [7,4,3,1,8,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,3,1,6,2,7,8,5] => [3,4,6,2,8,1,7,5] => [7,4,3,1,6,5,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,3,1,5,2,4,6,7] => [3,8,5,1,2,4,6,7] => [8,3,5,2,4,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,8,2,4,5,6] => [3,7,8,1,4,5,2,6] => [8,7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,2,4,8,5] => [3,7,6,1,8,2,4,5] => [8,3,7,2,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,2,7,4,6] => [3,8,5,7,2,4,1,6] => [8,3,5,7,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,2,3,6,7] => [4,8,1,5,2,3,6,7] => [8,4,2,5,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,2,3,8,6] => [4,7,1,5,2,8,3,6] => [8,4,2,5,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,6,2,3,5,7] => [4,8,1,6,3,2,5,7] => [8,4,2,6,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,8,2,3,5,6] => [4,7,1,8,3,5,2,6] => [8,7,2,4,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,5,2,3,4,7] => [8,5,2,3,1,6,4,7] => [5,6,1,2,4,8,3,7] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[8,7,1,5,2,3,4,6] => [7,5,2,3,1,4,8,6] => [5,8,1,2,4,3,7,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,2,8,3,7] => [4,6,5,8,2,3,1,7] => [8,5,6,4,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,2,7,3,6] => [4,8,5,7,2,1,3,6] => [8,4,7,5,2,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,6,2,7,3,5] => [4,8,6,7,1,2,3,5] => [8,4,7,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,5,2,7,8,3] => [4,6,5,8,2,3,7,1] => [7,5,6,4,2,1,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,3,1,5,7,2,8,6] => [3,4,7,2,5,8,1,6] => [5,4,3,1,8,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,3,1,8,6,2,5,7] => [3,4,6,2,1,8,5,7] => [8,4,3,1,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,8,7,2,5,6] => [3,4,7,2,1,5,8,6] => [8,4,3,1,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,7,6,2,8,5] => [3,4,6,2,7,8,5,1] => [8,4,3,1,7,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,6,2,4,7] => [3,8,6,1,2,5,4,7] => [8,3,6,2,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,7,2,4,6] => [3,8,7,1,2,4,5,6] => [8,3,7,2,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,2,4,5] => [3,8,6,1,4,7,2,5] => [8,3,6,2,1,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,5,6,2,8,4] => [3,7,6,8,2,5,1,4] => [8,3,7,6,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,6,2,3,7] => [4,8,1,6,2,5,3,7] => [8,4,2,6,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,7,2,3,6] => [4,8,1,7,2,3,5,6] => [8,4,2,7,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,6,2,8,3] => [4,7,6,8,2,5,3,1] => [8,6,7,4,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,5,6,8,2,7] => [3,4,8,2,5,6,1,7] => [5,4,3,1,6,8,2,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[4,3,1,5,8,7,2,6] => [3,4,7,2,5,1,8,6] => [5,4,3,1,8,2,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[8,3,1,5,6,7,2,4] => [3,8,7,1,2,5,6,4] => [8,3,7,2,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,5,6,7,8,2] => [3,4,8,2,5,6,7,1] => [5,4,3,1,6,7,8,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[2,3,8,1,6,4,5,7] => [8,2,3,6,4,1,5,7] => [2,3,6,8,1,5,4,7] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,3,8,1,7,4,5,6] => [8,2,3,7,4,5,1,6] => [2,3,7,8,1,4,6,5] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,3,8,1,6,7,4,5] => [8,2,3,7,4,1,6,5] => [2,3,7,8,1,5,4,6] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[2,7,4,1,3,5,8,6] => [4,2,1,7,3,8,5,6] => [2,8,1,4,3,7,6,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,1,3,4,6,7] => [5,2,1,3,8,4,6,7] => [2,8,1,3,5,4,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,7,1,3,4,5,6] => [7,2,1,3,4,5,8,6] => [2,8,1,3,4,5,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,1,3,7,8,4] => [5,2,1,6,8,4,7,3] => [2,7,1,6,5,3,8,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,5,4,1,8,3,6,7] => [4,2,5,8,3,1,6,7] => [2,8,5,4,1,3,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,1,7,3,8,6] => [4,2,5,7,3,8,1,6] => [2,8,5,4,1,7,6,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,1,6,3,5,7] => [4,2,8,6,1,3,5,7] => [2,8,4,6,3,5,1,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,1,6,3,8,5] => [4,2,7,6,8,3,1,5] => [2,8,4,7,6,3,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,8,1,6,3,4,5] => [8,2,6,3,4,1,7,5] => [2,6,7,1,3,5,8,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[2,7,5,1,6,3,8,4] => [5,2,7,6,8,3,4,1] => [2,8,6,7,5,3,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,1,8,7,3,6] => [4,2,5,7,3,1,8,6] => [2,8,5,4,1,3,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,2,5,8,6] => [4,1,7,3,2,8,5,6] => [8,1,4,2,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,2,7,5,6] => [4,1,8,3,7,5,2,6] => [7,1,4,2,8,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,3,4,1,2,7,8,5] => [4,1,6,3,8,2,7,5] => [7,1,4,2,6,5,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,3,7,1,2,4,8,5] => [7,1,6,2,8,3,4,5] => [7,1,8,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,3,5,1,2,7,4,6] => [5,1,8,7,3,4,2,6] => [8,1,5,7,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,1,2,7,4,5] => [8,1,6,7,4,3,2,5] => [6,1,8,7,2,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,3,5,1,2,7,8,4] => [5,1,6,8,3,2,7,4] => [7,1,6,5,3,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,4,1,2,3,8,5] => [4,1,2,7,8,6,3,5] => [7,1,2,4,6,8,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,5,1,2,3,4,7] => [5,1,2,3,8,6,4,7] => [6,1,2,3,5,8,4,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,7,5,1,2,3,8,4] => [5,1,2,7,8,6,4,3] => [7,1,2,6,5,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,5,4,1,2,8,3,7] => [4,1,5,6,8,2,3,7] => [8,1,6,4,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,2,7,3,6] => [4,1,5,8,7,3,2,6] => [8,1,5,4,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,1,2,7,3,5] => [4,1,8,7,2,6,3,5] => [7,1,4,6,3,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,3,4,1,8,2,6,7] => [4,8,5,3,1,2,6,7] => [8,4,5,1,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,6,2,5,7] => [4,6,8,3,2,1,5,7] => [8,6,4,1,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,7,2,5,6] => [4,7,8,3,2,5,1,6] => [8,7,4,1,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,1,6,2,8,5] => [4,6,7,3,8,1,2,5] => [8,7,4,1,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,1,6,2,4,7] => [5,6,8,2,3,1,4,7] => [8,6,5,2,3,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,1,7,2,4,6] => [5,7,8,2,3,4,1,6] => [8,7,5,2,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,1,6,2,4,5] => [8,6,7,2,4,1,3,5] => [6,8,7,2,1,5,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,3,5,1,6,2,8,4] => [5,6,7,8,3,1,2,4] => [8,7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,6,2,3,7] => [4,5,2,8,6,1,3,7] => [8,5,1,4,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,7,2,3,6] => [4,5,2,8,7,3,1,6] => [8,5,1,4,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,1,6,2,3,5] => [4,8,1,6,3,2,7,5] => [7,4,2,6,1,5,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,5,1,6,2,3,4] => [5,8,1,3,6,2,7,4] => [7,5,2,1,6,4,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,3,4,1,8,7,2,6] => [4,7,5,3,1,2,8,6] => [8,4,5,1,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,6,7,2,5] => [4,7,8,3,2,1,6,5] => [8,7,4,1,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,6,7,2,3] => [4,5,2,8,7,1,6,3] => [8,5,1,4,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,1,7,5,6] => [8,2,3,4,7,5,1,6] => [2,3,4,7,8,1,6,5] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[2,3,7,5,1,4,8,6] => [5,2,3,1,7,8,4,6] => [2,3,8,1,5,7,6,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,7,6,1,4,8,5] => [6,2,3,1,7,8,5,4] => [2,3,8,1,7,6,4,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,8,5,1,7,4,6] => [5,2,3,8,7,1,4,6] => [2,3,8,5,7,4,6,1] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,8,6,1,7,4,5] => [6,2,3,8,1,7,4,5] => [2,3,8,6,4,7,5,1] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,6,5,1,7,8,4] => [5,2,3,6,8,4,7,1] => [2,3,7,6,5,1,8,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,7,4,5,1,3,8,6] => [5,2,1,7,4,8,3,6] => [2,8,1,5,3,7,6,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,8,5,1,3,4,6] => [5,2,1,3,8,4,7,6] => [2,7,1,3,5,4,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,7,6,5,1,3,8,4] => [5,2,1,6,7,8,3,4] => [2,8,1,7,5,6,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,5,1,8,3,7] => [5,2,8,6,4,1,3,7] => [2,8,5,6,1,4,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,6,1,7,3,5] => [6,2,7,8,3,4,1,5] => [2,8,7,6,3,4,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,6,5,1,7,3,4] => [5,2,6,3,8,7,1,4] => [2,8,6,1,5,7,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,1,2,8,6] => [5,1,7,3,4,8,2,6] => [8,1,5,2,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,6,1,2,8,5] => [6,1,7,3,8,4,2,5] => [8,1,7,2,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,1,2,4,6] => [5,1,8,3,7,4,2,6] => [8,1,5,2,7,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,6,1,2,4,5] => [6,1,8,3,4,7,2,5] => [8,1,6,2,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,5,1,2,8,4] => [5,1,6,7,8,4,3,2] => [8,1,7,6,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,5,1,8,2,7] => [5,8,6,3,4,1,2,7] => [8,5,6,1,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,5,1,7,2,6] => [5,7,8,3,4,2,1,6] => [8,7,5,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,6,1,7,2,5] => [6,7,8,3,2,4,1,5] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,5,1,7,2,4] => [5,6,7,3,8,1,2,4] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,5,1,7,2,3] => [5,7,2,6,4,8,1,3] => [8,5,1,7,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,5,1,7,8,2] => [5,8,6,3,4,1,7,2] => [7,5,6,1,2,4,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,3,4,8,6,1,5,7] => [6,2,3,4,1,8,5,7] => [2,3,4,8,1,6,5,7] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,8,7,1,5,6] => [7,2,3,4,1,5,8,6] => [2,3,4,8,1,5,7,6] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,7,6,1,8,5] => [6,2,3,4,7,8,5,1] => [2,3,4,8,7,6,1,5] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,8,5,6,1,4,7] => [6,2,3,1,8,5,4,7] => [2,3,8,1,6,4,5,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,8,7,6,1,4,5] => [6,2,3,1,4,7,8,5] => [2,3,8,1,4,6,7,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,7,5,6,1,8,4] => [6,2,3,8,7,5,1,4] => [2,3,8,6,7,1,5,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,8,4,5,6,1,3,7] => [6,2,1,8,4,5,3,7] => [2,8,1,6,3,4,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,5,7,1,3,6] => [7,2,1,8,4,3,5,6] => [2,8,1,7,3,5,6,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,7,5,6,1,3,4] => [6,2,1,3,7,5,8,4] => [2,8,1,3,6,4,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,5,6,1,8,3] => [6,2,8,7,4,5,1,3] => [2,8,6,7,1,3,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,4,5,7,1,2,6] => [7,1,8,3,4,2,5,6] => [8,1,7,2,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,5,6,1,2,4] => [6,1,8,2,7,5,3,4] => [8,1,6,3,7,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,8,7,1,6] => [7,2,3,4,5,1,8,6] => [2,3,4,5,8,1,7,6] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,8,6,7,1,5] => [7,2,3,4,1,8,6,5] => [2,3,4,8,1,7,5,6] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,8,5,6,7,1,4] => [7,2,3,1,8,5,6,4] => [2,3,8,1,7,4,5,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,8,4,5,6,7,1,3] => [7,2,1,8,4,5,6,3] => [2,8,1,7,3,4,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,1,2,3,4,5,6,9,7] => [8,1,2,3,4,5,9,6,7] => [9,1,2,3,4,5,8,7,6] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[3,1,4,5,6,7,8,9,2] => [3,9,1,4,5,6,7,8,2] => [4,3,2,5,6,7,8,9,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[2,9,1,3,4,5,6,7,8] => [9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[9,3,1,2,4,5,6,7,8] => [3,1,9,2,4,5,6,7,8] => [9,1,3,2,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[5,9,1,2,3,4,6,7,8] => [9,1,2,3,5,4,6,7,8] => [5,1,2,3,9,4,6,7,8] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[9,7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,9,6,8] => [9,1,2,3,4,5,7,6,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,9,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[2,3,9,1,4,5,6,7,8] => [9,2,3,1,4,5,6,7,8] => [2,3,9,1,4,5,6,7,8] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[9,5,4,1,2,3,6,7,8] => [4,1,2,5,9,3,6,7,8] => [9,1,2,4,5,3,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,9,7,6] => [9,1,2,3,4,5,8,6,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,3,4,9,1,5,6,7,8] => [9,2,3,4,1,5,6,7,8] => [2,3,4,9,1,5,6,7,8] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,4,5,9,1,6,7,8] => [9,2,3,4,5,1,6,7,8] => [2,3,4,5,9,1,6,7,8] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,5,6,9,1,7,8] => [9,2,3,4,5,6,1,7,8] => [2,3,4,5,6,9,1,7,8] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,5,6,8,1,9,7] => [8,2,3,4,5,6,9,1,7] => [2,3,4,5,6,9,8,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,5,6,7,9,1,8] => [9,2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,9,1,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[2,3,4,5,9,7,8,1,6] => [8,2,3,4,5,1,9,7,6] => [2,3,4,5,9,1,8,6,7] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,9,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[] => [] => [] => []
[3,5,2,6,1,4,8,7] => [6,5,3,1,2,4,8,7] => [3,5,6,2,4,1,8,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[3,5,2,6,4,1,8,7] => [4,6,3,5,1,2,8,7] => [4,3,6,5,2,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[3,5,2,7,4,8,1,6] => [8,5,3,7,2,1,4,6] => [3,5,8,7,2,4,6,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,5,2,7,4,8,6,1] => [6,5,3,8,2,7,1,4] => [3,6,8,5,2,7,4,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[4,5,7,2,3,8,6,1] => [6,8,1,4,5,7,3,2] => [5,4,2,6,8,7,1,3] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[4,5,7,2,3,8,1,6] => [8,7,2,4,5,1,3,6] => [4,5,1,7,8,3,6,2] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[4,5,6,2,3,1,8,7] => [3,6,2,4,5,1,8,7] => [4,3,1,5,6,2,8,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[4,5,6,2,1,3,8,7] => [2,6,1,4,5,3,8,7] => [4,2,1,5,6,3,8,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[3,5,1,6,4,2,8,7] => [5,4,3,6,1,2,8,7] => [3,5,6,4,2,1,8,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[4,5,6,1,3,2,8,7] => [6,3,1,4,5,2,8,7] => [3,4,2,5,6,1,8,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[4,5,6,3,1,2,8,7] => [3,1,6,4,5,2,8,7] => [4,1,3,5,6,2,8,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[4,5,7,3,2,8,1,6] => [8,3,7,4,5,1,2,6] => [3,5,4,7,8,2,6,1] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[4,5,7,3,2,8,6,1] => [6,3,8,4,5,7,1,2] => [4,5,3,6,8,7,2,1] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[4,6,7,3,8,2,5,1] => [5,8,7,4,2,6,3,1] => [6,4,5,7,2,8,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,6,7,3,8,2,1,5] => [2,8,7,4,1,6,3,5] => [4,2,6,7,3,8,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[4,6,7,3,8,1,2,5] => [8,1,7,4,2,6,3,5] => [4,1,6,7,3,8,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[4,5,7,3,1,8,2,6] => [3,7,8,4,5,1,2,6] => [5,4,3,7,8,2,6,1] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,5,7,1,3,8,2,6] => [7,8,1,4,5,2,3,6] => [5,4,2,7,8,3,6,1] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[3,5,1,7,4,8,2,6] => [5,8,3,7,1,2,4,6] => [5,3,8,7,4,2,6,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,1,5,7,4,8,3,6] => [2,1,8,7,5,3,4,6] => [2,1,5,7,8,4,6,3] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,5,7,4,8,6,3] => [2,1,6,8,5,7,3,4] => [2,1,6,5,8,7,4,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[3,5,1,7,4,8,6,2] => [5,6,3,8,1,7,2,4] => [6,3,8,5,4,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,5,7,1,3,8,6,2] => [7,6,1,4,5,8,3,2] => [4,5,2,7,8,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[4,5,7,3,1,8,6,2] => [3,7,6,4,5,8,2,1] => [5,3,4,7,8,6,1,2] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,6,7,3,8,1,5,2] => [8,5,7,4,1,6,3,2] => [4,6,5,7,3,8,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[4,6,7,3,8,5,1,2] => [5,1,8,4,7,6,2,3] => [5,1,4,7,6,8,3,2] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,6,7,3,8,5,2,1] => [2,5,8,4,7,6,1,3] => [5,2,4,7,6,8,3,1] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[5,6,7,8,3,1,4,2] => [3,8,4,2,5,6,7,1] => [5,3,4,1,6,7,8,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[5,6,7,8,1,3,4,2] => [8,4,1,3,5,6,7,2] => [4,5,2,1,6,7,8,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,6,7,1,8,3,5,2] => [7,5,8,4,3,6,1,2] => [5,6,4,7,1,8,3,2] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[3,6,1,7,8,4,5,2] => [6,5,3,8,4,1,7,2] => [3,6,7,5,1,4,8,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[2,1,6,7,8,4,5,3] => [2,1,5,8,4,6,7,3] => [2,1,6,5,3,7,8,4] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[2,1,6,7,8,4,3,5] => [2,1,4,8,3,6,7,5] => [2,1,6,4,3,7,8,5] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[3,6,1,7,8,4,2,5] => [6,4,3,8,2,1,7,5] => [3,6,7,4,1,5,8,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[4,6,7,1,8,3,2,5] => [7,3,8,4,2,6,1,5] => [4,6,3,7,1,8,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[5,6,7,8,1,3,2,4] => [8,3,1,2,5,6,7,4] => [3,5,2,1,6,7,8,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[4,5,7,2,1,8,3,6] => [2,7,8,4,5,3,1,6] => [5,2,4,7,8,1,6,3] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,6,7,2,8,1,3,5] => [8,7,1,4,3,6,2,5] => [4,6,2,7,1,8,5,3] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[4,6,7,2,8,3,1,5] => [3,8,7,4,2,6,1,5] => [6,3,4,7,1,8,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,6,7,2,8,3,5,1] => [5,7,8,4,3,6,2,1] => [6,5,4,7,1,8,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[3,6,2,7,8,4,5,1] => [5,6,3,8,4,2,7,1] => [6,3,7,5,1,2,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[3,6,2,7,8,4,1,5] => [4,8,3,6,2,1,7,5] => [4,3,7,6,1,5,8,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[3,6,2,7,8,1,4,5] => [8,6,3,1,4,2,7,5] => [3,6,7,2,1,5,8,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[3,5,2,7,1,8,4,6] => [7,5,3,8,2,4,1,6] => [3,7,8,5,2,1,6,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,4,2,1,7,8,5,6] => [2,4,3,1,8,5,7,6] => [3,2,4,1,7,5,8,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[3,4,1,2,7,8,6,5] => [4,1,3,2,6,8,7,5] => [3,1,4,2,7,6,8,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[3,5,2,7,1,8,6,4] => [7,5,3,6,2,8,1,4] => [3,5,8,7,2,6,4,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,6,2,7,8,1,5,4] => [8,6,3,5,1,2,7,4] => [3,5,6,7,4,2,8,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[3,6,2,7,8,5,1,4] => [5,8,3,2,6,1,7,4] => [5,3,7,1,6,4,8,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[3,6,2,7,8,5,4,1] => [4,5,3,8,6,2,7,1] => [5,3,7,4,6,1,8,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[4,6,7,2,8,5,3,1] => [3,5,8,4,7,6,2,1] => [5,4,3,7,6,8,1,2] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,6,7,2,8,5,1,3] => [5,8,2,4,7,6,1,3] => [5,4,1,7,6,8,3,2] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,6,7,2,8,1,5,3] => [8,7,5,4,1,6,2,3] => [4,5,6,7,3,8,2,1] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[4,5,7,2,1,8,6,3] => [2,7,6,4,5,8,1,3] => [4,2,5,7,8,6,3,1] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[4,5,7,1,2,8,6,3] => [7,1,6,4,5,8,2,3] => [4,1,5,7,8,6,3,2] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[3,5,1,7,2,8,6,4] => [5,7,3,6,1,8,2,4] => [5,3,8,7,4,6,2,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,1,5,7,3,8,6,4] => [2,1,7,6,5,8,3,4] => [2,1,5,7,8,6,4,3] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,6,7,8,3,5,4] => [2,1,8,5,3,6,7,4] => [2,1,5,6,4,7,8,3] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[3,6,1,7,8,2,5,4] => [6,8,3,5,2,1,7,4] => [5,3,6,7,2,4,8,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[4,6,7,1,8,2,5,3] => [7,8,5,4,2,6,1,3] => [5,4,6,7,2,8,3,1] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[5,6,7,8,1,2,4,3] => [8,1,4,2,5,6,7,3] => [4,1,5,3,6,7,8,2] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[5,6,7,8,2,1,4,3] => [2,8,4,1,5,6,7,3] => [4,2,5,3,6,7,8,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[5,6,7,8,2,4,1,3] => [4,8,1,2,5,6,7,3] => [5,4,2,3,6,7,8,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[5,6,7,8,2,4,3,1] => [3,4,8,1,5,6,7,2] => [5,4,3,2,6,7,8,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[5,6,7,8,1,4,2,3] => [8,4,2,1,5,6,7,3] => [4,5,1,3,6,7,8,2] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,6,7,1,8,5,2,3] => [7,5,2,4,8,6,1,3] => [4,6,1,7,5,8,3,2] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[3,6,1,7,8,5,2,4] => [6,5,3,2,8,1,7,4] => [3,6,7,1,5,4,8,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[2,1,6,7,8,5,3,4] => [2,1,5,3,8,6,7,4] => [2,1,6,3,5,7,8,4] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[3,6,1,7,8,5,4,2] => [6,4,3,5,8,1,7,2] => [3,4,7,6,5,2,8,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[4,6,7,1,8,5,3,2] => [7,3,5,4,8,6,1,2] => [3,6,4,7,5,8,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,7,8,1,4,3,2] => [8,3,4,1,5,6,7,2] => [3,5,4,2,6,7,8,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[5,6,7,8,4,1,3,2] => [4,3,1,8,5,6,7,2] => [3,5,2,4,6,7,8,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[3,4,2,1,6,5,8,7,10,9] => [2,4,3,1,6,5,8,7,10,9] => [3,2,4,1,6,5,8,7,10,9] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,5,6,4,3,8,7,10,9] => [2,1,4,6,5,3,8,7,10,9] => [2,1,5,4,6,3,8,7,10,9] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,7,8,6,5,10,9] => [2,1,4,3,6,8,7,5,10,9] => [2,1,4,3,7,6,8,5,10,9] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[3,4,2,1,7,8,6,5,10,9] => [2,4,3,1,6,8,7,5,10,9] => [3,2,4,1,7,6,8,5,10,9] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[2,1,4,3,6,5,9,10,8,7] => [2,1,4,3,6,5,8,10,9,7] => [2,1,4,3,6,5,9,8,10,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[3,4,2,1,6,5,9,10,8,7] => [2,4,3,1,6,5,8,10,9,7] => [3,2,4,1,6,5,9,8,10,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[2,1,5,6,4,3,9,10,8,7] => [2,1,4,6,5,3,8,10,9,7] => [2,1,5,4,6,3,9,8,10,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[6,7,8,9,10,5,4,3,2,1] => [2,3,4,5,10,6,7,8,9,1] => [6,2,3,4,5,7,8,9,10,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[6,5,8,7,3,4,1,2] => [4,1,7,3,6,5,8,2] => [6,1,4,2,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,6,7,4,5,8,1,2] => [8,1,3,7,4,6,5,2] => [3,1,6,7,2,8,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[2,6,7,4,5,1,8,3] => [5,2,8,7,4,6,1,3] => [2,7,5,6,1,8,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,7,4,5,2,3,8] => [1,5,2,7,4,6,3,8] => [1,6,2,5,3,7,4,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,5,4,7,6,2,3,8] => [1,6,2,5,4,7,3,8] => [1,5,2,7,3,6,4,8] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[2,5,4,7,6,1,8,3] => [6,2,7,5,4,8,3,1] => [2,7,5,8,1,6,3,4] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,5,4,7,6,8,1,2] => [8,1,3,5,4,7,6,2] => [3,1,5,7,2,8,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[5,4,3,8,7,6,1,2] => [6,1,4,5,3,7,8,2] => [4,1,8,5,2,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,3,8,4,5,7,1,2] => [7,1,6,8,4,3,5,2] => [7,1,8,6,2,4,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,3,5,6,8,7,1,2] => [7,1,4,3,5,6,8,2] => [4,1,5,2,6,8,7,3] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[3,2,5,6,1,8,7,4] => [6,3,2,7,5,1,8,4] => [3,6,1,5,8,4,7,2] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[4,2,5,6,8,1,7,3] => [8,4,7,2,5,6,1,3] => [4,6,5,2,7,8,3,1] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[5,2,4,8,6,1,7,3] => [6,5,8,2,4,7,3,1] => [6,8,5,2,1,7,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,2,8,4,5,1,7,3] => [5,6,7,8,4,2,1,3] => [8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,4,5,2,3,6] => [8,5,2,1,4,3,7,6] => [5,7,1,3,2,4,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[6,1,8,4,5,2,3,7] => [6,5,2,8,4,1,3,7] => [6,8,1,5,2,4,3,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,1,3,2,8,6,5,7] => [4,3,1,2,6,8,5,7] => [3,4,2,1,8,6,5,7] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[6,1,8,3,2,5,4,7] => [6,3,8,5,2,1,4,7] => [5,6,3,8,2,4,1,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[7,8,1,3,2,5,4,6] => [8,3,1,5,2,4,7,6] => [3,5,2,7,4,1,8,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[7,8,2,3,1,5,6,4] => [3,8,2,6,1,5,7,4] => [6,3,1,7,4,2,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[6,3,8,2,1,7,5,4] => [2,8,6,5,7,3,1,4] => [5,2,7,8,6,3,4,1] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[7,8,4,2,6,1,5,3] => [6,4,8,5,1,3,7,2] => [5,7,4,6,3,1,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,4,2,8,7,1,6,3] => [7,4,5,6,3,1,8,2] => [4,8,6,5,1,3,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,7,8,1,6,3] => [8,5,6,4,2,1,7,3] => [4,6,5,7,2,3,8,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,6,7,3,2,5,4,8] => [1,3,7,5,2,6,4,8] => [1,5,3,6,4,7,2,8] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[2,6,7,3,1,5,8,4] => [3,2,7,8,1,6,5,4] => [2,7,3,6,4,8,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,6,7,2,1,8,5,4] => [2,7,3,5,8,6,1,4] => [3,2,6,7,5,8,4,1] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[7,8,5,6,2,1,4,3] => [2,6,4,1,8,5,7,3] => [4,2,7,3,6,1,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,5,8,7,1,2,3,4] => [7,1,2,3,6,5,8,4] => [6,1,2,3,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,4,1,8,7,2,3,6] => [4,5,1,7,2,3,8,6] => [8,5,2,4,3,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,1,7,2,3,5] => [8,7,2,6,3,4,1,5] => [6,7,1,8,3,4,5,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,3,1,8,2,7,4,6] => [3,5,8,7,2,4,1,6] => [8,5,3,7,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,8,7,5,6] => [3,1,4,2,7,5,8,6] => [4,1,3,2,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,2,1,3,8,5,7,6] => [2,4,1,3,8,7,5,6] => [4,2,1,3,7,8,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[6,2,8,1,3,4,7,5] => [8,6,1,3,7,2,4,5] => [6,8,2,1,7,5,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,8,2,1,3,4,6,5] => [2,8,1,3,6,4,7,5] => [6,2,1,3,7,5,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[4,3,1,2,6,5,8,7] => [3,1,4,2,6,5,8,7] => [4,1,3,2,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[5,3,1,6,2,4,8,7] => [3,5,6,1,2,4,8,7] => [6,5,3,2,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,3,1,5,2,4,8,7] => [3,6,5,1,2,4,8,7] => [6,3,5,2,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,3,1,5,2,8,4,6] => [3,7,5,8,2,4,1,6] => [8,3,7,5,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,1,2,8,3,6] => [5,1,8,7,4,3,2,6] => [8,1,5,7,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,5,3,4,8,7] => [2,1,5,3,6,4,8,7] => [2,1,6,3,5,4,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[4,6,5,1,2,3,8,7] => [5,1,2,4,6,3,8,7] => [4,1,2,6,5,3,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[5,6,4,1,2,3,8,7] => [4,1,2,6,5,3,8,7] => [5,1,2,4,6,3,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[6,5,4,1,2,3,8,7] => [4,1,2,5,6,3,8,7] => [6,1,2,4,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,5,4,1,2,8,3,6] => [4,1,5,7,8,3,2,6] => [8,1,7,4,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,1,7,2,3,5] => [4,6,2,8,3,7,1,5] => [8,6,1,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,1,8,2,3,5] => [4,6,2,7,3,8,1,5] => [8,7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,1,8,2,3,5] => [4,7,1,8,3,6,2,5] => [7,6,2,4,1,8,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,7,4,1,2,8,3,6] => [4,1,7,8,5,2,3,6] => [7,1,5,4,8,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,7,1,5,2,8,4,6] => [7,5,3,8,1,4,2,6] => [3,7,8,5,4,1,6,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,1,7,5,3,8,4,6] => [2,1,5,7,8,3,4,6] => [2,1,8,7,5,4,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,8,5,3,7,4,6] => [2,1,5,8,7,3,4,6] => [2,1,8,5,7,4,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,8,1,5,2,7,4,6] => [8,5,3,7,1,4,2,6] => [3,5,8,7,4,1,6,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[4,8,5,1,2,7,3,6] => [5,1,8,4,7,2,3,6] => [5,1,4,8,7,3,6,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,8,4,1,2,7,3,6] => [4,1,8,7,5,2,3,6] => [7,1,4,5,8,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,7,4,1,6,2,3,5] => [4,7,1,6,3,2,8,5] => [8,4,2,6,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,7,1,2,3,4] => [7,1,2,3,5,8,6,4] => [5,1,2,3,8,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[2,1,7,6,8,3,4,5] => [2,1,8,3,4,7,6,5] => [2,1,7,3,4,8,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[4,7,6,1,8,2,3,5] => [6,7,1,4,3,8,2,5] => [7,4,2,8,1,6,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,7,6,8,1,2,3,4] => [8,1,2,3,5,7,6,4] => [5,1,2,3,7,8,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[5,4,7,1,2,8,3,6] => [7,1,8,5,4,3,2,6] => [7,1,5,8,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,4,6,1,8,2,3,5] => [6,8,2,7,3,4,1,5] => [8,6,1,7,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,6,7,2,4,5] => [3,8,7,1,4,2,6,5] => [8,3,7,2,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,8,2,4,5] => [3,7,8,1,4,2,6,5] => [8,7,3,2,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,7,2,8,4,6] => [3,5,7,8,2,4,1,6] => [8,7,3,5,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,7,8,5,6] => [3,1,4,2,8,5,7,6] => [4,1,3,2,7,5,8,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[2,1,4,3,8,7,5,6] => [2,1,4,3,7,5,8,6] => [2,1,4,3,8,5,7,6] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[3,4,1,2,8,7,5,6] => [4,1,3,2,7,5,8,6] => [3,1,4,2,8,5,7,6] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[7,3,1,8,6,2,4,5] => [3,7,6,1,4,8,2,5] => [8,3,7,2,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,6,2,3,5] => [7,6,2,8,3,1,4,5] => [7,8,1,6,3,5,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,8,1,6,2,3,5] => [8,6,2,7,3,1,4,5] => [6,8,1,7,3,5,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,4,8,1,2,7,3,6] => [8,1,7,5,4,3,2,6] => [5,1,7,8,2,3,6,4] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,5,8,1,2,7,3,6] => [8,1,7,4,5,3,2,6] => [4,1,5,7,8,2,6,3] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[3,5,1,8,2,7,4,6] => [5,8,3,7,1,4,2,6] => [5,3,8,7,4,1,6,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,1,5,8,3,7,4,6] => [2,1,8,7,5,4,3,6] => [2,1,5,7,8,3,6,4] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,6,8,7,3,4,5] => [2,1,7,3,4,6,8,5] => [2,1,6,3,4,8,7,5] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[3,6,1,8,7,2,4,5] => [6,7,3,2,4,1,8,5] => [6,3,8,1,2,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,6,8,7,1,2,3,4] => [7,1,2,3,5,6,8,4] => [5,1,2,3,6,8,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[7,5,8,6,1,2,3,4] => [6,1,2,3,8,7,4,5] => [8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,6,1,2,3,4] => [6,1,2,3,7,8,4,5] => [8,1,2,3,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,6,1,2,3,4] => [6,1,2,3,5,8,7,4] => [5,1,2,3,7,6,8,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[3,7,1,8,6,2,4,5] => [7,6,3,2,4,8,1,5] => [3,7,8,1,2,6,5,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,1,7,8,6,3,4,5] => [2,1,6,3,4,8,7,5] => [2,1,7,3,4,6,8,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[2,1,8,7,6,3,4,5] => [2,1,6,3,4,7,8,5] => [2,1,8,3,4,6,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,8,1,7,6,2,4,5] => [8,6,3,2,4,7,1,5] => [3,6,8,1,2,7,5,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[5,8,7,6,1,2,3,4] => [6,1,2,3,5,7,8,4] => [5,1,2,3,8,6,7,4] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,8,7,5,1,2,3,4] => [5,1,2,3,7,6,8,4] => [6,1,2,3,5,8,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,4,7,3,8,5,1,2] => [5,1,8,7,6,2,4,3] => [8,1,5,6,7,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,7,6,1,3,8] => [6,4,1,5,2,7,3,8] => [4,7,2,5,3,6,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[5,4,2,7,6,1,8,3] => [6,4,5,7,3,8,2,1] => [5,8,7,4,1,6,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,4,3,7,8,6,1,2] => [6,1,4,5,3,8,7,2] => [4,1,7,5,2,6,8,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,4,8,3,5,7,1,2] => [7,1,8,6,3,4,5,2] => [7,1,6,8,3,4,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,4,2,6,7,1,8,3] => [7,4,5,8,3,6,1,2] => [5,7,6,4,1,8,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[5,3,2,6,1,7,4,8] => [6,3,5,7,2,1,4,8] => [3,7,6,5,2,4,1,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,2,6,1,7,8,4] => [6,3,5,8,2,1,7,4] => [3,7,6,5,2,4,8,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,2,6,8,1,7,3] => [8,4,5,7,3,6,1,2] => [4,7,6,5,1,8,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[5,4,2,8,6,1,7,3] => [6,4,5,8,3,7,2,1] => [5,8,6,4,1,7,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,4,8,2,5,1,7,3] => [5,8,7,6,2,4,1,3] => [8,5,6,7,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,2,5,1,6,3] => [5,4,8,6,3,1,7,2] => [6,7,4,5,1,3,8,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[5,3,2,6,1,8,4,7] => [6,3,5,8,2,1,4,7] => [3,8,6,5,2,4,1,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,6,8,5,7] => [2,3,4,1,8,6,5,7] => [4,2,3,1,6,8,5,7] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[4,3,2,1,8,6,5,7] => [2,3,4,1,6,8,5,7] => [4,2,3,1,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[5,3,2,8,1,6,4,7] => [8,3,5,6,2,1,4,7] => [3,8,5,6,2,4,1,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,8,2,1,5,4,7] => [2,8,6,5,1,3,4,7] => [5,2,6,8,4,3,1,7] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[7,8,3,2,1,5,4,6] => [2,3,8,5,1,4,7,6] => [5,2,3,7,4,1,8,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[7,8,3,2,1,5,6,4] => [2,3,8,6,1,5,7,4] => [6,2,3,7,4,1,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[6,3,8,2,1,5,7,4] => [2,8,6,7,1,3,5,4] => [6,2,8,7,4,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,3,2,8,1,6,7,4] => [8,3,5,7,2,1,6,4] => [3,8,5,7,2,4,1,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,7,8,1,6,3] => [8,4,5,6,3,1,7,2] => [4,7,6,5,1,3,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[5,3,2,7,1,8,6,4] => [7,3,5,6,2,8,1,4] => [3,8,5,7,2,6,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,7,1,6,4,8] => [7,3,5,6,2,1,4,8] => [3,7,5,6,2,4,1,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[6,3,7,2,1,5,4,8] => [2,7,6,5,1,3,4,8] => [5,2,6,7,4,3,1,8] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[6,3,7,2,1,5,8,4] => [2,7,6,8,1,3,5,4] => [7,2,8,6,4,5,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,7,8,2,1,4,3] => [2,8,4,1,6,5,7,3] => [4,2,6,3,7,1,8,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[6,3,7,2,1,4,5,8] => [2,7,6,1,4,3,5,8] => [6,2,7,3,1,5,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[5,3,2,7,1,4,8,6] => [7,3,5,1,2,8,4,6] => [3,8,5,2,4,7,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,8,2,1,7,4,5] => [2,8,6,7,4,3,1,5] => [6,2,8,7,1,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,3,2,8,1,7,4,6] => [8,3,5,7,2,4,1,6] => [3,8,5,7,2,1,6,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,8,7,5,6] => [2,3,4,1,7,5,8,6] => [4,2,3,1,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,3,2,1,7,5,8,6] => [2,3,4,1,7,8,5,6] => [4,2,3,1,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,3,2,1,8,5,7,6] => [2,3,4,1,8,7,5,6] => [4,2,3,1,7,8,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[5,3,2,8,1,4,7,6] => [8,3,5,1,2,7,4,6] => [3,7,5,2,4,8,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[4,3,2,1,8,5,6,7] => [2,3,4,1,8,5,6,7] => [4,2,3,1,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,3,2,1,5,8,6,7] => [2,3,4,1,5,8,6,7] => [4,2,3,1,5,8,6,7] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[7,8,5,6,1,2,4,3] => [6,1,4,2,8,5,7,3] => [4,1,7,3,6,2,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[7,8,4,1,6,2,5,3] => [4,8,6,5,3,2,7,1] => [7,4,5,6,1,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,1,4,6,2,5,3] => [8,6,5,1,2,4,7,3] => [5,6,7,3,4,1,8,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[6,1,8,4,7,2,5,3] => [6,7,5,8,2,1,4,3] => [7,6,8,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,6,8,4,7,2,5,3] => [1,7,5,8,2,6,4,3] => [1,6,7,5,4,8,2,3] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,6,8,3,2,7,5,4] => [1,3,8,5,7,6,2,4] => [1,5,3,7,6,8,4,2] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[7,8,1,3,2,6,5,4] => [8,3,1,5,6,2,7,4] => [3,5,2,7,6,4,8,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[7,8,3,1,2,6,5,4] => [3,1,8,5,6,2,7,4] => [5,1,3,7,6,4,8,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[7,8,2,1,3,6,5,4] => [2,8,1,5,6,3,7,4] => [5,2,1,7,6,4,8,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[6,1,8,2,3,7,5,4] => [6,8,2,5,7,1,3,4] => [7,5,1,8,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,6,8,2,3,7,5,4] => [1,8,2,5,7,6,3,4] => [1,5,2,7,6,8,4,3] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,5,2,8,3,7,6,4] => [1,5,8,6,2,7,3,4] => [1,8,5,6,4,7,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,8,3,7,6,4] => [5,1,8,6,2,7,3,4] => [8,1,5,6,4,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,1,3,7,5,4] => [8,6,1,5,7,2,3,4] => [5,7,2,8,6,4,3,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[6,2,8,4,7,1,5,3] => [7,6,5,8,1,2,4,3] => [6,7,8,5,4,3,1,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,3,8,4,7,5,1,2] => [5,1,7,6,8,4,2,3] => [8,1,6,7,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,4,7,5,1,2] => [5,1,3,7,8,6,2,4] => [3,1,7,6,5,8,4,2] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[2,6,8,4,7,1,5,3] => [7,2,5,8,1,6,4,3] => [2,6,7,5,4,8,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,2,5,8,3,7,6,4] => [1,2,8,6,5,7,3,4] => [1,2,5,6,8,7,4,3] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[2,4,1,3,8,7,6,5] => [4,2,1,3,6,7,8,5] => [2,4,1,3,8,6,7,5] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[2,5,4,8,7,1,6,3] => [7,2,6,5,4,1,8,3] => [2,5,6,8,1,4,7,3] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[3,5,4,8,7,6,1,2] => [6,1,3,5,4,7,8,2] => [3,1,5,8,2,6,7,4] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[5,3,4,8,7,6,1,2] => [6,1,5,3,4,7,8,2] => [5,1,8,2,3,6,7,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,2,3,8,1,7,6,4] => [8,5,2,6,3,7,1,4] => [5,8,1,6,3,7,4,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,2,1,3,8,7,6,5] => [2,4,1,3,6,7,8,5] => [4,2,1,3,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,1,2,3,8,7,6,5] => [4,1,2,3,6,7,8,5] => [4,1,2,3,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,1,3,2,8,7,6,5] => [4,3,1,2,6,7,8,5] => [3,4,2,1,8,6,7,5] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[4,3,1,2,8,7,6,5] => [3,1,4,2,6,7,8,5] => [4,1,3,2,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[6,3,8,1,2,7,5,4] => [8,1,6,5,7,3,2,4] => [5,1,7,8,6,3,4,2] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[5,3,1,8,2,7,6,4] => [3,5,8,6,2,7,1,4] => [8,5,3,6,2,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,8,2,7,6,4] => [5,8,1,6,3,7,2,4] => [8,5,2,6,3,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,8,2,7,6,4] => [1,8,5,6,3,7,2,4] => [1,5,8,6,3,7,4,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,5,4,8,7,2,6,3] => [1,7,6,5,4,2,8,3] => [1,5,6,8,2,4,7,3] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[6,4,8,1,7,2,5,3] => [8,7,5,6,2,4,1,3] => [5,6,8,7,3,1,4,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,5,8,7,1,2,4,3] => [7,1,4,2,6,5,8,3] => [4,1,6,3,8,2,7,5] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[5,6,8,7,3,4,1,2] => [4,1,7,3,5,6,8,2] => [5,1,4,2,6,8,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[4,5,1,8,7,2,6,3] => [5,7,6,4,1,2,8,3] => [6,4,5,8,3,2,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,1,5,8,7,2,6,3] => [4,7,6,1,5,2,8,3] => [6,4,5,3,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,3,5,8,2,7,6,4] => [1,8,3,6,5,7,2,4] => [1,3,5,6,8,7,4,2] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[3,1,5,8,2,7,6,4] => [3,8,1,6,5,7,2,4] => [5,3,2,6,8,7,4,1] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[3,6,8,1,2,7,5,4] => [8,1,3,5,7,6,2,4] => [3,1,5,7,6,8,4,2] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[3,6,8,2,1,7,5,4] => [2,8,3,5,7,6,1,4] => [3,2,5,7,6,8,4,1] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[4,6,8,2,7,1,5,3] => [7,8,5,4,1,6,2,3] => [5,4,6,7,3,8,2,1] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[4,5,2,8,7,1,6,3] => [7,5,6,4,2,1,8,3] => [4,6,5,8,2,3,7,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,1,4,2,8,7,6,5] => [3,4,1,2,6,7,8,5] => [4,3,2,1,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[3,1,2,4,8,7,6,5] => [3,1,2,4,6,7,8,5] => [3,1,2,4,8,6,7,5] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[4,2,5,8,7,1,6,3] => [7,4,6,2,5,1,8,3] => [4,6,5,2,8,3,7,1] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[3,4,5,8,7,6,1,2] => [6,1,3,4,5,7,8,2] => [3,1,4,5,8,6,7,2] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[2,4,5,8,7,1,6,3] => [7,2,6,4,5,1,8,3] => [2,4,5,6,8,3,7,1] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[2,3,5,8,1,7,6,4] => [8,2,3,6,5,7,1,4] => [2,3,5,6,8,7,4,1] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[4,1,3,2,6,5,8,7] => [4,3,1,2,6,5,8,7] => [3,4,2,1,6,5,8,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[5,1,3,2,6,4,8,7] => [5,3,1,6,2,4,8,7] => [3,6,2,5,4,1,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[6,1,3,2,5,4,8,7] => [6,3,1,5,2,4,8,7] => [3,5,2,6,4,1,8,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[7,1,3,2,5,4,8,6] => [7,3,1,5,2,8,4,6] => [3,5,2,8,4,7,6,1] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[8,1,3,2,5,4,7,6] => [8,3,1,5,2,7,4,6] => [3,5,2,7,4,8,6,1] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[8,1,4,2,5,3,7,6] => [8,4,5,1,2,7,3,6] => [4,7,5,3,2,8,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[7,1,4,2,5,3,8,6] => [7,4,5,1,2,8,3,6] => [4,8,5,3,2,7,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,2,5,3,8,7] => [6,4,5,1,2,3,8,7] => [4,6,5,3,2,1,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[5,1,4,2,6,3,8,7] => [5,4,6,1,2,3,8,7] => [5,6,4,3,2,1,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[2,1,6,3,5,4,8,7] => [2,1,6,5,3,4,8,7] => [2,1,5,6,4,3,8,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[3,1,6,2,5,4,8,7] => [3,6,1,5,2,4,8,7] => [5,3,2,6,4,1,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,1,6,2,5,3,8,7] => [4,6,5,1,2,3,8,7] => [6,4,5,3,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,2,5,1,4,3,8,7] => [5,6,4,1,2,3,8,7] => [5,4,6,3,2,1,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[5,2,6,1,4,3,8,7] => [6,5,4,1,2,3,8,7] => [4,5,6,3,2,1,8,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[5,2,7,1,4,3,8,6] => [7,5,4,1,2,8,3,6] => [4,5,8,3,2,7,6,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[5,2,8,1,4,3,7,6] => [8,5,4,1,2,7,3,6] => [4,5,7,3,2,8,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[6,2,8,1,4,3,7,5] => [8,6,4,1,7,2,3,5] => [4,6,8,3,7,5,2,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[6,2,7,1,4,3,8,5] => [7,6,4,1,8,2,3,5] => [4,7,8,3,6,5,2,1] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,2,6,1,4,3,8,5] => [6,7,4,1,8,2,3,5] => [7,4,8,3,6,5,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,5,1,4,3,8,6] => [5,7,4,1,2,8,3,6] => [5,4,8,3,2,7,6,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,1,7,2,5,3,8,6] => [4,7,5,1,2,8,3,6] => [8,4,5,3,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,2,5,4,8,6] => [3,7,1,5,2,8,4,6] => [5,3,2,8,4,7,6,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,1,7,3,5,4,8,6] => [2,1,7,5,3,8,4,6] => [2,1,5,8,4,7,6,3] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,8,3,5,4,7,6] => [2,1,8,5,3,7,4,6] => [2,1,5,7,4,8,6,3] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[3,1,8,2,5,4,7,6] => [3,8,1,5,2,7,4,6] => [5,3,2,7,4,8,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,1,8,2,5,3,7,6] => [4,8,5,1,2,7,3,6] => [7,4,5,3,2,8,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,2,5,1,4,3,7,6] => [5,8,4,1,2,7,3,6] => [5,4,7,3,2,8,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[8,2,6,1,4,3,7,5] => [6,8,4,1,7,2,3,5] => [6,4,8,3,7,5,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,1,4,3,8,2,6,5] => [7,8,4,1,6,2,3,5] => [6,4,7,3,8,5,2,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,1,4,3,7,2,6,5] => [8,7,4,1,6,2,3,5] => [4,6,7,3,8,5,2,1] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[8,1,5,3,7,2,6,4] => [8,7,5,6,1,2,3,4] => [5,6,8,7,4,3,2,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[7,1,5,3,8,2,6,4] => [7,8,5,6,1,2,3,4] => [6,5,8,7,4,3,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,6,1,5,3,7,4] => [6,8,5,7,1,2,3,4] => [7,5,8,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,8,2,6,3,7,4] => [5,8,6,7,1,2,3,4] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,2,6,3,7,5] => [4,8,6,1,7,2,3,5] => [8,4,6,3,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,6,4,7,5] => [3,8,1,6,7,2,4,5] => [6,3,2,8,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,1,8,3,6,4,7,5] => [2,1,8,6,7,3,4,5] => [2,1,6,8,7,5,4,3] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[2,1,7,3,6,4,8,5] => [2,1,7,6,8,3,4,5] => [2,1,7,8,6,5,4,3] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[4,1,7,2,6,3,8,5] => [4,7,6,1,8,2,3,5] => [8,4,7,3,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,2,6,3,8,4] => [5,7,6,8,1,2,3,4] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,1,5,3,8,4] => [6,7,5,8,1,2,3,4] => [7,6,8,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,2,7,1,5,3,8,4] => [7,6,5,8,1,2,3,4] => [6,7,8,5,4,3,2,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,2,8,1,5,3,7,4] => [8,6,5,7,1,2,3,4] => [5,7,8,6,4,3,2,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,1,5,2,6,3,7,4] => [8,5,6,7,1,2,3,4] => [5,8,7,6,4,3,2,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,1,5,2,7,3,8,4] => [6,5,7,8,1,2,3,4] => [7,8,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,1,4,2,7,3,8,5] => [6,4,7,1,8,2,3,5] => [7,8,4,3,6,5,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,4,2,6,3,7,5] => [8,4,6,1,7,2,3,5] => [4,8,6,3,7,5,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,3,2,6,4,7,5] => [8,3,1,6,7,2,4,5] => [3,6,2,8,7,5,4,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,3,2,6,4,8,5] => [7,3,1,6,8,2,4,5] => [3,7,2,8,6,5,4,1] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,3,2,7,4,8,5] => [6,3,1,7,8,2,4,5] => [3,8,2,7,6,5,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,2,7,4,8,6] => [5,3,1,7,2,8,4,6] => [3,8,2,5,4,7,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,2,7,5,8,6] => [4,3,1,2,7,8,5,6] => [3,4,2,1,8,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,8,5,7,6] => [2,1,4,3,8,7,5,6] => [2,1,4,3,7,8,6,5] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,4,2,8,5,7,6] => [3,4,1,2,8,7,5,6] => [4,3,2,1,7,8,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[4,1,3,2,8,5,7,6] => [4,3,1,2,8,7,5,6] => [3,4,2,1,7,8,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[5,1,3,2,8,4,7,6] => [5,3,1,8,2,7,4,6] => [3,7,2,5,4,8,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[6,1,3,2,8,4,7,5] => [6,3,1,8,7,2,4,5] => [3,8,2,6,7,5,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,7,1,3,2,6,5] => [7,3,1,8,6,2,4,5] => [3,7,2,6,8,5,4,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[7,4,8,1,3,2,6,5] => [8,3,1,7,6,2,4,5] => [3,6,2,7,8,5,4,1] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[7,3,8,1,4,2,6,5] => [8,4,7,1,6,2,3,5] => [4,7,6,3,8,5,2,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,3,7,1,4,2,6,5] => [7,4,8,1,6,2,3,5] => [6,7,4,3,8,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[6,1,4,2,8,3,7,5] => [6,4,8,1,7,2,3,5] => [6,8,4,3,7,5,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,1,4,2,8,3,7,6] => [5,4,8,1,2,7,3,6] => [5,7,4,3,2,8,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[4,1,5,2,8,3,7,6] => [4,5,8,1,2,7,3,6] => [7,5,4,3,2,8,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,1,5,2,8,4,7,6] => [3,5,1,8,2,7,4,6] => [7,3,2,5,4,8,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,1,5,3,8,4,7,6] => [2,1,5,8,3,7,4,6] => [2,1,7,5,4,8,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,1,6,3,8,4,7,5] => [2,1,6,8,7,3,4,5] => [2,1,8,6,7,5,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,2,8,4,7,5] => [3,6,1,8,7,2,4,5] => [8,3,2,6,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,8,3,7,5] => [4,6,8,1,7,2,3,5] => [8,6,4,3,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,8,3,7,4] => [5,6,8,7,1,2,3,4] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,2,8,3,7,4] => [6,5,8,7,1,2,3,4] => [7,8,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,7,1,5,2,6,4] => [7,5,8,6,1,2,3,4] => [6,8,5,7,4,3,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,3,8,1,5,2,6,4] => [8,5,7,6,1,2,3,4] => [5,8,6,7,4,3,2,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,8,1,5,4] => [8,6,7,5,1,2,3,4] => [5,7,6,8,4,3,2,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[6,2,8,3,7,1,5,4] => [7,6,8,5,1,2,3,4] => [6,7,5,8,4,3,2,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,3,7,2,6,1,5,4] => [6,7,8,5,1,2,3,4] => [7,6,5,8,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,1,8,3,7,2,6,4] => [5,7,8,6,1,2,3,4] => [8,6,5,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,7,2,6,5] => [4,7,8,1,6,2,3,5] => [7,6,4,3,8,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,1,8,4,7,2,6,5] => [3,7,1,8,6,2,4,5] => [7,3,2,6,8,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,8,4,7,3,6,5] => [2,1,7,8,6,3,4,5] => [2,1,7,6,8,5,4,3] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[2,1,7,4,8,3,6,5] => [2,1,8,7,6,3,4,5] => [2,1,6,7,8,5,4,3] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[3,1,7,4,8,2,6,5] => [3,8,1,7,6,2,4,5] => [6,3,2,7,8,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,1,7,3,8,2,6,5] => [4,8,7,1,6,2,3,5] => [7,4,6,3,8,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,7,3,8,2,6,4] => [5,8,7,6,1,2,3,4] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,2,6,1,5,4] => [6,8,7,5,1,2,3,4] => [7,5,6,8,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,6,3,7,1,5,4] => [7,8,6,5,1,2,3,4] => [6,5,7,8,4,3,2,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,2,6,3,8,1,5,4] => [8,7,6,5,1,2,3,4] => [5,6,7,8,4,3,2,1] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[5,3,6,2,4,8,1,7] => [8,6,5,2,3,4,1,7] => [5,6,8,2,3,1,4,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,7,3,8,2,4,1,6] => [4,8,7,2,5,1,3,6] => [7,4,5,2,8,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,4,2,5,8,3,6,1] => [6,4,7,8,3,2,5,1] => [7,8,6,4,1,3,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,2,5,8,3,1,6] => [3,8,4,7,1,2,5,6] => [8,3,4,7,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,6,3,8,1,7] => [8,5,6,4,2,3,1,7] => [4,6,5,8,2,1,3,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[5,3,1,6,8,2,4,7] => [3,5,8,1,2,6,4,7] => [6,5,3,2,4,8,1,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,5,6,1,4,8,2,7] => [6,8,3,1,5,4,2,7] => [5,3,6,2,8,1,4,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[4,1,5,6,3,8,2,7] => [4,8,6,1,5,3,2,7] => [6,4,5,3,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,5,1,6,3,8,2,7] => [5,8,6,4,1,3,2,7] => [6,4,5,8,3,1,2,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,5,6,3,2,8,1,7] => [8,3,6,4,5,2,1,7] => [3,5,4,6,8,1,2,7] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[7,4,5,3,8,2,1,6] => [2,8,5,7,4,1,3,6] => [5,2,8,7,1,4,6,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,7,4,8,3,2,5,1] => [5,3,8,7,2,6,4,1] => [5,7,3,6,2,8,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,7,4,8,3,2,1,5] => [2,3,8,7,1,6,4,5] => [6,2,3,7,4,8,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,7,1,5,8,3,2,6] => [7,3,8,4,1,2,5,6] => [4,7,3,8,2,5,6,1] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[5,3,7,8,1,4,2,6] => [8,4,5,1,3,2,7,6] => [4,7,5,3,1,2,8,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,3,5,8,1,4,6,2] => [8,6,7,1,3,4,5,2] => [6,8,7,3,2,4,1,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,7,4,3,8,1,5,2] => [8,5,4,7,1,6,3,2] => [4,6,7,5,3,8,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[6,7,4,8,3,1,5,2] => [3,8,5,7,2,6,4,1] => [7,3,5,6,2,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,4,8,3,5,2,1] => [2,5,8,7,3,6,4,1] => [7,2,5,6,3,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,6,1,7,3,8,4,2] => [6,4,8,7,5,1,2,3] => [6,7,4,5,8,3,2,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,1,6,7,3,8,4,2] => [5,4,8,7,1,6,2,3] => [6,7,4,5,3,8,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,4,7,1,8,3,5,2] => [7,5,8,6,3,4,1,2] => [6,8,5,7,2,1,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,7,8,3,1,4,5,2] => [3,8,5,2,4,6,7,1] => [6,3,5,1,2,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,7,2,8,4,1,3,5] => [4,8,2,7,3,6,1,5] => [7,4,1,6,2,8,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,1,7,4,8,3,2,5] => [6,3,8,7,2,1,4,5] => [6,8,3,7,2,5,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,1,6,7,3,2,8,4] => [5,3,7,8,1,6,2,4] => [6,7,3,5,4,8,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[5,6,1,7,3,2,8,4] => [6,3,7,8,5,1,2,4] => [6,7,3,5,8,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,6,7,3,2,8,4,1] => [4,3,8,7,5,6,1,2] => [4,6,3,5,7,8,2,1] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[5,6,2,7,3,8,4,1] => [4,8,6,7,5,3,1,2] => [7,4,6,5,8,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,2,1,7,3,8,4] => [2,6,7,8,5,1,3,4] => [7,2,6,5,8,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,1,7,4,2,8,3,5] => [6,4,7,8,2,1,3,5] => [7,8,6,4,2,5,3,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,7,3,1,8,2,4,6] => [3,7,8,1,5,4,2,6] => [7,5,3,2,8,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,7,1,5,2,8,3,6] => [7,5,8,4,1,3,2,6] => [5,7,4,8,3,1,6,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[7,4,2,5,1,8,3,6] => [5,4,7,8,3,2,1,6] => [7,8,5,4,1,2,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,7,4,2,1,8,3,5] => [2,4,7,8,1,6,3,5] => [7,2,6,4,3,8,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,6,7,2,8,4,5,1] => [5,7,3,8,4,6,2,1] => [6,3,7,5,1,8,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[3,6,7,2,8,4,1,5] => [4,8,3,7,2,6,1,5] => [4,3,7,6,1,8,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[3,6,7,2,1,8,4,5] => [2,7,3,8,4,6,1,5] => [3,2,7,6,1,8,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[5,7,3,8,2,6,1,4] => [6,8,7,1,5,2,3,4] => [7,5,6,3,8,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,6,7,2,8,5,1,4] => [5,8,3,2,7,6,1,4] => [5,3,7,1,6,8,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[3,6,7,8,5,2,1,4] => [2,5,3,1,8,6,7,4] => [3,2,6,1,5,7,8,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[3,6,7,8,5,2,4,1] => [4,5,3,2,8,6,7,1] => [4,3,6,1,5,7,8,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[6,4,7,8,2,5,3,1] => [3,5,8,6,1,4,7,2] => [7,5,3,6,4,1,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,1,5,7,8,2,6,3] => [4,8,6,1,5,2,7,3] => [6,4,5,3,7,2,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,3,7,8,1,6,2,4] => [8,6,5,2,3,1,7,4] => [5,6,7,2,3,4,8,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[6,7,2,8,5,1,3,4] => [5,8,2,3,7,6,1,4] => [7,5,1,2,6,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,4,1,7,8,2,5,3] => [4,6,8,5,3,2,7,1] => [7,5,4,6,1,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,1,6,2,7,8,4,3] => [5,6,4,8,1,2,7,3] => [6,5,7,4,3,2,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[5,6,2,1,7,8,4,3] => [2,6,4,8,5,1,7,3] => [5,2,6,4,7,3,8,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[5,6,2,7,8,4,3,1] => [3,4,8,6,5,2,7,1] => [6,4,3,5,7,1,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,7,2,8,4,3,1] => [3,4,8,7,5,6,2,1] => [6,4,3,5,7,8,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,7,2,1,8,4,3] => [2,7,4,8,5,6,1,3] => [5,2,6,4,7,8,3,1] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[5,6,1,7,2,8,4,3] => [6,7,4,8,5,1,2,3] => [6,5,7,4,8,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[6,4,7,1,8,2,5,3] => [7,8,5,6,2,4,1,3] => [6,5,8,7,3,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,6,7,8,1,5,3,2] => [8,3,5,4,1,6,7,2] => [3,5,4,6,2,7,8,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[5,1,6,7,8,4,3,2] => [5,3,4,8,1,6,7,2] => [3,6,5,4,2,7,8,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,1,7,8,4,3,2] => [6,3,4,8,5,1,7,2] => [3,6,5,4,7,2,8,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[5,6,7,1,8,4,3,2] => [7,3,4,8,5,6,1,2] => [3,6,5,4,7,8,2,1] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[8,6,1,3,4,2,5,7] => [6,4,1,3,2,8,5,7] => [4,8,2,1,3,6,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,3,2,5,1,6,4,7] => [5,3,8,6,2,1,4,7] => [5,8,3,6,2,4,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,3,6,2,4,1,7] => [4,6,5,2,8,3,1,7] => [8,4,6,2,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,2,4,6,1] => [6,8,5,2,7,4,3,1] => [7,5,8,2,6,1,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,4,5,8,3,6,1] => [6,7,8,2,4,3,5,1] => [8,7,6,2,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,3,7,1,8,6] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[8,2,4,5,6,3,1,7] => [3,6,8,1,4,5,2,7] => [8,6,3,2,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,4,5,6,3,7] => [8,1,6,2,4,5,3,7] => [6,1,8,3,2,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,5,1,3,6,4,7] => [5,8,1,6,2,3,4,7] => [8,5,2,6,4,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,1,4,3,7] => [2,6,4,1,8,5,3,7] => [4,2,8,3,6,1,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,5,3,6,4,1,2,7] => [4,1,6,5,8,2,3,7] => [8,1,4,6,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,6,3,2,7] => [8,3,6,1,4,5,2,7] => [3,8,6,2,1,4,5,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,7,2,1,8,6] => [2,7,5,4,3,8,1,6] => [4,2,5,8,1,7,6,3] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[7,4,5,8,3,2,6,1] => [6,3,8,7,4,2,5,1] => [6,8,3,7,1,4,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,3,6,7,2,8,5,1] => [5,8,4,3,7,6,1,2] => [5,4,7,1,6,8,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[4,3,6,7,2,8,1,5] => [8,7,4,3,1,6,2,5] => [4,6,7,1,3,8,5,2] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,4,3,6,7,2,8,5] => [1,7,4,3,8,6,2,5] => [1,4,7,2,6,8,5,3] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[4,1,5,3,7,2,8,6] => [4,7,5,1,3,8,2,6] => [8,4,5,3,1,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,2,1,4,6,3] => [2,8,6,1,7,4,5,3] => [6,2,8,3,7,4,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,5,3,8,4,1,6,2] => [4,8,6,5,7,2,1,3] => [8,4,5,7,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,8,3,6,1,2] => [6,1,8,7,4,3,5,2] => [8,1,6,7,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,7,8,3,5,2] => [1,5,8,6,3,4,7,2] => [1,7,5,6,3,2,8,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,5,6,7,8,4,1,2] => [4,1,3,8,5,6,7,2] => [3,1,5,4,6,7,8,2] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[3,1,5,6,7,8,4,2] => [3,4,1,8,5,6,7,2] => [5,3,2,4,6,7,8,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[4,6,1,7,8,3,5,2] => [6,5,8,4,3,1,7,2] => [5,6,4,7,1,3,8,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[3,6,7,1,4,8,5,2] => [7,5,3,1,8,6,4,2] => [3,6,7,2,5,8,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[2,6,7,1,4,8,3,5] => [7,2,8,1,3,6,4,5] => [2,7,6,3,4,8,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,3,6,7,8,1,2,5] => [8,1,4,3,2,6,7,5] => [4,1,6,2,3,7,8,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,5,3,6,7,8,2,4] => [1,8,5,2,3,6,7,4] => [1,5,6,3,4,7,8,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[3,5,6,7,8,2,1,4] => [2,8,3,1,5,6,7,4] => [3,2,5,1,6,7,8,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[3,5,6,7,8,2,4,1] => [4,8,3,2,5,6,7,1] => [4,3,5,1,6,7,8,2] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[5,2,7,1,3,8,4,6] => [7,5,1,8,2,4,3,6] => [7,8,2,5,4,1,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,3,1,7,8,2,4,6] => [3,5,8,1,2,4,7,6] => [7,5,3,2,4,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,5,2,7,8,1,3,6] => [8,5,1,4,2,3,7,6] => [4,5,2,7,3,1,8,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[4,2,6,7,8,3,1,5] => [3,8,4,1,2,6,7,5] => [6,3,4,2,1,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[3,6,2,7,4,8,5,1] => [5,8,3,6,7,4,1,2] => [5,3,8,7,6,1,4,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,2,1,6,4,7,8,5] => [2,3,1,6,8,4,7,5] => [3,2,1,7,6,5,8,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[3,7,4,2,1,5,8,6] => [2,4,3,7,1,8,5,6] => [3,2,8,4,1,7,6,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,4,2,5,8,6] => [1,4,7,3,2,8,5,6] => [1,8,4,2,3,7,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,1,3,5,8,6] => [2,7,1,4,3,8,5,6] => [4,2,1,8,3,7,6,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[7,8,4,2,1,3,6,5] => [2,4,1,8,6,3,7,5] => [6,2,1,4,7,5,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[7,8,1,3,4,2,6,5] => [8,4,1,3,6,2,7,5] => [4,6,2,1,7,5,8,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[7,8,3,4,2,1,6,5] => [2,4,8,3,6,1,7,5] => [6,2,4,1,7,5,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[6,3,2,7,1,8,5,4] => [7,3,6,5,8,2,1,4] => [3,7,6,8,5,2,4,1] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,2,7,1,8,5,4] => [7,6,3,5,8,2,1,4] => [3,6,7,8,5,2,4,1] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[2,6,4,7,8,1,5,3] => [8,2,5,6,1,4,7,3] => [2,5,7,6,4,1,8,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,6,2,7,8,1,5,3] => [8,6,5,4,1,2,7,3] => [4,5,6,7,3,2,8,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[7,4,5,8,6,2,1,3] => [2,6,1,8,3,7,5,4] => [8,2,1,6,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,2,1,6,3,4] => [2,8,6,3,7,1,5,4] => [6,2,8,1,7,5,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,6,7,1,3,8,5,4] => [7,2,1,5,8,6,3,4] => [2,6,1,7,5,8,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[6,7,3,8,5,1,4,2] => [5,4,8,3,7,6,1,2] => [5,7,4,1,6,8,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[4,5,2,3,7,6,1,8] => [6,5,2,4,3,7,1,8] => [4,5,1,7,2,6,3,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[6,4,3,7,2,5,1,8] => [5,7,4,6,2,3,1,8] => [6,4,7,5,2,1,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[8,4,3,6,5,1,2,7] => [5,1,4,6,8,2,3,7] => [6,1,8,4,5,3,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,7,2,6,5,3,1,8] => [3,5,6,4,7,2,1,8] => [6,4,3,7,5,1,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[5,7,6,2,4,3,1,8] => [3,4,6,1,5,7,2,8] => [5,4,3,2,7,6,1,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,7,5,4,8,3,6,2] => [1,6,8,5,7,3,4,2] => [1,7,5,8,6,3,2,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,7,5,4,1,3,2,6] => [4,3,1,5,7,2,8,6] => [3,8,2,4,5,1,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,2,6,5,1,3,7] => [5,6,2,4,8,1,3,7] => [6,4,1,8,5,3,2,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,2,8,6,5,1,4,7] => [5,3,2,1,6,8,4,7] => [3,8,1,2,5,6,4,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,6,5,8,7,3] => [4,1,7,2,6,5,8,3] => [6,1,4,3,8,2,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,1,6,2,4,8,7,3] => [5,6,7,2,1,4,8,3] => [8,6,5,2,4,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,4,2,8,7,3] => [6,4,5,7,1,3,8,2] => [5,8,6,4,3,1,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,5,4,8,2,6,3] => [7,8,6,5,1,2,4,3] => [6,5,7,8,4,3,1,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,1,5,4,7,6,2,3] => [8,6,2,5,1,7,4,3] => [5,6,1,8,4,7,2,3] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,8,6,7,4,5,3,2] => [1,3,5,7,4,8,6,2] => [1,8,3,5,2,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,7,4,5,2,3] => [8,5,2,7,4,1,6,3] => [5,8,1,7,2,4,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,6,8,4,2,5,3] => [7,4,8,5,3,1,6,2] => [5,8,4,7,1,3,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,1,7,8,2,4,5,3] => [6,8,5,2,4,1,7,3] => [6,5,7,2,1,4,8,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[5,1,7,2,8,4,6,3] => [5,7,6,8,1,4,2,3] => [8,6,7,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,8,5,6,4] => [2,3,1,6,8,5,7,4] => [3,2,1,7,6,4,8,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[3,2,8,7,1,5,4,6] => [7,3,2,5,1,4,8,6] => [3,5,1,8,4,2,7,6] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[4,8,2,7,1,5,3,6] => [7,8,5,4,1,3,2,6] => [5,4,7,8,3,1,6,2] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[5,8,7,2,1,4,3,6] => [2,7,4,1,5,3,8,6] => [4,2,5,3,8,1,7,6] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[7,8,6,1,4,2,3,5] => [6,4,2,1,3,8,7,5] => [4,7,1,3,2,6,8,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[8,7,6,1,4,3,2,5] => [6,3,4,1,2,7,8,5] => [3,8,4,2,1,6,7,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,8,4,3,5,2] => [1,5,4,8,3,7,6,2] => [1,5,7,4,2,8,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,6,7,8,3,4,5,2] => [1,5,8,3,4,6,7,2] => [1,6,5,2,3,7,8,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[8,6,7,1,3,4,2,5] => [7,4,1,3,2,8,6,5] => [4,8,2,1,3,7,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,6,8,1,3,2,4,5] => [8,3,1,2,4,7,6,5] => [3,7,2,1,4,8,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[4,7,2,8,1,3,5,6] => [8,7,1,4,3,5,2,6] => [4,7,2,8,1,3,6,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[3,2,6,8,4,1,5,7] => [4,3,2,8,1,6,5,7] => [3,6,1,4,2,8,5,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[5,6,8,2,3,1,4,7] => [3,8,2,1,5,6,4,7] => [5,3,1,2,6,8,4,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[7,5,8,3,1,2,4,6] => [3,1,8,2,7,4,5,6] => [7,1,3,2,8,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,5,7,3,1,4,2,6] => [3,7,4,2,8,1,5,6] => [8,3,4,1,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,3,8,4,6,2] => [1,6,7,8,5,4,3,2] => [1,7,6,5,8,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[8,4,3,7,1,5,2,6] => [7,5,4,8,1,2,3,6] => [5,7,8,4,3,2,6,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[4,5,2,3,8,1,6,7] => [8,5,2,4,3,1,6,7] => [4,5,1,8,2,3,6,7] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[3,2,5,4,8,1,6,7] => [8,3,2,5,4,1,6,7] => [3,5,1,8,2,4,6,7] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[7,4,3,1,8,2,6,5] => [3,4,7,8,6,2,1,5] => [7,6,3,4,8,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,4,3,1,7,6,2,5] => [3,4,8,6,2,7,1,5] => [8,4,3,6,1,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,3,7,6,4,2] => [1,4,6,7,5,8,3,2] => [1,7,5,4,8,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,5,1,3,8,2,6,4] => [5,7,2,8,6,4,3,1] => [8,6,1,5,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,3,2,8,7,4] => [5,3,1,6,7,4,8,2] => [3,8,2,6,5,1,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,2,3,8,7,4] => [6,1,2,7,5,3,8,4] => [6,1,2,5,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,2,7,1,8,4,6,5] => [7,3,2,8,6,4,1,5] => [3,7,1,6,8,4,5,2] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[5,7,1,2,8,3,6,4] => [7,1,8,6,5,3,2,4] => [6,1,5,7,8,3,4,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,6,1,8,3,2,5,4] => [6,3,7,5,1,8,2,4] => [5,7,3,8,4,6,2,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,6,8,7,3,5,4,2] => [1,4,5,7,2,6,8,3] => [1,6,5,4,3,8,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,8,1,2,7,6,3,4] => [8,1,6,3,5,7,2,4] => [5,1,6,2,8,7,4,3] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[4,8,2,1,7,6,3,5] => [2,8,6,4,3,7,1,5] => [4,2,6,8,1,7,5,3] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[3,2,8,1,7,6,4,5] => [8,3,2,6,4,7,1,5] => [3,6,1,8,2,7,5,4] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[4,1,2,8,7,6,5,3] => [4,1,5,2,6,7,8,3] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,2,7,6,4,3] => [5,8,4,6,1,7,2,3] => [6,4,8,5,3,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,1,7,6,5,4,2,3] => [8,4,2,5,6,7,1,3] => [4,8,1,5,6,7,3,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,6,5,8,7,4] => [3,1,2,7,6,5,8,4] => [3,1,2,6,8,4,7,5] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[3,1,6,2,4,8,7,5] => [3,6,1,2,7,4,8,5] => [8,3,2,1,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,2,4,8,7,6] => [3,5,1,2,4,7,8,6] => [5,3,2,1,4,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[4,5,1,2,3,8,7,6] => [5,1,2,4,3,7,8,6] => [4,1,2,5,3,8,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[6,1,5,2,4,8,7,3] => [6,5,7,2,1,4,8,3] => [6,8,5,2,4,1,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,5,1,2,3,8,7,4] => [5,1,2,6,7,4,8,3] => [8,1,2,6,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,3,8,7,5] => [4,1,2,6,7,3,8,5] => [8,1,2,4,6,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,2,3,8,7,6] => [4,1,2,5,3,7,8,6] => [5,1,2,4,3,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,4,1,2,7,3,6,8] => [4,1,5,7,3,2,6,8] => [7,1,5,4,2,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,4,1,8,2,3,5,7] => [4,6,1,8,3,2,5,7] => [8,6,2,4,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,2,8,4,6,3] => [7,5,6,8,1,4,2,3] => [6,8,7,5,4,1,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,7,5,3,8,4,6,2] => [1,6,5,7,8,3,4,2] => [1,7,8,6,5,3,2,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[8,1,5,2,7,4,6,3] => [8,5,6,7,1,4,2,3] => [5,8,7,6,4,1,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,1,2,7,3,6,4] => [5,1,8,7,6,4,3,2] => [8,1,5,6,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,7,3,6,5] => [4,1,8,7,6,2,3,5] => [7,1,4,6,8,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,4,1,7,2,3,5,6] => [4,8,1,7,3,5,2,6] => [8,4,2,7,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,6,2,3,5,8] => [4,7,1,6,3,2,5,8] => [7,4,2,6,1,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,6,1,7,2,3,5,4] => [6,8,1,5,3,7,2,4] => [6,5,2,8,3,7,4,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,1,6,7,2,4,5,3] => [8,7,5,2,4,1,6,3] => [5,7,8,2,1,4,3,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,8,6,7,3,4,5,2] => [1,5,7,3,4,8,6,2] => [1,8,5,2,3,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,8,3,4,5,2] => [1,5,8,3,4,7,6,2] => [1,7,5,2,3,8,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,1,6,8,2,4,5,3] => [7,8,5,2,4,1,6,3] => [7,5,8,2,1,4,3,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,7,1,2,8,3,6,5] => [7,1,8,4,6,3,2,5] => [6,1,4,7,8,3,5,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,1,7,2,8,4,6,5] => [3,7,1,8,6,4,2,5] => [7,3,2,6,8,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,1,2,7,8,5,6,4] => [3,1,2,6,8,5,7,4] => [3,1,2,7,6,4,8,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,4,3,8,7,5,6,2] => [1,6,4,3,7,5,8,2] => [1,4,8,2,6,3,7,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,1,2,8,7,5,6,3] => [4,1,6,2,7,5,8,3] => [8,1,4,3,6,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,8,7,5,6,4] => [3,1,2,6,7,5,8,4] => [3,1,2,8,6,4,7,5] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,1,8,2,7,4,6,5] => [3,8,1,7,6,4,2,5] => [6,3,2,7,8,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,1,8,7,2,4,5,6] => [3,7,1,2,4,5,8,6] => [8,3,2,1,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,6,2,4,5,8] => [3,6,1,2,4,7,5,8] => [7,3,2,1,4,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,8,1,2,7,3,6,5] => [8,1,7,4,6,3,2,5] => [4,1,6,7,8,3,5,2] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[5,8,1,2,7,3,6,4] => [8,1,7,6,5,3,2,4] => [5,1,6,7,8,3,4,2] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,6,8,7,3,4,5,2] => [1,5,7,3,4,6,8,2] => [1,6,5,2,3,8,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[6,8,1,7,2,3,5,4] => [8,7,2,5,3,6,1,4] => [5,6,1,7,3,8,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[6,8,7,1,2,3,4,5] => [7,1,2,3,4,6,8,5] => [6,1,2,3,4,8,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,8,7,1,2,3,4,6] => [7,1,2,3,5,4,8,6] => [5,1,2,3,8,4,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,6,1,2,3,4,7] => [6,1,2,3,5,8,4,7] => [5,1,2,3,8,6,4,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,7,6,1,2,3,4,8] => [6,1,2,3,5,7,4,8] => [5,1,2,3,7,6,4,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[7,1,8,6,2,4,5,3] => [7,6,5,2,4,8,1,3] => [5,7,8,2,1,6,4,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,7,8,6,3,4,5,2] => [1,5,6,3,4,8,7,2] => [1,7,5,2,3,6,8,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,8,7,6,3,4,5,2] => [1,5,6,3,4,7,8,2] => [1,8,5,2,3,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,6,4,8,7] => [5,3,2,6,1,4,8,7] => [3,6,1,5,4,2,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[3,2,5,4,7,1,8,6] => [7,3,2,5,4,8,1,6] => [3,5,1,8,2,7,6,4] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[4,2,5,3,7,6,8,1] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[4,2,5,3,7,1,8,6] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,3,6,1,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[4,2,5,1,6,3,8,7] => [5,4,6,2,1,3,8,7] => [5,6,4,2,3,1,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[3,1,5,4,6,2,8,7] => [3,6,1,5,4,2,8,7] => [5,3,2,6,1,4,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,1,5,3,6,2,8,7] => [4,6,5,1,3,2,8,7] => [6,4,5,3,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,3,5,1,6,2,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[4,3,5,2,7,1,8,6] => [7,5,4,3,2,8,1,6] => [4,5,8,1,2,7,6,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,3,6,2,7,5,8,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,3,6,2,7,1,8,5] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[4,3,6,1,7,2,8,5] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,3,5,1,7,2,8,6] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,1,5,4,7,2,8,6] => [3,7,1,5,4,8,2,6] => [5,3,2,8,1,7,6,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,1,5,4,7,3,8,6] => [2,1,7,5,4,8,3,6] => [2,1,5,8,3,7,6,4] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[3,1,5,4,7,6,8,2] => [3,8,1,5,4,7,6,2] => [5,3,2,7,1,8,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,1,5,3,7,6,8,2] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,3,5,1,7,6,8,2] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[4,3,6,1,7,5,8,2] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,3,6,5,7,1,8,2] => [7,8,4,3,6,5,1,2] => [6,4,7,1,8,2,5,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,3,6,4,7,2,8,1] => [8,7,5,6,3,4,2,1] => [5,6,8,7,2,1,3,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,3,6,4,7,1,8,2] => [7,8,5,6,3,4,1,2] => [6,5,8,7,2,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,3,6,1,7,4,8,2] => [6,8,5,7,3,1,4,2] => [7,5,8,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,6,3,7,4,8,2] => [5,8,6,7,1,3,4,2] => [8,5,7,6,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,3,7,5,8,2] => [4,8,6,1,7,3,5,2] => [8,4,6,3,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,4,7,5,8,2] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,1,6,4,7,5,8,3] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[2,1,6,4,7,3,8,5] => [2,1,7,6,8,4,3,5] => [2,1,7,8,6,4,5,3] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[3,1,6,4,7,2,8,5] => [3,7,1,6,8,4,2,5] => [7,3,2,8,6,4,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,1,6,3,7,2,8,5] => [4,7,6,1,8,3,2,5] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,3,7,2,8,4] => [5,7,6,8,1,3,2,4] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,7,2,8,4] => [6,7,5,8,3,1,2,4] => [7,6,8,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,3,6,2,7,1,8,4] => [7,6,5,8,3,2,1,4] => [6,7,8,5,2,3,4,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,3,6,2,7,4,8,1] => [8,6,5,7,3,2,4,1] => [5,7,8,6,2,3,1,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[5,2,6,3,7,4,8,1] => [8,5,6,7,2,3,4,1] => [5,8,7,6,3,2,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,2,6,3,7,1,8,4] => [7,5,6,8,2,3,1,4] => [6,8,7,5,3,2,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,2,6,1,7,3,8,4] => [6,5,7,8,2,1,3,4] => [7,8,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,2,5,1,7,3,8,6] => [5,4,7,2,1,8,3,6] => [5,8,4,2,3,7,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,2,6,1,7,3,8,5] => [6,4,7,2,8,1,3,5] => [7,8,4,2,6,5,3,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,2,6,3,7,1,8,5] => [7,4,6,2,8,3,1,5] => [4,8,7,2,6,3,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,3,7,5,8,1] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,4,7,5,8,1] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[3,2,6,4,7,1,8,5] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[3,2,6,1,7,4,8,5] => [6,3,2,7,8,1,4,5] => [3,8,1,7,6,5,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,7,4,8,6] => [5,3,2,7,1,8,4,6] => [3,8,1,5,4,7,6,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,1,7,5,8,6] => [4,3,2,1,7,8,5,6] => [3,4,1,2,8,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[3,1,4,2,7,6,8,5] => [3,4,1,2,8,7,6,5] => [4,3,2,1,7,8,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[3,2,5,1,7,6,8,4] => [5,3,2,8,1,7,6,4] => [3,7,1,5,4,8,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[3,2,6,1,7,5,8,4] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,5,7,1,8,4] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[4,2,6,5,7,3,8,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,2,6,5,7,1,8,3] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[4,2,6,1,7,5,8,3] => [6,4,8,2,7,1,5,3] => [6,8,4,2,7,5,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,2,5,1,7,6,8,3] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[4,1,5,2,7,6,8,3] => [4,5,8,1,2,7,6,3] => [7,5,4,3,2,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,1,5,2,7,6,8,4] => [3,5,1,8,2,7,6,4] => [7,3,2,5,4,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,1,5,3,7,6,8,4] => [2,1,5,8,3,7,6,4] => [2,1,7,5,4,8,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,1,6,3,7,5,8,4] => [2,1,6,8,7,3,5,4] => [2,1,8,6,7,5,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,2,7,5,8,4] => [3,6,1,8,7,2,5,4] => [8,3,2,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,7,5,8,3] => [4,6,8,1,7,2,5,3] => [8,6,4,3,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,7,4,8,3] => [5,6,8,7,1,2,4,3] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,1,7,4,8,3] => [6,5,8,7,2,1,4,3] => [7,8,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,2,6,4,7,1,8,3] => [7,5,8,6,2,4,1,3] => [6,8,5,7,3,1,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,2,6,4,7,3,8,1] => [8,5,7,6,2,4,3,1] => [5,8,6,7,3,1,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,4,6,2,7,3,8,1] => [8,6,7,5,4,2,3,1] => [5,7,6,8,1,3,2,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[5,4,6,2,7,1,8,3] => [7,6,8,5,4,2,1,3] => [6,7,5,8,1,3,4,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,4,6,1,7,2,8,3] => [6,7,8,5,4,1,2,3] => [7,6,5,8,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,1,6,4,7,2,8,3] => [5,7,8,6,1,4,2,3] => [8,6,5,7,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,5,7,2,8,3] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,1,6,5,7,2,8,4] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,6,5,7,3,8,4] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[3,1,6,5,7,4,8,2] => [3,8,1,7,6,5,4,2] => [6,3,2,7,8,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,1,6,5,7,3,8,2] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,6,4,7,3,8,2] => [5,8,7,6,1,4,3,2] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,1,7,3,8,2] => [6,8,7,5,4,1,3,2] => [7,5,6,8,1,4,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,4,6,3,7,1,8,2] => [7,8,6,5,4,3,1,2] => [6,5,7,8,1,2,4,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,6,3,5,2,4,1,7] => [4,5,6,2,3,8,1,7] => [8,5,4,2,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,2,4,1,8,6] => [4,5,3,2,7,8,1,6] => [4,3,8,1,5,7,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,3,7,5,2,4,6,1] => [6,5,7,3,8,4,2,1] => [7,8,6,1,5,2,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,4,5,7,3,6,1] => [6,8,7,2,4,3,5,1] => [8,6,7,2,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,7,3,1,8,6] => [3,2,7,4,5,8,1,6] => [2,4,3,5,8,7,6,1] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[8,2,4,6,5,3,1,7] => [3,5,6,2,8,4,1,7] => [8,6,3,1,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,4,6,1,3,7] => [6,8,1,5,2,4,3,7] => [6,5,2,8,4,1,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,6,1,4,5,3,2,7] => [6,3,5,1,4,8,2,7] => [3,8,5,2,1,6,4,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,5,6,4,3,2,7] => [8,3,4,6,1,5,2,7] => [3,8,4,6,2,1,5,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,3,2,1,8,6] => [2,3,4,7,5,8,1,6] => [5,2,3,4,8,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,6,8,3,2,7,5,1] => [5,3,7,4,8,6,1,2] => [4,6,3,7,5,8,2,1] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[4,7,6,3,2,8,1,5] => [8,3,6,4,1,7,2,5] => [3,6,4,8,2,7,5,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,4,6,7,3,2,8,5] => [1,3,7,4,8,6,2,5] => [1,4,3,7,6,8,5,2] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[5,4,7,3,1,8,2,6] => [3,7,8,5,4,1,2,6] => [7,5,3,8,1,4,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,7,5,1,4,2,8,6] => [5,4,3,1,7,8,2,6] => [3,4,8,2,5,7,6,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[8,5,7,4,2,1,6,3] => [2,4,7,6,8,3,5,1] => [8,2,4,7,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,5,1,4,6,2] => [5,7,6,2,8,4,1,3] => [8,6,7,2,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,7,5,3,6,2] => [4,8,6,5,7,1,2,3] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,8,7,1,5,2] => [7,5,6,4,1,3,8,2] => [4,6,5,8,3,1,7,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,7,4,8,6,3,5,2] => [1,5,6,8,4,7,3,2] => [1,8,6,5,2,7,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,7,6,3,5,2,1] => [2,5,6,7,4,8,3,1] => [8,2,7,5,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,8,7,4,1,2] => [4,1,3,7,6,5,8,2] => [3,1,6,4,8,2,7,5] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[4,8,1,6,7,3,5,2] => [8,5,7,4,3,1,6,2] => [4,7,5,8,1,3,2,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[8,2,6,1,4,7,5,3] => [6,8,5,1,7,2,4,3] => [7,5,8,3,6,4,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,7,6,8,1,4,3,5] => [8,2,4,1,3,7,6,5] => [2,4,7,3,1,8,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[3,7,1,6,4,8,2,5] => [7,8,3,6,2,1,4,5] => [6,3,7,8,2,5,4,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,7,3,5,6,8,2,4] => [1,8,7,2,3,5,6,4] => [1,7,8,3,4,2,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,3,6,7,5,8,2,4] => [1,8,3,2,7,6,5,4] => [1,3,6,2,7,8,4,5] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[3,7,6,5,8,2,1,4] => [2,8,3,1,6,7,5,4] => [3,2,6,1,8,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[3,6,8,5,7,2,4,1] => [4,7,3,2,8,6,5,1] => [4,3,7,1,6,8,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[2,1,6,5,7,8,3,4] => [2,1,8,3,6,5,7,4] => [2,1,6,3,7,4,8,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[3,8,2,4,6,7,5,1] => [5,7,3,1,8,4,6,2] => [7,3,8,2,5,1,4,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,7,2,6,4,8,1,5] => [8,7,3,6,1,2,4,5] => [3,6,7,8,4,5,2,1] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[5,3,7,2,1,8,4,6] => [2,7,5,8,3,4,1,6] => [7,2,8,5,3,1,6,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,7,6,1,3,4,2,5] => [6,4,1,3,2,7,8,5] => [4,8,2,1,3,6,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,3,6,7,2,1,5,4] => [2,7,8,5,1,3,6,4] => [7,2,5,8,4,3,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,7,8,6,2,1,5,4] => [2,6,3,5,1,8,7,4] => [3,2,5,7,4,6,8,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[8,7,6,3,5,2,4,1] => [4,5,6,2,3,7,8,1] => [8,5,4,2,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,8,1,6,5,3] => [8,2,5,6,7,1,3,4] => [2,5,8,7,6,4,3,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,6,8,2,1,7,5,3] => [2,8,5,4,7,6,1,3] => [4,2,5,7,6,8,3,1] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[8,4,1,5,7,2,6,3] => [4,8,7,6,2,3,5,1] => [8,4,6,7,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,1,6,2,4] => [7,6,5,2,8,1,3,4] => [6,7,8,2,5,4,3,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,2,6,7,1,3,5,4] => [7,8,1,5,3,2,6,4] => [7,5,2,8,3,4,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,3,6,1,7,5,2,4] => [6,5,7,3,8,2,1,4] => [7,8,6,1,5,3,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,6,1,8,7,2,5,3] => [6,7,5,4,2,1,8,3] => [5,4,6,8,2,3,7,1] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[8,1,2,5,6,7,4,3] => [8,1,4,7,2,5,6,3] => [4,1,8,7,3,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,2,6,5,7,4,1,3] => [4,7,2,8,6,1,5,3] => [7,6,1,4,8,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,7,6,8,5,4,1,3] => [4,2,1,5,8,7,6,3] => [2,7,1,4,5,8,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,7,2,5,8,6,4,3] => [1,7,4,6,2,8,5,3] => [1,4,8,7,3,6,2,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,7,4,8,2,6,5,3] => [1,8,5,6,7,2,3,4] => [1,5,8,7,6,4,3,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,7,6,3,5,1,4,2] => [5,4,6,1,3,7,8,2] => [5,8,4,3,1,6,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,4,7,6,5,1,3,2] => [5,3,1,6,7,8,4,2] => [3,8,2,7,5,6,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,2,4,8,7] => [3,1,5,2,6,4,8,7] => [6,1,3,2,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[8,5,3,7,2,1,4,6] => [2,7,5,1,8,4,3,6] => [7,2,8,3,5,1,6,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,8,1,4,5,7,3,2] => [8,3,7,1,4,6,5,2] => [3,7,6,2,1,8,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[3,6,2,4,5,1,8,7] => [5,6,3,2,4,1,8,7] => [5,3,6,1,2,4,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[2,6,1,4,5,3,8,7] => [6,2,5,1,4,3,8,7] => [2,5,6,3,1,4,8,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[6,1,2,4,5,3,8,7] => [6,1,5,2,4,3,8,7] => [5,1,6,3,2,4,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[5,6,3,2,1,4,8,7] => [2,3,6,1,5,4,8,7] => [5,2,3,1,6,4,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[5,4,3,6,1,2,8,7] => [6,1,4,5,3,2,8,7] => [4,1,6,5,2,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[6,3,1,4,5,2,8,7] => [3,6,5,2,4,1,8,7] => [6,3,5,1,2,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,1,6,4,5,2,8,7] => [3,5,1,6,4,2,8,7] => [6,3,2,5,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[8,3,7,4,5,1,2,6] => [5,1,8,7,4,2,3,6] => [8,1,5,7,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,4,2,6,3,1] => [3,6,4,7,5,1,8,2] => [6,3,5,4,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,1,7,4,2,6,3,5] => [8,4,7,6,2,3,1,5] => [4,8,6,7,2,3,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,7,8,4,5,1,2,6] => [5,1,3,8,4,2,7,6] => [3,1,7,5,2,4,8,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[2,1,8,7,5,3,4,6] => [2,1,5,3,7,4,8,6] => [2,1,8,3,5,4,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,8,5,7,3,4] => [2,1,7,3,8,6,5,4] => [2,1,7,3,6,8,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[7,6,1,4,5,8,3,2] => [6,3,7,2,4,8,5,1] => [7,8,3,1,2,6,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,8,4,7,6,2,3] => [5,6,2,7,1,8,3,4] => [8,7,1,5,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,4,7,6,1,3] => [6,2,1,7,5,8,3,4] => [2,7,1,5,8,6,4,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,4,8,3,5,6,7,1] => [7,2,8,4,3,5,6,1] => [2,7,4,8,1,3,5,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,4,1,3,5,6,7,2] => [4,8,2,7,3,5,6,1] => [8,4,1,7,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,4,3,6,1,2] => [6,1,4,8,7,3,5,2] => [6,1,8,4,7,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,3,8,4,1,7,2] => [4,8,7,5,6,1,2,3] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,8,4,6,7,3] => [2,1,7,8,5,4,6,3] => [2,1,7,5,8,3,4,6] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[2,1,4,8,3,6,7,5] => [2,1,8,4,7,3,6,5] => [2,1,4,7,8,5,3,6] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[6,4,3,8,2,1,7,5] => [2,8,4,6,7,3,1,5] => [4,2,8,6,7,3,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,8,2,3,5,6,7,1] => [7,8,2,4,3,5,6,1] => [7,4,1,8,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,8,1,3,5,6,7,4] => [8,2,1,7,3,5,6,4] => [2,7,1,8,4,3,5,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,8,2,4,3,6,1,5] => [6,8,4,2,1,3,7,5] => [6,4,7,2,3,5,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[6,8,3,2,4,1,7,5] => [4,3,8,2,7,6,1,5] => [4,6,3,1,7,8,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[2,1,8,3,4,6,7,5] => [2,1,8,3,7,4,6,5] => [2,1,7,3,8,5,4,6] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[2,1,7,8,5,4,3,6] => [2,1,4,5,8,3,7,6] => [2,1,7,4,5,3,8,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[5,7,3,8,1,4,2,6] => [8,4,7,1,5,2,3,6] => [4,7,5,3,8,2,6,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,1,8,4,5,3,2,6] => [7,3,5,8,4,2,1,6] => [3,8,7,5,1,2,6,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,1,4,3,6,2,5] => [7,6,4,1,2,3,8,5] => [4,6,8,3,2,5,7,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[5,7,8,4,3,6,2,1] => [2,6,4,8,5,3,7,1] => [5,2,6,4,7,1,8,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[4,8,3,6,2,1,7,5] => [2,6,8,4,7,3,1,5] => [6,2,4,8,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,6,3,1,4,2,7,5] => [3,6,4,2,8,7,5,1] => [8,3,4,1,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,2,4,1,6] => [4,8,5,2,7,1,3,6] => [8,4,5,2,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,1,8,5,7,6] => [3,2,4,1,8,7,5,6] => [2,4,3,1,7,8,6,5] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[4,1,3,2,6,8,7,5] => [4,3,1,2,7,6,8,5] => [3,4,2,1,6,8,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[8,6,3,5,1,2,7,4] => [5,1,6,8,4,7,2,3] => [8,1,6,5,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,4,7,6,2,1] => [2,6,3,7,5,8,1,4] => [3,2,7,5,8,6,4,1] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[5,8,2,4,7,6,1,3] => [6,7,2,1,5,8,4,3] => [7,5,1,3,8,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,7,6,4,5,8,1,3] => [8,2,1,6,4,7,5,3] => [2,6,1,8,3,7,4,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,6,4,5,8,2,3] => [7,8,2,6,4,1,5,3] => [7,6,1,8,2,5,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,7,3,6,1,8,2,4] => [6,8,7,2,5,3,1,4] => [7,5,6,2,8,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,8,5,3,6,7,4] => [2,1,5,8,7,4,6,3] => [2,1,8,5,7,3,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,1,4,2,5,6,7,3] => [8,4,7,1,2,5,6,3] => [4,8,7,3,2,1,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,1,5,6,7,3] => [4,2,8,7,3,5,6,1] => [2,8,4,7,1,3,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,1,2,5,6,7,3] => [8,1,7,4,2,5,6,3] => [4,1,7,8,3,2,5,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[3,4,8,1,5,6,7,2] => [8,7,3,4,1,5,6,2] => [3,4,7,8,2,1,5,6] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[3,4,2,8,5,6,7,1] => [7,4,3,2,8,5,6,1] => [3,4,8,1,7,2,5,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[2,4,1,8,5,6,7,3] => [4,2,7,1,8,5,6,3] => [2,8,4,3,7,1,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,8,5,6,7,3] => [4,1,7,2,8,5,6,3] => [8,1,4,3,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,4,8,6,1,3] => [6,5,2,1,8,7,4,3] => [6,8,1,3,5,7,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,5,3,2,8,1,7,4] => [8,3,5,6,7,4,1,2] => [3,8,5,7,6,1,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,3,8,6,7,4] => [2,1,5,7,3,8,6,4] => [2,1,8,5,4,7,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,8,5,6,7,2] => [3,7,1,4,8,5,6,2] => [4,3,2,8,7,1,5,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[6,3,7,4,5,8,2,1] => [2,8,6,7,4,3,5,1] => [6,2,8,7,1,4,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,1,7,4,8,6,3,2] => [5,3,6,8,1,7,2,4] => [6,8,3,5,4,7,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,5,7,4,8,6,3,1] => [3,2,6,8,5,7,1,4] => [2,6,3,5,8,7,4,1] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,7,5,4,8,6,2,1] => [2,6,3,5,8,7,1,4] => [3,2,6,8,5,7,4,1] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[5,7,1,4,8,6,2,3] => [7,6,2,1,5,8,4,3] => [5,7,1,3,8,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[4,6,3,5,8,2,7,1] => [7,8,6,4,3,5,2,1] => [6,4,7,8,1,2,3,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,6,3,8,1,2,7,5] => [8,1,6,4,7,3,2,5] => [4,1,6,8,7,3,5,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[3,2,5,1,6,8,4,7] => [5,3,2,8,1,6,4,7] => [3,6,1,5,4,8,2,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[3,6,2,5,4,8,1,7] => [8,6,3,5,2,4,1,7] => [3,5,6,8,2,1,4,7] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[3,5,2,4,7,1,8,6] => [7,5,3,2,4,8,1,6] => [3,5,8,1,2,7,6,4] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,5,8,2,4,7,6,1] => [6,7,3,1,5,8,4,2] => [5,3,7,2,8,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[4,2,6,5,3,8,1,7] => [8,4,5,2,6,3,1,7] => [4,8,5,2,6,1,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,1,6,8,3,7] => [2,4,5,8,3,6,1,7] => [6,2,5,4,1,8,3,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,3,5,1,4,8,2,7] => [5,8,6,1,3,4,2,7] => [8,5,6,3,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,5,3,8,2,7] => [6,8,5,4,1,3,2,7] => [5,4,6,8,3,1,2,7] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[5,1,6,4,3,8,2,7] => [5,8,4,6,1,3,2,7] => [6,4,8,5,3,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,4,3,8,2,7,6,1] => [6,7,4,5,3,8,1,2] => [5,4,8,7,1,6,3,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,3,6,2,8,7,5,1] => [5,7,4,3,6,1,8,2] => [5,4,8,1,6,3,7,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,3,7,6,2,1,8,5] => [2,6,4,3,7,8,5,1] => [4,2,8,1,7,6,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,4,3,1,7,2,8,5] => [3,4,6,7,8,1,2,5] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,7,5,8,3,2,6] => [1,3,8,4,7,2,5,6] => [1,4,3,7,8,5,6,2] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[7,2,5,8,4,1,3,6] => [4,8,2,7,1,3,5,6] => [8,4,1,7,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,7,4,6,1,3] => [6,2,1,7,8,4,5,3] => [2,8,1,7,6,4,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,8,7,1,4,6,2] => [7,6,3,1,5,4,8,2] => [3,5,6,2,8,1,7,4] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[6,4,3,8,1,7,5,2] => [8,5,4,7,6,2,1,3] => [4,6,8,5,7,2,3,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,3,7,1,8,6,5,2] => [7,5,4,3,6,8,1,2] => [4,5,8,1,7,6,3,2] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,5,3,1,8,6,4,2] => [3,5,4,7,6,8,1,2] => [8,3,5,4,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,8,4,1,3,5] => [4,8,2,6,3,7,1,5] => [8,4,1,6,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,6,3,2,8,4] => [7,3,6,8,5,1,2,4] => [3,7,6,5,8,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,7,5,3,2,8,4] => [6,3,5,7,8,1,4,2] => [3,8,7,6,5,4,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,2,1,8,4] => [2,3,5,6,7,8,1,4] => [8,2,3,7,5,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,3,8,7,4,1] => [4,7,5,6,3,1,8,2] => [8,4,6,5,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,6,3,7,5,1] => [5,2,7,4,6,8,1,3] => [2,5,4,8,7,6,3,1] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,8,6,2,4,7,5,1] => [5,7,3,1,6,8,4,2] => [5,3,8,2,7,6,1,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,3,6,2,4,1,8,5] => [4,6,7,2,8,3,1,5] => [8,7,4,2,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,8,2,1,5,6] => [2,8,4,3,1,5,7,6] => [4,2,7,1,3,5,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[8,3,7,1,4,6,2,5] => [7,6,8,1,2,4,3,5] => [7,8,6,3,4,2,5,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,8,2,5,7,1,6,4] => [7,8,3,6,2,1,5,4] => [6,3,7,8,2,5,1,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,3,6,2,7,1,5,4] => [7,6,8,5,1,3,2,4] => [6,7,5,8,4,2,3,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,8,3,6,2,1,5,4] => [2,6,8,5,1,3,7,4] => [6,2,5,7,4,3,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[8,7,3,6,2,5,4,1] => [4,5,6,7,3,1,8,2] => [8,6,5,4,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,8,2,1,6,5,3] => [2,8,5,4,6,1,7,3] => [4,2,5,7,6,3,8,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[5,4,8,2,7,1,6,3] => [7,8,6,5,4,1,2,3] => [6,5,7,8,1,4,3,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,8,1,5,7,2,6,3] => [8,7,6,4,1,2,5,3] => [4,6,7,8,3,5,1,2] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[5,8,3,7,1,6,2,4] => [7,6,8,2,5,1,3,4] => [6,7,5,2,8,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,8,7,2,6,1,3,4] => [6,7,1,3,5,2,8,4] => [6,5,2,1,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,6,2,7,5,1,3,4] => [5,7,2,3,6,8,1,4] => [8,5,1,2,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,1,7,5,2,4] => [8,5,3,2,7,6,1,4] => [3,5,7,1,6,8,4,2] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[6,5,2,8,1,7,4,3] => [8,5,4,6,7,3,1,2] => [4,7,8,5,6,1,3,2] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[5,8,2,7,6,4,3,1] => [3,4,6,7,5,8,1,2] => [7,5,3,4,8,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,1,7,2,8,5,4,3] => [6,7,4,5,8,1,2,3] => [6,4,8,7,5,3,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,7,1,8,6,2,5,3] => [7,6,5,4,2,8,1,3] => [4,5,7,8,2,6,3,1] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[7,8,3,1,6,5,2,4] => [3,8,5,1,6,2,7,4] => [7,3,5,2,6,4,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,5,7,1,6,4,3,2] => [7,3,4,6,8,1,5,2] => [3,8,4,7,6,5,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,1,7,5,4,3,2] => [8,3,4,5,7,6,1,2] => [3,7,4,5,6,8,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[5,4,2,3,7,6,1,8] => [6,4,2,5,3,7,1,8] => [4,7,1,5,2,6,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[8,4,2,6,3,1,5,7] => [3,6,4,8,2,1,5,7] => [8,3,6,4,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,6,4,5,1,8] => [5,3,2,6,4,7,1,8] => [3,7,1,5,2,6,4,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,7,6,2,3,4,1,8] => [4,6,2,3,5,7,1,8] => [5,4,1,2,7,6,3,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,6,5,2,3,8,4,7] => [1,5,2,6,8,4,3,7] => [1,8,2,6,5,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,2,8,3,4,6] => [1,5,7,2,8,4,3,6] => [1,8,7,3,5,2,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,5,2,3,1,4,7] => [3,5,2,1,8,6,4,7] => [6,3,1,2,5,8,4,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,8,6,2,3,1,4,7] => [3,6,2,1,5,8,4,7] => [5,3,1,2,8,6,4,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,8,2,6,3,1,5,7] => [3,6,8,4,2,1,5,7] => [6,4,3,8,1,5,2,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,2,8,6,4,1,5,7] => [4,3,2,6,1,8,5,7] => [3,8,1,4,2,6,5,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,6,4,8,5,7] => [2,3,1,6,8,4,5,7] => [3,2,1,8,6,5,4,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[7,1,5,2,8,3,4,6] => [7,5,8,3,1,4,2,6] => [7,8,5,1,4,2,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,8,5,2,7,3,4,6] => [1,5,8,2,7,4,3,6] => [1,8,5,3,7,2,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,6,7,2,3,4,5] => [1,7,2,3,4,8,6,5] => [1,8,2,3,4,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,7,2,3,4,5] => [8,7,2,3,4,1,6,5] => [7,8,1,2,3,5,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,2,1,7,8,4,5,6] => [2,3,1,8,4,5,7,6] => [3,2,1,7,4,5,8,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[3,2,8,7,1,4,5,6] => [7,3,2,1,4,5,8,6] => [3,8,1,2,4,5,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,7,2,1,3,4,6] => [2,7,1,3,5,4,8,6] => [5,2,1,3,8,4,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,7,6,8,2,3,4,5] => [1,8,2,3,4,7,6,5] => [1,7,2,3,4,8,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,8,2,3,1,4,7] => [3,8,2,1,6,5,4,7] => [6,3,1,2,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,4,2,8,3,1,5,7] => [3,8,4,6,2,1,5,7] => [8,3,4,6,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,3,8,1,6,7] => [8,4,2,5,3,1,6,7] => [4,8,1,5,2,3,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,4,1,8,6,7] => [4,3,2,5,1,8,6,7] => [3,5,1,4,2,8,6,7] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[4,5,2,3,1,8,6,7] => [3,5,2,4,1,8,6,7] => [4,3,1,5,2,8,6,7] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[5,4,2,3,1,8,6,7] => [3,4,2,5,1,8,6,7] => [5,3,1,4,2,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[6,4,2,1,3,8,5,7] => [2,4,1,6,8,3,5,7] => [8,2,1,4,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,1,7,3,5,6] => [2,4,8,7,1,5,3,6] => [8,2,4,7,3,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,7,3,5,6] => [1,4,7,2,3,5,8,6] => [1,8,4,3,2,5,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => [1,5,7,2,8,3,6,4] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[8,5,1,2,7,3,4,6] => [5,1,8,2,7,4,3,6] => [8,1,5,3,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,2,8,3,4,6] => [5,1,7,2,8,4,3,6] => [8,1,7,3,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,2,3,8,4,7] => [5,1,2,6,8,4,3,7] => [8,1,2,6,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,3,8,5,7] => [2,6,1,4,8,3,5,7] => [4,2,1,8,6,5,3,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,7,2,1,8,3,5,6] => [2,7,8,4,3,5,1,6] => [7,2,4,8,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,6,1,8,2,3,4,5] => [6,7,1,3,4,8,2,5] => [8,7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,7,2,3,4,5] => [6,8,1,3,4,7,2,5] => [8,6,2,1,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,7,2,3,4,5] => [1,7,2,3,4,6,8,5] => [1,6,2,3,4,8,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,7,8,6,2,3,4,5] => [1,6,2,3,4,8,7,5] => [1,7,2,3,4,6,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,8,1,6,2,3,4,5] => [8,6,2,3,4,1,7,5] => [6,7,1,2,3,5,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,8,2,1,7,3,5,6] => [2,8,7,4,3,5,1,6] => [4,2,7,8,1,3,6,5] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[3,2,1,8,7,4,5,6] => [2,3,1,7,4,5,8,6] => [3,2,1,8,4,5,7,6] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[5,1,8,2,7,3,4,6] => [5,8,7,3,1,4,2,6] => [8,5,7,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,7,2,3,4,5] => [6,7,2,3,4,1,8,5] => [8,6,1,2,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,6,2,3,4,5] => [1,6,2,3,4,7,8,5] => [1,8,2,3,4,6,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,2,4,8,7] => [5,1,6,2,3,4,8,7] => [6,1,5,3,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,3,5,6,1,2,8,7] => [6,1,4,3,5,2,8,7] => [4,1,5,2,6,3,8,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[8,3,7,5,2,1,4,6] => [2,5,7,3,8,4,1,6] => [8,2,7,1,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,7,4,1,3,6] => [4,7,2,5,8,3,1,6] => [8,4,1,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,5,4,3,8,7] => [6,2,4,5,1,3,8,7] => [2,4,6,5,3,1,8,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[6,4,3,5,1,2,8,7] => [5,1,4,6,3,2,8,7] => [5,1,6,4,2,3,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[5,3,1,4,6,2,8,7] => [3,5,6,2,4,1,8,7] => [6,5,3,1,2,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,1,4,6,5,2,8,7] => [3,5,1,4,6,2,8,7] => [4,3,2,6,5,1,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[5,7,4,6,2,8,3,1] => [3,8,6,7,5,4,1,2] => [7,3,5,6,8,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,1,4,7,2,6,3,5] => [8,7,6,1,3,2,4,5] => [6,7,8,3,2,5,4,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[2,1,8,5,7,3,4,6] => [2,1,7,3,8,4,5,6] => [2,1,8,3,7,5,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[5,8,2,4,6,7,3,1] => [3,7,8,1,5,4,6,2] => [7,5,3,2,8,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,5,4,8,1,6,3,2] => [8,3,6,5,7,1,4,2] => [3,7,5,8,6,4,1,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,1,4,6,8,2,7,3] => [5,8,7,1,4,6,2,3] => [7,5,6,3,1,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,5,4,6,7,1,8,3] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[2,4,6,3,7,5,8,1] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[4,1,6,3,8,5,7,2] => [4,7,6,1,8,3,5,2] => [8,4,7,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,4,2,8,6,5,1] => [5,4,3,6,8,7,2,1] => [3,6,8,4,5,7,1,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[7,4,1,3,5,8,6,2] => [4,7,2,6,3,8,5,1] => [8,4,1,7,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,4,1,7,3,2] => [4,3,8,7,6,5,2,1] => [4,7,3,6,8,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,5,3,7,4,1,6,2] => [4,7,6,5,8,2,1,3] => [8,4,6,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,8,3,7,6,5] => [2,1,8,4,6,7,3,5] => [2,1,4,6,8,7,5,3] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[6,3,7,4,1,8,2,5] => [4,7,8,6,3,1,2,5] => [8,6,4,7,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,7,6,5,4] => [3,8,1,5,6,7,2,4] => [5,3,2,8,6,7,4,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,3,8,1,6,7,5,4] => [8,2,3,5,7,1,6,4] => [2,3,5,8,7,4,1,6] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[4,7,2,3,8,5,6,1] => [6,7,2,4,8,5,3,1] => [7,4,1,8,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,8,2,1,7,5,6,4] => [2,8,3,6,7,5,1,4] => [3,2,6,8,7,1,5,4] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[2,8,1,3,6,5,7,4] => [8,2,1,7,6,3,5,4] => [2,6,1,7,8,5,3,4] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,8,6,7,2,4,1,5] => [4,7,3,2,1,8,6,5] => [4,3,8,1,2,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,3,8,7,4,2,6,1] => [6,4,7,5,2,3,8,1] => [5,8,4,6,2,1,7,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,3,8,7,2,1,6,5] => [2,7,4,3,6,1,8,5] => [4,2,6,1,8,5,7,3] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[7,3,5,8,2,4,1,6] => [4,8,7,2,3,1,5,6] => [8,4,7,2,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,8,5,7,6] => [4,2,3,1,8,7,5,6] => [2,3,4,1,7,8,6,5] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[4,1,3,2,6,7,8,5] => [4,3,1,2,8,6,7,5] => [3,4,2,1,6,7,8,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[8,3,5,6,2,7,1,4] => [7,6,8,1,3,5,2,4] => [7,8,6,3,2,1,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,3,6,1,8,7,2,4] => [6,7,5,2,3,1,8,4] => [6,5,8,2,3,4,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,6,2,8,7,4,1,3] => [4,7,2,6,5,1,8,3] => [6,4,1,5,8,3,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,8,6,5,4,7,1,3] => [7,2,1,5,6,8,4,3] => [2,5,1,8,7,6,3,4] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[8,1,6,4,5,7,2,3] => [8,7,2,6,4,1,5,3] => [6,7,1,8,2,5,3,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,8,3,6,1,7,2,4] => [6,7,8,2,5,3,1,4] => [7,6,5,2,8,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,8,6,5,7,3,4] => [2,1,7,3,6,8,5,4] => [2,1,7,3,8,6,4,5] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[2,1,7,5,3,6,8,4] => [2,1,5,7,8,4,6,3] => [2,1,8,7,5,3,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[7,1,4,2,5,6,8,3] => [7,4,8,1,2,5,6,3] => [7,8,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,7,4,1,6,5,8,3] => [4,2,7,8,6,3,5,1] => [2,7,6,4,8,3,1,5] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,4,1,5,8,7,6,3] => [4,2,6,1,5,7,8,3] => [2,5,4,3,8,6,7,1] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[6,4,2,1,5,8,7,3] => [2,4,6,7,3,5,8,1] => [8,2,6,4,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,4,6,1,7,3] => [6,5,8,3,7,4,1,2] => [7,8,5,1,6,2,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,5,3,2,6,8,1,4] => [8,3,5,1,7,2,6,4] => [3,8,5,2,7,4,1,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,3,6,8,7,4] => [2,1,5,7,3,6,8,4] => [2,1,6,5,4,8,7,3] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[7,3,5,4,6,1,8,2] => [6,8,7,5,3,4,1,2] => [7,5,6,8,2,1,4,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,3,4,1,5,7,8,2] => [4,8,6,3,1,5,7,2] => [7,4,6,1,3,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,3,1,5,7,6,8,2] => [3,4,8,2,5,7,6,1] => [5,4,3,1,7,8,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[3,1,4,5,6,8,7,2] => [3,7,1,4,5,6,8,2] => [4,3,2,5,6,8,7,1] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[6,5,2,1,4,3,8,7] => [2,5,4,1,6,3,8,7] => [4,2,6,3,5,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[6,5,2,7,4,8,3,1] => [3,8,5,6,7,4,1,2] => [8,3,5,7,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,7,4,1,6,3] => [4,7,5,8,6,2,1,3] => [8,5,6,4,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,5,2,8,4,1] => [4,8,5,7,6,3,1,2] => [8,4,6,5,7,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,3,5,4,8,7] => [6,2,1,5,3,4,8,7] => [2,5,1,6,4,3,8,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[6,7,2,3,4,8,5,1] => [5,8,1,3,7,6,4,2] => [7,5,2,1,6,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,7,2,3,4,1,6,5] => [4,7,2,3,6,1,8,5] => [6,4,1,2,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,1,7,3,8,4,6,2] => [5,6,7,8,1,4,3,2] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,3,8,6,4,1] => [4,2,6,8,5,7,3,1] => [2,6,5,4,8,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,6,1,3,5,8,4,2] => [6,4,2,7,3,8,5,1] => [7,8,1,4,2,6,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,6,3,7,4,8,1,2] => [8,1,6,7,5,3,4,2] => [5,1,7,6,8,3,2,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[2,1,6,7,4,8,5,3] => [2,1,5,8,7,6,3,4] => [2,1,7,5,6,8,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,1,8,7,4,3,6,5] => [2,1,4,7,6,3,8,5] => [2,1,6,4,8,5,7,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[5,8,3,7,4,2,6,1] => [6,4,7,8,5,3,2,1] => [6,7,5,4,8,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[7,8,1,3,5,2,6,4] => [8,5,1,6,3,2,7,4] => [5,7,2,6,3,4,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,8,7,3,2,6,1,4] => [6,3,7,1,5,2,8,4] => [5,6,3,2,8,4,7,1] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[2,8,6,3,1,5,7,4] => [3,2,6,8,4,7,5,1] => [2,8,3,6,1,7,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,3,2,5,4,7] => [8,3,6,5,2,1,4,7] => [3,6,5,8,2,4,1,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[2,8,4,1,6,3,7,5] => [4,2,8,6,7,3,1,5] => [2,8,4,6,7,3,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,4,2,5,7,1,6] => [7,4,3,8,2,1,5,6] => [3,7,8,4,1,5,6,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[6,8,3,5,2,7,4,1] => [4,7,5,8,1,6,3,2] => [7,5,6,4,3,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,1,5,3,8,7,6,4] => [2,1,5,6,3,7,8,4] => [2,1,8,5,4,6,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,8,7,6,5,3] => [4,2,5,1,6,7,8,3] => [2,8,4,3,5,6,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,2,1,7,5,3,6] => [2,4,8,5,7,1,3,6] => [8,2,4,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,5,4,8,2,3] => [7,8,2,5,6,1,4,3] => [6,5,1,8,7,4,2,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,7,5,6,8,4,2,1] => [2,4,3,8,7,5,6,1] => [3,2,7,4,8,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[5,7,1,6,8,2,4,3] => [7,8,4,2,5,1,6,3] => [5,4,7,2,8,3,1,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[8,6,2,5,1,7,4,3] => [5,6,4,8,3,7,1,2] => [6,5,8,4,1,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,6,2,1,8,7,3,4] => [2,6,7,3,5,1,8,4] => [6,2,5,1,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,6,2,5,8,3,7,1] => [7,6,8,4,2,5,3,1] => [6,7,4,8,2,1,3,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[4,1,2,3,6,8,7,5] => [4,1,2,3,7,6,8,5] => [4,1,2,3,6,8,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[2,4,3,1,8,5,6,7] => [3,2,4,1,8,5,6,7] => [2,4,3,1,8,5,6,7] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[7,5,2,8,3,4,6,1] => [6,5,7,2,8,4,3,1] => [7,8,6,2,5,1,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,6,2,8,4,3,1,7] => [3,4,8,6,5,2,1,7] => [6,4,3,5,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,7,2,8,1,5,3,6] => [8,7,5,4,1,3,2,6] => [4,5,7,8,3,1,6,2] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[8,7,2,1,4,5,6,3] => [2,7,6,1,4,5,8,3] => [6,2,8,3,1,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,7,8,6,3,4,1,2] => [4,1,6,3,5,8,7,2] => [5,1,4,2,7,6,8,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[2,7,8,4,5,3,6,1] => [6,2,5,8,4,3,7,1] => [2,6,7,5,1,3,8,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,7,3,8,1,4,6,2] => [8,6,7,1,5,4,3,2] => [5,7,6,3,8,1,2,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[2,1,7,8,5,4,6,3] => [2,1,6,5,8,4,7,3] => [2,1,6,7,5,3,8,4] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[6,5,3,8,4,1,2,7] => [4,1,8,5,6,2,3,7] => [8,1,4,5,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,3,5,6,1,7] => [6,2,8,4,3,5,1,7] => [2,6,4,8,1,3,5,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,4,8,1,7,2,5,6] => [8,7,3,4,2,5,1,6] => [3,4,7,8,1,2,6,5] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[3,1,8,2,4,7,6,5] => [3,8,1,2,6,7,4,5] => [6,3,2,1,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,3,8,2,5,1,7,6] => [5,8,4,3,2,7,1,6] => [5,4,7,1,2,8,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[6,3,8,4,2,5,7,1] => [7,4,8,6,3,2,5,1] => [6,8,4,7,1,3,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,8,2,3,5,1,6,7] => [5,8,2,4,3,1,6,7] => [5,4,1,8,2,3,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,8,1,3,4,5,7,6] => [8,2,1,3,4,7,5,6] => [2,7,1,3,4,8,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,8,4,1,6,5,3,7] => [4,2,8,5,6,3,1,7] => [2,8,4,5,6,1,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,7,6,1,4,3,5] => [6,2,4,1,3,7,8,5] => [2,4,8,3,1,6,7,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,8,5,6,7,4,3,1] => [3,2,4,7,8,5,6,1] => [2,8,3,4,7,1,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,8,6,1,4,2,3] => [6,4,2,1,8,7,3,5] => [4,8,1,3,6,7,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,6,1,4,2,8] => [6,4,3,1,5,7,2,8] => [3,4,5,2,7,6,1,8] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[2,8,5,3,4,1,7,6] => [4,2,5,3,8,7,1,6] => [2,7,4,1,5,8,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,8,5,3,4,1,6,7] => [4,2,5,3,8,1,6,7] => [2,8,4,1,5,3,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,6,7,4,1,3] => [4,2,1,7,8,5,6,3] => [2,8,1,4,7,3,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,3,4,6,1,7] => [6,2,5,3,8,4,1,7] => [2,6,8,1,5,3,4,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,8,5,3,4,6,7,1] => [7,2,5,3,8,4,6,1] => [2,7,8,1,5,3,4,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[3,5,7,2,4,6,1,8] => [6,7,3,2,5,4,1,8] => [5,3,6,1,7,2,4,8] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[7,5,8,2,4,6,3,1] => [3,6,8,1,7,4,5,2] => [8,6,3,2,7,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,2,1,3,7,4] => [2,8,1,7,6,5,3,4] => [6,2,1,7,8,3,5,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,5,6,2,1,8,7,4] => [2,6,3,7,5,1,8,4] => [3,2,6,5,8,4,7,1] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[3,5,7,6,1,4,8,2] => [6,7,3,2,5,8,4,1] => [5,3,7,1,8,6,2,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,5,2,7,3,1,8,4] => [3,7,5,6,8,4,2,1] => [8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,7,6,8,5] => [4,1,2,3,8,7,6,5] => [4,1,2,3,7,8,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[5,1,6,7,4,3,8,2] => [5,8,4,7,1,6,3,2] => [6,4,7,5,3,8,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[5,1,2,8,6,4,7,3] => [5,1,7,6,2,8,4,3] => [8,1,5,7,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,3,7,4,1] => [4,7,5,6,8,1,3,2] => [8,4,7,6,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,8,7,5,6] => [4,1,2,3,7,5,8,6] => [4,1,2,3,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,1,2,3,8,6,5,7] => [4,1,2,3,6,8,5,7] => [4,1,2,3,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,1,2,3,8,6,7,5] => [4,1,2,3,7,8,6,5] => [4,1,2,3,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,1,2,3,7,6,5,8] => [4,1,2,3,6,7,5,8] => [4,1,2,3,7,6,5,8] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[4,1,2,3,8,5,7,6] => [4,1,2,3,8,7,5,6] => [4,1,2,3,7,8,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[5,6,8,2,3,1,7,4] => [3,8,2,7,5,6,1,4] => [5,3,1,6,7,8,4,2] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[7,5,2,8,3,4,1,6] => [4,5,7,2,8,1,3,6] => [8,7,4,2,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,3,7,1,4] => [7,5,6,1,8,3,2,4] => [6,8,7,3,5,2,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,1,6,7,4,3,2,8] => [5,3,4,7,1,6,2,8] => [3,6,5,4,2,7,1,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[7,1,6,8,4,3,2,5] => [7,3,4,8,2,1,6,5] => [3,8,7,4,1,5,2,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,8,6,3,4,2,1] => [2,4,6,3,5,8,7,1] => [5,2,4,1,7,6,8,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[4,1,8,3,6,5,7,2] => [4,7,8,1,6,3,5,2] => [7,6,4,3,8,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,1,8,3,6,2,7,5] => [4,6,8,1,7,3,2,5] => [8,6,4,3,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,5,8,3,2,4] => [7,3,8,2,6,1,5,4] => [6,7,3,1,8,5,2,4] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[3,7,5,6,8,4,1,2] => [4,1,3,8,7,5,6,2] => [3,1,7,4,8,2,5,6] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[6,1,2,5,8,4,7,3] => [6,1,7,8,2,5,4,3] => [8,1,7,6,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,5,8,3,4,2] => [7,4,8,3,6,1,5,2] => [6,7,4,1,8,5,2,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[4,1,2,3,5,8,7,6] => [4,1,2,3,5,7,8,6] => [4,1,2,3,5,8,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[4,1,2,3,7,8,6,5] => [4,1,2,3,6,8,7,5] => [4,1,2,3,7,6,8,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[4,1,2,6,8,5,7,3] => [4,1,7,2,8,6,5,3] => [7,1,4,3,6,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,1,2,5,6,8,7,3] => [4,1,7,2,5,6,8,3] => [5,1,4,3,6,8,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[4,5,2,6,3,7,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[7,8,2,1,6,5,3,4] => [2,8,5,3,6,1,7,4] => [5,2,7,1,6,4,8,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[4,3,8,1,7,2,5,6] => [8,7,4,3,2,5,1,6] => [4,7,8,1,2,3,6,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,8,3,4,5,1,6,2] => [5,6,8,3,4,1,7,2] => [7,6,5,1,2,4,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,3,6,5,4,1,2] => [4,1,5,6,8,3,7,2] => [7,1,6,4,5,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,2,1,7,5,4,3,8] => [2,6,4,5,7,1,3,8] => [4,2,7,6,5,3,1,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[2,1,8,7,5,4,3,6] => [2,1,4,5,7,3,8,6] => [2,1,8,4,5,3,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,8,2,6,4,7,5] => [1,8,3,6,7,2,4,5] => [1,3,6,8,7,5,4,2] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[5,3,7,1,6,4,8,2] => [7,8,5,6,3,1,4,2] => [6,5,8,7,2,4,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,3,1,8,4,2,7,5] => [3,6,4,8,7,2,1,5] => [8,3,6,4,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,5,3,8,7] => [2,4,6,5,3,1,8,7] => [6,2,4,5,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,3,7,6,4,2,8,5] => [1,4,3,6,7,8,5,2] => [1,3,8,4,7,6,2,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,5,6,8,4,3] => [2,1,4,8,7,5,6,3] => [2,1,7,4,8,3,5,6] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[3,7,2,8,6,4,1,5] => [4,6,3,8,1,7,2,5] => [6,3,8,4,2,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,5,6,8,2,4,7,3] => [1,8,7,2,5,6,4,3] => [1,5,6,3,7,8,2,4] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[2,6,8,5,3,1,4,7] => [3,2,5,1,8,6,4,7] => [2,6,3,1,5,8,4,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[2,6,1,4,7,3,5,8] => [6,2,7,1,3,4,5,8] => [2,7,6,3,4,5,1,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,8,1,4,7,3,6] => [8,5,7,1,2,3,4,6] => [5,8,7,3,4,2,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,5,7,6,1,8,3,2] => [6,3,7,4,5,8,2,1] => [4,5,3,7,8,6,1,2] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[6,2,4,1,8,3,7,5] => [4,6,8,2,7,1,3,5] => [8,6,4,2,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,2,7,6,8,3] => [5,4,8,1,2,7,6,3] => [5,7,4,3,2,8,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,6,2,4,7,8,3,5] => [1,6,8,2,3,4,7,5] => [1,7,6,3,4,5,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,8,7,6,3,4,1,2] => [4,1,6,3,5,7,8,2] => [5,1,4,2,8,6,7,3] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,8,2,1,5,6,3,7] => [2,8,6,4,1,5,3,7] => [4,2,6,8,3,1,5,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[2,1,8,7,6,5,3,4] => [2,1,5,3,6,7,8,4] => [2,1,8,3,5,6,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,7,5,6,8,1,2] => [8,1,4,3,7,5,6,2] => [4,1,7,2,8,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[4,8,6,3,5,7,1,2] => [7,1,6,4,3,8,5,2] => [4,1,7,8,2,6,3,5] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[4,8,1,2,5,3,7,6] => [8,1,5,4,2,7,3,6] => [4,1,5,7,3,8,6,2] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[3,8,5,6,1,4,7,2] => [6,7,3,1,8,5,4,2] => [7,3,8,2,6,1,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,7,8,5,1,2,4,6] => [5,1,3,2,8,4,7,6] => [3,1,7,2,5,4,8,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[4,1,8,6,2,3,5,7] => [4,6,2,1,3,8,5,7] => [8,4,1,3,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,8,6,3,5,1,2] => [5,1,6,4,3,8,7,2] => [5,1,4,7,2,6,8,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[3,8,7,6,5,4,1,2] => [4,1,3,5,6,7,8,2] => [3,1,8,4,5,6,7,2] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,7,1,3,8,5] => [7,4,1,6,8,2,3,5] => [4,8,2,7,6,5,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,1,8,2,4] => [6,8,5,2,7,3,1,4] => [7,5,8,2,6,3,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,6,2,4,8,1,5] => [8,6,7,2,1,3,4,5] => [6,8,7,2,4,5,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,3,7,1,2,5,8,6] => [7,1,4,3,2,8,5,6] => [4,1,8,2,3,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,3,6,7,1,2,8,4] => [7,1,5,8,3,6,2,4] => [6,1,7,5,3,8,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[3,7,5,1,2,4,8,6] => [5,1,3,2,7,8,4,6] => [3,1,8,2,5,7,6,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,7,6,3,8,1,2,5] => [8,1,6,4,2,7,3,5] => [4,1,6,8,3,7,5,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[5,7,4,2,3,8,1,6] => [8,4,2,7,5,1,3,6] => [4,7,1,5,8,3,6,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,7,2,6,1,8,3,4] => [6,7,8,3,5,2,1,4] => [7,6,5,1,8,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,4,8,5,2,6,1,3] => [6,5,1,8,7,4,2,3] => [7,8,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,8,2,6,3,7,1,4] => [7,8,6,1,5,2,3,4] => [6,5,7,3,8,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[3,8,6,1,2,7,4,5] => [6,1,3,8,2,7,4,5] => [3,1,8,6,4,7,5,2] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,8,6,2,4,7,1,5] => [7,6,3,2,1,8,4,5] => [3,7,8,1,4,6,5,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,8,5,7,1,2,4,6] => [7,1,3,2,8,4,5,6] => [3,1,8,2,7,5,6,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,8,6,2,7,1,3,5] => [7,6,1,4,3,8,2,5] => [4,7,2,8,1,6,5,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[6,3,7,5,8,1,2,4] => [8,1,6,2,7,3,5,4] => [6,1,8,3,7,5,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,6,5,8,1,3,4,7] => [8,2,1,3,6,5,4,7] => [2,6,1,3,8,4,5,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,6,5,8,1,2,4,7] => [8,1,3,2,6,5,4,7] => [3,1,6,2,8,4,5,7] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[2,5,7,4,8,1,3,6] => [8,2,1,7,5,3,4,6] => [2,5,1,7,8,4,6,3] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[5,4,6,7,2,8,1,3] => [8,7,1,5,4,6,2,3] => [5,6,2,7,1,8,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[3,5,7,1,4,8,2,6] => [7,8,3,1,5,2,4,6] => [5,3,7,2,8,4,6,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,4,7,3,8,1,2,6] => [8,1,7,5,4,2,3,6] => [5,1,7,8,2,4,6,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[7,4,6,3,8,1,2,5] => [8,1,6,7,2,4,3,5] => [6,1,8,7,4,3,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,1,2,7,8,3,4] => [5,1,6,2,8,3,7,4] => [7,1,6,3,5,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,7,1,5,8,6,2,3] => [7,6,2,4,1,8,5,3] => [4,7,1,8,3,6,2,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[7,6,1,8,5,2,3,4] => [6,5,1,3,7,8,2,4] => [7,8,2,1,5,6,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,7,2,8,1,6,3,4] => [8,7,6,3,5,1,2,4] => [5,6,7,1,8,4,3,2] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[3,6,8,2,7,1,4,5] => [7,8,3,1,4,6,2,5] => [6,3,7,2,1,8,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[2,4,8,7,1,3,5,6] => [7,2,1,4,3,5,8,6] => [2,4,1,8,3,5,7,6] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,3,8,7,1,2,5,6] => [7,1,4,3,2,5,8,6] => [4,1,8,2,3,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,3,8,7,1,2,4,6] => [7,1,5,2,3,4,8,6] => [5,1,8,3,4,2,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,3,7,6,1,2,4,5] => [6,1,7,3,4,8,2,5] => [8,1,7,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,7,1,2,4,6] => [7,1,3,2,5,4,8,6] => [3,1,5,2,8,4,7,6] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[4,7,1,8,6,2,3,5] => [7,6,2,4,3,8,1,5] => [4,7,1,8,2,6,5,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[2,8,7,6,1,3,4,5] => [6,2,1,3,4,7,8,5] => [2,8,1,3,4,6,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,7,6,1,2,3,5] => [6,1,2,4,3,7,8,5] => [4,1,2,8,3,6,7,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,6,3,1,4,2,8,7] => [3,6,4,2,5,1,8,7] => [5,3,4,1,6,2,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[2,1,7,8,5,3,6,4] => [2,1,5,8,6,4,7,3] => [2,1,7,5,6,3,8,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[5,7,3,8,1,2,6,4] => [8,1,7,6,5,2,3,4] => [5,1,6,7,8,4,3,2] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[8,7,1,4,5,3,2,6] => [7,3,5,1,4,2,8,6] => [3,8,5,2,1,4,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,8,4,1,6,5,3] => [4,2,8,5,6,3,7,1] => [2,7,4,5,6,1,8,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,1,8,4,2,6,5,3] => [7,4,8,5,6,3,1,2] => [5,8,4,6,7,1,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,1,4,8,6,3,2] => [5,3,7,2,6,8,4,1] => [5,8,3,1,7,6,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,8,4,7,2] => [3,5,6,7,8,1,2,4] => [8,7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,4,2,6,5,3] => [7,4,5,1,6,2,8,3] => [4,8,5,3,6,2,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,3,8,4,1,6,5,2] => [4,8,5,6,7,2,3,1] => [8,4,7,5,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9] => [2,3,4,5,6,7,8,1,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[2,3,4,5,6,8,9,1,7] => [9,2,3,4,5,6,1,8,7] => [2,3,4,5,6,8,1,9,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[2,3,4,5,7,8,9,1,6] => [9,2,3,4,5,1,7,8,6] => [2,3,4,5,7,1,8,9,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[2,3,4,6,7,8,9,1,5] => [9,2,3,4,1,6,7,8,5] => [2,3,4,6,1,7,8,9,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[2,3,5,6,7,8,9,1,4] => [9,2,3,1,5,6,7,8,4] => [2,3,5,1,6,7,8,9,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[2,4,5,6,7,8,9,1,3] => [9,2,1,4,5,6,7,8,3] => [2,4,1,5,6,7,8,9,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,4,5,6,7,8,9,1,2] => [9,1,3,4,5,6,7,8,2] => [3,1,4,5,6,7,8,9,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,10,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10] => [2,3,4,5,6,7,8,9,1,10] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => [2,3,4,5,6,7,1,8,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[2,3,4,5,6,7,8,10,1,9] => [10,2,3,4,5,6,7,8,1,9] => [2,3,4,5,6,7,8,10,1,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[2,3,4,5,6,1,9,7,8] => [6,2,3,4,5,1,9,7,8] => [2,3,4,5,6,1,9,7,8] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[2,3,4,5,6,7,9,10,1,8] => [10,2,3,4,5,6,7,1,9,8] => [2,3,4,5,6,7,9,1,10,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[2,3,4,5,1,8,9,6,7] => [5,2,3,4,1,9,6,8,7] => [2,3,4,5,1,8,6,9,7] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[2,3,4,5,6,8,9,10,1,7] => [10,2,3,4,5,6,1,8,9,7] => [2,3,4,5,6,8,1,9,10,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[2,3,4,5,7,8,9,10,1,6] => [10,2,3,4,5,1,7,8,9,6] => [2,3,4,5,7,1,8,9,10,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[2,3,4,6,7,8,9,10,1,5] => [10,2,3,4,1,6,7,8,9,5] => [2,3,4,6,1,7,8,9,10,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[2,3,5,6,7,8,9,10,1,4] => [10,2,3,1,5,6,7,8,9,4] => [2,3,5,1,6,7,8,9,10,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,4,5,6,7,8,9,2,3] => [1,9,2,4,5,6,7,8,3] => [1,4,2,5,6,7,8,9,3] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[2,4,5,6,7,8,9,10,1,3] => [10,2,1,4,5,6,7,8,9,3] => [2,4,1,5,6,7,8,9,10,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,4,5,6,7,8,9,10,1,2] => [10,1,3,4,5,6,7,8,9,2] => [3,1,4,5,6,7,8,9,10,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,6,4,5,7,2,8,1] => [8,7,3,6,4,5,2,1] => [3,6,7,8,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[6,3,2,5,1,8,4,7] => [5,3,6,8,2,1,4,7] => [6,8,3,5,2,4,1,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,2,6,3,4,5,8,1] => [8,7,6,3,4,2,5,1] => [6,7,8,1,2,4,3,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,2,7,3,4,5,8,1] => [8,6,7,3,4,2,5,1] => [6,8,7,1,2,4,3,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,6,2,7,4,5,8,1] => [8,6,3,7,4,2,5,1] => [3,6,8,7,1,4,2,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,5,7,3,6,8,1] => [8,4,7,2,5,3,6,1] => [4,7,5,2,8,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,6,2,3,8,1] => [8,6,2,5,4,7,3,1] => [5,6,1,8,2,7,3,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[6,7,3,5,2,4,8,1] => [8,5,7,2,3,6,4,1] => [5,7,6,2,3,8,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[3,7,6,2,4,5,8,1] => [8,6,3,2,4,7,5,1] => [3,6,8,1,2,7,4,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[2,7,6,3,4,5,8,1] => [8,2,6,3,4,7,5,1] => [2,6,8,1,3,7,4,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,6,5,2,3,7,1,4] => [7,5,2,1,6,8,3,4] => [5,8,1,3,7,6,4,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,2,1,7,3,4,6] => [2,5,8,1,7,4,3,6] => [8,2,5,3,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,1,2,8,4,6] => [3,1,7,8,5,4,2,6] => [7,1,3,5,8,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,2,3,1,8,4,7] => [3,6,2,8,5,1,4,7] => [6,3,1,5,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,2,6,5,1,8,3,7] => [5,4,6,2,8,3,1,7] => [6,8,4,2,5,1,3,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,8,3,5,2,7,1,4] => [7,5,8,1,3,6,2,4] => [6,7,5,3,2,8,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,8,6,3,7,2,4,5] => [1,7,6,2,4,8,3,5] => [1,7,8,3,2,6,5,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,1,7,5,8,2,3,6] => [4,8,2,1,7,3,5,6] => [7,4,1,3,8,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,6,2,7,1,8,4,5] => [7,6,3,8,4,2,1,5] => [3,7,8,6,1,4,5,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[6,3,7,1,2,8,4,5] => [7,1,6,8,4,3,2,5] => [7,1,8,6,2,4,5,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,6,1,8,3,4,5] => [6,7,8,3,4,2,1,5] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,5,8,4,6,7] => [2,3,1,8,5,4,6,7] => [3,2,1,5,8,4,6,7] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[3,6,4,5,8,7,1,2] => [7,1,3,6,4,5,8,2] => [3,1,6,8,2,4,7,5] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[6,5,3,4,8,7,1,2] => [7,1,5,3,6,4,8,2] => [5,1,8,2,6,3,7,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,3,1,8,7,2,4,6] => [3,5,7,1,2,4,8,6] => [8,5,3,2,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,6,1,2,4] => [6,1,5,3,7,8,2,4] => [7,1,8,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,8,1,7,2,4,5] => [8,7,6,2,4,3,1,5] => [6,7,8,2,1,4,5,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,4,7,8,2,6,1,3] => [6,8,1,5,4,2,7,3] => [6,5,2,7,1,4,8,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[3,6,2,8,7,1,4,5] => [7,6,3,1,4,2,8,5] => [3,6,8,2,1,5,7,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,7,8,1,6,2,4,5] => [8,6,3,2,4,1,7,5] => [3,6,7,1,2,5,8,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[2,3,8,7,1,4,5,6] => [7,2,3,1,4,5,8,6] => [2,3,8,1,4,5,7,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,2,7,6,1,3,4,5] => [6,7,2,3,4,8,1,5] => [8,7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,7,3,4,5,6] => [1,2,7,3,4,5,8,6] => [1,2,8,3,4,5,7,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,8,7,2,4,5,6] => [1,7,3,2,4,5,8,6] => [1,3,8,2,4,5,7,6] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,7,8,3,6,2,4,5] => [1,6,8,2,4,3,7,5] => [1,7,6,3,2,5,8,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,8,7,6,1,2,3] => [6,1,2,5,4,7,8,3] => [5,1,2,8,3,6,7,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,8,6,2,5,1,3,4] => [5,6,1,3,2,8,7,4] => [7,5,2,1,4,6,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,1,6,7,3,2,5,4] => [8,3,7,5,2,1,6,4] => [3,7,5,8,2,4,1,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,1,3,2,6,5,8] => [4,3,1,7,6,2,5,8] => [3,6,2,4,7,5,1,8] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[8,1,4,3,2,7,6,5] => [8,3,4,1,6,7,2,5] => [3,6,4,2,8,7,5,1] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[8,1,5,3,6,2,7,4] => [8,6,5,7,1,3,2,4] => [5,7,8,6,4,2,3,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,1,4,3,2,5,7,6] => [8,3,4,1,2,7,5,6] => [3,7,4,2,1,8,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[8,1,4,3,2,5,6,7] => [8,3,4,1,2,5,6,7] => [3,8,4,2,1,5,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,8,3,2,5,6,1] => [6,3,8,7,2,5,4,1] => [6,8,3,7,2,1,4,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,4,3,1,2,5,8,7] => [3,1,4,6,2,5,8,7] => [6,1,3,4,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,4,1,3,2,6,8,5] => [4,3,1,7,8,2,6,5] => [3,8,2,4,7,5,1,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,7,2,5,8,1] => [8,7,4,6,2,3,5,1] => [4,6,8,7,2,3,1,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[6,5,4,1,7,8,2,3] => [4,5,2,6,8,1,7,3] => [7,6,1,4,5,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,4,3,2,1,8,6,7] => [2,3,4,5,1,8,6,7] => [5,2,3,4,1,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[7,4,1,3,2,8,6,5] => [4,3,1,7,6,8,2,5] => [3,7,2,4,8,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[7,4,1,3,2,8,5,6] => [4,3,1,7,8,5,2,6] => [3,8,2,4,7,1,6,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,2,8,5,7] => [3,1,4,6,8,2,5,7] => [8,1,3,4,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,8,7,2,4,1] => [4,7,5,2,6,3,8,1] => [8,4,5,2,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,1,7,2,4,8] => [3,5,6,2,7,1,4,8] => [7,6,3,1,5,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,5,3,1,8,2,4,7] => [3,5,6,2,8,1,4,7] => [8,6,3,1,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,3,2,4,5] => [6,3,7,1,4,8,2,5] => [7,8,3,2,1,6,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,1,8,4,5,2,3] => [6,5,2,7,1,8,4,3] => [7,8,1,5,4,6,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,8,1,4,5,2,3] => [8,5,2,1,4,7,6,3] => [5,7,1,3,2,8,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[7,6,8,1,3,2,5,4] => [8,3,1,5,2,7,6,4] => [3,5,2,7,4,8,1,6] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[7,4,8,3,2,1,5,6] => [2,3,8,7,1,5,4,6] => [7,2,3,8,4,1,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,4,8,3,2,1,6,5] => [2,3,8,7,6,1,4,5] => [6,2,3,7,8,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,5,8,4,1,6,2,3] => [4,8,1,6,7,2,5,3] => [8,4,2,6,7,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,8,1,2,7,4] => [8,1,5,6,7,4,2,3] => [5,1,8,7,6,2,4,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,4,3,2,8,1,7,6] => [8,3,4,5,2,7,1,6] => [3,7,4,5,1,8,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,4,7,1,8,2,3] => [7,8,2,5,6,4,1,3] => [6,5,1,8,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,6,2,1,3,4,8,7] => [2,6,1,3,5,4,8,7] => [5,2,1,3,6,4,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[5,8,2,7,4,1,3,6] => [4,7,2,8,5,3,1,6] => [7,5,1,4,8,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,7,8,4,3,5,6] => [2,1,4,8,3,5,7,6] => [2,1,7,4,3,5,8,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[2,6,8,3,1,4,7,5] => [3,2,8,1,7,6,4,5] => [2,6,3,1,7,8,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[6,1,8,3,2,4,5,7] => [6,3,8,2,4,1,5,7] => [6,8,3,1,2,5,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,1,3,7,6,2,5] => [4,8,2,6,1,7,3,5] => [8,4,1,6,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,8,7,4,3] => [2,5,4,6,7,3,8,1] => [6,2,8,4,5,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,7,2,8,1,3,6,5] => [8,7,1,4,6,3,2,5] => [4,6,2,7,8,3,5,1] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[7,3,8,6,1,2,5,4] => [6,1,8,5,3,7,2,4] => [6,1,5,8,3,7,4,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,4,7,1,8,2,6,5] => [7,8,3,4,6,2,1,5] => [4,3,6,7,8,2,5,1] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,8,2,4,3,5,6,7] => [1,8,4,2,3,5,6,7] => [1,4,8,3,2,5,6,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => [1,4,7,3,2,5,6,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => [1,4,5,3,2,6,7,8] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => [1,5,7,2,4,3,6,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => [1,5,8,2,4,3,6,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => [1,6,8,2,3,5,4,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => [1,6,7,2,3,5,4,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => [1,6,5,8,3,4,2,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => [1,8,5,6,4,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => [1,6,4,3,8,5,2,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => [1,3,2,6,8,5,4,7] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => [1,2,3,6,8,5,4,7] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,3,7,4,6,5,8] => [1,2,3,7,6,4,5,8] => [1,2,3,6,7,5,4,8] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,3,2,7,4,6,5,8] => [1,3,2,7,6,4,5,8] => [1,3,2,6,7,5,4,8] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => [1,6,4,3,7,5,2,8] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => [1,7,5,6,4,3,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => [1,6,5,7,3,4,2,8] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => [1,5,6,7,3,4,2,8] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,8,2,6,3,5,4,7] => [1,8,6,5,3,2,4,7] => [1,5,6,8,3,4,2,7] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => [1,5,8,6,4,3,2,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => [1,6,7,5,4,3,2,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,5,2,4,3,7,6,8] => [1,5,4,2,3,7,6,8] => [1,4,5,3,2,7,6,8] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => [1,4,7,3,6,5,2,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => [1,4,6,3,7,5,2,8] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => [1,4,6,3,8,5,2,7] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => [1,6,2,3,8,5,4,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => [1,4,7,3,8,2,6,5] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,7,2,4,3,8,5,6] => [1,7,4,2,8,5,3,6] => [1,4,8,3,7,2,6,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => [1,4,8,3,6,5,2,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => [1,6,8,5,4,3,2,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => [1,7,8,5,4,2,6,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,8,2,5,3,7,4,6] => [1,8,5,7,2,4,3,6] => [1,5,8,7,4,2,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => [1,6,8,7,2,5,4,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => [1,7,8,6,2,5,4,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,2,3,8,4,7,5,6] => [1,2,3,8,7,5,4,6] => [1,2,3,7,8,4,6,5] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => [1,3,2,7,8,4,6,5] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => [1,8,5,7,4,2,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => [1,8,6,7,2,5,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,7,3,6,4,5] => [1,8,7,6,4,3,2,5] => [1,6,7,8,2,4,5,3] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[4,6,3,8,5,1,2,7] => [5,1,8,4,6,2,3,7] => [5,1,4,8,6,3,2,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,6,8,3,4,1,2,7] => [4,1,8,3,5,6,2,7] => [5,1,4,2,6,8,3,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[5,6,8,3,4,1,7,2] => [4,7,8,3,5,6,1,2] => [6,5,4,1,7,8,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[4,6,2,7,5,3,1,8] => [3,5,7,4,6,2,1,8] => [5,4,3,7,6,1,2,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[5,6,7,2,4,3,1,8] => [3,4,7,1,5,6,2,8] => [5,4,3,2,6,7,1,8] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[5,6,8,4,3,1,2,7] => [3,1,4,8,5,6,2,7] => [5,1,3,4,6,8,2,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[5,7,8,4,1,6,2,3] => [4,8,1,6,5,2,7,3] => [6,4,2,5,7,3,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,7,8,4,1,6,3,2] => [4,3,8,6,5,2,7,1] => [4,6,3,5,7,1,8,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[5,7,8,4,1,3,6,2] => [4,8,2,6,5,3,7,1] => [6,4,1,5,7,2,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,8,4,2,1,7,3] => [2,4,8,7,5,6,3,1] => [6,2,4,5,7,8,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[4,6,2,8,5,1,7,3] => [5,8,6,4,7,3,2,1] => [7,4,5,8,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,2,6,8,5,1,7,4] => [5,3,2,8,7,6,4,1] => [3,7,1,5,6,8,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[3,2,6,8,5,1,4,7] => [5,3,2,1,8,6,4,7] => [3,6,1,2,5,8,4,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[4,6,2,8,5,1,3,7] => [5,8,2,4,6,1,3,7] => [5,4,1,8,6,3,2,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,6,8,2,4,1,3,7] => [4,8,1,2,5,6,3,7] => [5,4,2,3,6,8,1,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[5,7,8,4,1,3,2,6] => [4,3,1,8,5,2,7,6] => [3,5,2,4,7,1,8,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[6,7,8,1,5,2,3,4] => [8,5,2,3,1,6,7,4] => [5,6,1,2,4,7,8,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[6,7,8,1,5,2,4,3] => [8,5,4,2,1,6,7,3] => [4,5,6,2,3,7,8,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[6,7,8,1,5,3,2,4] => [8,3,5,2,1,6,7,4] => [3,6,5,1,4,7,8,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[5,7,8,2,1,6,3,4] => [2,8,6,3,5,1,7,4] => [5,2,6,1,7,4,8,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[4,7,2,8,1,6,3,5] => [8,7,6,4,3,1,2,5] => [4,6,7,8,1,5,3,2] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[3,2,7,8,1,6,4,5] => [8,3,2,6,4,1,7,5] => [3,6,1,7,2,5,8,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[3,2,7,8,1,6,5,4] => [8,3,2,5,6,1,7,4] => [3,5,1,7,6,4,8,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[4,7,2,8,1,6,5,3] => [8,7,5,4,6,1,2,3] => [4,5,6,8,7,3,2,1] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[5,7,8,2,1,6,4,3] => [2,8,4,6,5,1,7,3] => [4,2,6,5,7,3,8,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[6,7,8,1,3,5,4,2] => [8,4,1,5,3,6,7,2] => [4,6,2,5,1,7,8,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[6,7,8,1,5,3,4,2] => [8,4,5,3,1,6,7,2] => [4,6,5,1,3,7,8,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[6,7,8,1,4,5,2,3] => [8,5,2,1,4,6,7,3] => [5,6,1,3,2,7,8,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[6,7,8,1,4,3,5,2] => [8,5,4,1,3,6,7,2] => [4,5,6,3,1,7,8,2] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[5,7,8,2,1,4,6,3] => [2,8,6,1,5,4,7,3] => [5,2,6,3,7,1,8,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[4,7,2,8,1,5,6,3] => [8,7,6,4,1,5,2,3] => [4,6,7,8,3,1,5,2] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[3,2,6,8,4,1,7,5] => [4,3,2,8,7,6,1,5] => [3,6,1,4,7,8,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[5,6,8,3,2,1,7,4] => [2,3,8,7,5,6,1,4] => [5,2,3,6,7,8,4,1] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[5,7,8,3,1,4,6,2] => [3,8,6,2,5,4,7,1] => [6,3,5,1,7,2,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,7,8,3,1,6,4,2] => [3,8,4,6,5,2,7,1] => [6,3,4,5,7,1,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,7,8,3,1,6,2,4] => [3,8,6,1,5,2,7,4] => [6,3,5,2,7,4,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[4,7,3,8,1,6,2,5] => [8,6,7,4,2,1,3,5] => [4,7,6,8,2,5,3,1] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,7,3,8,1,6,5,2] => [8,5,6,4,7,1,2,3] => [4,7,5,8,6,3,2,1] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,7,3,8,1,5,6,2] => [8,6,7,4,1,5,3,2] => [4,7,6,8,3,1,2,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,6,3,8,2,1,7,5] => [2,8,6,4,7,3,1,5] => [4,2,6,8,7,3,5,1] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[4,5,3,2,8,1,7,6] => [8,3,5,4,2,7,1,6] => [3,5,4,7,1,8,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[4,5,2,3,8,1,7,6] => [8,5,2,4,3,7,1,6] => [4,5,1,7,2,8,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[3,2,5,4,8,1,7,6] => [8,3,2,5,4,7,1,6] => [3,5,1,7,2,8,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[4,7,3,8,1,2,6,5] => [8,1,7,4,6,2,3,5] => [4,1,6,7,8,5,3,2] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[5,7,8,3,1,2,4,6] => [3,1,8,2,5,4,7,6] => [5,1,3,2,7,4,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[5,7,8,3,1,4,2,6] => [3,8,4,2,5,1,7,6] => [5,3,4,1,7,2,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[5,7,8,2,1,4,3,6] => [2,8,4,1,5,3,7,6] => [4,2,5,3,7,1,8,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[6,7,8,1,3,4,2,5] => [8,4,1,3,2,6,7,5] => [4,6,2,1,3,7,8,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[6,7,8,1,4,3,2,5] => [8,3,4,1,2,6,7,5] => [3,6,4,2,1,7,8,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[6,7,8,1,4,2,3,5] => [8,4,2,1,3,6,7,5] => [4,6,1,3,2,7,8,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[6,7,8,1,2,5,3,4] => [8,1,5,3,2,6,7,4] => [5,1,6,2,4,7,8,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[6,7,8,1,2,5,4,3] => [8,1,4,5,2,6,7,3] => [4,1,6,5,3,7,8,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[6,7,8,1,2,4,5,3] => [8,1,5,2,4,6,7,3] => [5,1,6,3,2,7,8,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[6,7,8,1,3,2,5,4] => [8,3,1,5,2,6,7,4] => [3,5,2,6,4,7,8,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[3,2,7,8,1,4,6,5] => [8,3,2,1,6,4,7,5] => [3,6,1,2,7,5,8,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[6,7,8,1,3,2,4,5] => [8,3,1,2,4,6,7,5] => [3,6,2,1,4,7,8,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[6,7,8,1,2,4,3,5] => [8,1,4,2,3,6,7,5] => [4,1,6,3,2,7,8,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[6,7,8,1,2,3,5,4] => [8,1,2,5,3,6,7,4] => [5,1,2,6,4,7,8,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[7,2,8,5,1,6,4,3] => [5,8,4,7,6,2,3,1] => [6,4,8,5,7,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,3,7,5,2,6,4,8] => [1,5,3,7,6,4,2,8] => [1,3,7,5,6,2,4,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,8,4,5,3,7,1,6] => [7,2,5,8,4,1,3,6] => [2,7,8,5,1,4,6,3] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,3,8,5,1,7,4] => [5,8,1,6,7,4,2,3] => [8,5,2,7,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,2,5,6,3,1] => [3,6,8,7,1,5,4,2] => [8,6,3,7,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,7,6,8,5] => [4,1,3,2,8,7,6,5] => [3,1,4,2,7,8,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[3,4,2,1,7,5,8,6] => [2,4,3,1,7,8,5,6] => [3,2,4,1,8,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[3,6,5,7,1,4,8,2] => [7,8,3,1,6,5,4,2] => [6,3,7,2,8,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[6,5,2,7,4,1,8,3] => [4,7,5,6,8,1,2,3] => [8,4,7,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,8,6,4,7,2] => [3,5,7,6,2,8,4,1] => [8,5,3,7,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,8,7,2,4,3] => [6,7,4,2,5,1,8,3] => [5,4,6,2,8,3,7,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,6,5,7,3,4,2,8] => [1,4,7,3,6,5,2,8] => [1,6,4,2,7,3,5,8] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,5,2,7,4,6,3,8] => [1,5,6,7,2,4,3,8] => [1,7,6,5,4,2,3,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,1,8,7,6,3,4] => [2,5,6,3,1,7,8,4] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,6,1,7,5] => [6,2,3,4,8,7,5,1] => [2,3,4,8,6,7,1,5] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,8,6,5,1,7] => [5,2,3,4,6,8,1,7] => [2,3,4,8,5,6,1,7] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,7,3,5,8,6,1,4] => [6,2,8,3,1,7,5,4] => [2,8,6,1,4,7,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,7,8,6,1,5] => [6,3,2,4,1,8,7,5] => [3,4,1,7,2,6,8,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[5,3,6,4,1,8,7,2] => [4,6,7,5,1,2,8,3] => [8,5,4,6,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,4,8,2,7] => [6,8,5,1,3,4,2,7] => [6,5,8,3,2,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,3,5,1,8,2,7,4] => [5,8,6,7,3,1,2,4] => [8,5,7,6,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,5,8,4,7,3] => [6,2,7,8,1,5,4,3] => [2,8,7,6,4,1,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,5,8,3,4,1] => [4,2,8,3,6,7,5,1] => [2,6,4,1,8,7,3,5] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,7,1,6,3,8,4,2] => [7,4,8,6,5,1,2,3] => [5,7,4,6,8,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[3,2,4,1,7,8,5,6] => [4,3,2,1,8,5,7,6] => [3,4,1,2,7,5,8,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[3,1,4,2,7,8,6,5] => [3,4,1,2,6,8,7,5] => [4,3,2,1,7,6,8,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[3,6,4,7,8,2,5,1] => [5,8,3,6,2,4,7,1] => [5,3,7,6,2,1,8,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[6,3,4,5,7,1,8,2] => [7,8,6,3,4,5,1,2] => [7,6,8,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,5,4,6,1,7,8,3] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[7,2,1,4,3,6,5,8] => [2,7,4,1,6,3,5,8] => [4,2,6,3,7,5,1,8] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[7,3,4,1,2,6,5,8] => [4,1,7,3,6,2,5,8] => [6,1,4,2,7,5,3,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,8,3,2,5,4,7,6] => [1,3,8,5,2,7,4,6] => [1,5,3,7,4,8,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,8,4,5,2,3,7,6] => [1,5,2,8,4,7,3,6] => [1,7,2,5,3,8,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,4,6,5,1,3,2,8] => [5,3,1,6,7,2,4,8] => [3,7,2,6,5,4,1,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,8,6,4,3,7,2,5] => [1,7,4,6,2,8,3,5] => [1,4,8,7,3,6,5,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,7,8,5,6,3,4,1] => [4,2,6,3,8,5,7,1] => [2,7,4,1,6,3,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,5,8,6,7,1,3,4] => [7,2,1,3,5,8,6,4] => [2,5,1,3,8,7,4,6] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[2,4,8,6,1,7,3,5] => [6,2,8,4,1,7,3,5] => [2,6,4,8,3,7,5,1] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,2,1,8,6,7,4,5] => [2,3,1,7,4,8,6,5] => [3,2,1,8,4,7,5,6] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[5,3,7,1,6,8,4,2] => [7,4,8,5,2,1,6,3] => [5,8,4,7,2,3,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,6,7,5,8,3,1,2] => [3,1,8,4,7,6,5,2] => [4,1,3,6,7,8,2,5] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,8,6,5,7,3,2,4] => [1,3,7,2,6,8,5,4] => [1,7,3,2,8,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,6,7,1,8,2,3] => [7,8,2,5,4,6,1,3] => [6,5,1,7,2,8,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,2,1,5,7,3,8,4] => [2,6,7,8,1,5,3,4] => [8,2,7,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,1,7,2,8,4] => [5,7,6,8,3,1,2,4] => [8,6,7,5,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,2,6,7,4,5] => [1,3,8,7,4,2,6,5] => [1,7,3,8,2,5,4,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,5,3,2,7,1,8,4] => [7,3,5,6,8,4,1,2] => [3,8,6,7,5,1,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,3,7,8,5] => [2,6,4,1,8,3,7,5] => [4,2,7,3,6,5,8,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[5,2,1,4,3,8,7,6] => [2,5,4,1,3,7,8,6] => [4,2,5,3,1,8,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[5,3,4,1,2,8,7,6] => [4,1,5,3,2,7,8,6] => [5,1,4,2,3,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[4,7,3,2,8,6,5,1] => [5,3,6,4,8,7,2,1] => [4,6,3,8,5,7,1,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,8,3,2,7,6,5,4] => [1,3,8,5,6,7,2,4] => [1,5,3,8,6,7,4,2] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,7,4,8,2,6,5,1] => [5,6,3,8,7,4,1,2] => [7,3,8,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,4,8,2,7,1,5] => [7,8,3,6,1,4,2,5] => [6,3,7,8,4,2,5,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,3,5,1,8,2,7,6] => [5,8,4,3,1,7,2,6] => [5,4,7,1,3,8,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[4,2,1,6,8,7,3,5] => [2,4,7,1,3,6,8,5] => [6,2,4,3,1,8,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,7,5,8,6,2,4,1] => [4,6,3,2,8,7,1,5] => [4,3,8,1,6,7,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,8,5,7,6,2,4,3] => [1,6,4,2,7,8,3,5] => [1,4,8,3,7,6,5,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,5,7,8,6,1,4,2] => [6,4,3,1,5,8,7,2] => [3,4,5,2,7,6,8,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[2,3,8,1,7,6,5,4] => [8,2,3,5,6,7,1,4] => [2,3,5,8,6,7,4,1] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,5,8,7,6,1,4,3] => [6,2,4,1,5,7,8,3] => [2,4,5,3,8,6,7,1] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[7,4,6,1,8,3,5,2] => [6,5,8,7,3,4,1,2] => [7,8,5,6,2,1,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,5,1,7,4,6,2] => [5,6,8,7,3,4,1,2] => [8,7,5,6,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,7,5,6,2] => [4,6,8,3,7,5,1,2] => [8,6,4,1,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,7,5,8,3] => [2,6,8,4,7,1,5,3] => [6,2,4,8,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,4,6,2,7,5,8,3] => [1,6,8,4,7,2,5,3] => [1,6,4,8,7,5,2,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,7,5,2,6,8,4,3] => [1,5,4,7,8,3,6,2] => [1,7,8,4,5,2,3,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[3,6,8,4,1,7,5,2] => [4,8,3,5,7,6,2,1] => [4,3,7,5,6,8,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[3,6,7,5,1,8,4,2] => [5,4,3,7,8,6,2,1] => [3,6,7,4,5,8,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[7,5,6,1,8,3,4,2] => [6,4,8,3,7,5,1,2] => [6,8,4,1,7,2,5,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,4,6,5,7,1,8,2] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[4,7,5,6,1,8,3,2] => [6,3,8,4,7,5,1,2] => [4,6,3,8,7,1,5,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[6,7,5,3,1,8,4,2] => [3,5,4,7,8,6,1,2] => [7,3,6,4,5,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,5,3,2,7,6,8,4] => [1,3,5,8,2,7,6,4] => [1,7,3,5,4,8,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,3,2,1,7,6,8,4] => [2,3,5,8,1,7,6,4] => [7,2,3,5,4,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,5,3,1,7,6,8,4] => [3,2,5,8,1,7,6,4] => [2,7,3,5,4,8,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,8,4,1,6,7,5,3] => [4,2,8,5,7,3,6,1] => [2,8,4,5,7,1,3,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,1,6,8,4,3] => [5,2,4,7,8,3,6,1] => [2,7,8,4,5,1,3,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,4,6,1,7,5,8,3] => [6,2,8,4,7,1,5,3] => [2,6,4,8,7,5,1,3] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,7,1,6,5,8,2,3] => [7,8,2,4,6,1,5,3] => [6,4,1,7,8,5,2,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,8,2,6,5,7,1,3] => [7,8,1,4,6,2,5,3] => [6,4,2,7,8,5,1,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,6,1,2,7,5,8,3] => [6,1,8,4,7,2,5,3] => [6,1,4,8,7,5,2,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,5,1,2,6,8,4,3] => [5,1,4,7,8,3,6,2] => [7,1,8,4,5,2,3,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,1,2,6,7,5,3] => [4,1,8,5,7,3,6,2] => [8,1,4,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,2,7,6,8,4] => [3,1,5,8,2,7,6,4] => [7,1,3,5,4,8,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,2,5,3,7,6,8,4] => [1,2,5,8,3,7,6,4] => [1,2,7,5,4,8,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[4,3,1,2,7,6,8,5] => [3,1,4,2,8,7,6,5] => [4,1,3,2,7,8,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[3,5,1,2,7,6,8,4] => [5,1,3,8,2,7,6,4] => [3,1,7,5,4,8,2,6] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[6,7,1,5,8,2,3,4] => [7,8,2,3,1,6,5,4] => [7,6,1,2,4,8,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,7,6,1,5,8,3,4] => [6,2,7,1,3,8,5,4] => [2,8,7,3,4,6,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,1,7,6,8,4] => [5,2,3,8,1,7,6,4] => [2,3,7,5,4,8,1,6] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[7,6,1,5,8,3,2,4] => [6,3,7,1,2,8,5,4] => [7,8,3,2,4,6,1,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,6,7,1,5,8,2,4] => [7,8,3,2,1,6,5,4] => [6,3,7,1,4,8,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[7,1,6,5,8,2,4,3] => [7,8,4,2,6,1,5,3] => [6,4,7,2,8,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,4,1,6,7,5,2,3] => [4,8,1,5,7,2,6,3] => [8,4,2,5,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,1,7,6,8,4] => [3,5,2,8,1,7,6,4] => [7,3,1,5,4,8,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,5,2,1,7,6,8,4] => [2,5,3,8,1,7,6,4] => [3,2,7,5,4,8,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,3,5,2,7,6,8,4] => [1,5,3,8,2,7,6,4] => [1,3,7,5,4,8,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[7,6,2,1,5,8,3,4] => [2,6,7,1,3,8,5,4] => [8,2,7,3,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,7,5,8,3] => [4,6,8,2,7,1,5,3] => [8,6,4,2,7,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,1,7,4,8,3] => [5,6,8,7,2,1,4,3] => [8,7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,4,8,2,5,3] => [7,8,5,6,2,1,4,3] => [6,5,8,7,3,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,6,4,7,1,5,3] => [7,8,5,6,1,2,4,3] => [6,5,8,7,4,3,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,5,2,7,4,8,3] => [6,5,8,7,1,2,4,3] => [7,8,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,5,7,6,2,1,4] => [2,6,7,3,1,8,5,4] => [8,2,7,1,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,5,7,6,2,4] => [1,6,7,3,2,8,5,4] => [1,8,7,2,4,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,3,7,6,8,4] => [1,5,2,8,3,7,6,4] => [1,7,2,5,4,8,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,2,1,3,7,6,8,4] => [2,5,1,8,3,7,6,4] => [7,2,1,5,4,8,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,5,2,6,8,4,1,3] => [4,8,2,5,7,1,6,3] => [8,4,1,5,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,6,7,5,1,3] => [5,4,2,7,8,1,6,3] => [7,8,1,4,5,3,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,1,4,2,7,5,8,3] => [6,4,8,1,7,2,5,3] => [6,8,4,3,7,5,1,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,6,5,7,1,4,3] => [7,8,4,1,6,2,5,3] => [6,4,7,3,8,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[3,6,8,2,5,7,1,4] => [7,8,3,1,2,6,5,4] => [6,3,7,2,4,8,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[8,3,2,5,7,6,1,4] => [6,3,7,2,1,8,5,4] => [7,8,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,3,2,7,6,8,4] => [5,3,1,8,2,7,6,4] => [3,7,2,5,4,8,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,3,2,7,6,8,5] => [4,3,1,2,8,7,6,5] => [3,4,2,1,7,8,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[4,2,1,3,7,6,8,5] => [2,4,1,3,8,7,6,5] => [4,2,1,3,7,8,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,4,2,3,7,6,8,5] => [1,4,2,3,8,7,6,5] => [1,4,2,3,7,8,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[2,4,1,3,7,6,8,5] => [4,2,1,3,8,7,6,5] => [2,4,1,3,7,8,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[2,5,1,3,7,6,8,4] => [5,2,1,8,3,7,6,4] => [2,7,1,5,4,8,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,8,3,5,7,6,1,4] => [6,2,7,3,1,8,5,4] => [2,8,7,1,4,6,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,2,3,5,7,1,4] => [7,8,2,1,3,6,5,4] => [7,6,1,3,4,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,1,3,5,8,2,4] => [7,8,1,2,3,6,5,4] => [7,6,2,3,4,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,3,5,7,6,1,2,4] => [6,1,7,3,2,8,5,4] => [8,1,7,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,7,6,8,4] => [5,1,2,8,3,7,6,4] => [7,1,2,5,4,8,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,1,2,4,7,6,8,5] => [3,1,2,4,8,7,6,5] => [3,1,2,4,7,8,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[8,1,2,4,3,6,5,7] => [8,1,4,2,6,3,5,7] => [4,1,6,3,8,5,2,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[8,1,3,5,6,2,7,4] => [8,6,1,7,3,5,2,4] => [6,8,2,7,3,1,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,3,4,2,6,7,5] => [8,4,1,3,7,2,6,5] => [4,7,2,1,8,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,1,3,2,4,5,7,6] => [8,3,1,2,4,7,5,6] => [3,7,2,1,4,8,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,3,8,4,5,7,1] => [7,2,6,8,4,3,5,1] => [2,7,8,6,1,4,3,5] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,3,2,1,4,5,8,7] => [2,3,6,1,4,5,8,7] => [6,2,3,1,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,4,1,5,6,8,2,3] => [4,7,1,8,2,5,6,3] => [8,7,2,4,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,4,8,6,1,7] => [6,5,3,2,4,8,1,7] => [3,5,8,1,2,6,4,7] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[2,6,5,8,7,3,4,1] => [4,2,7,3,6,5,8,1] => [2,6,4,1,8,3,7,5] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,4,6,7,3,8,5,1] => [5,2,8,4,7,6,1,3] => [2,5,4,7,6,8,3,1] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[4,7,8,2,3,1,5,6] => [3,8,2,4,1,5,7,6] => [4,3,1,7,2,5,8,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[5,6,4,8,1,7,2,3] => [8,7,2,6,5,4,1,3] => [5,6,1,7,8,2,4,3] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[5,6,3,8,1,2,7,4] => [8,1,6,7,5,3,2,4] => [5,1,7,6,8,3,4,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,2,7,8,6,4,1,3] => [4,6,2,5,1,8,7,3] => [7,4,1,5,3,6,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,1,2,7,8,6,4,3] => [5,1,4,6,2,8,7,3] => [5,1,7,4,3,6,8,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[4,7,1,2,8,6,5,3] => [7,1,5,4,6,8,2,3] => [4,1,5,8,7,6,3,2] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[4,6,8,1,2,7,5,3] => [8,1,5,4,7,6,2,3] => [4,1,5,7,6,8,3,2] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[6,8,7,1,5,3,2,4] => [7,3,5,2,1,6,8,4] => [3,6,5,1,4,8,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[6,8,7,3,5,1,2,4] => [5,1,7,2,3,6,8,4] => [6,1,5,3,4,8,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[7,8,1,3,6,5,2,4] => [8,5,1,2,6,3,7,4] => [5,7,2,3,6,4,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[4,7,2,8,6,1,5,3] => [6,8,5,4,2,7,1,3] => [5,4,6,8,2,7,3,1] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[4,2,7,1,8,6,5,3] => [7,4,5,2,6,8,1,3] => [4,8,5,2,7,6,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,2,3,6,5,1,4] => [5,6,1,2,8,3,7,4] => [7,6,2,3,5,4,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,6,8,3,7,4,5,2] => [1,5,8,7,4,6,3,2] => [1,7,5,6,2,8,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,8,3,4,7,5,2] => [1,5,7,2,8,6,4,3] => [1,7,6,3,5,8,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[8,7,6,2,1,4,3,5] => [2,6,4,1,3,7,8,5] => [4,2,8,3,1,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,5,7,2,3,1,6,4] => [3,7,2,6,8,1,5,4] => [7,3,1,8,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,8,7,3,5,4,6,2] => [1,6,7,5,3,4,8,2] => [1,6,5,8,3,2,7,4] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[8,2,5,4,7,1,6,3] => [7,8,6,5,2,1,4,3] => [6,5,7,8,3,4,1,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,7,6,2,4,3,1,5] => [3,4,6,1,2,7,8,5] => [8,4,3,2,1,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,2,4,3,5] => [6,1,4,2,3,7,8,5] => [4,1,8,3,2,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,7,6,4,1,3,2,5] => [4,3,1,6,2,7,8,5] => [3,8,2,4,1,6,7,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,4,7,2,1,6,3] => [2,7,6,8,5,1,4,3] => [6,2,7,5,8,4,1,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,8,7,5,4,3,6,2] => [1,6,4,5,7,3,8,2] => [1,4,8,6,5,2,7,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,8,1,7,3,2,5,4] => [8,3,7,5,2,6,1,4] => [3,6,5,7,2,8,4,1] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[8,5,7,3,1,6,2,4] => [3,7,6,1,8,2,5,4] => [8,3,7,2,6,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,3,2,6,4] => [7,3,1,6,8,2,5,4] => [3,7,2,8,6,5,1,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,8,4,1,7,2,6,3] => [4,8,7,6,5,3,2,1] => [7,4,5,6,8,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,2,5,6,7,4,1,3] => [4,7,2,8,1,5,6,3] => [8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,7,1,6,2,3] => [7,6,2,4,8,1,5,3] => [4,7,1,8,6,5,2,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,8,5,7,1,2,6,3] => [7,1,6,4,8,2,5,3] => [4,1,7,8,6,5,2,3] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[4,8,5,1,7,2,6,3] => [5,8,7,4,6,3,2,1] => [6,4,5,8,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,8,1,3,7,2,5,4] => [8,7,1,5,2,6,3,4] => [5,6,2,7,4,8,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,8,7,4,5,3,6,2] => [1,6,5,7,4,3,8,2] => [1,6,8,5,2,3,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,8,5,7,2,1,6,3] => [2,7,6,4,8,1,5,3] => [4,2,7,8,6,5,1,3] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[8,7,6,3,1,4,2,5] => [3,6,4,2,1,7,8,5] => [8,3,4,1,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,3,2,4,5] => [6,3,1,2,4,7,8,5] => [3,8,2,1,4,6,7,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,3,2,7,1,6,4] => [7,3,5,8,6,1,4,2] => [3,8,6,5,7,4,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,4,5,7,1,6,3] => [7,8,6,2,4,1,5,3] => [7,6,8,2,1,5,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,4,2,1,7,3,6] => [2,4,5,8,7,3,1,6] => [8,2,5,4,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,2,3,1,8,7] => [3,4,2,5,6,1,8,7] => [6,3,1,4,5,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,3,2,5,1,4,8,7] => [5,3,6,1,2,4,8,7] => [5,6,3,2,4,1,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[6,5,4,1,3,2,8,7] => [4,3,1,5,6,2,8,7] => [3,6,2,4,5,1,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[8,5,4,1,2,7,6,3] => [4,1,5,8,6,7,2,3] => [8,1,5,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,1,6,3,2,5] => [4,3,7,6,1,2,8,5] => [4,8,3,6,2,5,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,4,1,6,5,3,2] => [4,3,7,5,6,2,8,1] => [4,8,3,5,6,1,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,4,3,1,7,6,2] => [3,4,5,8,6,7,2,1] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,3,7,6,4] => [2,1,5,8,6,7,4,3] => [2,1,8,5,6,7,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,3,2,5,1,7,4,6] => [5,3,8,7,2,4,1,6] => [5,8,3,7,2,1,6,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,7,4,1,6,5,2,3] => [4,7,1,5,6,2,8,3] => [8,4,2,5,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,6,4,5,3] => [2,1,5,6,4,7,8,3] => [2,1,8,5,3,6,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,3,2,7,6,4,5,1] => [5,3,8,6,4,7,2,1] => [5,8,3,6,1,7,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,7,4,3,6,2,5,1] => [5,6,4,7,2,3,8,1] => [6,5,8,4,2,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,6,5,2,4,3,1] => [3,4,5,1,6,7,8,2] => [8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,2,3,7,6,1] => [6,4,1,5,7,8,3,2] => [4,8,2,7,5,6,1,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,4,2,6,5,3,1] => [3,5,4,6,7,2,8,1] => [8,3,6,4,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,2,6,3,5,1] => [5,4,7,6,2,3,8,1] => [6,8,4,5,2,1,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,4,2,6,3,1,5] => [3,6,4,7,2,1,8,5] => [8,3,6,4,1,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,4,5,2] => [3,8,5,6,4,7,2,1] => [8,3,5,6,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,5,4,2] => [3,8,4,5,6,7,2,1] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,4,7,6,2] => [3,8,6,5,2,7,4,1] => [6,3,5,8,2,7,1,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,3,1,5,4,7,2,6] => [3,8,7,5,2,1,4,6] => [7,3,5,8,2,4,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,3,1,7,6,5,2,4] => [3,8,5,1,6,7,2,4] => [8,3,5,2,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,2,5,4] => [3,8,6,5,1,7,2,4] => [6,3,5,8,4,7,2,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,7,4,2,6,5,1,3] => [5,4,2,6,7,1,8,3] => [6,8,1,4,5,3,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,2,5,4,7,1,6] => [7,3,8,5,2,1,4,6] => [5,7,3,8,2,4,6,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[2,1,8,5,4,7,3,6] => [2,1,7,5,8,3,4,6] => [2,1,7,8,5,4,6,3] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[8,7,4,3,6,5,1,2] => [5,1,4,6,7,2,8,3] => [6,1,8,4,5,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,6,5,3,1,4,2] => [3,5,4,2,6,7,8,1] => [8,3,4,1,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,1,3,2,4] => [5,3,1,2,6,7,8,4] => [3,8,2,1,5,6,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,6,5,1,3,4,2] => [5,4,1,3,6,7,8,2] => [4,8,2,1,5,6,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,6,5,1,4,3,2] => [5,3,4,1,6,7,8,2] => [3,8,4,2,5,6,7,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,6,5,4,1,3,2] => [4,3,1,5,6,7,8,2] => [3,8,2,4,5,6,7,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,4,3,6,1,5,2] => [6,5,4,7,1,3,8,2] => [5,6,8,4,3,1,7,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[8,3,2,7,6,1,5,4] => [6,3,7,5,2,8,1,4] => [5,7,3,8,2,6,4,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[2,1,8,7,6,3,5,4] => [2,1,6,5,3,7,8,4] => [2,1,5,8,4,6,7,3] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[8,3,2,7,6,1,4,5] => [6,3,7,2,4,8,1,5] => [7,8,3,1,2,6,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,7,6,5,1,4,2,3] => [5,4,2,1,6,7,8,3] => [4,8,1,3,5,6,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,6,5,1,2,4,3] => [5,1,4,2,6,7,8,3] => [4,1,8,3,5,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,3,5,1,8,4,6,2] => [5,6,7,8,3,4,1,2] => [8,7,6,5,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,1,8,5,6,2] => [4,6,7,3,8,5,1,2] => [8,7,4,1,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,2,1,8,7,3] => [2,6,7,4,5,1,8,3] => [5,2,4,6,8,3,7,1] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[7,6,5,1,8,4,3,2] => [5,3,4,6,7,8,1,2] => [3,8,7,4,5,6,2,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,8,5,3,2] => [4,3,6,5,7,8,1,2] => [4,8,3,7,5,6,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,7,6,4,8] => [1,3,5,6,2,7,4,8] => [1,7,3,5,4,6,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,2,1,8,7,6,4] => [2,3,5,6,1,7,8,4] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,1,7,8,6,4] => [3,2,5,6,1,8,7,4] => [2,7,3,5,4,6,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,6,4,1,7,8,5,3] => [4,2,6,5,8,3,7,1] => [2,7,4,6,5,1,8,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,5,7,1,6,8,2,3] => [7,8,2,4,5,1,6,3] => [5,4,1,7,8,3,2,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[6,5,1,2,8,4,3,7] => [5,1,4,6,8,3,2,7] => [6,1,8,4,5,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,3,1,2,8,6,4,7] => [3,1,5,6,2,8,4,7] => [8,1,3,5,4,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,8,6,5,7] => [3,1,4,2,6,8,5,7] => [4,1,3,2,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[6,1,2,5,8,3,4,7] => [6,1,8,3,2,5,4,7] => [8,1,6,2,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,4,8,2,5,6] => [7,8,1,3,2,5,4,6] => [8,7,2,1,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,6,8,2,3,4] => [7,8,2,3,1,5,6,4] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,5,7,8,3,4] => [6,2,8,3,1,5,7,4] => [2,7,6,1,4,3,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,4,1,6,8,5,2,3] => [4,7,1,5,8,2,6,3] => [8,4,2,7,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,1,8,6,7,4] => [3,5,2,7,1,8,6,4] => [8,3,1,5,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,1,6,8,7,4] => [2,5,3,7,1,6,8,4] => [3,2,6,5,4,8,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,6,2,5,7,3,4,8] => [1,6,7,3,2,5,4,8] => [1,7,6,2,4,3,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,1,5,8,7,3,4] => [2,6,7,3,1,5,8,4] => [8,2,6,1,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,8,5,7,3] => [4,6,7,2,8,1,5,3] => [8,7,4,2,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,1,8,4,7,3] => [5,6,7,8,2,1,4,3] => [8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,4,8,6,2,5] => [3,7,6,2,1,8,4,5] => [8,3,7,1,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,4,8,7,3,5] => [2,6,7,1,3,4,8,5] => [8,2,6,3,4,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => [1,7,6,3,4,5,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,1,3,8,7,4,6] => [2,5,1,7,3,4,8,6] => [8,2,1,5,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,3,8,5,2,6] => [4,7,2,5,8,1,3,6] => [8,4,1,7,5,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,3,8,4,2,6] => [5,4,2,7,8,1,3,6] => [7,8,1,4,5,3,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,6,7,1,4,8,2,5] => [7,8,3,1,2,6,4,5] => [6,3,7,2,4,8,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[7,6,1,4,8,3,2,5] => [6,3,7,2,1,8,4,5] => [7,8,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,2,1,3,8,7,5,6] => [2,4,1,3,7,5,8,6] => [4,2,1,3,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[2,6,1,4,7,8,3,5] => [6,2,8,1,3,4,7,5] => [2,7,6,3,4,5,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,1,4,6,8,2,3,5] => [7,8,2,1,3,4,6,5] => [8,7,1,3,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,5,8,2,4,6] => [7,8,1,2,3,4,5,6] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,4,8,3,5,7] => [6,1,8,2,3,4,5,7] => [8,1,6,3,4,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,1,6,4,8,7] => [3,5,2,6,1,4,8,7] => [6,3,1,5,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,4,5,2,3,1,8,6] => [3,5,2,7,4,8,1,6] => [8,3,1,5,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,3,5,2,4,1] => [4,5,7,2,3,8,6,1] => [8,5,4,2,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,2,4,1,8,6] => [4,5,7,2,3,8,1,6] => [8,5,4,2,1,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,2,4,1,8,7] => [4,5,6,2,3,1,8,7] => [6,5,4,2,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,2,4,1,6,3,8,7] => [4,5,6,2,1,3,8,7] => [6,5,4,2,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,1,6,3,5,2,8,7] => [4,5,6,1,3,2,8,7] => [6,5,4,3,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,3,4,1,5,2,8,7] => [4,5,6,3,1,2,8,7] => [6,5,4,1,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,2,6,3,4,1,8,7] => [4,5,6,3,2,1,8,7] => [6,5,4,1,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,2,7,3,4,1,8,6] => [4,5,7,3,2,8,1,6] => [8,5,4,1,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,6,7,3,4,1] => [4,5,7,3,2,8,6,1] => [8,5,4,1,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,5,7,3,4,1] => [4,6,7,3,8,2,5,1] => [8,7,4,1,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,3,4,1,8,5] => [4,6,7,3,8,2,1,5] => [8,7,4,1,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,1,5,2,8,6] => [4,5,7,3,1,8,2,6] => [8,5,4,1,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,3,5,2,8,6] => [4,5,7,1,3,8,2,6] => [8,5,4,3,1,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,4,5,2,8,6] => [3,5,1,7,4,8,2,6] => [8,3,2,5,1,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,4,5,3,8,6] => [2,1,5,7,4,8,3,6] => [2,1,8,5,3,7,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,8,6,7,4,5,2] => [3,5,1,7,4,8,6,2] => [8,3,2,5,1,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,6,7,3,5,2] => [4,5,7,1,3,8,6,2] => [8,5,4,3,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,3,4,1,5,2] => [4,5,7,3,1,8,6,2] => [8,5,4,1,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,4,1,6,2] => [4,6,7,3,8,1,5,2] => [8,7,4,1,6,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,7,3,4,1] => [4,6,7,3,8,5,2,1] => [8,7,4,1,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,5,1,6,2] => [5,6,7,8,3,1,4,2] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,4,7,3,6,2] => [5,6,7,8,1,3,4,2] => [8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,5,7,3,6,2] => [4,6,7,1,8,3,5,2] => [8,7,4,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,5,7,4,6,2] => [3,6,1,7,8,4,5,2] => [8,3,2,7,6,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,7,4,6,3] => [2,1,6,7,8,4,5,3] => [2,1,8,7,6,4,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,4,6,3,8,5] => [2,1,6,7,8,4,3,5] => [2,1,8,7,6,4,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,7,4,6,2,8,5] => [3,6,1,7,8,4,2,5] => [8,3,2,7,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,3,6,2,8,5] => [4,6,7,1,8,3,2,5] => [8,7,4,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,3,6,2,8,4] => [5,6,7,8,1,3,2,4] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,3,5,1,8,4] => [5,6,7,8,3,2,1,4] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,4,7,3,5,1] => [5,6,7,8,3,2,4,1] => [8,7,6,5,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,6,2,5,1] => [5,6,7,8,2,3,4,1] => [8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,2,5,1,8,4] => [5,6,7,8,2,3,1,4] => [8,7,6,5,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,1,7,3,8,4] => [5,6,7,8,2,1,3,4] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,1,7,3,8,6] => [4,5,7,2,1,8,3,6] => [8,5,4,2,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,7,3,8,5] => [4,6,7,2,8,1,3,5] => [8,7,4,2,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,6,2,4,1] => [4,6,7,2,8,3,5,1] => [8,7,4,2,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,6,2,3,1] => [3,6,2,7,8,4,5,1] => [8,3,1,7,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,2,3,1,8,5] => [3,6,2,7,8,4,1,5] => [8,3,1,7,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,1,7,4,8,5] => [3,6,2,7,8,1,4,5] => [8,3,1,7,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,1,7,4,8,6] => [3,5,2,7,1,8,4,6] => [8,3,1,5,4,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,1,7,5,8,6] => [3,4,2,1,7,8,5,6] => [4,3,1,2,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[3,1,4,2,8,6,7,5] => [3,4,1,2,7,8,6,5] => [4,3,2,1,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[6,2,3,1,8,5,7,4] => [3,6,2,7,8,1,5,4] => [8,3,1,7,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,3,1,7,4] => [3,6,2,7,8,5,1,4] => [8,3,1,7,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,5,6,2,3,1] => [3,6,2,7,8,5,4,1] => [8,3,1,7,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,6,2,4,1] => [4,6,7,2,8,5,3,1] => [8,7,4,2,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,4,1,7,3] => [4,6,7,2,8,5,1,3] => [8,7,4,2,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,1,8,6,7,3] => [4,5,7,2,1,8,6,3] => [8,5,4,2,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,2,8,6,7,3] => [4,5,7,1,2,8,6,3] => [8,5,4,3,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,2,8,6,7,4] => [3,5,1,7,2,8,6,4] => [8,3,2,5,4,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,8,5,7,4] => [2,1,6,7,8,3,5,4] => [2,1,8,7,6,5,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,2,8,5,7,4] => [3,6,1,7,8,2,5,4] => [8,3,2,7,6,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,8,5,7,3] => [4,6,7,1,8,2,5,3] => [8,7,4,3,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,8,4,7,3] => [5,6,7,8,1,2,4,3] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,2,5,1,7,3] => [5,6,7,8,2,4,1,3] => [8,7,6,5,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,4,6,2,5,1] => [5,6,7,8,2,4,3,1] => [8,7,6,5,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,3,8,4,5,1] => [5,6,7,8,4,2,3,1] => [8,7,6,5,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,1,6,2,7,3] => [5,6,7,8,4,1,2,3] => [8,7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,4,6,2,7,3] => [5,6,7,8,1,4,2,3] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,5,6,2,7,3] => [4,6,7,1,8,5,2,3] => [8,7,4,3,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,5,6,2,7,4] => [3,6,1,7,8,5,2,4] => [8,3,2,7,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,6,3,7,4] => [2,1,6,7,8,5,3,4] => [2,1,8,7,6,3,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,4,8,5,6,3] => [2,1,6,7,8,5,4,3] => [2,1,8,7,6,3,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,7,4,8,5,6,2] => [3,6,1,7,8,5,4,2] => [8,3,2,7,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,3,8,5,6,2] => [4,6,7,1,8,5,3,2] => [8,7,4,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,4,5,1,6,2] => [5,6,7,8,4,1,3,2] => [8,7,6,5,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,1,7,3,6,2] => [5,6,7,8,4,3,1,2] => [8,7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,2,8,4,5,1] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,1,3,4,2] => [6,4,1,3,8,5,7,2] => [4,7,2,1,6,3,8,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,3,8,4,7,2,5,6] => [1,7,3,8,2,5,4,6] => [1,3,8,7,4,2,6,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,6,1,4,7,2,5,8] => [6,7,3,1,2,4,5,8] => [6,3,7,2,4,5,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[7,8,2,4,5,6,1,3] => [6,8,1,2,4,5,7,3] => [7,6,2,3,1,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,2,1,6,3,4,5] => [2,8,6,3,4,1,7,5] => [6,2,7,1,3,5,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[7,8,5,1,4,2,6,3] => [5,4,8,3,6,2,7,1] => [5,7,4,1,6,2,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,5,8,4,3,2,7,6] => [1,3,4,8,5,7,2,6] => [1,5,3,4,7,8,6,2] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[5,6,1,4,3,2,7,8] => [6,3,4,1,5,2,7,8] => [3,5,4,2,6,1,7,8] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[2,6,4,8,3,7,1,5] => [7,2,8,6,1,4,3,5] => [2,7,6,8,4,3,5,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,4,8,5,3,1,6,7] => [3,2,5,4,8,1,6,7] => [2,4,3,8,5,1,6,7] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,5,8,4,7,6,1,2] => [6,1,3,7,5,8,2,4] => [3,1,7,5,8,6,4,2] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[5,6,2,1,4,7,8,3] => [2,6,8,1,5,4,7,3] => [6,2,5,3,7,1,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[4,6,2,5,3,1,8,7] => [3,5,6,4,1,2,8,7] => [5,4,3,6,2,1,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,7,5,1,3,6,8,2] => [5,7,2,4,8,3,6,1] => [7,4,1,8,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,7,3,6,1,4,8,2] => [6,8,7,1,5,3,4,2] => [7,5,6,3,8,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,3,6,7,2,1,8,4] => [2,7,5,8,3,6,1,4] => [6,2,7,5,3,8,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[6,3,1,2,4,5,8,7] => [3,1,6,2,4,5,8,7] => [6,1,3,2,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,4,7,2,5,3,8,6] => [1,7,5,4,2,8,3,6] => [1,4,5,8,3,7,6,2] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,6,1,8,4,2,5,7] => [6,4,3,8,2,1,5,7] => [3,6,8,4,1,5,2,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,5,6,7,8,1,4,2] => [8,4,3,1,5,6,7,2] => [3,4,5,2,6,7,8,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[2,7,5,6,8,4,1,3] => [4,2,1,8,7,5,6,3] => [2,7,1,4,8,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,1,6,8,4,5,3,7] => [2,1,5,8,4,6,3,7] => [2,1,6,5,3,8,4,7] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[4,3,8,5,6,7,1,2] => [7,1,4,3,8,5,6,2] => [4,1,8,2,7,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,2,8,1,6,3,7,5] => [8,4,6,2,7,1,3,5] => [4,8,6,2,7,5,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,2,8,4,5,6,1,7] => [6,3,2,8,4,5,1,7] => [3,8,1,6,2,4,5,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,8,6,1,7,5] => [6,4,3,2,8,7,5,1] => [3,4,8,1,6,7,2,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,4,7,1,5,2,6,8] => [7,5,3,4,1,2,6,8] => [3,4,5,7,2,1,6,8] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[4,3,7,8,1,2,6,5] => [8,1,4,3,6,2,7,5] => [4,1,6,2,7,5,8,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,7,3,8,5,2,6,4] => [1,5,8,7,6,3,4,2] => [1,8,5,6,7,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,8,6,3,2,1,4] => [2,3,6,1,5,8,7,4] => [5,2,3,1,7,6,8,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[7,1,3,4,8,2,6,5] => [7,8,1,3,6,2,4,5] => [7,6,2,1,8,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,6,3,4,5,8,1,7] => [8,2,6,3,4,5,1,7] => [2,6,8,1,3,4,5,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,6,4,1,8,3,7,5] => [4,2,6,8,7,3,1,5] => [2,8,6,4,7,3,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,4,8,3,5,6] => [2,7,8,1,3,5,4,6] => [8,2,7,3,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,5,2,8,3,4] => [7,5,8,3,1,6,2,4] => [6,7,5,1,4,8,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,7,5,3,8,4,1,2] => [4,1,8,5,7,6,2,3] => [7,1,4,5,6,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,1,5,3,4,2,8,6] => [7,4,5,3,1,8,2,6] => [4,8,5,1,3,7,6,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,5,3,2,8,4] => [6,3,5,7,4,8,2,1] => [3,8,7,5,1,6,2,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,1,2,8,3] => [4,1,6,8,7,5,3,2] => [8,1,6,4,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,4,3,1,8,2] => [3,4,5,7,8,6,2,1] => [7,6,3,4,5,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,6,4,2,5,7,3,8] => [1,4,6,7,3,5,2,8] => [1,7,6,4,2,3,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,8,1,3,7,5,4,2] => [8,4,1,5,7,6,3,2] => [4,7,2,5,6,8,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[7,3,1,6,4,5,2,8] => [3,7,5,6,4,2,1,8] => [7,3,5,6,1,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,4,2,6,5,1,3,8] => [5,4,2,6,7,1,3,8] => [6,7,1,4,5,3,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[7,4,6,3,1,5,2,8] => [3,6,5,7,2,4,1,8] => [7,3,6,5,2,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,5,7,2,3,8,6,4] => [1,7,2,6,5,8,3,4] => [1,5,2,7,8,6,4,3] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[5,8,2,3,7,6,4,1] => [4,6,2,7,5,8,3,1] => [7,5,1,4,8,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,2,8,1,3,7,4,5] => [8,6,1,7,4,2,3,5] => [6,8,2,7,1,5,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,8,2,4,1,5,7,3] => [4,8,7,2,1,6,5,3] => [7,4,6,2,3,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,3,1,2,4,7,5] => [3,1,8,2,7,6,4,5] => [6,1,3,2,7,8,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[2,1,4,7,8,5,6,3] => [2,1,6,4,8,5,7,3] => [2,1,4,7,6,3,8,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[3,5,7,4,1,6,2,8] => [4,7,3,6,5,2,1,8] => [4,3,6,5,7,1,2,8] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[5,2,1,8,6,3,7,4] => [2,5,6,8,1,7,4,3] => [8,2,6,5,4,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,7,5,8,6,3] => [1,4,6,2,8,7,3,5] => [1,8,4,3,6,7,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,7,4,3,6,1,2] => [6,1,4,7,5,3,8,2] => [5,1,6,4,8,2,7,3] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[6,4,2,8,7,1,3,5] => [7,4,1,6,3,2,8,5] => [4,8,2,6,1,5,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,8,7,2,5,1,4] => [5,7,6,1,2,3,8,4] => [8,5,6,3,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,7,1,6,4,2] => [7,4,6,8,5,1,2,3] => [5,7,6,4,8,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,5,3,7,8,6,2,4] => [1,6,5,2,3,8,7,4] => [1,5,7,3,4,6,8,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[5,8,7,4,1,6,2,3] => [4,7,1,6,5,2,8,3] => [6,4,2,5,8,3,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,5,1,2,7,6,3,8] => [5,1,6,4,2,7,3,8] => [5,1,4,7,3,6,2,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[3,5,6,1,8,4,7,2] => [6,7,3,8,5,1,4,2] => [6,3,7,5,8,4,1,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[4,2,6,1,7,3,5,8] => [6,4,7,2,3,1,5,8] => [6,7,4,2,1,5,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[4,6,3,1,2,7,5,8] => [3,1,6,4,7,2,5,8] => [4,1,3,7,6,5,2,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[3,5,2,7,8,1,6,4] => [8,5,3,6,2,1,7,4] => [3,5,7,6,2,4,8,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[3,4,6,8,5,2,7,1] => [7,5,3,4,8,6,2,1] => [3,4,6,7,5,8,1,2] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[3,5,6,2,8,4,7,1] => [7,6,3,8,5,2,4,1] => [3,6,7,5,8,2,1,4] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[4,2,5,6,1,8,7,3] => [6,4,7,2,5,1,8,3] => [5,6,4,2,8,3,7,1] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[4,5,3,1,6,8,7,2] => [3,5,7,4,2,6,8,1] => [5,4,3,6,1,8,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[2,1,7,5,8,6,4,3] => [2,1,4,6,8,7,3,5] => [2,1,8,4,6,7,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,2,7,3,8,6,5] => [4,1,7,2,6,8,3,5] => [7,1,4,3,8,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,3,7,2,4,8,6,5] => [1,7,3,2,6,8,4,5] => [1,3,7,2,8,6,5,4] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[2,4,1,7,8,6,5,3] => [4,2,5,1,6,8,7,3] => [2,7,4,3,5,6,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,4,7,5,1,8,6,2] => [5,7,3,4,6,8,2,1] => [4,3,5,8,7,6,1,2] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[5,2,8,1,3,7,4,6] => [8,5,1,7,2,4,3,6] => [5,8,2,7,4,1,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,6,8,3,1,5,7,4] => [3,2,8,7,1,6,5,4] => [2,6,3,7,4,8,1,5] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[2,8,6,4,1,5,7,3] => [4,2,6,8,1,7,5,3] => [2,8,6,4,3,7,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,5,1,8,2] => [5,8,6,7,4,3,1,2] => [8,5,7,6,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,7,5,8,1,4] => [8,2,6,1,7,3,5,4] => [2,6,8,3,7,5,1,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,1,7,8,3,4,6] => [2,5,8,3,1,4,7,6] => [7,2,5,1,4,3,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,7,2,3,6,8,1,5] => [8,7,2,4,1,3,6,5] => [4,7,1,8,3,5,2,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[5,3,8,4,6,1,7,2] => [6,7,5,8,3,4,1,2] => [7,6,8,5,2,1,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,1,3,6,2,5,7] => [4,8,2,6,1,3,5,7] => [8,4,1,6,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,1,7,2,5,6] => [3,8,7,4,1,5,2,6] => [7,3,4,8,2,1,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,2,8,4,7,1,6,3] => [7,5,6,8,2,1,4,3] => [6,8,7,5,3,4,1,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,4,7,3,1,6,2] => [3,7,6,8,5,2,4,1] => [7,3,6,5,8,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,3,1,8,2,4,7,5] => [3,6,8,1,7,2,4,5] => [8,6,3,2,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,1,2,6,4,7] => [8,1,5,6,3,2,4,7] => [5,1,8,6,3,4,2,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,6,2,8,5,3,7,4] => [1,6,5,8,7,2,4,3] => [1,7,8,5,6,4,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,8,5,3,1,7,4,2] => [3,5,4,8,7,6,1,2] => [7,3,5,4,6,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,6,3,7,1,2,4,8] => [7,1,6,2,5,3,4,8] => [5,1,6,3,7,4,2,8] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[6,3,2,7,8,5,1,4] => [5,3,8,2,6,1,7,4] => [5,7,3,1,6,4,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[4,5,7,8,3,1,6,2] => [3,8,6,4,5,2,7,1] => [5,3,4,6,7,1,8,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[8,1,3,4,6,2,5,7] => [8,6,1,3,2,4,5,7] => [6,8,2,1,4,5,3,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,8,2,4,6,7,1,5] => [7,8,3,2,1,4,6,5] => [7,3,8,1,4,5,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,5,6,8,2,7,1,4] => [7,8,3,1,5,6,2,4] => [5,3,6,2,7,8,4,1] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[2,4,5,6,8,1,7,3] => [8,2,7,4,5,6,1,3] => [2,4,5,6,7,8,3,1] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[4,8,3,5,6,1,7,2] => [6,7,8,4,3,5,1,2] => [7,6,4,8,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,7,3,4,1,2,6] => [4,1,7,3,5,2,8,6] => [5,1,4,2,8,3,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,8,4,7,2,5,3,1] => [3,5,7,8,1,6,4,2] => [7,6,3,5,4,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,4,8,7,1,6,3,2] => [7,3,6,5,4,1,8,2] => [3,6,5,8,1,4,7,2] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,8,7,6,1,2,4] => [6,1,5,2,3,7,8,4] => [5,1,8,3,4,6,7,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,3,8,7,6,1,2,5] => [6,1,4,3,2,7,8,5] => [4,1,8,2,3,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,8,4,7,5,1,2,6] => [5,1,3,7,8,4,2,6] => [3,1,8,7,5,2,6,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,4,8,7,6,1,2,5] => [6,1,3,4,2,7,8,5] => [3,1,4,8,2,6,7,5] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[3,5,8,7,6,1,2,4] => [6,1,3,2,5,7,8,4] => [3,1,5,2,8,6,7,4] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[4,5,8,7,6,1,2,3] => [6,1,2,4,5,7,8,3] => [4,1,2,5,8,6,7,3] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[3,5,8,2,7,6,4,1] => [4,6,3,7,5,8,2,1] => [5,3,7,4,8,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[8,1,4,6,2,5,3,7] => [8,6,5,1,2,4,3,7] => [5,6,8,3,4,1,2,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,8,4,7,2,5,3,6] => [1,7,5,8,2,3,4,6] => [1,7,8,5,4,3,6,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,4,8,7,2,6,3,5] => [1,7,6,4,3,2,8,5] => [1,4,6,8,2,5,7,3] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,5,8,2,7,6,4,3] => [1,8,4,6,5,7,2,3] => [1,4,6,5,8,7,3,2] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[2,5,8,3,7,6,4,1] => [4,2,6,7,5,8,3,1] => [2,7,5,4,8,6,1,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,4,2,8,7,6,5,3] => [1,4,5,2,6,7,8,3] => [1,8,4,3,5,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,2,7,6,4,5] => [1,8,3,6,4,7,2,5] => [1,3,6,8,2,7,5,4] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[8,1,3,2,6,5,4,7] => [8,3,1,5,6,2,4,7] => [3,5,2,8,6,4,1,7] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[8,2,3,1,6,5,4,7] => [3,8,2,5,6,1,4,7] => [5,3,1,8,6,4,2,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,4,1,8,7,6,5,2] => [4,5,3,1,6,7,8,2] => [4,3,8,2,5,6,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,3,1,8,7,6,5,2] => [3,4,5,2,6,7,8,1] => [8,4,3,1,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,7,1,6,3,5] => [7,4,6,2,3,1,8,5] => [4,8,6,2,1,5,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,2,8,1,7,6,4,3] => [8,5,4,6,2,7,1,3] => [4,6,8,5,2,7,3,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[5,3,8,2,7,6,4,1] => [4,6,7,5,1,8,2,3] => [8,5,4,7,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,2,1,4,3,5] => [2,7,4,1,3,6,8,5] => [4,2,6,3,1,8,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[8,5,6,1,2,4,3,7] => [6,1,4,2,8,5,3,7] => [4,1,8,3,6,2,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,8,7,1,2,4,3,6] => [7,1,4,2,5,3,8,6] => [4,1,5,3,8,2,7,6] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[6,8,1,2,7,5,4,3] => [8,1,4,5,7,6,2,3] => [4,1,7,5,6,8,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[5,1,8,3,7,6,4,2] => [5,4,6,7,1,8,3,2] => [7,8,5,4,3,6,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,8,7,2,6,3,4] => [5,7,6,3,1,2,8,4] => [8,5,6,1,4,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,2,6,3,5] => [4,7,6,1,3,2,8,5] => [8,4,6,3,1,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,6,2,5,3,7] => [4,8,6,5,3,2,1,7] => [8,4,5,6,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,2,6,5,4,7] => [3,1,8,5,6,2,4,7] => [5,1,3,8,6,4,2,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,8,1,2,7,5,4,6] => [8,1,3,5,7,4,2,6] => [3,1,5,8,7,2,6,4] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[3,1,2,8,7,6,5,4] => [3,1,2,5,6,7,8,4] => [3,1,2,8,5,6,7,4] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[4,1,3,8,7,6,5,2] => [4,5,1,3,6,7,8,2] => [8,4,2,1,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,8,7,6,5,2] => [3,5,1,4,6,7,8,2] => [4,3,2,8,5,6,7,1] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[2,1,8,3,7,6,4,5] => [2,1,8,6,4,7,3,5] => [2,1,6,8,3,7,5,4] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,8,3,7,6,4,5] => [1,2,8,6,4,7,3,5] => [1,2,6,8,3,7,5,4] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,4,5,2,8,3,7,6] => [1,5,8,4,2,7,3,6] => [1,5,4,7,3,8,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,4,2,6,5,8,3,7] => [1,4,8,2,6,5,3,7] => [1,6,4,3,8,2,5,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,6,4,2,5,8,3,7] => [1,4,6,8,3,5,2,7] => [1,8,6,4,2,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,6,4,8,3,7] => [1,5,8,6,2,4,3,7] => [1,8,5,6,4,2,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,4,7,3,8,6] => [1,2,7,5,4,8,3,6] => [1,2,5,8,3,7,6,4] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[4,1,2,6,3,8,7,5] => [4,1,6,2,7,3,8,5] => [8,1,4,3,6,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,5,2,8,4,6] => [7,5,1,8,3,4,2,6] => [7,8,2,5,3,1,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,4,5,2,8,7,3,6] => [1,5,7,4,2,3,8,6] => [1,5,4,8,3,2,7,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,4,2,8,3,7,6,5] => [1,4,8,2,6,7,3,5] => [1,6,4,3,8,7,5,2] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,2,5,3,8,7,6,4] => [1,2,5,6,3,7,8,4] => [1,2,8,5,4,6,7,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,6,5,3,7,4] => [1,2,5,6,8,7,3,4] => [1,2,8,6,5,7,4,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,2,8,7,3,5] => [1,4,6,7,2,3,8,5] => [1,8,6,4,3,5,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,8,7,3,4,5] => [2,6,7,3,4,1,8,5] => [8,2,6,1,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,1,8,3,4,5] => [2,6,7,1,4,8,3,5] => [8,2,7,3,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,2,8,4,5] => [3,7,6,8,4,2,1,5] => [8,3,7,6,1,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,4,2,8,3,5] => [1,4,6,7,3,8,2,5] => [1,8,7,4,2,6,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,2,6,3,8,4] => [1,5,7,6,8,3,4,2] => [1,8,6,7,5,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,7,5,3,8,4] => [1,6,5,7,8,2,4,3] => [1,7,8,6,5,4,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,2,7,6,5,3,8,4] => [1,2,5,6,7,8,3,4] => [1,2,8,7,5,6,4,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,5,3,8,7,4] => [1,2,5,6,7,4,8,3] => [1,2,8,6,5,3,7,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,6,3,8,7,4] => [1,5,6,7,2,3,8,4] => [1,8,6,5,4,3,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,7,6,3,8,4] => [1,5,6,7,2,8,4,3] => [1,8,7,5,4,6,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,2,7,3,8,4] => [1,5,6,7,8,3,4,2] => [1,8,7,6,5,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,4,2,8,3,6] => [1,4,7,8,5,2,3,6] => [1,7,5,4,8,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,1,2,8,6,3,7,5] => [4,1,6,2,8,7,5,3] => [8,1,4,3,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,1,8,2,5,6] => [7,8,4,3,2,5,1,6] => [7,4,8,1,2,3,6,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,3,1,6,2,4,7,5] => [3,8,6,1,7,2,4,5] => [8,3,6,2,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,3,2,4,6,5] => [7,3,8,2,6,4,1,5] => [6,7,3,1,8,4,5,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,4,8,5,2,7,3,6] => [1,5,8,4,7,2,3,6] => [1,5,4,8,7,3,6,2] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,8,5,2,6,3,7,4] => [1,5,8,6,7,3,4,2] => [1,8,5,7,6,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,7,3,8,6,4] => [1,5,7,6,2,8,3,4] => [1,8,5,7,4,6,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,5,3,7,6,4] => [1,2,5,8,6,7,4,3] => [1,2,8,5,6,7,3,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,3,8,7,5,4] => [1,2,6,5,7,3,8,4] => [1,2,6,8,5,4,7,3] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,7,6,3,8,5,4] => [1,2,6,5,7,8,4,3] => [1,2,7,8,5,6,3,4] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,2,7,3,8,5,4] => [1,6,7,5,8,2,3,4] => [1,7,6,8,5,4,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,7,4,2,8,6,3,5] => [1,4,7,6,2,8,3,5] => [1,8,4,7,3,6,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,8,7,6,3,5] => [1,4,6,2,3,7,8,5] => [1,8,4,3,2,6,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,7,5,3,6,4] => [1,2,5,7,6,4,8,3] => [1,2,8,5,6,3,7,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,6,3,7,5,4] => [1,2,6,5,8,7,4,3] => [1,2,6,8,5,7,3,4] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,7,3,8,6,5,4] => [1,2,7,5,6,8,3,4] => [1,2,5,8,7,6,4,3] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[5,7,8,6,2,4,1,3] => [4,6,1,2,5,8,7,3] => [5,4,2,3,7,6,8,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[8,1,4,5,3,7,6,2] => [8,6,5,1,4,7,3,2] => [5,6,8,3,1,7,2,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,1,4,5,3,8,7,2] => [6,7,5,1,4,3,8,2] => [6,5,8,3,1,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,4,8,3,5,7,2] => [6,7,8,1,3,4,5,2] => [8,7,6,3,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,3,4,5,2] => [7,5,6,3,4,8,1,2] => [5,8,7,1,2,6,4,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,4,5,3,8,6,2] => [7,6,5,1,4,8,3,2] => [5,7,8,3,1,6,2,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,1,4,5,3,6,7,2] => [8,7,5,1,4,3,6,2] => [5,7,8,3,1,2,4,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,3,5,7,2,1,8,4] => [2,7,6,8,3,5,1,4] => [7,2,8,6,3,1,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,4,1,8,2,3,7,6] => [4,5,1,8,2,7,3,6] => [7,5,2,4,3,8,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,3,5,8,2,1,4,7] => [2,8,6,1,3,5,4,7] => [6,2,8,3,4,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,3,4,1,8,6,5,7] => [4,2,3,1,6,8,5,7] => [2,3,4,1,8,6,5,7] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,3,8,6,1,5,7,4] => [6,2,3,8,4,7,5,1] => [2,3,8,6,1,7,4,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,8,6,7,1,3,5,4] => [7,2,1,5,3,8,6,4] => [2,5,1,8,4,7,3,6] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[8,3,5,7,2,1,6,4] => [2,7,8,6,3,1,5,4] => [7,2,6,8,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,4,5,6,3,1,7,2] => [3,6,7,8,4,5,2,1] => [8,7,3,6,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,6,2,1,4,8] => [2,6,7,1,3,5,4,8] => [7,2,6,3,4,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,7,5,6,1,4,2,3] => [6,4,2,1,7,5,8,3] => [4,8,1,3,6,2,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,1,8,5,7,3] => [4,2,6,7,8,3,5,1] => [2,8,7,4,6,3,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,3,8,5,7,4] => [6,2,1,7,8,3,5,4] => [2,8,1,7,6,5,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,2,8,4,6] => [5,1,7,8,3,4,2,6] => [8,1,7,5,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,3,4,2,5] => [8,4,6,3,2,1,7,5] => [4,7,6,1,2,5,8,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[2,3,8,6,4,1,7,5] => [4,2,3,6,8,7,5,1] => [2,3,8,4,6,7,1,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,8,6,7,4,3,1,5] => [3,2,4,7,1,8,6,5] => [2,8,3,4,1,7,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,5,7,2,4,1,6] => [4,7,8,2,3,1,5,6] => [8,7,4,2,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,8,7,5,6] => [4,2,3,1,7,5,8,6] => [2,3,4,1,8,5,7,6] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[2,8,6,1,4,3,5,7] => [6,2,4,1,3,8,5,7] => [2,4,8,3,1,6,5,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[9,1,2,3,4,5,6,7,10,8] => [9,1,2,3,4,5,6,10,7,8] => [10,1,2,3,4,5,6,9,8,7] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,1,2,3,4,5,6,9,8] => [7,1,2,3,4,5,6,9,8] => [7,1,2,3,4,5,6,9,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[2,1,9,3,4,5,6,7,8] => [2,1,9,3,4,5,6,7,8] => [2,1,9,3,4,5,6,7,8] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,1,3,4,5,6,7,9] => [8,2,1,3,4,5,6,7,9] => [2,8,1,3,4,5,6,7,9] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,10,1,3,4,5,6,7,8,9] => [10,2,1,3,4,5,6,7,8,9] => [2,10,1,3,4,5,6,7,8,9] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[8,4,3,6,5,1,7,2] => [5,6,4,7,8,1,2,3] => [7,6,8,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,6,3,4,1,7,2] => [4,7,6,3,8,5,1,2] => [8,4,7,1,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,4,2,3,8] => [1,4,2,5,6,7,3,8] => [1,7,2,4,5,6,3,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,8,6,2,4,1,7,3] => [4,6,8,3,5,7,1,2] => [6,5,4,1,8,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,8,2,6,5,1,7,3] => [5,6,8,4,7,3,2,1] => [7,5,4,8,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,2,1,7,6,4,5,8] => [2,3,1,6,4,7,5,8] => [3,2,1,7,4,6,5,8] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[6,1,7,5,3,2,4,8] => [6,3,5,2,7,1,4,8] => [3,7,6,1,5,4,2,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,1,6,5,2,4,3,8] => [7,5,4,2,6,1,3,8] => [4,5,7,2,6,3,1,8] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[8,1,6,5,2,3,7,4] => [8,5,2,6,7,1,4,3] => [5,8,1,7,6,4,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,2,7,6,3,4,5,8] => [1,2,6,3,4,7,5,8] => [1,2,7,3,4,6,5,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => [1,2,7,8,3,4,6,5] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[8,1,7,2,6,3,5,4] => [8,7,6,5,3,2,1,4] => [5,6,7,8,2,3,4,1] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[6,1,8,2,4,7,3,5] => [6,8,7,2,3,1,4,5] => [8,6,7,2,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,3,2,7,4,6] => [5,3,8,7,1,4,2,6] => [5,8,3,7,4,1,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,1,3,8,2,7,5,6] => [4,8,1,3,7,5,2,6] => [7,4,2,1,8,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,2,8,7,1,6,5,4] => [7,3,2,5,6,1,8,4] => [3,5,1,8,6,4,7,2] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[5,8,7,2,1,6,4,3] => [2,7,4,6,5,1,8,3] => [4,2,6,5,8,3,7,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[6,8,7,1,3,5,4,2] => [7,4,1,5,3,6,8,2] => [4,6,2,5,1,8,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[7,8,6,1,5,3,4,2] => [6,4,5,3,1,8,7,2] => [4,7,5,1,3,6,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[8,7,6,1,5,4,3,2] => [6,3,4,5,1,7,8,2] => [3,8,4,5,2,6,7,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,2,6,5,3,4] => [1,7,5,3,6,2,8,4] => [1,5,8,2,6,4,7,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,7,8,2,5,6,3,4] => [1,8,6,3,2,5,7,4] => [1,6,7,2,4,3,8,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[7,6,8,1,4,3,5,2] => [8,5,4,1,3,7,6,2] => [4,5,7,3,1,8,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[6,5,8,3,2,1,7,4] => [2,3,8,7,6,5,1,4] => [6,2,3,7,8,1,5,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,6,8,4,2,7,3,5] => [1,4,8,7,2,6,3,5] => [1,7,4,6,3,8,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,5,4,8,2,7,3,6] => [1,8,7,5,4,3,2,6] => [1,5,7,8,2,3,6,4] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[8,4,3,7,1,6,5,2] => [7,5,4,6,8,1,2,3] => [4,7,8,6,5,3,2,1] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,4,3,8,1,5,6,2] => [8,6,4,7,1,5,3,2] => [4,7,8,6,3,1,2,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,5,4,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [1,5,2,4,3,6,7,8] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[8,5,1,4,2,3,7,6] => [5,4,2,1,8,7,3,6] => [4,7,1,3,5,8,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[7,5,1,4,2,6,3,8] => [5,4,7,3,6,2,1,8] => [5,7,4,1,6,2,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[6,5,1,4,3,2,7,8] => [5,3,4,1,6,2,7,8] => [3,6,4,2,5,1,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[3,2,6,1,5,4,7,8] => [6,3,2,5,1,4,7,8] => [3,5,1,6,4,2,7,8] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[4,7,2,1,3,6,5,8] => [2,7,1,4,6,3,5,8] => [4,2,1,6,7,5,3,8] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[6,7,1,2,4,5,3,8] => [7,1,5,2,4,6,3,8] => [5,1,6,3,2,7,4,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[7,6,1,2,5,4,3,8] => [6,1,4,5,2,7,3,8] => [4,1,7,5,3,6,2,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[8,6,1,2,5,3,7,4] => [6,1,5,8,4,7,3,2] => [6,1,8,5,2,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => [1,6,2,7,3,5,4,8] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[8,7,1,2,3,6,5,4] => [7,1,2,5,6,3,8,4] => [5,1,2,8,6,4,7,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,8,1,2,3,5,6,4] => [8,1,2,6,3,5,7,4] => [6,1,2,7,4,3,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[6,8,1,2,4,3,7,5] => [8,1,4,2,7,6,3,5] => [4,1,6,3,7,8,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[5,8,1,3,2,4,7,6] => [8,3,1,2,5,7,4,6] => [3,5,2,1,7,8,6,4] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[4,8,2,1,3,5,7,6] => [2,8,1,4,3,7,5,6] => [4,2,1,7,3,8,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[3,2,8,1,4,5,7,6] => [8,3,2,1,4,7,5,6] => [3,7,1,2,4,8,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,3,2,5,6,7,8] => [4,3,1,2,5,6,7,8] => [3,4,2,1,5,6,7,8] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[7,1,2,3,4,6,5,8] => [7,1,2,3,6,4,5,8] => [6,1,2,3,7,5,4,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[8,1,2,3,4,5,7,6] => [8,1,2,3,4,7,5,6] => [7,1,2,3,4,8,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,3,8,5,1,2,4] => [5,1,8,3,7,6,2,4] => [7,1,5,2,6,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,4,5,1,8,3,2] => [5,3,8,7,4,6,1,2] => [5,7,3,6,1,8,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[3,5,6,2,7,4,8,1] => [8,6,3,7,5,2,4,1] => [3,5,7,6,8,2,1,4] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[3,5,6,1,7,8,4,2] => [6,4,3,8,5,1,7,2] => [3,5,6,4,7,2,8,1] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[8,2,4,5,1,6,3,7] => [5,8,6,2,4,1,3,7] => [8,5,6,2,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,6,2,3,7,5] => [1,6,2,4,8,7,5,3] => [1,4,2,8,6,7,3,5] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,5,6,8,2,3,7,4] => [1,8,2,7,5,6,3,4] => [1,5,2,6,7,8,4,3] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[2,8,3,1,5,7,4,6] => [3,2,8,7,1,4,5,6] => [2,7,3,8,4,5,6,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,4,1,6,8,7,5,3] => [4,2,5,1,7,6,8,3] => [2,6,4,3,5,8,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[3,4,1,6,7,8,5,2] => [4,5,3,1,8,6,7,2] => [4,3,6,2,5,7,8,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[5,3,7,2,6,4,8,1] => [8,7,5,6,3,2,4,1] => [5,6,8,7,2,3,1,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,7,8,2,1,4,3,5] => [2,8,4,1,3,6,7,5] => [4,2,6,3,1,7,8,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[6,7,1,2,8,4,5,3] => [7,1,5,8,4,6,2,3] => [6,1,7,5,2,8,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[5,1,7,8,2,3,6,4] => [5,8,2,6,1,3,7,4] => [7,5,1,6,4,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,1,8,7,2,3,6,5] => [4,7,2,1,6,3,8,5] => [6,4,1,3,8,5,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => [1,7,2,3,4,8,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => [1,2,7,3,8,5,4,6] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[4,2,1,6,5,8,7,3] => [2,4,7,1,6,5,8,3] => [6,2,4,3,8,1,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,2,7,4,8,1,6,3] => [8,5,6,7,2,1,4,3] => [5,8,7,6,3,4,1,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,8,6,1,3] => [6,5,1,8,2,7,3,4] => [6,8,2,5,4,7,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,7,2,3,8,1,6,4] => [8,7,2,6,5,1,3,4] => [5,6,1,7,8,4,3,2] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[6,7,3,8,2,1,5,4] => [2,8,7,5,1,6,3,4] => [5,2,6,7,4,8,3,1] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[5,7,1,3,8,2,6,4] => [7,8,1,6,5,2,3,4] => [6,5,2,7,8,4,3,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[5,1,7,4,8,2,6,3] => [5,8,6,7,1,2,4,3] => [8,5,7,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,4,8,6,3,2] => [1,3,6,8,5,7,2,4] => [1,6,3,5,8,7,4,2] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,1,7,4,8,6,2,3] => [5,6,2,8,1,7,3,4] => [8,6,1,5,4,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,8,1,5,2,4] => [8,5,7,2,1,6,3,4] => [5,7,6,2,4,8,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,7,8,3,1,4,2,5] => [3,8,4,2,1,6,7,5] => [6,3,4,1,2,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,6,7,8,4,5,3,2] => [1,3,5,8,4,6,7,2] => [1,6,3,5,2,7,8,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[6,1,7,8,4,2,5,3] => [6,4,8,5,3,1,7,2] => [5,7,4,6,1,3,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[6,7,2,8,1,3,5,4] => [8,7,1,5,3,6,2,4] => [5,6,2,7,3,8,4,1] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[6,7,2,8,3,1,5,4] => [3,8,7,5,2,6,1,4] => [6,3,5,7,2,8,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[5,2,7,1,8,4,6,3] => [7,5,6,8,2,4,1,3] => [6,8,7,5,3,1,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,2,1,7,8,5,6,3] => [2,4,6,1,8,5,7,3] => [7,2,4,3,6,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,1,2,7,8,6,5,3] => [4,1,5,2,6,8,7,3] => [7,1,4,3,5,6,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,7,1,2,8,6,3,4] => [7,1,6,3,5,8,2,4] => [5,1,7,2,8,6,4,3] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,1,7,8,2,5,4,3] => [6,8,4,5,2,1,7,3] => [5,4,7,6,2,3,8,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[6,7,1,8,2,5,3,4] => [7,8,5,3,2,6,1,4] => [6,5,7,1,3,8,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[6,7,8,2,4,3,1,5] => [3,4,8,1,2,6,7,5] => [6,4,3,2,1,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,6,7,8,5,3,4,2] => [1,4,5,3,8,6,7,2] => [1,6,4,2,5,7,8,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[6,3,4,5,8,7,2,1] => [2,7,6,3,4,5,8,1] => [6,2,8,1,3,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,8,1,4,7,2,3,6] => [8,7,2,1,5,3,4,6] => [5,7,1,3,8,4,6,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,6,1,4,8,7,3,2] => [6,3,7,1,5,4,8,2] => [5,6,3,2,8,1,7,4] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[3,4,7,1,8,6,5,2] => [7,5,3,4,6,8,1,2] => [3,4,5,8,7,6,2,1] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[6,3,8,4,2,7,1,5] => [7,4,8,6,1,2,3,5] => [6,8,4,7,3,5,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,3,8,5,6,7,2,1] => [2,7,4,3,8,5,6,1] => [4,2,8,1,7,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,8,1,7,6,2,4,3] => [8,6,4,2,5,7,1,3] => [4,5,6,2,8,7,3,1] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[4,6,1,2,7,8,5,3] => [6,1,5,4,8,2,7,3] => [4,1,6,7,5,3,8,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[6,5,2,7,4,8,1,3] => [8,5,1,6,7,4,2,3] => [5,8,2,7,6,1,4,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,7,1,4,8,3,2,6] => [7,3,8,1,5,2,4,6] => [5,7,3,2,8,4,6,1] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[7,8,3,5,1,4,6,2] => [5,6,8,1,3,4,7,2] => [7,6,5,3,2,1,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,8,1,4,6,7,2,3] => [8,7,2,1,5,4,6,3] => [5,7,1,3,8,2,4,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[6,5,8,4,3,7,2,1] => [2,7,4,8,6,5,3,1] => [6,2,7,4,8,1,3,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[3,8,6,7,1,4,5,2] => [7,5,3,1,4,8,6,2] => [3,5,8,2,1,7,4,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,8,7,4,1,2,6] => [4,1,7,5,2,3,8,6] => [8,1,4,5,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,1,2,5,7,4] => [6,1,8,7,2,3,5,4] => [8,1,6,7,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,8,7,3,2,4] => [6,3,7,2,5,1,8,4] => [5,6,3,1,8,4,7,2] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[5,4,2,7,3,6,8,1] => [8,4,5,7,3,2,6,1] => [4,8,7,5,1,2,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,4,2,8,1] => [8,4,6,5,7,2,3,1] => [4,8,5,7,6,2,1,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,2,6,4,7,3,1] => [3,7,5,8,6,4,1,2] => [8,3,6,5,7,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,3,4,7,5,1] => [5,7,8,1,6,3,4,2] => [8,6,5,3,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,3,5,4,8,1] => [8,7,6,5,3,2,4,1] => [5,6,7,8,2,3,1,4] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[5,7,3,6,4,2,8,1] => [8,4,6,7,5,2,3,1] => [4,7,6,5,8,2,1,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[3,7,6,4,5,2,8,1] => [8,5,3,6,4,7,2,1] => [3,5,8,6,1,7,2,4] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[2,7,6,5,3,4,8,1] => [8,2,5,3,6,7,4,1] => [2,5,8,1,6,7,3,4] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,5,4,3,1,8,2,7] => [3,4,5,6,8,2,1,7] => [8,6,3,4,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,2,7,3,1] => [3,7,4,5,6,8,1,2] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,7,2,6,3] => [4,5,8,7,6,1,3,2] => [8,6,4,5,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,2,8,3,4,7] => [1,5,6,2,8,3,4,7] => [1,8,6,3,5,4,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,2,1,8,3,6] => [2,4,7,8,5,1,3,6] => [7,2,5,4,8,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,6,5,3,4,8,2,7] => [1,8,5,3,6,4,2,7] => [1,5,8,2,6,3,4,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,6,3,1,8,2,7] => [3,6,8,5,4,2,1,7] => [6,5,3,8,1,2,4,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,5,8,4,2,7,3,1] => [3,7,4,8,6,5,1,2] => [7,3,6,4,8,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,8,6,2,5,7,4,1] => [4,7,3,6,1,8,5,2] => [4,3,8,7,2,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,8,5,3,2,6,4,1] => [4,3,6,5,8,1,7,2] => [4,7,3,6,5,2,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[6,8,3,1,7,2,5,4] => [3,8,7,5,1,6,2,4] => [6,3,5,7,4,8,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,8,6,3,7,5,2,4] => [1,5,7,3,6,8,2,4] => [1,8,5,2,7,6,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,5,2,6,4,3,1] => [3,4,6,5,7,2,8,1] => [8,4,3,6,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,2,5,4,3] => [7,6,4,5,2,1,8,3] => [4,5,8,6,2,3,7,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,8,1,3,7,2,6,5] => [8,7,1,4,6,2,3,5] => [4,6,2,7,8,5,3,1] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[5,1,7,6,8,3,2,4] => [5,3,8,2,1,7,6,4] => [5,7,3,1,4,8,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[3,7,1,5,8,4,2,6] => [7,4,3,8,1,2,5,6] => [3,7,8,4,2,5,6,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[6,7,3,1,8,4,2,5] => [3,7,4,8,1,6,2,5] => [7,3,6,4,2,8,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,7,3,8,4,5,2,6] => [1,5,7,8,4,2,3,6] => [1,8,7,5,2,4,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,8,5,3,4,6] => [1,7,5,3,8,4,2,6] => [1,7,8,2,5,3,6,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,6,1,8,4,3,2,5] => [6,3,4,7,1,8,2,5] => [3,8,7,4,2,6,5,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,1,7,4,2,5,3] => [6,4,8,5,1,7,3,2] => [5,8,4,6,3,7,1,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,2,7,3,4,6,5] => [8,1,7,3,6,4,2,5] => [6,1,7,2,8,4,5,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,1,2,8,3,5,4,6] => [7,1,8,5,3,4,2,6] => [7,1,5,8,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,6,1,8,4,3,5] => [6,7,4,8,3,2,1,5] => [7,6,8,4,1,3,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,3,1,4,7,5,6,2] => [3,8,6,2,7,5,4,1] => [8,3,6,1,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,5,8,4,2,6] => [3,7,4,8,2,1,5,6] => [8,3,7,4,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,7,1,8,3,6] => [7,4,5,8,3,2,1,6] => [5,8,7,4,1,2,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,5,4,8,2,7,3,1] => [3,7,8,5,6,4,1,2] => [6,5,3,8,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,5,1,8,7,4,2,3] => [5,4,1,6,7,2,8,3] => [6,8,2,4,5,3,7,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,4,7,5,3,2,1] => [2,3,5,7,6,8,1,4] => [8,2,3,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,3,7,6,2,4] => [5,6,7,3,1,8,2,4] => [8,7,5,1,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,1,7,2,6,3] => [8,7,6,5,4,2,1,3] => [5,6,7,8,1,3,4,2] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[3,6,8,2,4,7,5,1] => [5,7,3,1,8,6,4,2] => [6,3,7,2,5,8,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[5,7,3,8,2,6,4,1] => [4,6,8,7,5,3,1,2] => [7,6,4,5,8,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,4,6,8,2,7,3,1] => [3,7,8,5,4,6,1,2] => [6,5,3,7,1,8,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,7,2,8,6,3,5,1] => [5,7,6,4,3,8,2,1] => [7,4,5,8,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,3,8,7,4,5,6,1] => [6,2,3,7,4,5,8,1] => [2,3,8,6,1,4,7,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[7,2,8,6,4,3,5,1] => [5,7,4,6,3,8,2,1] => [7,4,8,5,1,6,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,1,8,7,5,6,3,4] => [2,1,6,3,7,5,8,4] => [2,1,8,3,6,4,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,1,7,6,5,2,4,3] => [8,5,4,2,6,7,1,3] => [4,5,8,2,6,7,3,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,1,8,6,5,3,2,4] => [7,3,5,2,6,8,1,4] => [3,8,5,1,7,6,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,7,6,3,4,5] => [1,2,6,3,4,7,8,5] => [1,2,8,3,4,6,7,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,6,8,7,4,2,3] => [5,4,2,7,1,6,8,3] => [5,6,1,4,3,8,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[3,8,7,6,4,5,2,1] => [2,5,3,6,4,7,8,1] => [3,2,8,5,1,6,7,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,8,7,6,5,3,4,1] => [4,2,5,3,6,7,8,1] => [2,8,4,1,5,6,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,6,5,4,2,3] => [1,4,2,5,6,7,8,3] => [1,8,2,4,5,6,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,6,7,3,4,1,2] => [4,1,7,3,5,8,6,2] => [5,1,4,2,8,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,8,6,7,3,5,1,2] => [5,1,7,4,3,8,6,2] => [5,1,4,8,2,7,3,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,8,6,7,4,5,2,3] => [1,5,2,7,4,8,6,3] => [1,8,2,5,3,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,7,4,6,2,3] => [1,6,2,7,8,4,5,3] => [1,8,2,7,6,4,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,5,7,3,6,1,2] => [6,1,7,4,8,3,5,2] => [7,1,4,8,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,3,7,4,6,1,2] => [6,1,8,7,5,4,3,2] => [7,1,5,6,8,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,7,4,8,5,6,1,2] => [6,1,3,7,8,5,4,2] => [3,1,8,7,6,2,4,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,7,3,8,5,6,1,2] => [6,1,7,4,8,5,3,2] => [7,1,4,8,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,1,8,5,6,2,3] => [7,6,2,4,8,5,1,3] => [4,7,1,8,6,2,5,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[2,7,4,8,5,6,1,3] => [6,2,1,7,8,5,4,3] => [2,8,1,7,6,3,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,2,7,4,6,1,3] => [6,8,1,7,5,4,2,3] => [7,5,2,6,8,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,2,7,4,5,1,3] => [5,8,1,7,4,6,2,3] => [7,5,2,6,1,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,1,7,4,5,2,3] => [8,5,2,7,4,6,1,3] => [5,7,1,6,2,8,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[2,8,5,6,1,7,3,4] => [6,2,7,3,8,5,1,4] => [2,8,7,1,6,3,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,6,2,7,3,4] => [1,6,7,3,8,5,2,4] => [1,8,7,2,6,3,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,8,4,6,2,5] => [1,6,7,8,2,4,3,5] => [1,8,7,6,4,3,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,1,7,3,6,2,5] => [8,6,7,4,2,3,1,5] => [4,7,6,8,2,3,5,1] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[5,8,1,7,3,6,2,4] => [8,6,7,2,5,3,1,4] => [5,7,6,2,8,3,4,1] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,8,2,7,3,6,1,4] => [6,8,7,1,5,3,2,4] => [7,5,6,3,8,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,7,3,8,4,6,1,5] => [6,2,7,8,1,4,3,5] => [2,8,7,6,4,3,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,8,4,6,2,5] => [7,6,3,8,2,4,1,5] => [3,7,8,6,2,4,5,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,8,4,7,3,6,2,5] => [1,6,7,8,2,3,4,5] => [1,8,7,6,4,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,7,3,6,1,5] => [6,2,7,8,1,3,4,5] => [2,8,7,6,4,5,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,7,3,6,1,4] => [6,2,7,1,8,3,5,4] => [2,8,7,3,6,5,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,6,7,3,5,2,4] => [1,5,7,2,3,8,6,4] => [1,8,5,3,4,7,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,6,7,3,5,1,4] => [5,2,7,1,3,8,6,4] => [2,8,5,3,4,7,1,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,5,7,1,4,2,3] => [7,4,2,1,8,6,5,3] => [4,7,1,3,6,8,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[5,8,6,7,1,4,2,3] => [7,4,2,1,5,8,6,3] => [4,5,1,3,8,7,2,6] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[2,6,1,8,5,7,3,4] => [6,2,7,3,8,1,5,4] => [2,8,7,1,6,5,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,8,5,7,3,4] => [1,6,7,3,8,2,5,4] => [1,8,7,2,6,5,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,5,7,1,6,2,4] => [7,6,3,2,8,1,5,4] => [3,7,8,1,6,5,2,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[6,8,3,7,1,5,2,4] => [7,5,8,2,1,6,3,4] => [6,7,5,2,4,8,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,6,2,8,4,7,3,5] => [1,6,7,8,3,2,4,5] => [1,8,7,6,3,5,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,1,6,2,7,3,4] => [8,6,7,3,5,1,2,4] => [5,7,6,1,8,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[7,8,1,5,2,6,3,4] => [8,5,6,3,1,2,7,4] => [5,7,6,1,4,3,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[7,8,2,5,1,6,3,4] => [5,8,6,3,2,1,7,4] => [7,5,6,1,3,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,8,2,5,1,7,3,4] => [5,8,7,3,2,6,1,4] => [7,5,6,1,3,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,8,2,6,1,7,3,4] => [6,8,7,3,5,2,1,4] => [7,5,6,1,8,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,7,3,6,2,8,4,5] => [1,6,7,8,4,3,2,5] => [1,8,7,6,2,4,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,6,1,8,4,5] => [6,2,7,8,4,3,1,5] => [2,8,7,6,1,4,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,7,8,6] => [1,2,3,4,5,7,8,9,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5] => [1,2,3,4,6,7,8,9,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4] => [1,2,3,5,6,7,8,9,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3] => [1,2,4,5,6,7,8,9,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2] => [1,3,4,5,6,7,8,9,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,8,9,6,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,8,9,7] => [1,2,3,4,5,6,8,9,10,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,4,7,6,8,9,5] => [1,2,3,4,9,7,6,8,5] => [1,2,3,4,7,8,5,9,6] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,7,8,9,6] => [1,2,3,4,5,7,8,9,10,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,6,7,8,9,5] => [1,2,3,4,6,7,8,9,10,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,5,6,7,8,9,4] => [1,2,3,5,6,7,8,9,10,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,2,4,5,6,7,8,9,10,3] => [1,2,10,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,9,10,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1] => [3,4,1,5,6,7,8,9,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,9,10,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,7,4,8,3,5,1,2] => [5,1,8,7,3,6,4,2] => [7,1,5,6,3,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,4,5,2,8,1,3] => [8,5,1,7,4,6,2,3] => [5,7,2,6,1,8,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[5,7,4,6,2,3,1,8] => [3,6,2,7,5,4,1,8] => [6,3,1,5,7,2,4,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[5,7,4,6,3,8,1,2] => [8,1,6,7,5,4,3,2] => [5,1,7,6,8,2,3,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,8,4,5,3,7,1,2] => [7,1,5,8,4,6,3,2] => [6,1,7,5,2,8,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[5,8,4,6,3,7,1,2] => [7,1,6,8,5,4,3,2] => [6,1,7,5,8,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,6,4,8,3,7,1,2] => [7,1,8,6,5,4,3,2] => [6,1,5,7,8,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[5,6,3,7,2,8,1,4] => [8,7,6,1,5,3,2,4] => [5,6,7,3,8,2,4,1] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[5,6,3,8,2,7,1,4] => [7,8,6,1,5,3,2,4] => [6,5,7,3,8,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,8,4,6,2,7,1,3] => [7,6,1,8,5,4,2,3] => [6,7,2,5,8,1,4,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[6,8,4,5,2,3,1,7] => [3,5,2,8,4,6,1,7] => [6,3,1,5,2,8,4,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,6,4,8,2,3,1,7] => [3,8,2,6,5,4,1,7] => [5,3,1,6,8,2,4,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[4,6,3,5,2,7,1,8] => [7,5,6,4,3,2,1,8] => [4,6,5,7,1,2,3,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[7,8,3,5,2,6,1,4] => [6,5,8,1,3,2,7,4] => [6,7,5,3,2,4,8,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,8,3,6,2,7,1,5] => [7,6,8,4,1,3,2,5] => [6,7,4,8,3,2,5,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[4,6,3,8,2,7,1,5] => [7,8,6,4,1,3,2,5] => [6,4,7,8,3,2,5,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[5,7,4,8,2,6,1,3] => [6,8,1,7,5,2,4,3] => [7,5,2,6,8,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,7,3,6,2,8,1,4] => [8,6,7,1,5,3,2,4] => [5,7,6,3,8,2,4,1] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,7,3,6,2,4,1,8] => [4,6,7,2,5,3,1,8] => [6,5,4,2,7,1,3,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[6,7,3,5,2,4,1,8] => [4,5,7,2,3,6,1,8] => [6,5,4,2,1,7,3,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[6,7,5,8,2,4,1,3] => [4,8,1,2,7,6,5,3] => [6,4,2,3,7,8,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,7,4,8,2,3,1,5] => [3,8,2,7,1,6,4,5] => [6,3,1,7,4,8,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,7,3,8,2,4,1,5] => [4,8,7,2,1,6,3,5] => [7,4,6,2,3,8,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,8,3,7,2,5,1,6] => [5,7,8,4,2,1,3,6] => [7,5,4,8,2,3,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,3,5,2,6,1,8] => [6,5,7,4,3,2,1,8] => [5,6,4,7,1,2,3,8] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[4,5,3,7,2,6,1,8] => [6,7,5,4,3,2,1,8] => [5,4,6,7,1,2,3,8] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[4,5,3,8,2,7,1,6] => [7,8,5,4,3,1,2,6] => [5,4,7,8,1,3,6,2] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,5,3,6,2,8,1,7] => [8,6,5,4,3,2,1,7] => [4,5,6,8,1,2,3,7] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[4,7,5,2,1,8,3,6] => [2,5,7,4,8,1,3,6] => [7,2,4,8,5,3,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,8,5,2,1,7,6,3] => [2,5,8,4,6,7,3,1] => [5,2,4,8,6,7,1,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,6,5,2,1,3,8,7] => [2,5,1,4,6,3,8,7] => [4,2,1,6,5,3,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[5,6,4,2,3,1,8,7] => [3,4,2,6,5,1,8,7] => [5,3,1,4,6,2,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[5,4,6,1,3,2,8,7] => [6,3,1,5,4,2,8,7] => [3,5,2,6,1,4,8,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[4,6,8,1,7,3,2,5] => [8,3,7,4,2,6,1,5] => [3,6,4,7,1,8,5,2] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[4,7,8,1,6,3,5,2] => [8,5,6,4,3,1,7,2] => [4,6,5,7,1,3,8,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[7,4,8,1,6,5,3,2] => [8,3,5,6,7,1,2,4] => [3,8,5,7,6,4,2,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,8,1,3,7,6,2] => [8,6,1,5,4,7,3,2] => [5,6,2,8,1,7,3,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[8,4,5,3,1,7,6,2] => [3,5,6,7,1,8,2,4] => [8,7,3,5,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,1,3,8,2,6] => [7,8,1,5,4,2,3,6] => [7,5,2,8,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,8,1,7,5,2,3] => [8,5,2,7,6,3,1,4] => [5,8,1,6,7,3,4,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,6,8,7,2,1,3,4] => [2,7,1,3,5,6,8,4] => [5,2,1,3,6,8,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[8,4,6,3,7,2,1,5] => [2,7,6,8,1,4,3,5] => [7,2,8,6,4,3,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,2,8,7,4,1,5] => [4,3,7,6,2,1,8,5] => [4,8,3,6,1,5,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,8,7,4,3,5] => [2,1,4,7,3,6,8,5] => [2,1,6,4,3,8,7,5] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[2,1,7,8,6,4,5,3] => [2,1,5,6,4,8,7,3] => [2,1,7,5,3,6,8,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[7,3,2,8,6,4,5,1] => [5,3,7,6,4,8,2,1] => [5,8,3,7,1,6,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,6,8,5,2,4,3,1] => [3,4,5,1,8,7,6,2] => [7,4,3,2,5,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,7,8,6,2,3,1,4] => [3,6,2,1,5,8,7,4] => [5,3,1,2,7,6,8,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[5,8,7,6,3,2,1,4] => [2,3,6,1,5,7,8,4] => [5,2,3,1,8,6,7,4] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,8,7,5,3,2,4,1] => [4,3,5,2,7,6,8,1] => [4,6,3,1,5,8,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[5,8,4,2,3,7,6,1] => [6,4,1,7,5,8,3,2] => [5,7,2,4,8,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[4,8,7,2,6,3,5,1] => [5,7,6,4,3,2,8,1] => [6,4,5,8,1,2,7,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,6,2,7,3,1,5] => [3,7,6,4,2,8,1,5] => [7,3,4,8,1,6,5,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,8,1,6,7,5,2,4] => [8,5,3,2,7,1,6,4] => [3,5,8,1,7,4,2,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,7,1,6,8,2,5,4] => [7,8,3,5,2,1,6,4] => [5,3,7,8,2,4,1,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,7,6,2,8,1,3,5] => [8,6,1,4,3,7,2,5] => [4,6,2,8,1,7,5,3] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[6,7,4,2,8,1,5,3] => [8,4,7,5,1,6,3,2] => [4,7,5,6,3,8,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[2,1,8,6,7,5,3,4] => [2,1,5,3,7,8,6,4] => [2,1,8,3,5,7,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,6,4,3,7,5,1,2] => [5,1,4,7,6,8,2,3] => [5,1,8,4,7,6,3,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,8,6,7,3,1,2,4] => [3,1,7,2,5,8,6,4] => [5,1,3,2,8,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,7,5,8,1,3,4,2] => [8,4,1,3,7,6,5,2] => [4,6,2,1,7,8,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[7,6,5,8,1,4,3,2] => [8,3,4,1,6,7,5,2] => [3,6,4,2,8,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[8,6,5,7,4,1,3,2] => [4,3,1,7,6,8,5,2] => [3,7,2,4,8,6,1,5] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[7,6,4,3,8,1,5,2] => [8,5,4,6,1,7,3,2] => [4,6,8,5,3,7,1,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,3,2,6,8,1,5,4] => [8,3,7,5,1,2,6,4] => [3,7,5,8,4,2,1,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[2,1,7,6,8,3,5,4] => [2,1,8,5,3,7,6,4] => [2,1,5,7,4,8,3,6] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[7,5,6,8,1,4,2,3] => [8,4,2,1,7,5,6,3] => [4,7,1,3,8,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,5,7,8,1,2,4,3] => [8,1,4,2,6,5,7,3] => [4,1,6,3,7,2,8,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[8,1,3,7,4,6,5,2] => [8,5,1,6,7,2,3,4] => [5,8,2,7,6,4,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,4,8,3,1] => [3,8,6,5,7,1,4,2] => [7,3,5,8,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,1,5,4,3,8,7,2] => [6,7,4,5,1,3,8,2] => [5,4,8,6,3,1,7,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,1,5,3,4,8,6,2] => [7,6,5,3,1,8,4,2] => [5,7,8,1,4,6,2,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,1,4,3,5,6,8,2] => [7,8,4,1,3,5,6,2] => [7,4,8,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,3,4,5,6,7,2] => [8,7,1,3,4,5,6,2] => [7,8,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,7,2,4,5,6,3,8] => [1,7,6,2,4,5,3,8] => [1,6,7,3,2,4,5,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[8,4,7,2,5,6,1,3] => [6,7,1,8,2,5,4,3] => [8,7,2,6,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,1,4,3,7,6] => [2,5,4,1,8,7,3,6] => [4,2,7,3,5,8,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[5,6,2,1,4,8,3,7] => [2,6,8,1,5,4,3,7] => [6,2,5,3,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,6,1,8,5,2,4,7] => [6,5,3,2,8,1,4,7] => [3,6,8,1,5,4,2,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,2,6,3,5,4,7,8] => [1,2,6,5,3,4,7,8] => [1,2,5,6,4,3,7,8] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[5,8,1,6,3,2,4,7] => [8,3,6,2,5,1,4,7] => [3,6,5,1,8,4,2,7] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[3,8,2,6,1,5,7,4] => [6,8,3,7,1,2,5,4] => [6,3,8,7,4,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,5,6,4,2,1,7,3] => [2,4,6,7,8,5,3,1] => [8,2,7,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,8,3,1,6,4] => [3,8,7,6,1,2,5,4] => [7,3,6,8,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,1,3,8,6,4,5] => [2,7,1,6,4,8,3,5] => [7,2,1,8,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,5,7,3,2,4,6,8] => [1,3,7,2,5,4,6,8] => [1,5,3,2,7,4,6,8] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[5,2,7,3,1,8,4,6] => [3,7,5,8,1,4,2,6] => [8,3,7,5,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,4,1,3,7,6] => [4,8,1,2,5,7,3,6] => [5,4,2,3,7,8,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[4,8,1,6,3,2,7,5] => [8,3,6,4,7,1,2,5] => [3,6,4,8,7,5,2,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[3,1,8,6,4,2,7,5] => [3,4,1,6,8,7,5,2] => [8,3,2,4,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,7,2,4,1,6] => [4,7,3,2,5,1,8,6] => [4,3,5,1,8,2,7,6] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[4,2,1,3,7,8,5,6] => [2,4,1,3,8,5,7,6] => [4,2,1,3,7,5,8,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[2,4,1,3,8,7,5,6] => [4,2,1,3,7,5,8,6] => [2,4,1,3,8,5,7,6] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[2,5,8,3,1,7,4,6] => [3,2,8,7,5,4,1,6] => [2,5,3,7,8,1,6,4] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[6,8,2,3,4,1,5,7] => [4,8,2,3,1,6,5,7] => [6,4,1,2,3,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,1,8,3,2,4,6,7] => [5,3,8,2,1,4,6,7] => [5,8,3,1,4,2,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,8,1] => [8,2,3,4,5,6,7,9,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[8,7,9,6,5,4,3,2,1] => [2,3,4,5,6,9,8,7,1] => [8,2,3,4,5,6,9,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[9,10,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,10,9,1] => [9,2,3,4,5,6,7,8,10,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[9,8,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,9,8,1] => [9,2,3,4,5,6,7,10,1,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,4,2,7,8,6,3,5] => [1,4,6,2,3,8,7,5] => [1,7,4,3,2,6,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,7,3,8,5,2,4,6] => [1,5,8,3,7,4,2,6] => [1,8,5,2,7,3,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,2,8,6,4,5] => [1,3,7,6,4,8,2,5] => [1,7,3,8,2,6,5,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,3,1,8,5,6,4] => [3,7,2,6,8,5,1,4] => [7,3,1,8,6,2,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,5,1,7,3,4,6] => [5,8,7,3,2,4,1,6] => [8,5,7,1,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,8,3,4,7,5] => [2,6,8,3,7,1,4,5] => [8,2,6,1,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,3,5,1,7,4] => [5,6,8,7,3,2,1,4] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,4,8,5,7,2] => [1,7,3,6,8,4,5,2] => [1,3,7,8,6,4,2,5] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,3,6,4,7,5,8,2] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[6,2,4,7,5,8,1,3] => [8,6,1,2,7,4,5,3] => [6,8,2,3,7,4,1,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,2,1,3,7,8,4,5] => [2,6,1,8,4,3,7,5] => [7,2,1,6,3,5,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,5,4,2,6,8,1,3] => [8,4,1,5,7,2,6,3] => [4,8,2,5,7,3,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,3,4,6,8,2] => [1,8,5,3,7,4,6,2] => [1,5,8,2,7,3,4,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,2,5,4,6,7,1,3] => [7,8,1,5,2,4,6,3] => [7,5,2,8,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,6,4,3,1,7,5] => [3,4,6,8,7,2,1,5] => [8,6,3,4,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,4,3,5,6,7] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,4,2,3,5,6,8] => [1,4,2,7,3,5,6,8] => [1,7,2,4,3,5,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,8,4,1,3,2,5,7] => [4,3,1,8,2,6,5,7] => [3,6,2,4,1,8,5,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[5,1,8,3,2,6,4,7] => [5,3,8,6,1,2,4,7] => [5,8,3,6,4,2,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,4,6,2,8,3,7,5] => [1,6,8,4,7,2,3,5] => [1,6,4,8,7,5,3,2] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,1,6,7,2,4,8] => [3,5,7,1,2,6,4,8] => [6,5,3,2,4,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[6,3,4,1,2,5,8,7] => [4,1,6,3,2,5,8,7] => [6,1,4,2,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,3,1,4,2,7,5,8] => [3,6,4,2,7,1,5,8] => [7,3,4,1,6,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,8,3,2,4,5,6,7] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,3,2,4,1,7,5] => [4,3,6,2,8,7,5,1] => [4,8,3,1,6,7,2,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,3,2,6,7,1,4] => [7,3,5,1,8,2,6,4] => [3,8,7,2,5,4,1,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,6,7,8,1,3] => [8,4,1,2,5,6,7,3] => [4,5,2,3,6,7,8,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[7,2,3,1,4,5,8,6] => [3,7,2,1,4,8,5,6] => [8,3,1,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,2,8,7,3,6] => [4,5,7,1,2,3,8,6] => [8,5,4,3,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,6,4,5,3,7] => [8,1,5,6,4,2,3,7] => [5,1,8,6,2,4,3,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,1,2,6,5,4,3,7] => [8,1,4,5,6,2,3,7] => [4,1,8,5,6,3,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,1,4,8,2,7,3,6] => [5,8,7,1,4,3,2,6] => [8,5,7,3,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,8,2,7,3,5] => [1,8,7,4,3,6,2,5] => [1,4,6,7,2,8,5,3] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,4,2,8,6,7,3,5] => [1,4,7,2,3,8,6,5] => [1,8,4,3,2,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,6,4,8,7,5] => [3,1,2,6,7,4,8,5] => [3,1,2,8,6,5,7,4] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,1,2,7,4,6,8,5] => [3,1,2,7,8,4,6,5] => [3,1,2,8,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,6,8,5,7,4] => [1,2,3,7,8,6,5,4] => [1,2,3,7,6,8,4,5] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[5,1,4,2,7,8,3,6] => [5,4,8,1,2,3,7,6] => [5,7,4,3,2,1,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,4,2,6,8,7,3,5] => [1,4,7,2,3,6,8,5] => [1,6,4,3,2,8,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[3,1,2,7,6,4,8,5] => [3,1,2,6,7,8,5,4] => [3,1,2,8,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,8,7,3,4,2,5,6] => [1,4,7,3,2,5,8,6] => [1,8,4,2,3,5,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,8,2,6,4,5] => [3,8,1,6,4,2,7,5] => [6,3,2,7,1,5,8,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,4,2,7,8,3,6,5] => [1,4,8,2,6,3,7,5] => [1,6,4,3,7,5,8,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,4,2,6,8,3,7,5] => [1,4,8,2,7,6,3,5] => [1,6,4,3,7,8,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,2,3,7,8,5,6,4] => [1,2,3,6,8,5,7,4] => [1,2,3,7,6,4,8,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,3,7,5,8,6,4] => [1,2,3,6,8,7,4,5] => [1,2,3,8,6,7,5,4] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[3,1,7,2,8,6,4,5] => [3,7,1,6,4,8,2,5] => [7,3,2,8,1,6,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,1,7,8,3,4,6,5] => [2,1,8,3,6,4,7,5] => [2,1,6,3,7,5,8,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,2,3,8,7,5,6,4] => [1,2,3,6,7,5,8,4] => [1,2,3,8,6,4,7,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,10,8] => [10,1,2,3,4,5,6,7,9,8] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[2,9,10,1,3,4,5,6,7,8] => [10,2,1,3,4,5,6,7,9,8] => [2,9,1,3,4,5,6,7,10,8] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[5,7,8,4,2,6,1,3] => [6,4,1,8,5,2,7,3] => [5,6,2,4,7,3,8,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[8,6,3,7,2,1,5,4] => [2,7,6,5,1,8,3,4] => [5,2,7,8,4,6,3,1] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[5,7,8,3,2,1,6,4] => [2,3,8,6,5,1,7,4] => [5,2,3,6,7,4,8,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[3,7,8,4,2,5,1,6] => [5,4,3,8,2,1,7,6] => [3,5,7,4,1,2,8,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[4,7,8,3,2,1,5,6] => [2,3,8,4,1,5,7,6] => [4,2,3,7,1,5,8,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[5,6,3,8,2,1,4,7] => [2,8,6,1,5,3,4,7] => [5,2,6,3,8,4,1,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[3,6,4,8,2,5,1,7] => [5,8,3,6,2,4,1,7] => [5,3,8,6,2,1,4,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,6,4,7,3,5,8,1] => [8,2,7,6,3,4,5,1] => [2,6,7,8,3,4,1,5] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[3,6,4,7,2,5,1,8] => [5,7,3,6,2,4,1,8] => [5,3,7,6,2,1,4,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[8,4,3,2,1,6,5,7] => [2,3,4,8,6,1,5,7] => [6,2,3,4,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,4,3,2,1,7,5,8] => [2,3,4,6,7,1,5,8] => [7,2,3,4,6,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,5,3,2,7,1,6,8] => [7,3,5,4,2,1,6,8] => [3,5,4,7,1,2,6,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[8,4,3,2,1,7,5,6] => [2,3,4,8,7,5,1,6] => [7,2,3,4,8,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,4,3,2,1,7,6,5] => [2,3,4,8,6,7,1,5] => [6,2,3,4,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,4,3,2,1,8,6,5] => [2,3,4,7,6,8,1,5] => [7,2,3,4,8,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,3,8,2,1,7,4] => [2,8,6,7,5,3,1,4] => [5,2,7,6,8,3,4,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[7,5,3,2,8,1,6,4] => [8,3,5,7,6,1,4,2] => [3,8,5,6,7,4,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,8,7,1,3] => [7,4,1,5,6,2,8,3] => [4,8,2,5,6,3,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,7,8,1,3] => [8,4,1,5,6,2,7,3] => [4,7,2,5,6,3,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[8,5,4,2,6,7,1,3] => [7,4,1,5,8,2,6,3] => [4,8,2,7,5,3,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,3,2,6,1,7,4] => [6,3,5,8,7,4,1,2] => [3,8,7,5,6,1,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,7,2,1,8,5] => [2,7,6,4,8,3,1,5] => [4,2,7,8,6,3,5,1] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[3,6,4,7,2,8,1,5] => [8,7,3,6,1,4,2,5] => [3,6,7,8,4,2,5,1] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[2,6,4,7,3,8,5,1] => [5,2,8,7,6,1,4,3] => [2,8,5,6,7,4,1,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,1,6,8,5] => [2,3,4,7,8,1,6,5] => [8,2,3,4,7,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,2,1,6,7,5] => [2,3,4,8,7,1,6,5] => [7,2,3,4,8,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,4,3,2,1,5,7,6] => [2,3,4,8,1,7,5,6] => [7,2,3,4,1,8,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,5,4,2,6,8,1,7] => [8,4,3,5,2,6,1,7] => [3,4,6,5,1,8,2,7] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[5,6,3,4,1,2,8,7] => [4,1,6,3,5,2,8,7] => [5,1,4,2,6,3,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[8,5,3,7,2,6,4,1] => [4,6,7,5,8,3,1,2] => [8,6,4,7,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,2,6,3,1] => [3,6,4,7,8,1,5,2] => [8,3,7,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,4,2,6,1,3] => [6,4,1,8,7,2,5,3] => [6,8,2,4,7,5,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,1,7,8,5,6,3,4] => [2,1,6,3,8,5,7,4] => [2,1,7,3,6,4,8,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[6,8,3,7,5,1,4,2] => [5,4,7,3,8,6,1,2] => [6,7,4,1,5,8,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[3,2,6,4,8,5,1,7] => [5,3,2,8,6,1,4,7] => [3,8,1,5,6,4,2,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,8,4,6,1,7] => [6,3,2,8,5,4,1,7] => [3,6,1,5,8,2,4,7] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[3,5,2,4,1,7,6,8] => [4,5,3,2,1,7,6,8] => [4,3,5,1,2,7,6,8] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[4,2,1,5,7,3,6,8] => [2,4,7,1,5,3,6,8] => [5,2,4,3,7,1,6,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[4,5,2,3,7,1,6,8] => [7,5,2,4,3,1,6,8] => [4,5,1,7,2,3,6,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[4,2,5,3,8,1,6,7] => [8,4,5,2,3,1,6,7] => [4,8,5,2,1,3,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,8,3,2,6,7] => [4,3,8,1,5,2,6,7] => [4,5,3,2,8,1,6,7] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[4,3,8,5,2,1,6,7] => [2,5,4,3,8,1,6,7] => [4,2,8,1,5,3,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,7,3,5,2,1,6,8] => [2,5,7,4,3,1,6,8] => [5,2,4,7,1,3,6,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[4,6,7,1,3,2,5,8] => [7,3,1,4,2,6,5,8] => [3,4,2,6,1,7,5,8] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[4,5,1,7,3,2,6,8] => [5,3,7,4,1,2,6,8] => [4,5,3,7,2,1,6,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[3,5,1,4,2,7,6,8] => [5,4,3,1,2,7,6,8] => [3,4,5,2,1,7,6,8] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[2,5,1,4,3,7,8,6] => [5,2,4,1,3,8,7,6] => [2,4,5,3,1,7,8,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[5,2,1,4,3,7,8,6] => [2,5,4,1,3,8,7,6] => [4,2,5,3,1,7,8,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[5,3,1,4,2,7,6,8] => [3,5,4,2,1,7,6,8] => [5,3,4,1,2,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[4,3,6,1,5,2,7,8] => [6,5,4,3,1,2,7,8] => [4,5,6,1,3,2,7,8] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[5,3,6,4,1,2,7,8] => [4,1,6,5,2,3,7,8] => [6,1,4,5,3,2,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[4,3,6,1,7,2,5,8] => [6,7,4,3,2,1,5,8] => [6,4,7,1,2,5,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[6,3,4,1,2,7,5,8] => [4,1,6,3,7,2,5,8] => [7,1,4,2,6,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,6,3,1,7,2,5,8] => [3,6,7,4,1,2,5,8] => [6,4,3,7,2,5,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[5,3,6,2,1,4,7,8] => [2,6,5,1,3,4,7,8] => [5,2,6,3,4,1,7,8] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[4,5,2,7,3,1,6,8] => [3,7,5,4,1,2,6,8] => [5,3,4,7,2,1,6,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[4,6,7,2,3,1,5,8] => [3,7,2,4,1,6,5,8] => [4,3,1,6,2,7,5,8] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[3,6,7,2,4,5,1,8] => [5,7,3,2,4,6,1,8] => [5,3,6,1,2,7,4,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[3,5,2,7,4,6,1,8] => [6,5,3,7,2,4,1,8] => [3,6,7,5,2,1,4,8] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[7,2,1,4,6,3,8,5] => [2,7,6,1,8,4,3,5] => [7,2,8,3,6,4,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,1,4,6,8,2,5] => [3,7,8,2,1,4,6,5] => [8,7,3,1,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,1,5,7,4,8] => [6,3,2,7,1,5,4,8] => [3,7,1,6,4,2,5,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[3,6,2,1,5,7,4,8] => [2,6,3,7,1,5,4,8] => [3,2,7,6,4,1,5,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[6,4,2,1,5,3,7,8] => [2,4,6,5,3,1,7,8] => [6,2,4,5,1,3,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,2,6,4,1,3,7,8] => [4,6,2,5,1,3,7,8] => [6,4,1,5,3,2,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[4,6,5,1,7,2,3,8] => [5,6,1,4,7,2,3,8] => [6,4,2,7,5,3,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[6,5,2,1,4,7,8,3] => [2,5,6,3,8,4,7,1] => [7,2,6,1,5,3,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,5,3,1,4,7,2,8] => [3,5,6,1,7,4,2,8] => [7,6,3,2,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,4,1,5,8,3,7,6] => [4,2,8,1,5,7,3,6] => [2,5,4,3,7,8,6,1] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[2,4,1,5,3,8,7,6] => [4,2,5,1,3,7,8,6] => [2,5,4,3,1,8,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[3,4,5,1,2,8,7,6] => [5,1,3,4,2,7,8,6] => [3,1,4,5,2,8,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,8,4,5,3,2,7,6] => [1,3,5,8,4,7,2,6] => [1,7,3,5,2,8,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,5,6,2,7,1,4,8] => [7,6,3,1,5,2,4,8] => [3,5,6,2,7,4,1,8] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[3,5,6,2,7,1,8,4] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[3,4,6,2,8,7,1,5] => [7,6,3,4,1,2,8,5] => [3,4,6,8,2,5,7,1] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[3,4,6,8,2,7,1,5] => [7,8,3,4,1,6,2,5] => [4,3,6,7,2,8,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,8,4,6,3,7,5,2] => [1,5,7,6,8,2,4,3] => [1,8,6,7,5,4,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,2,7,8,4,1] => [4,8,3,6,5,1,7,2] => [4,3,6,5,7,2,8,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[3,5,6,2,7,4,1,8] => [4,7,3,6,5,1,2,8] => [4,3,6,5,7,2,1,8] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[4,5,6,7,2,8,3,1] => [3,8,7,4,5,6,1,2] => [5,3,4,6,7,8,2,1] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[3,5,6,8,7,2,4,1] => [4,7,3,2,5,6,8,1] => [4,3,5,1,6,8,7,2] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[2,5,8,6,7,3,4,1] => [4,2,7,3,5,8,6,1] => [2,5,4,1,8,7,3,6] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[3,5,6,8,7,2,1,4] => [2,7,3,1,5,6,8,4] => [3,2,5,1,6,8,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[3,4,6,1,8,7,2,5] => [6,7,3,4,2,1,8,5] => [4,3,6,8,1,5,7,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,8,3,2,6,7,5,4] => [1,3,8,5,7,2,6,4] => [1,5,3,8,7,4,2,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,5,1,6,7,8,4,3] => [5,2,4,8,1,6,7,3] => [2,5,6,4,3,7,8,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[2,5,1,6,7,4,8,3] => [5,2,8,7,1,6,4,3] => [2,7,5,6,4,8,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,5,6,1,7,4,2,8] => [6,4,3,7,5,1,2,8] => [3,5,6,4,7,2,1,8] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[3,5,6,1,7,4,8,2] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[2,5,8,6,7,1,4,3] => [7,2,4,1,5,8,6,3] => [2,4,5,3,8,7,1,6] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[4,5,6,7,8,1,3,2] => [8,3,1,4,5,6,7,2] => [3,4,2,5,6,7,8,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[4,5,6,7,1,3,8,2] => [7,8,1,4,5,6,3,2] => [5,4,2,6,7,8,1,3] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[4,5,6,7,1,3,2,8] => [7,3,1,4,5,6,2,8] => [3,4,2,5,6,7,1,8] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[3,5,6,8,7,4,1,2] => [4,1,3,7,5,6,8,2] => [3,1,5,4,6,8,7,2] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[8,2,5,3,7,1,6,4] => [7,8,5,6,2,1,3,4] => [6,5,8,7,3,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,4,3,7,1,6,5] => [7,8,4,2,6,1,3,5] => [6,4,7,2,8,5,3,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,8,2,4,3,7,1,6] => [7,8,4,2,5,1,3,6] => [5,4,7,2,8,3,6,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[4,2,5,6,1,8,3,7] => [6,4,8,2,5,1,3,7] => [5,6,4,2,8,3,1,7] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[4,2,5,6,1,7,3,8] => [6,4,7,2,5,1,3,8] => [5,6,4,2,7,3,1,8] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[6,1,5,7,3,2,4,8] => [6,3,7,2,1,5,4,8] => [6,7,3,1,4,2,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[6,1,5,8,3,2,4,7] => [6,3,8,2,1,5,4,7] => [6,8,3,1,4,2,5,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,8,2,4,7,1,5,6] => [7,8,3,2,1,5,4,6] => [7,3,8,1,4,2,6,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,8,2,4,7,1,5] => [7,8,3,2,1,6,4,5] => [6,3,7,1,4,8,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[4,3,5,6,7,1,8,2] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[3,7,1,5,6,8,2,4] => [7,8,3,2,1,5,6,4] => [7,3,8,1,4,2,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,7,1,5,8,2,4,6] => [7,8,3,2,1,4,5,6] => [7,3,8,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,3,2,4,6,1,5,7] => [6,3,8,2,1,4,5,7] => [6,8,3,1,4,5,2,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,3,2,4,6,1,5,8] => [6,3,7,2,1,4,5,8] => [6,7,3,1,4,5,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[3,2,5,1,7,4,6,8] => [5,3,2,7,1,4,6,8] => [3,7,1,5,4,2,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[3,2,5,1,8,4,6,7] => [5,3,2,8,1,4,6,7] => [3,8,1,5,4,2,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,7,8,4,6] => [5,3,2,8,1,4,7,6] => [3,7,1,5,4,2,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[7,8,3,2,4,6,1,5] => [6,3,8,2,1,4,7,5] => [6,7,3,1,4,5,8,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[6,1,5,7,8,3,2,4] => [6,3,8,2,1,5,7,4] => [6,7,3,1,4,2,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,2,5,6,1,7,8,3] => [6,4,8,2,5,1,7,3] => [5,6,4,2,7,3,8,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[5,7,6,1,8,3,4,2] => [6,4,7,1,5,8,3,2] => [5,7,4,3,8,6,1,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,8,6,1,7,3,4,2] => [6,4,8,1,5,7,3,2] => [5,6,4,3,8,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[6,1,5,8,7,3,2,4] => [6,3,7,2,1,5,8,4] => [6,8,3,1,4,2,7,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,3,2,4,6,1,5] => [6,3,7,2,1,4,8,5] => [6,8,3,1,4,5,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,2,5,1,8,7,4,6] => [5,3,2,7,1,4,8,6] => [3,8,1,5,4,2,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,6,4,7,8] => [5,3,2,6,1,4,7,8] => [3,6,1,5,4,2,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[3,2,4,1,8,7,5,6] => [4,3,2,1,7,5,8,6] => [3,4,1,2,8,5,7,6] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,5,1,6,8,7,4] => [5,3,2,7,1,6,8,4] => [3,6,1,5,4,8,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[3,8,6,5,1,7,4,2] => [5,4,3,6,8,7,1,2] => [3,6,8,4,5,7,2,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,7,6,5,1,8,4,2] => [5,4,3,6,7,8,1,2] => [3,7,8,4,5,6,2,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,1,7,8,4,2,3] => [5,4,1,6,8,2,7,3] => [6,7,2,4,5,3,8,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[3,2,5,1,6,7,8,4] => [5,3,2,8,1,6,7,4] => [3,6,1,5,4,7,8,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[3,2,4,1,8,5,6,7] => [4,3,2,1,8,5,6,7] => [3,4,1,2,8,5,6,7] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,4,1,7,5,6,8] => [4,3,2,1,7,5,6,8] => [3,4,1,2,7,5,6,8] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[3,2,4,1,6,8,5,7] => [4,3,2,1,8,6,5,7] => [3,4,1,2,6,8,5,7] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[3,2,4,1,8,5,7,6] => [4,3,2,1,8,7,5,6] => [3,4,1,2,7,8,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[8,3,2,4,7,6,1,5] => [6,3,7,1,2,8,4,5] => [7,8,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,2,5,1,8,4,7,6] => [5,3,2,8,1,7,4,6] => [3,7,1,5,4,8,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[3,2,5,1,6,7,4,8] => [5,3,2,7,1,6,4,8] => [3,6,1,5,4,7,2,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[6,5,1,7,4,2,3,8] => [5,4,1,6,7,2,3,8] => [6,7,2,4,5,3,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[4,2,6,1,8,3,7,5] => [6,4,8,2,7,1,3,5] => [6,8,4,2,7,5,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,2,6,1,8,3,7,4] => [6,5,8,7,2,1,3,4] => [7,8,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,4,6,1,7,3,5,2] => [6,5,7,8,3,4,1,2] => [7,8,6,5,2,1,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,2,6,1,8,4,7,3] => [6,5,7,8,2,1,4,3] => [7,8,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,2,3,8,5,1,6] => [5,4,1,8,7,2,3,6] => [5,8,2,4,7,3,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,7,6,4,8] => [5,3,2,6,1,7,4,8] => [3,7,1,5,4,6,2,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[3,2,5,1,8,6,4,7] => [5,3,2,6,1,8,4,7] => [3,8,1,5,4,6,2,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,4,8,6,1,5] => [6,3,8,1,2,7,4,5] => [6,8,3,2,4,7,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,1,5,7,3,2,4] => [6,3,8,1,2,7,5,4] => [6,8,3,2,4,7,1,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,2,6,1,8,5,7,3] => [6,4,7,2,8,1,5,3] => [7,8,4,2,6,5,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,6,1,7,3,4,2] => [6,4,7,3,8,5,1,2] => [7,8,4,1,6,2,5,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,6,8,5,1,7,4,2] => [5,4,3,8,7,6,2,1] => [3,5,7,4,6,8,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[8,5,1,6,7,4,2,3] => [5,4,1,8,7,2,6,3] => [5,8,2,4,7,3,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,8,6,7,4] => [5,3,2,7,1,8,6,4] => [3,8,1,5,4,7,2,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,1,8,6,5,7] => [4,3,2,1,6,8,5,7] => [3,4,1,2,8,6,5,7] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[3,2,4,1,5,8,6,7] => [4,3,2,1,5,8,6,7] => [3,4,1,2,5,8,6,7] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[3,2,5,1,7,8,6,4] => [5,3,2,6,1,8,7,4] => [3,7,1,5,4,6,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[8,7,5,1,6,4,2,3] => [5,4,1,7,6,2,8,3] => [5,8,2,4,6,3,7,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,8,7,6,4] => [5,3,2,6,1,7,8,4] => [3,8,1,5,4,6,7,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,4,1,6,3,8] => [4,2,7,6,5,3,1,8] => [2,6,4,5,7,1,3,8] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,3,7,5,1,8,6,2] => [5,7,4,3,6,8,2,1] => [5,4,8,1,7,6,2,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,4,8,3,6,1,7,2] => [6,7,8,5,4,3,1,2] => [7,6,5,8,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,4,3,6,7,1,8,2] => [7,8,4,5,3,6,1,2] => [5,4,7,6,1,8,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[2,5,4,6,8,1,7,3] => [8,2,7,5,4,6,1,3] => [2,5,6,7,1,8,4,3] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[2,4,1,7,5,8,6,3] => [4,2,6,1,8,7,3,5] => [2,8,4,3,6,7,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,7,5,3,8,6] => [4,2,5,1,7,8,3,6] => [2,8,4,3,5,7,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,1,8,5,3,7] => [4,2,6,5,8,3,1,7] => [2,8,4,6,5,1,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,6,1,8,4,7] => [6,3,2,8,5,1,4,7] => [3,6,1,5,8,4,2,7] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[3,2,1,6,8,5,4,7] => [2,3,1,5,8,6,4,7] => [3,2,1,6,5,8,4,7] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[3,2,7,1,5,4,8,6] => [7,3,2,5,1,8,4,6] => [3,5,1,8,4,7,6,2] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[3,2,7,1,5,8,6,4] => [7,3,2,6,1,8,5,4] => [3,7,1,8,4,6,2,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[3,8,2,5,1,6,7,4] => [5,8,3,7,2,1,6,4] => [5,3,8,7,2,4,1,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,8,3,2,6,7,1,5] => [7,3,8,4,1,2,6,5] => [4,7,3,8,2,5,1,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,3,2,6,7,1,5,8] => [7,3,4,2,1,6,5,8] => [3,6,4,1,2,7,5,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[3,2,5,7,8,1,6,4] => [8,3,2,6,5,1,7,4] => [3,5,1,6,7,4,8,2] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[3,2,5,7,1,6,8,4] => [7,3,2,8,5,1,6,4] => [3,7,1,5,8,4,2,6] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[3,2,5,7,1,6,4,8] => [7,3,2,6,5,1,4,8] => [3,5,1,6,7,4,2,8] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[6,3,2,7,1,5,8,4] => [7,3,6,8,1,2,5,4] => [3,8,7,6,4,5,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,1,7,8,5,3] => [6,4,5,2,8,1,7,3] => [4,7,6,2,5,3,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[2,1,7,5,3,8,6,4] => [2,1,5,7,6,8,4,3] => [2,1,8,5,7,6,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,2,7,1,4,8,5] => [7,3,6,1,8,2,4,5] => [3,8,7,2,6,5,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,1,7,8,4,6] => [2,5,3,8,1,4,7,6] => [3,2,7,5,4,1,8,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[4,6,2,1,8,3,7,5] => [2,6,8,4,7,1,3,5] => [6,2,4,8,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,3,7,2,8,1,5,6] => [8,7,4,3,1,5,2,6] => [4,7,8,1,3,2,6,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[6,3,2,8,1,4,7,5] => [8,3,6,1,7,2,4,5] => [3,8,6,2,7,5,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,4,7,5,8,6] => [2,3,1,4,7,8,5,6] => [3,2,1,4,8,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[4,8,3,2,1,5,6,7] => [2,3,8,4,1,5,6,7] => [4,2,3,8,1,5,6,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,3,8,2,1,5,6,7] => [2,8,4,3,1,5,6,7] => [4,2,8,1,3,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[6,2,3,1,5,4,8,7] => [3,6,2,5,1,4,8,7] => [5,3,1,6,4,2,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[8,4,5,2,3,1,7,6] => [3,5,2,8,4,7,1,6] => [7,3,1,5,2,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,6,7,2,5,3,4,1] => [4,7,5,3,2,8,6,1] => [8,4,5,1,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,3,4,1,7,6] => [4,8,5,3,2,7,1,6] => [7,4,5,1,2,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,2,5,3,4,1,8,7] => [4,6,5,3,2,1,8,7] => [6,4,5,1,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,1,5,2,4,3,8,7] => [6,5,4,2,1,3,8,7] => [4,5,6,2,3,1,8,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[6,4,5,1,3,2,8,7] => [5,3,1,6,4,2,8,7] => [3,6,2,5,1,4,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[6,1,5,3,4,2,8,7] => [6,4,5,3,1,2,8,7] => [4,6,5,1,3,2,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[6,3,5,1,4,2,8,7] => [5,4,6,1,3,2,8,7] => [5,6,4,3,1,2,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[8,3,5,2,4,1,7,6] => [4,5,8,2,3,7,1,6] => [7,5,4,2,1,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,3,7,2,4,1,6,5] => [4,7,8,2,6,1,3,5] => [7,6,4,2,8,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,3,5,1,4,2,7,6] => [5,4,8,1,3,7,2,6] => [5,7,4,3,1,8,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[8,1,5,3,4,2,7,6] => [8,4,5,3,1,7,2,6] => [4,7,5,1,3,8,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[8,4,5,1,3,2,7,6] => [5,3,1,8,4,7,2,6] => [3,7,2,5,1,8,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[2,1,8,4,5,3,7,6] => [2,1,5,8,4,7,3,6] => [2,1,7,5,3,8,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[8,6,7,4,5,1,3,2] => [5,3,1,7,4,8,6,2] => [3,8,2,5,1,7,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,7,1,5,3,4,2] => [7,4,5,3,1,8,6,2] => [4,8,5,1,3,7,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,7,3,5,1,4,2] => [5,4,7,1,3,8,6,2] => [5,8,4,3,1,7,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,3,7,5,6,1,4,2] => [6,4,8,1,7,5,3,2] => [6,8,4,3,7,1,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,5,7,3,6,1,4,2] => [6,4,7,1,8,3,5,2] => [7,8,4,3,6,2,1,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,7,4,6,2,5,1] => [5,6,8,7,2,4,3,1] => [8,7,5,6,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,4,6,1,5,2] => [6,5,8,7,1,4,3,2] => [7,8,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,7,1,6,4,5,2] => [7,5,8,6,4,1,3,2] => [6,8,5,7,1,4,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,7,3,6,4,5,2] => [8,5,7,6,4,3,1,2] => [5,8,6,7,1,2,4,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,7,5,6,3,4,2] => [8,4,6,3,7,5,1,2] => [4,8,6,1,7,2,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,4,7,5,6,1,3,2] => [6,3,1,8,7,5,4,2] => [3,8,2,6,7,1,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,8,4,7,5,6,3] => [2,1,6,8,7,5,4,3] => [2,1,8,6,7,3,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,1,7,3,4,2,6,5] => [8,4,7,3,6,2,1,5] => [4,7,6,1,8,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,1,7,3,6,2,5,4] => [8,6,7,5,2,3,1,4] => [5,7,6,8,3,2,4,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[8,3,7,1,6,2,5,4] => [7,6,8,5,2,1,3,4] => [6,7,5,8,3,4,2,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,3,7,2,6,4,5,1] => [5,7,8,6,4,2,3,1] => [8,6,5,7,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,3,6,4,5,1] => [5,8,7,6,4,3,2,1] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,3,6,1,5,4] => [6,8,7,5,1,3,2,4] => [7,5,6,8,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,1,7,2,4,3,6,5] => [8,7,4,2,6,3,1,5] => [4,6,7,2,8,3,5,1] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[8,1,3,2,7,4,6,5] => [8,3,1,7,6,4,2,5] => [3,6,2,7,8,4,5,1] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[2,1,8,3,7,4,6,5] => [2,1,8,7,6,4,3,5] => [2,1,6,7,8,4,5,3] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[8,1,5,2,4,3,7,6] => [8,5,4,2,1,7,3,6] => [4,5,7,2,3,8,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[8,2,7,1,4,3,6,5] => [7,8,4,1,6,3,2,5] => [6,4,7,3,8,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,2,7,3,4,1,6,5] => [4,8,7,3,6,1,2,5] => [7,4,6,1,8,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,2,7,5,6,3,4,1] => [4,8,6,3,7,5,2,1] => [8,4,6,1,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,5,6,2,3,1] => [3,6,2,8,7,5,4,1] => [8,3,1,6,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,2,3,1,6,5] => [3,7,2,8,6,1,4,5] => [7,3,1,6,8,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,2,3,1,7,4,6,5] => [3,8,2,7,6,4,1,5] => [6,3,1,7,8,4,5,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[8,2,3,1,5,4,7,6] => [3,8,2,5,1,7,4,6] => [5,3,1,7,4,8,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,2,3,1,8,5,7,6] => [3,4,2,1,8,7,5,6] => [4,3,1,2,7,8,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[4,1,3,2,8,6,7,5] => [4,3,1,2,7,8,6,5] => [3,4,2,1,8,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[8,6,7,2,3,1,5,4] => [3,7,2,5,1,8,6,4] => [5,3,1,8,4,7,2,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,2,3,1,7,5,6,4] => [3,8,2,6,7,5,1,4] => [6,3,1,8,7,2,5,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,5,7,2,6,1,4,3] => [6,7,4,1,8,2,5,3] => [7,4,8,3,6,5,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,7,5,6,1,4,3] => [6,8,4,1,7,5,2,3] => [6,4,8,3,7,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,6,7,2,5,1,4,3] => [5,7,4,1,2,8,6,3] => [5,4,8,3,2,7,1,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,6,7,1,5,2,4,3] => [7,5,4,2,1,8,6,3] => [4,5,8,2,3,7,1,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,6,7,1,3,2,5,4] => [7,3,1,5,2,8,6,4] => [3,5,2,8,4,7,1,6] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[2,1,8,6,7,3,5,4] => [2,1,7,5,3,8,6,4] => [2,1,5,8,4,7,3,6] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,8,3,7,5,6,4] => [2,1,8,6,7,5,3,4] => [2,1,6,8,7,3,5,4] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[8,1,3,2,7,5,6,4] => [8,3,1,6,7,5,2,4] => [3,6,2,8,7,1,5,4] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[8,1,7,5,6,2,4,3] => [8,6,4,2,7,5,1,3] => [4,6,8,2,7,1,5,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[8,1,7,2,6,4,5,3] => [8,7,5,6,4,2,1,3] => [5,6,8,7,1,3,4,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[8,2,7,1,6,4,5,3] => [7,8,5,6,4,1,2,3] => [6,5,8,7,1,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,7,4,6,1,5,3] => [6,8,5,7,1,4,2,3] => [7,5,8,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,7,4,6,3,5,1] => [5,8,6,7,3,4,2,1] => [8,5,7,6,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,2,6,3,5,1] => [5,7,6,8,3,2,4,1] => [8,6,7,5,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,2,6,1,5,3] => [6,7,5,8,1,2,4,3] => [7,6,8,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,7,1,6,2,5,3] => [7,6,5,8,2,1,4,3] => [6,7,8,5,3,4,1,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,1,7,4,6,2,5,3] => [8,6,5,7,2,4,1,3] => [5,7,8,6,3,1,4,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[2,1,8,5,7,3,6,4] => [2,1,7,6,8,3,5,4] => [2,1,7,8,6,5,3,4] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[8,5,7,4,6,1,3,2] => [6,3,1,7,8,4,5,2] => [3,8,2,7,6,4,1,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,7,4,6,3,5,2] => [8,5,6,7,3,4,1,2] => [5,8,7,6,2,1,4,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,4,7,1,6,3,5,2] => [7,5,6,8,3,1,4,2] => [6,8,7,5,2,4,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,7,3,6,1,5,2] => [6,5,7,8,1,3,4,2] => [7,8,6,5,4,2,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,5,8,1,3,2,7,4] => [8,3,1,7,6,5,2,4] => [3,6,2,7,8,1,5,4] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[6,5,8,7,3,1,2,4] => [3,1,7,2,6,5,8,4] => [6,1,3,2,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,6,2,8,4,5,7,1] => [7,6,3,8,4,2,5,1] => [3,7,8,6,1,4,2,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,6,1,8,4,5,7,3] => [6,2,7,8,4,1,5,3] => [2,8,7,6,1,5,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,6,1,5,7,3] => [6,2,7,8,1,4,5,3] => [2,8,7,6,4,3,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,8,4,5,7,2] => [3,6,7,8,4,2,5,1] => [8,7,3,6,1,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,8,2,4,6,3] => [1,8,6,2,5,4,7,3] => [1,5,6,3,7,2,8,4] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[3,6,7,8,4,2,5,1] => [5,4,3,8,2,6,7,1] => [3,5,6,4,1,7,8,2] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[3,2,7,8,4,6,5,1] => [5,3,2,6,8,1,7,4] => [3,7,1,6,5,4,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[4,2,1,3,8,5,6,7] => [2,4,1,3,8,5,6,7] => [4,2,1,3,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[7,2,5,8,3,4,6,1] => [6,7,8,3,2,4,5,1] => [8,7,6,1,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,5,4,1,6,7] => [4,2,5,8,1,3,6,7] => [2,8,5,4,3,1,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,8,2,4,6,1] => [6,8,7,2,3,4,5,1] => [8,6,7,2,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,8,5,6,7] => [3,1,4,2,8,5,6,7] => [4,1,3,2,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[3,4,2,1,8,5,6,7] => [2,4,3,1,8,5,6,7] => [3,2,4,1,8,5,6,7] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[3,7,5,8,1,4,6,2] => [8,6,3,1,7,4,5,2] => [3,6,8,2,7,4,1,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,7,5,8,3,4,6,2] => [1,6,8,3,7,4,5,2] => [1,8,6,2,7,4,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,8,5,4,3,2,7] => [1,3,4,5,8,6,2,7] => [1,6,3,4,5,8,2,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[4,6,8,5,1,3,2,7] => [5,3,1,4,8,6,2,7] => [3,4,2,6,5,8,1,7] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[7,5,8,6,3,4,2,1] => [2,4,6,3,8,7,1,5] => [8,2,4,1,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,5,6,2,7] => [4,6,8,1,3,5,2,7] => [8,6,4,3,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,1,5,3,2,7] => [8,3,5,4,1,6,2,7] => [3,5,4,6,2,8,1,7] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[3,7,1,8,5,4,6,2] => [7,6,3,5,8,4,1,2] => [3,6,7,8,5,1,4,2] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[2,7,3,8,4,6,5,1] => [5,2,6,7,8,1,4,3] => [2,8,7,6,5,4,1,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,8,4,6,5,2] => [7,5,1,6,8,2,3,4] => [6,8,2,7,5,4,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,7,8,4,3,6,1,2] => [6,1,4,8,5,3,7,2] => [5,1,6,4,7,2,8,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[2,8,7,4,1,6,5,3] => [4,2,7,5,6,3,8,1] => [2,8,4,5,6,1,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,4,3,1,6,7] => [3,2,4,5,8,1,6,7] => [2,8,3,4,5,1,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,2,8,5,6,7] => [4,3,1,2,8,5,6,7] => [3,4,2,1,8,5,6,7] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,4,3,2,8,5,6,7] => [1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[7,3,2,8,5,4,6,1] => [6,3,7,5,8,4,2,1] => [6,7,3,8,5,1,2,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[2,8,3,4,5,1,6,7] => [5,2,8,3,4,1,6,7] => [2,8,5,1,3,4,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,8,4,5,3,1,7] => [3,5,6,8,4,1,2,7] => [8,6,3,5,1,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,8,5,4,6,1] => [6,7,2,5,8,4,3,1] => [7,6,1,8,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,2,3,1,8,5,6,7] => [3,4,2,1,8,5,6,7] => [4,3,1,2,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[3,2,1,4,8,5,6,7] => [2,3,1,4,8,5,6,7] => [3,2,1,4,8,5,6,7] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[2,8,1,5,3,4,7,6] => [8,2,5,3,1,7,4,6] => [2,5,7,1,4,8,6,3] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,2,8,4,5,3,7,6] => [1,2,5,8,4,7,3,6] => [1,2,7,5,3,8,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,8,4,2,5,3,6,7] => [1,4,8,5,3,2,6,7] => [1,8,4,5,2,3,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,5,3,2,4,6,7] => [8,3,5,2,1,4,6,7] => [3,8,5,1,4,2,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,8,2,6,7] => [5,8,3,1,4,2,6,7] => [5,3,8,2,1,4,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,5,2,8,4,3,6,7] => [1,5,4,8,2,3,6,7] => [1,5,8,4,3,2,6,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,2,8,5,4,3,6,7] => [1,2,4,5,8,3,6,7] => [1,2,8,4,5,3,6,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,4,3,8,6,7] => [1,2,4,5,3,8,6,7] => [1,2,5,4,3,8,6,7] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,2,4,8,5,3,7,6] => [1,2,5,4,8,7,3,6] => [1,2,4,7,5,8,6,3] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,7,4,8,5,3,6] => [1,2,5,8,7,4,3,6] => [1,2,8,5,7,3,6,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,3,5,1,4,7,2,6] => [5,7,8,1,3,2,4,6] => [8,7,5,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,5,4,7,3,6] => [8,2,7,5,1,3,4,6] => [2,5,7,8,4,3,6,1] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,2,4,8,7,5,3,6] => [1,2,5,4,7,3,8,6] => [1,2,4,8,5,3,7,6] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,8,1,4,3,7,6,5] => [8,2,4,1,6,7,3,5] => [2,4,6,3,8,7,5,1] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[6,4,1,2,8,7,3,5] => [4,1,6,7,2,3,8,5] => [8,1,6,4,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,4,2,8,3,5] => [6,4,7,3,1,8,2,5] => [7,8,4,1,3,6,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,6,2,8,4,3,5] => [7,6,4,8,3,1,2,5] => [6,7,8,4,1,5,3,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,6,7,2,8,4,3,5] => [1,7,4,8,3,6,2,5] => [1,6,7,4,2,8,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[6,7,1,4,2,8,3,5] => [7,4,8,1,3,6,2,5] => [6,7,4,3,1,8,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,3,7,1,4,8,2,5] => [7,8,6,1,2,3,4,5] => [7,6,8,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,7,8,1,5,2,4,6] => [8,5,3,2,1,4,7,6] => [3,5,7,1,4,2,8,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[7,1,2,8,5,3,4,6] => [7,1,5,3,8,4,2,6] => [7,1,8,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,4,2,7,8,5,3,6] => [1,4,5,2,8,3,7,6] => [1,7,4,3,5,2,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,1,2,8,4,3,7,5] => [6,1,4,8,7,2,3,5] => [6,1,8,4,7,5,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,4,1,2,8,3,7,5] => [4,1,6,8,7,3,2,5] => [8,1,6,4,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,3,2,4,8,5] => [6,3,1,2,7,8,5,4] => [3,8,2,1,7,6,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,3,5,8,4,6] => [1,2,7,8,3,4,5,6] => [1,2,8,7,4,5,6,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,5,8,3,4,6] => [1,2,8,3,7,4,5,6] => [1,2,7,3,8,5,6,4] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[5,8,1,3,7,2,4,6] => [8,7,1,2,5,4,3,6] => [5,7,2,3,8,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,2,5,8,7,3,4,6] => [1,2,7,3,5,4,8,6] => [1,2,5,3,8,4,7,6] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,2,5,8,3,7,4,6] => [1,2,8,7,5,4,3,6] => [1,2,5,7,8,3,6,4] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[2,8,1,7,3,5,4,6] => [8,2,7,5,3,4,1,6] => [2,5,7,8,3,1,6,4] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[4,2,8,1,7,3,6,5] => [8,4,7,2,6,3,1,5] => [4,7,6,2,8,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[2,8,1,7,4,3,6,5] => [8,2,4,7,6,3,1,5] => [2,4,7,6,8,3,5,1] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[7,1,2,8,4,3,6,5] => [7,1,4,8,6,3,2,5] => [6,1,7,4,8,3,5,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,2,8,4,7,5,3,6] => [1,2,5,7,8,4,3,6] => [1,2,8,7,5,3,6,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,8,1,7,5,3,4,6] => [8,2,5,3,7,4,1,6] => [2,5,8,1,7,3,6,4] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,3,7,1,5,2,4,6] => [7,5,8,2,1,4,3,6] => [7,8,5,2,4,1,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,8,6,1,4,7,2,5] => [6,8,3,2,1,7,4,5] => [6,3,8,1,4,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,6,1,4,2,7,3,5] => [6,4,8,3,1,7,2,5] => [6,8,4,1,3,7,5,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,2,8,6,4,3,5] => [7,1,4,6,3,8,2,5] => [4,1,8,7,2,6,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,4,1,2,8,6,3,5] => [4,1,7,6,2,8,3,5] => [8,1,4,7,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,4,8,1,6,2,5] => [8,6,3,7,2,1,4,5] => [3,6,8,7,2,5,4,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[2,8,1,7,6,4,3,5] => [8,2,4,6,3,7,1,5] => [2,4,8,6,1,7,5,3] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,8,3,4,1,5,2,6] => [4,5,8,3,1,2,7,6] => [7,5,4,1,3,2,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,3,4,1,6,2,5] => [4,6,8,3,2,1,7,5] => [7,6,4,1,2,5,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,8,3,4,1,7,2,6] => [4,7,8,3,5,2,1,6] => [7,5,4,1,8,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,6,2,8,3,5,1,7] => [5,6,8,4,3,2,1,7] => [6,5,4,8,1,2,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,7,3,5,1,8,2,6] => [5,8,7,4,3,2,1,6] => [7,4,5,8,1,2,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,6,2,4,1,8,3,7] => [4,6,8,2,5,1,3,7] => [6,5,4,2,8,3,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,6,2,4,1,7,3,8] => [4,6,7,2,5,1,3,8] => [6,5,4,2,7,3,1,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[4,5,1,8,3,7,2,6] => [5,7,8,4,1,2,3,6] => [7,5,4,8,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,5,1,7,3,8,2,6] => [5,8,7,4,1,2,3,6] => [7,4,5,8,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,6,2,7,4,8,1,3] => [8,6,1,7,5,2,4,3] => [5,7,2,6,8,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,6,2,8,3,7,1,4] => [7,6,8,1,5,2,3,4] => [6,7,5,3,8,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[4,6,2,8,3,7,1,5] => [7,6,8,4,1,2,3,5] => [6,7,4,8,3,5,2,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8] => [9,2,1,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[10,2,1,3,4,5,6,7,8,9] => [2,10,1,3,4,5,6,7,8,9] => [10,2,1,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,2,3,1,4,5,6,7,8] => [3,9,2,1,4,5,6,7,8] => [9,3,1,2,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[4,2,3,5,6,7,8,9,1] => [9,4,2,3,5,6,7,8,1] => [4,5,1,2,6,7,8,9,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,4,2,5,6,7,8,9,1] => [9,4,3,2,5,6,7,8,1] => [3,4,5,1,6,7,8,9,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1] => [3,4,1,5,6,7,8,9,10,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,10,11,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,5,3,2,1,4,8,7] => [2,3,5,1,6,4,8,7] => [6,2,3,1,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,6,3,5,2,1,8,7] => [2,5,6,4,3,1,8,7] => [5,2,4,6,1,3,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[8,7,3,5,2,4,1,6] => [4,5,7,2,3,1,8,6] => [8,5,4,2,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,4,5,7,3,1] => [3,7,8,1,4,6,5,2] => [7,6,3,2,1,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,7,2,4,5,3,1,6] => [3,5,7,1,4,2,8,6] => [8,5,3,2,1,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,4,5,2,8,7] => [6,5,3,1,4,2,8,7] => [3,5,6,2,1,4,8,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[8,3,7,4,5,2,1,6] => [2,5,8,7,4,1,3,6] => [8,2,5,7,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,4,5,7,2,1] => [2,7,6,8,4,3,5,1] => [7,2,8,6,1,4,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,8,7,4,3,6,2,1] => [2,6,4,7,5,3,8,1] => [5,2,6,4,8,1,7,3] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[2,8,7,4,3,6,1,5] => [6,2,4,7,1,3,8,5] => [2,6,8,4,3,5,7,1] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,1,7,4,3,6,2,5] => [8,6,4,7,2,3,1,5] => [4,7,8,6,2,3,5,1] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[2,1,6,8,5,7,4,3] => [2,1,4,7,8,6,5,3] => [2,1,7,4,6,8,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[4,3,8,1,5,6,7,2] => [8,7,4,3,1,5,6,2] => [4,7,8,1,3,2,5,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[4,8,1,3,5,6,7,2] => [8,7,1,4,3,5,6,2] => [4,7,2,8,1,3,5,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[5,8,7,4,1,6,3,2] => [4,3,7,6,5,2,8,1] => [4,6,3,5,8,1,7,2] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[4,8,3,6,1,2,7,5] => [6,1,8,4,7,3,2,5] => [6,1,4,8,7,3,5,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,8,1,2,5,6,7,4] => [8,1,3,7,2,5,6,4] => [3,1,7,8,4,2,5,6] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[8,7,1,4,2,6,3,5] => [7,4,6,1,3,2,8,5] => [4,8,6,3,1,5,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,3,1,2,4,7,5] => [3,1,6,2,8,7,5,4] => [8,1,3,2,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,4,5,1,3,6] => [5,2,1,7,4,3,8,6] => [2,8,1,5,3,4,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,2,4,1,6,3,5] => [4,7,6,2,3,1,8,5] => [8,4,6,2,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,2,1,4,7,5] => [2,3,6,1,8,7,5,4] => [8,2,3,1,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,2,1,4,6] => [2,5,7,1,3,4,8,6] => [8,2,5,3,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,6,2,1,7,4] => [2,6,8,7,5,3,1,4] => [7,2,5,6,8,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,7,4,2,6,1,3] => [6,4,1,7,5,2,8,3] => [5,6,2,4,8,3,7,1] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[2,6,8,4,5,7,1,3] => [7,2,1,8,4,6,5,3] => [2,7,1,6,3,8,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,1,8,4,5,7,2,3] => [6,7,2,8,4,1,5,3] => [8,7,1,6,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,8,3,6,7,4] => [2,1,8,7,5,3,6,4] => [2,1,5,7,8,4,3,6] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[4,1,8,2,5,6,7,3] => [4,8,7,1,2,5,6,3] => [8,4,7,3,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,1,5,6,7,3] => [8,2,7,4,1,5,6,3] => [2,4,7,8,3,1,5,6] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,4,8,2,5,6,7,1] => [7,8,3,4,2,5,6,1] => [4,3,7,8,1,2,5,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[4,5,3,8,6,1,7,2] => [6,8,5,4,3,7,2,1] => [5,4,6,8,1,7,2,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[3,4,1,8,5,6,7,2] => [4,7,3,1,8,5,6,2] => [4,3,8,2,7,1,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[2,4,6,8,10,1,3,5,7,9] => [10,2,1,4,3,6,5,8,7,9] => [2,4,1,6,3,8,5,10,7,9] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[3,5,7,9,10,1,2,4,6,8] => [10,1,3,2,5,4,7,6,9,8] => [3,1,5,2,7,4,9,6,10,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[3,5,7,9,11,12,1,2,4,6,8,10] => [12,1,3,2,5,4,7,6,9,8,11,10] => [3,1,5,2,7,4,9,6,11,8,12,10] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[4,5,7,6,2,3,8,1] => [8,6,2,4,5,7,3,1] => [4,5,1,6,8,7,2,3] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[3,5,7,2,6,4,8,1] => [8,7,3,6,5,2,4,1] => [3,5,6,7,8,2,1,4] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[2,5,7,3,6,4,8,1] => [8,2,7,6,5,3,4,1] => [2,5,6,7,8,3,1,4] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,5,7,3,6,8,4,2] => [1,4,8,7,5,2,6,3] => [1,7,4,5,8,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[8,4,3,7,6,1,5,2] => [6,5,4,7,3,8,1,2] => [5,7,8,4,1,6,3,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[5,2,7,3,6,4,8,1] => [8,5,7,6,2,3,4,1] => [5,8,6,7,3,2,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,3,4,7,6,1,5,2] => [6,5,7,1,3,8,4,2] => [7,8,5,3,2,6,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,7,3,6,8,4,2] => [5,4,8,7,1,2,6,3] => [7,8,4,5,3,2,1,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,3,7,6,1,5,2] => [6,5,7,4,3,8,1,2] => [5,7,4,8,1,6,3,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[2,8,4,7,1,6,5,3] => [7,2,5,6,8,1,3,4] => [2,6,8,7,5,4,3,1] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,1,3,2,7,6,5,4] => [8,3,1,5,6,7,2,4] => [3,5,2,8,6,7,4,1] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[2,8,3,1,7,6,5,4] => [3,2,8,5,6,7,1,4] => [2,5,3,8,6,7,4,1] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,8,2,1,7,6,5,4] => [2,8,3,5,6,7,1,4] => [3,2,5,8,6,7,4,1] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[6,7,1,2,8,5,4,3] => [7,1,4,5,8,6,2,3] => [4,1,7,6,5,8,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[8,2,3,1,7,6,5,4] => [3,8,2,5,6,7,1,4] => [5,3,1,8,6,7,4,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,3,2,1,7,6,5,4] => [2,3,8,5,6,7,1,4] => [5,2,3,8,6,7,4,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,4,1,7,6,8,5,2] => [4,5,3,1,8,7,6,2] => [4,3,7,2,5,8,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,5,7,2,8,6,4,3] => [1,7,4,6,5,8,2,3] => [1,4,7,5,8,6,3,2] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[5,4,7,6,8,1,3,2] => [8,3,1,5,4,7,6,2] => [3,5,2,7,1,8,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[8,4,1,7,2,6,5,3] => [4,8,7,5,6,3,2,1] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,7,6,1,5,2] => [6,5,3,4,1,7,8,2] => [3,4,5,8,2,6,7,1] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[3,2,8,1,7,6,5,4] => [8,3,2,5,6,7,1,4] => [3,5,1,8,6,7,4,2] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[8,3,1,2,7,6,5,4] => [3,1,8,5,6,7,2,4] => [5,1,3,8,6,7,4,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,2,1,3,7,6,5,4] => [2,8,1,5,6,7,3,4] => [5,2,1,8,6,7,4,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,2,8,3,7,6,5,4] => [1,2,8,5,6,7,3,4] => [1,2,5,8,6,7,4,3] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,8,3,7,6,5,4] => [2,1,8,5,6,7,3,4] => [2,1,5,8,6,7,4,3] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[4,1,8,7,2,6,5,3] => [4,7,5,1,6,2,8,3] => [8,4,5,3,6,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,8,2,6,4,3] => [5,8,4,6,1,2,7,3] => [6,4,7,5,3,2,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[6,7,1,8,2,5,4,3] => [7,8,4,5,2,6,1,3] => [5,4,7,6,2,8,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,8,7,1,2,6,4,3] => [7,1,4,6,5,2,8,3] => [4,1,6,5,8,3,7,2] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[3,8,1,2,7,6,5,4] => [8,1,3,5,6,7,2,4] => [3,1,5,8,6,7,4,2] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[2,8,1,3,7,6,5,4] => [8,2,1,5,6,7,3,4] => [2,5,1,8,6,7,4,3] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,8,2,3,7,6,5,4] => [1,8,2,5,6,7,3,4] => [1,5,2,8,6,7,4,3] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,1,4,5,6,7,8,9,10,2] => [3,10,1,4,5,6,7,8,9,2] => [4,3,2,5,6,7,8,9,10,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,3,4,5,6,7,8,9,11,1,10] => [11,2,3,4,5,6,7,8,9,1,10] => [2,3,4,5,6,7,8,9,11,1,10] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[2,3,4,5,6,7,8,9,10,12,1,11] => [12,2,3,4,5,6,7,8,9,10,1,11] => [2,3,4,5,6,7,8,9,10,12,1,11] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[6,7,1,8,4,5,2,3] => [7,5,2,8,4,6,1,3] => [6,7,1,5,2,8,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[2,6,5,1,8,3,7,4] => [5,2,6,8,7,3,4,1] => [2,8,7,5,6,3,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,1,8,2,7,4] => [5,6,3,8,7,2,4,1] => [7,3,8,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,5,6,1,8,3,7,4] => [6,2,8,7,5,1,3,4] => [2,7,5,6,8,4,3,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,4,6,1,2,8,7,5] => [6,1,3,4,7,2,8,5] => [3,1,4,8,6,5,7,2] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[7,3,1,5,8,2,6,4] => [3,7,8,6,2,1,5,4] => [7,6,3,8,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,1,5,8,3,6,4] => [2,7,8,6,1,3,5,4] => [7,2,6,8,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,2,5,1,8,3,7,4] => [5,6,8,7,2,1,3,4] => [8,7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,1,3,8,7,5] => [6,4,1,2,7,3,8,5] => [4,8,2,3,6,5,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,1,4,8,7,5] => [6,2,3,1,7,4,8,5] => [2,3,8,1,6,5,7,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,1,2,4,3,7,6,5] => [8,1,4,2,6,7,3,5] => [4,1,6,3,8,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[8,1,3,4,2,7,6,5] => [8,4,1,3,6,7,2,5] => [4,6,2,1,8,7,5,3] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[6,3,4,1,2,8,7,5] => [4,1,6,3,7,2,8,5] => [8,1,4,2,6,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,1,2,8,7,5] => [3,1,6,4,7,2,8,5] => [4,1,3,8,6,5,7,2] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,6,4,1,2,8,7,5] => [4,1,3,6,7,2,8,5] => [3,1,8,4,6,5,7,2] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,7,1,3,2,8,6,5] => [7,3,1,4,6,8,2,5] => [3,4,2,7,8,6,5,1] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[2,7,1,3,4,8,6,5] => [7,2,1,3,6,8,4,5] => [2,7,1,3,8,6,5,4] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,6,3,1,4,8,7,5] => [3,2,6,1,7,4,8,5] => [2,8,3,1,6,5,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,1,4,8,7,5] => [2,6,3,1,7,4,8,5] => [3,2,8,1,6,5,7,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[8,1,5,2,7,3,6,4] => [8,5,7,6,1,3,2,4] => [5,8,6,7,4,2,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,3,8,7,5] => [2,4,1,6,7,3,8,5] => [8,2,1,4,6,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,3,1,8,7,6] => [3,4,2,5,1,7,8,6] => [5,3,1,4,2,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[8,1,2,3,4,7,6,5] => [8,1,2,3,6,7,4,5] => [6,1,2,3,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,2,1,3,4,8,6,5] => [2,7,1,3,6,8,4,5] => [7,2,1,3,8,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,4,3,6,1,5,8,7] => [6,2,4,3,1,5,8,7] => [2,4,6,1,3,5,8,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[2,4,3,6,5,8,1,7] => [8,2,4,3,6,5,1,7] => [2,4,6,1,8,3,5,7] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[2,4,6,3,5,8,7,1] => [7,2,6,4,3,5,8,1] => [2,4,6,8,1,3,7,5] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[2,4,1,6,5,3,8,7] => [4,2,5,1,6,3,8,7] => [2,6,4,3,5,1,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,2,6,5,3,1,8,7] => [3,5,4,1,6,2,8,7] => [6,3,4,2,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,2,6,5,1,3,8,7] => [5,4,1,2,6,3,8,7] => [4,6,2,3,5,1,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[4,2,6,5,1,8,7,3] => [5,4,6,2,7,3,8,1] => [6,8,4,2,5,1,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,2,6,5,8,1,7,3] => [8,4,7,2,6,5,1,3] => [4,7,6,2,8,1,5,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,2,6,5,8,1,3,7] => [8,4,1,2,6,5,3,7] => [4,6,2,3,8,1,5,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[2,4,6,1,5,8,3,7] => [6,2,8,4,1,5,3,7] => [2,6,4,8,3,1,5,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,4,1,6,5,8,3,7] => [4,2,8,1,6,5,3,7] => [2,6,4,3,8,1,5,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,1,4,6,5,8,3,7] => [2,1,8,4,6,5,3,7] => [2,1,4,6,8,3,5,7] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[4,2,6,5,8,3,7,1] => [7,4,8,2,6,5,3,1] => [6,7,4,2,8,1,3,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[4,2,6,8,5,3,7,1] => [7,4,5,2,8,6,3,1] => [4,7,6,2,5,8,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[2,4,6,8,1,5,7,3] => [8,2,7,4,1,6,5,3] => [2,4,6,7,3,8,1,5] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[2,4,6,1,8,5,7,3] => [6,2,7,4,8,1,5,3] => [2,7,4,8,6,5,1,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,4,1,6,8,5,7,3] => [4,2,7,1,8,6,5,3] => [2,7,4,3,6,8,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,4,6,1,8,5,3,7] => [6,2,5,4,8,1,3,7] => [2,4,6,8,5,3,1,7] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[2,4,6,8,1,5,3,7] => [8,2,5,4,1,6,3,7] => [2,4,5,6,3,8,1,7] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[4,2,6,8,5,1,7,3] => [5,4,8,2,7,6,3,1] => [5,7,4,2,6,8,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[2,4,6,8,3,1,5,7] => [3,2,8,4,1,6,5,7] => [2,4,3,6,1,8,5,7] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[2,4,6,3,1,8,5,7] => [3,2,6,4,8,1,5,7] => [2,4,3,8,6,5,1,7] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,4,6,3,8,1,5,7] => [8,2,6,4,1,3,5,7] => [2,4,6,8,3,5,1,7] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[2,4,6,3,8,5,1,7] => [5,2,8,4,6,1,3,7] => [2,5,4,8,6,3,1,7] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,4,3,6,8,5,1,7] => [5,2,4,3,8,6,1,7] => [2,4,6,1,5,8,3,7] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[2,4,3,6,8,1,5,7] => [8,2,4,3,1,6,5,7] => [2,4,6,1,3,8,5,7] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[2,4,3,6,1,8,5,7] => [6,2,4,3,8,1,5,7] => [2,4,8,1,6,5,3,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,4,3,1,6,8,5,7] => [3,2,4,1,8,6,5,7] => [2,4,3,1,6,8,5,7] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[2,4,1,3,6,8,7,5] => [4,2,1,3,7,6,8,5] => [2,4,1,3,6,8,7,5] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[2,4,6,3,8,1,7,5] => [8,2,6,4,7,3,1,5] => [2,4,6,8,7,3,5,1] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[2,4,6,3,1,8,7,5] => [3,2,6,4,7,1,8,5] => [2,4,3,8,6,5,7,1] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,4,1,6,3,8,7,5] => [4,2,6,1,7,3,8,5] => [2,8,4,3,6,5,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,6,3,8,7,5] => [2,1,6,4,7,3,8,5] => [2,1,4,8,6,5,7,3] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,4,6,8,3,7,5] => [2,1,8,4,7,6,3,5] => [2,1,4,6,7,8,5,3] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,1,6,8,3,7,5] => [4,2,8,1,7,6,3,5] => [2,6,4,3,7,8,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[2,4,6,1,8,3,7,5] => [6,2,8,4,7,1,3,5] => [2,6,4,8,7,5,3,1] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,4,6,8,1,3,7,5] => [8,2,1,4,7,6,3,5] => [2,4,1,6,7,8,5,3] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[2,4,6,8,3,1,7,5] => [3,2,8,4,7,6,1,5] => [2,4,3,6,7,8,5,1] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[4,6,2,8,5,7,1,3] => [7,6,1,4,8,2,5,3] => [4,7,2,8,6,5,1,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[2,6,4,8,1,7,5,3] => [8,2,5,7,6,3,1,4] => [2,5,8,6,7,3,4,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,6,4,1,8,7,5,3] => [4,2,6,5,7,3,8,1] => [2,8,4,6,5,1,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,4,8,7,5,3] => [2,1,5,7,6,3,8,4] => [2,1,8,5,6,4,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,4,8,7,3,5] => [2,1,7,6,3,4,8,5] => [2,1,6,8,4,5,7,3] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[2,6,1,4,8,7,3,5] => [6,2,7,1,3,4,8,5] => [2,8,6,3,4,5,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,1,8,7,3,5] => [4,2,6,7,1,3,8,5] => [2,8,6,4,3,5,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,8,7,5,1,3] => [5,4,2,7,6,1,8,3] => [5,8,1,4,6,3,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,4,8,7,3,5,1] => [5,6,7,2,3,4,8,1] => [8,6,5,2,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,8,7,3,1,5] => [3,7,6,1,2,4,8,5] => [8,3,6,2,4,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,7,3,8,2,5] => [1,8,7,6,2,4,3,5] => [1,6,7,8,4,3,5,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,3,7,4,5,8,2,6] => [1,8,3,7,4,2,5,6] => [1,3,7,8,2,5,6,4] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[5,2,4,7,3,6,8,1] => [8,5,7,2,4,3,6,1] => [5,8,7,2,1,3,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,6,3,7,2,4,5] => [8,7,6,2,4,1,3,5] => [6,7,8,2,1,5,4,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,2,7,4,8,3,5,6] => [1,2,8,7,3,5,4,6] => [1,2,7,8,4,3,6,5] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[4,3,1,7,5,8,2,6] => [3,4,8,2,7,1,5,6] => [7,4,3,1,8,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,2,1,7,3,4,6] => [2,8,7,3,5,4,1,6] => [5,2,7,1,8,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,7,2,1,8,3,4,6] => [2,7,8,3,5,4,1,6] => [7,2,5,1,8,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,2,4,8,3,6,7] => [5,1,8,2,4,3,6,7] => [8,1,5,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,5,8,2,7] => [6,8,4,3,1,5,2,7] => [6,4,8,1,3,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,6,1,4,5,8,3,7] => [6,2,8,1,4,5,3,7] => [2,8,6,3,1,4,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,4,8,2,7] => [5,6,2,3,8,4,1,7] => [8,6,1,2,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,4,8,3,5,7] => [1,6,8,2,3,4,5,7] => [1,8,6,3,4,5,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,1,3,7,2,4,6] => [5,8,2,1,7,4,3,6] => [8,5,1,3,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,5,8,3,7] => [2,4,6,8,3,5,1,7] => [8,2,6,4,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,4,1,8,6,7] => [4,2,5,3,1,8,6,7] => [2,5,4,1,3,8,6,7] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[4,3,5,2,1,8,6,7] => [2,5,4,3,1,8,6,7] => [4,2,5,1,3,8,6,7] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[2,6,4,8,7,1,3,5] => [7,2,1,6,3,4,8,5] => [2,6,1,8,4,5,7,3] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,6,4,8,7,2,3,5] => [1,7,2,6,3,4,8,5] => [1,6,2,8,4,5,7,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,7,8,3,6,1,4,5] => [6,2,8,1,4,3,7,5] => [2,7,6,3,1,5,8,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,3,2,8,7,1,5,6] => [7,3,4,2,1,5,8,6] => [3,8,4,1,2,5,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,8,3,7,1,4,5] => [7,6,8,1,4,2,3,5] => [7,8,6,3,1,5,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,4,8,7,2,3,6] => [5,7,2,1,4,3,8,6] => [8,5,1,3,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,5,1,3,7,6] => [5,8,1,4,2,7,3,6] => [5,4,2,7,3,8,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[3,8,2,1,5,4,7,6] => [2,8,3,5,1,7,4,6] => [3,2,5,7,4,8,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[8,3,2,1,5,4,6,7] => [2,3,8,5,1,4,6,7] => [5,2,3,8,4,1,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,4,2,5,1,6,3,7] => [5,4,8,6,3,1,2,7] => [6,8,4,5,1,3,2,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,2,1,4,6,5,7] => [2,3,8,1,6,4,5,7] => [6,2,3,1,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,8,2,1,4,5,7,6] => [2,8,3,1,4,7,5,6] => [3,2,7,1,4,8,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[3,7,2,1,4,5,8,6] => [2,7,3,1,4,8,5,6] => [3,2,8,1,4,7,6,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,8,2,1,4,7,5,6] => [2,8,3,1,7,5,4,6] => [3,2,7,1,8,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[3,7,2,1,4,8,5,6] => [2,7,3,1,8,5,4,6] => [3,2,8,1,7,4,6,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,7,5,8,6,4] => [2,3,1,6,8,7,4,5] => [3,2,1,8,6,7,5,4] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[4,3,7,6,8,1,2,5] => [8,1,4,3,2,7,6,5] => [4,1,7,2,3,8,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[4,2,8,6,1,7,3,5] => [6,4,8,2,1,7,3,5] => [6,8,4,2,3,7,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,2,1,8,7,5,6,4] => [2,3,1,6,7,5,8,4] => [3,2,1,8,6,4,7,5] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,2,8,1,7,4,6,5] => [8,3,2,7,6,4,1,5] => [3,6,1,7,8,4,5,2] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[3,2,8,1,6,4,7,5] => [8,3,2,6,7,1,4,5] => [3,6,1,8,7,5,4,2] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[3,2,7,1,6,4,8,5] => [7,3,2,6,8,1,4,5] => [3,7,1,8,6,5,4,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[4,2,8,6,1,3,7,5] => [6,4,1,2,8,7,5,3] => [4,8,2,3,6,7,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,7,8,3,4,1,2,6] => [4,1,8,3,5,2,7,6] => [5,1,4,2,7,3,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[4,2,7,8,1,3,6,5] => [8,4,1,2,6,3,7,5] => [4,6,2,3,7,5,8,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[4,2,6,8,1,3,7,5] => [8,4,1,2,7,6,3,5] => [4,6,2,3,7,8,5,1] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[3,2,6,1,8,4,7,5] => [6,3,2,8,7,1,4,5] => [3,8,1,6,7,5,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,8,5,1,2,6] => [5,1,8,4,7,3,2,6] => [5,1,4,8,7,2,6,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,2,7,1,8,6,4,5] => [7,3,2,6,4,8,1,5] => [3,7,1,8,2,6,5,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[3,2,1,6,8,5,7,4] => [2,3,1,7,8,6,5,4] => [3,2,1,7,6,8,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[3,2,6,1,7,8,4,5] => [6,3,2,8,4,1,7,5] => [3,7,1,6,2,5,8,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[3,4,6,8,7,5,1,2] => [5,1,3,4,7,6,8,2] => [3,1,4,6,5,8,7,2] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[5,3,6,4,8,7,1,2] => [7,1,5,6,3,4,8,2] => [5,1,8,6,3,2,7,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,4,6,2,7,8,5,3] => [1,6,5,4,8,2,7,3] => [1,4,6,7,5,3,8,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,2,7,5,4,8,6,3] => [1,2,6,5,8,7,3,4] => [1,2,6,8,5,7,4,3] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[6,3,7,5,4,8,1,2] => [8,1,6,5,7,3,4,2] => [5,1,7,8,6,3,2,4] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[7,3,8,5,4,6,1,2] => [6,1,7,5,8,4,3,2] => [7,1,6,8,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,6,8,5,4,7,1,2] => [7,1,3,5,8,6,4,2] => [3,1,6,7,5,8,2,4] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[6,8,3,5,4,7,1,2] => [7,1,8,5,3,6,4,2] => [6,1,5,7,3,8,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[7,8,1,2,4,6,5,3] => [8,1,5,2,6,4,7,3] => [5,1,7,3,6,2,8,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[4,3,6,1,8,2,7,5] => [6,8,4,3,7,1,2,5] => [6,4,8,1,7,5,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,5,1,6,4,3,2,8] => [5,3,4,7,6,2,1,8] => [3,7,5,4,6,1,2,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,8,1,6,4,3,2,7] => [8,3,4,6,5,1,2,7] => [3,6,4,5,8,2,1,7] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,5,8,6,4,3,2,7] => [1,3,4,6,5,8,2,7] => [1,5,3,4,8,6,2,7] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[3,4,6,1,5,8,2,7] => [6,8,3,4,1,5,2,7] => [4,3,6,8,2,1,5,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[7,1,8,6,4,3,2,5] => [7,3,4,6,2,8,1,5] => [3,8,4,7,1,6,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,5,6,3,8,4] => [2,1,6,8,7,5,3,4] => [2,1,8,6,7,3,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,7,5,8,2,4] => [3,8,1,2,7,6,5,4] => [6,3,2,1,7,8,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[7,8,1,6,5,3,2,4] => [8,3,5,2,6,1,7,4] => [3,7,5,1,6,4,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[2,8,1,5,4,6,7,3] => [8,2,7,5,1,4,6,3] => [2,5,7,8,4,1,3,6] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,2,1,5,4,6,8,3] => [2,7,8,5,1,4,6,3] => [7,2,5,8,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,2,8,5,6,3,7,4] => [1,2,6,7,8,5,3,4] => [1,2,8,7,6,3,5,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,2,5,7,3,8,4] => [6,1,7,8,2,5,3,4] => [8,1,7,6,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,5,6,3,7,8] => [2,4,6,1,5,3,7,8] => [5,2,4,3,6,1,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[5,1,6,3,7,8,2,4] => [5,8,6,2,1,3,7,4] => [7,5,6,2,4,3,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,3,6,8,5,7,2,4] => [1,7,3,2,8,6,5,4] => [1,3,7,2,6,8,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[5,4,6,1,3,7,2,8] => [6,7,1,5,4,3,2,8] => [6,5,2,7,1,3,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,2,4,5,8,3,7,6] => [1,2,8,4,5,7,3,6] => [1,2,4,5,7,8,6,3] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[2,8,3,5,4,1,7,6] => [4,2,5,8,1,7,3,6] => [2,7,5,4,3,8,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,2,6,3,8,1,7,5] => [8,4,6,2,7,3,1,5] => [4,8,6,2,7,3,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,2,3,4,1,6,5] => [4,8,2,3,6,1,7,5] => [6,4,1,2,7,5,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[7,8,1,4,6,3,2,5] => [8,3,6,1,2,4,7,5] => [3,7,6,2,4,5,8,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,8,7,4,3,2,6] => [5,3,4,7,1,2,8,6] => [3,8,5,4,2,1,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,8,4,3,2,7] => [5,3,4,6,8,2,1,7] => [3,8,6,4,5,1,2,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,1,4,3,2,8] => [7,3,4,1,6,5,2,8] => [3,6,4,2,7,1,5,8] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[5,8,7,1,4,3,2,6] => [7,3,4,1,5,2,8,6] => [3,5,4,2,8,1,7,6] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[2,4,7,5,1,3,8,6] => [5,2,1,4,7,8,3,6] => [2,4,1,8,5,7,6,3] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,8,9,6,7] => [1,2,3,4,5,9,8,7,6] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,7] => [9,1,2,3,4,5,6,8,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,9,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,6] => [9,1,2,3,4,5,7,8,6] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[6,7,8,9,1,2,3,4,5] => [9,1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,9,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[9,6,7,8,1,2,3,4,5] => [8,1,2,3,4,9,6,7,5] => [9,1,2,3,4,8,5,6,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,9,6,7,1,2,3,4,5] => [7,1,2,3,4,9,6,8,5] => [8,1,2,3,4,7,5,9,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,5] => [9,1,2,3,4,6,7,8,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,2] => [9,1,3,4,5,6,7,8,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,10,1,2,3,4,5,6,7,8] => [10,1,2,3,4,5,6,7,9,8] => [9,1,2,3,4,5,6,7,10,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[8,9,10,1,2,3,4,5,6,7] => [10,1,2,3,4,5,6,8,9,7] => [8,1,2,3,4,5,6,9,10,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]
[10,8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,10,8,7] => [10,1,2,3,4,5,6,9,7,8] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,10,7] => [10,1,2,3,4,5,6,8,9,7] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,8,9,10,1,2,3,4,5,6] => [10,1,2,3,4,5,7,8,9,6] => [7,1,2,3,4,5,8,9,10,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]
[10,7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,10,7,8,6] => [10,1,2,3,4,5,9,6,7,8] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,10,6] => [10,1,2,3,4,5,7,8,9,6] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,10,5] => [10,1,2,3,4,6,7,8,9,5] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,2] => [10,1,3,4,5,6,7,8,9,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,2,7,5,4,1,6,8] => [4,3,2,5,7,1,6,8] => [3,7,1,4,5,2,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[4,3,6,2,8,1,5,7] => [8,6,4,3,1,2,5,7] => [4,6,8,1,3,5,2,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,3,6,8,1,7,2,5] => [8,7,4,3,2,6,1,5] => [4,6,7,1,2,8,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[5,3,6,4,1,7,2,8] => [4,6,7,5,1,2,3,8] => [7,5,4,6,3,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,2,1,5,8,3,7,4] => [2,6,8,7,1,5,3,4] => [8,2,6,7,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,2,5,8,1,3] => [8,7,1,4,2,6,5,3] => [4,6,2,7,3,8,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,4,6,3,5,8,7,2] => [1,7,6,4,3,5,8,2] => [1,4,6,8,2,3,7,5] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[5,4,6,2,7,8,1,3] => [8,6,1,5,4,2,7,3] => [5,6,2,7,1,4,8,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[5,6,3,2,7,1,8,4] => [7,3,6,8,5,2,1,4] => [3,7,6,5,8,2,4,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[2,5,4,1,6,3,8,7] => [4,2,5,6,3,1,8,7] => [2,6,5,4,1,3,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,6,3,2,1,8,4,7] => [2,3,6,8,5,1,4,7] => [6,2,3,5,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,8,4,3,2,1,5,7] => [2,3,4,8,1,6,5,7] => [6,2,3,4,1,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,7,5,8,2,1,4,6] => [2,8,3,1,7,4,5,6] => [3,2,7,1,8,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[7,3,2,8,5,1,6,4] => [5,3,8,7,6,2,4,1] => [5,8,3,6,7,2,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,4,3,2,1,7,5] => [2,3,4,6,8,7,5,1] => [8,2,3,4,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,3,2,1,8,5] => [2,3,4,6,7,8,5,1] => [8,2,3,4,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,3,2,1,6,5] => [2,3,4,8,6,1,7,5] => [6,2,3,4,7,5,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,4,7,2,1,8,6,3] => [2,7,6,5,4,8,1,3] => [5,2,7,8,1,6,4,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[7,5,8,3,2,6,1,4] => [6,3,8,1,7,2,5,4] => [6,8,3,2,7,5,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,7,3,2,1,6,8,4] => [2,3,7,8,5,1,6,4] => [7,2,3,5,8,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,3,7,2,5,1,8,4] => [5,7,6,8,2,3,1,4] => [8,6,7,5,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,7,8,4,1,3] => [4,8,2,6,1,5,7,3] => [7,4,1,6,3,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,1,5,7,8,6,3,4] => [2,1,6,3,5,8,7,4] => [2,1,5,3,7,6,8,4] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[3,6,7,2,8,1,4,5] => [8,7,3,1,4,6,2,5] => [3,6,7,2,1,8,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[6,3,7,2,8,1,4,5] => [8,7,6,1,4,3,2,5] => [6,7,8,3,1,4,5,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[2,5,8,4,1,3,7,6] => [4,2,1,8,5,7,3,6] => [2,5,1,4,7,8,6,3] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[2,4,1,7,8,3,6,5] => [4,2,8,1,6,3,7,5] => [2,6,4,3,7,5,8,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[3,7,2,8,6,1,4,5] => [6,8,3,2,4,7,1,5] => [6,3,8,1,2,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,6,8,2,1,7,4,5] => [2,8,3,7,4,6,1,5] => [3,2,6,7,1,8,5,4] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[8,4,7,3,2,1,5,6] => [2,3,7,8,1,5,4,6] => [8,2,3,7,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,9,7,6,5,4,3,2] => [1,3,4,5,6,7,9,8,2] => [1,8,3,4,5,6,7,9,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,8,7,9,6,5,4,3,2] => [1,3,4,5,6,9,8,7,2] => [1,8,3,4,5,6,9,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,6,3,7,5,2,4,1] => [4,5,7,3,6,8,2,1] => [8,5,4,1,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,6,3,2,8,7] => [4,3,5,6,2,1,8,7] => [5,6,3,4,1,2,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[5,7,1,6,2,8,3,4] => [7,6,8,3,5,1,2,4] => [6,7,5,1,8,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,7,1,6,2,8,4,3] => [7,6,4,8,5,1,2,3] => [5,6,7,4,8,3,2,1] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[2,3,6,5,1,4,8,7] => [5,2,3,1,6,4,8,7] => [2,3,6,1,5,4,8,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,3,6,4,1,5,8,7] => [4,2,3,6,1,5,8,7] => [2,3,6,4,1,5,8,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[2,3,6,1,5,4,8,7] => [6,2,3,5,1,4,8,7] => [2,3,5,6,4,1,8,7] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[2,1,7,6,3,8,5,4] => [2,1,6,5,7,8,4,3] => [2,1,7,8,5,6,3,4] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[2,1,7,6,3,8,4,5] => [2,1,6,7,3,8,4,5] => [2,1,8,7,4,6,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,7,6,4,1,8,3,5] => [4,2,6,7,3,8,1,5] => [2,8,7,4,1,6,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,8,2,4,7] => [5,8,6,2,3,1,4,7] => [8,5,6,2,3,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,7,6,1,5] => [6,2,3,4,1,7,8,5] => [2,3,4,8,1,6,7,5] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,8,5,7,1,6] => [7,2,3,4,8,1,5,6] => [2,3,4,8,7,5,6,1] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,1,4,5,8,7,3,6] => [2,1,7,4,5,3,8,6] => [2,1,4,5,8,3,7,6] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[7,3,5,4,8,1,6,2] => [8,6,7,5,3,1,4,2] => [5,7,6,8,2,4,1,3] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[2,3,4,8,7,5,6,1] => [6,2,3,4,7,5,8,1] => [2,3,4,8,6,1,7,5] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,8,7,5,1,6] => [5,2,3,4,7,1,8,6] => [2,3,4,8,5,1,7,6] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,7,6,5,4,8,1,3] => [8,2,1,5,6,7,4,3] => [2,5,1,8,6,7,3,4] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,3,5,6,8,1,2,4] => [8,1,7,2,3,5,6,4] => [7,1,8,3,4,2,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,7,1,6,3,8,2,4] => [7,8,6,2,5,1,3,4] => [6,5,7,2,8,4,3,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,4,1,5,8,2,3,6] => [4,7,1,8,2,3,5,6] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,8,2,6,3] => [4,7,8,6,2,3,5,1] => [8,6,4,7,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,7,8,2,1,4] => [2,8,6,1,3,5,7,4] => [6,2,7,3,4,1,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[5,7,3,6,1,8,4,2] => [6,4,8,7,5,2,1,3] => [6,7,4,5,8,2,3,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[2,1,4,5,8,6,3,7] => [2,1,6,4,5,8,3,7] => [2,1,4,5,8,6,3,7] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,8,5,6,1,7] => [6,2,3,4,8,5,1,7] => [2,3,4,8,6,1,5,7] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,8,7,1,6,5] => [7,2,3,4,6,1,8,5] => [2,3,4,6,8,5,7,1] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[2,3,4,8,1,7,6,5] => [8,2,3,4,6,7,1,5] => [2,3,4,6,8,7,5,1] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[2,3,4,8,5,1,7,6] => [5,2,3,4,8,7,1,6] => [2,3,4,7,5,8,6,1] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[6,3,5,4,8,2,7,1] => [7,8,6,5,3,4,2,1] => [6,5,7,8,2,1,3,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[2,1,4,5,8,3,7,6] => [2,1,8,4,5,7,3,6] => [2,1,4,5,7,8,6,3] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[7,4,3,5,8,2,6,1] => [6,8,4,7,3,2,5,1] => [7,4,8,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,3,4,8,5,1,6,7] => [5,2,3,4,8,1,6,7] => [2,3,4,8,5,1,6,7] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,8,1,6,5,7] => [8,2,3,4,6,1,5,7] => [2,3,4,6,8,5,1,7] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[7,8,2,6,1,5,3,4] => [6,8,5,3,1,2,7,4] => [6,5,7,1,4,3,8,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,8,6,7,2,5,3,4] => [1,7,5,3,2,8,6,4] => [1,5,8,2,4,7,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,8,1,7,2,6,3,4] => [8,7,6,3,5,2,1,4] => [5,6,7,1,8,3,4,2] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[5,8,2,7,1,6,3,4] => [7,8,6,3,5,1,2,4] => [6,5,7,1,8,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[2,8,5,7,1,6,3,4] => [7,2,6,3,8,1,5,4] => [2,7,8,1,6,5,3,4] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,8,2,7,4,6,3,5] => [1,8,6,7,3,4,2,5] => [1,6,8,7,3,4,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,8,1,7,2,6,3,5] => [8,7,6,4,3,2,1,5] => [4,6,7,8,1,3,5,2] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,8,4,7,2,6,3,5] => [1,7,6,8,3,2,4,5] => [1,7,8,6,3,5,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,8,1,7,5,6,2,3] => [8,6,2,4,7,5,1,3] => [4,6,1,8,7,2,5,3] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,8,4,7,5,6,2,3] => [1,6,2,8,7,5,4,3] => [1,8,2,6,7,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,1,7,5,6,2,4] => [8,6,3,2,7,5,1,4] => [3,6,8,1,7,2,5,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,8,3,7,2,6,4,5] => [1,7,8,6,4,2,3,5] => [1,7,6,8,2,5,4,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,8,1,7,2,6,4,5] => [8,7,3,6,4,2,1,5] => [3,6,7,8,1,4,5,2] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[3,8,2,7,4,6,1,5] => [6,8,3,7,1,4,2,5] => [6,3,8,7,4,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,8,2,7,5,6,1,4] => [6,8,3,1,7,5,2,4] => [6,3,8,2,7,1,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,8,2,7,5,6,1,3] => [6,8,1,4,7,5,2,3] => [6,4,2,8,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,3,7,5,6,1,2] => [6,1,8,4,7,5,3,2] => [6,1,4,8,7,2,3,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,8,4,7,5,6,1,2] => [6,1,3,8,7,5,4,2] => [3,1,8,6,7,2,4,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,8,3,7,5,6,1,4] => [6,2,8,1,7,5,3,4] => [2,8,6,3,7,1,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,3,7,4,6,1,5] => [6,2,8,7,1,4,3,5] => [2,8,6,7,4,3,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,3,7,1,6,4,5] => [7,2,8,6,4,1,3,5] => [2,7,6,8,1,5,4,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,8,1,7,3,6,4,5] => [8,2,7,6,4,3,1,5] => [2,6,7,8,1,4,5,3] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,5,2,8,6,4,1,3] => [4,6,1,5,8,7,2,3] => [8,4,2,6,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,6,1,5,2,3] => [6,5,2,8,4,7,1,3] => [6,8,1,5,2,7,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,8,4,5,2,6,3] => [7,5,6,8,4,2,1,3] => [6,8,7,5,1,3,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,8,1,7,4,2,5,3] => [8,4,7,5,3,6,1,2] => [4,7,5,6,1,8,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,6,7,4,2,8,5,3] => [1,4,7,5,8,6,3,2] => [1,7,4,6,5,8,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,7,3,8,5,2,4] => [1,5,8,3,7,6,2,4] => [1,7,5,2,6,8,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,1,8,4,2,5,6] => [3,7,4,8,1,5,2,6] => [8,3,7,4,2,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,3,5,1,6,4] => [5,7,8,6,3,1,2,4] => [8,6,5,7,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,3,4,6,1,5] => [6,7,8,3,1,4,2,5] => [8,7,6,1,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,8,5,7,4,1] => [4,7,1,6,8,3,5,2] => [8,4,2,7,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,4,8,5,2,7] => [3,6,5,2,8,4,1,7] => [8,3,6,1,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,7,8,4,5,1] => [5,2,6,8,4,3,7,1] => [2,7,6,5,1,3,8,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,5,4,7,8,2,6] => [3,8,1,5,4,2,7,6] => [5,3,2,7,1,4,8,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[5,3,1,4,8,2,6,7] => [3,5,8,2,4,1,6,7] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,8,6,1,3,7] => [6,5,1,2,4,8,3,7] => [5,8,2,3,1,6,4,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,2,3,8,4,6,7,1] => [7,5,2,8,3,4,6,1] => [7,8,1,5,3,2,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,2,3,5,7,1,6] => [7,8,2,4,3,1,5,6] => [7,4,1,8,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,4,3,8,1,2,7,6] => [8,1,4,5,3,7,2,6] => [4,1,7,5,2,8,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[6,4,2,8,1,3,7,5] => [8,4,1,6,7,2,3,5] => [4,8,2,6,7,5,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,8,2,5,1,7,4] => [5,8,6,7,2,3,1,4] => [8,5,7,6,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,1,4,7,2,5] => [8,7,6,1,2,3,4,5] => [6,7,8,3,4,5,2,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,8,1,4,2,6,3,7] => [8,4,6,1,5,2,3,7] => [4,6,5,3,8,2,1,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[6,5,1,2,8,7,3,4] => [5,1,6,2,7,3,8,4] => [8,1,6,3,5,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,4,1,7,3,8] => [4,6,5,7,3,2,1,8] => [7,5,6,4,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,5,6,1,2,8,7,4] => [6,1,3,7,5,2,8,4] => [3,1,6,5,8,4,7,2] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[3,5,7,1,8,6,2,4] => [7,6,3,2,5,8,1,4] => [3,5,7,1,8,6,4,2] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[3,6,2,7,5,1,8,4] => [5,7,3,6,8,4,2,1] => [6,3,8,7,5,1,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,4,7,2,8,6,1,5] => [6,8,3,4,2,7,1,5] => [4,3,6,8,1,7,5,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[3,4,5,8,2,7,1,6] => [7,8,3,4,5,1,2,6] => [4,3,5,7,8,2,6,1] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[3,5,2,6,8,1,7,4] => [8,5,3,7,2,6,1,4] => [3,5,7,6,2,8,4,1] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[5,3,6,8,4,7,2,1] => [2,7,5,8,3,6,4,1] => [6,2,7,5,3,8,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[3,7,2,5,4,8,6,1] => [6,8,3,5,1,7,4,2] => [5,3,6,8,4,7,1,2] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[8,4,2,5,7,3,6,1] => [6,4,8,7,3,2,5,1] => [7,8,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,7,2,5,8,3,6,1] => [6,7,8,4,2,3,5,1] => [7,6,4,8,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,2,6,8,4,3,7,1] => [7,5,4,8,2,6,3,1] => [5,6,7,4,2,8,1,3] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[3,1,6,5,4,8,2,7] => [3,8,1,5,6,4,2,7] => [5,3,2,8,6,1,4,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,1,6,5,8,3,2,7] => [4,3,8,1,6,5,2,7] => [4,6,3,2,8,1,5,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[5,1,6,8,4,3,2,7] => [5,3,4,8,1,6,2,7] => [3,6,5,4,2,8,1,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[8,5,4,7,6,3,2,1] => [2,3,6,5,7,8,1,4] => [7,2,3,8,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,7,1,8,4,3,2,6] => [7,3,4,8,5,2,1,6] => [3,7,5,4,8,1,6,2] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[8,2,1,5,4,3,7,6] => [2,8,4,5,1,7,3,6] => [4,2,7,5,3,8,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[8,5,6,7,1,3,2,4] => [7,3,1,2,8,5,6,4] => [3,8,2,1,7,4,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,6,1,7,3,2,5] => [6,3,7,8,2,4,1,5] => [7,8,3,6,2,4,5,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,6,1,4,7,2,5] => [6,7,8,1,2,3,4,5] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,1,4,3,8,5] => [6,2,4,1,7,8,5,3] => [2,4,8,3,7,6,1,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,7,6,8,2,3,4,1] => [4,8,2,3,5,7,6,1] => [5,4,1,2,7,8,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[5,7,2,8,4,3,6,1] => [6,7,4,8,5,3,2,1] => [6,5,7,4,8,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[4,7,6,2,8,3,5,1] => [5,6,7,4,2,8,3,1] => [7,5,4,8,2,6,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,7,6,2,4,8,5,1] => [5,8,3,1,6,7,4,2] => [5,3,8,2,6,7,1,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,7,3,8,4,6,2,1] => [2,6,7,8,5,4,3,1] => [7,2,6,5,8,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,7,3,5,8,6,2,1] => [2,6,8,4,1,7,5,3] => [6,2,4,8,3,7,1,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,7,2,1,4,3,6,5] => [2,7,4,1,6,3,8,5] => [4,2,6,3,8,5,7,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[8,7,3,1,4,6,2,5] => [3,7,6,2,1,4,8,5] => [8,3,6,1,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,2,5,4,1] => [4,3,5,6,1,7,8,2] => [5,8,3,4,2,6,7,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,2,6,5,1,3,7,4] => [5,6,2,8,7,4,3,1] => [8,7,1,5,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,8,4,1,2,3] => [4,1,2,8,5,7,6,3] => [5,1,2,4,7,8,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[3,7,6,5,1,8,2,4] => [5,6,3,2,7,8,1,4] => [7,3,8,1,5,6,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[7,8,1,2,3,4,5,6,9] => [8,1,2,3,4,5,7,6,9] => [7,1,2,3,4,5,8,6,9] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,8,9,2,3,4,5,6,7] => [1,9,2,3,4,5,6,8,7] => [1,8,2,3,4,5,6,9,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[10,1,2,3,4,5,6,7,8,9,11] => [10,1,2,3,4,5,6,7,8,9,11] => [10,1,2,3,4,5,6,7,8,9,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[5,6,4,3,8,7,1,2] => [7,1,4,6,5,3,8,2] => [4,1,6,5,8,2,7,3] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[3,6,2,4,8,1,5,7] => [8,6,3,2,1,4,5,7] => [3,6,8,1,4,5,2,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,4,7,2,8,1,6,5] => [8,7,3,4,6,1,2,5] => [3,4,6,7,8,5,2,1] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,4,7,2,5,8,6,3] => [1,7,6,4,2,8,5,3] => [1,4,7,8,3,6,2,5] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[7,3,8,4,5,6,1,2] => [6,1,7,8,4,5,3,2] => [8,1,7,6,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,5,3,7,1,2] => [7,1,5,4,8,6,3,2] => [4,1,6,7,5,8,2,3] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[6,8,5,3,4,7,1,2] => [7,1,5,3,8,6,4,2] => [6,1,7,2,5,8,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,6,5,4,2,8,7,3] => [1,4,5,6,7,2,8,3] => [1,8,6,4,5,3,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,2,7,3,6,4] => [1,5,8,7,6,4,3,2] => [1,8,5,6,7,2,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,4,2,8,7] => [5,4,1,3,6,2,8,7] => [4,6,2,1,5,3,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[4,8,5,3,1,7,2,6] => [3,5,8,4,7,2,1,6] => [5,4,3,8,7,1,6,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,4,5,3,2,8,1,6] => [8,3,5,7,4,1,2,6] => [3,8,5,7,1,4,6,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,2,5,8,3,7] => [1,6,8,4,2,5,3,7] => [1,6,4,8,3,2,5,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,6,2,5,8,1,7,4] => [8,6,3,7,2,5,1,4] => [3,6,8,7,2,1,5,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,6,8,7,4,2,3,5] => [1,4,2,7,3,6,8,5] => [1,6,2,4,3,8,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[6,1,7,8,2,4,3,5] => [6,8,4,2,3,1,7,5] => [6,4,7,2,1,5,8,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[7,1,8,6,3,4,2,5] => [7,4,6,3,2,8,1,5] => [4,8,7,1,2,6,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,4,5,6,8,3] => [2,7,8,1,4,5,6,3] => [8,2,7,3,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,3,6,5,7,4] => [1,2,8,7,6,3,5,4] => [1,2,6,7,8,5,3,4] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[6,1,3,2,7,5,8,4] => [6,3,1,8,7,2,5,4] => [3,8,2,6,7,5,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,8,5,7,2,4] => [1,7,6,2,8,3,5,4] => [1,7,8,3,6,5,2,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,6,4,1,7,5,8,3] => [4,2,6,8,7,3,5,1] => [2,8,6,4,7,3,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,3,7,2,8,5] => [1,7,4,6,8,3,2,5] => [1,4,8,7,6,3,5,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,8,3,5,4,2,7,6] => [1,4,5,8,2,7,3,6] => [1,7,5,4,3,8,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,6,3,8,2,7,5] => [4,8,6,1,7,3,2,5] => [8,4,6,3,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,4,6,3,1,5] => [3,6,8,1,2,4,7,5] => [7,6,3,2,4,5,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,8,5,7,4,3,1,6] => [3,2,4,7,8,1,5,6] => [2,8,3,4,7,5,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,8,3,4,1,6] => [4,7,8,3,2,1,5,6] => [8,7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,1,2,6,4] => [7,1,5,6,3,2,8,4] => [5,1,8,6,3,4,7,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,5,3,8,2,1,7,4] => [2,8,5,6,7,4,1,3] => [5,2,8,7,6,1,4,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,5,8,4,1,2,3,6] => [4,1,2,8,7,3,5,6] => [7,1,2,4,8,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,7,4,1,3,2,6] => [4,3,1,7,5,2,8,6] => [3,5,2,4,8,1,7,6] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[7,8,4,6,3,1,2,5] => [3,1,6,8,2,4,7,5] => [7,1,3,6,4,5,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,6,5,8,4,2,1,7] => [2,4,3,8,6,5,1,7] => [3,2,6,4,8,1,5,7] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[6,8,5,4,3,1,2,7] => [3,1,4,5,8,6,2,7] => [6,1,3,4,5,8,2,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,1,4,2,8,5,7,3] => [6,4,7,1,8,2,5,3] => [7,8,4,3,6,5,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,6,5,3,2,7,1] => [7,3,5,4,6,8,2,1] => [3,5,4,8,7,6,1,2] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[8,6,5,1,2,4,7,3] => [5,1,6,2,8,7,4,3] => [8,1,6,3,5,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,8,2,6,4,3] => [1,8,4,6,7,2,5,3] => [1,4,8,6,7,5,2,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,3,8,5,7,6,2,4] => [1,6,3,2,7,8,4,5] => [1,3,8,2,7,6,5,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,3,1,5,6,2,7,4] => [3,8,6,7,2,5,1,4] => [8,3,6,7,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,2,1,4,7,3] => [2,5,8,3,7,6,4,1] => [7,2,5,1,6,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,8,2,5,6,1,7,4] => [6,8,3,7,2,5,1,4] => [6,3,8,7,2,1,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,1,2,5,6,3,7,4] => [8,1,6,7,2,5,3,4] => [6,1,8,7,4,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,8,6,5,7,1,2,4] => [7,1,3,2,6,8,5,4] => [3,1,7,2,8,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[7,6,5,8,1,2,4,3] => [8,1,4,2,6,7,5,3] => [4,1,6,3,8,7,2,5] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[5,1,3,7,8,6,2,4] => [5,6,1,2,3,8,7,4] => [7,5,2,3,4,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,2,5,8,1,6,4,3] => [8,7,4,6,2,1,5,3] => [4,6,8,7,2,5,1,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[3,2,8,5,7,6,1,4] => [6,3,2,1,7,8,4,5] => [3,8,1,2,7,6,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,8,6,1,7,3,4] => [6,5,8,1,2,7,3,4] => [6,8,5,3,4,7,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,2,8,6,5,7,3,4] => [1,2,7,3,6,8,5,4] => [1,2,7,3,8,6,4,5] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[4,2,1,3,6,7,8,5] => [2,4,1,3,8,6,7,5] => [4,2,1,3,6,7,8,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[7,2,6,5,4,1,8,3] => [4,5,6,7,8,1,3,2] => [8,7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,6,3,7,1,4] => [7,5,8,1,6,3,2,4] => [6,8,5,3,7,2,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,3,1,2,6,7,8,5] => [3,1,4,2,8,6,7,5] => [4,1,3,2,6,7,8,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[8,1,6,5,7,3,2,4] => [8,3,7,2,6,1,5,4] => [3,7,6,1,8,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,8,5,6,3,7,2,4] => [1,7,6,2,8,5,3,4] => [1,7,8,3,6,2,5,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,7,6,5,4,2,8,3] => [1,4,5,6,7,8,3,2] => [1,8,7,4,5,6,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,5,6,8,2] => [4,8,7,1,3,5,6,2] => [8,4,7,3,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,1,5,6,8,3] => [4,2,7,8,3,5,6,1] => [2,8,7,4,1,3,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,4,1,2,8,3] => [4,1,6,7,5,8,2,3] => [7,1,5,4,8,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,7,6,1,5,2,8,3] => [6,5,7,4,3,8,2,1] => [5,7,4,8,1,6,2,3] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,7,6,4,5,2,8,3] => [1,5,8,6,4,7,2,3] => [1,8,5,6,2,7,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,1,6,5,7,2,4] => [8,7,3,2,6,1,5,4] => [3,6,7,1,8,5,2,4] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[7,5,6,4,2,1,8,3] => [2,4,6,8,7,5,3,1] => [8,2,6,4,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,2,5,1,8,3] => [5,6,8,7,2,4,1,3] => [8,7,5,6,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,3,5,7,8,2] => [6,8,4,1,3,5,7,2] => [6,4,7,3,1,2,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[8,2,3,6,5,7,1,4] => [7,8,2,1,6,3,5,4] => [7,6,1,3,8,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,4,7,2,5,1,6,8] => [5,7,3,4,2,1,6,8] => [4,3,5,7,1,2,6,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,4,7,2,5,8,3,6] => [1,7,8,4,2,3,5,6] => [1,7,4,8,3,5,6,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,2,7,6,5,1,4,8] => [5,3,2,1,6,7,4,8] => [3,7,1,2,5,6,4,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[2,3,8,6,4,1,5,7] => [4,2,3,6,1,8,5,7] => [2,3,8,4,1,6,5,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,3,6,2,5,1,8,7] => [5,6,4,3,2,1,8,7] => [5,4,6,1,2,3,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[7,8,3,2,5,1,4,6] => [5,3,8,1,2,4,7,6] => [5,7,3,2,4,1,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[7,8,1,2,5,6,3,4] => [8,1,6,3,2,5,7,4] => [6,1,7,2,4,3,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[2,1,8,6,4,7,3,5] => [2,1,7,6,3,8,4,5] => [2,1,7,8,4,6,5,3] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,8,3,6,7,4,5,2] => [1,5,8,7,4,3,6,2] => [1,8,5,7,2,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,8,7,2,3,6,4] => [5,7,2,6,1,3,8,4] => [8,5,1,6,4,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,1,4,2,3,8] => [7,4,2,1,6,5,3,8] => [4,6,1,3,7,2,5,8] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[6,8,5,1,3,4,2,7] => [5,4,1,3,8,6,2,7] => [4,6,2,1,5,8,3,7] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,3,7,4,8,2,5,6] => [1,8,3,7,2,5,4,6] => [1,3,7,8,4,2,6,5] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[5,8,7,6,3,1,2,4] => [3,1,6,2,5,7,8,4] => [5,1,3,2,8,6,7,4] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[7,5,6,8,1,4,3,2] => [8,3,4,1,7,5,6,2] => [3,7,4,2,8,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,2,7,8,5,4,3,6] => [1,2,4,5,8,3,7,6] => [1,2,7,4,5,3,8,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[6,3,1,2,8,4,5,7] => [3,1,6,8,4,2,5,7] => [8,1,3,6,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,6,5,8,7] => [2,4,1,3,6,5,8,7] => [4,2,1,3,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[3,4,6,1,5,8,7,2] => [6,7,3,4,1,5,8,2] => [4,3,6,8,2,1,7,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[7,5,1,6,4,3,8,2] => [5,7,4,8,6,2,1,3] => [6,5,8,4,7,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,8,1,6,3,4,7,2] => [8,7,6,3,5,1,4,2] => [5,6,7,1,8,4,2,3] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[5,6,1,7,4,8,2,3] => [6,8,2,7,5,1,4,3] => [7,5,1,6,8,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,5,6,1,7,4,8,3] => [6,2,8,7,5,1,4,3] => [2,7,5,6,8,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,1,7,5,6,4,8,2] => [3,8,1,6,7,5,4,2] => [6,3,2,8,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,1,7,8,5,3,4,2] => [6,4,5,3,8,1,7,2] => [4,7,6,1,5,3,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[2,6,5,7,3,4,8,1] => [8,2,7,3,6,5,4,1] => [2,6,7,1,8,3,4,5] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,6,4,7,5,8,2,3] => [1,8,2,6,7,4,5,3] => [1,6,2,8,7,4,3,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[8,5,3,6,2,7,4,1] => [4,7,6,5,8,1,3,2] => [8,4,6,7,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,4,8,2,3] => [1,8,2,5,6,7,4,3] => [1,5,2,8,6,7,3,4] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[8,1,6,5,7,2,4,3] => [8,7,4,2,6,1,5,3] => [4,6,7,2,8,5,1,3] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,2,7,6,8,3,4,5] => [1,2,8,3,4,7,6,5] => [1,2,7,3,4,8,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,1,7,5,6,8,3,4] => [2,1,8,3,7,5,6,4] => [2,1,7,3,8,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[3,8,6,4,2,7,5,1] => [5,4,3,7,6,8,1,2] => [3,5,8,4,7,6,2,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[7,8,5,2,4,6,3,1] => [3,6,5,1,8,4,7,2] => [7,3,6,2,5,1,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,8,6,3,7,4,5,1] => [5,2,6,8,3,7,4,1] => [2,8,6,5,3,7,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,8,1,6,2,4,5,3] => [8,6,5,2,4,1,7,3] => [5,6,7,2,1,4,8,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[5,4,7,1,8,3,2,6] => [7,3,8,5,4,2,1,6] => [5,7,3,8,1,2,6,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[3,7,4,1,8,5,2,6] => [4,7,3,5,8,1,2,6] => [4,3,8,7,5,2,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,7,1,4,8,3,2,5] => [7,3,8,1,2,6,4,5] => [6,7,3,2,4,8,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[2,7,1,8,4,5,3,6] => [7,2,5,8,4,3,1,6] => [2,7,8,5,1,3,6,4] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,1,4,3,8,2,7] => [5,6,4,2,8,3,1,7] => [6,4,8,2,5,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => [1,8,6,2,4,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,1,3,7,2,6,4] => [5,8,2,7,6,4,3,1] => [8,5,1,6,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,2,8,3,6,7] => [1,4,5,8,3,2,6,7] => [1,8,5,4,2,3,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,5,8,2,7] => [3,4,6,8,1,5,2,7] => [8,6,3,4,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,8,4,5,2,1] => [2,5,3,8,4,7,6,1] => [3,2,7,5,1,8,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[2,7,6,8,5,3,4,1] => [4,2,5,3,8,7,6,1] => [2,7,4,1,5,8,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,7,6,8,5,4,2,3] => [1,4,2,5,8,7,6,3] => [1,7,2,4,5,8,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,4,8,6,7,5,2,3] => [1,5,2,4,7,8,6,3] => [1,4,2,8,5,7,3,6] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,4,8,6,7,3,5,1] => [5,2,7,4,3,8,6,1] => [2,5,4,8,1,7,3,6] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,3,8,5,4,6,2,1] => [2,6,7,5,8,4,3,1] => [7,2,6,8,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,4,8,5,6,7,2,1] => [2,7,3,4,8,5,6,1] => [3,2,4,8,7,1,5,6] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[6,3,5,8,4,7,2,1] => [2,7,6,8,3,5,4,1] => [7,2,8,6,3,1,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,4,2,8,7,3,6,1] => [6,4,5,7,3,2,8,1] => [5,8,6,4,1,2,7,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,5,8,7,3,4,1] => [4,6,7,3,2,5,8,1] => [8,6,4,1,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,5,7,4,6,1] => [6,3,2,7,8,4,5,1] => [3,8,1,7,6,4,2,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,7,5,6,2,4] => [1,6,3,2,7,5,8,4] => [1,3,8,2,6,4,7,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,1,8,7,4,6,3,5] => [2,1,6,7,3,4,8,5] => [2,1,8,6,4,5,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,8,5,7,6,2,4] => [3,6,1,2,7,8,4,5] => [8,3,2,1,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,8,7,4,2,3] => [6,4,2,7,1,5,8,3] => [6,8,1,4,3,2,7,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,6,7,4,3,2,1] => [2,3,4,7,5,8,6,1] => [5,2,3,4,8,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,8,7,5,6,3,2,1] => [2,3,6,4,7,5,8,1] => [4,2,3,8,6,1,7,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,2,1,6,3,5,8,7] => [2,4,6,1,3,5,8,7] => [6,2,4,3,1,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,2,1,4,3,5,8,7] => [2,6,4,1,3,5,8,7] => [4,2,6,3,1,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[6,2,1,4,3,8,5,7] => [2,6,4,1,8,3,5,7] => [4,2,8,3,6,5,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,2,1,4,3,6,5,7] => [2,8,4,1,6,3,5,7] => [4,2,6,3,8,5,1,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[2,1,6,4,3,5,8,7] => [2,1,4,6,3,5,8,7] => [2,1,6,4,3,5,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,6,1,4,3,5,8,7] => [6,2,4,1,3,5,8,7] => [2,4,6,3,1,5,8,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[2,6,4,1,3,5,8,7] => [4,2,1,6,3,5,8,7] => [2,6,1,4,3,5,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,6,2,1,3,5,8,7] => [2,6,1,4,3,5,8,7] => [4,2,1,6,3,5,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[6,4,2,1,3,5,8,7] => [2,4,1,6,3,5,8,7] => [6,2,1,4,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[8,4,2,1,3,6,5,7] => [2,4,1,8,6,3,5,7] => [6,2,1,4,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,4,2,1,8,3,5,7] => [2,4,6,8,1,3,5,7] => [8,2,6,4,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,4,3,8,5,7] => [6,2,4,1,8,3,5,7] => [2,4,8,3,6,5,1,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,1,6,4,3,8,5,7] => [2,1,4,6,8,3,5,7] => [2,1,8,4,6,5,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,8,4,3,6,5,7] => [2,1,4,8,6,3,5,7] => [2,1,6,4,8,5,3,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[2,8,1,4,3,6,5,7] => [8,2,4,1,6,3,5,7] => [2,4,6,3,8,5,1,7] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[2,8,4,1,3,6,5,7] => [4,2,1,8,6,3,5,7] => [2,6,1,4,8,5,3,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,8,2,1,3,6,5,7] => [2,8,1,4,6,3,5,7] => [4,2,1,6,8,5,3,7] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[6,8,2,1,4,3,5,7] => [2,8,4,1,3,6,5,7] => [4,2,6,3,1,8,5,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[8,6,2,1,4,3,5,7] => [2,6,4,1,3,8,5,7] => [4,2,8,3,1,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[2,6,4,1,8,3,5,7] => [4,2,6,8,1,3,5,7] => [2,8,6,4,3,5,1,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,8,1,3,5,7] => [8,2,1,6,3,4,5,7] => [2,6,1,8,4,5,3,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,6,2,8,1,3,5,7] => [8,6,1,4,3,2,5,7] => [4,6,2,8,1,5,3,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[8,2,4,1,6,3,5,7] => [4,8,6,2,3,1,5,7] => [8,4,6,2,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,4,6,3,5,7] => [2,8,6,1,3,4,5,7] => [6,2,8,3,4,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,2,1,4,8,3,5,7] => [2,6,8,1,3,4,5,7] => [8,2,6,3,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,6,3,8,5,7] => [2,4,6,1,8,3,5,7] => [8,2,4,3,6,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,6,8,5,7] => [2,4,1,3,8,6,5,7] => [4,2,1,3,6,8,5,7] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[2,1,4,3,8,6,5,7] => [2,1,4,3,6,8,5,7] => [2,1,4,3,8,6,5,7] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,4,1,3,8,6,5,7] => [4,2,1,3,6,8,5,7] => [2,4,1,3,8,6,5,7] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[4,2,1,3,8,6,5,7] => [2,4,1,3,6,8,5,7] => [4,2,1,3,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,2,1,8,3,6,5,7] => [2,4,8,1,6,3,5,7] => [6,2,4,3,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,2,1,8,6,3,5,7] => [2,4,6,1,3,8,5,7] => [8,2,4,3,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,8,4,3,5,7] => [2,6,4,8,3,1,5,7] => [6,2,8,4,1,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,1,6,4,3,5,7] => [2,8,4,6,3,1,5,7] => [4,2,8,6,1,5,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,2,8,1,3,6,5,7] => [8,4,1,2,6,3,5,7] => [4,6,2,3,8,5,1,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[2,4,8,1,3,6,5,7] => [8,2,1,4,6,3,5,7] => [2,4,1,6,8,5,3,7] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[2,4,1,8,3,6,5,7] => [4,2,8,1,6,3,5,7] => [2,6,4,3,8,5,1,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,1,4,8,3,6,5,7] => [2,1,8,4,6,3,5,7] => [2,1,4,6,8,5,3,7] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,4,8,6,3,5,7] => [2,1,6,4,3,8,5,7] => [2,1,4,8,3,6,5,7] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,4,8,6,1,3,5,7] => [6,2,1,4,3,8,5,7] => [2,4,1,8,3,6,5,7] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,2,8,6,1,3,5,7] => [6,4,1,2,3,8,5,7] => [4,8,2,3,1,6,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,2,8,4,1,3,5,7] => [4,8,2,6,3,1,5,7] => [8,4,1,6,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,4,1,3,5,7] => [4,6,2,8,3,1,5,7] => [8,6,1,4,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,2,1,3,5,7] => [2,8,1,6,3,4,5,7] => [6,2,1,8,4,5,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,6,8,2,1,3,5,7] => [2,8,1,4,3,6,5,7] => [4,2,1,6,3,8,5,7] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[2,6,8,4,1,3,5,7] => [4,2,1,8,3,6,5,7] => [2,6,1,4,3,8,5,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[2,6,8,1,4,3,5,7] => [8,2,4,1,3,6,5,7] => [2,4,6,3,1,8,5,7] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[2,1,6,8,4,3,5,7] => [2,1,4,8,3,6,5,7] => [2,1,6,4,3,8,5,7] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[2,1,8,6,4,3,5,7] => [2,1,4,6,3,8,5,7] => [2,1,8,4,3,6,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,8,6,4,1,3,5,7] => [4,2,1,6,3,8,5,7] => [2,8,1,4,3,6,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,6,2,1,3,5,7] => [2,6,1,4,3,8,5,7] => [4,2,1,8,3,6,5,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[6,8,4,2,1,3,5,7] => [2,4,1,8,3,6,5,7] => [6,2,1,4,3,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,2,6,1,5,4,8,7] => [6,3,2,5,1,4,8,7] => [3,5,1,6,4,2,8,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[5,2,4,3,8,1,7,6] => [8,5,4,2,3,7,1,6] => [4,5,7,2,1,8,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[6,2,4,1,5,3,8,7] => [4,6,5,2,1,3,8,7] => [6,4,5,2,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,3,6,1,5,2,8,7] => [6,5,4,3,1,2,8,7] => [4,5,6,1,3,2,8,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[4,3,5,2,8,1,7,6] => [8,5,4,3,2,7,1,6] => [4,5,7,1,2,8,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[4,3,7,2,6,5,8,1] => [8,7,4,3,6,2,5,1] => [4,6,7,1,8,3,2,5] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[4,3,8,2,6,1,7,5] => [6,8,4,3,7,2,1,5] => [6,4,8,1,7,3,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,3,8,1,7,2,6,5] => [8,7,4,3,6,2,1,5] => [4,6,7,1,8,3,5,2] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[4,3,8,1,5,2,7,6] => [8,5,4,3,1,7,2,6] => [4,5,7,1,3,8,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[5,4,8,1,3,2,7,6] => [8,3,1,5,4,7,2,6] => [3,5,2,7,1,8,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[2,1,5,4,8,3,7,6] => [2,1,8,5,4,7,3,6] => [2,1,5,7,3,8,6,4] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[4,3,7,6,8,1,5,2] => [8,5,4,3,1,7,6,2] => [4,5,7,1,3,8,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[4,3,6,5,8,1,7,2] => [8,7,4,3,6,5,1,2] => [4,6,7,1,8,2,5,3] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[6,3,5,4,7,2,8,1] => [8,7,6,5,3,4,2,1] => [5,6,7,8,2,1,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[6,3,5,4,8,1,7,2] => [8,7,6,5,3,4,1,2] => [5,6,7,8,2,1,4,3] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[7,1,6,3,8,4,5,2] => [7,5,6,8,4,1,3,2] => [6,8,7,5,1,4,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,4,6,5,8,1,3,2] => [8,3,1,7,6,4,5,2] => [3,6,2,7,8,4,1,5] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[2,1,8,4,6,3,7,5] => [2,1,6,8,7,4,3,5] => [2,1,8,6,7,4,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,4,6,1,3,2,7,5] => [6,3,1,8,7,4,2,5] => [3,8,2,6,7,4,5,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,3,4,2,7,5] => [8,4,6,3,7,1,2,5] => [4,8,6,1,7,5,3,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,3,7,2,5,4] => [8,7,6,5,2,1,3,4] => [5,6,7,8,3,4,2,1] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[8,3,5,1,7,2,6,4] => [5,7,8,6,3,2,1,4] => [8,6,5,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,2,6,1,7,4] => [6,5,8,7,3,2,1,4] => [7,8,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,5,2,6,4,8,1] => [8,5,7,6,3,2,4,1] => [5,8,6,7,2,3,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,2,6,3,5,1,7,4] => [5,8,6,7,3,2,1,4] => [8,5,7,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,1,5,3,6,4] => [7,8,5,6,1,3,2,4] => [6,5,8,7,4,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,4,1,5,3,7,6] => [4,8,5,2,1,7,3,6] => [7,4,5,2,3,8,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,2,4,1,7,3,6,5] => [4,8,7,2,6,3,1,5] => [7,4,6,2,8,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,2,8,4,6,1,7,5] => [6,3,2,8,7,4,1,5] => [3,8,1,6,7,4,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,8,1,5,4,7,6] => [8,3,2,5,1,7,4,6] => [3,5,1,7,4,8,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[3,2,7,6,8,1,5,4] => [8,3,2,5,1,7,6,4] => [3,5,1,7,4,8,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[3,2,7,1,8,5,6,4] => [7,3,2,6,8,5,1,4] => [3,7,1,8,6,2,5,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[3,2,6,5,8,1,7,4] => [8,3,2,7,6,5,1,4] => [3,6,1,7,8,2,5,4] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[6,5,7,2,4,3,8,1] => [8,7,4,2,6,5,3,1] => [4,6,7,2,8,1,3,5] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[6,5,8,2,4,1,7,3] => [4,8,7,2,6,5,1,3] => [7,4,6,2,8,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,2,4,1,8,5,6,3] => [4,7,6,2,8,5,1,3] => [8,4,7,2,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,2,4,1,5,3] => [4,8,5,2,1,7,6,3] => [7,4,5,2,3,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,6,8,1,5,2,4,3] => [8,5,4,2,1,7,6,3] => [4,5,7,2,3,8,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[7,1,3,2,8,5,6,4] => [7,3,1,6,8,5,2,4] => [3,7,2,8,6,1,5,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[7,1,8,5,6,2,4,3] => [7,6,4,2,8,5,1,3] => [4,7,8,2,6,1,5,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,1,8,2,6,4,5,3] => [7,8,5,6,4,2,1,3] => [6,5,8,7,1,3,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,2,8,1,5,4,6,3] => [8,7,6,5,1,4,2,3] => [5,6,7,8,4,1,3,2] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[6,2,7,4,5,3,8,1] => [8,6,5,7,4,2,3,1] => [5,7,8,6,1,3,2,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[5,4,7,2,6,3,8,1] => [8,7,6,5,4,2,3,1] => [5,6,7,8,1,3,2,4] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[5,4,8,2,6,1,7,3] => [6,8,7,5,4,2,1,3] => [7,5,6,8,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,5,8,1,7,2,4,3] => [8,7,4,2,6,5,1,3] => [4,6,7,2,8,1,5,3] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[2,1,6,5,8,3,7,4] => [2,1,8,7,6,5,3,4] => [2,1,6,7,8,3,5,4] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[6,5,7,4,8,1,3,2] => [8,3,1,7,6,5,4,2] => [3,6,2,7,8,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[6,5,7,1,8,3,4,2] => [7,4,8,3,6,5,1,2] => [6,7,4,1,8,2,5,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[6,1,7,4,8,3,5,2] => [6,5,8,7,3,1,4,2] => [7,8,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,4,7,1,8,3,6,2] => [7,6,8,5,4,3,1,2] => [6,7,5,8,1,2,4,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,4,6,3,8,1,7,2] => [8,7,6,5,4,3,1,2] => [5,6,7,8,1,2,4,3] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[2,1,4,3,6,5,8,7,11,12,10,9] => [2,1,4,3,6,5,8,7,10,12,11,9] => [2,1,4,3,6,5,8,7,11,10,12,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[2,1,4,3,6,5,9,10,8,7,12,11] => [2,1,4,3,6,5,8,10,9,7,12,11] => [2,1,4,3,6,5,9,8,10,7,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[2,1,4,3,7,8,6,5,10,9,12,11] => [2,1,4,3,6,8,7,5,10,9,12,11] => [2,1,4,3,7,6,8,5,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,7,8,6,5,11,12,10,9] => [2,1,4,3,6,8,7,5,10,12,11,9] => [2,1,4,3,7,6,8,5,11,10,12,9] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[2,1,5,6,4,3,8,7,10,9,12,11] => [2,1,4,6,5,3,8,7,10,9,12,11] => [2,1,5,4,6,3,8,7,10,9,12,11] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,5,6,4,3,8,7,11,12,10,9] => [2,1,4,6,5,3,8,7,10,12,11,9] => [2,1,5,4,6,3,8,7,11,10,12,9] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[2,1,5,6,4,3,9,10,8,7,12,11] => [2,1,4,6,5,3,8,10,9,7,12,11] => [2,1,5,4,6,3,9,8,10,7,12,11] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[3,4,2,1,6,5,8,7,10,9,12,11] => [2,4,3,1,6,5,8,7,10,9,12,11] => [3,2,4,1,6,5,8,7,10,9,12,11] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,4,2,1,6,5,8,7,11,12,10,9] => [2,4,3,1,6,5,8,7,10,12,11,9] => [3,2,4,1,6,5,8,7,11,10,12,9] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[3,4,2,1,6,5,9,10,8,7,12,11] => [2,4,3,1,6,5,8,10,9,7,12,11] => [3,2,4,1,6,5,9,8,10,7,12,11] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[3,4,2,1,7,8,6,5,10,9,12,11] => [2,4,3,1,6,8,7,5,10,9,12,11] => [3,2,4,1,7,6,8,5,10,9,12,11] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[3,4,2,1,7,8,6,5,11,12,10,9] => [2,4,3,1,6,8,7,5,10,12,11,9] => [3,2,4,1,7,6,8,5,11,10,12,9] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[2,8,3,1,5,4,6,7] => [3,2,8,5,1,4,6,7] => [2,5,3,8,4,1,6,7] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,4,8,3,5,7,6,1] => [6,2,7,4,1,8,5,3] => [2,7,4,8,3,6,1,5] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,2,5,3,1,8,6,7] => [3,5,4,1,2,8,6,7] => [5,3,4,2,1,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,4,1,3,8,2,6,7] => [4,5,2,8,3,1,6,7] => [8,5,1,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,3,2,6,7] => [1,3,4,8,5,2,6,7] => [1,5,3,4,8,2,6,7] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,8,5,4,3,2,6,7] => [1,3,4,5,8,2,6,7] => [1,8,3,4,5,2,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,3,8,5,2,6] => [1,5,4,8,7,3,2,6] => [1,5,8,4,7,2,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,8,1,5,7,3,6,2] => [8,6,7,4,1,3,5,2] => [4,7,6,8,3,2,1,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[8,1,5,3,7,4,6,2] => [8,6,5,7,1,4,3,2] => [5,7,8,6,4,1,2,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,6,8,5,3,7,4,2] => [1,4,7,5,8,6,2,3] => [1,7,4,6,5,8,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,8,1,7,4,3,5,2] => [8,5,4,7,3,6,1,2] => [4,6,7,5,1,8,3,2] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[6,4,8,1,7,3,5,2] => [8,5,7,6,3,4,1,2] => [5,8,6,7,2,1,4,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,3,8,2,5] => [4,6,1,7,2,8,3,5] => [8,7,2,4,3,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,6,3,2,8,4] => [1,3,6,8,7,5,2,4] => [1,8,3,6,7,2,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,8,5,3,6] => [2,4,5,1,8,3,7,6] => [7,2,4,3,5,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,6,8,4,3,7,5,1] => [5,2,4,7,8,6,1,3] => [2,6,7,4,5,8,3,1] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[6,2,4,8,3,7,5,1] => [5,7,6,3,8,4,1,2] => [8,6,7,1,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,3,4,1,8,5] => [4,7,6,3,8,2,1,5] => [8,4,7,1,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,3,6,2,4,5] => [7,6,1,2,4,3,8,5] => [6,8,2,3,1,5,7,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,1,7,3,5,6,4] => [2,8,7,6,3,5,1,4] => [6,2,7,8,3,1,5,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,8,2,6,3,1,5,4] => [3,6,8,5,2,1,7,4] => [6,5,3,7,2,4,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,2,8,7,4,5,6,3] => [1,2,6,7,4,5,8,3] => [1,2,8,6,3,4,7,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,3,7,1,5,6,2,4] => [7,6,8,2,1,5,3,4] => [7,8,6,2,4,1,5,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,6,2,7,4,5,3] => [8,6,5,7,4,1,2,3] => [5,7,8,6,1,4,3,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,8,5,2,6,7,4,3] => [1,5,4,8,7,3,6,2] => [1,5,8,4,7,2,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,2,1,8,6,7,4,3] => [2,5,4,7,1,8,6,3] => [5,2,8,4,3,7,1,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,8,1,6,4,2,5,3] => [8,4,6,5,3,1,7,2] => [4,7,5,6,1,3,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,8,6,1,5,3,2,4] => [6,3,5,2,1,8,7,4] => [3,7,5,1,4,6,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[7,3,8,6,1,5,2,4] => [6,5,8,2,3,7,1,4] => [6,8,5,2,3,7,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,6,1,5,3,4,2] => [6,4,5,3,1,7,8,2] => [4,8,5,1,3,6,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,1,6,4,5,3,2] => [7,3,5,6,4,1,8,2] => [3,8,5,6,1,4,7,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,6,7,5,4,3,2] => [1,3,4,5,7,8,6,2] => [1,8,3,4,5,7,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,2,1,4,8,7] => [2,5,6,1,3,4,8,7] => [6,2,5,3,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[8,5,2,7,4,3,1,6] => [3,4,7,5,8,1,2,6] => [8,4,3,7,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,6,1,2,8,7] => [6,1,5,4,3,2,8,7] => [4,1,5,6,2,3,8,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[5,7,4,6,3,8,2,1] => [2,8,6,7,5,4,3,1] => [5,2,7,6,8,1,3,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[8,1,4,7,3,6,2,5] => [8,6,7,1,2,3,4,5] => [6,8,7,3,4,5,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,4,7,5,1,2,6] => [5,1,7,2,8,3,4,6] => [8,1,7,3,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,4,7,3,2,6] => [5,3,8,2,7,1,4,6] => [5,8,3,1,7,4,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,3,7,1,4,2,6] => [7,4,5,1,8,2,3,6] => [4,8,7,3,5,2,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,1,8,5,7,4,3,6] => [2,1,4,7,8,3,5,6] => [2,1,8,4,7,5,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,4,7,8,3,2] => [5,3,6,2,8,4,7,1] => [6,7,3,1,5,2,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[5,1,4,6,8,3,7,2] => [5,7,8,1,4,6,3,2] => [7,6,5,3,1,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,7,1,3,5,8,6,2] => [7,6,1,4,3,8,5,2] => [4,7,2,8,1,6,3,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,8,3,7,1,2,6,5] => [7,1,8,4,6,2,3,5] => [6,1,4,7,8,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,8,1,2,5,7,6,4] => [8,1,3,6,2,7,5,4] => [3,1,6,8,4,7,2,5] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[8,7,2,6,4,1,3,5] => [4,6,2,7,3,1,8,5] => [8,6,1,4,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,8,4,2,3,1] => [3,4,2,8,5,7,6,1] => [5,3,1,4,7,8,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[2,6,7,5,4,8,1,3] => [8,2,1,5,7,6,4,3] => [2,5,1,7,6,8,3,4] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[6,1,7,4,5,8,2,3] => [6,8,2,7,4,1,5,3] => [8,6,1,7,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,5,1,8,2,4] => [5,8,7,2,3,6,1,4] => [7,5,6,2,3,8,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,1,6,7,5,8,3,4] => [2,1,8,3,7,6,5,4] => [2,1,6,3,7,8,4,5] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[5,7,3,6,1,2,8,4] => [6,1,7,8,5,3,2,4] => [7,1,6,5,8,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,1,7,2,5,6,8,3] => [4,7,8,1,2,5,6,3] => [8,7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,1,6,5,8,3] => [7,2,8,4,6,1,5,3] => [2,6,4,7,8,5,1,3] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,6,2,1,8,7,5,3] => [2,6,5,4,7,1,8,3] => [4,2,6,8,5,3,7,1] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[4,6,1,2,5,8,7,3] => [6,1,7,4,2,5,8,3] => [6,1,4,8,3,2,7,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,6,1,4,8,2,7,3] => [6,8,7,1,5,4,2,3] => [7,5,6,3,8,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,5,6,4,7,1,8,2] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[3,4,6,1,5,7,8,2] => [6,8,3,4,1,5,7,2] => [4,3,6,7,2,1,8,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[3,8,2,7,6,1,5,4] => [6,7,3,5,2,8,1,4] => [5,3,7,8,2,6,4,1] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[3,8,2,7,6,5,1,4] => [5,6,3,1,7,8,2,4] => [7,3,8,2,5,6,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,2,7,6,5,4,1] => [4,5,3,6,7,8,1,2] => [7,3,8,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,8,7,2,6,5,3,1] => [3,5,6,4,7,2,8,1] => [6,4,3,8,5,1,7,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,7,2,6,5,1,3] => [5,6,2,4,7,1,8,3] => [6,4,1,8,5,3,7,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,7,3,2,1,6,5] => [2,3,7,4,6,1,8,5] => [4,2,3,6,8,5,7,1] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[4,8,7,3,2,6,5,1] => [5,3,6,4,7,1,8,2] => [4,6,3,8,5,2,7,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[4,8,7,3,6,2,5,1] => [5,6,7,4,2,3,8,1] => [6,5,4,8,2,1,7,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,7,3,6,1,5,2] => [6,5,7,4,1,3,8,2] => [5,6,4,8,3,1,7,2] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[4,8,7,3,6,5,1,2] => [5,1,6,4,7,2,8,3] => [6,1,4,8,5,3,7,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,7,3,6,5,2,1] => [2,5,6,4,7,1,8,3] => [6,2,4,8,5,3,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,8,7,6,3,1,4,2] => [3,6,4,2,5,7,8,1] => [5,3,4,1,8,6,7,2] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,7,6,3,2,4,1] => [4,3,6,2,5,7,8,1] => [4,5,3,1,8,6,7,2] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[5,8,7,6,2,4,3,1] => [3,4,6,1,5,7,8,2] => [5,4,3,2,8,6,7,1] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,7,6,2,1,4,3] => [2,6,4,1,5,7,8,3] => [4,2,5,3,8,6,7,1] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[5,8,7,6,4,2,3,1] => [3,4,2,6,5,7,8,1] => [5,3,1,4,8,6,7,2] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,7,6,4,2,1,3] => [2,4,1,6,5,7,8,3] => [5,2,1,4,8,6,7,3] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,7,6,4,1,3,2] => [4,3,1,6,5,7,8,2] => [3,5,2,4,8,6,7,1] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[5,8,7,6,4,3,1,2] => [3,1,4,6,5,7,8,2] => [5,1,3,4,8,6,7,2] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[7,3,5,2,6,4,1,8] => [4,6,5,7,1,3,2,8] => [7,5,6,4,3,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,3,5,2,7,4,8,1] => [8,5,6,7,3,2,4,1] => [5,8,7,6,2,3,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,4,5,7,3,2,8,6] => [1,3,7,4,5,8,2,6] => [1,4,3,5,8,7,6,2] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,4,6,7,3,8,2,5] => [1,8,7,4,2,6,3,5] => [1,4,6,7,3,8,5,2] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[3,2,1,5,7,4,8,6] => [2,3,1,7,5,8,4,6] => [3,2,1,5,8,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[5,4,6,7,1,8,3,2] => [7,3,8,5,4,6,1,2] => [5,6,3,7,1,8,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,5,6,7,8,3,2,4] => [1,3,8,2,5,6,7,4] => [1,5,3,2,6,7,8,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[5,3,6,2,7,8,4,1] => [4,8,6,5,1,3,7,2] => [7,4,5,6,3,1,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,3,4,2,1,7,8,5] => [2,4,6,3,8,1,7,5] => [7,2,4,1,6,5,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,3,4,1,2,7,8,6] => [4,1,5,3,2,8,7,6] => [5,1,4,2,3,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,4,6,7,2,8,5,3] => [1,7,5,4,8,6,2,3] => [1,4,6,7,5,8,3,2] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,5,6,7,8,2,4,3] => [1,8,4,2,5,6,7,3] => [1,4,5,3,6,7,8,2] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[3,4,6,7,1,8,5,2] => [7,5,3,4,8,6,1,2] => [3,4,6,7,5,8,2,1] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[4,3,6,1,7,8,5,2] => [6,5,4,3,8,1,7,2] => [4,6,7,1,5,3,8,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[2,4,6,7,1,8,5,3] => [7,2,5,4,8,6,1,3] => [2,4,6,7,5,8,3,1] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[2,5,6,7,8,1,4,3] => [8,2,4,1,5,6,7,3] => [2,4,5,3,6,7,8,1] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[2,4,1,3,6,5,8,7,9] => [4,2,1,3,6,5,8,7,9] => [2,4,1,3,6,5,8,7,9] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[2,3,1,5,4,7,6,9,8] => [3,2,1,5,4,7,6,9,8] => [2,3,1,5,4,7,6,9,8] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,4,1,3,6,5,8,7,10,9] => [4,2,1,3,6,5,8,7,10,9] => [2,4,1,3,6,5,8,7,10,9] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,4,6,1,3,5,8,7,9] => [6,2,1,4,3,5,8,7,9] => [2,4,1,6,3,5,8,7,9] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[2,3,1,5,4,7,6,9,8,10] => [3,2,1,5,4,7,6,9,8,10] => [2,3,1,5,4,7,6,9,8,10] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,4,3,6,2,5,7,8] => [1,6,4,3,2,5,7,8] => [1,4,6,2,3,5,7,8] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,4,3,7,2,5,6,8] => [1,7,4,3,2,5,6,8] => [1,4,7,2,3,5,6,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,4,3,7,6,8,2,5] => [1,8,4,3,2,7,6,5] => [1,4,7,2,3,8,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,4,3,7,5,8,2,6] => [1,8,4,3,7,2,5,6] => [1,4,7,2,8,5,6,3] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,4,3,7,2,6,5,8] => [1,7,4,3,6,2,5,8] => [1,4,6,2,7,5,3,8] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,3,2,6,5,8,4,7] => [1,3,2,8,6,5,4,7] => [1,3,2,6,8,4,5,7] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,5,4,8,3,7,2,6] => [1,7,8,5,4,2,3,6] => [1,7,5,8,2,4,6,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,2,3,6,5,8,4,7] => [1,2,3,8,6,5,4,7] => [1,2,3,6,8,4,5,7] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[6,8,2,4,5,7,1,3] => [7,8,1,2,4,6,5,3] => [7,6,2,3,1,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,7,8,4,5,2,6,1] => [6,5,3,8,4,2,7,1] => [3,6,7,5,1,2,8,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[7,8,1,4,5,3,6,2] => [8,6,5,1,4,3,7,2] => [5,6,7,3,1,2,8,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[3,8,7,4,1,6,5,2] => [4,7,3,5,6,2,8,1] => [4,3,8,5,6,1,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,8,3,6,1,5,7,2] => [6,7,8,4,1,3,5,2] => [7,6,4,8,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,3,1,6,4,7,2] => [3,8,7,6,5,2,4,1] => [6,3,5,7,8,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,1,8,3,6,2,5,4] => [7,6,8,5,2,3,1,4] => [6,7,5,8,3,2,4,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,2,8,4,1,6,5,3] => [4,8,7,5,6,2,3,1] => [8,4,5,6,7,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,3,6,5,1,4] => [5,6,7,2,8,1,3,4] => [8,7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,3,6,1,5,4] => [6,7,8,5,1,3,2,4] => [7,6,5,8,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,2,8,1,3,5,4,7] => [8,6,1,5,3,2,4,7] => [5,6,2,8,3,4,1,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[3,1,6,4,2,8,5,7] => [3,4,1,6,8,2,5,7] => [8,3,2,4,6,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,8,5,1,4,7] => [5,2,8,3,6,1,4,7] => [2,8,5,1,6,4,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,3,8,4,7,6] => [1,2,5,8,3,7,4,6] => [1,2,7,5,4,8,6,3] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,4,8,1,3,7,6,5] => [8,2,1,4,6,7,3,5] => [2,4,1,6,8,7,5,3] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[2,4,8,3,7,1,6,5] => [7,2,8,4,6,1,3,5] => [2,6,4,7,8,5,3,1] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[2,4,8,3,7,6,1,5] => [6,2,7,4,3,8,1,5] => [2,7,4,8,1,6,5,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,5,4,1,3,8,7,6] => [4,2,1,5,3,7,8,6] => [2,5,1,4,3,8,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[3,1,5,4,8,2,7,6] => [3,8,1,5,4,7,2,6] => [5,3,2,7,1,8,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[5,3,1,4,8,2,7,6] => [3,5,8,2,4,7,1,6] => [7,5,3,1,2,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,8,2,3,7,1,6,5] => [7,8,2,4,6,1,3,5] => [6,4,1,7,8,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,8,1,2,3,7,6,5] => [8,1,2,4,6,7,3,5] => [4,1,2,6,8,7,5,3] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,4,8,2,3,7,6,5] => [1,8,2,4,6,7,3,5] => [1,4,2,6,8,7,5,3] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,4,8,3,7,2,6,5] => [1,7,8,4,6,2,3,5] => [1,6,4,7,8,5,3,2] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[5,3,8,1,2,4,7,6] => [8,1,5,2,3,7,4,6] => [5,1,7,3,4,8,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,1,3,8,2,4,7,6] => [5,8,1,2,3,7,4,6] => [7,5,2,3,4,8,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,5,3,8,2,4,7,6] => [1,8,5,2,3,7,4,6] => [1,5,7,3,4,8,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,4,8,1,2,7,6,3] => [8,1,6,5,4,7,2,3] => [5,1,6,8,2,7,4,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[6,5,1,2,8,7,4,3] => [5,1,4,6,7,3,8,2] => [6,1,8,4,5,2,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,1,6,2,8,7,4,3] => [5,6,4,7,1,2,8,3] => [6,5,8,4,3,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,2,6,1,8,7,3,5] => [6,4,7,2,3,1,8,5] => [6,8,4,2,1,5,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,5,2,8,7,1,4,6] => [7,5,3,1,2,4,8,6] => [3,5,8,2,4,1,7,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,4,8,7,1,2,6,5] => [7,1,3,4,6,2,8,5] => [3,1,4,6,8,5,7,2] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[3,4,8,1,7,2,6,5] => [8,7,3,4,6,2,1,5] => [3,4,6,7,8,2,5,1] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[3,4,8,2,7,1,6,5] => [7,8,3,4,6,1,2,5] => [4,3,6,7,8,5,2,1] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[4,2,5,8,1,7,6,3] => [8,4,6,2,5,7,1,3] => [4,6,5,2,8,7,3,1] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[3,1,4,2,5,8,7,6] => [3,4,1,2,5,7,8,6] => [4,3,2,1,5,8,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[2,3,5,1,8,7,6,4] => [5,2,3,6,1,7,8,4] => [2,3,8,5,4,6,7,1] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[7,8,1,5,4,2,6,3] => [8,4,5,6,1,3,7,2] => [4,7,6,5,3,1,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,8,3,5,4,1,6,2] => [4,5,6,8,1,2,7,3] => [7,6,5,4,3,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,3,6,2,4,7,1,8] => [7,6,5,2,3,4,1,8] => [5,6,7,2,3,1,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[6,4,2,1,7,3,8,5] => [2,4,6,7,8,3,1,5] => [8,2,7,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,5,8,6,1,2] => [6,1,4,3,8,7,2,5] => [4,1,8,2,6,7,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,2,7,1,8,3,6,5] => [7,4,8,2,6,3,1,5] => [6,7,4,2,8,3,5,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[3,1,6,7,4,8,5,2] => [3,5,1,8,7,6,2,4] => [7,3,2,5,6,8,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,7,6,5,3,8,4,2] => [1,4,8,5,6,7,2,3] => [1,8,4,5,6,7,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,5,3,8,1,4] => [8,2,5,1,6,7,3,4] => [2,5,8,3,6,7,4,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,7,6,5,3,1,4,8] => [3,2,5,1,6,7,4,8] => [2,7,3,1,5,6,4,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,7,6,5,1,8,3,2] => [5,3,6,4,7,8,1,2] => [4,7,3,8,5,6,2,1] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,7,6,5,2,8,3,4] => [1,5,6,3,7,8,2,4] => [1,8,7,2,5,6,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,5,3,2,8,4] => [1,3,5,6,7,8,2,4] => [1,8,3,7,5,6,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,5,1,2,8,3] => [5,1,6,4,7,8,2,3] => [7,1,4,8,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,6,5,3,1,8,2] => [3,5,6,4,7,8,2,1] => [7,4,3,8,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,2,6,3,4,1,7,8] => [4,5,6,3,2,1,7,8] => [6,5,4,1,2,3,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,2,6,3,4,8,7,5] => [1,2,6,3,7,4,8,5] => [1,2,8,3,6,5,7,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,4,2,8,3,5,7] => [6,4,8,1,3,2,5,7] => [6,8,4,3,1,5,2,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,1,8,2,6,3,5,7] => [4,8,6,1,3,2,5,7] => [8,4,6,3,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,1,5,3,6,8] => [2,7,5,4,1,3,6,8] => [4,2,5,7,3,1,6,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[4,7,1,6,2,3,8,5] => [7,6,2,4,8,1,3,5] => [4,7,1,8,6,5,3,2] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,2,6,7,4,8,5,3] => [1,2,5,8,7,6,3,4] => [1,2,7,5,6,8,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[3,2,8,5,4,6,1,7] => [6,3,2,5,8,4,1,7] => [3,6,1,8,5,2,4,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[4,7,1,2,5,3,8,6] => [7,1,5,4,2,8,3,6] => [4,1,5,8,3,7,6,2] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,7,6,5,8,2,4,3] => [1,8,4,2,6,7,5,3] => [1,4,6,3,8,7,2,5] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[6,3,2,1,7,4,8,5] => [2,3,6,7,8,1,4,5] => [8,2,3,7,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,1,3,7,6,4] => [5,8,1,6,2,7,3,4] => [8,5,2,6,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,4,1,3,8,6] => [4,2,1,5,7,8,3,6] => [2,8,1,4,5,7,6,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,2,1,8,6] => [2,3,4,5,7,8,1,6] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,2,1,7,6,4] => [2,3,5,8,6,7,4,1] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,6,2,7,4,3] => [8,6,4,7,5,1,2,3] => [4,6,7,5,8,3,2,1] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[5,8,3,2,7,1,6,4] => [7,3,8,6,5,1,2,4] => [5,6,3,7,8,4,2,1] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,8,5,7,4,3,6,2] => [1,6,4,7,8,3,5,2] => [1,7,8,4,6,3,2,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[3,8,6,1,7,2,5,4] => [6,8,3,5,1,7,2,4] => [5,3,6,8,4,7,2,1] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[7,2,8,5,6,1,4,3] => [6,7,4,1,8,5,2,3] => [7,4,8,3,6,1,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,7,5,8,2,1,4] => [2,8,6,1,7,3,5,4] => [6,2,8,3,7,5,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,6,5,8,4,1,3,7] => [4,2,1,8,6,5,3,7] => [2,6,1,4,8,3,5,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[8,2,4,7,1,3,6,5] => [7,8,1,2,6,3,4,5] => [7,6,2,3,8,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,2,5,8,1,4,3,7] => [8,6,4,1,2,5,3,7] => [4,6,8,3,2,1,5,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,3,6,8,2,1,5,7] => [2,8,4,3,1,6,5,7] => [4,2,6,1,3,8,5,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[6,3,5,1,8,4,2,7] => [5,4,8,6,2,1,3,7] => [6,8,4,5,2,3,1,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,1,5,7,3,6,2] => [4,8,6,7,2,1,5,3] => [8,4,7,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,5,8,3,1,7] => [3,8,4,6,1,5,2,7] => [8,3,4,6,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,7,8,3,4] => [2,5,6,1,8,3,7,4] => [7,2,6,3,5,4,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,7,2,5,8,6,3,1] => [3,6,8,4,2,7,5,1] => [6,4,3,8,1,7,2,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,3,1,8,4,7,5,2] => [3,6,5,7,8,2,1,4] => [8,3,7,6,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,8,7,3,5,1] => [5,4,6,7,2,3,8,1] => [6,8,5,4,2,1,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,5,3,8,7,4,1,2] => [4,1,7,5,6,2,8,3] => [8,1,4,5,6,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,1,7,3,6,4] => [8,5,7,6,2,3,1,4] => [5,8,6,7,3,2,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,7,3,8,1,6,4,2] => [8,4,6,7,5,1,2,3] => [4,7,6,5,8,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,4,7,8,1,5,3,2] => [8,3,5,6,1,4,7,2] => [3,7,5,6,4,1,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[8,3,7,6,1,5,4,2] => [6,4,5,7,2,8,1,3] => [5,8,7,4,2,6,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,4,8,7,6,1,3,5] => [6,2,1,4,3,7,8,5] => [2,4,1,8,3,6,7,5] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,5,8,7,2,6,1,4] => [6,7,3,1,5,2,8,4] => [5,3,6,2,8,4,7,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[4,8,7,6,2,5,3,1] => [3,5,6,4,1,7,8,2] => [5,4,3,8,2,6,7,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,8,7,6,5,1,4,2] => [5,4,3,1,6,7,8,2] => [3,4,8,2,5,6,7,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[2,8,7,6,5,4,1,3] => [4,2,1,5,6,7,8,3] => [2,8,1,4,5,6,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,2,5,6,7,8,9] => [4,1,3,2,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [6,2,3,4,5,1,7,8,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[3,4,1,2,5,6,7,8,9,10] => [4,1,3,2,5,6,7,8,9,10] => [3,1,4,2,5,6,7,8,9,10] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,5,1,2,4,8,7] => [5,1,3,2,6,4,8,7] => [3,1,6,2,5,4,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[3,7,5,8,2,4,1,6] => [4,8,3,2,7,1,5,6] => [4,3,7,1,8,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[3,8,5,7,2,4,1,6] => [4,7,3,2,8,1,5,6] => [4,3,8,1,7,5,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,1,7,8,4,3,2,6] => [5,3,4,8,1,2,7,6] => [3,7,5,4,2,1,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,2,6,5,3,8,7] => [4,1,5,2,6,3,8,7] => [6,1,4,3,5,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,1,5,7,8,3,2,6] => [4,3,8,1,5,2,7,6] => [4,5,3,2,7,1,8,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[4,1,5,8,7,3,2,6] => [4,3,7,1,5,2,8,6] => [4,5,3,2,8,1,7,6] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[4,7,1,8,3,6,2,5] => [7,6,8,4,2,3,1,5] => [6,7,4,8,2,3,5,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[4,1,7,8,5,2,3,6] => [4,5,2,1,8,3,7,6] => [7,4,1,3,5,2,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,1,7,4,8,2,3,6] => [5,8,2,7,1,3,4,6] => [8,5,1,7,4,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,8,7,3,4,6] => [2,1,7,3,5,4,8,6] => [2,1,5,3,8,4,7,6] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[6,1,2,3,7,5,8,4] => [6,1,2,8,7,3,5,4] => [8,1,2,6,7,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,4,3,7,2,5] => [8,7,4,1,2,6,3,5] => [4,6,7,3,2,8,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[8,7,3,2,4,1,6,5] => [4,3,7,2,6,1,8,5] => [4,6,3,1,8,5,7,2] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[2,1,7,3,4,8,6,5] => [2,1,7,3,6,8,4,5] => [2,1,7,3,8,6,5,4] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[8,1,2,3,7,5,6,4] => [8,1,2,6,7,5,3,4] => [6,1,2,8,7,3,5,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,1,2,3,6,5,7,4] => [8,1,2,7,6,3,5,4] => [6,1,2,7,8,5,3,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,1,8,5,4,3,2,6] => [7,3,4,5,8,2,1,6] => [3,8,4,7,5,1,6,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,7,1,4,2,6,5] => [7,4,3,1,6,2,8,5] => [3,4,6,2,8,5,7,1] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[3,6,8,1,4,2,7,5] => [8,4,3,1,7,6,2,5] => [3,4,6,2,7,8,5,1] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[3,5,7,8,2,4,1,6] => [4,8,3,2,5,1,7,6] => [4,3,5,1,7,2,8,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[3,6,7,1,4,2,8,5] => [7,4,3,1,8,6,2,5] => [3,4,7,2,6,8,5,1] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[5,8,3,7,1,4,2,6] => [7,4,8,1,5,2,3,6] => [5,7,4,3,8,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[2,1,7,3,4,6,8,5] => [2,1,7,3,8,4,6,5] => [2,1,8,3,7,5,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,7,2,4,3,6,1,5] => [6,7,4,2,1,3,8,5] => [6,4,8,2,3,5,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,2,3,8,7,4,5] => [6,1,2,7,4,3,8,5] => [8,1,2,6,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,5,8,7,4] => [6,1,2,7,3,5,8,4] => [8,1,2,6,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,4,3,1,7,5] => [3,4,6,1,8,7,5,2] => [8,4,3,2,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,2,4,8,1,5] => [8,3,6,2,1,7,4,5] => [3,8,6,1,4,7,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,3,4,8,7,5] => [2,1,6,3,7,4,8,5] => [2,1,8,3,6,5,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[7,6,2,4,3,1,8,5] => [3,4,6,1,7,8,5,2] => [8,4,3,2,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,5,7,8,4] => [6,1,2,8,3,5,7,4] => [7,1,2,6,4,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,1,2,3,6,8,7,4] => [5,1,2,7,3,6,8,4] => [6,1,2,5,4,8,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,2,8,5,4,7,3,6] => [1,2,7,5,8,3,4,6] => [1,2,7,8,5,4,6,3] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[7,5,1,2,4,3,6,8] => [5,1,4,2,7,3,6,8] => [4,1,7,3,5,2,6,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[6,8,1,4,7,2,3,5] => [8,7,2,1,3,6,4,5] => [6,7,1,3,4,8,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,6,3,8,5,4,2,7] => [1,4,5,8,6,3,2,7] => [1,8,5,4,6,2,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,1,7,3,5,4,2] => [8,4,5,7,2,6,1,3] => [4,7,6,5,2,8,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[7,2,1,4,6,3,5,8] => [2,7,6,1,3,4,5,8] => [6,2,7,3,4,5,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[7,2,3,6,5,1,4,8] => [5,6,1,2,7,3,4,8] => [7,6,2,3,5,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,6,2,3,8,5,4,7] => [1,6,2,5,8,3,4,7] => [1,6,2,8,5,4,3,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,2,8,1,7,3,5,4] => [8,6,7,5,3,2,1,4] => [5,7,6,8,2,3,4,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[6,8,2,1,7,4,3,5] => [2,8,4,7,3,6,1,5] => [4,2,7,6,1,8,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[2,4,8,7,6,5,1,3] => [5,2,1,4,6,7,8,3] => [2,4,1,8,5,6,7,3] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,2,8,7,6,3,5,1] => [5,4,6,2,3,7,8,1] => [5,8,4,2,1,6,7,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,2,8,7,6,5,3,1] => [3,5,4,1,6,7,8,2] => [8,3,4,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,6,5,3,2] => [4,3,5,1,6,7,8,2] => [4,8,3,2,5,6,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,8,7,2,5,4] => [3,6,7,5,1,2,8,4] => [6,5,3,8,4,2,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,8,3,7,6,1,4,2] => [6,4,7,3,5,8,1,2] => [5,7,4,1,8,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,1,3,8,7,6,2,4] => [5,6,1,2,3,7,8,4] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,8,7,6,2,4] => [1,6,5,2,3,7,8,4] => [1,5,8,3,4,6,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,5,8,4,7,2,6,3] => [1,7,6,8,5,2,4,3] => [1,6,7,5,8,4,2,3] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,1,8,4,7,2,6,3] => [5,7,6,8,1,2,4,3] => [8,6,7,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,1,2,4,7,3] => [5,1,8,3,7,6,4,2] => [7,1,5,2,6,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,6,3,1,2,4,8,7] => [3,1,6,2,5,4,8,7] => [5,1,3,2,6,4,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[5,6,1,2,4,3,8,7] => [6,1,4,2,5,3,8,7] => [4,1,5,3,6,2,8,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[4,5,8,1,7,2,6,3] => [8,7,6,4,5,2,1,3] => [4,5,6,7,8,2,3,1] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[4,3,6,1,2,8,5,7] => [6,1,4,3,8,2,5,7] => [4,1,8,2,6,5,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,2,5,8,7,1,6,4] => [7,3,2,6,5,1,8,4] => [3,5,1,6,8,4,7,2] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[3,1,4,8,7,6,2,5] => [3,6,1,4,2,7,8,5] => [4,3,2,8,1,6,7,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,4,8,7,6,5,1,2] => [5,1,3,4,6,7,8,2] => [3,1,4,8,5,6,7,2] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[7,1,4,8,2,6,5,3] => [7,8,5,1,6,2,4,3] => [6,5,8,3,7,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,3,7,8,2,6,5,4] => [1,8,3,5,6,2,7,4] => [1,3,5,7,6,4,8,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[8,1,2,6,7,3,5,4] => [8,1,7,5,3,2,6,4] => [5,1,7,8,3,4,2,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[8,1,2,6,7,5,3,4] => [8,1,5,3,7,2,6,4] => [5,1,8,2,7,4,3,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,2,5,7,1,3,6,4] => [7,8,1,6,2,3,5,4] => [7,6,2,8,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,8,3,4,1,7,5,2] => [4,5,7,2,8,6,1,3] => [7,6,4,2,5,8,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,6,8,3,7,5,1,4] => [5,2,7,3,8,6,1,4] => [2,7,6,1,5,8,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,8,1,6,7,5,3,4] => [8,2,5,3,7,1,6,4] => [2,5,8,1,7,4,3,6] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,2,5,7,1,6,3,4] => [7,8,6,3,2,1,5,4] => [7,6,8,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,7,2,3,6,1,5] => [6,7,2,8,1,3,4,5] => [8,7,1,6,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,2,6,1,3] => [6,4,1,7,8,2,5,3] => [7,8,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,2,4,7,1,6,3] => [7,5,8,3,6,1,4,2] => [6,8,5,1,7,4,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,3,5,7,1,6,4] => [7,8,2,6,3,1,5,4] => [7,6,1,8,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,4,7,3,6,1,5] => [6,8,7,2,1,3,4,5] => [8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,3,6,2,5] => [7,6,1,8,2,3,4,5] => [7,8,2,6,4,5,3,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,8,7,1,3,6,2,4] => [7,6,1,2,5,3,8,4] => [5,6,2,3,8,4,7,1] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[8,5,4,7,1,2,6,3] => [7,1,6,5,8,2,4,3] => [6,1,7,8,5,4,2,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,5,1,4,7,2,6,3] => [5,8,7,2,6,3,4,1] => [8,5,6,2,7,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,3,1,7,4,2] => [3,6,4,7,8,5,2,1] => [8,3,7,4,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,8,1,7,4,3] => [8,6,4,7,5,2,1,3] => [4,6,7,5,8,2,3,1] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[5,8,7,3,6,1,2,4] => [6,1,7,2,5,3,8,4] => [6,1,5,3,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,3,5,7,1,6,2,4] => [7,6,8,2,3,1,5,4] => [7,8,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,6,8,3,7,5,2,4] => [1,5,7,3,8,6,2,4] => [1,7,6,2,5,8,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,8,4,2,7,1,5,3] => [7,4,8,5,1,6,3,2] => [5,7,4,6,3,8,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[8,4,2,5,7,1,6,3] => [7,4,8,6,3,1,5,2] => [6,8,4,7,1,5,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,4,7,2,6,1,5] => [6,7,8,3,1,2,4,5] => [8,7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,3,4,6,2,5] => [7,6,1,3,2,4,8,5] => [6,8,2,1,4,5,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,3,4,5,1,6,2] => [5,6,7,3,4,1,8,2] => [8,6,5,1,2,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,5,2,6,1,3] => [6,5,1,7,4,2,8,3] => [6,8,2,5,1,4,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,7,2,3,6,1,4] => [6,7,2,1,5,3,8,4] => [6,5,1,3,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,7,2,3,6,1,4,5] => [6,7,2,1,4,3,8,5] => [8,6,1,3,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,8,5,4,7,6] => [1,3,2,5,8,7,4,6] => [1,3,2,7,5,8,6,4] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[5,2,1,8,4,3,7,6] => [2,5,4,8,1,7,3,6] => [5,2,7,4,3,8,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[7,3,4,8,2,1,6,5] => [2,8,7,3,6,1,4,5] => [6,2,7,1,8,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,3,4,1,8,2,7,6] => [4,8,5,3,1,7,2,6] => [7,4,5,1,3,8,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,1,5,4,3,2,7,6] => [8,3,4,5,1,7,2,6] => [3,7,4,5,2,8,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[4,5,3,2,8,7,1,6] => [7,3,5,4,2,1,8,6] => [3,5,4,8,1,2,7,6] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[4,1,7,3,2,6,5,8] => [4,3,7,1,6,2,5,8] => [4,6,3,2,7,5,1,8] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[5,7,3,2,6,4,8,1] => [8,3,7,6,5,2,4,1] => [3,6,5,7,8,2,1,4] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[6,7,3,2,5,4,1,8] => [4,3,5,7,1,6,2,8] => [5,6,3,4,2,7,1,8] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[7,6,3,2,1,5,4,8] => [2,3,6,5,1,7,4,8] => [5,2,3,7,4,6,1,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[4,6,5,7,2,8,1,3] => [8,7,1,4,6,5,2,3] => [4,6,2,7,8,1,5,3] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[5,6,4,7,2,8,3,1] => [3,8,7,6,5,4,1,2] => [6,3,5,7,8,1,4,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,5,4,6,2,1,8,3] => [2,6,8,5,7,4,1,3] => [7,2,5,8,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,5,7,1,8,2,3] => [7,8,2,6,4,5,1,3] => [7,6,1,8,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,1,5,6,7,2,3,4] => [8,7,2,3,1,5,6,4] => [7,8,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,1,4,6,8,7,3,5] => [2,1,7,4,3,6,8,5] => [2,1,4,6,3,8,7,5] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[3,4,6,8,7,1,2,5] => [7,1,3,4,2,6,8,5] => [3,1,4,6,2,8,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[4,3,1,6,8,7,2,5] => [3,4,7,2,1,6,8,5] => [6,4,3,1,2,8,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[7,3,5,8,6,2,1,4] => [2,6,8,3,1,7,5,4] => [8,2,6,1,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,5,6,3,1,4] => [3,6,7,2,8,5,1,4] => [8,7,3,1,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,5,1,7,3,4] => [5,8,6,1,7,3,2,4] => [8,5,7,3,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,8,6,7,3,5] => [2,4,7,1,3,8,6,5] => [8,2,4,3,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,8,6,7,4,5] => [1,3,2,7,4,8,6,5] => [1,3,2,8,4,7,5,6] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,3,8,6,7,1,4,5] => [7,2,3,1,4,8,6,5] => [2,3,8,1,4,7,5,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,1,3,2,6,7,4,5] => [8,3,1,7,4,2,6,5] => [3,7,2,8,1,5,4,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,2,8,7,6,4,1,3] => [4,6,2,5,1,7,8,3] => [8,4,1,5,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,8,6,5,4,3] => [2,7,4,5,6,8,1,3] => [4,2,8,5,7,6,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,3,6,1,8,5,4,2] => [6,4,5,8,7,3,1,2] => [5,8,7,4,6,1,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,5,7,6,2,4,3] => [8,6,4,2,1,7,5,3] => [4,6,8,2,3,7,1,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,5,7,6,8,3,1,2] => [3,1,8,4,5,7,6,2] => [4,1,3,5,7,8,2,6] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[6,5,1,7,4,3,8,2] => [5,6,4,8,7,2,1,3] => [7,5,8,4,6,2,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,6,7,5,3,8,1,2] => [8,1,5,4,7,6,3,2] => [4,1,5,7,6,8,2,3] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[8,1,7,6,5,4,3,2] => [8,3,4,5,6,7,1,2] => [3,8,4,5,6,7,2,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,3,1,5,2,4,6] => [3,7,5,1,2,4,8,6] => [8,3,5,2,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,7,2,4,6,8] => [3,5,7,1,2,4,6,8] => [7,5,3,2,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,7,1,2,4,5,3,6] => [7,1,5,2,4,3,8,6] => [5,1,8,3,2,4,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,5,1,2,6,7,3,4] => [5,1,8,2,7,3,6,4] => [8,1,5,3,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,2,5,7,3,4] => [6,1,8,2,3,7,5,4] => [8,1,6,3,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,2,5,4,3,6] => [7,1,4,5,2,3,8,6] => [4,1,8,5,3,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,1,5,8,2,6,3,4] => [7,8,6,3,1,2,5,4] => [7,6,8,1,4,5,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,4,2,3,8,7,5,6] => [1,4,2,3,7,5,8,6] => [1,4,2,3,8,5,7,6] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[6,1,2,4,8,7,5,3] => [6,1,5,2,7,4,8,3] => [6,1,8,3,5,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,1,2,4,6,8,5,3] => [7,1,5,2,8,4,6,3] => [7,1,8,3,5,2,4,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,1,2,6,8,5,3,4] => [7,1,5,3,8,2,6,4] => [7,1,8,2,5,4,3,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,7,1,8,4,2,6,3] => [7,4,8,6,5,3,1,2] => [5,7,4,6,8,1,3,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[7,1,5,3,2,8,6,4] => [7,3,5,6,1,8,2,4] => [3,8,5,7,4,6,2,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,5,2,8,6,3] => [7,5,6,1,4,8,2,3] => [5,8,7,3,1,6,4,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,7,3,1,5,8,6,2] => [3,7,6,4,2,8,5,1] => [7,3,4,8,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,3,7,1,2,6,4,5] => [7,1,8,6,4,2,3,5] => [7,1,6,8,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,1,2,8,4,7,5,6] => [3,1,2,8,7,5,4,6] => [3,1,2,7,8,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[3,1,7,2,6,4,5,8] => [3,7,1,6,4,2,5,8] => [6,3,2,7,1,5,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6] => [1,4,2,3,7,8,6,5] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[3,1,8,6,4,7,5,2] => [3,5,1,7,6,8,2,4] => [8,3,2,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,8,7,3,5,4] => [6,1,7,5,3,2,8,4] => [6,1,5,8,3,4,7,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,2,3,5,8,4,7,6] => [1,2,3,8,5,7,4,6] => [1,2,3,5,7,8,6,4] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,3,5,8,6,4,7] => [1,2,3,6,5,8,4,7] => [1,2,3,5,8,6,4,7] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[3,1,8,7,6,4,5,2] => [3,5,1,6,4,7,8,2] => [8,3,2,5,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,7,4,6,5,3] => [8,1,5,6,7,3,2,4] => [5,1,8,7,6,3,4,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,2,3,5,8,7,4,6] => [1,2,3,7,5,4,8,6] => [1,2,3,5,8,4,7,6] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,3,6,8,5,4,7] => [1,2,3,5,8,6,4,7] => [1,2,3,6,5,8,4,7] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[7,8,5,6,3,1,4,2] => [3,6,4,2,8,5,7,1] => [7,3,4,1,6,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,5,3,6,1,2,4] => [6,1,5,2,8,3,7,4] => [6,1,7,3,5,4,8,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[7,5,8,3,1,4,2,6] => [3,8,4,2,7,1,5,6] => [7,3,4,1,8,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,8,5,3,1,6,2,4] => [3,5,8,2,6,1,7,4] => [7,5,3,1,6,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,5,3,1,6,4,2] => [3,5,4,8,6,1,7,2] => [7,3,5,4,6,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,5,3,6,4,1,2] => [4,1,6,5,8,2,7,3] => [7,1,4,6,5,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,5,3,4,1,6,2] => [4,6,5,3,8,1,7,2] => [7,4,6,1,5,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,5,3,1,2,6,4] => [3,1,5,8,6,4,7,2] => [7,1,3,5,6,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,5,8,3,4,1,6,2] => [4,6,8,3,7,1,5,2] => [8,6,4,1,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,3,4,1,8,2] => [4,8,6,3,7,5,1,2] => [8,4,6,1,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,1,2,8,4] => [6,1,5,7,8,4,2,3] => [7,1,8,6,5,2,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,5,3,4,1,2,8,6] => [4,1,5,3,7,8,2,6] => [8,1,4,2,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,1,4,2,6,8] => [3,5,4,2,7,1,6,8] => [7,3,4,1,5,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,3,1,4,2,8,6] => [3,5,4,2,7,8,1,6] => [8,3,4,1,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,1,6,4,8,2] => [3,5,7,8,6,1,2,4] => [8,6,3,5,7,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,1,4,8,2] => [6,8,5,1,7,3,4,2] => [7,5,8,3,6,2,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,5,3,6,4,1,8,2] => [4,6,8,5,7,1,2,3] => [8,5,4,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,4,8,1,2] => [8,1,5,7,6,4,3,2] => [5,1,8,6,7,2,3,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,5,3,8,4,6,1,2] => [6,1,5,7,8,3,4,2] => [7,1,8,6,5,3,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,5,3,8,1,4,6,2] => [8,6,5,1,7,4,3,2] => [5,7,8,3,6,1,2,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,5,3,1,8,4,6,2] => [3,5,7,6,8,2,1,4] => [8,6,3,7,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,1,8,2,4,6] => [3,5,7,2,8,4,1,6] => [8,7,3,1,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,1,6,2,4,8] => [3,5,7,2,6,1,4,8] => [7,5,3,1,6,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,3,1,6,4,2,8] => [3,5,4,7,6,1,2,8] => [7,3,5,4,6,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,3,8,1,6,4,2] => [8,4,6,5,7,1,2,3] => [4,8,5,7,6,3,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,8,6,4,1,2] => [4,1,6,5,8,7,3,2] => [8,1,4,6,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,3,6,1,4,2] => [6,4,8,1,7,3,5,2] => [6,8,4,3,7,2,1,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,5,8,6,3,1,2,4] => [3,1,6,2,8,7,4,5] => [8,1,3,2,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,6,3,1,4,2] => [3,6,4,2,8,7,1,5] => [8,3,4,1,6,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,6,3,4,1,2] => [4,1,6,3,8,7,2,5] => [8,1,4,2,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,3,8,1,2,4] => [8,1,6,2,7,5,3,4] => [6,1,8,3,7,2,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,5,3,4,1,8,2,6] => [4,8,5,3,7,2,1,6] => [8,4,5,1,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,3,1,8,2,4] => [3,6,8,1,7,5,2,4] => [8,6,3,2,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,3,1,8,4,2] => [3,6,4,8,7,5,2,1] => [8,3,6,4,7,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,3,8,4,1,2] => [4,1,8,6,7,5,2,3] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,8,4,1,2] => [4,1,8,5,7,2,6,3] => [8,1,4,5,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,8,1,4,2] => [8,4,5,1,7,3,6,2] => [4,8,5,3,7,1,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,1,8,4,2] => [6,4,8,5,7,2,1,3] => [5,8,4,7,6,2,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,4,6,2,8] => [3,5,7,1,6,4,2,8] => [7,5,3,2,6,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,3,1,2,8,6,4] => [3,1,5,7,6,8,4,2] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,1,4,8,6,2] => [3,5,7,1,6,8,4,2] => [8,5,3,2,7,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,4,1,8,6,2] => [4,6,5,2,8,7,1,3] => [8,4,6,2,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,1,4,6,8,2] => [3,5,7,1,8,4,6,2] => [8,7,3,2,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,3,2,7,6,1] => [6,3,7,5,4,8,1,2] => [5,7,3,8,1,6,4,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[6,4,5,3,2,1,8,7] => [2,3,5,6,4,1,8,7] => [6,2,3,5,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,5,8,3,2,7,6,1] => [6,3,7,4,5,8,1,2] => [4,5,3,7,8,6,2,1] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[4,7,6,3,8,5,2,1] => [2,5,8,4,6,7,1,3] => [5,2,4,8,6,7,3,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,8,4,3,2,7,6,1] => [6,3,4,7,5,8,1,2] => [3,7,5,4,8,6,2,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[5,3,2,8,4,7,6,1] => [6,3,5,7,2,8,1,4] => [3,8,7,5,2,6,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,8,4,7,6,3] => [2,1,6,7,5,8,3,4] => [2,1,7,5,8,6,4,3] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[5,3,2,7,4,8,6,1] => [6,3,5,8,2,7,1,4] => [3,8,6,5,2,7,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,3,2,8,6,1] => [6,3,5,4,8,7,1,2] => [3,6,4,8,5,7,2,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[4,6,8,3,7,5,2,1] => [2,5,7,4,8,6,1,3] => [6,2,4,7,5,8,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[2,1,8,6,7,5,4,3] => [2,1,4,5,7,8,6,3] => [2,1,8,4,5,7,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,3,2,6,7,5,4,1] => [4,3,5,7,8,2,6,1] => [7,8,3,4,5,1,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,7,6,4,3,2,1] => [2,3,4,6,7,8,1,5] => [8,2,3,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,6,5,2,1] => [2,5,6,7,8,4,1,3] => [8,2,7,6,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,6,7,5,4,1] => [4,5,3,7,8,2,6,1] => [7,3,8,4,5,1,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,7,2,8,6,5,4,1] => [4,5,3,6,8,7,1,2] => [6,3,8,4,5,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,6,2,8,7,5,4,1] => [4,5,3,7,6,2,8,1] => [5,3,8,4,6,1,7,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,4,7,3,8,5,2,1] => [2,5,8,7,6,1,4,3] => [8,2,5,6,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,3,7,5,2,1] => [2,5,7,8,6,1,4,3] => [8,2,6,5,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,5,4,8,6,1] => [6,3,8,5,1,7,4,2] => [5,6,3,8,4,7,1,2] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[2,1,7,5,4,8,6,3] => [2,1,6,5,8,7,3,4] => [2,1,6,8,5,7,4,3] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[7,3,2,8,6,5,4,1] => [4,3,5,6,8,7,1,2] => [6,8,3,4,5,7,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,8,4,3,6,5,2,1] => [2,5,4,6,8,1,7,3] => [6,2,7,4,5,3,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[6,8,5,7,4,3,2,1] => [2,3,4,7,8,6,5,1] => [7,2,3,4,6,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,4,3,8,5,2,1] => [2,5,4,8,7,6,1,3] => [5,2,7,4,6,8,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,4,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[2,3,4,5,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[2,3,4,5,6,1,7,8,9] => [6,2,3,4,5,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,3,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[2,3,4,5,6,7,9,8,1] => [8,2,3,4,5,6,7,9,1] => [2,3,4,5,6,7,9,8,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[4,6,8,3,5,7,1,2] => [7,1,8,4,3,6,5,2] => [6,1,4,7,2,8,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,8,1,2,4,5,7,3] => [8,1,7,2,4,6,5,3] => [6,1,7,3,2,8,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[3,5,8,2,4,7,1,6] => [7,8,3,2,5,1,4,6] => [5,3,7,1,8,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[8,3,5,2,4,1,6,7] => [4,5,8,2,3,1,6,7] => [8,5,4,2,1,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,8,4,7,3,5] => [2,1,7,8,3,6,4,5] => [2,1,7,6,4,8,5,3] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,2,5,8,3,6,7,4] => [1,2,8,7,5,3,6,4] => [1,2,5,7,8,4,3,6] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[5,3,6,8,4,7,1,2] => [7,1,5,8,3,6,4,2] => [6,1,7,5,3,8,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,4,3,8,2,6,7,5] => [1,8,4,3,7,2,6,5] => [1,4,7,2,8,5,3,6] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[5,4,8,3,2,1,6,7] => [2,3,8,5,4,1,6,7] => [5,2,3,8,1,4,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,6,3,2,1,8,5,7] => [2,3,6,4,8,1,5,7] => [4,2,3,8,6,5,1,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,1,7,3,2,5,8,6] => [4,3,7,1,2,8,5,6] => [4,8,3,2,1,7,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,8,2,6,5] => [3,4,8,2,6,1,7,5] => [6,4,3,1,7,5,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[7,5,1,4,8,2,6,3] => [5,7,8,2,6,3,4,1] => [8,6,5,2,7,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,7,6,3,1,2] => [3,1,6,7,5,8,2,4] => [7,1,3,5,8,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,7,1,4,2,6,3] => [7,4,6,1,5,2,8,3] => [4,6,5,3,8,2,7,1] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[4,8,3,1,7,2,6,5] => [3,8,7,4,6,1,2,5] => [6,3,4,7,8,5,2,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,8,4,3,5,2,7,6] => [1,5,4,8,3,7,2,6] => [1,5,7,4,2,8,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,7,3,6,5,2,1,8] => [2,5,6,4,7,1,3,8] => [6,2,4,7,5,3,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[6,4,8,7,5,3,1,2] => [3,1,5,7,6,2,8,4] => [8,1,3,5,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,2,8,4,5,3] => [1,6,5,7,2,8,4,3] => [1,7,8,5,4,6,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,5,3,2,7,4,8,6] => [1,3,5,7,2,8,4,6] => [1,8,3,5,4,7,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,3,8,5,6] => [2,4,7,1,8,5,3,6] => [8,2,4,3,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,4,3,1,5,7] => [3,4,8,6,1,2,5,7] => [8,4,3,6,2,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,5,6,1,4] => [6,3,8,1,2,5,7,4] => [6,7,3,2,4,1,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[8,7,6,1,2,4,5,3] => [6,1,5,2,4,7,8,3] => [5,1,8,3,2,6,7,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,3,7,6,2,1,4,5] => [2,6,7,3,4,8,1,5] => [8,2,7,1,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,7,5,1,4,6] => [5,3,2,1,7,4,8,6] => [3,8,1,2,5,4,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,4,1,6,5,3,7] => [4,8,5,2,6,1,3,7] => [8,4,5,2,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,5,6,2,4,3] => [7,6,4,2,1,5,8,3] => [4,6,8,2,3,1,7,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,7,2,8,3,6,5,4] => [1,7,8,5,6,3,2,4] => [1,6,5,8,7,3,4,2] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,7,8,6,5,2,4,3] => [1,5,4,2,6,8,7,3] => [1,4,7,3,5,6,8,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[8,1,7,3,2,6,5,4] => [8,3,7,5,6,2,1,4] => [3,6,5,8,7,2,4,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[5,1,4,3,2,8,7,6] => [5,3,4,1,2,7,8,6] => [3,5,4,2,1,8,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[8,6,3,2,1,7,4,5] => [2,3,6,8,1,7,4,5] => [8,2,3,6,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,1,7,2,3] => [4,5,1,6,8,7,2,3] => [8,6,2,4,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,1,7,3,2,4] => [5,3,6,2,8,7,1,4] => [6,8,3,1,5,7,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,1,7,4,3,2,5] => [6,3,4,8,1,7,2,5] => [3,8,6,4,2,7,5,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,2,7,5,1,8] => [5,3,7,4,6,1,2,8] => [4,5,3,7,6,2,1,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[7,1,5,8,3,2,6,4] => [7,3,8,6,1,2,5,4] => [6,7,3,8,4,5,1,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,7,4,1,8,2,6,3] => [4,7,8,6,5,3,2,1] => [7,5,4,6,8,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,8,7,2,5,4,6,3] => [1,7,6,5,2,4,8,3] => [1,5,6,8,4,2,7,3] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,3,5,6,8,4,2,7] => [1,4,3,8,5,6,2,7] => [1,3,5,4,6,8,2,7] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,6,2,4,8,7,5,3] => [1,6,5,2,7,4,8,3] => [1,6,8,3,5,2,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,4,1,6,7,5,3,2] => [4,3,8,5,7,2,6,1] => [4,8,3,5,7,1,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,8,5,1,2,4] => [5,1,8,3,7,2,6,4] => [8,1,5,2,7,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,7,2,4,1,8] => [4,7,3,2,6,5,1,8] => [4,3,6,1,7,2,5,8] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[4,2,6,3,8,1,5,7] => [8,4,6,2,1,3,5,7] => [4,8,6,2,3,5,1,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,4,1,8,5,7] => [4,6,3,2,8,1,5,7] => [4,3,8,1,6,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,3,8,2,1,6,4,5] => [2,8,7,6,4,1,3,5] => [6,2,7,8,1,5,4,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,7,6,4,1,5,2,3] => [4,6,1,5,2,7,8,3] => [8,4,2,5,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,2,1,5,4,7] => [2,8,3,5,1,6,4,7] => [3,2,5,6,4,8,1,7] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[2,4,8,1,6,5,3,7] => [8,2,5,4,6,1,3,7] => [2,4,5,8,6,3,1,7] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[8,5,7,6,1,4,2,3] => [6,4,2,1,7,8,3,5] => [4,8,1,3,7,6,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,4,6,7,3,5] => [1,8,7,2,3,4,6,5] => [1,7,8,3,4,5,2,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,8,5,4,7,1,3,6] => [7,2,1,5,8,3,4,6] => [2,7,1,8,5,4,6,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,2,5,7,8,4,3,6] => [1,2,4,8,5,3,7,6] => [1,2,5,4,7,3,8,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,2,7,4,8,6,3,5] => [1,2,6,8,4,7,3,5] => [1,2,8,6,3,7,5,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,8,3,6,5,4] => [1,2,8,5,6,3,7,4] => [1,2,5,7,6,4,8,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,8,7,6,3,5,2,4] => [1,5,6,2,3,7,8,4] => [1,8,5,3,4,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,4,6,3,2,5] => [1,3,6,7,2,4,8,5] => [1,8,3,6,4,5,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,8,3,4,6,2] => [7,6,8,3,1,4,5,2] => [7,8,6,1,4,3,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,6,4,5,2,3,8] => [7,5,2,6,4,1,3,8] => [5,7,1,6,2,4,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,1,4,5,6,8,2,3] => [7,8,2,1,4,5,6,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,6,5,8,3,2] => [7,3,8,1,6,4,5,2] => [6,7,3,2,8,4,1,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[7,1,5,4,3,8,2,6] => [7,8,4,5,1,2,3,6] => [5,4,8,7,3,2,6,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,1,3,4,2,6,8,5] => [7,4,1,3,8,2,6,5] => [4,8,2,1,7,5,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,4,6,2,8,3] => [7,6,8,5,1,4,2,3] => [6,7,5,8,4,1,3,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[2,5,1,7,4,3,6,8] => [5,2,4,7,1,3,6,8] => [2,5,7,4,3,1,6,8] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[3,5,1,4,8,6,2,7] => [5,6,3,1,4,8,2,7] => [5,3,8,2,1,6,4,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,3,8,2,4,7,1,5] => [7,8,6,2,1,3,4,5] => [7,6,8,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,4,2,8,5,1,7] => [5,4,8,1,6,2,3,7] => [5,8,4,3,6,2,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,4,7,2,5,8,1,6] => [8,7,3,4,2,1,5,6] => [3,4,7,8,1,5,6,2] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[2,8,3,1,5,6,4,7] => [3,2,8,6,1,5,4,7] => [2,6,3,8,4,1,5,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,3,1,7,6,8,2,5] => [3,4,8,2,1,7,6,5] => [7,4,3,1,2,8,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,4,1,7,5,6,8,2] => [4,8,3,1,7,5,6,2] => [4,3,7,2,8,1,5,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[3,7,4,1,6,2,8,5] => [4,7,3,6,8,2,1,5] => [4,3,8,7,6,2,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,4,7,2,5,3,6,1] => [6,7,5,8,2,3,4,1] => [7,6,8,5,3,2,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,8,6,1,5,3,7,4] => [6,2,5,8,4,7,3,1] => [2,6,8,5,1,7,3,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,5,1,3,4,8,2] => [5,6,1,3,7,8,4,2] => [8,7,2,1,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,4,1,3,8,5] => [4,6,2,7,8,1,3,5] => [8,7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,3,7,2,6,1] => [6,7,5,8,4,2,3,1] => [7,6,8,5,1,3,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,7,5,2,8,1,6,3] => [8,5,7,4,6,1,3,2] => [4,6,5,8,7,3,1,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[7,3,8,4,1,5,2,6] => [4,8,5,7,2,3,1,6] => [8,4,7,5,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,7,2,1,3,4] => [2,7,1,3,8,6,5,4] => [7,2,1,3,6,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,8,5,2,7,1,3,6] => [7,5,1,4,8,3,2,6] => [4,7,2,8,5,1,6,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[6,8,5,3,1,4,2,7] => [3,5,4,2,8,6,1,7] => [6,3,4,1,5,8,2,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,6,5,4,2,8,1,7] => [8,4,3,5,6,2,1,7] => [3,4,8,5,6,1,2,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,6,4,8,2,5,3,7] => [1,8,5,6,2,4,3,7] => [1,5,8,6,4,2,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,5,8,2,4,7,3,6] => [1,8,7,2,5,3,4,6] => [1,5,7,3,8,4,6,2] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,5,7,2,4,8,3,6] => [1,7,8,2,5,3,4,6] => [1,7,5,3,8,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,6,5,7,2,4,3,8] => [1,7,4,2,6,5,3,8] => [1,4,6,3,7,2,5,8] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,6,7,2,4,3,8,5] => [1,7,4,2,8,6,3,5] => [1,4,7,3,6,8,5,2] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,5,7,8,3,2,4,6] => [1,3,8,2,5,4,7,6] => [1,5,3,2,7,4,8,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,5,8,3,2,4,6,7] => [1,3,8,2,5,4,6,7] => [1,5,3,2,8,4,6,7] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,7,3,4,2,8,6,5] => [1,4,7,3,6,8,2,5] => [1,7,4,2,8,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,6,2,4,3,8,7,5] => [1,6,4,2,7,3,8,5] => [1,4,8,3,6,5,7,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,5,8,7,3,2,4,6] => [1,3,7,2,5,4,8,6] => [1,5,3,2,8,4,7,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,4,2,3,5,8,7,6] => [1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,5,2,3,4,8,7,6] => [1,5,2,3,4,7,8,6] => [1,5,2,3,4,8,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,7,4,2,8,6,5,3] => [1,4,7,5,6,8,3,2] => [1,8,4,5,7,6,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,5,2,3,8,4] => [1,5,2,7,8,6,4,3] => [1,7,2,6,5,8,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,7,5,6,2,8,3,4] => [1,6,8,3,7,5,2,4] => [1,8,6,2,7,3,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,8,4,2,3,7,5] => [1,4,2,8,7,6,3,5] => [1,6,2,4,7,8,5,3] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,7,3,5,2,8,4,6] => [1,5,7,8,3,4,2,6] => [1,8,7,5,3,2,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,8,5,2,3,7,4] => [1,5,2,8,7,6,4,3] => [1,7,2,5,6,8,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,4,2,3,7,8,5] => [1,4,2,6,8,3,7,5] => [1,7,2,4,6,5,8,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,6,4,2,3,7,5,8] => [1,4,2,6,7,3,5,8] => [1,7,2,4,6,5,3,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,5,7,3,2,4,8,6] => [1,3,7,2,5,8,4,6] => [1,5,3,2,8,7,6,4] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,6,4,2,3,8,5,7] => [1,4,2,6,8,3,5,7] => [1,8,2,4,6,5,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,1,4,8,2] => [6,8,7,1,3,5,4,2] => [8,6,7,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,6,1,4,8,2] => [6,8,3,1,7,5,4,2] => [6,3,8,2,7,1,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,6,7,4,3,5,8,2] => [1,8,4,7,3,6,5,2] => [1,4,7,6,2,8,3,5] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[6,7,1,4,3,5,8,2] => [7,8,4,1,3,6,5,2] => [6,4,7,3,1,8,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[7,6,1,4,3,5,8,2] => [6,7,4,2,3,8,5,1] => [7,4,8,2,1,6,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,7,1,6,3,5,8,2] => [7,8,6,4,3,1,5,2] => [6,4,7,8,1,5,2,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[6,1,7,4,3,5,8,2] => [6,8,4,7,3,1,5,2] => [7,4,8,6,1,5,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,7,6,4,3,5,8,2] => [1,8,4,6,3,7,5,2] => [1,4,8,6,2,7,3,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,1,6,4,2,7,5,3] => [8,4,6,5,7,1,3,2] => [4,8,5,7,6,3,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,4,1,3,7,2,5,6] => [4,8,2,7,1,5,3,6] => [8,4,1,7,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,3,8,2,5,6] => [4,7,2,8,1,5,3,6] => [8,7,1,4,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,1,2,8,5,6] => [3,1,7,4,8,5,2,6] => [4,1,3,8,7,2,6,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,7,8,1,2,6,5,3] => [8,1,5,4,6,2,7,3] => [4,1,5,7,6,3,8,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[4,8,1,3,7,2,5,6] => [8,7,1,4,2,5,3,6] => [4,7,2,8,3,1,6,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[8,7,1,3,6,2,5,4] => [7,6,1,5,2,3,8,4] => [5,6,2,8,4,3,7,1] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[3,7,8,4,6,2,1,5] => [2,6,3,8,1,4,7,5] => [3,2,7,6,4,5,8,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[2,4,3,7,8,6,1,5] => [6,2,4,3,1,8,7,5] => [2,4,7,1,3,6,8,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[5,7,6,8,3,2,1,4] => [2,3,8,1,5,7,6,4] => [5,2,3,1,7,8,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[8,1,4,3,7,2,5,6] => [8,7,4,1,2,5,3,6] => [4,7,8,3,2,1,6,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[5,7,2,6,3,8,1,4] => [8,7,6,1,5,2,3,4] => [5,6,7,3,8,4,2,1] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[5,7,2,6,8,4,1,3] => [4,8,2,7,5,1,6,3] => [7,4,1,5,8,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,2,5,6,8,4,1,3] => [4,8,2,7,1,5,6,3] => [8,4,1,7,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,7,5,6,1,4] => [6,8,2,1,7,5,3,4] => [8,6,1,3,7,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,3,7,2,5,4] => [6,7,8,5,2,1,3,4] => [7,6,5,8,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,1,8,2,5,6,3] => [7,8,6,4,2,5,1,3] => [6,4,7,8,2,1,5,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[3,7,4,8,5,2,1,6] => [2,5,3,8,7,4,1,6] => [3,2,8,5,7,1,6,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,8,5,6,1,7] => [6,2,4,3,8,5,1,7] => [2,4,8,1,6,3,5,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,5,8,7,3,2,1,4] => [2,3,7,1,6,5,8,4] => [6,2,3,1,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,5,7,6,3,2,1,4] => [2,3,6,1,7,8,4,5] => [8,2,3,1,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,8,7,6,1,4] => [6,2,5,1,3,7,8,4] => [2,5,8,3,4,6,7,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[3,7,6,8,4,5,1,2] => [5,1,3,8,4,7,6,2] => [3,1,7,5,2,8,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,5,4,7,6,8,2,3] => [1,8,2,5,4,7,6,3] => [1,5,2,7,3,8,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,7,4,6,5,8,2,3] => [1,8,2,7,6,4,5,3] => [1,6,2,7,8,4,3,5] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,7,4,6,5,8,1,2] => [8,1,3,7,6,4,5,2] => [3,1,6,7,8,4,2,5] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[3,6,4,7,5,8,1,2] => [8,1,3,6,7,4,5,2] => [3,1,6,8,7,4,2,5] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[7,8,1,5,2,4,3,6] => [8,5,4,2,1,3,7,6] => [4,5,7,2,3,1,8,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,7,2,6,5,8,3,4] => [1,7,8,3,6,2,5,4] => [1,7,6,2,8,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,5,2,7,6,8,3,4] => [1,5,8,3,2,7,6,4] => [1,7,5,2,4,8,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,7,6,8,2,5,3,4] => [1,8,5,3,2,7,6,4] => [1,5,7,2,4,8,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,7,6,8,2,4,3,5] => [1,8,4,2,3,7,6,5] => [1,4,7,3,2,8,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[7,8,1,6,2,4,3,5] => [8,6,4,2,3,1,7,5] => [4,6,7,2,1,5,8,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[7,8,1,4,2,6,3,5] => [8,4,6,1,3,2,7,5] => [4,7,6,3,1,5,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,8,2,1,4,3,6,5] => [2,8,4,1,6,3,7,5] => [4,2,6,3,7,5,8,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[7,8,1,2,4,3,5,6] => [8,1,4,2,3,5,7,6] => [4,1,7,3,2,5,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[4,3,6,5,8,7,1,2] => [7,1,4,3,6,5,8,2] => [4,1,6,2,8,3,7,5] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,7,4,3,2,8,6,5] => [1,3,4,7,6,8,2,5] => [1,7,3,4,8,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,2,6,5,3,7,8,4] => [1,2,5,6,8,4,7,3] => [1,2,7,6,5,3,8,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,3,7,5,2,6,8,4] => [1,5,3,7,8,4,6,2] => [1,3,8,7,5,2,4,6] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,2,5,8,6,7] => [1,3,4,2,5,8,6,7] => [1,4,3,2,5,8,6,7] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,5,3,2,4,8,6,7] => [1,3,5,2,4,8,6,7] => [1,5,3,2,4,8,6,7] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,7,5,3,2,8,6,4] => [1,3,5,7,6,8,4,2] => [1,8,3,5,7,6,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,4,8,7,6] => [1,3,5,2,4,7,8,6] => [1,5,3,2,4,8,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[7,6,5,4,3,1,8,2] => [3,4,5,6,7,8,1,2] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,4,3,2,1,7] => [2,3,4,5,8,6,1,7] => [6,2,3,4,5,8,1,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[8,7,6,5,4,3,1,9,2] => [3,4,5,6,7,8,9,2,1] => [9,8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[7,6,1,4,3,8,5,2] => [6,5,4,2,7,8,3,1] => [4,7,8,2,5,6,1,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,8,2,4,3,7,6,5] => [1,8,4,2,6,7,3,5] => [1,4,6,3,8,7,5,2] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[7,6,5,1,3,8,4,2] => [5,4,1,6,7,8,3,2] => [7,8,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,6,3,4,8,7,5,2] => [1,5,7,2,6,4,8,3] => [1,8,5,3,6,2,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,5,4,1,2,7,3] => [4,1,5,8,7,6,2,3] => [7,1,5,4,6,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,8,5,2,3,7,6,4] => [1,5,2,8,6,7,4,3] => [1,8,2,5,6,7,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,2,4,3,7,1,5] => [7,8,4,2,1,6,3,5] => [6,4,7,2,3,8,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,8,3,4,7,2,6,5] => [1,7,8,3,6,2,4,5] => [1,7,6,2,8,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,5,8,4,3,2,1,6] => [2,3,4,8,7,1,5,6] => [7,2,3,4,8,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,4,8,5,2,7,1,3] => [7,5,1,8,6,2,4,3] => [6,8,2,5,7,4,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,7,5,2,6,1,3] => [6,5,1,7,8,4,2,3] => [7,8,2,6,5,1,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,4,6,8,2,1,7,3] => [2,8,7,5,4,6,1,3] => [5,2,6,7,1,8,4,3] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[8,4,6,5,2,1,7,3] => [2,5,6,7,8,1,3,4] => [8,2,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,5,6,1,3,2] => [6,3,1,4,7,5,8,2] => [3,4,2,8,6,1,7,5] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[2,7,5,1,8,4,3,6] => [5,2,4,7,8,1,3,6] => [2,7,8,4,5,3,6,1] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,8,6,7,4,3,5,1] => [5,2,4,7,3,8,6,1] => [2,5,8,4,1,7,3,6] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[3,6,5,2,4,1,8,7] => [4,5,3,2,6,1,8,7] => [4,3,6,1,5,2,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[5,2,3,6,4,1,8,7] => [4,6,1,5,3,2,8,7] => [6,4,2,5,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,1,4,5,3,2,8,7] => [6,3,5,1,4,2,8,7] => [3,6,5,2,1,4,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[3,8,7,1,4,6,5,2] => [7,5,3,1,6,4,8,2] => [3,5,8,2,6,1,7,4] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[4,3,7,6,8,2,5,1] => [5,8,4,3,2,7,6,1] => [5,4,7,1,2,8,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[6,3,7,2,4,8,5,1] => [5,8,7,3,6,1,4,2] => [8,5,6,1,7,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,7,5,1,8,2] => [5,7,3,8,6,1,2,4] => [6,3,8,5,7,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,4,7,6,2,3,1,5] => [3,6,2,7,4,8,1,5] => [8,3,1,7,2,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,2,5,6,3] => [7,1,6,8,2,5,4,3] => [7,1,8,6,4,2,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,2,8,7,3,5,6,1] => [6,4,7,2,3,5,8,1] => [6,8,4,2,1,3,7,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,7,4,2,5,6,3] => [8,4,7,6,3,5,1,2] => [4,8,6,7,1,2,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,8,2,5,6,1] => [6,8,4,7,2,5,3,1] => [7,4,8,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,5,8,7,3,6,1,4] => [6,2,7,1,5,3,8,4] => [2,6,5,3,8,4,7,1] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,1,5,8,7,4,6,3] => [2,1,6,7,5,4,8,3] => [2,1,6,5,8,3,7,4] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[7,4,3,2,8,5,6,1] => [6,3,4,7,8,5,2,1] => [3,8,7,4,6,1,2,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,1,8,5,6,3] => [7,4,6,2,8,5,1,3] => [4,8,7,2,6,1,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,8,5,6,3] => [4,7,6,1,8,5,2,3] => [8,4,7,3,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,7,3,5,6,1] => [6,2,7,4,3,5,8,1] => [2,6,4,8,1,3,7,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,4,7,2,8,5,6,1] => [6,7,3,4,8,5,2,1] => [4,3,7,8,6,1,2,5] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[7,2,3,4,8,5,6,1] => [6,7,2,3,8,5,4,1] => [8,7,1,2,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,4,5,8,6,3] => [2,1,6,8,3,7,5,4] => [2,1,8,6,4,7,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,8,3,6,7,5,4] => [2,1,8,5,7,3,6,4] => [2,1,5,8,7,4,3,6] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[7,6,2,1,5,8,4,3] => [2,6,4,7,3,8,5,1] => [7,2,8,4,1,6,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,5,2,7,6,1,8,3] => [6,5,7,4,2,8,3,1] => [5,7,4,8,2,6,1,3] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[3,6,8,7,5,2,1,4] => [2,5,3,1,7,6,8,4] => [3,2,6,1,5,8,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[7,3,5,8,4,2,1,6] => [2,4,8,7,1,3,5,6] => [8,2,4,7,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,4,3,5,6,1] => [6,7,4,8,3,5,2,1] => [7,6,8,4,1,2,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,7,8,1,3,5,6,2] => [8,6,1,4,3,5,7,2] => [4,6,2,7,1,3,8,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[8,7,3,4,1,5,6,2] => [4,6,7,3,1,5,8,2] => [8,6,4,1,3,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,7,3,5,6,1] => [6,8,7,4,3,5,2,1] => [7,4,6,8,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,1,8,7,2,5,6,4] => [3,7,1,6,2,5,8,4] => [6,3,2,8,4,1,7,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,2,3,7,1,5,6,4] => [7,8,2,6,1,5,3,4] => [7,6,1,8,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,8,7,1,3,2,5] => [7,3,1,6,2,4,8,5] => [3,6,2,8,4,5,7,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,8,6,2,1,4,7] => [2,6,5,1,3,8,4,7] => [5,2,8,3,4,6,1,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,8,5,2,7,4,3,1] => [3,4,7,5,8,6,2,1] => [7,4,3,6,5,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,8,6,1,2,5,4,7] => [6,1,3,5,2,8,4,7] => [3,1,5,8,4,6,2,7] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[5,8,1,6,2,3,4,7] => [8,6,2,3,5,1,4,7] => [5,6,1,2,8,4,3,7] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[5,8,4,3,7,6,1,2] => [6,1,4,7,5,8,2,3] => [5,1,7,4,8,6,3,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[4,7,6,8,2,1,5,3] => [2,8,5,4,1,7,6,3] => [4,2,5,7,3,8,1,6] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[4,1,3,8,5,6,7,2] => [4,7,1,3,8,5,6,2] => [8,4,2,1,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,2,3,6,7,4] => [1,5,2,8,7,4,6,3] => [1,8,2,5,7,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,3,2,5,6,7,4] => [1,3,8,7,2,5,6,4] => [1,7,3,8,4,2,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,2,3,1,5,6,7,4] => [3,8,2,7,1,5,6,4] => [7,3,1,8,4,2,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,4,8,2,3,6,7,5] => [1,8,2,4,7,3,6,5] => [1,4,2,7,8,5,3,6] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,1,2,7,8,6,4,5] => [3,1,2,6,4,8,7,5] => [3,1,2,7,4,6,8,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[4,2,7,1,8,6,3,5] => [7,4,6,2,3,8,1,5] => [4,8,7,2,1,6,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,8,4,1,2,6,7,5] => [4,1,3,8,7,2,6,5] => [3,1,7,4,8,5,2,6] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[5,4,8,2,3,6,7,1] => [7,8,2,5,4,3,6,1] => [7,5,1,8,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,3,1,6,8,4,7,5] => [3,2,1,8,7,6,4,5] => [2,3,1,6,7,8,5,4] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[2,4,3,7,1,8,5,6] => [7,2,4,3,8,5,1,6] => [2,4,8,1,7,3,6,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,4,7,3,2,8,5,6] => [1,3,7,4,8,5,2,6] => [1,4,3,8,7,2,6,5] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,7,1,4,3,8,5,6] => [7,2,4,1,8,5,3,6] => [2,4,8,3,7,1,6,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,4,1,8,6,3,7,5] => [4,2,6,1,8,7,5,3] => [2,8,4,3,6,7,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,5,1,7,2,3,4] => [5,8,1,3,7,6,2,4] => [7,5,2,1,6,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,3,6,5,8,2,1,4] => [2,8,7,1,6,3,5,4] => [6,2,7,3,8,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[4,7,1,6,2,8,5,3] => [7,6,5,4,8,1,2,3] => [4,6,7,8,5,3,2,1] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[6,1,5,3,8,7,2,4] => [6,7,5,2,1,3,8,4] => [6,5,8,2,4,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,8,6,3,7,1,5,4] => [7,2,6,5,1,8,3,4] => [2,5,7,8,4,6,3,1] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[7,6,1,5,8,2,3,4] => [6,7,1,3,2,8,5,4] => [8,7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,5,1,2,7,4] => [5,1,3,8,7,6,4,2] => [3,1,7,5,6,8,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[5,1,4,8,2,6,7,3] => [5,8,7,1,4,2,6,3] => [8,5,7,3,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,5,1,6,7,3] => [5,8,7,4,2,1,6,3] => [7,4,5,8,2,3,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,8,4,5,1,6,7,3] => [5,2,7,8,4,1,6,3] => [2,8,7,5,1,4,3,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,8,3,7,6,1,2] => [6,1,7,5,4,8,2,3] => [7,1,5,8,2,6,4,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,1,5,8,6,2,7,4] => [3,6,1,8,5,7,4,2] => [6,3,2,5,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,3,4,8,1,6,7,2] => [8,7,5,3,4,1,6,2] => [5,7,8,1,2,4,3,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,6,1,2,8,3,5,4] => [6,1,7,5,2,8,3,4] => [7,1,5,8,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,5,8,4,1,2,6,3] => [4,1,8,6,7,3,5,2] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,8,1,2,7,3] => [8,1,7,5,6,4,2,3] => [5,1,6,8,7,2,4,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[7,5,1,6,2,3,8,4] => [5,7,1,6,8,2,4,3] => [8,6,2,7,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,1,8,2,7,3] => [4,5,6,8,7,3,1,2] => [8,7,5,4,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,7,1,2,8,3] => [7,1,8,5,6,4,2,3] => [6,1,5,8,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,5,3,1,8,4,2,7] => [3,5,4,6,8,1,2,7] => [8,3,6,4,5,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,4,8,3,2,6] => [5,3,7,2,8,1,4,6] => [7,8,3,1,5,4,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,6,4,7,3,5,2] => [8,5,7,6,3,1,4,2] => [5,8,6,7,2,4,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,1,4,8,2] => [7,8,5,1,6,3,4,2] => [6,5,8,3,7,2,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,4,1,5,3,8,6,2] => [4,7,6,5,2,8,1,3] => [8,4,5,7,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,3,2,6,8] => [4,3,7,5,2,1,6,8] => [4,7,3,5,1,2,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[8,1,5,4,3,2,6,7] => [8,3,4,5,1,2,6,7] => [3,8,4,5,2,1,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,7,2,5,4,3,6] => [8,7,4,5,2,3,1,6] => [4,5,8,7,2,1,6,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,1,7,2,5,4,6,3] => [8,7,6,5,2,4,1,3] => [5,6,7,8,3,1,4,2] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[7,6,1,2,5,4,8,3] => [6,1,7,5,3,8,4,2] => [7,1,5,8,3,6,2,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,5,1,4,2,6,8,3] => [5,4,7,3,8,2,6,1] => [7,8,4,1,5,2,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,6,4,2,5,7,3] => [8,4,6,7,3,1,5,2] => [4,8,7,6,1,5,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,5,2,8,7] => [3,4,6,5,1,2,8,7] => [6,4,3,5,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,4,1,5,3,6,2,8] => [4,7,6,5,2,1,3,8] => [7,4,5,6,2,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,1,5,4,3,6,7,2] => [8,7,4,5,1,3,6,2] => [4,5,8,7,3,1,2,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[6,4,3,1,5,7,8,2] => [3,4,6,8,1,5,7,2] => [7,6,3,4,2,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,4,5,1,8,2,3] => [5,8,2,7,4,6,1,3] => [7,5,1,6,2,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,7,5,6,2,3,1,8] => [3,6,2,4,7,5,1,8] => [4,3,1,7,6,2,5,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[4,7,5,6,1,8,2,3] => [6,8,2,4,7,5,1,3] => [6,4,1,8,7,2,5,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,7,5,6,3,8,1,2] => [8,1,6,4,7,5,3,2] => [4,1,6,8,7,2,3,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[4,5,3,8,6,7,1,2] => [7,1,5,4,3,8,6,2] => [4,1,5,8,2,7,3,6] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[5,6,1,7,3,8,2,4] => [6,8,7,2,5,1,3,4] => [7,5,6,2,8,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,1,8,2,7,3,4] => [6,8,7,3,5,1,2,4] => [7,5,6,1,8,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,2,8,1,4,3,7] => [8,6,4,1,5,2,3,7] => [4,5,6,3,8,2,1,7] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[5,6,3,4,1,8,2,7] => [4,8,6,3,5,1,2,7] => [6,4,5,1,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,6,4,5,2,7,1,8] => [7,5,3,6,4,2,1,8] => [3,5,7,6,1,2,4,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[2,8,3,4,1,6,5,7] => [4,2,8,3,6,1,5,7] => [2,6,4,1,8,5,3,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,5,3,8,6,7,2,4] => [1,7,5,2,3,8,6,4] => [1,5,8,3,4,7,2,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,6,4,8,2,7,3,5] => [1,8,7,6,3,4,2,5] => [1,6,7,8,3,4,5,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,7,3,6,4,8,2,5] => [1,8,7,6,2,3,4,5] => [1,6,7,8,4,5,3,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,7,2,8,4,6,3,5] => [1,7,6,8,3,4,2,5] => [1,7,8,6,3,4,5,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,8,6,7,2,3,1,4] => [3,7,2,1,5,8,6,4] => [5,3,1,2,8,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,7,2,3,1,8,4,5] => [3,7,2,8,4,6,1,5] => [7,3,1,6,2,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,4,1,7,5,8,2,6] => [4,8,3,1,7,2,5,6] => [4,3,7,2,8,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[2,7,5,8,1,4,3,6] => [8,2,4,1,7,3,5,6] => [2,4,7,3,8,5,6,1] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[2,3,1,7,5,8,4,6] => [3,2,1,8,7,4,5,6] => [2,3,1,7,8,5,6,4] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[2,8,1,4,3,7,5,6] => [8,2,4,1,7,5,3,6] => [2,4,7,3,8,1,6,5] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[3,8,2,5,1,6,4,7] => [5,8,3,6,2,1,4,7] => [5,3,8,6,2,4,1,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,5,2,8,1,6,3,7] => [8,5,6,4,2,1,3,7] => [4,6,5,8,2,3,1,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[4,5,3,6,1,8,2,7] => [6,8,5,4,3,1,2,7] => [5,4,6,8,1,3,2,7] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[8,6,7,1,4,2,5,3] => [7,4,5,1,2,8,6,3] => [4,8,5,3,2,7,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,3,7,5,1,2,4] => [5,1,7,3,6,8,2,4] => [8,1,5,2,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,3,5,2,4] => [6,5,7,2,1,8,3,4] => [7,8,5,2,4,6,3,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,1,3,8,5,2,4] => [6,5,2,1,7,8,3,4] => [7,8,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,2,8,3,5,1,4] => [5,6,7,1,2,8,3,4] => [8,7,5,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,3,8,5,1,4] => [5,8,1,2,6,7,3,4] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,3,1,7,6,4] => [3,5,2,8,6,7,4,1] => [8,3,1,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,2,4,1,5,3] => [4,7,5,2,1,8,6,3] => [8,4,5,2,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,1,7,6,3,5] => [2,4,8,6,1,7,3,5] => [8,2,4,6,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,7,1,6,3,4] => [7,5,8,2,6,1,3,4] => [6,8,5,2,7,4,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,5,7,2,1,4,3,6] => [2,7,4,1,8,3,5,6] => [4,2,8,3,7,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,8,7,3,1,4,2,6] => [3,7,4,2,5,1,8,6] => [5,3,4,1,8,2,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[8,5,2,7,1,3,6,4] => [7,5,1,8,6,3,4,2] => [6,8,2,5,7,3,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,2,1,3,7,6,5] => [2,4,1,8,6,7,3,5] => [6,2,1,4,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,7,4,1,2,6,3,5] => [4,1,7,6,2,3,8,5] => [8,1,4,6,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,1,7,2,6,5] => [3,4,8,7,6,2,1,5] => [7,4,3,6,8,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,6,1,3,7,2,5,4] => [6,8,2,5,1,7,3,4] => [6,5,1,8,4,7,3,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,5,1,3,2,7,6,4] => [5,3,1,8,6,7,4,2] => [3,8,2,5,6,7,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,4,7,2,5,3] => [8,7,5,6,2,1,4,3] => [5,6,8,7,3,4,1,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,8,3,6,4,1,2,7] => [4,1,6,8,5,2,3,7] => [6,1,5,4,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,4,7,5,1,6,2,3] => [5,7,1,6,8,2,3,4] => [8,6,2,7,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,5,1,2,6,3] => [5,1,7,6,8,3,2,4] => [8,1,6,7,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,6,5,1,4,7] => [5,3,6,2,8,1,4,7] => [6,8,3,1,5,4,2,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,8,6,3,5,1,2,7] => [5,1,6,4,3,8,2,7] => [5,1,4,8,2,6,3,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,8,7,3,1,5,2,6] => [3,7,5,4,2,1,8,6] => [5,3,4,8,1,2,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,4,7,2,1,5,3,6] => [2,7,5,8,1,3,4,6] => [7,2,8,5,4,3,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,3,2,7,1,5,4,6] => [7,3,8,5,1,4,2,6] => [5,7,3,8,4,1,6,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[8,7,3,1,2,4,6,5] => [3,1,7,2,6,4,8,5] => [6,1,3,2,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,3,2,1,7,4,6,5] => [2,3,8,7,6,4,1,5] => [6,2,3,7,8,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[8,3,2,7,1,5,6,4] => [7,3,8,6,1,5,2,4] => [6,7,3,8,4,1,5,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,4,7,2,1,5,6,3] => [2,7,6,8,1,5,4,3] => [7,2,8,6,4,1,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,7,2,1,6,3,4,5] => [2,7,6,3,4,1,8,5] => [6,2,8,1,3,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,2,1,3,4,6,5] => [2,7,1,3,6,4,8,5] => [6,2,1,3,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,6,5,4,1,2,8,7] => [4,1,3,5,6,2,8,7] => [3,1,6,4,5,2,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[2,5,7,8,6,3,4,1] => [4,2,6,3,5,8,7,1] => [2,5,4,1,7,6,8,3] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[4,8,5,7,6,3,1,2] => [3,1,6,4,7,8,2,5] => [4,1,3,8,7,6,5,2] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,6,3,2,1,5,8,7] => [2,3,6,4,1,5,8,7] => [4,2,3,6,1,5,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[6,2,1,5,3,4,8,7] => [2,6,5,3,1,4,8,7] => [5,2,6,1,4,3,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[5,8,1,3,7,6,4,2] => [8,4,1,6,5,7,3,2] => [4,6,2,5,8,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[3,7,4,2,8,1,5,6] => [8,4,3,7,1,5,2,6] => [3,4,8,7,2,1,6,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,2,6,8,5,7,3,1] => [3,7,4,1,8,6,5,2] => [7,3,4,2,6,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,1,5,8,7,6,3,4] => [2,1,6,3,5,7,8,4] => [2,1,5,3,8,6,7,4] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[2,1,4,7,6,3,8,5] => [2,1,6,4,7,8,5,3] => [2,1,4,8,7,6,3,5] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[4,1,3,7,6,2,8,5] => [4,6,1,3,7,8,5,2] => [8,4,2,1,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,6,3,2,7,4] => [5,3,8,6,7,2,4,1] => [5,8,3,7,6,2,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,4,3,8,2,1,5,6] => [2,8,4,7,1,5,3,6] => [4,2,8,7,3,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,8,2,5,6,1,4,3] => [6,8,4,1,2,5,7,3] => [6,4,7,3,2,1,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[2,4,3,8,7,5,6,1] => [6,2,4,3,7,5,8,1] => [2,4,8,1,6,3,7,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,5,7,1,6,3,2,4] => [7,3,6,2,8,1,5,4] => [3,8,7,1,6,5,2,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,8,2,1,7,3,4] => [2,8,7,3,6,5,1,4] => [6,2,7,1,8,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[2,1,6,5,8,4,7,3] => [2,1,7,8,6,5,4,3] => [2,1,7,6,8,3,4,5] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[2,1,6,8,5,4,3,7] => [2,1,4,5,8,6,3,7] => [2,1,6,4,5,8,3,7] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[6,2,8,4,3,5,1,7] => [5,6,4,8,3,2,1,7] => [6,5,8,4,1,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,8,1,2,6,7,4,5] => [8,1,3,7,4,2,6,5] => [3,1,7,8,2,5,4,6] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[7,4,8,6,3,2,5,1] => [5,3,6,8,4,7,2,1] => [6,8,3,5,1,7,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,4,7,2,1,3,6] => [2,7,1,8,5,3,4,6] => [7,2,1,5,8,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,8,4,3,7,5,6] => [2,1,4,8,7,5,3,6] => [2,1,7,4,8,3,6,5] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[5,8,2,4,3,1,6,7] => [3,4,8,1,5,2,6,7] => [5,4,3,2,8,1,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[2,8,3,1,6,4,5,7] => [3,2,8,6,4,1,5,7] => [2,6,3,8,1,5,4,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,2,7,3,5,4,8,6] => [1,2,7,5,3,8,4,6] => [1,2,5,8,4,7,6,3] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => [1,2,3,7,4,8,6,5] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => [1,3,7,2,4,8,6,5] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,2,3,8,4,6,7,5] => [1,2,3,8,7,4,6,5] => [1,2,3,7,8,5,4,6] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,8,2,3,5,4,6,7] => [1,8,2,5,3,4,6,7] => [1,5,2,8,4,3,6,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,6,7,8,2,3,5,4] => [1,8,2,5,3,6,7,4] => [1,5,2,6,4,7,8,3] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => [1,2,6,8,3,5,4,7] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => [1,6,2,8,3,5,4,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => [1,2,5,8,4,3,6,7] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,3,2,8,4,6,7,5] => [1,3,2,8,7,4,6,5] => [1,3,2,7,8,5,4,6] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[7,6,3,1,5,2,4,8] => [3,6,5,1,2,7,4,8] => [7,3,5,2,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,7,3,1,5,2,8,4] => [3,7,5,8,2,6,1,4] => [7,3,6,5,2,8,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,4,6,5,1,2,3,8] => [5,1,2,6,7,3,4,8] => [7,1,2,6,5,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,7,5,4,1,2,8,3] => [4,1,5,7,8,6,2,3] => [7,1,6,4,5,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,7,6,4,1,8,2,3] => [4,6,2,7,5,8,1,3] => [7,5,1,4,8,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,7,4,1,2,8,3] => [4,1,7,8,6,5,3,2] => [7,1,6,4,8,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,4,7,5,1,2,8,3] => [5,1,7,8,6,2,3,4] => [8,1,6,5,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,1,5,2,7,4] => [8,5,6,7,1,3,2,4] => [5,8,7,6,4,2,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,4,8,5,1,2,7,3] => [5,1,8,7,6,2,3,4] => [8,1,5,6,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,4,1,2,7,3] => [4,1,8,7,6,5,3,2] => [7,1,4,6,8,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,5,8,6,7,1,2,3] => [7,1,2,4,5,8,6,3] => [4,1,2,5,8,7,3,6] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[5,4,8,6,1,7,2,3] => [6,8,1,5,4,7,2,3] => [6,5,2,8,1,7,4,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,3,8,1,6,7,2,4] => [8,7,5,2,3,1,6,4] => [5,7,8,2,3,4,1,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[5,2,1,7,6,8,3,4] => [2,5,8,3,1,7,6,4] => [7,2,5,1,4,8,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,8,6,5,7,1,2,3] => [7,1,2,4,6,8,5,3] => [4,1,2,7,8,6,3,5] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[4,8,5,6,7,1,2,3] => [7,1,2,4,8,5,6,3] => [4,1,2,8,7,3,5,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,7,5,6,8,1,2,3] => [8,1,2,4,7,5,6,3] => [4,1,2,7,8,3,5,6] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[4,6,5,7,8,1,2,3] => [8,1,2,4,6,5,7,3] => [4,1,2,6,7,3,8,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[5,7,4,6,1,8,2,3] => [6,8,2,7,5,4,1,3] => [7,5,1,6,8,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,7,3,1,6,8,2,4] => [3,7,8,1,5,2,6,4] => [7,5,3,2,8,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,4,6,8,1,7,2,3] => [8,7,2,5,4,6,1,3] => [5,6,1,7,2,8,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[4,5,6,8,7,1,2,3] => [7,1,2,4,5,6,8,3] => [4,1,2,5,6,8,7,3] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[4,8,6,7,5,1,2,3] => [5,1,2,4,7,8,6,3] => [4,1,2,8,5,7,3,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,7,6,8,5,1,2,3] => [5,1,2,4,8,7,6,3] => [4,1,2,7,5,8,3,6] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[4,6,7,8,5,1,2,3] => [5,1,2,4,8,6,7,3] => [4,1,2,6,5,7,8,3] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[5,4,7,8,1,6,2,3] => [8,6,2,5,4,1,7,3] => [5,6,1,7,2,4,8,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[5,3,7,1,8,6,2,4] => [7,6,5,2,3,8,1,4] => [5,7,8,2,3,6,4,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[4,6,8,7,5,1,2,3] => [5,1,2,4,7,6,8,3] => [4,1,2,6,5,8,7,3] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[2,5,4,7,3,6,1,8] => [6,2,7,5,4,3,1,8] => [2,6,5,7,1,3,4,8] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[2,4,6,3,7,5,1,8] => [5,2,7,4,6,1,3,8] => [2,5,4,7,6,3,1,8] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[4,2,7,3,6,5,1,8] => [5,4,6,2,7,1,3,8] => [6,7,4,2,5,3,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[4,2,6,3,1,5,8,7] => [3,6,4,1,2,5,8,7] => [6,3,4,2,1,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,2,7,6,3,5,1,8] => [5,4,6,2,3,7,1,8] => [5,7,4,2,1,6,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,7,5,2,3,8,4,6] => [1,5,2,7,8,3,4,6] => [1,8,2,7,5,4,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,8,6,5,4,7] => [3,2,1,5,6,8,4,7] => [2,3,1,8,5,6,4,7] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[8,3,2,6,4,1,5,7] => [4,3,6,8,2,1,5,7] => [6,8,3,4,1,5,2,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => [1,7,5,2,4,8,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,2,6,3,8,7,4,5] => [1,2,6,7,4,3,8,5] => [1,2,8,6,3,5,7,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,6,3,4,8,5] => [1,2,6,3,7,8,5,4] => [1,2,8,3,7,6,4,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,8,6,4,7,5] => [1,2,3,6,8,7,5,4] => [1,2,3,8,6,7,4,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,7,4,8,6,5] => [1,2,3,7,6,8,4,5] => [1,2,3,7,8,6,5,4] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,7,6,3,8,4,5] => [1,2,6,7,3,8,4,5] => [1,2,8,7,4,6,5,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,6,4,8,7,5] => [1,2,3,6,7,4,8,5] => [1,2,3,8,6,5,7,4] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,7,6,4,8,5] => [1,2,3,6,7,8,5,4] => [1,2,3,8,7,6,4,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[7,1,8,4,2,3,5,6] => [7,4,2,8,3,5,1,6] => [7,8,1,4,2,3,6,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,1,8,4,3,5,7,6] => [2,1,4,8,3,7,5,6] => [2,1,7,4,3,8,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,2,7,3,6,4,8,5] => [1,2,7,6,8,3,4,5] => [1,2,7,8,6,5,4,3] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,2,8,6,3,7,4,5] => [1,2,6,8,3,7,4,5] => [1,2,8,6,4,7,5,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,8,4,7,6,5] => [1,2,3,8,6,7,4,5] => [1,2,3,6,8,7,5,4] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,7,3,4,8,6,5] => [1,2,7,3,6,8,4,5] => [1,2,7,3,8,6,5,4] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => [1,2,8,6,7,5,4,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,6,3,4,7,5] => [1,2,6,3,8,7,5,4] => [1,2,8,3,6,7,4,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,3,8,4,6,5] => [1,2,7,8,6,4,3,5] => [1,2,7,6,8,4,5,3] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,2,3,8,7,4,6,5] => [1,2,3,7,6,4,8,5] => [1,2,3,6,8,5,7,4] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,3,8,7,6,4,5] => [1,2,3,6,4,7,8,5] => [1,2,3,8,4,6,7,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[3,8,5,7,2,6,4,1] => [4,6,3,7,8,1,5,2] => [7,3,8,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,4,8,6,1,2,5,7] => [6,1,3,4,2,8,5,7] => [3,1,4,8,2,6,5,7] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[2,4,3,8,1,6,5,7] => [8,2,4,3,6,1,5,7] => [2,4,6,1,8,5,3,7] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[2,4,8,1,3,5,7,6] => [8,2,1,4,3,7,5,6] => [2,4,1,7,3,8,6,5] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[3,5,7,6,2,4,8,1] => [8,6,3,2,5,7,4,1] => [3,5,6,1,8,7,2,4] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[4,8,6,7,1,2,3,5] => [7,1,2,4,3,8,6,5] => [4,1,2,8,3,7,5,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,2,8,5,6,1,7,4] => [6,3,2,7,8,5,1,4] => [3,8,1,7,6,2,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,6,7,2,1,3,5] => [2,7,1,4,3,8,6,5] => [4,2,1,8,3,7,5,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,8,6,7,2,1,4,3] => [2,7,4,1,5,8,6,3] => [4,2,5,3,8,7,1,6] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[4,8,6,7,2,1,5,3] => [2,7,5,4,1,8,6,3] => [4,2,5,8,3,7,1,6] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[4,3,2,8,5,1,7,6] => [5,3,4,2,8,7,1,6] => [3,7,4,1,5,8,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[5,8,6,7,1,4,3,2] => [7,3,4,1,5,8,6,2] => [3,5,4,2,8,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[5,8,6,7,2,4,3,1] => [3,4,7,1,5,8,6,2] => [5,4,3,2,8,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,2,3,8,5,1,6,7] => [5,4,2,3,8,1,6,7] => [4,8,1,2,5,3,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,8,5,1,7,6,3] => [5,4,8,2,6,7,3,1] => [5,8,4,2,6,7,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,2,6,7,5,1,3,8] => [5,4,1,2,7,6,3,8] => [4,6,2,3,5,7,1,8] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[3,8,5,7,1,4,2,6] => [7,4,3,1,8,2,5,6] => [3,4,8,2,7,5,6,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,8,4,7,2,5,1,6] => [5,7,3,8,2,1,4,6] => [7,3,8,5,2,4,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,1,3,8,5,2,6,7] => [4,5,1,3,8,2,6,7] => [8,4,2,1,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,7,3,2,5,1] => [5,3,7,4,2,8,6,1] => [4,5,3,8,1,7,2,6] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[4,8,6,7,3,1,2,5] => [3,1,7,4,2,8,6,5] => [4,1,3,8,2,7,5,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,4,1,7,5,6,2,8] => [4,6,3,1,7,5,2,8] => [4,3,7,2,6,1,5,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[4,1,7,5,2,8,6,3] => [4,5,7,1,6,8,3,2] => [8,5,4,3,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,7,2,3,1,5] => [3,7,2,4,1,8,6,5] => [4,3,1,8,2,7,5,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,8,6,7,3,2,4,1] => [4,3,7,2,5,8,6,1] => [4,5,3,1,8,7,2,6] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[5,8,6,7,4,2,3,1] => [3,4,2,7,5,8,6,1] => [5,3,1,4,8,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,6,7,4,1,3,2] => [4,3,1,7,5,8,6,2] => [3,5,2,4,8,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[5,8,6,7,3,1,4,2] => [3,7,4,2,5,8,6,1] => [5,3,4,1,8,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,1,6,7,5,3,8,2] => [4,8,5,1,7,6,3,2] => [7,4,5,3,6,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,1,7,5,3,2,8,6] => [4,3,5,1,7,8,2,6] => [4,8,3,2,5,7,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,8,5,3,1,7,6] => [3,5,4,1,8,7,2,6] => [7,3,4,2,5,8,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,8,6,7,3,2,1,5] => [2,3,7,4,1,8,6,5] => [4,2,3,8,1,7,5,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[7,3,5,8,1,4,2,6] => [8,4,7,1,3,2,5,6] => [4,8,7,3,1,5,6,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,7,8,5,2] => [6,5,3,1,8,4,7,2] => [3,6,7,2,5,1,8,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[6,8,1,3,5,7,2,4] => [8,7,1,2,3,6,5,4] => [6,7,2,3,4,8,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[7,6,1,4,3,8,2,5] => [6,7,4,2,1,8,3,5] => [7,4,8,2,3,6,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,1,6,5,4,2,7] => [8,4,3,5,6,1,2,7] => [3,4,8,5,6,2,1,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,1,3,7,5,8,2,6] => [4,8,1,3,7,2,5,6] => [7,4,2,1,8,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,1,7,6,5,8,4,2] => [3,4,1,8,6,7,5,2] => [6,3,2,4,8,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,4,2,6,7,5,3,1] => [3,5,4,7,8,2,6,1] => [8,3,7,4,5,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,6,2,7,5,4] => [1,6,3,5,8,7,4,2] => [1,3,6,8,5,7,2,4] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[4,7,2,6,8,1,5,3] => [8,7,5,4,1,2,6,3] => [4,5,7,8,3,2,1,6] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[2,7,4,1,6,8,3,5] => [4,2,7,8,1,3,6,5] => [2,8,7,4,3,5,1,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,4,5,1,6,8] => [5,7,3,2,4,1,6,8] => [5,3,7,1,2,4,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,8,6,4,5,2,3,7] => [1,5,2,6,4,8,3,7] => [1,8,2,5,3,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,6,5,1,3,7] => [5,2,1,6,8,3,4,7] => [2,8,1,6,5,4,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,7,5,2,6,8] => [4,5,3,1,7,2,6,8] => [4,3,7,2,5,1,6,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[7,5,8,6,1,2,4,3] => [6,1,4,2,8,7,3,5] => [4,1,8,3,6,7,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,4,1,2,7,5,8,3] => [4,1,6,8,7,3,5,2] => [8,1,6,4,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,4,5,2,6,1] => [6,5,8,7,4,2,3,1] => [7,8,5,6,1,3,2,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,3,7,8,5,1,6,2] => [5,8,4,3,6,2,7,1] => [5,4,7,1,6,2,8,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[2,8,7,6,3,4,1,5] => [4,2,6,3,1,7,8,5] => [2,8,4,1,3,6,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,7,5,4,3,6,1] => [6,8,4,5,7,3,2,1] => [5,4,8,7,6,1,2,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,8,4,5,6,1,2,7] => [6,1,3,8,4,5,2,7] => [3,1,8,6,2,4,5,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,5,7,8,2,6] => [1,8,4,3,5,2,7,6] => [1,4,5,2,7,3,8,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[3,6,7,2,4,8,1,5] => [8,7,3,2,1,6,4,5] => [3,6,7,1,4,8,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,5,2,7,4,3,8,6] => [1,5,4,7,2,8,3,6] => [1,5,8,4,3,7,6,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,6,5,4,3,2,7] => [1,3,4,5,6,8,2,7] => [1,8,3,4,5,6,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,2,8,4,7,3] => [6,5,7,8,1,2,4,3] => [7,8,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,7,3,5,8,6,2,4] => [1,6,8,3,2,7,5,4] => [1,8,6,2,4,7,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,8,6,1,2,4] => [6,1,8,3,2,7,5,4] => [8,1,6,2,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,1,5,7,2,4] => [8,7,3,2,1,6,5,4] => [3,6,7,1,4,8,2,5] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[3,4,6,5,8,1,7,2] => [8,7,3,4,6,5,1,2] => [3,4,6,7,8,1,5,2] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[7,6,8,1,2,3,5,4] => [8,1,2,5,3,7,6,4] => [5,1,2,7,4,8,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[2,7,1,5,8,6,3,4] => [7,2,6,3,1,8,5,4] => [2,7,8,1,4,6,3,5] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,7,5,8,3,1,6,2] => [3,8,6,4,7,2,5,1] => [6,3,4,8,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,7,2,1,8,5,6,3] => [2,7,6,4,8,5,1,3] => [4,2,7,8,6,1,5,3] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[7,6,8,2,1,3,5,4] => [2,8,1,5,3,7,6,4] => [5,2,1,7,4,8,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[6,7,4,1,8,5,3,2] => [4,3,7,5,8,6,2,1] => [4,7,3,6,5,8,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[2,3,7,6,8,1,5,4] => [8,2,3,5,1,7,6,4] => [2,3,5,7,4,8,1,6] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[7,4,2,6,8,5,1,3] => [5,4,2,8,7,1,6,3] => [5,8,1,4,7,3,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,3,2,5,8,6,1,4] => [6,3,8,2,1,7,5,4] => [6,8,3,1,4,7,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,1,7,6,8,2,5,4] => [3,8,1,5,2,7,6,4] => [5,3,2,7,4,8,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,7,4,2,6,8,5,3] => [1,4,7,5,8,3,6,2] => [1,8,4,7,5,2,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,6,8,5,3] => [4,1,7,5,8,3,6,2] => [8,1,4,7,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,2,8,5,6,3] => [7,4,6,1,8,5,2,3] => [4,8,7,3,6,1,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,3,8,4,6,1,5,2] => [6,5,7,8,1,4,3,2] => [7,8,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,6,8,5,4,2,3] => [7,4,2,5,8,1,6,3] => [4,8,1,7,5,3,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,6,8,5,4,3] => [7,1,4,5,8,2,6,3] => [4,1,8,7,5,3,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,7,6,8,3,2,5,4] => [1,3,8,5,2,7,6,4] => [1,5,3,7,4,8,2,6] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[7,6,8,3,1,2,5,4] => [3,1,8,5,2,7,6,4] => [5,1,3,7,4,8,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[7,2,5,8,6,3,1,4] => [3,6,8,1,2,7,5,4] => [8,6,3,2,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,1,8,5,4,2] => [7,4,3,5,8,6,1,2] => [3,4,7,6,5,8,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[7,2,6,8,5,4,1,3] => [4,5,1,8,7,2,6,3] => [8,5,2,4,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,2,3,1,5,4] => [3,8,2,5,1,7,6,4] => [5,3,1,7,4,8,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[7,2,1,6,8,5,4,3] => [2,7,4,5,8,1,6,3] => [4,2,8,7,5,3,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,6,4,8,1,2,7,3] => [8,1,7,6,5,4,2,3] => [5,1,6,7,8,2,4,3] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[8,1,5,6,7,2,4,3] => [8,7,4,2,1,5,6,3] => [4,7,8,2,3,1,5,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[6,4,5,1,8,2,7,3] => [5,8,7,6,4,1,2,3] => [8,5,6,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,6,7,4,5,2] => [8,5,1,7,4,3,6,2] => [5,8,2,7,1,3,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,2,6,7,3,1,8,5] => [3,7,4,1,8,6,2,5] => [7,3,4,2,6,8,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,2,4,1,5,8,7,3] => [4,6,7,2,1,5,8,3] => [8,6,4,2,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,5,4,8,6,3] => [2,7,6,5,1,8,4,3] => [5,2,7,8,4,6,1,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[8,1,4,5,3,7,2,6] => [8,7,5,1,4,2,3,6] => [5,7,8,3,1,4,6,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,6,1,2,4,5,8,3] => [6,1,7,3,4,8,5,2] => [8,1,7,2,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,8,1,4,7,3] => [8,6,7,1,5,2,4,3] => [5,7,6,3,8,4,1,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[8,1,6,3,2,5,7,4] => [8,3,6,7,2,1,5,4] => [3,8,6,7,2,5,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,5,2,8,6] => [4,7,2,5,3,8,1,6] => [8,4,1,5,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,4,5,6,2,8] => [3,7,6,2,4,5,1,8] => [7,3,6,1,2,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,2,3,4,8,7,1,5] => [7,6,2,3,1,4,8,5] => [6,8,1,2,4,5,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,8,3,5,6,2,1,4] => [2,6,8,1,3,5,7,4] => [7,2,6,3,4,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,2,6,3,8,1,7,4] => [8,5,6,7,2,3,1,4] => [5,8,7,6,3,2,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,7,3,5,8] => [4,6,7,2,3,1,5,8] => [7,6,4,2,1,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,3,2,5,7,8,1,4] => [8,3,6,1,2,5,7,4] => [3,7,6,2,4,1,8,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,7,2,3,6,1,8,4] => [6,7,2,8,5,3,1,4] => [7,6,1,5,8,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,2,3,6,1,7,4] => [6,8,2,7,5,3,1,4] => [7,5,1,6,8,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,8,4,3,7,1,2] => [7,1,4,8,5,6,3,2] => [5,1,6,4,7,8,2,3] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[5,6,1,4,2,3,8,7] => [6,4,2,1,5,3,8,7] => [4,5,1,3,6,2,8,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[4,7,5,6,3,2,1,8] => [2,3,6,4,7,5,1,8] => [4,2,3,7,6,1,5,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[5,1,4,3,8,2,7,6] => [5,8,4,1,3,7,2,6] => [5,4,7,3,1,8,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,7,2,4,1,8,6,3] => [4,7,6,2,5,8,1,3] => [7,4,5,2,8,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,1,4,2,7,8,5,3] => [6,4,5,1,8,2,7,3] => [4,7,6,3,5,2,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[5,8,2,4,1,7,6,3] => [4,8,6,2,5,7,1,3] => [6,4,5,2,8,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,2,7,4,1,6,8,3] => [4,7,5,8,3,2,6,1] => [8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,3,7,2,6,8] => [4,5,2,7,3,1,6,8] => [7,5,1,4,2,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,8,6,4,3,7,1,2] => [7,1,4,6,5,8,3,2] => [4,1,7,5,8,6,2,3] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[5,4,8,7,3,2,1,6] => [2,3,7,5,4,1,8,6] => [5,2,3,8,1,4,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,8,7,6,3,2,1,5] => [2,3,6,4,1,7,8,5] => [4,2,3,8,1,6,7,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,8,2,3,6,7,5,1] => [5,7,1,4,8,3,6,2] => [7,4,2,8,5,1,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,3,8,1,6,2,5,7] => [8,6,4,3,2,1,5,7] => [4,6,8,1,2,5,3,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,3,8,7,2,5,1,6] => [5,7,4,3,2,1,8,6] => [5,4,8,1,2,3,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,8,1,4,7,2,6,3] => [8,7,6,1,5,2,4,3] => [5,6,7,3,8,4,1,2] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[5,8,1,7,4,2,3,6] => [8,4,2,7,5,3,1,6] => [4,7,1,5,8,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,8,7,1,3,4,2,6] => [7,4,1,3,5,2,8,6] => [4,5,2,1,8,3,7,6] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[4,3,8,2,7,5,6,1] => [6,8,4,3,7,5,2,1] => [6,4,8,1,7,2,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,4,8,3,7,5,6,2] => [1,6,8,4,7,5,3,2] => [1,6,4,8,7,2,3,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,4,3,8,2,6,5,7] => [1,8,4,3,6,2,5,7] => [1,4,6,2,8,5,3,7] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[7,3,8,1,5,4,6,2] => [8,6,7,5,1,4,3,2] => [5,7,6,8,4,1,2,3] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[3,4,8,1,6,2,5,7] => [8,6,3,4,2,1,5,7] => [3,4,6,8,1,5,2,7] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[3,4,8,7,2,5,1,6] => [5,7,3,4,2,1,8,6] => [4,3,5,8,1,2,7,6] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[3,4,8,2,7,5,6,1] => [6,8,3,4,7,5,2,1] => [4,3,6,8,7,1,2,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,2,4,8,3,6,5,7] => [1,2,8,4,6,3,5,7] => [1,2,4,6,8,5,3,7] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,4,3,8,6,5,7] => [1,2,4,3,6,8,5,7] => [1,2,4,3,8,6,5,7] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[3,4,2,1,8,6,5,7] => [2,4,3,1,6,8,5,7] => [3,2,4,1,8,6,5,7] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[4,1,7,8,5,3,2,6] => [4,3,5,1,8,2,7,6] => [4,7,3,2,5,1,8,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[4,1,2,8,3,6,5,7] => [4,1,8,2,6,3,5,7] => [6,1,4,3,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,2,3,1,8,6,5,7] => [3,4,2,1,6,8,5,7] => [4,3,1,2,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,7,1,8,5,2,3,6] => [7,5,2,4,8,3,1,6] => [4,7,1,8,5,2,6,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[3,7,8,6,2,4,1,5] => [4,6,3,2,1,8,7,5] => [4,3,7,1,2,6,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[4,2,3,8,1,6,5,7] => [8,4,2,3,6,1,5,7] => [4,6,1,2,8,5,3,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[3,7,2,8,4,6,5,1] => [5,6,3,7,8,1,4,2] => [7,3,8,6,5,4,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,2,8,6,3,1,5,7] => [3,6,4,1,2,8,5,7] => [8,3,4,2,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,6,3,1,5,7] => [3,2,6,4,1,8,5,7] => [2,4,3,8,1,6,5,7] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[7,6,2,8,3,5,4,1] => [4,5,6,7,3,8,1,2] => [8,7,5,4,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,8,4,6,5,2] => [1,5,6,7,8,2,4,3] => [1,8,7,6,5,4,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,8,2,6,4,5,1] => [5,8,7,6,4,2,3,1] => [8,5,6,7,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,8,5,2,6,3] => [4,7,5,8,6,1,2,3] => [8,5,6,4,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,8,4,6,5,1] => [5,3,6,7,8,1,4,2] => [7,8,3,6,5,4,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,4,3,1,8,6,5,7] => [3,2,4,1,6,8,5,7] => [2,4,3,1,8,6,5,7] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,3,2,4,8,6,5,7] => [1,3,2,4,6,8,5,7] => [1,3,2,4,8,6,5,7] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[3,1,2,4,8,6,5,7] => [3,1,2,4,6,8,5,7] => [3,1,2,4,8,6,5,7] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[3,1,4,2,8,6,5,7] => [3,4,1,2,6,8,5,7] => [4,3,2,1,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[3,1,4,8,2,6,5,7] => [3,8,1,4,6,2,5,7] => [4,3,2,6,8,5,1,7] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[7,3,4,8,5,1,6,2] => [5,8,6,1,7,2,4,3] => [8,5,7,3,6,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,3,5,4,1] => [4,5,7,8,1,6,3,2] => [7,6,5,4,3,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,3,1,4,8,6,5,7] => [3,2,1,4,6,8,5,7] => [2,3,1,4,8,6,5,7] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,4,8,6,5,7] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,6,5,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[3,5,8,2,6,1,4,7] => [6,8,3,1,5,2,4,7] => [5,3,6,2,8,4,1,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[2,8,4,5,7,3,6,1] => [6,2,7,8,4,3,5,1] => [2,8,7,6,1,4,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,3,5,2,6,4,7] => [8,5,1,6,3,2,4,7] => [5,8,2,6,3,4,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,3,8,4,7] => [2,5,6,8,1,3,4,7] => [8,2,6,5,4,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,5,8,4,2,7] => [6,4,3,8,1,5,2,7] => [3,6,8,4,2,1,5,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,4,3,6,2,7,8,5] => [1,6,4,3,8,2,7,5] => [1,4,7,2,6,5,8,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[4,7,8,5,3,1,2,6] => [3,1,5,4,8,2,7,6] => [4,1,3,7,5,2,8,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[5,7,3,4,1,2,8,6] => [4,1,7,3,5,8,2,6] => [5,1,4,2,8,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[8,5,4,7,6,2,1,3] => [2,6,1,5,7,8,3,4] => [7,2,1,8,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,5,7,4,3,6,1,2] => [6,1,4,7,8,3,5,2] => [7,1,8,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,3,8,6,7,4,1,2] => [4,1,7,5,2,8,6,3] => [8,1,4,5,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,6,4,7,5,2] => [1,5,3,7,6,8,2,4] => [1,3,8,5,7,6,4,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,6,2,7,4,1,5,3] => [4,7,6,5,2,8,3,1] => [8,4,5,7,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,1,4,3,8,5] => [2,6,4,1,7,8,5,3] => [4,2,8,3,7,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,6,1,3,4,2,8,5] => [6,4,1,3,7,8,5,2] => [4,8,2,1,7,6,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,3,2,5,8,4] => [1,3,7,8,2,6,5,4] => [1,7,3,6,4,8,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,2,6,8,5,7,4,1] => [4,3,2,7,8,6,5,1] => [3,7,1,4,6,8,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[4,2,6,1,7,8,3,5] => [6,4,8,2,3,1,7,5] => [6,7,4,2,1,5,8,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,2,7,6,3,8,1,5] => [8,4,6,2,1,7,3,5] => [4,8,6,2,3,7,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,4,8,7,2,3,5,1] => [5,7,2,6,3,4,8,1] => [8,5,1,6,3,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,4,1,6,8,5] => [4,3,2,7,8,1,6,5] => [3,8,1,4,7,5,2,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,8,4,2,5,6] => [7,4,3,8,2,5,1,6] => [3,7,8,4,1,2,6,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,1,3,7,5,8,6] => [2,4,1,3,7,8,5,6] => [4,2,1,3,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[3,8,7,2,6,5,4,1] => [4,5,3,6,7,2,8,1] => [6,3,8,4,5,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,8,2,4,7,1,5,3] => [7,8,5,2,1,6,4,3] => [6,5,7,2,4,8,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[5,8,1,6,7,2,4,3] => [8,7,4,2,5,1,6,3] => [4,5,7,2,8,3,1,6] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[6,2,8,1,5,7,4,3] => [8,6,4,7,1,2,5,3] => [4,7,8,6,3,5,1,2] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[5,7,8,2,6,1,4,3] => [6,8,4,1,5,2,7,3] => [5,4,6,3,7,2,8,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[8,7,2,5,6,4,3,1] => [3,4,6,7,2,5,8,1] => [8,6,3,4,1,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,8,1,5,4,3] => [8,7,4,5,1,2,6,3] => [4,5,8,7,3,2,1,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,2,7,8,5,6,4,3] => [1,2,4,6,8,5,7,3] => [1,2,7,4,6,3,8,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[7,4,8,1,6,2,5,3] => [8,6,5,7,2,1,4,3] => [5,7,8,6,3,4,1,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[3,7,1,8,2,6,5,4] => [7,8,3,5,6,2,1,4] => [5,3,6,8,7,2,4,1] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[2,1,7,3,8,6,5,4] => [2,1,7,5,6,8,3,4] => [2,1,5,8,7,6,4,3] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[8,2,1,7,6,5,4,3] => [2,8,4,5,6,7,1,3] => [4,2,8,5,6,7,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,6,7,5,1,4,3,2] => [5,3,4,1,7,8,6,2] => [3,8,4,2,5,7,1,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,4,3,2,1,6,7] => [2,3,4,8,5,1,6,7] => [5,2,3,4,8,1,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,3,6,2,1,4,7] => [2,6,8,1,5,3,4,7] => [6,2,5,3,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,3,7,6,2,1,4,8] => [2,6,5,1,3,7,4,8] => [5,2,7,3,4,6,1,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[3,8,7,6,2,1,4,5] => [2,6,3,1,4,7,8,5] => [3,2,8,1,4,6,7,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,8,7,2,5,1,3,6] => [5,7,1,4,2,3,8,6] => [5,4,2,8,3,1,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,3,7,2,5,1,8,6] => [5,7,4,3,2,8,1,6] => [5,4,8,1,2,7,6,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,8,7,2,5,1,4,6] => [5,7,3,1,2,4,8,6] => [5,3,8,2,4,1,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,4,2,7,5,1,3,8] => [5,4,2,7,6,1,3,8] => [5,7,1,4,6,3,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[5,3,2,6,7,1,4,8] => [7,3,5,1,2,6,4,8] => [3,6,5,2,4,7,1,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[4,2,7,6,5,1,3,8] => [5,4,1,2,6,7,3,8] => [4,7,2,3,5,6,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[2,8,7,6,5,1,3,4] => [5,2,1,3,6,7,8,4] => [2,8,1,3,5,6,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,1,5,8,2] => [3,7,8,6,2,4,5,1] => [7,6,3,8,2,4,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,4,7,3,1,8,6,2] => [3,7,6,5,4,8,2,1] => [7,3,5,8,1,6,2,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,3,7,1,5,8,2] => [7,8,4,6,1,3,5,2] => [6,4,8,7,3,2,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,3,7,8,1,4,5,2] => [8,5,6,1,4,3,7,2] => [5,7,6,3,1,2,8,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[6,5,4,2,1,7,3,8] => [2,4,5,6,7,1,3,8] => [7,2,6,4,5,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,8,7,2,1,5,3,6] => [2,7,5,4,1,3,8,6] => [4,2,5,8,3,1,7,6] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[4,8,3,2,1,5,7,6] => [2,3,8,4,1,7,5,6] => [4,2,3,7,1,8,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[5,3,7,2,1,4,8,6] => [2,7,5,1,3,8,4,6] => [5,2,8,3,4,7,6,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,8,7,2,1,4,5,6] => [2,7,3,1,4,5,8,6] => [3,2,8,1,4,5,7,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[5,8,2,6,1,4,3,7] => [6,8,4,1,5,2,3,7] => [5,4,6,3,8,2,1,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[5,4,2,6,1,8,3,7] => [6,4,5,8,3,1,2,7] => [5,8,6,4,1,3,2,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,3,2,6,1,5,8,7] => [6,3,4,2,1,5,8,7] => [3,6,4,1,2,5,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[6,2,7,8,1,4,3,5] => [8,6,4,1,3,2,7,5] => [4,6,7,3,1,5,8,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[3,2,7,6,1,4,5,8] => [6,3,2,1,4,7,5,8] => [3,7,1,2,4,6,5,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,8,4,1,6,7,3,2] => [4,3,8,7,5,2,6,1] => [4,7,3,5,8,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,1,6,8,3,2] => [7,3,8,5,4,1,6,2] => [5,7,3,8,1,4,2,6] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[3,8,7,1,5,4,6,2] => [7,6,3,5,1,4,8,2] => [3,5,6,8,4,1,7,2] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[5,8,2,1,6,4,3,7] => [2,8,4,6,5,1,3,7] => [4,2,6,5,8,3,1,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[6,3,2,1,5,4,8,7] => [2,3,6,5,1,4,8,7] => [5,2,3,6,4,1,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[5,3,2,1,6,4,8,7] => [2,3,5,6,1,4,8,7] => [6,2,3,5,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,2,7,1,5,4,3,8] => [7,6,4,5,1,2,3,8] => [4,5,7,6,3,2,1,8] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[5,2,7,1,6,4,3,8] => [7,5,4,6,2,1,3,8] => [4,6,7,5,2,3,1,8] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[4,2,7,1,5,6,3,8] => [7,4,6,2,1,5,3,8] => [4,7,6,2,3,1,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[6,5,1,7,8,4,3,2] => [5,3,4,6,8,2,7,1] => [3,7,6,4,5,1,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,8,1,6,7,4,3,2] => [8,3,4,7,5,1,6,2] => [3,7,4,5,8,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[4,8,1,6,5,7,3,2] => [8,3,7,4,6,1,5,2] => [3,6,4,7,8,5,1,2] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[6,3,1,7,5,4,8,2] => [3,6,8,5,7,2,4,1] => [7,5,3,8,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,3,1,6,7,4,8,2] => [3,5,8,7,2,6,4,1] => [7,5,3,6,2,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,8,1,6,5,4,7,2] => [8,7,3,5,6,1,4,2] => [3,5,6,8,7,4,1,2] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[2,8,1,6,5,4,3,7] => [8,2,4,5,6,1,3,7] => [2,4,8,5,6,3,1,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,7,8,5,4,3,2] => [6,3,4,5,8,1,7,2] => [3,7,4,6,5,2,8,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,7,6,5,8,3,2] => [4,3,8,1,6,7,5,2] => [4,6,3,2,8,7,1,5] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,7,3,5,6,2,4,8] => [1,6,7,2,3,5,4,8] => [1,7,6,3,4,2,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[8,1,3,5,7,2,4,6] => [8,7,1,2,3,4,5,6] => [7,8,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,4,5,6,8,1,7,2] => [8,7,3,4,5,6,1,2] => [3,4,5,6,7,8,2,1] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => [1,5,2,7,4,3,6,8] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[8,1,2,3,5,4,6,7] => [8,1,2,5,3,4,6,7] => [5,1,2,8,4,3,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,7,8,3,5,6,1,4] => [6,2,8,1,3,5,7,4] => [2,7,6,3,4,1,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,4,5,7,8,1,6,3] => [8,2,6,4,5,1,7,3] => [2,4,5,6,7,3,8,1] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[8,7,3,5,6,2,1,4] => [2,6,7,1,3,5,8,4] => [8,2,6,3,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,1,3,5,4,6] => [2,7,1,5,3,4,8,6] => [5,2,1,8,4,3,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,3,6,7,8,1,5,4] => [8,2,3,5,1,6,7,4] => [2,3,5,6,4,7,8,1] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,3,6,7,2,5,4,8] => [1,7,3,5,2,6,4,8] => [1,3,5,6,4,7,2,8] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[7,4,1,8,5,2,3,6] => [4,7,1,5,8,3,2,6] => [8,4,2,7,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,2,8,3,6,5] => [7,4,8,1,6,3,2,5] => [6,7,4,3,8,2,5,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[7,1,8,2,5,3,6,4] => [7,8,5,6,2,3,1,4] => [6,5,8,7,3,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,1,7,5,4,2,3,6] => [8,4,2,5,7,3,1,6] => [4,8,1,5,7,2,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,3,2,5,4,8] => [1,3,6,5,2,7,4,8] => [1,5,3,7,4,6,2,8] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[8,6,3,1,2,5,4,7] => [3,1,6,5,2,8,4,7] => [5,1,3,8,4,6,2,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,3,1,8,6,5,4,2] => [3,7,4,5,6,8,2,1] => [8,3,4,5,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,1,6,5,4,3] => [2,7,4,5,6,1,8,3] => [4,2,8,5,6,3,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,7,6,3,2,1,5,4] => [2,3,6,5,1,7,8,4] => [5,2,3,8,4,6,7,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,1,8,6,3,7,4,5] => [2,1,6,8,3,7,4,5] => [2,1,8,6,4,7,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,6,1,5,2,7,4,3] => [6,5,4,8,3,7,2,1] => [5,6,8,4,1,7,2,3] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[8,5,1,7,4,2,6,3] => [5,4,8,7,6,2,3,1] => [6,8,4,5,7,2,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,1,7,5,4,3,8,6] => [2,1,4,5,7,8,3,6] => [2,1,8,4,5,7,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,8,4,5,3,6,7] => [2,1,5,8,4,3,6,7] => [2,1,8,5,3,4,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,8,3,6,5,4] => [2,1,8,5,6,3,7,4] => [2,1,5,7,6,4,8,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,8,5,7,6,3,4] => [2,1,6,3,7,8,4,5] => [2,1,8,3,7,6,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,8,5,7,3,6] => [2,1,7,4,8,3,5,6] => [2,1,4,8,7,5,6,3] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[8,5,3,1,6,2,4,7] => [3,5,8,2,6,1,4,7] => [8,5,3,1,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,4,6,8,3,2] => [5,3,7,2,8,4,6,1] => [7,8,3,1,5,2,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,4,1,5,2,3,8,7] => [4,6,1,5,2,3,8,7] => [6,4,2,5,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,8,3,7,6,2,1,4] => [2,6,7,3,5,8,1,4] => [7,2,5,1,8,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,2,4,8,6,3,1,7] => [3,6,5,1,4,8,2,7] => [8,3,5,2,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,4,7,5,1,6] => [5,7,3,1,8,2,4,6] => [7,3,8,2,5,4,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,2,7,4,6,1,3] => [6,5,1,8,7,2,4,3] => [7,8,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,8,2,1,7,6,4,3] => [2,8,4,6,5,7,1,3] => [4,2,6,5,8,7,3,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[6,3,8,1,5,7,4,2] => [8,4,7,6,1,2,5,3] => [4,8,6,7,3,5,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,2,8,1,4,6,5,3] => [8,7,5,1,6,4,2,3] => [5,6,8,3,7,1,4,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,2,3,1,4,5,8,7] => [3,6,2,1,4,5,8,7] => [6,3,1,2,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,6,1,4,3,2,8,7] => [6,3,4,1,5,2,8,7] => [3,5,4,2,6,1,8,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[6,8,1,4,5,3,2,7] => [8,3,5,1,4,6,2,7] => [3,6,5,2,1,8,4,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[6,7,1,5,4,3,8,2] => [7,8,4,5,1,6,3,2] => [5,4,7,6,3,8,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,8,1,6,3,7,4,2] => [8,4,7,6,5,1,2,3] => [4,7,5,6,8,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,3,5,8,1,6,2,4] => [8,6,7,2,3,1,5,4] => [6,8,7,2,3,5,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,3,5,4,1,2,8,7] => [4,1,5,6,2,3,8,7] => [6,1,5,4,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,6,3,5,1,4,8,7] => [5,2,6,1,3,4,8,7] => [2,6,5,3,4,1,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[8,7,3,6,5,1,4,2] => [5,4,6,3,7,1,8,2] => [6,8,4,1,5,3,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,4,7,2,8,1,5,6] => [8,7,3,4,1,5,2,6] => [3,4,7,8,2,1,6,5] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[3,2,8,4,7,1,6,5] => [7,3,2,8,6,1,4,5] => [3,7,1,6,8,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[3,8,4,7,1,6,5,2] => [7,5,3,6,8,1,2,4] => [3,6,8,7,5,4,2,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[2,4,3,5,8,7,1,6] => [7,2,4,3,5,1,8,6] => [2,4,5,1,8,3,7,6] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[3,2,4,5,6,8,1,7] => [8,3,2,4,5,6,1,7] => [3,4,1,5,6,8,2,7] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,3,5,7,8,6,2,4] => [1,6,3,2,5,8,7,4] => [1,3,5,2,7,6,8,4] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[3,5,1,6,8,2,7,4] => [5,8,3,7,1,6,2,4] => [5,3,7,6,4,8,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[2,3,5,6,8,1,7,4] => [8,2,3,7,5,6,1,4] => [2,3,5,6,7,8,4,1] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[5,6,4,8,2,1,7,3] => [2,8,7,6,5,4,1,3] => [5,2,6,7,8,1,4,3] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[5,1,6,3,8,4,7,2] => [5,7,6,8,1,3,4,2] => [8,6,7,5,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,6,8,3,7,4] => [5,1,8,7,2,6,3,4] => [7,1,5,6,4,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,7,1,8,6,2,3,4] => [7,6,2,3,5,8,1,4] => [5,7,1,2,8,6,4,3] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,7,2,8,6,1,3,4] => [6,8,2,3,5,7,1,4] => [6,5,1,2,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,1,7,8,6,3,4,2] => [5,4,6,3,1,8,7,2] => [5,7,4,1,3,6,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[6,2,7,5,1,8,3,4] => [5,7,6,1,8,3,2,4] => [8,6,7,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,7,5,8,3,4] => [1,2,8,3,7,6,5,4] => [1,2,6,3,7,8,4,5] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[6,2,7,5,4,1,8,3] => [4,5,7,6,8,1,3,2] => [8,7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,8,6,3,1,4] => [3,2,6,1,5,8,7,4] => [2,5,3,1,7,6,8,4] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[5,1,7,8,6,3,2,4] => [5,3,6,2,1,8,7,4] => [5,7,3,1,4,6,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[6,3,7,5,1,8,2,4] => [5,7,8,3,6,1,2,4] => [8,6,5,1,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,6,4,1,2,3] => [4,1,2,6,5,8,7,3] => [5,1,2,4,7,6,8,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[2,4,7,1,5,6,8,3] => [7,2,8,4,1,5,6,3] => [2,7,4,8,3,1,5,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,6,3,7,5,8,2,4] => [1,8,6,2,7,3,5,4] => [1,6,8,3,7,5,2,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,1,7,5,8,2,4] => [3,6,8,1,7,2,5,4] => [8,6,3,2,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,2,5,1,8,3] => [5,4,7,8,3,6,1,2] => [6,7,5,4,1,8,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,2,7,4,5,1,8,3] => [5,6,8,7,4,2,1,3] => [8,7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,7,5,8,1,4] => [8,6,2,1,7,3,5,4] => [6,8,1,3,7,5,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,5,1,6,3,2,8,7] => [5,3,6,4,1,2,8,7] => [4,5,3,6,2,1,8,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[7,5,1,6,3,8,4,2] => [5,4,7,8,6,3,1,2] => [6,8,5,4,7,1,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,7,6,1,3,8,4,5] => [6,2,1,7,3,8,4,5] => [2,8,1,7,4,6,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,8,2,6,4] => [5,8,7,6,3,2,1,4] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,1,8,6,2,4] => [5,7,3,1,6,8,2,4] => [5,3,8,2,7,6,4,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,6,7,4,1,8,3,5] => [4,2,7,8,1,6,3,5] => [2,7,6,4,3,8,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,1,6,7,3,8,5,4] => [2,1,7,5,8,6,3,4] => [2,1,6,7,5,8,4,3] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[2,6,7,4,1,8,5,3] => [4,2,7,5,8,6,3,1] => [2,7,4,6,5,8,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,3,4,7,8,1,6,5] => [8,2,3,4,6,1,7,5] => [2,3,4,6,7,5,8,1] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[6,8,5,4,3,2,7,1] => [7,3,4,5,8,6,2,1] => [3,7,4,6,5,8,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[10,11,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,11,10,1] => [10,2,3,4,5,6,7,8,9,11,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]
[5,8,4,3,2,1,7,6] => [2,3,4,8,5,7,1,6] => [5,2,3,4,7,8,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[6,5,4,3,1,8,7,2] => [3,4,5,6,7,2,8,1] => [8,6,3,4,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[11,10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,11,2] => [11,1,3,4,5,6,7,8,9,10,2] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[3,5,6,2,1,8,4,7] => [2,6,3,8,5,1,4,7] => [3,2,6,5,8,4,1,7] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[3,5,2,6,8,4,1,7] => [4,8,3,5,1,6,2,7] => [4,3,6,5,2,8,1,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[7,5,3,2,8,4,6,1] => [6,3,5,7,8,2,4,1] => [3,8,7,6,5,2,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,8,1,5,6,3,7] => [8,4,6,2,1,5,3,7] => [4,8,6,2,3,1,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,1,8,4,3,7] => [6,2,4,8,5,1,3,7] => [2,5,6,4,8,3,1,7] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[6,4,7,3,2,8,5,1] => [5,3,8,7,6,1,4,2] => [5,8,3,6,7,4,1,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,1,7,3,8,4,2,6] => [5,4,8,7,1,3,2,6] => [7,8,4,5,3,1,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,5,1,7,4,3,8,6] => [5,2,4,7,1,8,3,6] => [2,5,8,4,3,7,6,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,3,7,1,4,8,6,2] => [7,6,5,1,3,8,4,2] => [5,7,8,3,2,6,1,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,4,3,1,7,8,5,2] => [3,4,6,5,8,1,7,2] => [7,4,3,6,5,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,4,1,7,3,8,5,2] => [4,6,5,8,7,2,3,1] => [8,5,7,4,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,7,8,4,2,1] => [2,4,8,6,5,1,7,3] => [6,2,4,5,7,3,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,1,6,3,7,8,4,2] => [5,4,8,6,1,2,7,3] => [6,7,4,5,3,2,8,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[5,6,1,3,7,8,4,2] => [6,4,1,8,5,3,7,2] => [5,6,2,4,7,1,8,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[5,6,1,7,8,3,4,2] => [6,4,8,3,5,1,7,2] => [5,6,4,1,7,3,8,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,6,3,7,4,8,5,2] => [1,5,8,6,7,4,2,3] => [1,8,5,7,6,2,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,3,2,7,8,4] => [6,3,1,8,5,2,7,4] => [3,6,2,5,7,4,8,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[2,5,6,3,7,8,4,1] => [4,2,8,6,5,1,7,3] => [2,6,4,5,7,3,8,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[6,3,7,2,8,4,5,1] => [5,7,6,8,4,3,2,1] => [8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,2,8,4,1,5] => [4,8,7,6,2,1,3,5] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,7,1,8,4,5] => [7,3,6,8,4,2,1,5] => [3,8,7,6,1,4,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,8,4,2,1,5,6] => [2,4,8,7,3,5,1,6] => [8,2,4,7,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,2,1,6,4] => [2,8,7,6,5,1,3,4] => [5,2,6,7,8,4,3,1] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[4,6,2,1,7,8,5,3] => [2,6,5,4,8,1,7,3] => [4,2,6,7,5,3,8,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[6,7,2,1,3,8,5,4] => [2,7,1,5,8,6,3,4] => [6,2,1,7,5,8,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[5,1,6,7,8,2,4,3] => [5,8,4,2,1,6,7,3] => [5,4,6,2,3,7,8,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[6,3,7,1,8,5,2,4] => [7,5,8,3,6,2,1,4] => [6,8,5,1,7,3,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,2,1,7,3,8,5,4] => [2,6,7,5,8,1,3,4] => [7,2,6,8,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,2,7,1,8,5,4,3] => [7,6,4,5,8,2,1,3] => [4,6,8,7,5,2,3,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,1,3,6,8,2,5,7] => [4,8,1,3,2,6,5,7] => [6,4,2,1,3,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,2,3,6,8,1,5,7] => [8,4,2,3,1,6,5,7] => [4,6,1,2,3,8,5,7] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[3,2,6,4,5,8,1,7] => [8,3,2,6,4,5,1,7] => [3,6,1,8,2,4,5,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[2,4,6,5,8,1,3,7] => [8,2,1,4,6,5,3,7] => [2,4,1,6,8,3,5,7] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[5,3,2,1,6,8,4,7] => [2,3,5,8,1,6,4,7] => [6,2,3,5,4,8,1,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,6,3,4,5,8,2,7] => [1,8,6,3,4,5,2,7] => [1,6,8,2,3,4,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[3,4,1,8,5,2,7,6] => [4,5,3,1,8,7,2,6] => [4,3,7,2,5,8,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[2,8,4,1,7,6,3,5] => [4,2,8,6,1,7,3,5] => [2,8,4,6,3,7,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,8,7,4,6] => [1,3,5,7,2,4,8,6] => [1,8,3,5,4,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,4,5,8,3,2] => [1,3,8,6,4,7,5,2] => [1,6,3,8,2,7,4,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,1,3,5,6,8,7,2] => [4,7,1,3,5,6,8,2] => [5,4,2,1,6,8,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[2,4,8,6,7,1,3,5] => [7,2,1,4,3,8,6,5] => [2,4,1,8,3,7,5,6] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,3,6,2,8,1,7,5] => [8,6,4,3,7,2,1,5] => [4,6,8,1,7,3,5,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[2,3,5,8,6,7,1,4] => [7,2,3,1,5,8,6,4] => [2,3,5,1,8,7,4,6] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[2,1,8,5,6,7,3,4] => [2,1,7,3,8,5,6,4] => [2,1,8,3,7,4,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,6,4,8,1,7,5] => [8,3,2,6,7,4,1,5] => [3,6,1,8,7,4,5,2] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[2,7,8,5,4,1,3,6] => [4,2,1,5,8,3,7,6] => [2,7,1,4,5,3,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,7,5,3,1,2,8,6] => [3,1,5,4,7,8,2,6] => [4,1,3,8,5,7,6,2] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[8,2,4,6,7,1,3,5] => [7,8,1,2,3,4,6,5] => [8,7,2,3,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,3,6,7,1,5] => [7,8,2,4,1,3,6,5] => [7,4,1,8,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,5,2,7,6,1,8,4] => [6,5,3,7,2,8,4,1] => [3,7,8,5,2,6,1,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,6,3,2,5,8,7,4] => [1,3,6,7,2,5,8,4] => [1,8,3,6,4,2,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,8,7,1,3,4] => [7,5,1,3,2,6,8,4] => [5,6,2,1,4,8,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,8,4,2,5,6,7,3] => [1,4,8,7,3,5,6,2] => [1,8,4,7,2,3,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,4,1,5,6,7,2] => [4,8,3,7,2,5,6,1] => [4,3,8,7,1,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,1,3,6,5,2,4,7] => [8,5,1,2,6,3,4,7] => [5,8,2,3,6,4,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,4,3,6,5,2,7] => [8,5,4,1,6,3,2,7] => [4,5,8,3,6,1,2,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,3,2,4,6,5,1,7] => [5,3,6,1,8,4,2,7] => [6,8,3,2,5,1,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,2,1,6,5,3,7] => [2,4,8,5,6,3,1,7] => [8,2,4,5,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,6,5,3,7] => [4,1,8,5,6,3,2,7] => [8,1,4,5,6,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,2,1,5,3,7] => [2,4,6,5,3,8,1,7] => [8,2,4,5,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,4,1,5,2,7] => [4,6,5,8,2,1,3,7] => [8,5,6,4,2,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,3,4,5,1,7] => [5,8,6,3,4,2,1,7] => [8,5,6,1,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,2,4,8,7,6] => [1,5,3,2,4,7,8,6] => [1,3,5,2,4,8,7,6] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[4,3,1,5,8,6,7,2] => [3,4,7,2,5,8,6,1] => [5,4,3,1,8,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,1,3,5,8,6,7,2] => [4,7,1,3,5,8,6,2] => [5,4,2,1,8,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,5,3,8,4,7,1,2] => [7,1,5,6,8,4,3,2] => [6,1,8,7,5,2,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,4,2,1,6,8,7,3] => [2,4,5,7,3,6,8,1] => [6,2,5,4,1,8,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,8,4,3,2,7,1,5] => [7,3,4,8,1,6,2,5] => [3,7,6,4,2,8,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[5,1,3,2,8,6,7,4] => [5,3,1,7,2,8,6,4] => [3,8,2,5,4,7,1,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,2,8,6,7,4] => [3,1,5,7,2,8,6,4] => [8,1,3,5,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,3,8,1,6,5] => [8,2,7,4,6,1,3,5] => [2,4,6,7,8,5,3,1] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[3,5,1,7,8,4,2,6] => [5,4,3,8,1,2,7,6] => [3,5,7,4,2,1,8,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[2,7,4,5,8,3,1,6] => [3,2,8,7,4,1,5,6] => [2,7,3,8,1,5,6,4] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,8,4,3,7,2,6,5] => [1,7,4,8,6,2,3,5] => [1,6,7,4,8,5,3,2] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,3,8,7,4,1,2,5] => [4,1,7,6,3,2,8,5] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,2,4,8,1,6] => [8,7,3,2,5,1,4,6] => [3,5,7,1,8,4,6,2] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[8,4,7,2,3,1,5,6] => [3,7,2,8,1,5,4,6] => [8,3,1,7,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,2,1,3,5,6] => [2,7,1,8,3,5,4,6] => [8,2,1,7,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,2,1,3,7,5] => [2,4,1,6,8,7,5,3] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,1,3,2,7,5] => [4,3,1,6,8,7,5,2] => [3,8,2,4,6,7,1,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,2,6,1,8,4] => [6,7,3,8,5,2,1,4] => [6,3,7,5,8,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,8,3,2,6,7,1,4] => [7,3,8,1,5,2,6,4] => [5,7,3,2,8,4,1,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[4,8,5,3,6,2,7,1] => [7,6,5,4,8,3,2,1] => [4,6,7,8,5,1,2,3] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[2,1,7,6,4,5,8,3] => [2,1,8,6,4,7,5,3] => [2,1,6,8,3,7,4,5] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[3,5,1,7,6,8,2,4] => [5,8,3,2,1,7,6,4] => [5,3,7,1,4,8,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[2,5,7,8,4,1,6,3] => [4,2,8,6,5,3,7,1] => [2,6,4,5,7,1,8,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,2,8,1,5,6,7,3] => [8,4,7,2,1,5,6,3] => [4,8,7,2,3,1,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,2,6,8,7,3] => [4,5,7,1,2,6,8,3] => [6,5,4,3,2,8,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,8,6,2,1,3,7,4] => [2,6,1,8,5,7,4,3] => [6,2,1,5,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,2,4,1,5,6,7,3] => [4,8,7,2,1,5,6,3] => [8,4,7,2,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,4,5,6,7,2] => [8,7,3,1,4,5,6,2] => [3,7,8,2,1,4,5,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,4,5,7,1,8,6,2] => [7,6,3,4,5,8,1,2] => [3,4,5,7,8,6,2,1] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[3,4,6,8,1,5,2,7] => [8,5,3,4,1,6,2,7] => [3,4,5,6,2,8,1,7] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[3,4,8,2,1,5,6,7] => [2,8,3,4,1,5,6,7] => [3,2,4,8,1,5,6,7] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[3,5,2,6,7,8,1,4] => [8,5,3,1,2,6,7,4] => [3,5,6,2,4,7,8,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[3,5,7,2,4,8,6,1] => [6,8,3,1,5,7,4,2] => [5,3,6,2,8,7,1,4] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[3,5,7,2,8,4,6,1] => [6,7,3,8,5,4,2,1] => [6,3,7,5,8,1,2,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[3,6,2,1,7,8,5,4] => [2,6,3,5,8,1,7,4] => [3,2,6,7,5,4,8,1] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[3,6,7,8,4,5,1,2] => [5,1,3,8,4,6,7,2] => [3,1,6,5,2,7,8,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[3,6,8,2,4,5,1,7] => [5,8,3,2,4,6,1,7] => [5,3,6,1,2,8,4,7] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[3,7,2,8,4,5,6,1] => [6,7,3,8,4,5,2,1] => [7,3,8,6,1,2,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,2,1,4,5,6,7] => [2,8,3,1,4,5,6,7] => [3,2,8,1,4,5,6,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,6,7,8,3,2] => [4,3,8,1,5,6,7,2] => [4,5,3,2,6,7,8,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,1,5,7,3,8,6,2] => [4,6,8,1,5,7,2,3] => [6,5,4,3,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,1,6,3,7,8,5,2] => [4,5,8,1,6,2,7,3] => [7,5,4,3,6,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,1,6,7,3,8,5,2] => [4,5,8,1,7,6,2,3] => [7,5,4,3,6,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,1,6,8,3,5,2,7] => [4,5,8,1,3,6,2,7] => [6,5,4,3,1,8,2,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,1,7,3,2,8,6,5] => [4,3,7,1,6,8,2,5] => [4,7,3,2,8,6,5,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,1,7,8,3,5,6,2] => [4,6,8,1,3,5,7,2] => [7,6,4,3,1,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,5,6,3,8,1,2,7] => [8,1,6,4,5,3,2,7] => [4,1,5,6,8,2,3,7] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[4,6,7,3,2,8,5,1] => [5,3,8,4,7,6,1,2] => [4,5,3,7,6,8,2,1] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[4,7,2,3,1,8,6,5] => [3,7,2,4,6,8,1,5] => [4,3,1,7,8,6,5,2] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[4,7,2,8,3,5,6,1] => [6,7,8,4,3,5,2,1] => [7,6,4,8,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,8,3,2,5,6,1] => [6,3,8,4,2,5,7,1] => [4,6,3,7,1,2,8,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[5,6,2,7,8,4,1,3] => [4,8,2,6,5,1,7,3] => [6,4,1,5,7,3,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,8,3,4,2,1,7] => [2,4,8,3,5,6,1,7] => [5,2,4,1,6,8,3,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[5,7,2,3,4,8,6,1] => [6,8,1,3,5,7,4,2] => [6,5,2,1,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,7,8,3,4,2,6,1] => [6,4,8,3,5,2,7,1] => [5,6,4,1,7,2,8,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[5,8,2,3,4,1,6,7] => [4,8,2,3,5,1,6,7] => [5,4,1,2,8,3,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,1,7,3,8,5,4,2] => [6,4,5,8,7,1,3,2] => [5,8,7,4,6,3,1,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,2,3,4,8,6,5] => [7,1,2,3,6,8,4,5] => [7,1,2,3,8,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,3,5,7,2,6,4,8] => [1,7,3,6,5,2,4,8] => [1,3,5,6,7,4,2,8] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,7,5,2,3,4,6,8] => [1,5,2,3,7,4,6,8] => [1,7,2,3,5,4,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[2,7,5,1,3,8,4,6] => [5,2,1,7,8,3,4,6] => [2,8,1,7,5,4,6,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,7,5,3,1,6,4] => [3,5,7,8,6,1,4,2] => [8,6,3,5,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,5,3,1,6,4] => [3,5,8,6,1,2,7,4] => [7,5,3,6,4,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,8,1,5,3,2,4,7] => [8,3,5,2,1,6,4,7] => [3,6,5,1,4,8,2,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,6,7,5,3,2,4,8] => [1,3,5,2,7,6,4,8] => [1,6,3,2,5,7,4,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[6,5,1,2,4,8,3,7] => [5,1,6,3,8,4,2,7] => [8,1,6,2,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,5,6,3,7] => [4,1,8,6,3,5,2,7] => [8,1,4,6,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,7,2,6,4,5] => [8,7,1,6,4,2,3,5] => [6,7,2,8,1,5,4,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,3,2,6,5,1,8,4] => [5,3,6,7,8,4,2,1] => [7,8,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,7,4,5,6,1,3] => [6,8,1,7,4,5,2,3] => [8,6,2,7,1,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,9,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,9,1] => [7,2,3,4,5,6,9,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[6,9,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,9,1] => [6,2,3,4,5,9,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[5,9,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,9,1] => [5,2,3,4,9,6,7,8,1] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[3,9,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,9,1] => [3,2,9,4,5,6,7,8,1] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,1] => [2,9,3,4,5,6,7,8,1] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,10,9,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,9,10,1] => [6,2,3,4,5,10,7,8,9,1] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[5,10,9,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,9,10,1] => [5,2,3,4,10,6,7,8,9,1] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,8,7,6,5,3,2,4] => [1,3,5,2,6,7,8,4] => [1,8,3,2,5,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,6,5,2,3,4] => [1,5,2,3,6,7,8,4] => [1,8,2,3,5,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,9,8,7,6,5,4,2,3] => [1,4,2,5,6,7,8,9,3] => [1,9,2,4,5,6,7,8,3] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,10,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,10,1] => [2,10,3,4,5,6,7,8,9,1] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,4,7,2,5,6,3,1] => [3,6,7,8,1,5,4,2] => [8,7,3,6,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,4,3,1,7,2] => [3,4,5,8,7,6,2,1] => [7,5,3,4,6,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,8,6,4,1,3,7,2] => [4,6,1,8,5,7,3,2] => [6,5,2,4,8,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,8,6,1,5,3,7,2] => [6,8,5,4,2,7,3,1] => [5,4,6,8,2,7,1,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[3,6,1,8,5,2,7,4] => [6,5,3,8,7,1,4,2] => [3,7,8,5,6,4,1,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[7,2,5,8,3,6,1,4] => [6,7,8,1,2,3,5,4] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,6,3,4,2,8] => [1,4,6,3,7,5,2,8] => [1,7,4,2,6,3,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,5,7,4,2,6,3,8] => [1,4,7,6,5,3,2,8] => [1,6,4,5,7,2,3,8] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[6,8,3,4,5,1,7,2] => [5,7,8,3,4,6,1,2] => [7,6,5,1,2,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,3,2,1,5,4,7,6] => [2,3,8,5,1,7,4,6] => [5,2,3,7,4,8,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[6,3,7,1,5,8,4,2] => [7,4,8,6,1,2,5,3] => [6,8,4,7,3,5,1,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,2,5,4,8,1,3,7] => [8,6,1,5,2,4,3,7] => [5,6,2,8,4,1,3,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[8,3,4,1,5,2,7,6] => [4,5,8,3,1,7,2,6] => [7,5,4,1,3,8,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,3,8,4,5,2,1,6] => [2,5,7,8,4,1,3,6] => [8,2,7,5,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,1,8,4,3,6] => [5,7,4,8,2,3,1,6] => [7,5,8,4,2,1,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,4,6,8,1,2,7,3] => [8,1,7,5,4,6,2,3] => [5,1,6,7,2,8,4,3] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[6,8,4,1,3,5,7,2] => [4,8,2,7,3,6,5,1] => [7,4,1,6,2,8,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,4,7,8,6,2,5,1] => [5,6,3,4,2,8,7,1] => [4,3,5,7,1,6,8,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[8,2,7,4,6,1,3,5] => [6,8,1,7,3,4,2,5] => [8,6,2,7,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,2,8,1,6,5] => [8,3,7,4,6,1,2,5] => [3,6,4,7,8,5,2,1] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[6,3,1,4,7,2,8,5] => [3,6,7,2,8,4,1,5] => [8,7,3,1,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,6,8,2,5,1] => [5,8,4,7,2,3,6,1] => [7,4,8,5,2,1,3,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,8,6,1,5,7,3,4] => [6,2,8,1,3,7,5,4] => [2,8,6,3,4,7,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,3,7,4,2,6,1] => [6,4,7,5,8,3,2,1] => [6,8,4,7,5,1,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,7,3,2,4,1,8,6] => [4,3,7,2,5,8,1,6] => [4,5,3,1,8,7,6,2] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,7,6,3,2,5,8,4] => [1,3,6,7,4,8,5,2] => [1,8,3,7,2,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,5,6,1,7,4,3] => [6,8,4,7,2,5,1,3] => [7,4,8,6,2,1,5,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,4,8,7,2,1,3] => [2,7,1,5,6,4,8,3] => [5,2,1,8,6,3,7,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,6,2,1,7,5,8,4] => [2,6,3,8,7,1,5,4] => [3,2,8,6,7,5,1,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,7,3,5,6,8,2] => [1,8,7,4,3,5,6,2] => [1,4,7,8,2,3,5,6] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,3,2,7,5,8,6,4] => [1,3,2,6,8,7,4,5] => [1,3,2,8,6,7,5,4] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,4,2,7,8,5,6,3] => [1,4,6,2,8,5,7,3] => [1,7,4,3,6,2,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,2,6,8,4,7,3] => [5,1,7,8,2,6,4,3] => [7,1,6,5,4,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,5,2,4,8,7,6,3] => [1,5,6,2,4,7,8,3] => [1,8,5,3,2,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,4,8,6,5,3] => [1,2,5,6,8,7,4,3] => [1,2,8,6,5,7,3,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,2,7,5,8,4,6] => [1,3,2,8,7,4,5,6] => [1,3,2,7,8,5,6,4] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,5,2,4,8,7,3,6] => [1,5,7,2,4,3,8,6] => [1,8,5,3,2,4,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,4,8,7,3,5] => [1,2,7,6,3,4,8,5] => [1,2,6,8,4,5,7,3] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,7,8,5,6,3,4] => [1,2,6,3,8,5,7,4] => [1,2,7,3,6,4,8,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,2,6,8,5,7,3,4] => [1,2,7,3,8,6,5,4] => [1,2,7,3,6,8,4,5] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,4,7,2,8,6,3,5] => [1,7,6,4,3,8,2,5] => [1,4,7,8,2,6,5,3] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,6,7,8,2,5,3,4] => [1,8,5,3,2,6,7,4] => [1,5,6,2,4,7,8,3] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,5,2,7,8,4,6,3] => [1,5,6,8,2,4,7,3] => [1,7,6,5,4,2,8,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,3,6,2,4,8,7,5] => [1,6,3,2,7,4,8,5] => [1,3,8,2,6,5,7,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,6,4,2,8,7,5] => [1,4,3,6,7,2,8,5] => [1,3,8,4,6,5,7,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,4,8,3,6,5] => [1,2,8,7,6,3,4,5] => [1,2,6,7,8,5,4,3] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,5,2,4,8,3,7,6] => [1,5,8,2,4,7,3,6] => [1,7,5,3,2,8,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,8,3,5,1,4,7,6] => [5,2,8,1,3,7,4,6] => [2,7,5,3,4,8,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,3,8,6,2,7,4,5] => [1,6,3,8,2,7,4,5] => [1,3,8,6,4,7,5,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,8,6,7,2,3,5] => [1,7,2,4,3,8,6,5] => [1,4,2,8,3,7,5,6] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,5,6,8,7,2,3,4] => [1,7,2,3,5,6,8,4] => [1,5,2,3,6,8,7,4] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,2,6,8,5,3,7,4] => [1,2,5,8,7,6,4,3] => [1,2,7,5,6,8,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,2,5,8,7,3,6,4] => [1,2,7,6,5,3,8,4] => [1,2,5,6,8,4,7,3] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,2,7,8,6,3,5,4] => [1,2,6,5,3,8,7,4] => [1,2,5,7,4,6,8,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,5,7,8,6,2,3,4] => [1,6,2,3,5,8,7,4] => [1,5,2,3,7,6,8,4] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,4,7,6,8,2,3,5] => [1,8,2,4,3,7,6,5] => [1,4,2,7,3,8,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,3,7,6,2,8,4,5] => [1,6,3,7,2,8,4,5] => [1,3,8,7,4,6,5,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,4,7,6,3,5] => [1,2,6,7,4,8,3,5] => [1,2,8,7,3,6,5,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,8,7,5,3,4] => [1,2,5,3,7,6,8,4] => [1,2,6,3,5,8,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[2,3,7,6,4,5,8,1] => [8,2,3,6,4,7,5,1] => [2,3,6,8,1,7,4,5] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,6,1,7,5,8,3,4] => [6,2,8,3,7,1,5,4] => [2,8,6,1,7,5,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,1,7,8,2,5] => [4,6,3,8,1,2,7,5] => [6,3,7,4,2,5,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[2,6,1,4,7,8,5,3] => [6,2,5,1,8,4,7,3] => [2,6,7,3,5,1,8,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,1,2,4,8,7,3,6] => [5,1,7,2,4,3,8,6] => [8,1,5,3,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,4,8,7,6,3] => [5,1,6,2,4,7,8,3] => [8,1,5,3,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,5,4,7,6] => [1,2,3,5,8,7,4,6] => [1,2,3,7,5,8,6,4] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,3,8,5,6,4,7] => [1,2,3,6,8,5,4,7] => [1,2,3,8,6,4,5,7] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,8,6,4,5,7] => [1,2,3,6,4,8,5,7] => [1,2,3,8,4,6,5,7] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,8,6,5,4,7] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,8,5,4,6,7] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[2,5,4,3,1,8,6,7] => [3,2,4,5,1,8,6,7] => [2,5,3,4,1,8,6,7] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[3,6,4,5,1,8,7,2] => [5,7,3,6,4,1,8,2] => [5,3,8,6,1,4,7,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,6,5,4,1,8,7,2] => [4,5,3,6,7,1,8,2] => [6,3,8,4,5,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,2,6,1,7,8,4,3] => [6,5,4,8,2,1,7,3] => [5,6,7,4,2,3,8,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[5,1,6,2,8,7,3,4] => [5,6,7,3,1,2,8,4] => [8,6,5,1,4,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,1,7,8,6,3] => [4,5,6,2,1,8,7,3] => [7,5,4,2,3,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,3,1,2,8,6,7,5] => [3,1,4,2,7,8,6,5] => [4,1,3,2,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[5,1,4,2,8,6,7,3] => [5,4,7,1,2,8,6,3] => [5,8,4,3,2,7,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,2,3,8,6,7,4,5] => [1,2,3,7,4,8,6,5] => [1,2,3,8,4,7,5,6] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,8,7,5,4,6] => [1,2,3,5,7,4,8,6] => [1,2,3,8,5,4,7,6] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,8,7,4,5,6] => [1,2,3,7,4,5,8,6] => [1,2,3,8,4,5,7,6] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,8,5,7,4,6] => [1,2,3,7,8,4,5,6] => [1,2,3,8,7,5,6,4] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,6,7,8] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,5,6,7,8] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,9,4,5,6,7,8] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,4,5,6,7,8] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,8] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,4,5,9,7,6,8] => [1,2,3,4,5,7,9,6,8] => [1,2,3,4,5,9,7,6,8] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,4,5,6,10,7,8,9] => [1,2,3,4,5,6,10,7,8,9] => [1,2,3,4,5,6,10,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,4,9,6,5,7,8] => [1,2,3,4,6,9,5,7,8] => [1,2,3,4,9,6,5,7,8] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,4,5,10,6,7,8,9] => [1,2,3,4,5,10,6,7,8,9] => [1,2,3,4,5,10,6,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,8,4,5,3,6,7] => [1,2,5,8,4,3,6,7] => [1,2,8,5,3,4,6,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,9,5,4,6,7,8] => [1,2,3,5,9,4,6,7,8] => [1,2,3,9,5,4,6,7,8] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,5,6,7,8,9] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,8,3,4,2,5,6,7] => [1,4,8,3,2,5,6,7] => [1,8,4,2,3,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,9,4,3,5,6,7,8] => [1,2,4,9,3,5,6,7,8] => [1,2,9,4,3,5,6,7,8] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,4,5,6,7,8,9] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,4,3,2,5,6,7] => [1,3,4,8,2,5,6,7] => [1,8,3,4,2,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,9,3,2,4,5,6,7,8] => [1,3,9,2,4,5,6,7,8] => [1,9,3,2,4,5,6,7,8] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,10,3,4,5,6,7,8,9] => [1,2,10,3,4,5,6,7,8,9] => [1,2,10,3,4,5,6,7,8,9] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,6,5,3,2,1] => [2,3,5,6,7,8,4,1] => [8,2,3,7,5,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,5,4,2,1] => [2,4,5,6,1,7,8,3] => [8,2,5,4,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,3,5,4,2,1] => [2,4,5,7,1,8,6,3] => [8,2,5,4,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,6,4,2,1] => [2,4,6,7,8,1,5,3] => [8,2,7,4,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,3,6,5,4,1] => [4,5,6,8,7,2,1,3] => [8,7,5,4,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,2,6,5,4,1] => [4,5,6,7,8,1,2,3] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,2,5,4,3,1] => [3,4,5,7,2,8,6,1] => [8,5,3,4,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,2,5,4,3,1] => [3,4,5,6,2,7,8,1] => [8,5,3,4,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,6,5,3,2] => [7,3,5,6,8,1,2,4] => [3,8,6,7,5,4,2,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,7,1,6,5,4,2] => [7,4,5,6,8,1,3,2] => [4,8,7,6,5,3,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,7,2,6,5,4,3] => [8,7,4,5,6,2,1,3] => [4,5,8,6,7,2,3,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,3,7,6,5,2,4,1] => [4,5,6,2,7,8,3,1] => [8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,6,4,1,3,2] => [4,3,1,6,7,8,2,5] => [3,8,2,4,7,6,5,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,7,6,5,1,4,2] => [5,4,6,1,7,8,3,2] => [7,8,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,7,6,2,5,1,4,3] => [5,6,4,1,2,7,8,3] => [5,4,8,3,2,6,7,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,7,6,1,5,2,4,3] => [6,5,4,2,1,7,8,3] => [4,5,8,2,3,6,7,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[6,8,1,4,2,5,3,7] => [8,4,5,1,2,6,3,7] => [4,6,5,3,2,8,1,7] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[7,8,3,6,1,4,2,5] => [6,4,8,1,2,3,7,5] => [6,7,4,3,2,5,8,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[7,8,2,5,3,6,1,4] => [6,8,5,1,2,3,7,4] => [6,5,7,3,4,2,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[7,8,1,4,3,6,2,5] => [8,6,4,1,2,3,7,5] => [4,6,7,3,2,5,8,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[5,8,1,4,3,7,2,6] => [8,7,4,1,5,2,3,6] => [4,5,7,3,8,2,6,1] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[2,5,3,7,6,8,1,4] => [8,2,5,1,3,7,6,4] => [2,5,7,3,4,8,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[2,6,5,8,1,4,3,7] => [8,2,4,1,6,5,3,7] => [2,4,6,3,8,1,5,7] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[2,6,1,5,3,7,4,8] => [6,2,5,7,1,3,4,8] => [2,6,7,5,4,3,1,8] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[2,6,3,7,4,8,1,5] => [8,2,6,7,1,3,4,5] => [2,6,8,7,4,5,3,1] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,6,4,7,5,8,1,3] => [8,2,1,6,7,4,5,3] => [2,6,1,8,7,4,3,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,8,2,6,4,7,1,3] => [7,8,1,6,5,2,4,3] => [6,5,2,7,8,4,1,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,8,1,5,2,6,3,7] => [8,5,6,4,1,2,3,7] => [4,6,5,8,3,2,1,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[5,8,1,3,2,6,4,7] => [8,3,1,6,5,2,4,7] => [3,5,2,6,8,4,1,7] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[6,8,5,7,1,3,2,4] => [7,3,1,2,8,6,5,4] => [3,7,2,1,6,8,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[4,7,1,3,2,6,5,8] => [7,3,1,4,6,2,5,8] => [3,4,2,6,7,5,1,8] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[3,7,6,8,2,5,1,4] => [5,8,3,1,2,7,6,4] => [5,3,7,2,4,8,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[4,7,5,8,3,6,1,2] => [6,1,8,4,7,3,5,2] => [6,1,4,8,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,7,5,8,2,6,1,3] => [6,8,1,4,7,2,5,3] => [6,4,2,8,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,7,5,8,2,6,1,4] => [6,8,3,1,7,2,5,4] => [6,3,8,2,7,5,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,7,4,8,2,6,1,5] => [6,8,3,7,1,2,4,5] => [6,3,8,7,4,5,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,7,4,8,1,5,2,6] => [8,5,3,7,1,2,4,6] => [3,5,8,7,4,2,6,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,7,1,5,2,6,4,8] => [7,5,3,6,1,2,4,8] => [3,5,7,6,4,2,1,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[3,7,2,6,5,8,1,4] => [8,7,3,1,6,2,5,4] => [3,6,7,2,8,5,1,4] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[4,7,3,6,5,8,1,2] => [8,1,7,4,6,3,5,2] => [4,1,6,7,8,3,2,5] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[3,6,5,8,4,7,1,2] => [7,1,3,8,6,5,4,2] => [3,1,7,6,8,2,4,5] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[7,6,8,3,5,2,4,1] => [4,5,8,2,3,7,6,1] => [7,5,4,2,1,8,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,6,3,5,8,2,4,1] => [4,8,6,2,3,7,5,1] => [8,4,6,2,1,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,8,2,4,1,5] => [4,8,6,2,1,7,3,5] => [8,4,6,2,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,3,6,2,1,4] => [2,6,8,1,5,3,7,4] => [6,2,5,3,7,4,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[6,3,4,8,7,2,5,1] => [5,7,6,3,2,4,8,1] => [8,5,6,1,3,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,8,2,1,4] => [2,8,7,1,5,3,6,4] => [5,2,7,3,8,4,1,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,6,7,3,4,1,8,2] => [4,8,7,3,5,6,1,2] => [6,4,5,1,7,8,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,3,4,7,8,2,1,6] => [2,8,5,3,4,1,7,6] => [5,2,7,1,3,4,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[4,8,3,6,2,5,7,1] => [7,6,8,4,2,3,5,1] => [6,7,4,8,2,3,1,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[4,8,3,5,6,7,2,1] => [2,7,8,4,3,5,6,1] => [7,2,4,8,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,8,3,5,6,2,1] => [2,6,8,4,3,5,7,1] => [6,2,4,7,1,3,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[4,8,3,6,7,2,5,1] => [5,7,8,4,2,3,6,1] => [7,5,4,8,2,1,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,8,3,7,2,5,6,1] => [6,7,8,4,2,5,3,1] => [7,6,4,8,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,2,5,1,8,7,3] => [5,4,6,7,3,1,8,2] => [6,8,5,4,1,3,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,4,3,5,8,2,1,7] => [2,8,4,6,3,5,1,7] => [4,2,8,6,1,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,7,3,4,8,2,1,6] => [2,8,7,3,5,1,4,6] => [5,2,7,1,8,4,6,3] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,8,4,2,3,1,6,7] => [3,4,2,8,5,1,6,7] => [5,3,1,4,8,2,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,4,5,3,8,2,1,7] => [2,8,5,6,4,3,1,7] => [5,2,8,6,1,3,4,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,4,8,5,3,7,2,1] => [2,7,5,8,6,3,4,1] => [6,2,8,5,7,3,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,4,3,8,5,7,2,1] => [2,7,4,6,8,3,5,1] => [4,2,8,7,6,3,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,4,5,3,7,1,8,2] => [7,8,5,6,4,3,1,2] => [6,5,8,7,1,2,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,6,3,7,1,8,2,4] => [7,8,6,2,5,3,1,4] => [6,5,7,2,8,3,4,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,6,3,4,8,2,1,7] => [2,8,6,3,5,4,1,7] => [5,2,6,1,8,3,4,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[6,4,3,5,7,1,8,2] => [7,8,4,6,3,5,1,2] => [6,4,8,7,1,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,4,2,5,1,7,3,8] => [5,4,6,7,3,1,2,8] => [6,7,5,4,1,3,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[5,3,4,7,2,6,1,8] => [6,7,5,3,4,2,1,8] => [6,5,7,1,2,3,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[4,7,3,6,2,5,8,1] => [8,6,7,4,2,3,5,1] => [4,7,6,8,2,3,1,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,5,8,3,6,7,2,1] => [2,7,8,4,5,3,6,1] => [5,2,4,7,8,1,3,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,6,3,5,7,8,2,1] => [2,8,6,4,3,5,7,1] => [4,2,6,7,1,3,8,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[3,2,6,5,1,8,7,4] => [5,3,2,6,7,4,8,1] => [3,8,1,6,5,2,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,7,2,8,4,1] => [4,8,3,7,5,6,1,2] => [4,3,6,5,7,8,2,1] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[4,5,6,7,8,9,3,2,1] => [2,3,9,4,5,6,7,8,1] => [4,2,3,5,6,7,8,9,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,4,5,6,7,8,9,2,1] => [2,9,3,4,5,6,7,8,1] => [3,2,4,5,6,7,8,9,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,5,6,7,8,9,10,3,2,1] => [2,3,10,4,5,6,7,8,9,1] => [4,2,3,5,6,7,8,9,10,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,4,5,6,7,8,9,10,2,1] => [2,10,3,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,9,10,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => [1,5,7,2,4,8,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => [1,6,2,8,7,5,4,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,3,5,2,8,4,7,6] => [1,5,3,8,2,7,4,6] => [1,3,7,5,4,8,6,2] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => [1,2,5,7,4,3,6,8] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => [1,6,7,2,8,4,5,3] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,5,8,2,3,7,4,6] => [1,8,2,7,5,4,3,6] => [1,5,2,7,8,3,6,4] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => [1,5,2,6,4,8,3,7] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[5,3,6,1,2,4,8,7] => [6,1,5,2,3,4,8,7] => [5,1,6,3,4,2,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[7,1,5,8,4,2,3,6] => [7,4,2,8,1,3,5,6] => [7,8,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,5,7,4,2,3,6] => [8,4,2,7,1,3,5,6] => [4,8,1,7,3,5,6,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,5,8,2,3,6] => [7,8,2,1,4,3,5,6] => [8,7,1,3,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,7,2,6,3,5] => [4,8,7,6,1,3,2,5] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,4,7,2,3,6] => [8,7,2,5,1,3,4,6] => [5,7,1,8,4,3,6,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[2,1,7,5,8,3,4,6] => [2,1,8,3,7,4,5,6] => [2,1,7,3,8,5,6,4] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[7,1,5,4,8,2,3,6] => [7,8,2,5,1,3,4,6] => [7,5,1,8,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,1,4,8,5,2,3,6] => [7,5,2,1,8,3,4,6] => [7,8,1,3,5,4,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,4,1,7,2,3,8,5] => [4,6,1,7,8,2,3,5] => [8,7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,1,2,4,6,5] => [3,1,8,2,6,4,7,5] => [6,1,3,2,7,5,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[7,6,1,8,4,2,3,5] => [6,4,1,7,3,8,2,5] => [7,8,2,4,1,6,5,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,8,1,2,4,6,5] => [8,1,7,2,6,4,3,5] => [6,1,7,3,8,4,5,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,3,7,1,2,4,6,5] => [7,1,8,2,6,4,3,5] => [7,1,6,3,8,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,3,6,1,2,4,7,5] => [6,1,8,2,7,3,4,5] => [8,1,6,3,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,5,1,2,4,6] => [5,1,7,3,8,4,2,6] => [8,1,7,2,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,5,4,2,3,6] => [7,4,2,5,8,3,1,6] => [4,8,1,7,5,2,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,8,5,3,4,6] => [2,1,5,3,8,4,7,6] => [2,1,7,3,5,4,8,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[6,1,2,3,8,7,5,4] => [6,1,2,5,7,3,8,4] => [6,1,2,8,5,4,7,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,8,1,4,2,3,7,5] => [8,4,2,1,7,6,3,5] => [4,6,1,3,7,8,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[6,7,3,1,2,8,4,5] => [3,1,7,8,4,6,2,5] => [7,1,3,6,2,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,3,6,8,5,7,1,2] => [7,1,4,3,8,6,5,2] => [4,1,7,2,6,8,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[7,2,1,5,8,3,4,6] => [2,7,8,3,1,4,5,6] => [8,2,7,1,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,1,8,4,2,7] => [6,4,3,8,5,1,2,7] => [3,5,6,4,8,2,1,7] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[5,7,1,6,8,4,3,2] => [7,3,4,8,5,1,6,2] => [3,7,5,4,8,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[8,3,6,4,7,2,5,1] => [5,7,8,6,2,3,4,1] => [8,6,5,7,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,8,4,6,2,5,3] => [1,6,5,8,2,4,7,3] => [1,6,7,5,4,2,8,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[3,7,4,8,5,1,6,2] => [5,8,3,6,7,2,1,4] => [5,3,8,7,6,2,4,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,7,3,1,5,8,4,6] => [3,2,7,8,1,4,5,6] => [2,8,3,7,4,5,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,6,7,5,4,3,1] => [3,4,5,7,8,1,6,2] => [8,7,3,4,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,1,6,4,5,2] => [7,5,3,6,4,1,8,2] => [3,5,8,6,1,4,7,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,6,8,2,7,4,1,5] => [4,7,3,8,2,6,1,5] => [6,3,7,4,1,8,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[4,1,3,7,5,6,8,2] => [4,8,1,3,7,5,6,2] => [7,4,2,1,8,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,3,8,1,7,4,2,5] => [8,4,7,6,3,2,1,5] => [4,8,6,7,1,3,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,5,8,2,7] => [6,8,3,1,4,5,2,7] => [6,3,8,2,1,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,6,7,4,5,3,8,2] => [1,8,5,7,4,6,3,2] => [1,5,7,6,2,8,3,4] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[6,1,7,3,5,4,8,2] => [6,8,7,5,3,1,4,2] => [7,5,6,8,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,8,4,1,7,5,6,3] => [4,2,8,6,7,5,3,1] => [2,8,4,6,7,1,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,4,3,7,5,6,1] => [6,8,4,2,7,5,3,1] => [6,4,8,2,7,1,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,3,4,2,8,7,5,1] => [5,4,7,1,6,2,8,3] => [5,8,4,3,6,2,7,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,3,8,7,5,2,6,1] => [6,5,4,3,7,2,8,1] => [4,6,8,1,5,2,7,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[3,6,4,5,2,8,7,1] => [7,5,3,6,4,2,8,1] => [3,5,8,6,1,2,7,4] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[8,6,1,3,5,4,2,7] => [6,4,1,5,3,8,2,7] => [4,8,2,5,1,6,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,3,8,6,1,2,4,7] => [6,1,5,2,3,8,4,7] => [5,1,8,3,4,6,2,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,5,6,3,4,8,7,1] => [7,2,6,3,5,4,8,1] => [2,5,6,1,8,3,7,4] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[4,8,7,3,5,2,6,1] => [6,5,7,4,3,2,8,1] => [5,6,4,8,1,2,7,3] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[3,8,7,2,6,4,5,1] => [5,7,3,6,4,2,8,1] => [5,3,8,6,1,2,7,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,3,5,4,8,7,2,1] => [2,7,6,5,3,4,8,1] => [5,2,6,8,3,1,7,4] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[4,3,8,6,1,5,2,7] => [6,5,4,3,1,8,2,7] => [4,5,8,1,3,6,2,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,5,2,6,8,1,4,3] => [8,5,4,1,7,2,6,3] => [4,5,8,3,7,2,1,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,5,2,7,1,4,3,6] => [7,5,4,1,8,3,2,6] => [4,7,8,3,5,1,6,2] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,8,5,3,6,2,4,7] => [1,6,5,2,8,3,4,7] => [1,6,8,3,5,4,2,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,5,3,4,8,6,2,7] => [1,6,5,3,4,8,2,7] => [1,5,8,2,3,6,4,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,1,3,8,6,2,7] => [4,5,2,6,3,8,1,7] => [8,5,1,4,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,7,6,4,5,1] => [5,8,2,6,4,7,3,1] => [8,5,1,6,2,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,4,7,6,3,1] => [3,6,7,2,5,8,4,1] => [7,5,3,1,8,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,2,5,3,4,7,1] => [7,8,5,3,2,6,4,1] => [6,5,7,1,3,8,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[7,2,5,6,4,8,1,3] => [8,7,1,6,2,5,4,3] => [6,7,2,8,4,1,3,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,6,7,4,8,2,3,5] => [1,8,2,7,3,6,4,5] => [1,6,2,7,4,8,5,3] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[7,1,3,5,8,2,6,4] => [7,8,1,6,3,2,5,4] => [7,6,2,8,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,1,3,5,6,7,4] => [2,8,1,7,3,5,6,4] => [7,2,1,8,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,1,3,8,2,6,7,5] => [4,8,1,3,7,2,6,5] => [7,4,2,1,8,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,1,7,2,8,5,4,6] => [3,7,1,5,8,4,2,6] => [7,3,2,8,5,1,6,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,6,1,4,7,2,8,5] => [6,7,3,1,8,4,2,5] => [7,3,8,2,6,4,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,2,7,4,5,8,1,3] => [8,6,1,7,4,2,5,3] => [6,8,2,7,1,5,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,8,5,7,3,2,4,6] => [1,3,7,2,8,4,5,6] => [1,8,3,2,7,5,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,8,5,4,3,6,7] => [2,1,4,5,8,3,6,7] => [2,1,8,4,5,3,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[7,4,8,6,2,3,1,5] => [3,6,2,8,4,7,1,5] => [8,3,1,6,2,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,4,6,3,8,5] => [7,2,6,1,8,4,3,5] => [2,7,8,3,6,4,5,1] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,7,5,6,8,1,3,2] => [8,3,1,4,7,5,6,2] => [3,4,2,7,8,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[3,8,6,5,1,4,2,7] => [5,4,3,1,6,8,2,7] => [3,4,8,2,5,6,1,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,3,4,8,6,5,2,7] => [1,5,3,4,6,8,2,7] => [1,3,4,8,5,6,2,7] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[4,1,8,6,5,3,2,7] => [4,3,5,1,6,8,2,7] => [4,8,3,2,5,6,1,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,8,5,2,7,3,6,1] => [6,5,8,4,7,2,3,1] => [5,7,4,8,6,2,1,3] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[5,7,4,3,6,2,8,1] => [8,6,4,7,5,3,2,1] => [4,6,7,5,8,1,2,3] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[6,7,5,1,2,8,3,4] => [5,1,7,2,8,6,3,4] => [7,1,6,3,5,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,2,6,8,3,4,7,1] => [7,5,8,3,2,6,4,1] => [6,7,5,1,3,8,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[7,6,2,4,5,8,3,1] => [3,8,6,1,4,7,5,2] => [8,3,6,2,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,4,7,2,5,1] => [5,7,3,8,2,6,4,1] => [6,3,7,5,2,8,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[7,6,3,8,4,2,5,1] => [5,4,8,6,3,7,2,1] => [6,8,4,5,1,7,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,6,3,8,4,7,5,1] => [5,2,7,6,8,4,1,3] => [2,8,6,7,5,1,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,3,6,4,5,7,1] => [7,2,8,6,4,3,5,1] => [2,7,6,8,1,4,3,5] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,1,5,6,8,3,7,4] => [2,1,8,7,5,6,3,4] => [2,1,5,6,7,8,4,3] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[6,5,7,2,8,4,1,3] => [4,8,2,7,6,5,1,3] => [7,4,1,6,8,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,5,1,2,8,4,6,3] => [5,1,7,6,8,2,3,4] => [8,1,6,7,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,3,6,2,7,1] => [7,6,8,5,4,3,2,1] => [6,7,5,8,1,2,3,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,8,2,7,4,3,6,1] => [6,8,4,7,5,3,2,1] => [6,4,7,5,8,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,7,3,6,4,8,2,1] => [2,8,7,6,5,3,4,1] => [5,2,6,7,8,3,1,4] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,5,6,4,8,2,7,3] => [1,8,7,6,5,4,2,3] => [1,5,6,7,8,2,4,3] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[3,1,5,6,4,8,7,2] => [3,7,1,6,5,4,8,2] => [5,3,2,6,8,1,7,4] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[3,5,1,6,4,7,8,2] => [5,8,3,6,1,4,7,2] => [5,3,7,6,4,1,8,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[3,6,1,4,2,7,8,5] => [6,4,3,1,8,2,7,5] => [3,4,7,2,6,5,8,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[2,4,6,3,1,7,8,5] => [3,2,6,4,8,1,7,5] => [2,4,3,7,6,5,8,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[2,3,5,1,8,4,7,6] => [5,2,3,8,1,7,4,6] => [2,3,7,5,4,8,6,1] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,2,7,4,6,8,3,5] => [1,2,8,7,3,4,6,5] => [1,2,7,8,4,5,3,6] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,2,7,6,4,8,5,3] => [1,2,5,8,6,7,3,4] => [1,2,8,5,6,7,4,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,3,6,8,5,4] => [1,2,7,5,8,3,6,4] => [1,2,7,8,5,4,3,6] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[2,3,6,1,8,5,7,4] => [6,2,3,7,8,1,5,4] => [2,3,8,7,6,5,1,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,4,8,7,6,2] => [3,6,1,5,4,7,8,2] => [5,3,2,8,1,6,7,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,2,6,8,5,4,7,3] => [1,2,7,5,8,6,4,3] => [1,2,6,7,5,8,3,4] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,3,6,8,5,2,7,4] => [1,5,3,8,7,6,4,2] => [1,3,7,5,6,8,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,4,7,6,8,3,1,5] => [3,2,8,4,1,7,6,5] => [2,4,3,7,1,8,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,3,6,8,5,2,4,7] => [1,5,3,2,8,6,4,7] => [1,3,6,2,5,8,4,7] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,2,6,8,5,4,3,7] => [1,2,4,5,8,6,3,7] => [1,2,6,4,5,8,3,7] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,2,5,8,4,3,7,6] => [1,2,4,8,5,7,3,6] => [1,2,5,4,7,8,6,3] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,5,8,2,4,7,6] => [1,8,3,2,5,7,4,6] => [1,3,5,2,7,8,6,4] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,3,6,8,2,5,4,7] => [1,8,3,5,2,6,4,7] => [1,3,5,6,4,8,2,7] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[2,3,6,7,5,8,1,4] => [8,2,3,1,7,6,5,4] => [2,3,6,1,7,8,4,5] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,3,7,5,6,8,2,4] => [1,8,3,2,7,5,6,4] => [1,3,7,2,8,4,5,6] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[3,4,6,2,8,1,7,5] => [8,6,3,4,7,2,1,5] => [3,4,6,8,7,2,5,1] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,4,6,8,1,2,7] => [8,1,3,5,4,6,2,7] => [3,1,5,6,2,8,4,7] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,2,4,7,5,8,3,6] => [1,2,8,4,7,3,5,6] => [1,2,4,7,8,5,6,3] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[3,1,5,7,6,8,4,2] => [3,4,1,8,5,7,6,2] => [5,3,2,4,7,8,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,2,7,4,6,8,5,3] => [1,2,5,8,7,3,6,4] => [1,2,8,5,7,4,3,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,2,7,5,8,3,1] => [3,8,6,4,7,1,5,2] => [6,3,4,8,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,5,7,4,8,2,6,1] => [6,8,3,7,5,2,4,1] => [5,3,7,6,8,2,1,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[2,4,7,6,8,3,5,1] => [5,2,8,4,3,7,6,1] => [2,5,4,7,1,8,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,4,6,8,3,5,7,2] => [1,7,8,4,3,6,5,2] => [1,6,4,7,2,8,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,2,5,8,4,7,6,3] => [1,2,6,7,5,8,3,4] => [1,2,7,5,8,6,4,3] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,2,4,8,7,3,6,5] => [1,2,7,4,6,3,8,5] => [1,2,4,6,8,5,7,3] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,5,8,7,2,4,6] => [1,7,3,2,5,4,8,6] => [1,3,5,2,8,4,7,6] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[5,7,1,2,8,6,4,3] => [7,1,4,6,5,8,2,3] => [4,1,7,5,8,6,3,2] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,2,6,8,5,7,4,3] => [1,2,4,7,8,6,5,3] => [1,2,7,4,6,8,3,5] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,2,4,8,7,6,3,5] => [1,2,6,4,3,7,8,5] => [1,2,4,8,3,6,7,5] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[6,4,5,7,2,8,1,3] => [8,7,1,6,4,5,2,3] => [6,7,2,8,1,3,5,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,3,4,7,2,8,1,6] => [8,7,5,3,4,1,2,6] => [5,7,8,1,2,4,6,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[5,3,6,2,7,1,4,8] => [7,6,5,1,3,2,4,8] => [5,6,7,3,2,4,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[2,5,7,3,6,8,1,4] => [8,2,7,1,5,3,6,4] => [2,5,7,3,8,4,1,6] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[6,4,1,3,8,5,7,2] => [4,6,2,7,8,3,5,1] => [8,7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,1,8,4,7,5] => [3,6,2,8,7,1,4,5] => [8,3,1,6,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,2,7,1,4,6] => [7,5,8,1,3,4,2,6] => [7,8,5,3,2,1,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,6,2,4,7,1,5,3] => [7,6,5,2,1,8,4,3] => [5,7,8,2,4,6,1,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,6,3,7,2,4,5,1] => [5,7,6,2,4,8,3,1] => [8,5,7,2,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,3,4,5,6,1] => [6,8,7,3,4,5,2,1] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,8,3,4,5,6] => [2,7,8,3,4,5,1,6] => [8,2,7,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,2,4,5,6,1] => [6,8,7,2,4,5,3,1] => [8,6,7,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,3,4,5,6,1] => [6,7,8,3,4,5,2,1] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,1,8,3,6,4] => [7,2,8,6,5,3,1,4] => [2,6,5,7,8,3,4,1] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,1,3,6,8,2,7,5] => [4,8,1,3,7,6,2,5] => [6,4,2,1,7,8,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,3,4,6,8,2,7,1] => [7,8,5,3,4,6,2,1] => [6,5,7,1,2,8,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[4,6,3,8,7,1,2,5] => [7,1,6,4,2,3,8,5] => [4,1,6,8,3,5,7,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[6,4,5,8,7,1,2,3] => [7,1,2,6,4,5,8,3] => [6,1,2,8,3,4,7,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,3,4,8,7,1,2,6] => [7,1,5,3,4,2,8,6] => [5,1,8,2,3,4,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,8,3,7,2,4,5,6] => [1,7,8,2,4,5,3,6] => [1,8,7,3,2,4,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,2,3,5,1,4,7] => [5,8,2,1,3,6,4,7] => [6,5,1,3,4,8,2,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,7,8,2,6,1,3,5] => [6,8,1,4,3,2,7,5] => [6,4,2,7,1,5,8,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,7,6,2,3,4,5,8] => [1,6,2,3,4,7,5,8] => [1,7,2,3,4,6,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,8,6,2,3,4,5,7] => [1,6,2,3,4,8,5,7] => [1,8,2,3,4,6,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,7,2,4,5,6,1] => [6,7,3,2,4,5,8,1] => [6,3,8,1,2,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,4,7,2,5,1,8,6] => [5,7,3,4,2,8,1,6] => [4,3,5,8,1,7,6,2] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[4,1,8,5,3,2,7,6] => [4,3,5,1,8,7,2,6] => [4,7,3,2,5,8,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,2,8,3,7,5,4,6] => [1,2,8,5,7,4,3,6] => [1,2,5,8,7,3,6,4] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[4,3,8,1,2,6,7,5] => [8,1,4,3,7,2,6,5] => [4,1,7,2,8,5,3,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,2,3,4,5,10,9,8,7,6] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,7,8,9,6] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,7,2,4,8,1,3] => [8,7,1,2,6,5,4,3] => [6,7,2,3,8,1,4,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,2,8,4,7,3,1,6] => [3,7,5,8,1,2,4,6] => [8,3,7,5,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,1,2,8,7,6] => [5,1,4,3,2,7,8,6] => [4,1,5,2,3,8,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,4,6,5,2,8,7,3] => [1,5,6,4,7,3,8,2] => [1,6,4,8,5,2,7,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[8,1,4,7,2,3,6,5] => [8,7,2,1,6,3,4,5] => [6,7,1,3,8,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,4,8,1,6,3,2,7] => [8,3,6,5,4,1,2,7] => [3,6,5,8,1,4,2,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[4,6,3,7,5,8,1,2] => [8,1,6,4,7,3,5,2] => [4,1,6,8,7,3,2,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[5,7,4,3,8,1,2,6] => [8,1,4,7,5,2,3,6] => [4,1,7,5,8,3,6,2] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,4,8,3,7,6,5,2] => [1,5,6,4,7,8,3,2] => [1,7,4,8,5,6,2,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,3,8,2,1,6,5,7] => [2,8,4,3,6,1,5,7] => [4,2,6,1,8,5,3,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[3,8,4,2,7,1,5,6] => [7,4,3,8,1,5,2,6] => [3,7,8,4,2,1,6,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,8,2,7,6,5,4,3] => [1,8,4,5,6,7,2,3] => [1,4,8,5,6,7,3,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,8,1,6,7,5,4,2] => [8,4,3,5,7,1,6,2] => [3,4,8,5,7,2,1,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[7,2,3,8,5,6,1,4] => [6,7,2,1,8,5,3,4] => [8,7,1,3,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,3,6,1,5,7] => [6,8,4,2,1,3,5,7] => [6,4,8,2,3,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,8,7,1,4,2,5,3] => [7,4,5,1,2,6,8,3] => [4,6,5,3,2,8,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[3,6,1,4,2,7,5,8] => [6,4,3,1,7,2,5,8] => [3,4,7,2,6,5,1,8] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[3,4,1,8,5,7,6,2] => [4,6,3,1,7,8,2,5] => [4,3,8,2,7,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,1,7,6,2,4,3,5] => [8,6,4,2,3,7,1,5] => [4,6,8,2,1,7,5,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,8,6,5,7,3,4,2] => [1,4,7,3,6,8,5,2] => [1,7,4,2,8,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,1,5,8,7,6,3,2] => [4,3,6,1,5,7,8,2] => [4,5,3,2,8,6,7,1] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,2,5,8,6,7,3,4] => [1,2,7,3,5,8,6,4] => [1,2,5,3,8,7,4,6] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[4,2,1,5,8,7,3,6] => [2,4,7,1,5,3,8,6] => [5,2,4,3,8,1,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,5,3,6,8,7,4,2] => [1,4,7,5,2,6,8,3] => [1,6,4,5,3,8,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[3,1,5,7,6,8,2,4] => [3,8,1,2,5,7,6,4] => [5,3,2,1,7,8,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,4,5,6,8,7,2,3] => [1,7,2,4,5,6,8,3] => [1,4,2,5,6,8,7,3] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,4,6,3,7,2,8,5] => [1,7,6,4,8,3,2,5] => [1,4,7,8,6,3,5,2] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,7,3,6,5,2,8,4] => [1,5,6,7,8,4,3,2] => [1,8,7,6,5,2,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,7,6,2,8,5] => [1,6,3,4,7,8,5,2] => [1,3,4,8,7,6,2,5] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,8,3,6,1,7,5,4] => [6,2,8,5,7,3,1,4] => [2,7,5,8,6,3,4,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,7,2,5,1,6,4,3] => [5,7,4,6,2,1,8,3] => [6,4,8,5,2,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,8,2,5,4,1,6,3] => [4,5,8,6,3,2,7,1] => [7,6,4,5,1,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,1,3,6,2,8,5,4] => [7,6,1,5,8,3,2,4] => [6,7,2,8,5,3,4,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,2,4,7,3,8,6,5] => [1,2,7,4,6,8,3,5] => [1,2,4,7,8,6,5,3] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[3,1,8,6,2,7,5,4] => [3,6,1,5,8,7,4,2] => [6,3,2,8,5,7,1,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,6,1,8,2,7,4,3] => [6,8,4,7,5,1,2,3] => [6,4,7,5,8,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[4,2,7,8,1,6,5,3] => [8,4,5,2,6,1,7,3] => [4,7,5,2,6,3,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,2,8,1,6,5,4,3] => [8,7,4,5,6,1,2,3] => [4,5,8,6,7,3,2,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[3,8,7,1,6,5,4,2] => [7,4,3,5,6,1,8,2] => [3,4,8,5,6,2,7,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,8,7,5,1,6,3,2] => [5,3,7,4,6,2,8,1] => [4,5,3,8,6,1,7,2] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[6,7,8,5,1,4,3,2] => [5,3,4,1,8,6,7,2] => [3,6,4,2,5,7,8,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,3,8,4,1,7,2] => [4,8,7,6,5,1,2,3] => [7,4,5,6,8,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,3,8,5,4,1,6,2] => [4,5,8,6,7,3,2,1] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,6,2,7,5,3] => [1,6,5,4,8,7,3,2] => [1,4,6,8,5,7,2,3] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[8,4,6,7,1,5,3,2] => [7,3,5,8,1,4,6,2] => [3,8,7,5,4,1,2,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,2,8,6,4] => [5,1,7,6,3,8,2,4] => [8,1,5,7,3,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,2,3,8,7,5] => [1,6,2,4,7,3,8,5] => [1,4,2,8,6,5,7,3] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,3,1,7,6,4,8,5] => [3,2,1,6,7,8,5,4] => [2,3,1,8,7,6,4,5] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,7,2,3,8,6,5,4] => [1,7,2,5,6,8,3,4] => [1,5,2,8,7,6,4,3] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[8,7,1,2,6,5,4,3] => [7,1,4,5,6,2,8,3] => [4,1,8,5,6,3,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,8,1,6,2,7,5,4] => [8,6,3,5,7,1,2,4] => [3,5,7,8,6,4,2,1] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[4,1,5,3,8,2,7,6] => [4,8,5,1,3,7,2,6] => [7,4,5,3,1,8,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,3,6,4,2,8,1,5] => [8,4,6,7,1,2,3,5] => [4,8,7,6,3,5,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,8,3,2,6,7] => [4,3,5,8,2,1,6,7] => [5,8,3,4,1,2,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,5,2,8,3,4,7,1] => [7,5,6,2,8,3,4,1] => [6,8,7,2,5,3,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,6,3,1,8,2,7,5] => [3,6,8,4,7,2,1,5] => [6,4,3,8,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,8,4,2,7,3,1,6] => [3,7,4,8,5,2,1,6] => [7,3,5,4,8,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,1,7,3,5,6,4,2] => [8,4,6,7,2,5,1,3] => [4,8,7,6,2,1,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,1,7,4,5,2,3] => [6,5,2,8,1,7,4,3] => [6,8,1,5,4,7,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,3,7,2,6,5,4] => [8,7,1,5,6,2,3,4] => [5,6,2,8,7,4,3,1] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,7,6,8,3,2,4,5] => [1,3,8,2,4,7,6,5] => [1,7,3,2,4,8,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,8,5,3,4,6,1] => [6,7,5,3,8,4,2,1] => [7,6,8,1,5,2,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => [1,2,6,3,7,5,4,8] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,7,8,4,3,5,6,2] => [1,6,4,8,3,5,7,2] => [1,6,7,4,2,3,8,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[2,6,1,7,3,5,4,8] => [6,2,7,5,3,1,4,8] => [2,6,5,7,3,4,1,8] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[4,3,1,6,8,2,7,5] => [3,4,8,2,7,6,1,5] => [6,4,3,1,7,8,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,8,3,2,6,4,1,7] => [4,3,6,8,5,1,2,7] => [5,6,3,4,8,2,1,7] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[2,6,8,7,3,4,1,5] => [4,2,7,3,1,6,8,5] => [2,6,4,1,3,8,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[3,8,7,4,5,6,1,2] => [6,1,3,7,4,5,8,2] => [3,1,8,6,2,4,7,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,8,6,5,3,2,4,7] => [1,3,5,2,6,8,4,7] => [1,8,3,2,5,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,7,4,6,2,5,1] => [5,6,3,7,2,4,8,1] => [6,3,8,5,2,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,8,3,2,5,4,7,1] => [7,3,8,5,2,6,4,1] => [5,6,3,7,2,8,1,4] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[6,8,4,5,2,3,7,1] => [7,5,2,8,4,6,3,1] => [6,7,1,5,2,8,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,3,8,1,5,4,7,2] => [8,7,6,5,1,3,4,2] => [5,6,7,8,4,2,1,3] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[6,2,1,8,5,4,7,3] => [2,6,7,5,8,1,4,3] => [7,2,6,8,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,6,3,1,7,5,4,8] => [3,2,6,5,7,1,4,8] => [2,6,3,7,5,4,1,8] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[2,4,7,5,8,1,6,3] => [8,2,6,4,7,1,5,3] => [2,4,6,8,7,5,1,3] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[5,2,1,8,7,6,4,3] => [2,5,4,6,1,7,8,3] => [5,2,8,4,3,6,7,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,8,5,7,6,1,3,2] => [6,3,1,4,7,8,2,5] => [3,4,2,8,7,6,5,1] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[4,8,7,5,6,2,3,1] => [3,6,2,4,7,5,8,1] => [4,3,1,8,6,2,7,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,8,4,7,2,6,3,1] => [3,6,7,8,5,1,4,2] => [7,6,3,5,8,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,5,7,3,2,8,6,4] => [1,3,7,6,5,8,2,4] => [1,5,3,7,8,6,4,2] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[5,2,1,4,3,6,7,8] => [2,5,4,1,3,6,7,8] => [4,2,5,3,1,6,7,8] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[3,6,4,5,1,2,7,8] => [5,1,3,6,4,2,7,8] => [3,1,6,5,2,4,7,8] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[4,2,1,5,7,6,3,8] => [2,4,6,1,5,7,3,8] => [5,2,4,3,7,6,1,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[2,1,4,3,6,5,10,9,7,8] => [2,1,4,3,6,5,9,7,10,8] => [2,1,4,3,6,5,10,7,9,8] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,8,7,5,6,10,9] => [2,1,4,3,7,5,8,6,10,9] => [2,1,4,3,8,5,7,6,10,9] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,6,5,3,4,8,7,10,9] => [2,1,5,3,6,4,8,7,10,9] => [2,1,6,3,5,4,8,7,10,9] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,6,5,3,4,10,9,7,8] => [2,1,5,3,6,4,9,7,10,8] => [2,1,6,3,5,4,10,7,9,8] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,3,1,2,6,5,8,7,10,9] => [3,1,4,2,6,5,8,7,10,9] => [4,1,3,2,6,5,8,7,10,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[4,3,1,2,6,5,10,9,7,8] => [3,1,4,2,6,5,9,7,10,8] => [4,1,3,2,6,5,10,7,9,8] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[4,3,1,2,8,7,5,6,10,9] => [3,1,4,2,7,5,8,6,10,9] => [4,1,3,2,8,5,7,6,10,9] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,4,3,6,5,8,7,12,11,9,10] => [2,1,4,3,6,5,8,7,11,9,12,10] => [2,1,4,3,6,5,8,7,12,9,11,10] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,6,5,10,9,7,8,12,11] => [2,1,4,3,6,5,9,7,10,8,12,11] => [2,1,4,3,6,5,10,7,9,8,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,4,3,8,7,5,6,10,9,12,11] => [2,1,4,3,7,5,8,6,10,9,12,11] => [2,1,4,3,8,5,7,6,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,8,7,5,6,12,11,9,10] => [2,1,4,3,7,5,8,6,11,9,12,10] => [2,1,4,3,8,5,7,6,12,9,11,10] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[2,1,6,5,3,4,8,7,10,9,12,11] => [2,1,5,3,6,4,8,7,10,9,12,11] => [2,1,6,3,5,4,8,7,10,9,12,11] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,6,5,3,4,8,7,12,11,9,10] => [2,1,5,3,6,4,8,7,11,9,12,10] => [2,1,6,3,5,4,8,7,12,9,11,10] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,6,5,3,4,10,9,7,8,12,11] => [2,1,5,3,6,4,9,7,10,8,12,11] => [2,1,6,3,5,4,10,7,9,8,12,11] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[4,3,1,2,6,5,8,7,10,9,12,11] => [3,1,4,2,6,5,8,7,10,9,12,11] => [4,1,3,2,6,5,8,7,10,9,12,11] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[4,3,1,2,6,5,8,7,12,11,9,10] => [3,1,4,2,6,5,8,7,11,9,12,10] => [4,1,3,2,6,5,8,7,12,9,11,10] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[4,3,1,2,6,5,10,9,7,8,12,11] => [3,1,4,2,6,5,9,7,10,8,12,11] => [4,1,3,2,6,5,10,7,9,8,12,11] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[4,3,1,2,8,7,5,6,10,9,12,11] => [3,1,4,2,7,5,8,6,10,9,12,11] => [4,1,3,2,8,5,7,6,10,9,12,11] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[4,3,1,2,8,7,5,6,12,11,9,10] => [3,1,4,2,7,5,8,6,11,9,12,10] => [4,1,3,2,8,5,7,6,12,9,11,10] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[2,4,6,8,1,3,5,7,9] => [8,2,1,4,3,6,5,7,9] => [2,4,1,6,3,8,5,7,9] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[2,1,7,3,8,4,6,5] => [2,1,7,8,6,4,3,5] => [2,1,7,6,8,4,5,3] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[4,1,8,2,7,3,6,5] => [4,8,7,1,6,3,2,5] => [7,4,6,3,8,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,1,7,2,8,3,6,5] => [4,7,8,1,6,3,2,5] => [7,6,4,3,8,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,3,2,8,4,6,5] => [7,3,1,8,6,4,2,5] => [3,7,2,6,8,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[5,1,7,2,8,3,6,4] => [5,7,8,6,1,3,2,4] => [8,6,5,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,2,7,3,6,4] => [5,8,7,6,1,3,2,4] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,2,4,3,7,5] => [8,6,4,2,7,1,3,5] => [4,6,8,2,7,5,3,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[6,1,8,2,4,3,7,5] => [6,8,4,2,7,1,3,5] => [6,4,8,2,7,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,8,2,5,3,7,4] => [6,8,5,7,2,1,3,4] => [7,5,8,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,6,2,5,3,7,4] => [8,6,5,7,2,1,3,4] => [5,7,8,6,3,4,2,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,1,7,2,5,3,8,4] => [6,7,5,8,2,1,3,4] => [7,6,8,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,7,2,4,3,8,5] => [6,7,4,2,8,1,3,5] => [7,4,8,2,6,5,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,6,2,4,3,8,7] => [5,6,4,2,1,3,8,7] => [5,4,6,2,3,1,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[7,1,5,2,4,3,8,6] => [7,5,4,2,1,8,3,6] => [4,5,8,2,3,7,6,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,1,6,2,8,3,5,4] => [7,6,8,5,3,1,2,4] => [6,7,5,8,2,4,3,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,1,8,2,6,3,5,4] => [7,8,6,5,3,2,1,4] => [6,5,7,8,2,3,4,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,8,2,7,4,3,5,6] => [1,8,4,7,3,5,2,6] => [1,4,8,7,2,3,6,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,8,6,4,7,2,3,5] => [1,7,2,6,3,8,4,5] => [1,7,2,8,4,6,5,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,8,4,2,6,3,5,7] => [1,4,8,6,2,3,5,7] => [1,8,4,6,3,5,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,8,1,5,2,3,6] => [8,5,2,7,1,3,4,6] => [5,8,1,7,4,3,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,8,3,2,4,1,6] => [4,3,8,2,7,1,5,6] => [4,7,3,1,8,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,8,5,4,2,6,7,3] => [1,4,5,8,7,2,6,3] => [1,8,5,4,7,3,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,4,2,6,8,3] => [5,4,7,8,1,3,6,2] => [7,8,5,4,3,1,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,3,2,8,5,7,1,4] => [7,3,6,1,8,2,5,4] => [3,8,7,2,6,5,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,8,5,4,1,2] => [4,1,5,8,6,7,3,2] => [8,1,5,4,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,3,1,7,4,2] => [3,8,4,7,6,5,2,1] => [7,3,4,6,8,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,4,2,8,5,1,3,7] => [5,4,2,8,6,1,3,7] => [5,8,1,4,6,3,2,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,2,8,6,1,5,3,4] => [6,8,5,3,2,7,1,4] => [6,5,8,1,3,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,4,1,7,8,2,3,5] => [4,6,1,8,3,2,7,5] => [7,6,2,4,1,5,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,2,1,6,7,3,5,8] => [2,4,7,1,3,6,5,8] => [6,2,4,3,1,7,5,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[4,3,1,5,2,7,6,8] => [3,4,5,2,1,7,6,8] => [5,4,3,1,2,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[6,3,1,7,8,5,2,4] => [3,6,5,1,8,2,7,4] => [7,3,6,2,5,4,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,4,1,7,8,2,6,3] => [4,5,8,6,2,3,7,1] => [7,6,4,5,2,1,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,4,2,6,1,8,7,3] => [6,4,5,7,3,1,8,2] => [5,8,6,4,1,3,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,7,8,3,1] => [3,8,4,5,6,1,7,2] => [7,3,4,5,6,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,4,2,6,3,8,7,1] => [7,4,5,6,3,2,8,1] => [4,8,6,5,1,2,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,1,6,7,8,3] => [2,4,5,8,3,6,7,1] => [6,2,5,4,1,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[5,4,3,1,6,7,8,2] => [3,4,5,8,1,6,7,2] => [6,5,3,4,2,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,3,8,1,2,5,7,4] => [8,1,6,7,2,3,5,4] => [6,1,8,7,4,5,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,8,1,3,2,4,6,5] => [8,3,1,2,6,4,7,5] => [3,6,2,1,7,5,8,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[7,8,2,1,3,5,4,6] => [2,8,1,5,3,4,7,6] => [5,2,1,7,4,3,8,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[5,2,3,7,1,8,6,4] => [7,5,2,6,3,8,1,4] => [5,8,1,7,3,6,4,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,3,1,2,7,8,6,5] => [3,1,4,2,6,8,7,5] => [4,1,3,2,7,6,8,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[5,3,4,7,8,6,1,2] => [6,1,5,3,4,8,7,2] => [5,1,7,2,3,6,8,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,5,3,6,2,7,8,4] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[4,2,5,7,6,1,8,3] => [6,4,7,2,5,8,3,1] => [5,7,4,2,8,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[4,5,2,8,6,1,7,3] => [6,5,8,4,2,7,3,1] => [5,6,4,8,2,7,1,3] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[5,3,1,8,2,6,7,4] => [3,5,8,7,2,1,6,4] => [8,5,3,7,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,3,2,4,7,5] => [6,3,8,2,7,1,4,5] => [6,8,3,1,7,5,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,3,5,7,6,8,1,2] => [8,1,4,3,5,7,6,2] => [4,1,5,2,7,8,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[7,6,5,4,2,1,8,3] => [2,4,5,6,7,8,3,1] => [8,2,7,4,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,2,1,4,3] => [2,8,4,1,6,7,5,3] => [4,2,6,3,8,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[8,5,4,3,2,1,7,6] => [2,3,4,5,8,7,1,6] => [7,2,3,4,5,8,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,1,9,8] => [7,2,3,4,5,6,1,9,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[7,6,5,4,1,8,3,2] => [4,3,5,6,7,8,2,1] => [7,8,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,5,2,8,1,4,3] => [8,5,4,1,6,7,2,3] => [4,5,8,3,6,7,2,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,6,5,8,4,1,3,2] => [4,3,1,8,6,7,5,2] => [3,6,2,4,8,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[7,6,8,5,2,1,4,3] => [2,5,4,1,8,7,6,3] => [4,2,7,3,5,8,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[7,8,2,4,5,1,3,6] => [5,8,1,2,4,3,7,6] => [7,5,2,3,1,4,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,6,7,2,5,1,3,8] => [5,7,1,4,2,6,3,8] => [5,4,2,6,3,7,1,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[7,8,1,3,2,4,5,6] => [8,3,1,2,4,5,7,6] => [3,7,2,1,4,5,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[2,6,7,3,1,4,5,8] => [3,2,7,1,4,6,5,8] => [2,6,3,1,4,7,5,8] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,5,4,6,7,2,3,8] => [1,7,2,5,4,6,3,8] => [1,5,2,6,3,7,4,8] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,6,7,3,2,4,5,8] => [1,3,7,2,4,6,5,8] => [1,6,3,2,4,7,5,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[2,5,4,6,7,1,3,8] => [7,2,1,5,4,6,3,8] => [2,5,1,6,3,7,4,8] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[4,2,5,6,7,1,3,8] => [7,4,1,2,5,6,3,8] => [4,5,2,3,6,7,1,8] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[4,5,2,6,7,1,3,8] => [7,5,1,4,2,6,3,8] => [4,5,2,6,3,7,1,8] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[5,4,1,6,7,2,3,8] => [4,5,1,7,2,6,3,8] => [6,5,2,4,3,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[7,3,2,5,4,1,6,8] => [4,3,5,7,1,2,6,8] => [5,7,3,4,2,1,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,3,6,7,5,2,8,4] => [1,5,3,7,8,6,4,2] => [1,3,7,6,5,8,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[7,3,4,1,6,5,2,8] => [4,5,6,2,7,1,3,8] => [7,6,4,2,5,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,3,2,5,1,6,4,8] => [5,3,7,6,2,1,4,8] => [5,7,3,6,2,4,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,3,6,7,2,5,8,4] => [1,7,3,8,2,6,5,4] => [1,3,7,6,4,8,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,7,4,6,2,8,5,3] => [1,6,5,8,7,3,2,4] => [1,7,8,5,6,3,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,3,1,7,2,6,8,5] => [3,4,7,2,8,1,6,5] => [8,4,3,1,7,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,4,7,3,8,2] => [6,8,7,1,5,4,3,2] => [7,5,6,3,8,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,3,2,1,7,4,8,6] => [2,3,5,7,1,8,4,6] => [8,2,3,5,4,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,5,8,7,2,6] => [1,7,3,4,5,2,8,6] => [1,3,4,5,8,2,7,6] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[6,3,4,5,8,1,7,2] => [8,7,6,3,4,5,1,2] => [6,7,8,1,2,3,5,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[3,1,2,5,6,8,7,4] => [3,1,2,7,5,6,8,4] => [3,1,2,5,6,8,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[3,7,5,4,6,8,1,2] => [8,1,3,5,7,4,6,2] => [3,1,5,8,7,2,4,6] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[2,3,4,5,8,6,1,7] => [6,2,3,4,5,8,1,7] => [2,3,4,5,8,6,1,7] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,3,4,5,8,1,7,6] => [8,2,3,4,5,7,1,6] => [2,3,4,5,7,8,6,1] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[4,3,1,7,5,6,8,2] => [3,4,8,2,7,5,6,1] => [7,4,3,1,8,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,3,2,1,4,7,8,6] => [2,3,5,1,4,8,7,6] => [5,2,3,1,4,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[5,3,1,4,2,7,8,6] => [3,5,4,2,1,8,7,6] => [5,3,4,1,2,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[5,3,1,2,4,7,8,6] => [3,1,5,2,4,8,7,6] => [5,1,3,2,4,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[2,7,4,6,1,8,5,3] => [6,2,5,8,7,3,1,4] => [2,7,8,5,6,3,4,1] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,5,6,8,1,4] => [8,3,7,1,2,5,6,4] => [3,8,7,2,4,1,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,5,8,6,2,7] => [1,6,3,4,5,8,2,7] => [1,3,4,5,8,6,2,7] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,3,4,5,8,2,7,6] => [1,8,3,4,5,7,2,6] => [1,3,4,5,7,8,6,2] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[6,3,4,5,8,2,7,1] => [7,8,6,3,4,5,2,1] => [7,6,8,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,4,5,8,6,2,1] => [2,6,8,1,4,7,5,3] => [8,2,6,3,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,5,6,8,4,1] => [4,3,8,7,1,5,6,2] => [4,8,3,7,2,1,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,1,8,2,5,3] => [6,7,5,4,1,8,2,3] => [5,4,7,8,3,6,2,1] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[7,6,4,2,8,3,5,1] => [5,4,6,7,3,8,2,1] => [7,8,5,4,1,6,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,4,7,3,6,5,1,2] => [5,1,6,7,8,4,2,3] => [8,1,7,6,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,1,7,5,3,2] => [6,3,5,7,8,2,1,4] => [3,8,7,6,5,2,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,1,8,3,2,5] => [7,3,8,6,2,4,1,5] => [6,7,3,8,2,4,5,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,4,8,3,6,1,5,2] => [6,5,8,7,1,3,4,2] => [7,8,5,6,4,2,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,1,8,6,3,5,4,7] => [2,1,6,5,3,8,4,7] => [2,1,5,8,4,6,3,7] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,7,3,5,8,6,4] => [2,1,7,6,3,8,5,4] => [2,1,7,8,4,6,3,5] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[4,2,1,8,3,6,7,5] => [2,4,8,1,7,3,6,5] => [7,2,4,3,8,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,8,6,3,5,7,4] => [2,1,6,8,4,7,5,3] => [2,1,8,6,3,7,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,6,4,5,7,8] => [2,3,1,6,4,5,7,8] => [3,2,1,6,4,5,7,8] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[3,2,1,5,7,8,4,6] => [2,3,1,8,5,4,7,6] => [3,2,1,5,7,4,8,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[2,1,6,8,3,7,4,5] => [2,1,8,7,4,6,3,5] => [2,1,6,7,3,8,5,4] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[2,1,8,3,5,7,4,6] => [2,1,8,7,3,4,5,6] => [2,1,7,8,4,5,6,3] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[3,2,1,5,6,8,4,7] => [2,3,1,8,5,6,4,7] => [3,2,1,5,6,8,4,7] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[3,8,4,7,5,1,6,2] => [5,7,3,6,8,2,1,4] => [6,3,8,7,5,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,8,6,3,1,7,4,2] => [3,6,4,8,5,7,1,2] => [6,3,5,4,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,7,1,8,3,5,6,4] => [7,2,8,6,3,5,1,4] => [2,7,6,8,3,1,5,4] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,1,8,3,7,4,5,6] => [2,1,8,7,4,5,3,6] => [2,1,7,8,3,4,6,5] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[2,1,8,3,6,7,4,5] => [2,1,8,7,4,3,6,5] => [2,1,7,8,3,5,4,6] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[3,2,1,8,4,5,6,7] => [2,3,1,8,4,5,6,7] => [3,2,1,8,4,5,6,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,2,6,8,4,7,3,5] => [1,2,7,8,3,6,4,5] => [1,2,7,6,4,8,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[6,1,5,8,2,4,7,3] => [6,8,7,2,1,5,4,3] => [8,6,7,2,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,8,3,6,7,5] => [1,2,8,4,7,3,6,5] => [1,2,4,7,8,5,3,6] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[4,1,2,7,8,3,6,5] => [4,1,8,2,6,3,7,5] => [6,1,4,3,7,5,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[3,5,7,4,8,6,1,2] => [6,1,3,8,5,7,2,4] => [3,1,6,5,8,7,4,2] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[5,3,8,4,7,6,1,2] => [6,1,5,7,3,8,2,4] => [7,1,8,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,2,5,3,7,6,4,8] => [1,2,5,6,3,7,4,8] => [1,2,7,5,4,6,3,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[7,1,6,2,8,4,5,3] => [7,6,5,8,4,1,2,3] => [6,7,8,5,1,4,3,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,2,6,3,8,5,4,7] => [1,2,6,5,8,3,4,7] => [1,2,6,8,5,4,3,7] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,7,3,8,5,4,6] => [1,2,7,5,8,4,3,6] => [1,2,7,8,5,3,6,4] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,6,2,8,4,3,5,7] => [1,6,4,8,3,2,5,7] => [1,6,8,4,2,5,3,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[3,1,7,8,6,2,4,5] => [3,6,1,2,4,8,7,5] => [7,3,2,1,4,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,7,6,3,2,4,5,8] => [1,3,6,2,4,7,5,8] => [1,7,3,2,4,6,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,2,8,4,3,7,5,6] => [1,2,4,8,7,5,3,6] => [1,2,7,4,8,3,6,5] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[6,1,8,2,7,4,5,3] => [6,8,5,7,4,1,2,3] => [7,5,8,6,1,4,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,2,7,5,3,6,4,8] => [1,2,5,7,6,4,3,8] => [1,2,7,5,6,3,4,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,2,3,7,5,4,8,6] => [1,2,3,5,7,8,4,6] => [1,2,3,8,5,7,6,4] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,8,2,7,6,4,5,3] => [1,8,5,6,4,7,2,3] => [1,5,8,6,2,7,4,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,8,7,6,5,1,4,3] => [5,2,4,1,6,7,8,3] => [2,4,8,3,5,6,7,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,6,3,2,5,4,8] => [7,3,6,5,2,1,4,8] => [3,6,5,7,2,4,1,8] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[2,7,6,3,1,5,8,4] => [3,2,6,7,4,8,5,1] => [2,8,3,7,1,6,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,4,3,6,5,2,7] => [1,5,4,6,8,2,3,7] => [1,6,8,4,5,3,2,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,8,6,3,4,5,2,7] => [1,5,6,3,4,8,2,7] => [1,8,5,2,3,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,1,4,8,5,7] => [2,6,3,1,8,4,5,7] => [3,2,8,1,6,5,4,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,8,6,5,4,7] => [3,1,2,5,6,8,4,7] => [3,1,2,8,5,6,4,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[6,5,8,2,3,7,1,4] => [7,8,2,1,6,5,3,4] => [7,6,1,3,8,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,4,8,1,6,3,7,5] => [8,2,6,4,7,1,3,5] => [2,4,6,8,7,5,3,1] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[4,1,6,3,5,8,2,7] => [4,8,6,1,3,5,2,7] => [8,4,6,3,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,7,6,5,8,3] => [4,1,8,2,6,7,5,3] => [6,1,4,3,8,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,4,1,6,7,8,5,3] => [4,2,5,1,8,6,7,3] => [2,6,4,3,5,7,8,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,7,3,2,8,1,4] => [8,3,7,1,5,6,2,4] => [3,6,5,2,7,8,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[5,3,2,1,4,8,6,7] => [2,3,5,1,4,8,6,7] => [5,2,3,1,4,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[3,6,7,8,1,4,5,2] => [8,5,3,1,4,6,7,2] => [3,5,6,2,1,7,8,4] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[3,1,6,4,8,2,5,7] => [3,8,1,6,2,4,5,7] => [6,3,2,8,4,5,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,5,2,8,4,1,6,3] => [4,8,5,7,6,2,1,3] => [8,4,6,5,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,2,4,6,3,7] => [1,5,8,3,6,4,2,7] => [1,8,5,2,6,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,4,2,3,5,7,6] => [1,4,2,8,3,7,5,6] => [1,7,2,4,3,8,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,4,2,8,3,5,1,7] => [5,4,6,8,2,3,1,7] => [6,8,5,4,2,1,3,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,3,2,5,8,4,6,1] => [6,3,7,8,2,4,5,1] => [7,8,3,6,2,4,1,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,4,6,2,7,5,3,1] => [3,5,7,6,8,2,4,1] => [8,6,3,7,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,8,4,1,3,2] => [4,3,1,8,6,5,7,2] => [3,6,2,4,7,1,8,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[3,5,6,8,2,4,1,7] => [4,8,3,2,5,6,1,7] => [4,3,5,1,6,8,2,7] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[2,6,7,8,1,4,5,3] => [8,2,5,1,4,6,7,3] => [2,5,6,3,1,7,8,4] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[3,6,7,8,1,4,2,5] => [8,4,3,1,2,6,7,5] => [3,4,6,2,1,7,8,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[2,6,7,8,1,4,3,5] => [8,2,4,1,3,6,7,5] => [2,4,6,3,1,7,8,5] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[2,4,7,3,8,1,5,6] => [8,2,7,4,1,5,3,6] => [2,4,7,8,3,1,6,5] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[6,4,7,3,8,1,5,2] => [8,5,7,6,1,4,3,2] => [5,8,6,7,4,1,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,8,2,1,5] => [2,8,6,7,1,4,3,5] => [6,2,8,7,4,3,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,4,5,2,3,8,1,7] => [8,5,2,6,4,3,1,7] => [5,8,1,6,2,3,4,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,4,6,3,8,2,1,7] => [2,8,6,5,4,3,1,7] => [5,2,6,8,1,3,4,7] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[5,4,7,3,8,1,6,2] => [8,6,7,5,4,1,3,2] => [5,7,6,8,1,4,2,3] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[4,5,7,8,3,1,2,6] => [3,1,8,4,5,2,7,6] => [4,1,3,5,7,2,8,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[4,5,7,8,2,1,6,3] => [2,8,6,4,5,1,7,3] => [4,2,5,6,7,3,8,1] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[5,4,7,2,8,1,6,3] => [8,7,6,5,4,1,2,3] => [5,6,7,8,1,4,3,2] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[3,6,7,8,1,5,2,4] => [8,5,3,2,1,6,7,4] => [3,5,6,1,4,7,8,2] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[2,6,7,8,1,5,4,3] => [8,2,4,5,1,6,7,3] => [2,4,6,5,3,7,8,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[2,7,1,3,5,4,8,6] => [7,2,1,5,3,8,4,6] => [2,5,1,8,4,7,6,3] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,7,2,1,5,8,6,3] => [2,7,6,4,1,8,5,3] => [4,2,7,8,3,6,1,5] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[4,8,6,2,1,5,7,3] => [2,6,8,4,3,7,5,1] => [6,2,4,8,1,7,3,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,3,6,5,1,7,2] => [5,6,7,4,8,1,2,3] => [7,6,4,8,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,7,3,5,1,8,2] => [5,8,7,6,3,4,1,2] => [8,5,6,7,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,5,1,8,2,3] => [5,7,1,8,6,3,2,4] => [8,6,2,5,7,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,5,8,2,4] => [6,8,3,2,7,1,5,4] => [6,3,8,1,7,5,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,6,8,2,1,5,7,3] => [2,8,7,4,1,6,5,3] => [4,2,6,7,3,8,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => [1,7,2,8,4,5,6,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,6,2,8,1,5,3,7] => [8,6,5,4,1,2,3,7] => [4,5,6,8,3,2,1,7] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[8,4,1,2,7,5,3,6] => [4,1,8,5,7,2,3,6] => [8,1,4,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,8,4,1,5,2] => [4,8,5,7,2,6,1,3] => [7,4,6,5,2,8,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,2,4,5,1,6,7,3] => [5,8,7,2,4,1,6,3] => [8,5,7,2,1,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,5,6,1,7,2] => [6,7,3,8,4,5,1,2] => [7,3,8,6,1,2,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,5,8,3,6,7,1,2] => [7,1,8,4,5,3,6,2] => [5,1,4,7,8,2,3,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,2,8,3,7,1,6,5] => [7,4,8,2,6,1,3,5] => [6,7,4,2,8,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[7,2,3,4,8,1,6,5] => [8,7,2,3,6,1,4,5] => [6,7,1,2,8,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[7,6,3,5,8,4,1,2] => [4,1,8,6,2,7,5,3] => [8,1,4,6,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,8,4,5,1,2] => [5,1,6,7,3,8,4,2] => [8,1,7,5,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,8,5,1,4,6] => [5,8,1,2,7,4,3,6] => [8,5,2,3,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,8,1,5,7,3] => [8,2,7,6,1,4,5,3] => [2,6,7,8,4,3,1,5] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,2,3,5,8,1,4,6] => [8,7,2,1,3,4,5,6] => [7,8,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,8,2,3,6,1,5,4] => [6,8,2,5,1,3,7,4] => [6,5,1,7,4,3,8,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[7,2,3,8,4,1,6,5] => [4,8,1,7,6,2,3,5] => [7,4,2,6,8,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,6,5,1,4,2,3,8] => [5,4,2,1,6,7,3,8] => [4,7,1,3,5,6,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[7,6,5,1,2,4,8,3] => [5,1,6,2,7,8,4,3] => [8,1,7,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,4,1,7,3,6] => [4,2,8,7,5,1,3,6] => [2,7,4,5,8,3,6,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,6,4,2,1,7,8,5] => [2,4,3,6,8,1,7,5] => [3,2,7,4,6,5,8,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[3,6,4,2,1,7,5,8] => [2,4,3,6,7,1,5,8] => [3,2,7,4,6,5,1,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,4,5,1,3,7,8] => [5,2,1,6,4,3,7,8] => [2,6,1,5,3,4,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[7,6,5,1,2,8,4,3] => [5,1,4,6,7,8,2,3] => [7,1,8,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,6,5,1,2,8,3,4] => [5,1,6,3,7,8,2,4] => [8,1,7,2,5,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,1,8,2,4,3] => [5,6,4,2,7,8,1,3] => [7,4,8,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,6,5,1,8,3,2,4] => [5,3,6,2,7,8,1,4] => [7,8,3,1,5,6,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,5,1,4,8,2,3] => [5,6,2,1,7,8,4,3] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,5,1,7,2,8] => [5,7,3,6,4,1,2,8] => [5,3,7,6,1,4,2,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[2,5,6,4,1,7,8,3] => [4,2,6,8,5,3,7,1] => [2,6,5,4,7,1,8,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[7,8,5,4,1,6,3,2] => [4,3,5,8,6,1,7,2] => [5,7,3,4,6,2,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[2,5,6,4,1,7,3,8] => [4,2,6,7,5,3,1,8] => [2,6,5,4,7,1,3,8] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[3,6,4,5,1,7,8,2] => [5,8,3,6,4,1,7,2] => [5,3,7,6,1,4,8,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[7,6,5,1,4,8,3,2] => [5,3,6,1,7,8,4,2] => [7,8,3,2,5,6,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,5,1,8,3,4,2] => [5,4,6,3,7,8,1,2] => [7,8,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,5,1,8,4,2,3] => [5,4,2,6,7,8,1,3] => [7,8,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,6,5,3,1,4,8,7] => [3,2,5,1,6,4,8,7] => [2,6,3,1,5,4,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[3,6,1,4,2,5,8,7] => [6,4,3,1,2,5,8,7] => [3,4,6,2,1,5,8,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[7,2,5,6,8,1,3,4] => [8,7,1,3,2,5,6,4] => [7,8,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,4,1,6,5,7,3,2] => [4,3,8,7,6,2,5,1] => [4,7,3,6,8,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,8,2,7,4,3,5,1] => [5,8,4,7,3,6,2,1] => [6,4,7,5,1,8,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[4,7,8,5,1,6,3,2] => [5,3,8,4,6,2,7,1] => [4,5,3,7,6,1,8,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[8,2,6,4,7,3,5,1] => [5,8,7,6,3,2,4,1] => [8,5,6,7,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,1,7,3,2,5] => [6,3,8,4,1,7,2,5] => [4,6,3,8,2,7,5,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[8,7,3,2,1,5,4,6] => [2,3,7,5,1,4,8,6] => [5,2,3,8,4,1,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,8,7,1,3,2,4,5] => [7,3,1,2,4,6,8,5] => [3,6,2,1,4,8,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[6,2,3,8,4,7,5,1] => [5,7,1,6,8,4,3,2] => [8,6,2,7,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,3,4,8,7,5] => [2,6,1,3,7,4,8,5] => [8,2,1,3,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,2,8,3,1,7] => [3,8,4,5,6,1,2,7] => [8,3,4,5,6,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,2,8,1,5,3] => [8,6,5,4,1,7,2,3] => [4,5,6,8,3,7,2,1] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[6,4,5,1,7,8,3,2] => [5,3,8,6,4,1,7,2] => [5,7,3,6,1,4,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[4,2,3,1,7,8,6,5] => [3,4,2,1,6,8,7,5] => [4,3,1,2,7,6,8,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[3,4,2,1,8,6,7,5] => [2,4,3,1,7,8,6,5] => [3,2,4,1,8,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[3,6,8,1,5,2,4,7] => [8,5,3,2,1,6,4,7] => [3,5,6,1,4,8,2,7] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[3,2,8,7,4,5,1,6] => [5,3,2,7,4,1,8,6] => [3,8,1,5,2,4,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,8,7,5,3,6] => [2,1,5,4,7,3,8,6] => [2,1,4,8,5,3,7,6] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,6,8,3,7,5,4] => [2,1,8,5,7,6,3,4] => [2,1,5,7,6,8,4,3] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[5,1,8,2,6,4,3,7] => [5,8,4,6,1,2,3,7] => [6,4,8,5,3,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,4,8,6,2,1,3,5] => [2,6,1,8,4,7,3,5] => [8,2,1,6,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,8,3,7,5,1] => [5,7,6,4,8,3,1,2] => [7,4,6,8,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,8,5,3,6,7,1,4] => [7,2,5,1,8,3,6,4] => [2,7,8,3,5,4,1,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,8,5,6,4,1,3,2] => [4,3,1,6,8,5,7,2] => [3,7,2,4,6,1,8,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[7,6,8,3,5,1,4,2] => [5,4,8,1,3,7,6,2] => [5,7,4,3,1,8,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,5,8,4,7,1,3,2] => [7,3,1,8,6,5,4,2] => [3,7,2,6,8,1,4,5] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[6,7,4,2,5,3,1,8] => [3,5,4,7,1,6,2,8] => [6,3,5,4,2,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[3,4,7,5,6,2,1,8] => [2,6,3,4,7,5,1,8] => [3,2,4,7,6,1,5,8] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[4,1,8,5,6,3,2,7] => [4,3,6,1,8,5,2,7] => [4,8,3,2,6,1,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,5,6,4,3,7] => [1,8,4,6,2,5,3,7] => [1,4,8,6,3,2,5,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,8,5,3,7,4,2] => [6,4,7,5,8,1,2,3] => [6,8,4,7,5,3,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,1,5,3,7,6,4] => [2,8,5,6,1,7,3,4] => [5,2,8,6,4,7,3,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,1,5,3,6,7,8,2] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,6,3,5,1,7,2,4] => [5,7,6,2,3,8,1,4] => [8,5,7,2,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,1,6,7,8,4] => [3,5,2,8,1,6,7,4] => [6,3,1,5,4,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,8,4,7,2,1,3,5] => [2,7,1,8,3,6,4,5] => [7,2,1,6,4,8,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,8,7,5,6,1,2,4] => [6,1,3,2,7,5,8,4] => [3,1,8,2,6,4,7,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[8,2,7,5,6,1,3,4] => [6,8,1,3,7,5,2,4] => [8,6,2,1,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,5,1,7,3,2] => [5,3,6,4,8,7,1,2] => [4,6,3,8,5,7,2,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,7,4,6,2,3,8,5] => [1,6,2,7,8,4,3,5] => [1,8,2,7,6,4,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,6,1,3,8,2] => [6,8,1,7,5,4,3,2] => [7,5,2,6,8,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,2,4,3,7,1,8,6] => [7,5,4,2,3,8,1,6] => [4,5,8,2,1,7,6,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,6,4,1,3,5,2,7] => [4,6,2,5,3,8,1,7] => [8,4,1,5,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,1,2,6,8,3] => [4,1,5,7,8,2,6,3] => [8,1,7,4,5,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,5,4,7,3,2] => [8,3,7,5,1,6,4,2] => [3,6,5,7,4,8,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[8,2,1,5,6,4,3,7] => [2,8,4,6,1,5,3,7] => [4,2,8,6,3,1,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,8,1,5,6,4,2,7] => [8,4,3,6,1,5,2,7] => [3,4,8,6,2,1,5,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[6,8,4,1,2,5,3,7] => [4,1,8,5,3,6,2,7] => [6,1,4,5,2,8,3,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,2,8,1,6,5,4,7] => [8,3,2,5,6,1,4,7] => [3,5,1,8,6,4,2,7] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[3,2,6,1,5,7,8,4] => [6,3,2,8,1,5,7,4] => [3,7,1,6,4,2,8,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[8,6,1,5,4,7,2,3] => [6,8,1,5,2,7,4,3] => [6,5,2,8,4,7,1,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,5,4,1,3,2,8,6] => [4,3,1,5,7,8,2,6] => [3,8,2,4,5,7,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,4,7,8,6] => [5,3,2,1,4,8,7,6] => [3,5,1,2,4,7,8,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[7,1,4,3,5,2,8,6] => [7,5,4,1,3,8,2,6] => [4,5,8,3,1,7,6,2] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,3,2,6,1,4,7,5] => [6,3,8,1,7,2,4,5] => [6,8,3,2,7,5,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,8,1,6,4,3,7,5] => [8,2,4,6,7,1,3,5] => [2,4,8,6,7,5,3,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,6,1,3,8,7,5,4] => [6,2,1,5,7,3,8,4] => [2,6,1,8,5,4,7,3] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,6,8,1,5,7,4,3] => [8,2,4,7,1,6,5,3] => [2,4,7,6,3,8,1,5] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[2,7,1,6,4,8,3,5] => [7,2,8,6,3,1,4,5] => [2,7,6,8,3,5,4,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,1,8,7,3,2,6,5] => [4,3,7,1,6,2,8,5] => [4,6,3,2,8,5,7,1] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[4,1,7,2,8,6,5,3] => [4,7,5,1,6,8,2,3] => [8,4,5,3,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,1,4,2,5,8] => [6,4,3,1,2,7,5,8] => [3,4,7,2,1,6,5,8] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[3,7,5,1,4,6,8,2] => [5,7,3,2,8,4,6,1] => [7,3,8,1,5,2,4,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,8,5,1,4,7,2] => [5,8,3,2,7,6,4,1] => [5,3,7,1,6,8,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[7,3,5,8,2,1,4,6] => [2,8,7,1,3,4,5,6] => [7,2,8,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,4,2,8,1,6,5,3] => [8,4,7,5,6,1,3,2] => [4,8,5,6,7,3,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,3,1,4,8] => [3,6,5,2,7,1,4,8] => [7,3,6,1,5,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,6,8,5,1,7,3,2] => [5,3,8,4,7,6,2,1] => [4,5,3,7,6,8,1,2] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[5,1,7,6,4,2,8,3] => [5,4,6,7,1,8,2,3] => [7,8,5,4,3,6,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,2,1,7,6,4,3] => [2,5,4,8,6,7,3,1] => [5,2,8,4,6,7,1,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,5,2,1,6,3,7,4] => [2,5,8,6,7,3,4,1] => [8,2,5,7,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,4,8,2,5] => [6,8,3,7,2,1,4,5] => [6,3,8,7,2,5,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,4,2,5,7,3,1,6] => [3,7,4,8,1,2,5,6] => [8,3,7,4,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,2,7,3,6,1] => [6,8,7,5,4,3,2,1] => [7,5,6,8,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,3,8,7,1,2,5] => [7,1,4,6,2,3,8,5] => [4,1,8,6,3,5,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,3,7,2,4,8,1,5] => [8,7,6,2,1,3,4,5] => [6,7,8,2,4,5,3,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,6,8,4,2,7,3,1] => [3,7,4,8,5,6,1,2] => [6,3,5,4,7,8,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,7,4,2,8,1,3,6] => [8,4,1,7,5,3,2,6] => [4,7,2,5,8,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,4,7,3,1,8,2,5] => [3,7,8,6,1,4,2,5] => [7,6,3,8,4,2,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,2,1,5,4,7,6,9,8] => [2,3,1,5,4,7,6,9,8] => [3,2,1,5,4,7,6,9,8] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,2,1,5,4,6,7,8,9] => [2,3,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[2,1,4,3,6,5,7,8,9] => [2,1,4,3,6,5,7,8,9] => [2,1,4,3,6,5,7,8,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[3,2,1,5,4,7,6,9,8,10] => [2,3,1,5,4,7,6,9,8,10] => [3,2,1,5,4,7,6,9,8,10] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[2,1,4,3,6,5,8,7,9,10] => [2,1,4,3,6,5,8,7,9,10] => [2,1,4,3,6,5,8,7,9,10] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[2,1,4,3,6,5,7,8,9,10] => [2,1,4,3,6,5,7,8,9,10] => [2,1,4,3,6,5,7,8,9,10] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[2,1,4,3,5,6,7,8,9,10] => [2,1,4,3,5,6,7,8,9,10] => [2,1,4,3,5,6,7,8,9,10] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[7,6,3,8,5,1,4,2] => [5,4,8,3,6,7,1,2] => [5,8,4,1,6,7,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,4,8,1,3,2,5,7] => [8,3,1,6,2,4,5,7] => [3,6,2,8,4,5,1,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[7,4,8,6,3,1,5,2] => [3,6,5,8,4,7,2,1] => [8,3,6,5,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,4,6,5,1,8] => [5,6,3,1,7,4,2,8] => [6,3,7,2,5,1,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[6,2,8,4,1,5,7,3] => [4,8,6,7,2,3,5,1] => [8,4,7,6,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,8,5,1,6,4] => [5,3,2,8,6,4,7,1] => [3,7,1,5,6,2,8,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[6,1,4,8,5,3,7,2] => [6,7,5,1,8,4,3,2] => [7,6,8,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,8,4,3,7,2,5] => [6,7,4,8,2,1,3,5] => [7,6,8,4,2,5,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,7,1,4,2,5,8,6] => [7,4,3,1,2,8,5,6] => [3,4,8,2,1,7,6,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[6,1,8,5,3,2,7,4] => [6,3,5,8,7,1,4,2] => [3,8,7,5,6,4,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,1,8,2,5] => [3,4,6,7,1,8,2,5] => [8,7,3,4,2,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,7,1,4,5,3] => [7,6,5,1,4,8,2,3] => [5,7,8,3,1,6,4,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,6,3,7,4,1,2,5] => [4,1,7,6,3,8,2,5] => [8,1,4,7,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,4,7,1,8,6] => [7,5,2,3,4,8,1,6] => [5,8,1,2,3,7,6,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,3,1,4,5,7,2] => [3,6,8,1,4,7,5,2] => [8,6,3,2,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,1,2,4,7,6] => [3,1,8,2,5,7,4,6] => [5,1,3,2,7,8,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[8,1,3,2,4,5,6,7] => [8,3,1,2,4,5,6,7] => [3,8,2,1,4,5,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,1,6,5,4,7,3] => [2,8,7,5,6,1,4,3] => [5,2,6,8,7,4,1,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[3,8,1,5,6,4,7,2] => [8,7,3,6,1,5,4,2] => [3,6,7,8,4,1,2,5] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[3,2,8,1,6,5,7,4] => [8,3,2,7,6,1,5,4] => [3,6,1,7,8,5,2,4] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[7,6,4,1,5,2,3,8] => [4,6,1,5,2,7,3,8] => [7,4,2,5,3,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,6,1,5,4,7,3,2] => [6,3,8,5,2,7,4,1] => [5,6,3,8,2,7,1,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[5,2,1,4,7,6,3,8] => [2,5,6,1,4,7,3,8] => [7,2,5,3,1,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,8,2,3,1,4,6,7] => [3,8,2,1,5,4,6,7] => [5,3,1,2,8,4,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,2,1,3,5,8,7,6] => [2,4,1,3,5,7,8,6] => [4,2,1,3,5,8,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[5,4,1,3,6,2,8,7] => [4,5,2,6,3,1,8,7] => [6,5,1,4,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,2,5,1,4,6,8,7] => [5,3,2,1,4,6,8,7] => [3,5,1,2,4,6,8,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[3,1,4,2,6,5,8,7,9] => [3,4,1,2,6,5,8,7,9] => [4,3,2,1,6,5,8,7,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[3,1,2,5,4,7,6,9,8] => [3,1,2,5,4,7,6,9,8] => [3,1,2,5,4,7,6,9,8] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,4,2,6,5,8,7,10,9] => [3,4,1,2,6,5,8,7,10,9] => [4,3,2,1,6,5,8,7,10,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,5,2,6,4,8,7,10,9] => [3,5,1,6,2,4,8,7,10,9] => [6,3,2,5,4,1,8,7,10,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[3,1,5,2,7,4,8,6,10,9] => [3,5,1,7,2,8,4,6,10,9] => [8,3,2,5,4,7,6,1,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[3,1,5,2,7,4,9,6,10,8] => [3,5,1,7,2,9,4,10,6,8] => [10,3,2,5,4,7,6,9,8,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,1,2,5,7,4,6,9,8] => [3,1,2,7,5,4,6,9,8] => [3,1,2,5,7,4,6,9,8] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,3,5,2,4,7,6,9,8] => [1,5,3,2,4,7,6,9,8] => [1,3,5,2,4,7,6,9,8] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[3,1,2,5,4,7,6,9,8,10] => [3,1,2,5,4,7,6,9,8,10] => [3,1,2,5,4,7,6,9,8,10] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[3,6,7,2,5,1,4,8] => [5,7,3,1,2,6,4,8] => [5,3,6,2,4,7,1,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[5,8,1,2,4,7,3,6] => [8,1,7,2,5,3,4,6] => [5,1,7,3,8,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,8,3,1,4,5,7,2] => [3,8,7,2,4,6,5,1] => [7,3,6,1,2,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,5,1,8,2,3,6,4] => [5,7,1,8,6,4,2,3] => [8,6,2,5,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,2,3,4,7,5] => [6,8,2,3,7,1,4,5] => [8,6,1,2,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,5,7,2,6] => [4,7,8,1,3,2,5,6] => [8,7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,3,2,6,8,1] => [8,3,7,4,5,2,6,1] => [3,5,4,7,8,1,2,6] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[3,6,4,2,7,5,8,1] => [8,4,3,6,7,2,5,1] => [3,4,8,6,7,2,1,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,5,2,7,1,6,8,3] => [7,5,8,4,2,1,6,3] => [5,7,4,8,2,3,1,6] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[4,1,2,8,5,7,3,6] => [4,1,7,2,8,3,5,6] => [8,1,4,3,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,1,7,4,2,8] => [3,6,4,7,5,2,1,8] => [6,3,5,4,7,1,2,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[6,4,2,8,7,1,5,3] => [7,4,6,5,1,3,8,2] => [4,8,5,6,3,1,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,8,1,5,3,6] => [8,7,5,2,1,3,4,6] => [5,7,8,2,4,3,6,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,5,3,7,8,2,4,6] => [1,8,5,2,3,4,7,6] => [1,5,7,3,4,2,8,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[3,2,6,7,1,8,4,5] => [7,3,2,8,4,6,1,5] => [3,7,1,6,2,8,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[5,3,1,6,7,8,4,2] => [3,5,4,8,2,6,7,1] => [6,3,5,4,1,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[2,1,3,4,8,7,5,6] => [2,1,3,4,7,5,8,6] => [2,1,3,4,8,5,7,6] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[4,5,6,7,8,9,2,3,1] => [3,9,2,4,5,6,7,8,1] => [4,3,1,5,6,7,8,9,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,3,8,7,5,4,1,2] => [4,1,5,7,6,3,8,2] => [8,1,5,4,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,6,4,1,2] => [4,1,6,5,2,7,8,3] => [8,1,4,5,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,6,1,5,4,3] => [6,2,4,5,1,7,8,3] => [2,4,8,5,3,6,7,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,2,8,7,5,1,4,3] => [5,7,4,2,6,1,8,3] => [5,4,8,2,6,3,7,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,1,8,7,5,4,3,2] => [6,3,4,5,7,1,8,2] => [3,8,4,6,5,2,7,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,8,7,6,5,4,2] => [3,4,1,5,6,7,8,2] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,7,1,5,4,3] => [7,6,4,5,1,2,8,3] => [4,5,8,6,3,2,7,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[6,5,8,7,1,4,3,2] => [7,3,4,1,6,5,8,2] => [3,6,4,2,8,1,7,5] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[5,4,1,8,7,6,3,2] => [4,3,5,6,2,7,8,1] => [5,8,3,4,1,6,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,8,4,1,6,5,3,2] => [4,3,8,5,6,2,7,1] => [4,7,3,5,6,1,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[5,3,1,8,7,6,4,2] => [3,5,4,6,2,7,8,1] => [8,3,5,4,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,6,5,4,3] => [2,8,4,5,6,1,7,3] => [4,2,7,5,6,3,8,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,5,3,1,8,7,4,2] => [3,5,4,6,7,1,8,2] => [8,3,6,4,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,1,8,7,6,2] => [3,4,5,6,1,7,8,2] => [8,5,3,4,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,1,8,6,4,3] => [2,5,4,7,6,8,3,1] => [5,2,8,4,7,6,1,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,4,2,1,8,7,6,3] => [2,4,5,6,3,7,8,1] => [8,2,5,4,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,1,8,7,5,4] => [2,3,6,5,7,1,8,4] => [6,2,3,8,5,4,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,6,1,4,2,3,5,7] => [6,4,2,1,3,8,5,7] => [4,8,1,3,2,6,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,8,1,4,2,3,5,7] => [8,4,2,1,3,6,5,7] => [4,6,1,3,2,8,5,7] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[8,1,4,2,3,6,5,7] => [8,4,2,1,6,3,5,7] => [4,6,1,3,8,5,2,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[6,2,3,8,1,4,5,7] => [8,6,2,1,4,3,5,7] => [6,8,1,3,2,5,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,6,2,3,8,1,5,7] => [8,6,2,4,1,3,5,7] => [4,6,1,8,3,5,2,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[8,2,3,6,4,1,5,7] => [4,6,1,8,2,3,5,7] => [8,6,2,4,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,6,2,1,5,7] => [2,6,4,8,1,3,5,7] => [6,2,8,4,3,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,2,3,8,4,1,5,7] => [4,8,1,6,2,3,5,7] => [8,4,2,6,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,3,8,1,5,7] => [8,4,2,6,1,3,5,7] => [4,8,1,6,3,5,2,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,3,8,1,5,7] => [8,2,4,6,1,3,5,7] => [2,4,8,6,3,5,1,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,8,4,3,6,1,5,7] => [6,2,4,8,1,3,5,7] => [2,6,8,4,3,5,1,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,6,3,8,4,1,5,7] => [4,2,8,6,3,1,5,7] => [2,8,4,6,1,5,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,8,4,2,1,5,7] => [2,4,8,6,3,1,5,7] => [8,2,4,6,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,6,1,4,5,7] => [6,2,8,1,4,3,5,7] => [2,8,6,3,1,5,4,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,6,4,2,1,5,7] => [2,4,6,8,3,1,5,7] => [8,2,6,4,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,6,4,1,5,7] => [4,2,6,8,3,1,5,7] => [2,8,6,4,1,5,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,6,2,4,1,5,7] => [4,6,8,2,1,3,5,7] => [8,6,4,2,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,2,1,4,5,7] => [2,6,8,1,4,3,5,7] => [8,2,6,3,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,2,4,1,5,7] => [4,8,6,2,1,3,5,7] => [8,4,6,2,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,3,8,1,5,7] => [8,6,4,2,1,3,5,7] => [4,6,8,2,3,5,1,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,6,4,2,7,5,8,3] => [1,4,6,8,7,3,5,2] => [1,8,6,4,7,3,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,5,8,2,7,4] => [6,8,1,7,3,5,2,4] => [8,6,2,7,3,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,7,4,2,3,5] => [6,4,2,7,3,1,8,5] => [6,8,1,4,2,5,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,2,8,5,7,3,6,4] => [1,2,7,6,8,3,5,4] => [1,2,7,8,6,5,3,4] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,3,6,8,7,5,2,4] => [1,5,3,2,7,6,8,4] => [1,3,6,2,5,8,7,4] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,8,2,5,4,7,6,3] => [1,8,6,5,2,7,4,3] => [1,5,6,8,4,7,2,3] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,2,7,3,5,8,6,4] => [1,2,7,6,3,8,5,4] => [1,2,7,8,4,6,3,5] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[4,6,2,1,7,5,3,8] => [2,6,5,4,7,1,3,8] => [4,2,6,7,5,3,1,8] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,6,3,7,8,5,2,4] => [1,5,8,3,6,2,7,4] => [1,7,5,2,6,4,8,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,2,1,3,5,7,8,6] => [2,4,1,3,5,8,7,6] => [4,2,1,3,5,7,8,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[7,3,2,4,5,1,8,6] => [5,3,7,2,4,8,1,6] => [5,8,3,1,2,7,6,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,8,2,5,4,1,7,6] => [4,5,3,8,1,7,2,6] => [5,3,7,4,2,8,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[4,3,8,5,1,7,2,6] => [5,8,4,3,7,1,2,6] => [5,4,8,1,7,3,6,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,4,3,5,2,8,1,7] => [8,5,4,6,3,2,1,7] => [4,6,8,5,1,2,3,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[6,1,7,2,8,3,9,4,10,5] => [6,7,8,9,10,1,2,3,4,5] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,1,8,2,9,3,10,4,11,5,12,6] => [7,8,9,10,11,12,1,2,3,4,5,6] => [12,11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[8,2,5,7,3,6,4,1] => [4,6,8,7,3,1,5,2] => [8,7,4,6,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,7,5,3,4,2] => [1,4,5,3,7,8,6,2] => [1,8,4,2,5,7,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,3,8,5,7,6] => [4,2,1,3,8,7,5,6] => [2,4,1,3,7,8,6,5] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[2,4,1,3,5,8,7,6] => [4,2,1,3,5,7,8,6] => [2,4,1,3,5,8,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[2,6,1,3,5,8,7,4] => [6,2,1,7,3,5,8,4] => [2,8,1,6,4,3,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,3,5,8,7,2] => [6,7,1,4,3,5,8,2] => [6,4,2,8,1,3,7,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,4,1,3,5,8,7,2] => [4,6,2,7,3,5,8,1] => [8,6,1,4,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,6,5,7,8] => [2,4,1,3,6,5,7,8] => [4,2,1,3,6,5,7,8] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[4,2,1,6,3,5,7,8] => [2,4,6,1,3,5,7,8] => [6,2,4,3,1,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[8,1,4,3,6,5,7,2] => [8,7,4,1,6,3,5,2] => [4,6,7,3,8,2,1,5] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[6,2,1,4,3,5,7,8] => [2,6,4,1,3,5,7,8] => [4,2,6,3,1,5,7,8] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[8,2,4,1,3,5,7,6] => [4,8,1,2,3,7,5,6] => [7,4,2,3,1,8,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,2,6,1,3,5,7,4] => [6,8,1,7,3,2,5,4] => [8,6,2,7,3,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,1,3,5,7,2] => [6,7,1,8,3,4,5,2] => [8,7,2,6,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,6,3,5,7,2] => [8,7,6,1,3,4,5,2] => [6,7,8,3,2,4,1,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,8,4,6,3,5,7,2] => [1,7,6,8,3,4,5,2] => [1,7,8,6,3,4,2,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,6,4,8,3,5,7,2] => [1,7,8,6,3,4,5,2] => [1,7,6,8,3,4,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,8,1,3,5,7,4] => [8,6,1,7,3,2,5,4] => [6,8,2,7,3,5,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,6,8,1,3,5,7,2] => [8,7,1,4,3,6,5,2] => [4,6,2,7,1,8,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[4,6,1,8,3,5,7,2] => [6,7,8,4,3,1,5,2] => [7,6,4,8,1,5,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,6,1,3,8,5,7,2] => [6,7,1,4,8,3,5,2] => [7,4,2,8,6,3,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,1,6,8,3,5,7,4] => [2,1,8,7,3,6,5,4] => [2,1,6,7,4,8,3,5] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[2,1,8,3,6,5,7,4] => [2,1,8,7,6,3,5,4] => [2,1,6,7,8,5,3,4] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,6,4,3,5,7,8] => [2,1,4,6,3,5,7,8] => [2,1,6,4,3,5,7,8] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[2,8,1,4,3,5,7,6] => [8,2,4,1,3,7,5,6] => [2,4,7,3,1,8,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[2,8,1,6,3,5,7,4] => [8,2,6,7,3,1,5,4] => [2,6,8,7,3,5,1,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,8,1,6,3,5,7,2] => [8,7,6,4,3,1,5,2] => [4,6,7,8,1,5,2,3] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[2,8,6,1,3,5,7,4] => [6,2,1,8,4,7,5,3] => [2,8,1,6,3,7,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,1,3,5,7,6] => [4,2,1,8,3,7,5,6] => [2,7,1,4,3,8,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,4,1,3,5,7,8] => [4,2,1,6,3,5,7,8] => [2,6,1,4,3,5,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[4,6,2,1,3,5,7,8] => [2,6,1,4,3,5,7,8] => [4,2,1,6,3,5,7,8] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[6,1,8,4,3,5,7,2] => [6,7,4,8,3,1,5,2] => [7,6,8,4,1,5,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,8,6,4,3,5,7,2] => [1,7,4,6,3,8,5,2] => [1,4,8,7,2,6,3,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,6,1,4,3,5,7,2] => [6,8,4,2,3,7,5,1] => [6,4,8,2,1,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,4,2,1,3,5,7,6] => [2,4,1,8,3,7,5,6] => [7,2,1,4,3,8,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,7,4,1,8,6,3,2] => [4,3,7,6,5,8,2,1] => [4,7,3,5,8,6,1,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,6,4,2,8,3,7,1] => [7,4,6,8,5,3,2,1] => [5,7,6,4,8,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,7,1,4,6,3,2,8] => [7,3,6,1,5,4,2,8] => [3,6,5,2,7,1,4,8] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[5,8,1,4,6,3,7,2] => [8,7,6,1,5,4,3,2] => [5,6,7,3,8,1,2,4] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[3,6,7,4,5,8,2,1] => [2,8,3,7,4,6,5,1] => [3,2,6,7,1,8,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[5,6,4,1,8,7,3,2] => [4,3,6,7,5,2,8,1] => [5,6,3,4,8,1,7,2] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[3,6,8,4,5,7,2,1] => [2,7,3,8,4,6,5,1] => [3,2,7,6,1,8,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[6,8,1,4,5,3,7,2] => [8,7,5,1,4,6,3,2] => [5,6,7,3,1,8,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[3,8,1,5,4,6,7,2] => [8,7,3,5,1,4,6,2] => [3,5,7,8,4,1,2,6] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[3,7,1,5,4,6,8,2] => [7,8,3,5,1,4,6,2] => [5,3,7,8,4,1,2,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[5,6,4,2,7,3,8,1] => [8,4,6,7,5,3,2,1] => [4,7,6,5,8,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,2,8,3,6,1] => [6,7,8,5,4,3,2,1] => [7,6,5,8,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,1,4,6,3,2,7] => [8,3,6,1,5,4,2,7] => [3,6,5,2,8,1,4,7] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[3,8,1,5,4,6,2,7] => [8,6,3,5,1,4,2,7] => [3,5,6,8,4,1,2,7] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[7,3,8,1,4,2,5,6] => [8,4,7,1,2,5,3,6] => [4,8,7,3,2,1,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,5,4,7,8,2] => [6,8,3,5,1,4,7,2] => [5,3,6,7,4,1,8,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[3,4,1,2,6,8,7,5] => [4,1,3,2,7,6,8,5] => [3,1,4,2,6,8,7,5] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[6,8,3,1,4,7,2,5] => [3,8,7,2,1,6,4,5] => [7,3,6,1,4,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,4,7,2,8,5,1,3] => [5,8,2,7,6,1,4,3] => [8,5,1,6,7,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,5,4,7,2,6] => [8,7,3,5,1,2,4,6] => [3,5,7,8,4,2,6,1] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[7,8,4,2,6,5,1,3] => [5,4,2,6,8,1,7,3] => [6,7,1,4,5,3,8,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[7,8,3,1,4,6,5,2] => [3,8,5,2,6,4,7,1] => [7,3,5,1,6,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,3,1,4,5,2,8] => [3,7,5,2,4,6,1,8] => [6,3,5,1,2,7,4,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[6,8,4,2,7,5,3,1] => [3,5,4,7,8,6,2,1] => [7,3,6,4,5,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,4,7,2,8,5,3,1] => [3,5,8,7,6,2,4,1] => [8,5,3,6,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,8,5,7,6] => [4,1,3,2,8,7,5,6] => [3,1,4,2,7,8,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[3,4,1,2,5,8,7,6] => [4,1,3,2,5,7,8,6] => [3,1,4,2,5,8,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[6,8,3,1,4,5,2,7] => [3,8,5,2,4,6,1,7] => [6,3,5,1,2,8,4,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,3] => [9,2,1,4,5,6,7,8,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,4] => [9,2,3,1,5,6,7,8,4] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,5] => [9,2,3,4,1,6,7,8,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,6] => [9,2,3,4,5,1,7,8,6] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,7] => [9,2,3,4,5,6,1,8,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,8] => [9,2,3,4,5,6,7,1,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,6,5,4,1,3,2] => [4,3,1,5,6,7,8,9,2] => [3,9,2,4,5,6,7,8,1] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,10,3] => [10,2,1,4,5,6,7,8,9,3] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,8,7,6,5,2,4,1,3] => [4,5,1,2,6,7,8,9,3] => [9,4,2,3,5,6,7,8,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,10,4] => [10,2,3,1,5,6,7,8,9,4] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,10,5] => [10,2,3,4,1,6,7,8,9,5] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,10,6] => [10,2,3,4,5,1,7,8,9,6] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,5,4,7,3,2,1,6] => [2,3,7,5,8,1,4,6] => [7,2,3,8,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[10,9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,10,7] => [10,2,3,4,5,6,1,8,9,7] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,5,8,4,3,2,1,7] => [2,3,4,8,6,5,1,7] => [6,2,3,4,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,4,7,6,3,2,1,5] => [2,3,6,7,4,8,1,5] => [8,2,3,7,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[10,9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,10,8] => [10,2,3,4,5,6,7,1,9,8] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,10,1,9] => [10,2,3,4,5,6,7,8,1,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[5,8,6,2,3,4,7,1] => [7,6,2,3,5,8,4,1] => [5,7,1,2,8,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[4,5,2,7,3,1,8,6] => [3,7,5,4,1,8,2,6] => [5,3,4,8,2,7,6,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,3,7,8,6,5,1,2] => [5,1,4,3,6,8,7,2] => [4,1,7,2,5,6,8,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[7,8,2,1,5,6,4,3] => [2,8,4,6,1,5,7,3] => [4,2,7,6,3,1,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,6,2,5,8,4,3,7] => [1,6,4,8,2,5,3,7] => [1,6,8,4,3,2,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,1,8,7,4,5,3,6] => [2,1,5,7,4,3,8,6] => [2,1,8,5,3,4,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[7,3,1,6,8,5,2,4] => [3,7,5,1,8,2,6,4] => [8,3,7,2,5,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,3,8,7,4,5] => [6,2,1,7,4,3,8,5] => [2,8,1,6,3,5,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,4,3,7,2,6,1] => [6,7,4,5,8,2,3,1] => [6,4,8,7,5,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,8,3,4,1,7,5,6] => [4,2,8,3,7,5,1,6] => [2,7,4,1,8,3,6,5] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,8,5,3,1,7,6,4] => [3,2,5,8,6,7,4,1] => [2,8,3,5,6,7,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,7,5,1,6,4,2] => [5,4,3,7,6,2,8,1] => [3,5,8,4,6,1,7,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[8,3,7,5,2,6,4,1] => [4,6,5,7,8,1,3,2] => [8,6,7,4,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,6,1,5,3,2] => [6,3,5,4,1,7,8,2] => [3,5,4,8,2,6,7,1] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[7,4,8,6,2,1,5,3] => [2,6,5,8,4,7,1,3] => [6,2,8,5,1,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,5,4,3,8,2,1,6] => [2,8,4,5,7,1,3,6] => [4,2,8,5,7,3,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,7,8,6,1,2,5,3] => [6,1,5,4,2,8,7,3] => [4,1,5,7,3,6,8,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[5,7,8,6,1,2,4,3] => [6,1,4,2,5,8,7,3] => [4,1,5,3,7,6,8,2] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[6,4,7,8,3,1,2,5] => [3,1,8,6,2,4,7,5] => [6,1,3,7,4,5,8,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[7,6,4,8,3,2,1,5] => [2,3,8,6,1,7,4,5] => [6,2,3,8,4,7,5,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,5,8,6,2,1,4,3] => [2,6,4,1,8,7,3,5] => [4,2,8,3,6,7,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,3,4,7,2,5,6,1] => [6,7,8,3,2,5,4,1] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,6,1,5,7,3] => [6,2,8,4,3,7,5,1] => [2,6,4,8,1,7,3,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,5,8,6,1,4,7,3] => [6,2,8,3,5,7,4,1] => [2,6,5,1,8,7,3,4] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[8,3,5,7,2,4,6,1] => [6,7,8,2,3,4,5,1] => [8,7,6,2,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,4,1,3,7,5] => [4,2,1,8,7,6,3,5] => [2,6,1,4,7,8,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[2,5,8,3,1,4,7,6] => [3,2,8,1,5,7,4,6] => [2,5,3,1,7,8,6,4] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[2,3,5,4,1,8,6,7] => [4,2,3,5,1,8,6,7] => [2,3,5,4,1,8,6,7] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[2,3,6,4,8,1,5,7] => [8,2,3,6,1,4,5,7] => [2,3,6,8,4,5,1,7] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,8,4,6,3,5,2,7] => [1,5,6,8,3,4,2,7] => [1,8,6,5,3,2,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,8,6,2,1,3,7] => [2,6,1,5,4,8,3,7] => [5,2,1,8,3,6,4,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,5,6,1,4,7,8,3] => [6,2,8,1,5,4,7,3] => [2,6,5,3,7,1,8,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,8,7,6,3,2,4,5] => [1,3,6,2,4,7,8,5] => [1,8,3,2,4,6,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,7,2,4,8] => [5,7,6,2,3,1,4,8] => [7,5,6,2,3,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,3,5,8,4,1,2,6] => [4,1,8,7,2,3,5,6] => [8,1,4,7,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,5,2,7,6,3] => [1,5,6,7,3,8,2,4] => [1,8,7,5,3,6,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,4,7,1,8,2] => [7,8,6,5,3,4,1,2] => [6,5,7,8,2,1,4,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[3,7,1,6,8,5,2,4] => [7,5,3,2,8,1,6,4] => [3,7,8,1,5,4,2,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,3,1,8,6,4,7,5] => [3,2,1,6,8,7,5,4] => [2,3,1,8,6,7,4,5] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,3,1,8,6,4,5,7] => [3,2,1,6,4,8,5,7] => [2,3,1,8,4,6,5,7] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[3,7,1,6,8,5,4,2] => [7,4,3,5,8,1,6,2] => [3,4,8,7,5,2,1,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[6,4,8,5,3,1,2,7] => [3,1,5,8,6,2,4,7] => [8,1,3,5,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,7,5,1,8,6] => [5,2,3,4,7,8,1,6] => [2,3,4,8,5,7,6,1] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,7,5,1,6,8] => [5,2,3,4,7,1,6,8] => [2,3,4,7,5,1,6,8] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[2,3,4,7,1,6,8,5] => [7,2,3,4,8,1,6,5] => [2,3,4,8,7,5,1,6] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,6,1,8,7,5] => [6,2,3,4,7,1,8,5] => [2,3,4,8,6,5,7,1] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[6,3,5,8,4,2,7,1] => [7,4,8,6,2,5,3,1] => [6,8,4,7,2,1,3,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,4,8,5,3,2,1,6] => [2,3,5,8,7,4,1,6] => [8,2,3,5,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,5,2,3,6,7] => [1,5,2,8,4,3,6,7] => [1,8,2,5,3,4,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,4,6,3,8,1] => [8,2,6,7,5,4,3,1] => [2,5,7,6,8,1,3,4] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[5,4,1,7,8,3,2,6] => [4,3,5,8,2,1,7,6] => [5,7,3,4,1,2,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,4,2,7,8,3,6,1] => [6,4,5,8,3,2,7,1] => [5,7,6,4,1,2,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,1,4,6,8,3,2,7] => [5,3,8,1,4,6,2,7] => [5,6,3,2,1,8,4,7] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[8,1,6,2,4,3,5,7] => [8,6,4,2,3,1,5,7] => [4,6,8,2,1,5,3,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[8,7,3,2,4,6,5,1] => [5,3,6,1,7,4,8,2] => [6,8,3,2,5,1,7,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,6,3,4,5,7,1] => [7,8,6,3,4,2,5,1] => [7,6,8,1,2,4,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,7,6,3,4,5,2,8] => [1,5,6,3,4,7,2,8] => [1,7,5,2,3,6,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,2,5,4,3,6,8] => [1,7,4,5,2,3,6,8] => [1,4,7,5,3,2,6,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[6,8,3,2,4,7,5,1] => [5,3,7,1,8,6,4,2] => [6,7,3,2,5,8,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[8,1,6,3,4,5,2,7] => [8,5,6,3,4,1,2,7] => [5,8,6,1,2,4,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,2,5,4,3,6,7] => [8,1,4,5,2,3,6,7] => [4,1,8,5,3,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,4,8,7,5,2,6,1] => [6,5,3,4,7,2,8,1] => [3,4,6,8,5,1,7,2] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[3,2,8,6,1,5,4,7] => [6,3,2,5,1,8,4,7] => [3,5,1,8,4,6,2,7] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[8,6,1,2,4,3,5,7] => [6,1,4,2,3,8,5,7] => [4,1,8,3,2,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,3,6,2,4,8,7,1] => [7,6,5,2,3,4,8,1] => [5,6,8,2,3,1,7,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[3,5,2,8,6,1,4,7] => [6,5,3,1,2,8,4,7] => [3,5,8,2,4,6,1,7] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[2,5,4,1,8,6,3,7] => [4,2,5,6,3,8,1,7] => [2,8,5,4,1,6,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,1,8,2,5,4] => [6,7,3,5,1,8,2,4] => [5,3,7,8,4,6,2,1] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => [1,6,8,2,7,5,4,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,1,3,6,4,7,2,5] => [8,7,1,6,2,3,4,5] => [6,7,2,8,4,5,3,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,1,3,6,4,8,2,5] => [7,8,1,6,2,3,4,5] => [7,6,2,8,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,1,3,5,7,4,6] => [2,8,1,7,3,4,5,6] => [7,2,1,8,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,6,3,1,4,7,5] => [3,6,8,2,7,1,4,5] => [8,6,3,1,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,1,3,8,2,6] => [4,5,1,7,8,2,3,6] => [8,7,2,4,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,4,1,2,6] => [4,1,5,8,7,2,3,6] => [8,1,5,4,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,6,1,4,8,5] => [6,7,2,1,8,3,4,5] => [8,7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,2,5,8,4,6] => [1,7,3,8,2,4,5,6] => [1,3,8,7,4,5,6,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => [1,8,2,7,4,5,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,8,1,3,6,2,5] => [8,6,1,7,2,3,4,5] => [6,8,2,7,4,5,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,2,3,5,7,4,6] => [8,1,2,7,3,4,5,6] => [7,1,2,8,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,1,2,3,5,8,4,6] => [7,1,2,8,3,4,5,6] => [8,1,2,7,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,4,7,3,2,5] => [6,3,8,2,1,7,4,5] => [6,8,3,1,4,7,5,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,3,1,8,5,4,6,7] => [3,2,1,5,8,4,6,7] => [2,3,1,8,5,4,6,7] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[8,6,5,1,3,4,2,7] => [5,4,1,3,6,8,2,7] => [4,8,2,1,5,6,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,6,1,8,5,2] => [6,5,3,4,7,8,2,1] => [3,4,7,8,5,6,1,2] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[3,5,2,6,7,1,8,4] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[6,8,4,2,5,1,7,3] => [5,4,8,7,3,6,1,2] => [6,7,4,5,1,8,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[8,3,1,4,7,2,6,5] => [3,8,7,2,6,1,4,5] => [7,3,6,1,8,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,3,2,1,5,7,4,6] => [2,3,8,7,1,4,5,6] => [7,2,3,8,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,3,6,4,8,1,2,5] => [8,1,7,6,2,3,4,5] => [6,1,7,8,4,5,3,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,3,6,4,7,1,2,5] => [7,1,8,6,2,3,4,5] => [7,1,6,8,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,2,8,3,5,7,4,6] => [1,2,8,7,3,4,5,6] => [1,2,7,8,4,5,6,3] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,8,3,2,5,7,4,6] => [1,3,8,7,2,4,5,6] => [1,7,3,8,4,5,6,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,3,6,4,8,2,1,5] => [2,8,7,6,1,3,4,5] => [6,2,7,8,4,5,3,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[6,1,7,3,4,2,8,5] => [6,4,7,3,8,1,2,5] => [7,8,4,1,6,5,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,7,1,6,5,2,4] => [7,5,6,3,8,1,2,4] => [6,8,7,1,5,4,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,1,7,4,2,8,6,3] => [5,4,7,6,1,8,3,2] => [7,8,4,5,3,6,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,2,8,6,5,1,7,3] => [5,4,6,2,8,7,1,3] => [6,8,4,2,5,7,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,4,7,1,5,2,3] => [7,5,2,6,1,8,4,3] => [5,8,1,7,4,6,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,1,6,4,2,3,8,7] => [5,4,2,6,1,3,8,7] => [5,6,1,4,3,2,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[2,4,3,8,1,6,7,5] => [8,2,4,3,7,1,6,5] => [2,4,7,1,8,5,3,6] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[4,2,3,7,8,5,1,6] => [5,4,2,3,8,1,7,6] => [4,7,1,2,5,3,8,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[5,1,6,4,2,3,7,8] => [5,4,2,6,1,3,7,8] => [5,6,1,4,3,2,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[6,4,7,8,1,5,2,3] => [8,5,2,6,1,4,7,3] => [5,7,1,6,4,2,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[8,7,4,6,1,5,2,3] => [6,5,2,7,1,4,8,3] => [6,8,1,5,4,2,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,7,4,8,1,5,2,3] => [8,5,2,7,1,6,4,3] => [5,7,1,6,4,8,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[7,3,2,4,8,1,5,6] => [8,3,7,2,1,5,4,6] => [3,8,7,1,4,2,6,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,6,7,1,5,2,3] => [7,5,2,8,1,4,6,3] => [7,8,1,5,4,2,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,6,8,4,2,3,7] => [5,4,2,8,1,6,3,7] => [5,6,1,4,3,8,2,7] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[8,5,6,7,1,4,2,3] => [7,4,2,1,8,5,6,3] => [4,8,1,3,7,2,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,7,5,1,4,2,3] => [5,4,2,1,7,8,6,3] => [4,8,1,3,5,7,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,6,5,1,4,2,3] => [5,4,2,1,6,8,7,3] => [4,7,1,3,5,6,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[5,4,1,3,6,7,2,8] => [4,5,2,7,3,6,1,8] => [6,5,1,4,2,7,3,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[8,4,1,2,6,3,7,5] => [4,1,8,6,7,3,2,5] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,1,5,4,2,8] => [7,4,5,6,1,2,3,8] => [4,7,6,5,3,2,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[4,5,1,3,6,8,2,7] => [5,8,1,4,3,6,2,7] => [5,4,2,6,1,8,3,7] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[4,7,1,2,6,3,8,5] => [7,1,6,4,8,2,3,5] => [4,1,7,8,6,5,3,2] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[7,1,6,4,5,8,3,2] => [7,3,8,6,4,1,5,2] => [6,7,3,8,1,5,2,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[3,5,1,4,7,6,8,2] => [5,8,3,1,4,7,6,2] => [5,3,7,2,1,8,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[6,8,5,7,1,4,3,2] => [7,3,4,1,8,6,5,2] => [3,7,4,2,6,8,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,3,1,5,6,4,8] => [3,7,2,6,1,5,4,8] => [6,3,1,7,4,2,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[8,3,1,4,5,6,7,2] => [3,8,7,2,4,5,6,1] => [8,3,7,1,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,8,4,3,6,2] => [7,6,4,8,1,3,5,2] => [6,7,8,4,3,2,1,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,8,1,6,4,3,7,2] => [8,7,4,6,5,1,3,2] => [4,5,7,6,8,3,1,2] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[5,3,1,8,4,6,7,2] => [3,5,7,8,2,4,6,1] => [8,7,3,5,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,5,6,3,8,7] => [2,4,6,1,5,3,8,7] => [5,2,4,3,6,1,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[7,1,4,5,6,8,3,2] => [7,3,8,1,4,5,6,2] => [7,8,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,6,7,1,4,3,2] => [7,3,4,1,8,5,6,2] => [3,8,4,2,7,1,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,7,4,6,8,2] => [5,8,3,7,1,4,6,2] => [5,3,8,7,4,1,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,1,5,6,4,8,3,2] => [7,3,8,6,1,5,4,2] => [6,7,3,8,4,1,2,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,1,6,5,4,8,3,2] => [7,3,8,5,6,1,4,2] => [5,6,3,8,7,4,1,2] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[5,7,6,8,1,4,3,2] => [8,3,4,1,5,7,6,2] => [3,5,4,2,7,8,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[4,3,1,6,5,8,7,2] => [3,4,7,2,6,5,8,1] => [6,4,3,1,8,2,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,3,1,2,4,8,7,6] => [3,1,5,2,4,7,8,6] => [5,1,3,2,4,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,3,7,2,8,4,1,6] => [4,8,7,5,1,2,3,6] => [8,4,5,7,3,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,5,8,3,1,6] => [3,8,7,1,4,2,5,6] => [8,3,7,2,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,5,2,8,7,6] => [3,5,1,4,2,7,8,6] => [4,3,2,5,1,8,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,6,4,5,2,8,7,3] => [1,5,7,6,4,2,8,3] => [1,8,5,6,2,4,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,2,6,3,5,8] => [1,4,7,6,2,3,5,8] => [1,7,4,6,3,5,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,7,4,1,6,3,2,8] => [4,3,7,6,5,2,1,8] => [4,6,3,5,7,1,2,8] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[5,7,4,8,6,3,1,2] => [3,1,6,8,5,7,2,4] => [6,1,3,5,8,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,8,3,5,6,7,1,2] => [7,1,8,4,3,5,6,2] => [7,1,4,8,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,8,3,5,6,7,2,4] => [1,7,8,2,3,5,6,4] => [1,8,7,3,4,2,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,1,5,6,7,2,3] => [8,7,2,4,1,5,6,3] => [4,7,1,8,3,2,5,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,1,3,5,6,7,2,8] => [4,7,1,3,5,6,2,8] => [5,4,2,1,6,7,3,8] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[5,8,4,3,6,1,2,7] => [6,1,4,8,5,3,2,7] => [5,1,6,4,8,2,3,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[5,3,8,4,1,7,2,6] => [4,8,7,5,1,3,2,6] => [8,4,5,7,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,3,6,7,5,2] => [1,5,7,4,8,2,6,3] => [1,7,4,8,5,3,2,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,8,1,5,6,7,4,2] => [8,4,3,7,1,5,6,2] => [3,4,8,7,2,1,5,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,8,2,5,6,7,1,4] => [7,8,3,1,2,5,6,4] => [7,3,8,2,4,1,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,3,5,6,7,4,2] => [8,4,1,7,3,5,6,2] => [4,8,2,7,1,3,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,4,3,6,2,1,5] => [2,6,4,8,1,3,7,5] => [6,2,7,4,3,5,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[4,3,1,8,5,7,6,2] => [3,4,6,2,7,8,1,5] => [8,4,3,1,7,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,6,8,7,5,2] => [3,4,5,2,7,6,8,1] => [6,4,3,1,5,8,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,3,5,8,2,7,1,4] => [7,8,6,1,3,5,2,4] => [7,6,8,3,2,1,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,5,4,8,6,2,1,3] => [2,6,1,5,8,7,3,4] => [6,2,1,8,5,7,4,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,7,6,5,8,3,4,2] => [1,4,8,3,6,7,5,2] => [1,6,4,2,8,7,3,5] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,8,5,3,6,7,4,2] => [1,4,7,5,8,2,6,3] => [1,8,4,7,5,3,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,1,5,6,7,3,2] => [4,3,8,7,2,5,6,1] => [4,8,3,7,1,2,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,4,2,5,6,7,1,3] => [7,4,1,8,2,5,6,3] => [7,8,2,4,3,1,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,1,8,5,6,7,3,2] => [4,3,7,1,8,5,6,2] => [4,8,3,2,7,1,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,5,6,7,3,4] => [1,2,7,3,8,5,6,4] => [1,2,8,3,7,4,5,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,7,1,4,3,6,5,8] => [7,2,4,1,6,3,5,8] => [2,4,6,3,7,5,1,8] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[4,3,7,2,5,6,8,1] => [8,7,4,3,2,5,6,1] => [4,7,8,1,2,3,5,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[2,6,3,1,4,5,8,7] => [3,2,6,1,4,5,8,7] => [2,6,3,1,4,5,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[3,7,1,4,2,6,8,5] => [7,4,3,1,8,2,6,5] => [3,4,8,2,7,5,1,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,7,1,5,6,2,8,4] => [7,6,3,8,1,5,2,4] => [3,7,8,6,4,1,5,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[8,4,2,6,3,7,1,5] => [7,4,8,6,1,3,2,5] => [6,8,4,7,3,2,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,2,3,5,7,1,6] => [7,4,2,8,3,1,5,6] => [7,8,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,3,4,6,2,8,1,7] => [8,6,5,3,4,2,1,7] => [5,6,8,1,2,3,4,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,4,7,2,3,8,1,5] => [8,7,2,6,1,4,3,5] => [6,7,1,8,4,3,5,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[6,5,7,2,8,3,1,4] => [3,8,7,2,6,5,1,4] => [7,3,6,1,8,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,6,5,1,8,3,4,7] => [5,2,6,1,8,3,4,7] => [2,8,6,3,5,4,1,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,6,1,4,5,2,3] => [6,5,2,1,4,7,8,3] => [5,8,1,3,2,6,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,7,6,1,3,2,5,4] => [6,3,1,5,2,7,8,4] => [3,5,2,8,4,6,7,1] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[8,7,4,5,1,6,2,3] => [5,6,2,7,4,1,8,3] => [8,6,1,5,2,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,4,1,7,2,3] => [4,6,1,7,8,5,2,3] => [8,7,2,4,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,2,3,1,8,5] => [3,4,2,7,8,6,1,5] => [7,3,1,4,6,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,5,4,1,8,2,3] => [4,5,2,7,8,6,1,3] => [7,6,1,4,5,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,10,1,2,3,4,6,7,8,9] => [10,1,2,3,5,4,6,7,8,9] => [5,1,2,3,10,4,6,7,8,9] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,11,1,3,4,5,6,7,8,9,10] => [11,2,1,3,4,5,6,7,8,9,10] => [2,11,1,3,4,5,6,7,8,9,10] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,3,10,1,4,5,6,7,8,9] => [10,2,3,1,4,5,6,7,8,9] => [2,3,10,1,4,5,6,7,8,9] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,4,1,8,6,2] => [4,5,6,8,3,7,2,1] => [8,6,5,4,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,8,4,5,2,6] => [7,5,3,8,4,2,1,6] => [3,7,8,5,1,2,6,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,1,6,3,7,8,5] => [2,4,6,1,8,3,7,5] => [7,2,4,3,6,5,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,4,3,5,8,6,1,2] => [6,1,4,8,2,7,5,3] => [6,1,8,4,3,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,7,6,8,3,1,4,5] => [3,2,8,1,4,7,6,5] => [2,7,3,1,4,8,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,4,3,5,8,6,2,1] => [2,6,4,8,1,7,5,3] => [6,2,8,4,3,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,2,1,3,7,8,6,5] => [2,4,1,3,6,8,7,5] => [4,2,1,3,7,6,8,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[3,7,8,6,2,1,4,5] => [2,6,3,1,4,8,7,5] => [3,2,7,1,4,6,8,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[4,2,1,3,6,8,7,5] => [2,4,1,3,7,6,8,5] => [4,2,1,3,6,8,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[7,3,2,4,8,6,5,1] => [5,3,6,2,8,7,4,1] => [6,8,3,1,5,7,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,2,1,6,3,8,7,5] => [2,4,6,1,7,3,8,5] => [8,2,4,3,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,5,2,1,8,4] => [2,5,3,7,8,6,4,1] => [3,2,7,6,5,8,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[7,3,4,2,6,8,5,1] => [5,4,8,1,7,2,6,3] => [5,8,4,3,7,2,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,8,6,2,7,3,5,1] => [5,6,8,4,2,7,3,1] => [6,5,4,8,2,7,1,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,3,4,2,6,8,1,5] => [8,4,7,3,1,2,6,5] => [4,8,7,1,3,5,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,5,2,4,8,1] => [8,5,3,2,7,6,4,1] => [3,5,7,1,6,8,2,4] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[3,6,7,5,2,4,1,8] => [4,5,3,2,7,6,1,8] => [4,3,6,1,5,7,2,8] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[4,2,1,7,3,6,5,8] => [2,4,7,1,6,3,5,8] => [6,2,4,3,7,5,1,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[4,2,1,7,3,6,8,5] => [2,4,7,1,8,3,6,5] => [8,2,4,3,7,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,8,4,2,5,1] => [5,4,3,8,2,7,6,1] => [3,5,7,4,1,8,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[5,8,1,7,4,2,6,3] => [8,4,7,6,5,3,1,2] => [4,7,5,6,8,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,2,1,3,8,6,7,5] => [2,4,1,3,7,8,6,5] => [4,2,1,3,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,2,1,8,3,7,6,5] => [2,4,8,1,6,7,3,5] => [6,2,4,3,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,8,2,4,1,3,6,5] => [4,8,1,2,6,3,7,5] => [6,4,2,3,7,5,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[4,6,3,5,8,7,1,2] => [7,1,6,4,3,5,8,2] => [4,1,6,8,2,3,7,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[3,5,6,1,4,8,7,2] => [6,7,3,1,5,4,8,2] => [5,3,6,2,8,1,7,4] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[4,7,5,2,1,3,6,8] => [2,5,1,4,7,3,6,8] => [4,2,1,7,5,3,6,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[3,5,6,2,4,1,7,8] => [4,6,3,2,5,1,7,8] => [4,3,5,1,6,2,7,8] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[6,7,8,4,1,5,3,2] => [4,3,8,5,2,6,7,1] => [4,6,3,5,1,7,8,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[7,4,6,5,2,8,1,3] => [8,5,1,6,7,2,4,3] => [5,8,2,7,6,4,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,5,6,4,2,3,8] => [7,4,2,6,1,5,3,8] => [4,7,1,6,3,2,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[4,5,8,6,1,7,3,2] => [6,3,8,4,5,7,2,1] => [4,5,3,6,8,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[4,8,5,1,6,7,3,2] => [5,3,8,4,7,2,6,1] => [4,5,3,8,7,1,2,6] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[8,1,4,5,6,7,3,2] => [8,3,7,1,4,5,6,2] => [3,8,7,2,1,4,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,5,2,1,6,7,3] => [2,5,8,4,7,3,6,1] => [5,2,4,8,7,1,3,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,8,4,6,2,5,3,7] => [1,6,5,8,2,4,3,7] => [1,6,8,5,4,2,3,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,3,1,4,6,2,5,7] => [3,8,6,2,1,4,5,7] => [8,3,6,1,4,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,2,8,4,7,6] => [5,1,3,8,2,7,4,6] => [3,1,7,5,4,8,6,2] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[2,3,5,8,6,1,7,4] => [6,2,3,8,5,7,4,1] => [2,3,6,5,8,7,1,4] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[8,2,4,3,6,7,1,5] => [7,8,4,2,1,3,6,5] => [7,4,8,2,3,5,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,2,8,5,7,1,6,4] => [7,3,2,6,8,1,5,4] => [3,7,1,8,6,5,2,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[8,2,7,1,5,4,6,3] => [7,8,6,5,1,4,2,3] => [6,5,7,8,4,1,3,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,2,5,3,6,8,1,4] => [8,7,5,1,2,3,6,4] => [5,7,8,3,4,2,1,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,7,8,2,6,4,3,5] => [1,8,4,6,3,2,7,5] => [1,4,7,6,2,5,8,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => [1,2,6,7,3,5,4,8] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,6,2,8,4,3,7,5] => [1,6,4,8,7,2,3,5] => [1,6,8,4,7,5,3,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6] => [1,2,3,4,7,8,6,5] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[2,4,7,5,6,8,3,1] => [3,2,8,4,7,5,6,1] => [2,4,3,7,8,1,5,6] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[2,4,8,7,5,6,3,1] => [3,2,6,4,7,5,8,1] => [2,4,3,8,6,1,7,5] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,1,8,5,2,7,6,4] => [3,5,1,8,6,7,4,2] => [8,3,2,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,1,6,4,2] => [7,4,6,8,2,1,5,3] => [6,8,7,4,2,5,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,6,1,4,5,7,2] => [6,7,8,1,4,3,5,2] => [8,7,6,3,1,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,3,4,8,6,1] => [6,2,8,1,5,7,4,3] => [2,6,5,3,8,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,7,8,5,3,6,4,1] => [4,2,6,5,8,1,7,3] => [2,7,4,6,5,3,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,8,7,2,6,4,5] => [3,7,1,6,4,2,8,5] => [6,3,2,8,1,5,7,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,7,1,8,2,6,4,5] => [7,8,3,6,4,2,1,5] => [6,3,7,8,1,4,5,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,3,8,5,1,6,4,2] => [5,4,8,6,7,3,1,2] => [7,8,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,6,1,4,8,5,2] => [6,5,8,1,7,2,4,3] => [7,8,5,3,6,4,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,8,3,6,1,4,5,2] => [6,5,8,1,4,3,7,2] => [6,7,5,3,1,2,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[7,4,8,1,2,3,6,5] => [8,1,2,7,6,3,4,5] => [6,1,2,7,8,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,5,1,2,3,4,8,6] => [5,1,2,3,7,8,4,6] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,8,5,7,3] => [4,1,6,7,8,3,5,2] => [8,1,7,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,1,2,3,7,5] => [6,1,2,4,8,7,5,3] => [4,1,2,8,6,7,3,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[8,4,6,1,2,3,7,5] => [6,1,2,8,7,4,3,5] => [8,1,2,6,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,5,3,8,7,6] => [4,1,5,2,3,7,8,6] => [5,1,4,3,2,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[3,1,4,8,7,5,2,6] => [3,5,1,4,7,2,8,6] => [4,3,2,8,5,1,7,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,4,1,8,2,7,6,3] => [4,5,8,6,2,7,3,1] => [8,6,4,5,2,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,8,7,1,4,2] => [7,4,6,1,5,3,8,2] => [4,6,5,3,8,1,7,2] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[5,4,1,6,8,2,7,3] => [4,5,8,7,2,6,3,1] => [7,6,4,5,2,8,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,4,7,1,2,8,6,3] => [7,1,6,5,4,8,2,3] => [5,1,7,8,2,6,4,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[6,7,4,1,2,8,3,5] => [4,1,7,8,2,6,3,5] => [7,1,6,4,3,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,5,1,2,3,7,8,4] => [5,1,2,6,8,4,7,3] => [7,1,2,6,5,3,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,5,1,2,3,7,4] => [5,1,2,6,8,7,3,4] => [8,1,2,6,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,1,2,5,3,8] => [4,1,7,5,3,6,2,8] => [6,1,4,5,2,7,3,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[7,8,6,4,1,2,5,3] => [4,1,6,5,3,8,7,2] => [7,1,4,5,2,6,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,4,6,3,7,2,5,8] => [1,7,6,4,2,3,5,8] => [1,4,6,7,3,5,2,8] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[8,6,2,5,3,1,7,4] => [3,5,6,8,4,7,2,1] => [8,6,3,5,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,5,1,7,6] => [5,8,2,3,4,7,1,6] => [7,5,1,2,3,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,8,3,4,2,7,5,6] => [1,4,8,3,7,5,2,6] => [1,7,4,2,8,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[8,7,2,3,1,6,5,4] => [3,7,2,5,6,1,8,4] => [5,3,1,8,6,4,7,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,1,4,3,7,2,6,8] => [5,7,4,1,3,2,6,8] => [5,4,7,3,1,2,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[8,1,3,6,2,4,7,5] => [8,6,1,2,7,3,4,5] => [6,8,2,3,7,5,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,1,8,3,7,5,4,6] => [2,1,8,5,7,4,3,6] => [2,1,5,8,7,3,6,4] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[4,5,2,8,1,6,7,3] => [8,5,7,4,2,1,6,3] => [4,7,5,8,2,3,1,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[8,2,7,1,4,6,5,3] => [7,8,5,1,6,4,2,3] => [6,5,8,3,7,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,3,8,2,5,7,4,6] => [1,8,3,7,2,4,5,6] => [1,3,7,8,4,5,6,2] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[3,4,8,5,6,1,7,2] => [6,7,3,4,8,5,1,2] => [4,3,7,8,6,1,5,2] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,4,8,6,2,7,3,5] => [1,6,8,4,2,7,3,5] => [1,6,4,8,3,7,5,2] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,5,6,8,4,1,7,2] => [4,8,3,7,5,6,2,1] => [4,3,6,5,7,8,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[6,2,3,1,5,4,7,8] => [3,6,2,5,1,4,7,8] => [5,3,1,6,4,2,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[8,2,3,1,4,5,7,6] => [3,8,2,1,4,7,5,6] => [7,3,1,2,4,8,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,5,1,3,2,4,7,6] => [5,3,1,2,8,7,4,6] => [3,7,2,1,5,8,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[3,7,4,1,2,6,5,8] => [4,1,3,7,6,2,5,8] => [3,1,6,4,7,5,2,8] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[2,8,1,3,4,6,7,5] => [8,2,1,3,7,4,6,5] => [2,7,1,3,8,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,8,4,1,2,5,7,6] => [4,1,3,8,2,7,5,6] => [3,1,7,4,2,8,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,6,7,5,3,8,4,2] => [1,4,8,5,7,6,2,3] => [1,7,4,5,6,8,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,5,7,2,3,8,4] => [1,7,2,8,6,5,3,4] => [1,7,2,6,8,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,3,8,2,6,5,7,4] => [1,8,3,7,6,2,5,4] => [1,3,6,7,8,5,2,4] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,4,8,3,2,5,7,6] => [1,3,8,4,2,7,5,6] => [1,4,3,7,2,8,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,4,8,3,5,7,6,2] => [1,6,7,4,2,8,5,3] => [1,7,4,8,3,6,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,2,4,8,3,5,7,6] => [1,2,8,4,3,7,5,6] => [1,2,4,7,3,8,6,5] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,3,8,4,2,6,7,5] => [1,4,3,8,7,2,6,5] => [1,3,7,4,8,5,2,6] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => [1,4,2,7,3,8,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[4,2,6,7,5,8,3,1] => [3,8,4,1,7,6,5,2] => [6,3,4,2,7,8,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,7,5,2,1,8,4,3] => [2,5,4,7,8,6,3,1] => [6,2,7,4,5,8,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,7,5,2,8,4,6,3] => [1,5,7,6,8,2,3,4] => [1,8,6,7,5,4,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,8,3,1,7,2,4] => [3,8,7,1,5,6,2,4] => [6,3,5,2,7,8,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[3,4,7,1,8,6,2,5] => [7,6,3,4,2,8,1,5] => [3,4,7,8,1,6,5,2] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[3,8,2,5,6,1,4,7] => [6,8,3,1,2,5,4,7] => [6,3,8,2,4,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,5,2,8,6,4,1,7] => [4,6,3,5,1,8,2,7] => [4,3,8,5,2,6,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,1,2,8,5,6,4,7] => [3,1,2,6,8,5,4,7] => [3,1,2,8,6,4,5,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[5,2,6,8,4,1,3,7] => [4,8,2,5,1,6,3,7] => [6,4,1,5,3,8,2,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,5,6,8,3,4,2,7] => [1,4,8,3,5,6,2,7] => [1,5,4,2,6,8,3,7] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,5,8,1,6,3,2,7] => [8,3,6,4,5,1,2,7] => [3,5,4,6,8,2,1,7] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[4,5,1,6,8,3,2,7] => [5,3,8,4,1,6,2,7] => [4,5,3,6,2,8,1,7] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[7,1,3,5,4,8,2,6] => [7,8,1,5,3,2,4,6] => [7,5,2,8,3,4,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,6,3,7,8,5,2,1] => [2,5,8,4,6,1,7,3] => [5,2,4,7,6,3,8,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[6,3,7,1,8,4,5,2] => [7,5,6,8,4,3,1,2] => [6,8,7,5,1,2,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,2,5,6,7,8,1,4] => [8,3,2,1,5,6,7,4] => [3,5,1,2,6,7,8,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[5,2,3,6,7,8,4,1] => [4,8,1,5,3,6,7,2] => [6,4,2,5,1,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,2,7,1,3,4,8,5] => [7,6,1,3,8,2,4,5] => [7,8,2,1,6,5,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,4,2,7,1,8,3,5] => [7,4,6,8,2,3,1,5] => [6,8,7,4,2,3,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,2,6,3,7,8,5,1] => [5,4,8,2,6,1,7,3] => [5,7,4,2,6,3,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[3,6,2,7,4,1,8,5] => [4,7,3,6,8,1,2,5] => [4,3,8,7,6,5,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,1,8,3,4,2,5,6] => [7,4,8,3,2,5,1,6] => [7,8,4,1,2,3,6,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,4,8,6,2,1,5] => [2,6,8,1,3,7,4,5] => [8,2,6,3,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,2,1,8,6,4] => [2,7,3,6,5,8,1,4] => [3,2,5,7,8,6,4,1] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[6,3,7,8,2,5,4,1] => [4,5,8,6,3,1,7,2] => [7,6,4,5,1,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,6,2,7,1,8,5,3] => [7,6,5,4,8,2,1,3] => [4,6,7,8,5,2,3,1] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[2,5,7,8,1,6,3,4] => [8,2,6,3,5,1,7,4] => [2,5,6,1,7,4,8,3] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,6,4,7,8,2,5,3] => [1,8,5,6,2,4,7,3] => [1,5,7,6,4,2,8,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[5,6,1,2,7,8,4,3] => [6,1,4,8,5,2,7,3] => [5,1,6,4,7,3,8,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,6,7,4,8,5,3,2] => [1,3,5,8,7,6,2,4] => [1,7,3,5,6,8,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,8,3,5,1,4,6] => [5,7,8,1,3,4,2,6] => [8,7,5,3,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,4,3,6,2,8] => [1,6,4,7,5,3,2,8] => [1,5,6,4,7,2,3,8] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,8,2,4,6,3,7,5] => [1,8,6,2,7,4,3,5] => [1,6,8,3,7,4,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,8,2,5,4,6,7,3] => [1,8,7,5,2,4,6,3] => [1,5,7,8,4,2,3,6] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,4,7,5,2,6,8,3] => [1,5,7,4,8,3,6,2] => [1,7,4,8,5,2,3,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,5,4,7,1,6,8,3] => [7,2,8,5,4,1,6,3] => [2,7,5,8,1,4,3,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,2,3,8,6,7,1,5] => [7,4,2,3,1,8,6,5] => [4,8,1,2,3,7,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,4,8,3,7,1] => [7,6,8,5,2,4,3,1] => [6,7,5,8,3,1,2,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,2,3,4,8,1,6,7] => [8,5,2,3,4,1,6,7] => [5,8,1,2,3,4,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,5,2,4,7,1,6,8] => [7,5,3,2,4,1,6,8] => [3,5,7,1,2,4,6,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[4,5,3,7,1,6,2,8] => [7,6,5,4,3,1,2,8] => [4,5,6,7,1,3,2,8] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,4,3,7,8,2,5,6] => [1,8,4,3,2,5,7,6] => [1,4,7,2,3,5,8,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[4,2,6,7,3,8,1,5] => [8,4,7,2,1,6,3,5] => [4,7,6,2,3,8,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,3,7,2,8,6,4,5] => [1,7,3,6,4,8,2,5] => [1,3,7,8,2,6,5,4] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,4,3,7,8,6,2,5] => [1,6,4,3,2,8,7,5] => [1,4,7,2,3,6,8,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,5,3,6,8,2,7,4] => [1,8,5,7,3,6,2,4] => [1,5,7,6,3,8,4,2] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,3,6,5,7,8,1,2] => [8,1,4,3,6,5,7,2] => [4,1,6,2,7,3,8,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[5,2,6,4,7,8,3,1] => [3,8,5,6,1,4,7,2] => [7,3,5,6,4,1,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,2,5,6,8,1,7,4] => [8,3,2,7,5,6,1,4] => [3,5,1,6,7,8,4,2] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[8,4,6,7,5,2,3,1] => [3,5,2,7,8,1,6,4] => [8,3,1,7,5,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,5,3,1,8,7] => [3,5,4,6,1,2,8,7] => [6,3,5,4,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,4,2,5,3,8,7,1] => [7,4,6,5,3,2,8,1] => [4,8,5,6,1,2,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,5,3,8,7,1] => [7,6,5,4,2,3,8,1] => [4,5,6,8,2,1,7,3] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[4,8,6,7,5,2,3,1] => [3,5,2,4,7,8,6,1] => [4,3,1,8,5,7,2,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[2,8,6,7,4,5,3,1] => [3,2,5,7,4,8,6,1] => [2,8,3,5,1,7,4,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,7,2,4,5,3,1] => [3,5,7,1,4,6,8,2] => [6,5,3,2,1,8,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[2,6,4,5,8,7,3,1] => [3,2,7,6,4,5,8,1] => [2,6,3,8,1,4,7,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[8,2,4,6,7,5,3,1] => [3,5,7,2,8,4,6,1] => [8,7,3,1,5,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,7,4,5,3,1] => [3,5,8,7,4,1,6,2] => [8,5,3,7,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,2,8,7,3,1] => [3,7,5,6,4,1,8,2] => [8,3,5,6,1,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,6,8,7,5,1] => [5,4,2,3,7,6,8,1] => [4,6,1,2,5,8,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[8,6,7,4,2,5,3,1] => [3,5,4,7,1,8,6,2] => [8,3,5,4,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,7,2,5,3,1] => [3,5,7,8,1,4,6,2] => [8,7,3,5,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,7,5,2,3,1] => [3,5,2,4,7,6,8,1] => [4,3,1,6,5,8,7,2] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[2,1,6,8,7,4,5,3] => [2,1,5,7,4,6,8,3] => [2,1,6,5,3,8,7,4] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[2,6,8,7,4,5,3,1] => [3,2,5,7,4,6,8,1] => [2,6,3,5,1,8,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[2,4,8,6,7,5,3,1] => [3,2,5,4,7,8,6,1] => [2,4,3,8,5,7,1,6] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[6,2,8,4,7,5,3,1] => [3,5,7,6,8,4,2,1] => [8,6,3,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,4,7,5,3,1] => [3,5,7,8,6,4,2,1] => [8,6,3,5,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,2,7,5,3,1] => [3,5,7,4,8,6,2,1] => [6,4,3,7,5,8,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,6,8,7,2,5,3,1] => [3,5,7,4,1,6,8,2] => [5,4,3,6,2,8,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[2,1,6,8,4,7,5,3] => [2,1,5,7,8,6,3,4] => [2,1,7,6,5,8,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[6,8,7,4,2,5,3,1] => [3,5,4,7,1,6,8,2] => [6,3,5,4,2,8,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[2,8,6,4,7,5,3,1] => [3,2,5,7,6,8,1,4] => [2,8,3,5,7,6,4,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,6,2,7,5,3,1] => [3,5,7,4,6,8,2,1] => [5,4,3,8,7,6,1,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[9,4,8,3,7,2,6,1,5] => [6,7,8,9,1,2,3,4,5] => [9,8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,2,4,6,8,1,3,5,7] => [8,9,1,2,3,4,5,6,7] => [9,8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,4,6,8,1,2,3,5,7] => [8,1,2,9,3,4,5,6,7] => [9,1,2,8,4,5,6,7,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,6,8,1,2,3,4,5,7] => [8,1,2,3,4,9,5,6,7] => [9,1,2,3,4,8,6,7,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[7,9,1,2,3,4,5,6,8] => [9,1,2,3,4,5,7,6,8] => [7,1,2,3,4,5,9,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[10,3,5,7,9,1,2,4,6,8] => [9,1,10,2,3,4,5,6,7,8] => [10,1,9,3,4,5,6,7,8,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,5,2,1,4,7,6,3] => [2,5,8,3,6,7,4,1] => [8,2,5,1,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,2,5,8,4,1] => [4,3,8,7,1,6,5,2] => [4,7,3,6,2,8,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[3,2,6,4,8,1,5,7] => [8,3,2,6,1,4,5,7] => [3,6,1,8,4,5,2,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,6,3,5,8,4,2] => [7,4,8,6,2,1,5,3] => [6,8,4,7,2,5,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,3,6,7,4,1,8,2] => [4,7,8,5,1,6,2,3] => [7,5,4,6,3,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,3,1,2,5,8,6,4] => [3,1,7,6,2,8,5,4] => [7,1,3,8,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,4,8,2,7,5,1,6] => [5,7,3,4,8,2,1,6] => [4,3,7,8,5,1,6,2] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[6,3,2,8,5,7,4,1] => [4,3,7,6,8,1,5,2] => [4,8,3,7,6,5,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,8,4,7,2,5,6,1] => [6,7,3,8,2,5,4,1] => [7,3,8,6,2,1,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,4,8,1,5,3,7,6] => [8,2,5,4,1,7,3,6] => [2,4,5,7,3,8,6,1] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,8,4,6,7,3,5,2] => [1,5,7,8,3,4,6,2] => [1,8,7,5,3,2,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,3,4,5,7,2] => [8,7,6,3,4,1,5,2] => [6,7,8,1,2,5,3,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[7,6,5,4,1,2,8,3] => [4,1,5,6,7,8,3,2] => [8,1,7,4,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,5,4,3,6,2] => [8,6,4,5,1,3,7,2] => [4,5,7,6,3,1,8,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[8,1,3,7,6,2,4,5] => [8,6,1,2,4,7,3,5] => [6,8,2,3,1,7,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,6,4,2,8,5,7,1] => [7,4,3,6,8,2,5,1] => [3,4,8,7,6,2,1,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,7,3,2,5,1,8,6] => [5,3,7,4,2,8,1,6] => [4,5,3,8,1,7,6,2] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[3,2,4,7,5,8,6,1] => [6,3,2,4,8,7,1,5] => [3,4,1,8,6,7,5,2] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[4,2,3,8,6,5,1,7] => [5,4,2,3,6,8,1,7] => [4,8,1,2,5,6,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,7,8,5,6,1,2,4] => [6,1,3,2,8,5,7,4] => [3,1,7,2,6,4,8,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[4,6,1,8,3,2,7,5] => [6,3,8,4,7,1,2,5] => [4,6,3,8,7,5,2,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[4,7,8,1,3,2,6,5] => [8,3,1,4,6,2,7,5] => [3,4,2,6,7,5,8,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[4,7,8,3,1,2,6,5] => [3,1,8,4,6,2,7,5] => [4,1,3,6,7,5,8,2] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[4,1,6,8,2,3,7,5] => [4,8,2,1,7,6,3,5] => [6,4,1,3,7,8,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[4,5,2,1,8,3,7,6] => [2,5,8,4,1,7,3,6] => [5,2,4,7,3,8,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,2,6,8,3,1,7,5] => [3,8,4,1,7,6,2,5] => [6,3,4,2,7,8,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[4,2,5,1,8,3,7,6] => [5,4,8,2,1,7,3,6] => [5,7,4,2,3,8,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[4,1,2,5,8,3,7,6] => [4,1,8,2,5,7,3,6] => [5,1,4,3,7,8,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[5,1,2,4,3,8,7,6] => [5,1,4,2,3,7,8,6] => [4,1,5,3,2,8,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[4,2,5,3,8,1,7,6] => [8,4,5,2,3,7,1,6] => [4,7,5,2,1,8,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[3,2,5,4,8,7,1,6] => [7,3,2,5,4,1,8,6] => [3,5,1,8,2,4,7,6] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[3,5,2,4,8,7,1,6] => [7,5,3,2,4,1,8,6] => [3,5,8,1,2,4,7,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,2,1,3,8,7,6] => [2,4,1,5,3,7,8,6] => [5,2,1,4,3,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,4,1,3,2,8,7,6] => [4,3,1,5,2,7,8,6] => [3,5,2,4,1,8,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[5,4,3,1,2,8,7,6] => [3,1,4,5,2,7,8,6] => [5,1,3,4,2,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[4,5,1,3,8,2,7,6] => [5,8,1,4,3,7,2,6] => [5,4,2,7,1,8,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[3,1,5,4,8,7,2,6] => [3,7,1,5,4,2,8,6] => [5,3,2,8,1,4,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,5,4,1,8,7,2,6] => [4,5,3,7,2,1,8,6] => [5,3,8,4,1,2,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,4,5,1,8,7,2,6] => [5,7,3,4,1,2,8,6] => [4,3,5,8,2,1,7,6] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[3,4,1,5,8,7,2,6] => [4,7,3,1,5,2,8,6] => [4,3,5,2,8,1,7,6] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[4,1,3,5,8,2,7,6] => [4,8,1,3,5,7,2,6] => [5,4,2,1,7,8,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[4,3,6,8,2,1,7,5] => [2,8,4,3,7,6,1,5] => [4,2,6,1,7,8,5,3] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[5,3,1,4,2,8,7,6] => [3,5,4,2,1,7,8,6] => [5,3,4,1,2,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[3,4,2,5,8,7,1,6] => [7,4,3,2,5,1,8,6] => [3,4,5,1,8,2,7,6] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[3,2,4,5,8,7,1,6] => [7,3,2,4,5,1,8,6] => [3,4,1,5,8,2,7,6] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[4,2,3,5,8,1,7,6] => [8,4,2,3,5,7,1,6] => [4,5,1,2,7,8,6,3] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[5,1,2,3,4,8,7,6] => [5,1,2,3,4,7,8,6] => [5,1,2,3,4,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[6,5,7,4,2,8,3,1] => [3,8,4,7,6,5,1,2] => [7,3,4,6,8,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,5,3,8,2,4,1] => [4,8,5,2,7,6,3,1] => [7,4,5,2,6,8,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,3,5,6,2,4,1,7] => [4,6,8,2,3,5,1,7] => [8,6,4,2,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,4,6,5,7] => [8,1,2,3,6,4,5,7] => [6,1,2,3,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,2,3,7,8,4,5,1] => [5,6,2,8,4,3,7,1] => [7,6,1,5,2,3,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,3,1,6,5,8,4,2] => [3,7,4,8,6,2,5,1] => [7,3,6,4,8,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,3,8,4,7,2,6,1] => [6,7,5,8,3,2,4,1] => [7,6,8,5,2,3,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,3,7,6,4,2,5] => [8,4,1,6,2,7,3,5] => [4,8,2,6,3,7,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,8,6,2,4] => [3,5,6,1,2,8,7,4] => [7,5,3,2,4,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,5,8,2,7,1,6,4] => [7,8,3,6,5,1,2,4] => [5,3,6,7,8,4,2,1] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[6,2,8,5,3,1,7,4] => [3,5,8,6,7,4,1,2] => [8,5,3,7,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,8,5,1,7,6] => [5,4,3,2,8,7,1,6] => [3,4,7,1,5,8,6,2] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[8,3,7,4,2,5,6,1] => [6,4,7,8,3,5,2,1] => [7,8,6,4,1,2,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,5,7,2,1,3,6] => [2,7,1,4,8,3,5,6] => [4,2,1,8,7,5,6,3] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,4,1,8,2,6,7,5] => [4,8,3,1,7,2,6,5] => [4,3,7,2,8,5,1,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[8,4,6,3,7,1,5,2] => [7,5,6,8,1,4,3,2] => [6,8,7,5,4,1,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,8,3,4,1,5,7,2] => [4,7,8,3,1,6,5,2] => [7,6,4,1,3,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,2,5,7,4,1,3] => [4,7,2,8,1,6,5,3] => [7,6,1,4,3,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,5,7,6,3,1,8,4] => [3,2,6,7,5,8,4,1] => [2,7,3,5,8,6,1,4] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,2,1,8,7,5,6,3] => [2,4,6,1,7,5,8,3] => [8,2,4,3,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,7,1,5,4,2] => [7,4,5,8,1,2,6,3] => [5,8,7,4,3,2,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,3,7,5,8,6,4,2] => [1,4,3,6,8,7,2,5] => [1,3,8,4,6,7,5,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[5,7,8,4,3,1,6,2] => [3,4,8,6,5,1,7,2] => [6,4,3,5,7,2,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[2,7,4,5,8,3,6,1] => [6,2,8,7,4,3,5,1] => [2,8,6,7,1,4,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,1,4,8,6,2] => [7,6,3,1,5,8,4,2] => [3,5,7,2,8,6,1,4] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[7,2,8,5,1,4,6,3] => [5,8,7,2,6,4,3,1] => [8,5,6,2,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,3,8,4,2,7] => [1,4,8,5,6,2,3,7] => [1,8,4,5,6,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,6,1,3,5,2,7] => [6,5,1,4,3,8,2,7] => [4,5,2,8,1,6,3,7] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[3,6,4,8,2,5,7,1] => [7,8,3,6,2,4,5,1] => [6,3,7,8,2,4,1,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,3,7,2,5,8,1,6] => [8,7,4,3,2,1,5,6] => [4,7,8,1,2,5,6,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[3,8,2,1,6,4,5,7] => [2,8,3,6,4,1,5,7] => [3,2,6,8,1,5,4,7] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[8,2,1,3,4,5,7,6] => [2,8,1,3,4,7,5,6] => [7,2,1,3,4,8,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,6,8,3,2,1,5,7] => [2,3,8,4,1,6,5,7] => [4,2,3,6,1,8,5,7] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[7,3,8,2,5,4,1,6] => [4,5,8,7,3,2,1,6] => [8,7,4,5,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,3,8,7,6,1] => [6,4,5,2,3,7,8,1] => [4,8,5,2,1,6,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,8,2,6,5,3,1,7] => [3,5,6,4,8,2,1,7] => [6,4,3,8,5,1,2,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,6,8,5,4,1,3,7] => [4,2,1,5,8,6,3,7] => [2,6,1,4,5,8,3,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[3,1,8,6,5,4,2,7] => [3,4,1,5,6,8,2,7] => [8,3,2,4,5,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,7,3,2,6,1] => [6,3,7,5,4,2,8,1] => [5,6,3,8,1,2,7,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[4,7,3,6,2,1,8,5] => [2,6,7,4,8,3,1,5] => [7,2,4,8,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,4,3,7,1,8,2,6] => [7,8,4,5,3,2,1,6] => [5,4,8,7,1,2,6,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,3,8,5,1,4,2,6] => [5,4,8,3,7,2,1,6] => [5,8,4,1,7,2,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,4,8,7,6,2,1,3] => [2,6,1,5,4,7,8,3] => [5,2,1,8,3,6,7,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,5,4,8,3,7,6,2] => [1,6,7,5,4,8,2,3] => [1,7,5,8,2,6,4,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,8,3,6,7,1,5,2] => [7,5,8,4,1,3,6,2] => [5,7,4,8,3,1,2,6] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[6,8,2,1,7,4,5,3] => [2,8,5,7,4,6,1,3] => [5,2,7,6,1,8,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[3,1,2,7,5,6,8,4] => [3,1,2,8,7,5,6,4] => [3,1,2,7,8,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[3,6,1,2,7,5,8,4] => [6,1,3,8,7,2,5,4] => [3,1,8,6,7,5,2,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[8,5,2,3,6,7,4,1] => [4,7,1,5,8,3,6,2] => [8,4,2,7,5,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,6,3,8,1,5] => [8,7,6,4,1,2,3,5] => [4,6,7,8,3,5,2,1] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[6,3,2,4,8,7,5,1] => [5,3,7,1,6,4,8,2] => [5,8,3,2,6,1,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,7,2,4,6,1,8,5] => [6,7,3,2,8,4,1,5] => [7,3,8,1,6,4,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,3,7,2,8,1,4,6] => [8,7,5,1,3,4,2,6] => [5,7,8,3,2,1,6,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,3,2,8,7,5,1,4] => [5,3,7,2,6,1,8,4] => [5,8,3,1,6,4,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,5,4,8,1,7,6,3] => [8,2,6,5,4,7,1,3] => [2,5,6,8,1,7,4,3] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[6,2,1,3,8,7,5,4] => [2,6,1,5,7,3,8,4] => [6,2,1,8,5,4,7,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,6,1,8,7,5,2,4] => [6,5,3,2,7,1,8,4] => [3,6,8,1,5,4,7,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[7,8,5,1,6,2,4,3] => [5,8,4,1,6,2,7,3] => [5,4,7,3,6,2,8,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[11,9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,11,1,10] => [11,2,3,4,5,6,7,8,9,1,10] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[7,6,4,3,2,8,5,1] => [5,3,4,8,6,7,1,2] => [3,8,5,4,6,7,2,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,8,2,5,6] => [3,7,8,2,1,5,4,6] => [8,7,3,1,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,2,5,8,3,6] => [4,1,7,8,3,2,5,6] => [8,1,7,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,2,5,1,3,8] => [5,4,1,7,2,6,3,8] => [5,6,2,4,3,7,1,8] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[5,7,2,4,6,8,1,3] => [8,7,1,2,5,4,6,3] => [5,7,2,3,8,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,7,4,6,3,1,8,2] => [3,6,8,7,5,4,2,1] => [7,5,3,6,8,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,6,4,2,3,7,5,1] => [5,4,1,7,6,8,3,2] => [5,8,2,4,7,6,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,4,2,7,3,1,6,8] => [3,7,4,5,1,2,6,8] => [7,3,4,5,2,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,5,1,2,7,6,8,3] => [5,1,8,4,2,7,6,3] => [5,1,4,7,3,8,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,6,1,3,8,5,2,7] => [6,5,1,4,8,3,2,7] => [4,6,2,8,5,1,3,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,3,8,4,5,7,2,6] => [1,7,3,8,4,2,5,6] => [1,3,8,7,2,5,6,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,7,4,2,8,5,6] => [1,4,3,7,8,5,2,6] => [1,3,8,4,7,2,6,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,6,1,3,7,2,5,8] => [6,7,1,4,2,3,5,8] => [6,4,2,7,3,5,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[3,4,2,6,8,7,1,5] => [7,4,3,2,1,6,8,5] => [3,4,6,1,2,8,7,5] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[8,4,2,3,6,5,7,1] => [7,4,2,8,6,3,5,1] => [6,7,1,4,8,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[7,4,2,5,8,1,6,3] => [8,4,7,6,3,1,5,2] => [4,8,6,7,1,5,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,7,8,3,4,5,1,6] => [5,2,8,3,4,1,7,6] => [2,7,5,1,3,4,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,6,5,2,7,4,8] => [3,5,1,6,7,4,2,8] => [7,3,2,6,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,4,6,2,8,5,7,1] => [7,6,3,4,8,2,5,1] => [3,4,7,8,6,2,1,5] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[4,3,7,1,6,8,5,2] => [7,5,4,3,8,1,6,2] => [4,7,8,1,5,3,2,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[3,2,4,8,6,7,1,5] => [7,3,2,4,1,8,6,5] => [3,4,1,8,2,7,5,6] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[4,1,6,7,5,8,2,3] => [4,8,2,1,7,6,5,3] => [6,4,1,3,7,8,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[4,3,7,5,6,8,2,1] => [2,8,4,3,7,5,6,1] => [4,2,7,1,8,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[4,1,7,3,6,5,2,8] => [4,5,6,1,7,2,3,8] => [7,6,4,3,5,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,8,7,4,5,3,1,6] => [3,2,5,7,4,1,8,6] => [2,8,3,5,1,4,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,1,4,2,6,5,7] => [8,4,3,1,6,2,5,7] => [3,4,6,2,8,5,1,7] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[4,1,7,3,6,2,5,8] => [4,6,7,1,2,3,5,8] => [7,6,4,3,2,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,8,7,6,1,2,4,3] => [6,1,4,2,5,7,8,3] => [4,1,5,3,8,6,7,2] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[4,1,7,2,6,8,5,3] => [4,7,5,1,8,2,6,3] => [8,4,7,3,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,3,6,1,8,5] => [6,4,7,2,8,3,1,5] => [7,8,4,2,6,3,5,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,8,2,4,5,6,7,1] => [7,8,3,2,4,5,6,1] => [7,3,8,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,2,4,1,6,7,5] => [4,8,3,2,7,1,6,5] => [4,3,7,1,8,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[2,8,6,5,3,7,1,4] => [7,2,5,1,6,8,3,4] => [2,5,8,3,7,6,4,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[3,8,2,5,4,6,7,1] => [7,8,3,5,2,4,6,1] => [5,3,7,8,2,1,4,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,2,7,5,6,3,8,1] => [8,4,6,2,7,5,3,1] => [4,8,6,2,7,1,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,5,6,1,8,3] => [6,4,8,2,7,5,1,3] => [6,8,4,2,7,1,5,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,2,6,1,4,5,8,7] => [6,3,2,1,4,5,8,7] => [3,6,1,2,4,5,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[4,1,7,5,6,2,3,8] => [4,6,2,1,7,5,3,8] => [7,4,1,3,6,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,8,1,5,2,6,4,7] => [8,5,3,6,1,2,4,7] => [3,5,8,6,4,2,1,7] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[2,8,7,5,3,4,1,6] => [4,2,5,3,7,1,8,6] => [2,8,4,1,5,3,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,7,6,4,1,2,3] => [4,1,2,6,5,7,8,3] => [5,1,2,4,8,6,7,3] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,4,2,3,7,6,8,1] => [8,4,2,5,3,7,6,1] => [4,7,1,5,2,8,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[7,4,6,2,3,5,8,1] => [8,6,2,7,3,4,5,1] => [6,8,1,7,3,4,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,5,7,1,2,6,8,3] => [7,1,8,4,5,2,6,3] => [5,1,4,7,8,3,2,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[5,4,1,7,3,6,8,2] => [4,5,8,7,2,1,6,3] => [8,7,4,5,2,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,3,4,8,5,2] => [6,5,2,3,7,8,4,1] => [7,8,1,2,5,6,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,3,6,5,2,1,7] => [2,5,6,4,8,1,3,7] => [6,2,4,8,5,3,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,8,7,2,3,5,4,6] => [1,7,2,5,3,4,8,6] => [1,5,2,8,4,3,7,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,8,7,2,5,3,4,6] => [1,7,5,3,2,4,8,6] => [1,5,8,2,4,3,7,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,7,5,2,8,1,4,3] => [8,5,4,1,7,6,2,3] => [4,5,7,3,6,8,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[7,5,6,1,2,8,4,3] => [6,1,4,8,7,5,2,3] => [6,1,8,4,7,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,1,3,7,8,6,2,5] => [4,6,1,3,2,8,7,5] => [7,4,2,1,3,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,1,4,3,6,8,7,2] => [5,7,4,1,3,6,8,2] => [5,4,6,3,1,8,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[4,5,7,6,8,2,1,3] => [2,8,1,4,5,7,6,3] => [4,2,1,5,7,8,3,6] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[5,7,6,8,4,2,1,3] => [2,4,1,8,5,7,6,3] => [5,2,1,4,7,8,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[5,1,6,8,4,2,7,3] => [5,4,8,7,1,6,3,2] => [6,7,4,5,3,8,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[7,6,8,3,2,5,4,1] => [4,3,5,8,1,7,6,2] => [5,7,3,4,2,8,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[8,7,1,3,5,4,6,2] => [7,6,1,5,3,4,8,2] => [5,6,2,8,3,1,7,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[7,6,8,3,1,4,5,2] => [3,8,5,2,4,7,6,1] => [7,3,5,1,2,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,8,2,6,3,1,4,7] => [3,6,8,2,5,1,4,7] => [6,5,3,1,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,1,3,6,2,5,4,7] => [8,6,1,5,2,3,4,7] => [5,6,2,8,4,3,1,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[8,1,3,5,4,2,6,7] => [8,4,1,5,3,2,6,7] => [4,8,2,5,1,3,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,5,6,2,3,7,4] => [8,6,2,7,1,5,3,4] => [6,8,1,7,4,2,5,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,3,1,4,5,2,6,8] => [3,7,5,2,4,1,6,8] => [7,3,5,1,2,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,7,1,4,5,2,6,8] => [7,5,3,1,4,2,6,8] => [3,5,7,2,1,4,6,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[3,5,2,4,1,6,7,8] => [4,5,3,2,1,6,7,8] => [4,3,5,1,2,6,7,8] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[2,6,4,1,5,3,7,8] => [4,2,6,5,3,1,7,8] => [2,6,4,5,1,3,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[6,2,5,1,3,7,4,8] => [5,6,1,7,2,3,4,8] => [7,6,2,5,4,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,5,2,1,3,7,4,8] => [2,5,1,6,7,4,3,8] => [7,2,1,6,5,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,7,1,5,3,2,6,8] => [7,3,5,4,1,2,6,8] => [3,5,4,7,2,1,6,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[5,7,1,6,2,3,8,4] => [7,6,2,8,5,1,3,4] => [6,7,1,5,8,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[4,2,5,3,1,6,7,8] => [3,5,4,1,2,6,7,8] => [5,3,4,2,1,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[6,5,1,8,7,3,4,2] => [5,4,6,1,7,3,8,2] => [6,8,4,3,5,1,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,8,5,2,3,4,1,7] => [4,5,2,3,8,6,1,7] => [6,4,1,2,5,8,3,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[8,5,6,2,7,1,4,3] => [7,6,4,1,8,5,2,3] => [4,7,8,3,6,1,5,2] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[5,7,6,4,1,3,8,2] => [4,6,1,7,5,8,3,2] => [7,5,2,4,8,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,1,7,5,3,8,4,2] => [6,4,8,5,7,1,2,3] => [5,8,4,7,6,3,2,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,2,7,1,6,4,3] => [7,5,4,8,6,1,3,2] => [5,6,8,4,7,3,1,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[3,4,6,1,7,8,5,2] => [6,5,3,4,8,1,7,2] => [3,4,6,7,5,2,8,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[3,4,8,6,7,1,5,2] => [7,5,3,4,1,8,6,2] => [3,4,5,8,2,7,1,6] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[8,1,7,2,5,6,3,4] => [8,7,6,3,2,5,1,4] => [6,7,8,1,3,2,5,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[4,8,1,5,2,6,7,3] => [8,5,7,4,1,2,6,3] => [4,7,5,8,3,2,1,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[3,7,8,5,1,6,2,4] => [5,8,3,1,6,2,7,4] => [5,3,7,2,6,4,8,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[6,5,2,7,8,1,4,3] => [8,5,4,1,6,2,7,3] => [4,5,7,3,6,2,8,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[7,1,2,8,5,6,3,4] => [7,1,6,3,8,5,2,4] => [7,1,8,2,6,3,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,7,2,1,5,6,3,4] => [2,7,6,3,1,5,8,4] => [6,2,8,1,4,3,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,6,7,1,5,2,3,4] => [7,5,2,3,1,8,6,4] => [5,8,1,2,4,7,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,1,8,4,3] => [2,6,4,8,7,5,1,3] => [6,2,8,4,7,1,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,5,2,1,6,4,3] => [2,5,4,7,6,3,8,1] => [5,2,8,4,6,1,7,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,1,3,5,8,6,2,4] => [7,6,1,2,3,8,5,4] => [7,8,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,3,4,6,8,7,2] => [5,7,1,3,4,6,8,2] => [6,5,2,1,3,8,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,5,3,6,8,2,7,1] => [7,8,5,4,3,6,2,1] => [5,4,6,7,1,8,2,3] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[4,6,7,8,5,1,3,2] => [5,3,1,4,8,6,7,2] => [3,4,2,6,5,7,8,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[4,6,8,1,5,3,7,2] => [8,7,5,4,1,6,3,2] => [4,5,6,7,3,8,1,2] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[6,5,8,1,3,4,7,2] => [8,7,1,3,6,5,4,2] => [6,7,2,1,8,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[6,1,8,3,5,2,7,4] => [6,5,8,7,3,1,2,4] => [7,8,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,8,3,5,2,1,4] => [2,5,8,1,3,7,6,4] => [7,2,5,3,4,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,6,1,3,5,2,7,4] => [6,5,1,8,4,7,2,3] => [6,8,2,5,1,7,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,7,8,3,5,1,2,4] => [5,1,8,2,3,6,7,4] => [6,1,5,3,4,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[3,4,8,1,2,6,7,5] => [8,1,3,4,7,2,6,5] => [3,1,4,7,8,5,2,6] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[6,8,2,3,5,1,7,4] => [5,8,2,7,3,6,1,4] => [7,5,1,6,3,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,8,2,3,5,6,1,4] => [6,8,2,1,3,5,7,4] => [7,6,1,3,4,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,4,8,6,1,3,7,5] => [6,2,1,4,8,7,5,3] => [2,4,1,8,6,7,3,5] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,7,3,8,1,6,4,5] => [8,2,7,6,4,1,3,5] => [2,6,7,8,1,5,4,3] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[2,6,5,4,1,3,8,7] => [4,2,1,5,6,3,8,7] => [2,6,1,4,5,3,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,8,2,5,7,6,3,1] => [3,6,7,4,2,8,5,1] => [7,4,3,8,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,4,6,5,1,8,2,7] => [5,6,3,4,8,2,1,7] => [4,3,6,8,5,1,2,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[2,6,5,3,4,1,8,7] => [4,2,5,3,6,1,8,7] => [2,6,4,1,5,3,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,6,1,5,2,3,8,7] => [6,5,2,4,1,3,8,7] => [4,5,1,6,3,2,8,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[6,2,3,5,1,4,8,7] => [5,6,2,1,3,4,8,7] => [6,5,1,3,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,6,7,5,1,8,4,3] => [5,2,4,7,8,6,3,1] => [2,6,7,4,5,8,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[8,6,1,2,5,3,4,7] => [6,1,5,3,2,8,4,7] => [5,1,8,2,4,6,3,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,2,5,1,8,3,4,7] => [5,6,8,3,2,1,4,7] => [8,6,5,1,3,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,2,8,3,4,1] => [4,5,6,3,7,8,2,1] => [8,7,4,1,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,8,7,6,3,5] => [2,1,6,4,3,7,8,5] => [2,1,4,8,3,6,7,5] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[8,1,3,5,7,4,6,2] => [8,6,1,7,3,4,5,2] => [6,8,2,7,3,4,1,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,2,8,7,5,1,6,4] => [5,3,2,7,6,4,8,1] => [3,8,1,5,6,2,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,8,6,1,3,5,2,4] => [6,5,1,2,3,8,7,4] => [5,7,2,3,4,6,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,6,7,2,8,1,3,4] => [8,7,1,3,5,6,2,4] => [5,6,2,1,7,8,4,3] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[2,5,1,8,6,7,4,3] => [5,2,4,7,1,8,6,3] => [2,5,8,4,3,7,1,6] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,2,3,8,6,7,4,1] => [4,7,1,5,3,8,6,2] => [8,4,2,5,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,4,6,7,1,2] => [7,1,8,5,3,4,6,2] => [7,1,5,8,3,2,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,6,3,2,8,1,4,7] => [8,3,6,1,5,2,4,7] => [3,6,5,2,8,4,1,7] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[8,7,6,2,5,3,1,4] => [3,5,6,2,1,7,8,4] => [8,5,3,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,8,5,1,4,3] => [5,8,4,2,6,7,1,3] => [5,4,8,2,6,7,3,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,1,3,7,5,2,6,4] => [8,5,1,7,6,4,3,2] => [5,8,2,6,7,1,3,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,4,8,7,5,1,6,2] => [5,7,3,4,6,2,8,1] => [4,3,5,8,6,1,7,2] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[6,3,8,5,7,4,1,2] => [4,1,7,6,8,2,5,3] => [8,1,4,7,6,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,8,7,5,6,3] => [2,1,6,4,7,5,8,3] => [2,1,4,8,6,3,7,5] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[3,6,8,2,4,1,7,5] => [4,8,3,2,7,6,1,5] => [4,3,6,1,7,8,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[4,5,8,2,6,7,3,1] => [3,7,8,4,5,1,6,2] => [5,4,3,7,8,2,1,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[5,2,8,1,6,7,3,4] => [8,5,7,3,2,1,6,4] => [5,8,7,1,3,4,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,2,8,1,6,7,3,5] => [8,4,7,2,3,1,6,5] => [4,8,7,2,1,5,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,4,8,7,2,1,5,6] => [2,7,3,4,1,5,8,6] => [3,2,4,8,1,5,7,6] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[7,8,5,3,6,4,2,1] => [2,4,6,5,8,1,7,3] => [7,2,4,6,5,3,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,8,1,4,6,7,2,5] => [8,7,3,1,2,4,6,5] => [3,7,8,2,4,5,1,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[8,4,2,6,5,3,1,7] => [3,5,4,6,8,2,1,7] => [8,3,6,4,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,5,3,1,6,8] => [3,5,4,7,1,2,6,8] => [7,3,5,4,2,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,3,6,2,5,4,1,7] => [4,5,6,8,3,1,2,7] => [8,6,5,4,1,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,2,8,4,7,6] => [1,3,5,8,2,7,4,6] => [1,7,3,5,4,8,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,8,7,3,5,1,4,6] => [5,2,7,1,3,4,8,6] => [2,8,5,3,4,1,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,7,3,8,5,4] => [6,1,7,5,8,2,3,4] => [7,1,6,8,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,1,4,3,8,2,7,5] => [6,8,4,1,7,3,2,5] => [6,4,8,3,7,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,1,6,8,5,4,7,3] => [2,1,7,5,8,6,4,3] => [2,1,6,7,5,8,3,4] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[6,1,5,7,8,2,4,3] => [6,8,4,2,1,5,7,3] => [6,4,7,2,3,1,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[8,3,1,6,7,2,5,4] => [3,8,7,5,1,2,6,4] => [7,3,5,8,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,6,1,2,5,3,8] => [6,1,5,4,2,7,3,8] => [4,1,5,7,3,6,2,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[7,3,6,1,2,5,4,8] => [6,1,7,5,2,3,4,8] => [6,1,5,7,4,3,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[5,4,7,1,3,2,6,8] => [7,3,1,5,4,2,6,8] => [3,5,2,7,1,4,6,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,2,6,3,8,5,7,4] => [1,2,6,7,8,3,5,4] => [1,2,8,7,6,5,3,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,6,8,4,7,3] => [1,5,7,8,2,6,4,3] => [1,7,6,5,4,8,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,3,8,1,4,6] => [8,7,2,1,5,4,3,6] => [5,7,1,3,8,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[6,4,7,5,8,1,2,3] => [8,1,2,6,7,4,5,3] => [6,1,2,8,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,4,8,5,1,6,3,2] => [5,3,8,6,7,2,1,4] => [5,8,3,7,6,2,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,6,4,8,7,5,3,2] => [1,3,5,7,6,2,8,4] => [1,8,3,5,6,4,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,8,4,7,5] => [3,1,6,8,7,2,4,5] => [8,1,3,6,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,1,2,7,5,3] => [4,1,8,5,7,6,3,2] => [7,1,4,5,6,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,5,8,1,2,6,4,3] => [8,1,4,6,7,2,5,3] => [4,1,8,6,7,5,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,4,8,1,6,3,5,2] => [8,5,6,7,3,1,4,2] => [5,8,7,6,2,4,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,3,8,7,6,2,5,4] => [1,6,3,5,2,7,8,4] => [1,3,5,8,4,6,7,2] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[5,8,4,1,7,6,2,3] => [4,8,1,6,5,7,2,3] => [6,4,2,5,8,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,6,1,7,5,4,3,2] => [6,3,4,5,8,7,2,1] => [3,8,4,6,5,7,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,8,7,3,6,4,2] => [5,4,6,7,1,2,8,3] => [6,8,5,4,3,2,7,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,1,8,7,6,5,2,4] => [3,5,1,2,6,7,8,4] => [8,3,2,1,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,5,2,3,7,8] => [1,5,2,6,4,3,7,8] => [1,6,2,5,3,4,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,7,4,5,2,3,6,8] => [1,5,2,7,4,3,6,8] => [1,7,2,5,3,4,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,3,4,2,5,6,8] => [1,4,7,3,2,5,6,8] => [1,7,4,2,3,5,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,8,6,7,3,4,2,5] => [1,4,7,3,2,8,6,5] => [1,8,4,2,3,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,4,2,6,5,8] => [1,4,7,3,6,2,5,8] => [1,6,4,2,7,5,3,8] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,5,2,8,4,7,3,6] => [1,5,7,8,2,3,4,6] => [1,8,7,5,4,3,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,8,5,7,3,6] => [1,4,7,2,8,3,5,6] => [1,8,4,3,7,5,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,5,2,6,4,8] => [1,5,7,6,3,2,4,8] => [1,7,5,6,3,4,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,8,4,7,3,5,2,6] => [1,5,7,8,3,2,4,6] => [1,8,7,5,3,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,2,4,5,8] => [1,6,7,2,4,3,5,8] => [1,7,6,3,2,5,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,8,5,6,2,3,4,7] => [1,6,2,3,8,5,4,7] => [1,8,2,3,6,4,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,6,2,4,3,7] => [1,6,4,2,8,5,3,7] => [1,4,8,3,6,2,5,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,3,2,8,5,6,4,7] => [1,3,2,6,8,5,4,7] => [1,3,2,8,6,4,5,7] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,4,2,8,5,6,3,7] => [1,4,6,2,8,5,3,7] => [1,8,4,3,6,2,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,6,7,8,9,10,11,12,1,2] => [12,1,3,4,5,6,7,8,9,10,11,2] => [3,1,4,5,6,7,8,9,10,11,12,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[8,6,4,7,2,1,3,5] => [2,7,1,6,3,8,4,5] => [7,2,1,8,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,6,4,7,2,8,3,5] => [1,7,8,6,3,4,2,5] => [1,7,6,8,3,4,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,4,6,2,3,5,1,7] => [5,6,2,8,3,4,1,7] => [8,6,1,5,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,2,3,6,1,7] => [6,8,2,5,4,3,1,7] => [6,5,1,8,2,3,4,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,6,2,3,5,1,7] => [5,6,2,4,3,8,1,7] => [5,4,1,8,2,6,3,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,7,6,4,8,2,3,5] => [1,8,2,6,3,7,4,5] => [1,6,2,8,4,7,5,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,8,3,7,2,1,4,5] => [2,7,8,1,4,6,3,5] => [7,2,6,3,1,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,1,3,7,4,8,2,5] => [6,8,1,7,2,3,4,5] => [8,6,2,7,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,8,2,3,4,7] => [6,8,2,3,1,5,4,7] => [8,6,1,2,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,3,8,2,4,6] => [5,8,7,2,1,4,3,6] => [8,5,7,2,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,7,8,2,3,4] => [6,8,2,3,1,5,7,4] => [7,6,1,2,4,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,8,7,5,1,2,4,6] => [5,1,3,2,7,4,8,6] => [3,1,8,2,5,4,7,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,8,2,3,4,7] => [1,8,2,3,6,5,4,7] => [1,6,2,3,8,4,5,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[8,5,7,4,1,2,3,6] => [4,1,2,7,8,3,5,6] => [8,1,2,4,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,4,8,2,3,6] => [1,8,2,7,5,3,4,6] => [1,5,2,7,8,4,6,3] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[7,6,4,8,2,1,3,5] => [2,8,1,6,3,7,4,5] => [6,2,1,8,4,7,5,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,6,4,1,2,7,3,5] => [4,1,6,8,3,7,2,5] => [8,1,6,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,8,6,3,4,5] => [1,7,6,3,4,8,2,5] => [1,7,8,2,3,6,5,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,5,8,1,3,6,2,4] => [8,6,1,2,7,3,5,4] => [6,8,2,3,7,5,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,4,1,8,2,3,6,7] => [4,5,1,8,2,3,6,7] => [8,5,2,4,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,7,2,3,5,6] => [1,7,2,4,3,5,8,6] => [1,4,2,8,3,5,7,6] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,5,8,7,2,3,4,6] => [1,7,2,3,5,4,8,6] => [1,5,2,3,8,4,7,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[5,7,1,3,8,2,4,6] => [7,8,1,2,5,4,3,6] => [7,5,2,3,8,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,1,8,7,2,3,5,6] => [4,7,2,1,3,5,8,6] => [8,4,1,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,7,2,3,4,6] => [5,7,2,3,1,4,8,6] => [8,5,1,2,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,3,6,5,4,2] => [1,4,5,6,7,3,8,2] => [1,8,6,4,5,2,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,8,3,4,2,6] => [7,4,8,3,1,2,5,6] => [7,8,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,4,3,2,5,6,8] => [7,3,4,1,2,5,6,8] => [3,7,4,2,1,5,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[2,4,1,7,5,8,3,6] => [4,2,8,1,7,3,5,6] => [2,7,4,3,8,5,6,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,1,4,6,5,2,8,3] => [7,5,6,1,8,4,3,2] => [6,8,7,3,5,1,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,4,7,1,6,8,2,5] => [7,8,3,4,2,1,6,5] => [4,3,7,8,1,5,2,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[3,4,7,1,6,8,5,2] => [7,5,3,4,8,1,6,2] => [3,4,7,8,5,2,1,6] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[6,4,2,3,8,5,1,7] => [5,4,1,8,6,3,2,7] => [5,8,2,4,6,1,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,4,2,7,5,3,1,8] => [3,5,4,7,6,2,1,8] => [7,3,5,4,6,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,8,3,1,2,6,5,7] => [3,1,8,4,6,2,5,7] => [4,1,3,6,8,5,2,7] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[3,4,7,2,6,5,8,1] => [8,7,3,4,6,2,5,1] => [3,4,6,7,8,2,1,5] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[4,8,3,1,2,6,7,5] => [3,1,8,4,7,2,6,5] => [4,1,3,7,8,5,2,6] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[6,8,5,1,3,4,7,2] => [5,8,2,3,7,6,4,1] => [7,5,1,2,6,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,8,3,4,2,6,7,1] => [7,4,8,3,5,2,6,1] => [5,7,4,1,8,2,3,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,4,7,3,6,2,8,1] => [8,6,7,5,4,3,2,1] => [5,7,6,8,1,2,3,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[5,4,7,2,6,1,8,3] => [6,7,8,5,4,2,1,3] => [7,6,5,8,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,2,4,3,1,5,8,7] => [3,4,6,1,2,5,8,7] => [6,4,3,2,1,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,8,7,4,3,1,2,6] => [3,1,4,7,5,2,8,6] => [5,1,3,4,8,2,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,4,7,3,6,2,1,8] => [2,6,7,5,4,3,1,8] => [6,2,5,7,1,3,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[6,5,2,8,4,3,1,7] => [3,4,8,5,6,2,1,7] => [8,4,3,5,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,5,1,6,2] => [5,7,4,3,6,2,8,1] => [5,4,8,1,6,2,7,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,4,3,7,5,2,6,1] => [6,5,4,7,8,3,2,1] => [6,7,8,4,5,1,2,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[4,3,7,8,5,1,2,6] => [5,1,4,3,8,2,7,6] => [4,1,7,2,5,3,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,2,4,8,3,1,5,7] => [3,8,6,1,2,4,5,7] => [8,3,6,2,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,8,6,4,1,7] => [4,3,6,5,1,8,2,7] => [4,8,3,5,2,6,1,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,8,4,2,1,6] => [2,4,8,5,7,3,1,6] => [8,2,4,5,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,3,8,2,6,1] => [6,8,4,5,7,2,3,1] => [5,4,8,7,6,2,1,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,4,5,3,8,2,7,1] => [7,8,5,6,4,3,2,1] => [6,5,8,7,1,2,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,5,6,3,8,2,4,1] => [4,8,6,2,7,5,3,1] => [8,4,6,2,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,3,5,2,8,1] => [8,5,6,7,3,4,2,1] => [5,8,7,6,2,1,3,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,7,3,4,2,6,1] => [6,4,7,3,8,2,5,1] => [7,8,4,1,6,3,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,5,8,4,3,2,6,1] => [6,3,4,8,7,2,5,1] => [3,8,6,4,7,2,1,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,8,3,4,2,7,1] => [7,4,8,3,6,5,2,1] => [6,7,4,1,8,2,3,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[7,5,8,3,4,2,6,1] => [6,4,8,3,7,2,5,1] => [6,8,4,1,7,3,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,5,8,4,6,2,3,1] => [3,6,2,8,7,4,5,1] => [8,3,1,6,7,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,3,5,2,6,1] => [6,5,8,7,3,2,4,1] => [7,8,5,6,2,3,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,4,8,3,5,2,7,1] => [7,5,8,6,3,4,2,1] => [6,8,5,7,2,1,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,5,8,4,7,2,3,1] => [3,7,2,8,6,5,4,1] => [7,3,1,6,8,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,4,7,3,8,2,6,1] => [6,8,7,5,4,2,3,1] => [7,5,6,8,1,3,2,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,4,6,3,8,2,7,1] => [7,8,6,5,4,3,2,1] => [6,5,7,8,1,2,3,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,3,1,5,6,8,7,2] => [3,4,7,2,5,6,8,1] => [5,4,3,1,6,8,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[4,2,1,5,8,6,3,7] => [2,4,6,1,5,8,3,7] => [5,2,4,3,8,6,1,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,3,7,1,4,8,2,6] => [7,8,5,1,3,2,4,6] => [7,5,8,3,2,4,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,3,1,5,7,8,2,6] => [3,4,8,2,5,1,7,6] => [5,4,3,1,7,2,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[3,2,1,8,5,7,4,6] => [2,3,1,7,8,4,5,6] => [3,2,1,8,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[6,7,2,1,8,4,3,5] => [2,7,4,8,3,6,1,5] => [6,2,7,4,1,8,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[3,2,1,8,5,6,4,7] => [2,3,1,6,8,5,4,7] => [3,2,1,8,6,4,5,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,2,1,8,6,5,4,7] => [2,3,1,5,6,8,4,7] => [3,2,1,8,5,6,4,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[5,2,6,1,8,3,4,7] => [6,5,8,3,2,1,4,7] => [6,8,5,1,3,4,2,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,7,3,1,5,8,2,4] => [3,7,8,1,2,6,5,4] => [7,6,3,2,4,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,2,1,8,6,4,7,5] => [2,3,1,6,8,7,5,4] => [3,2,1,8,6,7,4,5] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,2,1,8,6,4,5,7] => [2,3,1,6,4,8,5,7] => [3,2,1,8,4,6,5,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,2,1,8,4,6,5,7] => [2,3,1,8,6,4,5,7] => [3,2,1,6,8,5,4,7] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[3,2,1,8,4,6,7,5] => [2,3,1,8,7,4,6,5] => [3,2,1,7,8,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[3,2,1,8,4,7,6,5] => [2,3,1,8,6,7,4,5] => [3,2,1,6,8,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[3,2,1,8,7,4,6,5] => [2,3,1,7,6,4,8,5] => [3,2,1,6,8,5,7,4] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[4,2,1,7,8,3,6,5] => [2,4,8,1,6,3,7,5] => [6,2,4,3,7,5,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,2,7,1,8,3,4,6] => [7,5,8,3,2,4,1,6] => [7,8,5,1,3,2,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,2,1,7,8,3,5,6] => [2,4,8,1,3,5,7,6] => [7,2,4,3,1,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,4,8,6,2,5,3,1] => [3,5,6,8,4,7,1,2] => [8,6,3,5,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,2,4,6,1] => [6,5,8,3,7,4,2,1] => [7,8,5,1,6,2,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,8,4,5,6,2,1] => [2,6,7,8,4,5,3,1] => [8,2,7,6,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,8,2,4,1,5] => [4,8,6,2,1,3,7,5] => [7,4,6,2,3,5,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,6,7,3,8,2,4,1] => [4,8,7,2,5,6,3,1] => [6,4,5,2,7,8,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,7,4,2,6,8,1,3] => [8,4,1,7,5,2,6,3] => [4,7,2,5,8,3,1,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,5,3,1,4,2,7,8] => [3,5,4,2,6,1,7,8] => [6,3,4,1,5,2,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,6,4,2,3,8,1,7] => [8,4,2,6,5,3,1,7] => [4,6,1,5,8,2,3,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[6,3,7,2,4,5,1,8] => [5,7,6,2,4,3,1,8] => [7,5,6,2,1,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,3,7,2,5,8,4,1] => [4,8,7,6,3,1,5,2] => [8,4,6,7,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,6,4,2,1,7] => [2,4,3,6,5,8,1,7] => [3,2,5,4,8,6,1,7] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[6,3,4,2,1,5,8,7] => [2,4,6,3,1,5,8,7] => [6,2,4,1,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,8,6,3,5,4,1,7] => [4,2,5,6,1,8,3,7] => [2,8,5,4,3,6,1,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,6,4,2,1,3,7] => [2,4,1,6,5,8,3,7] => [5,2,1,4,8,6,3,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,2,1,5,7,8,6,3] => [2,4,6,1,5,8,7,3] => [5,2,4,3,7,6,8,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[2,7,8,6,3,5,4,1] => [4,2,5,6,1,8,7,3] => [2,7,5,4,3,6,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,1,8,5,6,4,3,7] => [2,1,4,6,8,5,3,7] => [2,1,8,4,6,3,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,1,8,5,6,3,7] => [2,4,6,1,8,5,3,7] => [8,2,4,3,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,1,5,6,3,7] => [2,4,8,6,3,5,1,7] => [8,2,4,6,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,3,8,4,1,7] => [4,2,8,6,5,1,3,7] => [2,6,4,5,8,3,1,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[6,3,4,2,1,8,5,7] => [2,4,6,3,8,1,5,7] => [8,2,4,1,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,5,6,4,2,1] => [2,4,3,6,8,5,7,1] => [3,2,7,4,6,1,8,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[3,6,4,2,1,8,5,7] => [2,4,3,6,8,1,5,7] => [3,2,8,4,6,5,1,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,8,6,4,2,1,5,7] => [2,4,3,6,1,8,5,7] => [3,2,8,4,1,6,5,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,7,8,6,4,2,1,5] => [2,4,3,6,1,8,7,5] => [3,2,7,4,1,6,8,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[7,6,2,4,1,8,5,3] => [4,6,5,3,7,8,1,2] => [8,4,7,1,5,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,7,6,2,3] => [4,5,2,8,6,7,1,3] => [8,5,1,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,6,4,3,5] => [2,1,4,6,3,8,7,5] => [2,1,7,4,3,6,8,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[2,1,6,4,3,7,8,5] => [2,1,4,6,8,3,7,5] => [2,1,7,4,6,5,8,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[2,6,1,8,4,3,7,5] => [6,2,4,8,7,1,3,5] => [2,6,8,4,7,5,3,1] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,6,1,7,5,8,4,3] => [6,2,4,8,7,1,5,3] => [2,6,8,4,7,5,1,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,4,2,3,7,5,6,1] => [6,4,2,8,7,5,3,1] => [6,8,1,4,7,2,3,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,5,7,6,2,1,4,3] => [2,6,4,1,7,8,3,5] => [4,2,8,3,7,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,8,5,7,6,2,1,3] => [2,6,1,4,7,8,3,5] => [4,2,1,8,7,6,5,3] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,7,6,2,1,3,8,5] => [2,6,1,4,7,8,5,3] => [4,2,1,8,7,6,3,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[7,5,6,1,8,4,2,3] => [6,4,2,8,7,5,1,3] => [6,8,1,4,7,2,5,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,7,5,8,4,3,6,1] => [6,2,4,8,7,3,5,1] => [2,6,8,4,7,3,1,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,8,4,3,6,1,7,5] => [6,2,4,8,7,3,1,5] => [2,6,8,4,7,3,5,1] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,7,8,3,2,1,5] => [2,3,8,6,1,4,7,5] => [6,2,3,7,4,5,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[6,3,2,7,5,4,1,8] => [4,3,5,7,6,2,1,8] => [5,7,3,4,6,1,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,6,7,3,4,2,8,5] => [1,4,7,3,8,6,2,5] => [1,7,4,2,6,8,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,8,6,3,2,5,7,4] => [1,3,6,8,4,7,5,2] => [1,8,3,6,2,7,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,5,2,1,4,6,3] => [2,5,7,3,6,4,8,1] => [8,2,5,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,6,4,1,7,5] => [4,3,2,6,8,7,5,1] => [3,8,1,4,6,7,2,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,7,5,4,8,6] => [2,3,1,5,7,8,4,6] => [3,2,1,8,5,7,6,4] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[5,1,7,3,4,2,8,6] => [5,4,7,3,1,8,2,6] => [5,8,4,1,3,7,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,1,8,3,2,6,7,4] => [5,3,8,7,1,2,6,4] => [5,8,3,7,4,2,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,5,8,2,3,1,7,4] => [3,8,2,7,6,5,1,4] => [6,3,1,7,8,2,5,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,5,3,2,4,7,8,6] => [1,3,5,2,4,8,7,6] => [1,5,3,2,4,7,8,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[4,6,2,1,5,3,8,7] => [2,6,5,4,1,3,8,7] => [4,2,5,6,3,1,8,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[6,7,1,2,4,5,8,3] => [7,1,8,2,4,6,5,3] => [7,1,6,3,2,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,6,1,2,4,5,7,3] => [6,1,8,3,4,7,5,2] => [8,1,6,2,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,3,5,6,7,4] => [1,8,2,7,3,5,6,4] => [1,7,2,8,4,3,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,1,2,4,3,7,8,6] => [5,1,4,2,3,8,7,6] => [4,1,5,3,2,7,8,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,4,7,6,3,2,5,8] => [1,3,6,4,2,7,5,8] => [1,4,3,7,2,6,5,8] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[4,1,8,3,7,2,5,6] => [4,7,8,1,2,5,3,6] => [8,7,4,3,2,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,3,2,5,6] => [4,3,7,1,2,5,8,6] => [4,8,3,2,1,5,7,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,6,2,1,8,5] => [2,6,3,4,7,8,5,1] => [3,2,4,8,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[2,6,3,4,7,8,1,5] => [8,2,6,3,1,4,7,5] => [2,6,7,1,4,5,8,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[2,6,7,8,3,4,1,5] => [4,2,8,3,1,6,7,5] => [2,6,4,1,3,7,8,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[4,2,3,8,1,6,7,5] => [8,4,2,3,7,1,6,5] => [4,7,1,2,8,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,3,6,7,4,2,5,8] => [1,4,3,7,2,6,5,8] => [1,3,6,4,2,7,5,8] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[4,2,8,6,3,1,7,5] => [3,6,4,1,8,7,5,2] => [8,3,4,2,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,4,8,6,1,5] => [6,8,3,1,2,7,4,5] => [6,3,8,2,4,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,2,7,4,8,1,6,5] => [8,3,2,7,6,1,4,5] => [3,6,1,7,8,5,4,2] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[3,2,4,7,1,8,6,5] => [7,3,2,4,6,8,1,5] => [3,4,1,7,8,6,5,2] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[3,7,4,2,6,8,1,5] => [8,4,3,7,1,2,6,5] => [3,4,8,7,2,5,1,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,7,1,5,8,2,3,6] => [7,8,2,4,1,3,5,6] => [7,4,1,8,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,7,6,4,8,2,1,5] => [2,8,3,6,1,7,4,5] => [3,2,6,8,4,7,5,1] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[2,6,7,3,8,4,1,5] => [4,2,8,7,3,6,1,5] => [2,7,4,6,1,8,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,3,6,4,7,1,8,5] => [7,2,3,6,8,4,1,5] => [2,3,7,8,6,4,5,1] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[8,7,5,2,6,3,4,1] => [4,5,7,2,6,3,8,1] => [8,5,4,2,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,2,7,3,4,1] => [4,5,6,3,8,7,2,1] => [8,6,4,1,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,7,8,5,1,2] => [5,1,3,4,8,6,7,2] => [3,1,4,6,5,7,8,2] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[6,3,8,5,4,7,1,2] => [7,1,6,5,8,3,4,2] => [6,1,7,8,5,3,2,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,8,2,5,6,3,7,4] => [1,8,6,7,2,5,3,4] => [1,6,8,7,4,2,5,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,2,6,4,8,5,7,3] => [1,2,7,6,8,4,5,3] => [1,2,7,8,6,4,3,5] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[5,6,1,8,4,3,2,7] => [6,3,4,8,5,1,2,7] => [3,6,5,4,8,2,1,7] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[5,1,6,3,8,7,2,4] => [5,7,6,2,1,3,8,4] => [8,5,6,2,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,5,8,3,6,4] => [1,2,8,6,7,3,5,4] => [1,2,6,8,7,5,3,4] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,3,6,7,8,5,2,4] => [1,5,3,2,8,6,7,4] => [1,3,6,2,5,7,8,4] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[3,1,6,4,8,2,7,5] => [3,8,1,6,7,4,2,5] => [6,3,2,8,7,4,5,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,5,1,8,4,3,2,6] => [5,3,4,7,8,1,2,6] => [3,8,7,4,5,2,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,8,3,7,2,5] => [4,7,8,1,2,6,3,5] => [7,6,4,3,2,8,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,3,5,7,6,2,8,4] => [1,6,3,7,5,8,4,2] => [1,3,7,5,8,6,2,4] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,3,5,7,6,2,4,8] => [1,6,3,2,5,7,4,8] => [1,3,5,2,7,6,4,8] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,3,5,7,4,6,2,8] => [1,6,3,7,5,4,2,8] => [1,3,6,5,7,2,4,8] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,3,5,4,7,2,6,8] => [1,7,3,5,4,2,6,8] => [1,3,5,7,2,4,6,8] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,3,5,4,7,8,2,6] => [1,8,3,5,4,2,7,6] => [1,3,5,7,2,4,8,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,3,5,4,7,2,8,6] => [1,7,3,5,4,8,2,6] => [1,3,5,8,2,7,6,4] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,3,5,7,4,2,8,6] => [1,4,3,7,5,8,2,6] => [1,3,5,4,8,7,6,2] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,3,5,7,4,8,2,6] => [1,8,3,7,5,2,4,6] => [1,3,5,7,8,4,6,2] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,3,5,7,8,2,6,4] => [1,8,3,6,5,2,7,4] => [1,3,5,6,7,4,8,2] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,6,3,2,7,4,8,5] => [1,3,6,7,8,2,4,5] => [1,8,3,7,6,5,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,3,5,2,8,6] => [1,5,7,4,3,8,2,6] => [1,5,4,8,2,7,6,3] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,3,7,5,2,4,8,6] => [1,5,3,2,7,8,4,6] => [1,3,8,2,5,7,6,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,7,2,3,8,6,5] => [1,7,2,4,6,8,3,5] => [1,4,2,7,8,6,5,3] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,4,6,3,8,2,7,5] => [1,8,6,4,7,3,2,5] => [1,4,6,8,7,3,5,2] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,3,5,2,8,7,6,4] => [1,5,3,6,2,7,8,4] => [1,3,8,5,4,6,7,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,7,3,8,2,6,5] => [1,8,7,4,6,2,3,5] => [1,4,6,7,8,5,3,2] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[3,2,6,7,8,1,5,4] => [8,3,2,5,1,6,7,4] => [3,5,1,6,4,7,8,2] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,5,7,4,8,3,2,6] => [1,3,8,7,5,2,4,6] => [1,5,3,7,8,4,6,2] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[2,5,1,6,8,4,7,3] => [5,2,7,8,1,6,4,3] => [2,7,6,5,4,8,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,5,2,6,8,4,7,1] => [7,5,3,8,2,6,4,1] => [3,6,7,5,2,8,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[2,5,7,4,3,8,6,1] => [6,2,4,8,5,7,1,3] => [2,5,6,4,8,7,3,1] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,5,7,2,4,8,6,3] => [1,7,6,2,5,8,4,3] => [1,5,7,3,8,6,2,4] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,6,3,7,2,8,5,1] => [5,8,7,4,6,1,3,2] => [6,4,5,8,7,3,1,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,4,7,3,8,6,2,5] => [1,6,8,4,3,7,2,5] => [1,6,4,8,2,7,5,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,3,7,2,8,6,5,4] => [1,7,3,5,6,8,2,4] => [1,3,5,8,7,6,4,2] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[5,1,6,8,2,4,3,7] => [5,8,4,2,1,6,3,7] => [5,4,6,2,3,8,1,7] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[8,5,3,7,2,4,1,6] => [4,7,5,2,8,1,3,6] => [8,4,7,2,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,5,8,2,4,7] => [3,6,8,1,2,5,4,7] => [8,6,3,2,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,4,2,8,1,7] => [8,4,5,3,6,2,1,7] => [4,8,5,1,6,2,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,5,7,3,2,4,6] => [8,3,7,2,1,4,5,6] => [3,8,7,1,4,5,6,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,8,2,3,1,5] => [3,8,2,4,1,6,7,5] => [4,3,1,6,2,7,8,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[3,1,7,4,2,8,6,5] => [3,4,1,7,6,8,2,5] => [7,3,2,4,8,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,6,4,8,2,3,1,5] => [3,8,2,6,1,7,4,5] => [6,3,1,8,4,7,5,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,7,6,8,2,3,1,4] => [3,8,2,1,5,7,6,4] => [5,3,1,2,7,8,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[2,3,7,8,4,1,6,5] => [4,2,3,8,6,1,7,5] => [2,3,6,4,7,5,8,1] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[3,7,4,8,2,5,1,6] => [5,8,3,7,2,1,4,6] => [5,3,8,7,2,4,6,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,1,6,4,2,3,7,5] => [8,4,2,6,7,1,3,5] => [4,8,1,6,7,5,3,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,7,8,6,2,3,1,5] => [3,6,2,4,1,8,7,5] => [4,3,1,7,2,6,8,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[3,1,7,6,4,2,8,5] => [3,4,1,6,7,8,5,2] => [8,3,2,4,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,6,2,3,1,5] => [3,6,2,4,1,7,8,5] => [4,3,1,8,2,6,7,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,3,6,1,5,8,7,2] => [6,7,4,3,1,5,8,2] => [6,4,8,1,3,2,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,6,3,5,1,8,7,2] => [5,7,6,4,3,1,8,2] => [6,4,5,8,1,3,7,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,6,5,1,8,7,3,4] => [5,2,6,1,7,3,8,4] => [2,8,6,3,5,4,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,8,3,1,7,4] => [3,2,8,7,6,5,1,4] => [2,6,3,7,8,1,5,4] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[2,6,5,3,8,1,7,4] => [8,2,5,6,7,4,1,3] => [2,5,8,7,6,1,4,3] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,6,1,5,8,3,7,2] => [6,7,8,4,1,5,3,2] => [7,6,4,8,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,1,6,5,8,3,7,2] => [4,7,8,1,6,5,3,2] => [7,6,4,3,8,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,1,6,5,8,7,3,2] => [4,3,7,1,6,5,8,2] => [4,6,3,2,8,1,7,5] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[6,4,8,3,7,1,5,2] => [7,5,8,6,1,4,3,2] => [6,8,5,7,4,1,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,6,8,1,5,7,3,2] => [8,3,7,4,1,6,5,2] => [3,6,4,7,2,8,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[4,6,1,8,5,7,3,2] => [6,3,7,4,8,1,5,2] => [4,7,3,8,6,5,1,2] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,1,6,8,5,7,3,2] => [4,3,7,1,8,6,5,2] => [4,7,3,2,6,8,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[4,6,8,3,1,5,7,2] => [3,8,7,4,2,6,5,1] => [6,3,4,7,1,8,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,6,3,8,5,7,1,2] => [7,1,6,4,8,3,5,2] => [4,1,7,8,6,3,2,5] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[4,3,6,1,8,5,7,2] => [6,7,4,3,8,1,5,2] => [7,4,8,1,6,5,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,3,6,1,8,7,5,2] => [6,5,4,3,7,1,8,2] => [4,6,8,1,5,3,7,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,3,6,8,1,7,5,2] => [8,5,4,3,7,6,1,2] => [4,5,7,1,6,8,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[4,6,3,8,1,7,5,2] => [8,5,7,4,6,2,1,3] => [4,6,5,8,7,2,3,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[4,6,3,1,8,7,5,2] => [3,6,5,4,7,2,8,1] => [6,3,4,8,5,1,7,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,1,6,8,3,7,5,2] => [4,5,7,1,8,6,2,3] => [7,6,4,3,5,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,6,1,8,3,7,5,2] => [6,5,7,4,8,1,2,3] => [6,7,4,8,5,3,2,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[6,2,8,5,7,1,3,4] => [7,6,1,3,8,2,5,4] => [7,8,2,1,6,5,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,4,8,7,1,5,3,6] => [7,2,5,4,1,3,8,6] => [2,4,5,8,3,1,7,6] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[6,4,1,8,7,5,3,2] => [4,3,6,5,7,2,8,1] => [4,8,3,6,5,1,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,8,7,5,3,2] => [6,3,5,1,7,4,8,2] => [3,8,6,2,5,1,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,8,7,3,5,2] => [4,6,5,7,1,2,8,3] => [8,5,6,4,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,8,9,7,1] => [7,2,3,4,5,6,9,8,1] => [2,3,4,5,6,8,7,9,1] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[2,3,4,5,7,8,9,6,1] => [6,2,3,4,5,9,7,8,1] => [2,3,4,5,7,6,8,9,1] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[2,4,5,6,7,8,9,3,1] => [3,2,9,4,5,6,7,8,1] => [2,4,3,5,6,7,8,9,1] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[2,3,6,7,4,8,5,1] => [5,2,3,8,7,6,1,4] => [2,3,7,5,6,8,4,1] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,5,6,3,7,8,1,4] => [8,2,6,1,5,3,7,4] => [2,5,6,3,7,4,8,1] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[2,3,4,6,7,8,9,10,5,1] => [5,2,3,4,10,6,7,8,9,1] => [2,3,4,6,5,7,8,9,10,1] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[2,3,4,5,6,7,10,1,8,9] => [10,2,3,4,5,6,7,1,8,9] => [2,3,4,5,6,7,10,1,8,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[2,5,6,7,4,8,1,3] => [8,2,1,7,5,6,4,3] => [2,5,1,6,7,8,3,4] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[2,6,7,3,4,8,5,1] => [5,2,8,1,7,6,4,3] => [2,7,5,3,6,8,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,5,3,2,6,4,7,8] => [1,3,5,6,2,4,7,8] => [1,6,3,5,4,2,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,7,3,2,5,8,4,6] => [1,3,7,8,2,4,5,6] => [1,8,3,7,4,5,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,7,5,4,8,6] => [1,3,2,5,7,8,4,6] => [1,3,2,8,5,7,6,4] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[4,6,2,3,7,5,1,8] => [5,7,1,4,6,3,2,8] => [5,4,2,7,6,1,3,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[4,7,2,3,5,6,1,8] => [6,7,2,4,3,5,1,8] => [6,4,1,7,2,3,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[4,6,2,3,5,7,1,8] => [7,6,2,4,3,5,1,8] => [4,6,1,7,2,3,5,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,5,7,2,8,4,3,6] => [1,7,4,8,5,3,2,6] => [1,5,7,4,8,2,6,3] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[3,5,2,1,8,6,4,7] => [2,5,3,6,1,8,4,7] => [3,2,8,5,4,6,1,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,6,8,4,2,1,5,7] => [2,4,3,8,1,6,5,7] => [3,2,6,4,1,8,5,7] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,5,8,2,7,4,3,6] => [1,8,4,7,5,3,2,6] => [1,4,7,5,8,2,6,3] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,7,2,3,4,8,6,5] => [1,7,2,3,6,8,4,5] => [1,7,2,3,8,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,1,8,2,3,5,7,6] => [4,8,2,1,3,7,5,6] => [7,4,1,3,2,8,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,3,1,8,4,5,7,6] => [3,2,1,8,4,7,5,6] => [2,3,1,7,4,8,6,5] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[7,8,1,4,3,5,2,6] => [8,5,4,1,3,2,7,6] => [4,5,7,3,1,2,8,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[6,1,2,3,4,8,7,5] => [6,1,2,3,7,4,8,5] => [8,1,2,3,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,4,3,5,2,6] => [7,5,4,1,3,2,8,6] => [4,5,8,3,1,2,7,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,3,2,1,4,5,7,6] => [2,3,8,1,4,7,5,6] => [7,2,3,1,4,8,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,8,2,1,5,6,4,7] => [2,8,3,6,1,5,4,7] => [3,2,6,8,4,1,5,7] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,7,8,3,5,4,2,6] => [1,4,5,8,2,3,7,6] => [1,7,5,4,3,2,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,4,1,8,3,5,2,6] => [4,7,5,8,1,3,2,6] => [8,5,7,4,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,6,2,1,5,7] => [2,6,3,8,1,4,5,7] => [3,2,8,6,4,5,1,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,3,2,5,1,8,6,7] => [5,3,4,2,1,8,6,7] => [3,5,4,1,2,8,6,7] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[2,4,7,8,1,5,3,6] => [8,2,5,4,1,3,7,6] => [2,4,5,7,3,1,8,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,8,7,3,5,4,2,6] => [1,4,5,7,2,3,8,6] => [1,8,5,4,3,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,8,2,7,4,3,6] => [5,8,4,7,1,3,2,6] => [7,4,8,5,3,1,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,7,2,8,4,3,6] => [5,7,4,8,1,3,2,6] => [7,5,8,4,3,1,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,1,8,3,5,4,2,6] => [7,4,5,8,2,3,1,6] => [5,8,7,4,2,1,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,6,2,3,4,8,7,5] => [1,6,2,3,7,4,8,5] => [1,8,2,3,6,5,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,4,1,8,5] => [4,6,2,3,7,8,5,1] => [8,4,1,2,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,7,4,5,1,6] => [5,3,8,7,4,1,2,6] => [5,8,3,7,1,4,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,4,8,1,5] => [8,6,2,3,1,7,4,5] => [6,8,1,2,4,7,5,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,2,3,4,7,1,5] => [7,6,2,3,1,8,4,5] => [7,8,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,3,4,8,7,5,1,2] => [5,1,7,2,6,4,8,3] => [8,1,5,3,6,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,3,5,6,1,2] => [6,1,7,4,3,5,8,2] => [6,1,4,8,2,3,7,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,8,7,3,4,6,1,2] => [6,1,7,3,5,4,8,2] => [6,1,5,2,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,8,4,1,2,6,7,3] => [4,1,8,7,5,3,6,2] => [7,1,4,5,8,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,3,7,2,6,1,8,4] => [6,7,5,8,3,2,1,4] => [7,6,8,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,2,8,1,6,3,7,4] => [8,5,6,7,2,1,3,4] => [5,8,7,6,3,4,2,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,8,2,1,4,7,6,3] => [2,8,6,1,5,7,4,3] => [5,2,6,3,8,7,1,4] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[7,8,4,1,2,6,5,3] => [4,1,8,5,6,3,7,2] => [7,1,4,5,6,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,8,1,2,4,7,6,3] => [8,1,6,2,5,7,4,3] => [5,1,6,3,8,7,2,4] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[2,8,7,6,3,1,4,5] => [3,2,6,1,4,7,8,5] => [2,8,3,1,4,6,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,6,3,4,2,5] => [1,4,6,3,2,7,8,5] => [1,8,4,2,3,6,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,1,4,5,6,7,3] => [8,2,7,1,4,5,6,3] => [2,7,8,3,1,4,5,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[3,1,7,2,6,5,8,4] => [3,7,1,8,6,2,5,4] => [7,3,2,6,8,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,2,7,1,6,5,8,4] => [7,3,2,8,6,1,5,4] => [3,7,1,6,8,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[6,3,1,8,5,7,2,4] => [3,6,7,1,8,2,5,4] => [8,7,3,2,6,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,7,5,8,3] => [2,4,6,8,7,3,5,1] => [8,2,6,4,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,7,1,6,8,5,4] => [7,2,3,5,8,1,6,4] => [2,3,7,8,5,4,1,6] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[3,2,6,7,5,8,1,4] => [8,3,2,1,7,6,5,4] => [3,6,1,2,7,8,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,2,7,5,6,3,8,4] => [1,2,6,8,7,5,3,4] => [1,2,8,6,7,3,5,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,8,7,6,2,1,3,5] => [2,6,1,4,3,7,8,5] => [4,2,1,8,3,6,7,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,8,7,6,1,3,2,5] => [6,3,1,4,2,7,8,5] => [3,4,2,8,1,6,7,5] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,7,6,3,5,4,8,2] => [1,8,6,5,3,7,4,2] => [1,5,6,8,3,7,2,4] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[3,4,6,1,5,7,2,8] => [6,7,3,4,1,5,2,8] => [4,3,6,7,2,1,5,8] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[7,8,6,5,1,2,4,3] => [5,1,4,2,6,8,7,3] => [4,1,7,3,5,6,8,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[2,3,1,6,8,5,7,4] => [3,2,1,7,8,6,5,4] => [2,3,1,7,6,8,4,5] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[7,3,2,5,1,4,8,6] => [5,3,7,1,2,8,4,6] => [5,8,3,2,4,7,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,4,2,3,6,8,5] => [7,4,2,1,8,3,6,5] => [4,8,1,3,7,5,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,5,8,3,4,6,7,2] => [1,7,8,3,5,4,6,2] => [1,7,5,2,8,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[8,1,4,7,2,5,3,6] => [8,7,5,1,2,3,4,6] => [5,7,8,3,4,2,6,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[5,7,2,8,6,4,3,1] => [3,4,6,8,5,7,1,2] => [6,5,3,4,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,1,2,7,5,3,8,4] => [6,1,5,7,8,2,4,3] => [7,1,8,6,5,4,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,8,6,4,3,7,1,5] => [7,2,4,6,1,8,3,5] => [2,4,8,7,3,6,5,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,3,2,6,4,7,1,5] => [7,3,8,6,1,2,4,5] => [6,7,3,8,4,5,2,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[2,3,8,7,6,5,1,4] => [5,2,3,1,6,7,8,4] => [2,3,8,1,5,6,7,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,5,8,7,1,2,6,3] => [7,1,6,4,5,2,8,3] => [4,1,5,6,8,3,7,2] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[3,2,8,4,7,6,1,5] => [6,3,2,7,4,8,1,5] => [3,8,1,7,2,6,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,8,4,7,2,1,6] => [2,7,3,8,5,1,4,6] => [3,2,7,5,8,4,6,1] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,6,8,4,2,7,5,3] => [1,4,8,5,7,6,3,2] => [1,7,4,5,6,8,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,5,8,2,3,7,6,4] => [1,8,2,6,5,7,3,4] => [1,5,2,6,8,7,4,3] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[2,1,8,4,3,7,6,5] => [2,1,4,8,6,7,3,5] => [2,1,6,4,8,7,5,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[5,6,8,4,1,2,7,3] => [4,1,8,7,5,6,3,2] => [6,1,4,5,7,8,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,8,1,3,2,7,4] => [8,3,1,7,5,6,2,4] => [3,5,2,6,7,8,4,1] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,6,8,4,3,2,7,5] => [1,3,4,8,7,6,2,5] => [1,6,3,4,7,8,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,6,8,4,3,2,1,7] => [2,3,4,8,5,6,1,7] => [5,2,3,4,6,8,1,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[7,1,2,8,6,5,4,3] => [7,1,4,5,6,8,2,3] => [4,1,8,5,7,6,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,1,4,8,6,2,5,3] => [7,6,5,1,2,8,4,3] => [5,7,8,3,4,6,1,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,3,1,8,6,2,5,4] => [3,7,6,5,1,8,2,4] => [7,3,5,8,4,6,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,4,5,8,3,2,1,6] => [2,3,8,7,4,1,5,6] => [7,2,3,8,1,5,6,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,1,5,8,7,2,6,4] => [3,7,1,6,5,2,8,4] => [5,3,2,6,8,4,7,1] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,6,4,8,2,7,5,3] => [1,8,5,7,6,3,2,4] => [1,5,8,6,7,3,4,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,4,5,8,3,2,7,6] => [1,3,8,4,5,7,2,6] => [1,4,3,5,7,8,6,2] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[7,6,1,4,8,2,5,3] => [6,7,5,2,1,8,4,3] => [7,5,8,2,4,6,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,6,1,3,8,2,5,4] => [6,7,2,5,1,8,3,4] => [7,5,1,8,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,5,1,8,6,4,3] => [5,7,4,6,2,8,1,3] => [7,4,8,5,2,6,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,5,3,8,6,1,4] => [6,8,5,2,1,7,3,4] => [6,5,8,2,4,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,2,1,4,8,6,5,3] => [2,7,5,1,6,8,4,3] => [5,2,8,3,7,6,1,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,3,5,4,8,7,1,6] => [7,2,3,5,4,1,8,6] => [2,3,5,8,1,4,7,6] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,6,5,3,8,2,7,4] => [1,8,5,6,7,4,2,3] => [1,5,8,7,6,2,4,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,6,3,4,8,2,7,5] => [1,8,6,3,7,4,2,5] => [1,6,8,2,7,4,5,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,3,5,4,8,2,7,6] => [1,8,3,5,4,7,2,6] => [1,3,5,7,2,8,6,4] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[3,6,5,4,8,2,1,7] => [2,8,3,5,6,4,1,7] => [3,2,5,8,6,1,4,7] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[7,6,1,2,3,8,5,4] => [6,1,2,5,7,8,4,3] => [7,1,2,8,5,6,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,6,2,4,3,8,1,5] => [8,6,4,2,1,7,3,5] => [4,6,8,2,3,7,5,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,1,5,4,2,8,6,3] => [7,4,5,6,1,8,3,2] => [4,8,7,5,3,6,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,4,3,8,1,7] => [8,2,4,5,6,3,1,7] => [2,4,8,5,6,1,3,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,4,2,6,7,8,1,5] => [8,4,3,2,1,6,7,5] => [3,4,6,1,2,7,8,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[3,1,4,2,6,8,7,5] => [3,4,1,2,7,6,8,5] => [4,3,2,1,6,8,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[6,7,3,2,8,1,4,5] => [8,3,7,1,4,6,2,5] => [3,7,6,2,1,8,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,4,2,6,1,8,5] => [6,4,7,3,8,2,1,5] => [7,8,4,1,6,3,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,3,1,5,6,8,2] => [3,4,7,8,1,5,6,2] => [8,7,3,4,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,1,5,8,3,2] => [4,3,7,8,2,6,5,1] => [6,7,3,4,1,8,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[4,7,5,1,6,8,3,2] => [5,3,7,4,8,2,6,1] => [4,7,3,8,5,1,2,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,6,1,2,7,5,3,8] => [6,1,5,4,7,2,3,8] => [4,1,6,7,5,3,2,8] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[4,1,8,2,6,5,3,7] => [4,8,5,1,6,2,3,7] => [8,4,5,3,6,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,1,5,6,7,2] => [3,4,8,7,1,5,6,2] => [8,4,3,7,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,1,8,6,7,2] => [3,5,7,4,2,8,6,1] => [5,4,3,8,1,7,2,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,4,8,2,1,5,3,7] => [2,8,5,6,1,4,3,7] => [5,2,8,6,4,1,3,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,7,1,4,6,8,3,2] => [7,3,8,1,5,4,6,2] => [5,7,3,2,8,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,1,3,4,7,6,8,2] => [5,8,1,3,4,7,6,2] => [7,5,2,1,3,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,1,4,2,7,5,3,8] => [6,4,5,1,7,2,3,8] => [4,7,6,3,5,2,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[5,4,3,7,1,6,8,2] => [7,8,4,5,3,1,6,2] => [5,4,8,7,1,3,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,2,7,6,5,4,1,3] => [4,5,2,6,7,8,1,3] => [8,7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,6,5,4,1,3] => [4,5,1,6,7,2,8,3] => [8,6,2,4,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,7,6,5,1,4] => [5,3,2,1,6,7,8,4] => [3,8,1,2,5,6,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,7,6,5,3,1,2] => [3,1,5,4,6,7,8,2] => [4,1,3,8,5,6,7,2] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[7,3,8,6,5,4,2,1] => [2,4,5,6,8,7,1,3] => [8,2,6,4,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,6,3,5,4,1] => [4,2,5,6,1,7,8,3] => [2,8,5,4,3,6,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,8,1,5,3,2,4,6] => [8,3,5,2,1,4,7,6] => [3,7,5,1,4,2,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[8,4,6,1,5,2,3,7] => [6,5,2,8,1,4,3,7] => [6,8,1,5,4,2,3,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,2,1,5,4,3,7] => [2,6,4,5,1,8,3,7] => [4,2,8,5,3,6,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,1,7,4,3,2,6,5] => [8,3,4,7,6,2,1,5] => [3,7,4,6,8,2,5,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[8,1,5,7,3,2,6,4] => [8,3,7,6,1,2,5,4] => [3,7,6,8,4,5,1,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,7,6,1,8,2,3,4] => [6,7,1,3,5,8,2,4] => [7,5,2,1,8,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,2,5,1,8,3,4] => [5,7,8,3,2,6,1,4] => [7,6,5,1,3,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,5,1,6,8,2,3,4] => [5,7,1,3,8,2,6,4] => [8,7,2,1,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,1,8,2,3,4] => [7,8,2,3,6,5,1,4] => [7,6,1,2,8,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,3,8,1,2,4,5] => [8,1,7,2,4,6,3,5] => [6,1,7,3,2,8,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[7,1,8,4,3,6,2,5] => [7,6,4,8,2,3,1,5] => [6,7,8,4,2,3,5,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,5,8,1,2,7,3,4] => [8,1,7,3,6,5,2,4] => [6,1,7,2,8,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,3,1,8,5,6,2,4] => [3,7,6,1,8,5,2,4] => [8,3,7,2,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,8,3,1,5,4] => [3,8,6,5,2,1,7,4] => [6,3,5,7,2,4,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[7,4,8,2,1,3,6,5] => [2,8,1,7,6,3,4,5] => [6,2,1,7,8,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[8,7,5,2,3,1,6,4] => [3,5,2,7,6,4,8,1] => [8,3,1,5,6,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,4,6,8,1,7] => [8,5,3,2,4,6,1,7] => [3,5,6,1,2,8,4,7] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[2,4,5,7,3,6,8,1] => [8,2,7,4,5,3,6,1] => [2,4,5,7,8,1,3,6] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[4,3,5,2,6,8,1,7] => [8,5,4,3,2,6,1,7] => [4,5,6,1,2,8,3,7] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[4,6,3,7,2,5,8,1] => [8,7,6,4,2,3,5,1] => [4,6,7,8,2,3,1,5] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[4,6,3,1,7,8,2,5] => [3,6,8,4,1,2,7,5] => [6,4,3,7,2,5,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[5,7,1,3,4,6,8,2] => [7,8,1,3,5,4,6,2] => [7,5,2,1,8,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,5,7,1,3,6,8,2] => [7,8,1,4,5,3,6,2] => [5,4,2,7,8,1,3,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,6,3,5,1,7,8,2] => [5,8,6,4,3,1,7,2] => [6,4,5,7,1,3,8,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[4,6,3,5,7,2,8,1] => [8,7,6,4,3,5,2,1] => [4,6,7,8,1,2,3,5] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[5,1,6,7,3,4,8,2] => [5,8,7,3,1,6,4,2] => [7,5,6,1,4,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,6,7,3,4,5,8,2] => [1,8,7,3,4,6,5,2] => [1,6,7,2,3,8,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[3,5,2,6,1,7,8,4] => [6,5,3,8,2,1,7,4] => [3,6,7,5,2,4,8,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[3,5,2,6,7,4,8,1] => [8,5,3,7,2,6,4,1] => [3,5,7,6,2,8,1,4] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[5,2,3,6,7,4,8,1] => [8,5,2,7,3,6,4,1] => [5,7,1,6,3,8,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[4,2,6,7,3,5,8,1] => [8,4,7,2,3,6,5,1] => [4,7,6,2,1,8,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[3,7,2,4,8,1,5,6] => [8,7,3,2,1,5,4,6] => [3,7,8,1,4,2,6,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[7,2,4,6,8,1,3,5] => [8,7,1,2,3,4,6,5] => [7,8,2,3,4,5,1,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,3,4,6,8,2,5] => [7,8,1,3,2,4,6,5] => [8,7,2,1,4,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,4,6,8,1,5] => [8,7,3,2,1,4,6,5] => [3,7,8,1,4,5,2,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,5,7,2,6,8,1,4] => [8,7,3,1,5,2,6,4] => [3,5,7,2,8,4,1,6] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[6,3,7,2,5,8,1,4] => [8,7,6,1,2,3,5,4] => [6,7,8,3,4,5,1,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,3,5,7,2,8,1,4] => [8,7,6,1,3,5,2,4] => [6,7,8,3,2,1,5,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,3,5,7,2,4,8,1] => [8,7,6,2,3,5,4,1] => [6,7,8,2,3,1,4,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,2,4,5,7,3,8,1] => [8,6,7,2,4,5,3,1] => [6,8,7,2,1,3,4,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,6,7,5,8,1,3,4] => [8,2,1,3,7,6,5,4] => [2,6,1,3,7,8,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,6,7,1,2,5,8,3] => [7,1,8,4,2,6,5,3] => [6,1,4,7,3,8,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[5,4,2,6,1,7,8,3] => [6,4,5,8,3,1,7,2] => [5,7,6,4,1,3,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,6,4,1,2,7,8,3] => [4,1,6,8,5,3,7,2] => [6,1,5,4,7,2,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[6,3,5,1,7,8,2,4] => [5,8,6,2,3,1,7,4] => [7,5,6,2,3,4,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,5,7,2,8,1,3,4] => [8,7,1,3,6,5,2,4] => [6,7,2,1,8,3,5,4] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,6,4,7,1,3,8,2] => [7,8,1,6,5,4,3,2] => [6,5,2,7,8,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[5,4,6,3,1,7,8,2] => [3,6,8,5,4,2,7,1] => [6,5,3,7,1,2,8,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[8,4,5,2,6,1,3,7] => [6,5,1,8,4,2,3,7] => [6,8,2,5,1,4,3,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,5,4,2,1,6,8,3] => [2,4,5,7,8,1,6,3] => [8,2,7,4,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,3,1,6,8,2] => [3,5,8,7,4,2,6,1] => [8,5,3,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,5,6,1,8,2] => [6,8,4,7,3,5,1,2] => [7,4,8,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,6,3,7,4,1,8,2] => [4,7,8,6,5,1,2,3] => [7,5,4,6,8,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,3,7,8,1,2,4] => [8,1,6,2,5,3,7,4] => [5,1,6,3,7,4,8,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[5,6,3,7,2,4,8,1] => [8,7,6,2,5,3,4,1] => [5,6,7,2,8,3,1,4] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[5,6,7,2,3,8,1,4] => [8,7,2,1,5,6,3,4] => [5,6,1,3,7,8,4,2] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[7,6,4,2,1,3,8,5] => [2,4,1,6,7,8,5,3] => [8,2,1,4,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,4,1,2,8,5] => [4,1,6,3,7,8,5,2] => [8,1,4,2,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,2,4,1,8,5] => [4,3,6,2,7,8,5,1] => [4,8,3,1,7,6,2,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,7,3,8,1] => [8,5,7,6,4,2,3,1] => [5,8,6,7,1,3,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,7,8,1,3] => [8,5,1,6,4,2,7,3] => [5,7,2,6,1,4,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[7,4,5,2,6,1,8,3] => [6,5,8,7,4,2,1,3] => [7,8,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,5,6,1,2,8,3] => [6,1,8,7,4,5,2,3] => [8,1,6,7,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,2,1,3,8,4] => [2,6,1,8,7,5,3,4] => [8,2,1,6,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,5,1,2,8,4] => [5,1,7,8,3,6,2,4] => [7,1,6,5,3,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,6,7,2,4,1,8,3] => [4,7,8,2,5,6,1,3] => [6,5,4,2,7,8,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,4,2,7,8,1,3] => [8,4,1,6,5,2,7,3] => [4,6,2,5,7,3,8,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[5,4,6,7,3,1,8,2] => [3,7,8,5,4,6,2,1] => [6,5,3,7,1,8,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,7,8,5,6,3,4,2] => [1,4,6,3,8,5,7,2] => [1,7,4,2,6,3,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,7,5,8,6,3,4,2] => [1,4,6,3,8,7,2,5] => [1,8,4,2,6,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,8,5,6,4,1,2] => [4,1,6,7,8,5,2,3] => [8,1,7,4,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,8,6,4,1,2] => [4,1,6,8,3,7,5,2] => [8,1,6,4,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,8,6,4,1,2] => [4,1,3,6,5,8,7,2] => [3,1,5,4,7,6,8,2] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[3,5,7,8,1,6,4,2] => [8,4,3,6,5,1,7,2] => [3,4,6,5,7,2,8,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[5,3,7,8,1,6,4,2] => [8,4,6,5,2,1,7,3] => [4,7,5,6,2,3,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,3,5,8,6,1,4,2] => [6,4,8,3,1,7,5,2] => [6,8,4,1,3,7,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,8,1,5,6,3,4,2] => [8,4,6,3,1,5,7,2] => [4,7,6,1,3,2,8,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[5,1,7,8,3,6,4,2] => [5,4,6,8,1,2,7,3] => [6,7,5,4,3,2,8,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,3,7,8,5,6,4,2] => [1,4,3,6,8,5,7,2] => [1,3,7,4,6,2,8,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[3,1,7,5,8,6,4,2] => [3,4,1,6,8,7,2,5] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,5,3,6,4,2] => [8,4,6,5,1,2,7,3] => [4,7,5,6,3,2,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,8,3,5,1,6,4,2] => [5,4,6,8,2,1,7,3] => [6,7,5,4,2,3,8,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[5,3,7,1,8,6,4,2] => [7,4,6,5,2,8,1,3] => [4,8,5,7,2,6,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,1,8,6,4,2] => [7,4,3,6,5,8,1,2] => [3,4,7,5,8,6,2,1] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,7,5,3,8,6,4,2] => [1,4,6,5,8,7,3,2] => [1,8,4,6,5,7,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,8,6,1,4,2] => [6,4,8,3,5,7,1,2] => [5,6,4,1,8,7,3,2] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,7,5,8,3,6,4,2] => [1,4,6,8,7,2,5,3] => [1,8,6,4,7,5,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,8,5,1,6,4,2] => [5,4,3,8,6,2,7,1] => [3,5,7,4,6,1,8,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[5,7,8,3,6,1,4,2] => [6,4,8,1,5,3,7,2] => [5,6,4,3,7,1,8,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[5,7,8,1,6,3,4,2] => [8,4,6,3,5,1,7,2] => [4,6,5,1,7,3,8,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,7,8,3,5,6,4,2] => [1,4,6,8,2,5,7,3] => [1,7,6,4,3,2,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,5,1,8,6,3,4,2] => [5,4,7,1,6,8,3,2] => [5,8,4,3,7,6,1,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,8,1,6,3,4,2] => [8,4,6,3,7,1,5,2] => [4,8,6,1,7,5,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,5,1,6,3,4,2] => [5,4,8,1,6,3,7,2] => [5,7,4,3,6,1,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[7,8,5,1,3,6,4,2] => [5,4,2,8,6,3,7,1] => [5,7,1,4,6,2,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[7,5,1,8,3,6,4,2] => [5,4,7,6,8,1,3,2] => [7,8,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,7,3,5,8,6,4,2] => [1,4,6,8,3,7,5,2] => [1,8,6,4,2,7,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,7,8,6,4,2] => [1,4,6,5,2,8,7,3] => [1,7,4,5,3,6,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,5,1,7,8,6,4,2] => [5,4,3,6,1,8,7,2] => [3,5,7,4,2,6,8,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[5,3,1,7,8,6,4,2] => [3,5,4,6,2,8,7,1] => [7,3,5,4,1,6,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,3,8,1,5,6,4,2] => [8,4,6,7,1,5,2,3] => [4,8,7,6,3,1,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,1,3,5,6,4,2] => [8,4,1,6,3,5,7,2] => [4,7,2,6,1,3,8,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,1,3,5,8,6,4,2] => [7,4,1,6,3,8,5,2] => [4,8,2,7,1,6,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,1,4,6,2,8] => [3,7,6,2,5,4,1,8] => [6,3,5,1,7,2,4,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[5,7,3,1,4,8,6,2] => [3,7,6,2,5,8,4,1] => [7,3,5,1,8,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,3,7,4,1,2,6,8] => [4,1,7,5,2,3,6,8] => [7,1,4,5,3,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,8,3,5,1,2,6,4] => [5,1,8,6,3,2,7,4] => [7,1,5,6,3,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,3,8,5,1,2,6,4] => [5,1,8,7,6,3,4,2] => [8,1,5,6,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,3,5,2,8,7] => [6,5,4,1,3,2,8,7] => [4,5,6,3,1,2,8,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[2,5,7,3,8,4,1,6] => [4,2,8,7,5,3,1,6] => [2,7,4,5,8,1,6,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,8,6,1,3,2] => [6,3,1,5,4,8,7,2] => [3,5,2,7,1,6,8,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[5,1,4,6,3,2,8,7] => [5,3,6,1,4,2,8,7] => [5,6,3,2,1,4,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[3,5,6,2,4,1,8,7] => [4,6,3,2,5,1,8,7] => [4,3,5,1,6,2,8,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[8,7,1,2,5,3,4,6] => [7,1,5,3,2,4,8,6] => [5,1,8,2,4,3,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,4,7,6,2,8,1,3] => [8,6,1,5,4,7,2,3] => [5,6,2,8,1,7,4,3] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[4,7,2,6,3,8,5,1] => [5,8,7,4,6,3,1,2] => [6,4,5,8,7,1,3,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,1,8,4,6,7,3,5] => [2,1,7,8,3,4,6,5] => [2,1,8,7,4,5,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,7,2,4,8,5,3,1] => [3,5,8,2,7,6,4,1] => [7,5,3,1,6,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,2,1,7,6,3,5,4] => [2,8,6,5,3,7,1,4] => [5,2,6,8,3,7,4,1] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[4,2,3,1,8,7,5,6] => [3,4,2,1,7,5,8,6] => [4,3,1,2,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,7,2,6,5,1,8,3] => [5,6,7,4,8,3,2,1] => [7,6,4,8,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,1,5,6,8,4,3] => [2,7,4,8,1,5,6,3] => [7,2,8,4,3,1,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,1,7,3,6,8,5,4] => [2,1,7,5,8,3,6,4] => [2,1,7,8,5,4,3,6] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[2,1,5,7,8,4,6,3] => [2,1,6,8,5,4,7,3] => [2,1,6,5,7,3,8,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[2,5,7,8,3,6,1,4] => [6,2,8,1,5,3,7,4] => [2,6,5,3,7,4,8,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[6,4,1,5,7,2,8,3] => [4,6,7,8,2,5,3,1] => [8,7,6,4,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,1,2,5,6,3] => [8,1,6,7,2,5,4,3] => [6,1,8,7,4,2,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,8,3,4,2,1,7,5] => [2,4,8,3,7,6,1,5] => [6,2,4,1,7,8,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[4,2,6,1,5,7,8,3] => [6,4,8,2,1,5,7,3] => [6,7,4,2,3,1,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[6,5,8,3,7,4,1,2] => [4,1,7,8,6,5,2,3] => [7,1,6,4,8,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,4,8,3,5,6,2] => [7,6,8,1,3,5,4,2] => [7,8,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,8,7,5,3,4,1,2] => [4,1,5,3,7,6,8,2] => [6,1,4,2,5,8,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,8,6,3,1,5,7,2] => [3,6,8,4,1,7,5,2] => [6,4,3,8,2,7,1,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,5,7,2,8,6,1,4] => [6,8,3,2,5,7,1,4] => [5,3,6,1,8,7,4,2] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,6,3,7,5,2,8,4] => [1,5,7,6,8,4,3,2] => [1,8,6,7,5,2,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,8,7,5,1,3] => [5,2,1,7,6,3,8,4] => [2,8,1,5,6,4,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,8,5,1,4] => [5,8,7,2,6,1,3,4] => [8,5,6,2,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,8,6,5,1,3] => [5,6,1,2,8,7,4,3] => [8,6,2,3,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,8,7,2,5,4] => [6,7,1,5,2,3,8,4] => [6,5,2,8,4,3,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,1,5,6,2,8,7,4] => [3,6,1,7,5,2,8,4] => [6,3,2,5,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,2,4,6,3,8,7,5] => [1,2,6,4,7,3,8,5] => [1,2,4,8,6,5,7,3] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[4,1,5,2,8,7,6,3] => [4,5,6,1,2,7,8,3] => [8,5,4,3,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,7,2,8,6,4] => [5,7,1,6,3,8,2,4] => [8,5,2,7,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,4,3,8,7,5] => [6,2,4,1,7,3,8,5] => [2,4,8,3,6,5,7,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,3,4,1,8,6,5,2] => [4,5,6,3,8,7,1,2] => [8,6,4,1,5,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,1,8,7,5,2] => [4,5,7,2,6,1,8,3] => [8,5,4,2,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,1,8,7,4,2] => [3,6,4,7,5,2,8,1] => [6,3,5,4,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,4,2,5,1,8,6,3] => [5,4,7,6,3,8,1,2] => [7,8,4,5,1,6,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,3,6,2,8,1,7,4] => [8,6,5,7,3,2,1,4] => [5,7,8,6,2,3,4,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[4,6,2,7,5,1,8,3] => [5,7,6,4,8,3,2,1] => [7,4,6,8,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,6,2,5,1,4,8,7] => [5,6,3,1,2,4,8,7] => [5,3,6,2,4,1,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[5,2,8,4,1,3,7,6] => [4,8,2,5,1,7,3,6] => [7,4,1,5,3,8,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,4,8,7,1,3,6,5] => [7,2,1,4,6,3,8,5] => [2,4,1,6,8,5,7,3] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[2,3,8,1,4,7,6,5] => [8,2,3,1,6,7,4,5] => [2,3,6,1,8,7,5,4] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,3,8,2,4,7,6,5] => [1,8,3,2,6,7,4,5] => [1,3,6,2,8,7,5,4] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[3,4,1,7,2,8,6,5] => [4,7,3,1,6,8,2,5] => [4,3,7,2,8,6,5,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[3,5,2,1,7,4,8,6] => [2,5,3,7,1,8,4,6] => [3,2,8,5,4,7,6,1] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,7,2,8,5,4] => [3,6,7,5,8,2,1,4] => [7,6,3,8,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,6,1,2,8,7,5,3] => [6,1,5,4,7,2,8,3] => [4,1,6,8,5,3,7,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,5,2,3,8,7,6,4] => [1,5,2,6,3,7,8,4] => [1,8,2,5,4,6,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,8,7,5,3] => [4,1,6,5,7,3,8,2] => [8,1,4,6,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,2,8,6,5,3] => [4,1,7,5,6,8,3,2] => [8,1,4,5,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,7,2,8,6,4] => [3,5,7,6,2,8,1,4] => [8,5,3,7,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,1,3,7,6,4] => [8,5,1,6,2,7,3,4] => [5,8,2,6,4,7,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,1,2,8,3,7,6,5] => [4,1,8,2,6,7,3,5] => [6,1,4,3,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,6,4,7,5,3,1,2] => [3,1,5,7,6,8,2,4] => [8,1,3,5,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,7,5,8,4,2] => [1,4,8,6,7,2,5,3] => [1,8,4,6,7,5,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,4,5,8,6,2] => [1,6,3,8,2,7,5,4] => [1,3,8,6,4,7,2,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,3,7,4,6,5,1,2] => [5,1,6,8,7,2,4,3] => [8,1,7,5,6,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,5,3,1,2] => [3,1,5,7,8,6,2,4] => [7,1,3,6,5,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,8,7,5,6,3,1,2] => [3,1,6,4,7,5,8,2] => [4,1,3,8,6,2,7,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,7,2,6,4,1,3,8] => [4,6,2,7,5,1,3,8] => [6,5,1,4,7,3,2,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[4,1,7,3,6,8,5,2] => [4,5,8,1,7,2,6,3] => [8,5,4,3,7,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,4,3,7,5,2] => [8,5,4,7,6,1,2,3] => [4,6,8,5,7,3,2,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[2,1,7,4,8,6,3,5] => [2,1,6,8,4,7,3,5] => [2,1,8,6,3,7,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,8,4,7,5,6] => [2,1,3,8,7,5,4,6] => [2,1,3,7,8,4,6,5] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[6,2,8,7,1,4,3,5] => [7,6,4,1,3,2,8,5] => [4,6,8,3,1,5,7,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[8,7,2,1,5,4,3,6] => [2,7,4,5,1,3,8,6] => [4,2,8,5,3,1,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[2,4,8,3,1,5,6,7] => [3,2,8,4,1,5,6,7] => [2,4,3,8,1,5,6,7] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[5,2,7,3,1,4,6,8] => [3,7,5,2,1,4,6,8] => [7,3,5,1,4,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,3,7,2,8,4,6,5] => [1,7,3,8,6,4,2,5] => [1,3,7,6,8,4,5,2] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,4,2,5,8,6,7,3] => [1,4,7,2,5,8,6,3] => [1,5,4,3,8,7,2,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[6,5,3,8,2,1,4,7] => [2,8,5,1,6,3,4,7] => [5,2,8,3,6,4,1,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,6,3,1,8,4,5,2] => [3,6,5,7,2,8,4,1] => [8,3,7,5,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,1,3,7,5,2] => [4,8,2,5,7,6,3,1] => [7,4,1,5,6,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,8,3,1,7,4,6,2] => [3,8,6,7,5,4,2,1] => [7,3,5,6,8,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,3,1,8,7,4,5,6] => [3,2,1,7,4,5,8,6] => [2,3,1,8,4,5,7,6] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,4,1,8,5,7,3,6] => [4,2,7,1,8,3,5,6] => [2,8,4,3,7,5,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,8,7,5,6,3,2] => [4,3,6,1,7,5,8,2] => [4,8,3,2,6,1,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,8,4,6,3,5] => [2,1,6,8,3,4,7,5] => [2,1,7,6,4,5,8,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[3,5,8,7,2,6,4,1] => [4,6,3,7,5,1,8,2] => [5,3,6,4,8,2,7,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[8,6,3,7,5,2,1,4] => [2,5,7,3,6,8,1,4] => [8,2,5,1,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,8,5,2,1,7] => [2,5,8,4,6,1,3,7] => [5,2,4,8,6,3,1,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,6,3,7,5,2,8,1] => [8,5,7,4,6,2,3,1] => [4,6,5,8,7,2,1,3] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,5,7,8,2,6,1,4] => [6,8,3,1,5,2,7,4] => [5,3,6,2,7,4,8,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[7,6,3,8,5,2,4,1] => [4,5,8,3,6,7,2,1] => [8,5,4,1,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,7,5,1,6] => [5,7,1,3,8,2,4,6] => [8,7,2,1,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,6,5,1,4,2] => [5,4,6,3,8,1,7,2] => [6,7,4,1,5,3,8,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,8,3,7,5,1,6,2] => [5,7,6,4,8,2,1,3] => [7,4,6,8,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,3,4,7,1,6,5] => [7,8,2,3,6,1,4,5] => [7,6,1,2,8,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,7,3,6,5,1,2,4] => [5,1,6,3,7,2,8,4] => [8,1,6,2,5,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,5,1,6,3,4] => [5,7,8,1,6,2,3,4] => [8,6,5,3,7,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,7,3,6,4,2] => [8,4,6,7,5,2,1,3] => [4,7,6,5,8,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,2,7,8,4,6,3,1] => [3,6,5,8,1,4,7,2] => [7,3,6,5,4,1,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,2,7,3,1,6,4,5] => [3,7,8,6,4,2,1,5] => [7,6,3,8,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,8,3,2,5,7,1,4] => [7,3,8,1,2,6,5,4] => [6,7,3,2,4,8,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,2,3,4,1,8,5,7] => [4,6,2,3,8,1,5,7] => [8,4,1,2,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,4,8,7,5,1] => [5,7,1,3,6,4,8,2] => [8,5,2,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,8,7,5,6] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,5,7,6] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,8,5,3,4,6,7] => [1,2,5,3,8,4,6,7] => [1,2,8,3,5,4,6,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,8,4,2,3,5,6,7] => [1,4,2,8,3,5,6,7] => [1,8,2,4,3,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,7,1,4,6,3,2] => [7,3,6,1,8,4,5,2] => [3,8,7,2,6,4,1,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,5,7,1,6,3,2] => [7,3,6,4,8,1,5,2] => [3,7,4,8,6,5,1,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[8,4,7,1,5,6,3,2] => [7,3,6,8,1,5,4,2] => [3,8,7,6,4,1,2,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,2,5,1,4,6,3] => [5,7,6,1,2,4,8,3] => [8,5,6,3,4,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,8,5,2,7,3] => [1,5,8,7,6,2,3,4] => [1,8,5,6,7,4,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,5,1,2,4,6,3] => [5,1,7,3,6,4,8,2] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,5,6,2,3,4] => [7,6,2,3,8,5,1,4] => [7,8,1,2,6,3,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,5,8,7,1,6,2,4] => [7,6,3,2,5,1,8,4] => [3,5,6,1,8,4,7,2] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[3,2,8,6,7,5,1,4] => [5,3,2,1,7,8,6,4] => [3,8,1,2,5,7,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,7,1,5,6,3,4] => [7,2,6,3,1,5,8,4] => [2,6,8,1,4,3,7,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,8,7,1,3,5,6,4] => [7,2,1,6,3,5,8,4] => [2,6,1,8,4,3,7,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,1,8,2,3,5,6,4] => [7,8,2,6,3,5,1,4] => [7,6,1,8,3,2,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,6,3,7,4,1,5,2] => [4,7,5,6,2,8,1,3] => [8,4,7,5,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,1,6,2,3,4] => [5,7,1,3,6,2,8,4] => [8,5,2,1,6,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,1,6,3,4,5] => [7,8,6,3,4,1,2,5] => [7,6,8,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,7,2,1,3,5,6,4] => [2,7,1,6,3,5,8,4] => [6,2,1,8,4,3,7,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,8,7,2,6,3,4,5] => [1,7,6,3,4,2,8,5] => [1,6,8,2,3,5,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,8,7,3,6,2,4,5] => [1,6,7,2,4,3,8,5] => [1,8,6,3,2,5,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,3,1,5,6,2,4] => [3,7,6,1,2,5,8,4] => [8,3,6,2,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,3,5,6,1,4] => [6,2,7,1,3,5,8,4] => [2,8,6,3,4,1,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,2,1,6,7,4,3] => [2,5,4,8,7,3,6,1] => [5,2,8,4,7,1,3,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,2,8,6,7,5,3,4] => [1,2,5,3,7,8,6,4] => [1,2,8,3,5,7,4,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,8,3,6,7,5,2,4] => [1,5,7,3,8,2,6,4] => [1,8,7,2,5,4,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,3,6,7,5,1,4] => [5,7,1,2,8,3,6,4] => [8,7,2,3,5,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,2,6,7,5,3] => [8,4,5,1,7,2,6,3] => [4,8,5,3,7,2,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,6,7,3,5,4] => [1,2,7,5,3,8,6,4] => [1,2,5,8,4,7,3,6] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[8,1,2,7,3,6,4,5] => [8,1,7,6,4,3,2,5] => [6,1,7,8,2,4,5,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,1,7,2,6,3,4,5] => [8,7,6,3,4,2,1,5] => [6,7,8,1,2,4,5,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,1,3,7,2,5,6,4] => [8,7,1,6,2,5,3,4] => [6,7,2,8,4,1,5,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,7,8,2,3,6,5,4] => [1,8,2,5,6,3,7,4] => [1,5,2,7,6,4,8,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[8,3,7,1,2,5,6,4] => [7,1,8,6,2,5,3,4] => [7,1,6,8,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,3,6,2,4,5,7,1] => [7,6,8,2,4,3,5,1] => [7,8,6,2,1,4,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,8,6,4,3,5,7,1] => [7,2,4,6,3,8,5,1] => [2,4,8,7,1,6,3,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,6,8,3,5,4,7,1] => [7,2,8,5,3,6,4,1] => [2,6,5,7,3,8,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[8,4,2,7,6,1,3,5] => [6,4,2,7,3,8,1,5] => [7,8,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,1,7,6,3,2,5] => [8,3,6,4,2,7,1,5] => [3,6,4,8,1,7,5,2] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[4,1,7,6,2,3,5,8] => [4,6,2,1,3,7,5,8] => [7,4,1,3,2,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,1,7,6,4,5,2,8] => [3,5,1,6,4,7,2,8] => [7,3,2,5,1,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,3,8,7,5,2,4,1] => [4,5,7,3,6,2,8,1] => [8,5,4,1,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,8,4,2,6,1] => [6,4,8,7,2,3,5,1] => [7,8,4,6,2,3,1,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,5,2,3,1,4,8,6] => [3,5,2,1,7,8,4,6] => [8,3,1,2,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,5,3,8,2,6] => [7,8,5,4,1,2,3,6] => [5,4,7,8,3,2,6,1] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,7,8,1,3,6,2,5] => [8,6,1,4,2,3,7,5] => [4,6,2,7,3,5,8,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[4,8,6,1,3,2,7,5] => [6,3,1,4,8,7,5,2] => [3,4,2,8,6,7,1,5] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[8,4,6,2,1,3,7,5] => [2,6,1,8,7,4,3,5] => [8,2,1,6,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,7,3,1,2,6] => [3,1,7,5,4,2,8,6] => [5,1,3,8,2,4,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,7,4,2,8,3,6,1] => [6,4,7,8,5,2,3,1] => [6,7,5,4,8,2,1,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[6,5,3,4,1,2,8,7] => [4,1,5,3,6,2,8,7] => [6,1,4,2,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,3,7,2,8,6,4,1] => [4,6,8,5,1,7,2,3] => [8,5,4,6,3,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,2,1,5,7,3] => [2,8,7,6,1,4,5,3] => [6,2,7,8,4,3,1,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[5,7,8,4,6,2,1,3] => [2,6,1,8,5,4,7,3] => [6,2,1,5,7,3,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,8,6,4,7,2,1,3] => [2,7,1,6,5,8,4,3] => [5,2,1,7,8,6,3,4] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[5,3,8,6,2,7,4,1] => [4,7,6,5,1,8,3,2] => [8,4,5,7,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,7,5,3,2,1] => [2,3,5,4,7,8,6,1] => [4,2,3,8,5,7,1,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,7,6,4,8,2,1,3] => [2,8,1,6,5,7,4,3] => [5,2,1,6,8,7,3,4] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[5,8,4,6,7,2,1,3] => [2,7,1,8,5,4,6,3] => [7,2,1,5,8,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,4,2,8,1,7,3,5] => [8,4,6,7,2,3,1,5] => [4,8,7,6,2,3,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,3,7,8,1] => [8,5,4,2,6,3,7,1] => [4,5,7,2,6,1,8,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[5,4,6,2,8,7,1,3] => [7,6,1,5,4,2,8,3] => [5,6,2,8,1,4,7,3] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[5,6,3,8,7,2,4,1] => [4,7,6,2,5,3,8,1] => [6,4,5,2,8,1,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,7,4,3,1,8,2,5] => [3,4,7,8,2,6,1,5] => [7,6,3,4,1,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,7,3,8,6,2,4,1] => [4,6,8,3,5,7,2,1] => [6,5,4,1,8,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,4,6,8,2,7,1,3] => [7,8,1,5,4,6,2,3] => [6,5,2,7,1,8,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[3,6,8,5,7,1,4,2] => [7,4,3,1,8,6,5,2] => [3,4,7,2,6,8,1,5] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,7,4,8,6,2,3,5] => [1,6,2,8,4,7,3,5] => [1,8,2,6,3,7,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,5,7,8,1,4] => [8,6,3,1,2,5,7,4] => [3,6,7,2,4,1,8,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[5,2,7,4,6,8,1,3] => [8,5,1,7,2,4,6,3] => [5,8,2,7,4,1,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,3,6,7,1,8,4,2] => [7,4,8,5,2,6,1,3] => [5,7,4,6,2,8,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[4,2,5,6,7,1,8,3] => [7,4,8,2,5,6,1,3] => [5,6,4,2,7,8,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[7,2,6,3,5,1,8,4] => [5,7,6,8,3,2,1,4] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,6,7,2,4,5] => [8,7,1,2,4,3,6,5] => [7,8,2,3,1,5,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,1,3,8,2,7,4,5] => [6,8,1,7,4,3,2,5] => [8,6,2,7,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,4,1,7,8,5] => [4,6,3,2,8,1,7,5] => [4,3,7,1,6,5,8,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,2,7,3,1,5,8,4] => [3,7,6,8,2,1,5,4] => [8,3,7,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,1,5,8,6,2] => [4,6,8,2,1,7,5,3] => [8,6,4,2,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,1,7,8,4,2] => [3,6,4,8,5,2,7,1] => [6,3,5,4,7,1,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[6,3,1,8,5,2,4,7] => [3,6,5,1,8,2,4,7] => [8,3,6,2,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,7,3,8,5] => [4,1,6,7,8,3,2,5] => [8,1,7,4,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,3,2,5,4,8] => [7,3,1,5,2,6,4,8] => [3,5,2,6,4,7,1,8] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[7,8,2,4,3,5,1,6] => [5,8,4,2,3,1,7,6] => [5,4,7,2,1,3,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[7,8,2,4,1,5,3,6] => [4,8,5,2,1,3,7,6] => [7,4,5,2,3,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,4,2,6,5,7,3,8] => [1,4,7,2,6,5,3,8] => [1,6,4,3,7,2,5,8] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[5,6,1,4,2,7,3,8] => [6,4,7,1,5,2,3,8] => [5,6,4,3,7,2,1,8] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[5,6,2,4,3,7,1,8] => [7,6,4,2,5,3,1,8] => [4,5,6,2,7,1,3,8] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[4,5,2,6,1,7,3,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[4,5,1,3,2,7,6,8] => [5,3,1,4,2,7,6,8] => [3,4,2,5,1,7,6,8] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[4,6,5,7,1,3,2,8] => [7,3,1,4,6,5,2,8] => [3,4,2,6,7,1,5,8] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[4,6,1,3,2,7,5,8] => [6,3,1,4,7,2,5,8] => [3,4,2,7,6,5,1,8] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,4,3,6,2,7,5,8] => [1,6,4,3,7,2,5,8] => [1,4,7,2,6,5,3,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[4,5,2,3,1,7,6,8] => [3,5,2,4,1,7,6,8] => [4,3,1,5,2,7,6,8] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[4,5,3,7,6,8,1,2] => [8,1,5,4,3,7,6,2] => [4,1,5,7,2,8,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[4,6,5,7,2,3,1,8] => [3,7,2,4,6,5,1,8] => [4,3,1,6,7,2,5,8] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[3,5,4,6,1,7,2,8] => [6,7,3,5,4,1,2,8] => [5,3,6,7,1,4,2,8] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,5,3,6,4,7,2,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[3,5,2,6,1,7,4,8] => [6,5,3,7,2,1,4,8] => [3,6,7,5,2,4,1,8] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[3,5,2,6,4,7,1,8] => [7,5,3,6,2,4,1,8] => [3,5,7,6,2,1,4,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[4,6,2,7,3,5,8,1] => [8,6,7,4,3,2,5,1] => [4,7,6,8,1,3,2,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[3,5,2,7,6,4,8,1] => [8,5,3,6,2,7,4,1] => [3,5,8,6,2,7,1,4] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,5,7,4,3,8,2,6] => [1,8,4,7,5,2,3,6] => [1,4,7,5,8,3,6,2] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[2,5,7,3,1,8,6,4] => [3,2,7,6,5,8,1,4] => [2,5,3,7,8,6,4,1] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,5,7,2,8,3,6,4] => [1,7,8,6,5,3,2,4] => [1,6,5,7,8,3,4,2] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[5,2,6,7,1,8,4,3] => [7,5,4,8,2,6,1,3] => [5,6,7,4,2,8,3,1] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[2,3,1,5,8,4,7,6] => [3,2,1,8,5,7,4,6] => [2,3,1,5,7,8,6,4] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[2,3,1,5,8,6,4,7] => [3,2,1,6,5,8,4,7] => [2,3,1,5,8,6,4,7] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[2,4,7,3,1,8,5,6] => [3,2,7,4,8,5,1,6] => [2,4,3,8,7,1,6,5] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,3,7,2,8,5,4,6] => [1,7,3,5,8,4,2,6] => [1,3,7,8,5,2,6,4] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[4,6,2,7,1,8,3,5] => [7,6,8,4,3,2,1,5] => [6,7,4,8,1,3,5,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[2,1,5,6,8,4,7,3] => [2,1,7,8,5,6,4,3] => [2,1,6,5,7,8,3,4] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[2,4,1,7,8,5,6,3] => [4,2,6,1,8,5,7,3] => [2,7,4,3,6,1,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,1,5,6,8,7,3,4] => [2,1,7,3,5,6,8,4] => [2,1,5,3,6,8,7,4] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[3,6,5,2,7,8,4,1] => [4,8,3,5,6,1,7,2] => [4,3,7,5,6,2,8,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[4,5,6,2,8,7,3,1] => [3,7,6,4,5,1,8,2] => [5,3,4,6,8,2,7,1] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[4,5,6,1,8,7,3,2] => [6,3,7,4,5,1,8,2] => [4,5,3,6,8,2,7,1] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[4,5,6,3,1,8,7,2] => [3,6,7,4,5,2,8,1] => [5,4,3,6,8,1,7,2] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[4,5,3,7,6,1,8,2] => [6,7,5,4,3,8,2,1] => [5,4,7,8,1,6,2,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,5,1,7,3,8,6,2] => [5,6,8,4,1,7,2,3] => [6,5,4,8,3,7,2,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,3,2,1,6,4,7,8] => [2,3,5,6,1,4,7,8] => [6,2,3,5,4,1,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[4,6,1,7,5,3,2,8] => [6,3,5,4,7,1,2,8] => [3,6,4,7,5,2,1,8] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[4,2,6,3,1,7,8,5] => [3,6,4,1,8,2,7,5] => [7,3,4,2,6,5,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,6,2,1,7,4,5,8] => [2,6,3,7,4,1,5,8] => [3,2,7,6,1,5,4,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[3,5,7,2,8,6,4,1] => [4,6,3,8,5,7,2,1] => [5,3,6,4,8,7,1,2] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[2,4,7,1,3,6,5,8] => [7,2,1,4,6,3,5,8] => [2,4,1,6,7,5,3,8] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[5,1,6,2,7,4,3,8] => [5,6,4,7,1,2,3,8] => [6,5,7,4,3,2,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[5,2,1,6,4,3,7,8] => [2,5,4,6,1,3,7,8] => [5,2,6,4,3,1,7,8] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[5,4,2,6,3,1,7,8] => [3,6,4,5,1,2,7,8] => [6,3,4,5,2,1,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[5,4,1,6,2,7,3,8] => [4,5,6,7,2,3,1,8] => [7,6,5,4,2,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,6,1,7,5,4,8,2] => [6,8,3,5,7,1,4,2] => [5,3,7,8,6,4,1,2] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[2,6,1,5,4,3,7,8] => [6,2,4,5,1,3,7,8] => [2,4,6,5,3,1,7,8] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[3,1,6,2,5,4,7,8] => [3,6,1,5,2,4,7,8] => [5,3,2,6,4,1,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[5,4,3,1,6,2,7,8] => [3,4,5,6,1,2,7,8] => [6,5,3,4,2,1,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[7,3,1,6,5,4,8,2] => [3,7,8,5,6,2,4,1] => [6,5,3,8,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,2,8,1,5,4,3,6] => [8,7,4,5,1,3,2,6] => [4,5,8,7,3,1,6,2] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[3,8,2,6,5,4,1,7] => [4,5,3,6,8,2,1,7] => [6,3,8,4,5,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,2,7,6,8,4,1,3] => [4,8,2,5,1,7,6,3] => [7,4,1,5,3,8,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,3,2,6,7,4,1,8] => [4,3,7,5,1,6,2,8] => [4,6,3,5,2,7,1,8] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[4,3,7,2,5,6,1,8] => [6,7,4,3,2,5,1,8] => [6,4,7,1,2,3,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[6,7,1,4,3,2,5,8] => [7,3,4,1,2,6,5,8] => [3,6,4,2,1,7,5,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[3,4,2,6,7,1,5,8] => [7,4,3,2,1,6,5,8] => [3,4,6,1,2,7,5,8] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[3,7,1,6,5,2,4,8] => [7,5,3,2,6,1,4,8] => [3,5,7,1,6,4,2,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[3,5,6,2,4,7,1,8] => [7,6,3,2,5,4,1,8] => [3,5,6,1,7,2,4,8] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[3,5,8,7,2,4,6,1] => [6,7,3,2,5,4,8,1] => [5,3,6,1,8,2,7,4] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,7,8,2,5,4,3,6] => [1,8,4,5,2,3,7,6] => [1,4,7,5,3,2,8,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[2,5,6,4,7,1,3,8] => [7,2,1,6,5,4,3,8] => [2,5,1,6,7,3,4,8] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[4,7,1,6,3,5,2,8] => [7,5,6,4,3,1,2,8] => [4,6,5,7,1,3,2,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[4,5,3,8,7,2,6,1] => [6,7,5,4,3,2,8,1] => [5,4,6,8,1,2,7,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,4,5,3,7,8,2,6] => [1,8,5,4,3,2,7,6] => [1,4,5,7,2,3,8,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,4,8,2,7,6,3,5] => [1,8,6,4,3,7,2,5] => [1,4,6,8,2,7,5,3] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[4,7,3,5,1,8,6,2] => [5,6,8,4,2,7,1,3] => [6,5,4,8,2,7,3,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,4,2,1,7,8,3,6] => [2,4,5,8,3,1,7,6] => [7,2,5,4,1,3,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,4,6,7,3,5,8,2] => [1,8,7,4,3,6,5,2] => [1,4,6,7,2,8,3,5] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[2,3,1,8,4,7,6,5] => [3,2,1,8,6,7,4,5] => [2,3,1,6,8,7,5,4] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,7,4,8,6,5,1,3] => [5,2,1,6,8,7,4,3] => [2,8,1,6,5,7,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,5,1,4,7,3,2] => [5,3,6,1,8,7,4,2] => [6,8,3,2,5,7,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,5,4,1,7,3,6,2] => [4,5,8,6,7,2,3,1] => [8,7,4,5,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,2,8,5,4,1] => [4,5,8,7,6,2,1,3] => [8,6,4,5,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,8,2,7,5,4] => [1,8,6,5,7,3,2,4] => [1,5,7,8,6,3,4,2] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,7,5,3,8,2,6,4] => [1,8,5,7,6,2,4,3] => [1,5,8,6,7,4,2,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,7,5,1,3,8,6,4] => [5,2,1,7,6,8,4,3] => [2,8,1,5,7,6,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,8,7,6,1,5] => [6,4,3,2,1,7,8,5] => [3,4,8,1,2,6,7,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[5,1,4,3,2,7,8,6] => [5,3,4,1,2,8,7,6] => [3,5,4,2,1,7,8,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[3,7,8,5,2,4,1,6] => [4,5,3,2,8,1,7,6] => [4,3,7,1,5,2,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,6,8,2,5,7,4,3] => [1,8,4,7,2,6,5,3] => [1,4,7,6,3,8,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[4,1,7,6,3,2,8,5] => [4,3,6,1,7,8,5,2] => [4,8,3,2,7,6,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,3,1,8,4] => [3,5,7,6,8,4,1,2] => [8,6,3,7,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,2,7,4,6,3] => [1,8,6,7,5,4,2,3] => [1,5,7,6,8,2,4,3] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[5,6,4,8,3,7,2,1] => [2,7,8,6,5,4,3,1] => [6,2,5,7,8,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[6,7,2,4,3,8,1,5] => [8,7,4,2,1,6,3,5] => [4,6,7,2,3,8,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,8,2,7,4,5,3,6] => [1,8,5,7,4,3,2,6] => [1,5,8,7,2,3,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,5,4,8,3,6,1,7] => [6,2,8,5,4,3,1,7] => [2,6,5,8,1,3,4,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,3,1,8,5,6,4,7] => [3,2,1,6,8,5,4,7] => [2,3,1,8,6,4,5,7] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[3,8,5,6,4,7,1,2] => [7,1,3,6,8,5,4,2] => [3,1,7,8,6,2,4,5] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[5,7,3,6,4,8,1,2] => [8,1,7,6,5,3,4,2] => [5,1,6,7,8,3,2,4] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[5,7,2,4,3,6,1,8] => [6,7,4,2,5,3,1,8] => [5,4,6,2,7,1,3,8] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[4,6,2,7,1,5,3,8] => [7,6,5,4,1,2,3,8] => [4,5,6,7,3,2,1,8] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[4,7,1,6,2,5,3,8] => [7,6,5,4,2,1,3,8] => [4,5,6,7,2,3,1,8] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[4,7,1,5,3,6,2,8] => [7,6,5,4,1,3,2,8] => [4,5,6,7,3,1,2,8] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,8,5,6,3,4,2,7] => [1,4,6,3,8,5,2,7] => [1,8,4,2,6,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,6,4,7,2,3] => [1,7,2,6,8,5,4,3] => [1,7,2,8,6,3,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,7,1,6,4,8,2,3] => [7,8,2,6,5,1,4,3] => [6,5,1,7,8,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,7,1,4,2,8,5,6] => [7,4,3,1,8,5,2,6] => [3,4,8,2,7,1,6,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,6,5,8,3,7,1,2] => [7,1,8,4,6,5,3,2] => [6,1,4,7,8,2,3,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,4,2,7,1,8,5,6] => [7,4,3,2,8,5,1,6] => [3,4,8,1,7,2,6,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[2,4,3,8,1,7,5,6] => [8,2,4,3,7,5,1,6] => [2,4,7,1,8,3,6,5] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[2,7,1,8,3,6,4,5] => [7,2,8,6,4,3,1,5] => [2,7,6,8,1,4,5,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,2,8,7,4,6,3,5] => [1,2,6,7,3,4,8,5] => [1,2,8,6,4,5,7,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,7,4,8,6,1,5,2] => [6,5,3,8,4,7,1,2] => [3,6,8,5,1,7,4,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[5,1,2,8,7,6,3,4] => [5,1,6,3,2,7,8,4] => [8,1,5,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,8,2,6,3,1] => [3,6,8,4,5,1,7,2] => [5,4,3,6,7,2,8,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[4,5,6,8,2,7,3,1] => [3,7,8,4,5,6,1,2] => [5,4,3,6,7,8,2,1] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[5,2,7,8,3,6,4,1] => [4,6,5,8,3,1,7,2] => [7,5,6,4,1,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,6,7,8,2,5,3,1] => [3,5,8,4,1,6,7,2] => [5,4,3,6,2,7,8,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[3,4,7,5,8,6,2,1] => [2,6,3,4,8,7,1,5] => [3,2,4,8,6,7,5,1] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[3,6,7,4,8,5,2,1] => [2,5,3,8,7,6,1,4] => [3,2,7,5,6,8,4,1] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[2,7,5,3,8,6,4,1] => [4,2,6,5,8,7,3,1] => [2,8,4,6,5,7,1,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,8,3,2,6,4,1] => [4,3,6,8,5,1,7,2] => [5,6,3,4,7,2,8,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[3,6,8,4,2,7,5,1] => [5,4,3,7,8,6,1,2] => [3,6,7,4,5,8,2,1] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,5,8,2,7,3,6,4] => [1,8,7,6,5,3,2,4] => [1,5,6,7,8,3,4,2] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[5,8,4,7,2,3,6,1] => [6,7,2,8,5,3,4,1] => [7,6,1,5,8,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,4,8,1,5,3,2] => [8,3,5,7,1,6,4,2] => [3,7,5,6,4,8,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,2,8,3,6,4,1] => [4,6,7,8,5,1,3,2] => [7,6,5,4,8,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,4,2,8,6,1,5,3] => [6,4,8,5,3,7,1,2] => [5,8,4,6,1,7,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,7,4,5,8,6,2,1] => [2,6,3,8,1,7,5,4] => [3,2,8,6,4,7,1,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,7,3,4,8,5,2,1] => [2,5,8,1,7,6,4,3] => [7,2,5,3,6,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,6,4,7,8,5,2,1] => [2,5,3,8,6,1,7,4] => [3,2,7,5,6,4,8,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[7,4,2,5,8,6,3,1] => [3,6,4,8,2,7,5,1] => [8,3,6,4,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,2,5,7,3,1] => [3,7,4,8,1,6,5,2] => [7,3,6,4,2,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,5,8,3,4,6,2,1] => [2,6,8,3,7,4,5,1] => [8,2,6,1,7,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,3,4,5,8,2] => [6,8,7,3,4,1,5,2] => [8,6,7,1,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,3,4,5,1,7] => [5,2,8,3,4,6,1,7] => [2,6,5,1,3,8,4,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[6,1,2,7,4,5,8,3] => [6,1,8,7,4,2,5,3] => [8,1,6,7,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,7,4,3,8,1] => [8,6,4,7,5,2,3,1] => [4,6,7,5,8,2,1,3] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[2,6,7,3,8,5,4,1] => [4,2,5,8,7,6,3,1] => [2,7,5,4,6,8,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,5,7,8,4,3,6,1] => [6,2,4,8,5,3,7,1] => [2,5,6,4,7,1,8,3] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[2,12,1,3,4,5,6,7,8,9,10,11] => [12,2,1,3,4,5,6,7,8,9,10,11] => [2,12,1,3,4,5,6,7,8,9,10,11] => [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,6,8,4,7,2,3,5] => [1,7,2,8,3,6,4,5] => [1,7,2,6,4,8,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,4,5,7,8,2,6,3] => [1,8,6,4,5,2,7,3] => [1,4,5,6,7,3,8,2] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[3,4,5,7,6,8,1,2] => [8,1,3,4,5,7,6,2] => [3,1,4,5,7,8,2,6] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,4,5,8,6,2,3,7] => [1,6,2,4,5,8,3,7] => [1,4,2,5,8,6,3,7] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,4,5,6,8,2,7,3] => [1,8,7,4,5,6,2,3] => [1,4,5,6,7,8,3,2] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,2,5,8,3,4,7,6] => [1,2,8,3,5,7,4,6] => [1,2,5,3,7,8,6,4] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,6,7,2,3,5,4,8] => [1,7,2,5,3,6,4,8] => [1,5,2,6,4,7,3,8] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,2,5,7,3,6,8,4] => [1,2,7,8,5,3,6,4] => [1,2,7,5,8,4,3,6] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,6,8,2,3,5,7,4] => [1,8,2,7,3,6,5,4] => [1,6,2,7,4,8,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,6,8,4,5,2,3,7] => [1,5,2,8,4,6,3,7] => [1,6,2,5,3,8,4,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,6,8,4,5,2,7,3] => [1,5,7,8,4,6,2,3] => [1,7,6,5,2,8,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,8,2,3,4,7,5] => [1,8,2,3,7,6,4,5] => [1,6,2,3,7,8,5,4] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => [1,6,2,7,3,8,5,4] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[7,8,1,2,3,4,6,5] => [8,1,2,3,6,4,7,5] => [6,1,2,3,7,5,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[7,8,1,2,3,6,4,5] => [8,1,2,6,4,3,7,5] => [6,1,2,7,3,5,8,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,6,7,2,3,8,5,4] => [1,7,2,5,8,6,3,4] => [1,6,2,7,5,8,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[4,2,1,6,5,3,8,7] => [2,4,5,1,6,3,8,7] => [6,2,4,3,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,2,4,3,1,8,7,5] => [3,4,6,1,7,2,8,5] => [8,4,3,2,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,3,5,1,8,7] => [5,4,6,2,3,1,8,7] => [5,6,4,2,1,3,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[2,1,6,4,3,8,7,5] => [2,1,4,6,7,3,8,5] => [2,1,8,4,6,5,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,8,2,1,4,3,7,5] => [2,8,4,1,7,6,3,5] => [4,2,6,3,7,8,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[6,8,2,4,3,1,7,5] => [3,4,8,1,7,6,2,5] => [6,4,3,2,7,8,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[2,1,8,4,6,5,3,7] => [2,1,5,6,8,3,4,7] => [2,1,8,6,5,4,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,4,8,5,7,3] => [2,1,7,6,8,4,5,3] => [2,1,7,8,6,4,3,5] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[4,6,5,2,8,3,7,1] => [7,5,6,4,8,3,2,1] => [4,7,6,8,5,1,2,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,2,6,3,5,8,7,1] => [7,4,6,2,3,5,8,1] => [4,8,6,2,1,3,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,2,4,3,6,5,1,7] => [5,6,4,1,8,3,2,7] => [6,4,8,3,5,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,1,4,6,5,3,7] => [2,8,5,1,6,4,3,7] => [5,2,8,3,6,1,4,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,2,1,8,7,4,3,5] => [2,6,4,7,3,1,8,5] => [6,2,8,4,1,5,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,2,1,8,4,3,7,5] => [2,6,4,8,7,1,3,5] => [6,2,8,4,7,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,4,8,5,2,1,7,3] => [2,5,8,7,6,1,3,4] => [8,2,5,6,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,8,6,7,3,5] => [2,1,7,4,3,8,6,5] => [2,1,4,8,3,7,5,6] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[8,4,6,2,1,5,3,7] => [2,6,5,8,1,4,3,7] => [6,2,8,5,4,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,1,6,8,4,3,7,5] => [2,1,4,8,7,6,3,5] => [2,1,6,4,7,8,5,3] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[4,8,6,2,1,7,3,5] => [2,6,8,4,1,7,3,5] => [6,2,4,8,3,7,5,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,8,5,3,1,4,6,7] => [3,2,5,1,8,4,6,7] => [2,8,3,1,5,4,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,8,4,3,5,1,6] => [5,7,4,8,3,1,2,6] => [7,5,8,4,1,3,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,7,3,8,4,2,5,1] => [5,4,8,7,3,6,2,1] => [6,7,4,5,1,8,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,7,8,4,3,5,2,6] => [1,5,4,8,3,2,7,6] => [1,5,7,4,2,3,8,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[7,4,8,1,5,6,2,3] => [8,6,2,7,1,5,4,3] => [6,8,1,7,4,2,3,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,7,3,8,4,5,2,1] => [2,5,7,8,4,6,3,1] => [7,2,6,5,1,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,4,1,3,8,2,5] => [4,7,2,8,1,6,3,5] => [7,6,1,4,3,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,2,7,1,8,4,3,5] => [7,6,4,8,3,2,1,5] => [6,7,8,4,1,3,5,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[2,6,7,4,8,3,1,5] => [3,2,8,7,1,6,4,5] => [2,6,3,7,4,8,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[7,8,1,3,6,2,4,5] => [8,6,1,2,4,3,7,5] => [6,7,2,3,1,5,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[2,6,7,1,8,5,3,4] => [7,2,5,3,8,6,1,4] => [2,6,7,1,5,8,4,3] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[2,6,7,8,5,3,4,1] => [4,2,5,3,8,6,7,1] => [2,6,4,1,5,7,8,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[6,2,7,8,4,5,3,1] => [3,5,6,8,4,1,7,2] => [7,6,3,5,1,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,7,2,8,4,5,6,3] => [1,7,6,8,4,5,2,3] => [1,7,8,6,2,3,5,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,2,4,7,3,8,5] => [6,1,7,2,8,4,3,5] => [8,1,7,3,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,7,3,2,6,8] => [4,3,7,1,5,2,6,8] => [4,5,3,2,7,1,6,8] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[4,7,1,8,3,5,2,6] => [7,5,8,4,3,2,1,6] => [5,7,4,8,1,2,6,3] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[4,1,7,8,6,2,3,5] => [4,6,2,1,3,8,7,5] => [7,4,1,3,2,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,6,5,7,8,3,4,2] => [1,4,8,3,6,5,7,2] => [1,6,4,2,7,3,8,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,1,8,7,6,2,3,5] => [4,6,2,1,3,7,8,5] => [8,4,1,3,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,7,3,5,2,6] => [8,5,7,4,3,2,1,6] => [4,7,5,8,1,2,6,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,8,1,6,3,2,5,7] => [8,3,6,4,2,1,5,7] => [3,6,4,8,1,5,2,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,5,8,3,4,7,6,2] => [1,6,7,2,5,8,4,3] => [1,7,5,3,8,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,8,5,2,4,1,6,3] => [4,5,8,3,6,1,7,2] => [7,5,4,1,6,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,1,2,3,5,4,7,6] => [8,1,2,5,3,7,4,6] => [5,1,2,7,4,8,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[6,7,2,4,3,1,5,8] => [3,4,7,1,2,6,5,8] => [6,4,3,2,1,7,5,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[3,1,2,6,7,5,8,4] => [3,1,2,8,7,6,5,4] => [3,1,2,6,7,8,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[7,6,2,4,3,1,5,8] => [3,4,6,1,2,7,5,8] => [7,4,3,2,1,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,5,7,3,4,6,8,2] => [1,8,7,3,5,4,6,2] => [1,5,7,2,8,3,4,6] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[8,7,2,5,3,6,1,4] => [6,7,5,1,2,3,8,4] => [6,5,8,3,4,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,1,2,3,7,6,4,8] => [5,1,2,6,3,7,4,8] => [7,1,2,5,4,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,1,2,3,8,6,4,7] => [5,1,2,6,3,8,4,7] => [8,1,2,5,4,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,2,4,7,1,3] => [7,5,1,2,6,8,4,3] => [5,8,2,3,7,6,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,3,1,8,4] => [3,5,6,7,4,8,2,1] => [8,7,3,5,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,2,3,8,6,1] => [6,5,2,8,1,7,3,4] => [6,8,1,5,4,7,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,3,7,4,5,1,6] => [5,8,2,7,4,1,3,6] => [8,5,1,7,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,2,5,1,6] => [5,3,7,8,2,1,4,6] => [7,8,3,5,2,4,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,4,6,3,1,2,8,7] => [3,1,6,5,4,2,8,7] => [5,1,3,6,2,4,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,6,2,3,1,5,8,7] => [3,6,2,4,1,5,8,7] => [4,3,1,6,2,5,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[7,3,4,6,8,5,1,2] => [5,1,8,2,7,4,6,3] => [8,1,5,3,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,2,8,6,1,5] => [6,3,8,4,2,7,1,5] => [4,6,3,8,1,7,5,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,7,4,5,1,8,6,2] => [5,6,3,8,2,7,1,4] => [6,3,8,5,2,7,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,8,2,6,7,4,5,1] => [5,8,3,7,4,2,6,1] => [5,3,8,7,1,2,4,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,8,1,3,4,2,7,5] => [8,4,1,3,7,6,2,5] => [4,6,2,1,7,8,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[2,1,7,6,8,5,3,4] => [2,1,5,3,8,7,6,4] => [2,1,7,3,5,8,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[4,7,2,3,8,5,1,6] => [5,8,1,4,7,2,3,6] => [5,4,2,8,7,3,6,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,6,1,4,8,5,2,3] => [6,5,1,2,7,8,4,3] => [7,8,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,2,3,8,4,5,1,7] => [5,6,2,8,4,3,1,7] => [8,6,1,5,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,5,7,1,4,6] => [7,8,2,1,3,4,5,6] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,3,5,1,7,2] => [5,7,8,6,3,4,1,2] => [8,6,5,7,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,3,6,7,1,2] => [7,1,8,5,4,3,6,2] => [7,1,5,8,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,5,1,8,4,6,7,2] => [5,7,3,8,1,4,6,2] => [7,3,8,5,4,1,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,1,8,4,5,2,7] => [6,5,3,8,4,1,2,7] => [3,6,8,5,1,4,2,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[4,6,8,3,5,2,7,1] => [7,5,8,4,3,6,2,1] => [5,6,4,7,1,8,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[5,7,8,3,2,4,1,6] => [4,3,8,2,5,1,7,6] => [4,5,3,1,7,2,8,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[4,8,2,3,5,6,1,7] => [6,8,2,4,3,5,1,7] => [6,4,1,8,2,3,5,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,8,2,3,1,4,5,7] => [3,8,2,1,4,6,5,7] => [6,3,1,2,4,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,2,7,4,8,3,1,6] => [3,8,5,7,1,2,4,6] => [8,3,5,7,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,4,1,8,7,5] => [4,3,6,2,7,1,8,5] => [4,8,3,1,6,5,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,8,5,1,6] => [5,8,1,3,7,2,4,6] => [8,5,2,1,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,4,1,8,2,5,6] => [4,7,3,8,1,5,2,6] => [7,3,8,4,2,1,6,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,7,4,8,1,2,5] => [8,1,6,7,2,3,4,5] => [6,1,8,7,4,5,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,8,3,2,4,5,7,6] => [1,3,8,2,4,7,5,6] => [1,7,3,2,4,8,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[8,3,5,2,7,4,1,6] => [4,7,5,8,1,2,3,6] => [8,5,7,4,3,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,8,1,3,6,5] => [8,7,1,2,6,3,4,5] => [6,7,2,3,8,5,4,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,2,8,7,5,6,3,4] => [1,2,6,3,7,5,8,4] => [1,2,8,3,6,4,7,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,8,6,7,5,2,4] => [3,5,1,2,7,8,6,4] => [8,3,2,1,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,4,8,2,3,7] => [1,8,2,5,6,4,3,7] => [1,5,2,8,6,3,4,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[5,2,6,3,8,1,4,7] => [8,5,6,1,2,3,4,7] => [5,8,6,3,4,2,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,8,4,3,1,7,5] => [3,4,8,6,7,2,1,5] => [8,4,3,6,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,6,3,7,2] => [1,7,6,8,5,4,3,2] => [1,6,7,5,8,2,3,4] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[3,8,2,5,1,7,6,4] => [5,8,3,6,2,7,1,4] => [5,3,8,6,2,7,4,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,3,8,2,5,1,6,7] => [5,8,4,3,2,1,6,7] => [5,4,8,1,2,3,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,2,4,3,5,1,7,6] => [5,8,4,2,3,7,1,6] => [5,4,7,2,1,8,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[8,2,1,4,6,5,7,3] => [2,8,7,1,6,4,5,3] => [6,2,7,3,8,4,1,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[4,1,8,5,2,7,6,3] => [4,5,8,1,6,7,3,2] => [8,5,4,3,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,5,7,2,8,4] => [6,7,3,8,1,5,2,4] => [7,3,8,6,4,1,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,1,8,2,3,7,5,6] => [4,8,2,1,7,5,3,6] => [7,4,1,3,8,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,3,8,7,2,1,4,6] => [2,7,5,1,3,4,8,6] => [5,2,8,3,4,1,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,4,7,5,8,2,3,1] => [3,8,2,6,7,4,5,1] => [6,3,1,8,7,4,2,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,7,8,4,2,6,3,1] => [3,6,4,8,5,1,7,2] => [6,3,5,4,7,2,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,6,1,4,7,8,3,2] => [6,3,8,1,5,4,7,2] => [5,6,3,2,7,1,8,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[5,6,3,7,4,8,2,1] => [2,8,6,7,5,3,4,1] => [5,2,7,6,8,3,1,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,3,2,8,6,7,4,1] => [4,3,7,5,1,8,6,2] => [4,8,3,5,2,7,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,4,8,2,6,7,3,1] => [3,7,8,5,4,1,6,2] => [7,5,3,8,1,4,2,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,8,5,7,2,3,1] => [3,7,2,6,8,4,5,1] => [7,3,1,8,6,4,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,6,8,5,7,2,3,1] => [3,7,2,4,8,6,5,1] => [4,3,1,7,6,8,2,5] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[5,6,8,2,4,7,3,1] => [3,7,8,1,5,6,4,2] => [6,5,3,2,7,8,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,3,8,4,7,2,1] => [2,7,6,8,5,3,4,1] => [6,2,7,5,8,3,1,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[4,6,3,2,8,7,5,1] => [5,3,7,4,6,1,8,2] => [4,5,3,8,6,2,7,1] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[5,3,6,8,2,7,4,1] => [4,7,8,5,1,6,3,2] => [7,5,4,6,3,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,3,7,2,8,6,5,1] => [5,6,4,3,8,7,2,1] => [6,4,8,1,5,7,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,3,2,7,6,8,4,1] => [4,3,8,5,1,7,6,2] => [4,7,3,5,2,8,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,7,3,8,5,2,4,1] => [4,5,8,3,7,6,2,1] => [7,5,4,1,6,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,2,7,5,1,4,8,3] => [5,7,6,2,8,3,4,1] => [8,6,7,2,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,2,4,6,3,1] => [3,6,8,1,5,4,7,2] => [6,5,3,2,7,1,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[2,5,8,4,3,7,6,1] => [6,2,4,7,5,8,1,3] => [2,5,7,4,8,6,3,1] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[2,6,8,4,7,3,5,1] => [5,2,7,8,3,6,4,1] => [2,7,6,5,3,8,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,7,4,8,6,2,1,5] => [2,6,3,8,4,7,1,5] => [3,2,8,6,1,7,5,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,5,4,8,2,7,6,1] => [6,7,3,5,4,8,1,2] => [5,3,7,8,1,6,4,2] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,3,7,5,8,6,2,1] => [2,6,4,3,8,7,1,5] => [4,2,8,1,6,7,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,5,7,3,8,6,2,1] => [2,6,8,4,5,7,1,3] => [5,2,4,6,8,7,3,1] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[3,5,6,8,4,7,2,1] => [2,7,3,8,5,6,4,1] => [3,2,6,5,7,8,1,4] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[6,3,1,8,7,5,4,2] => [3,6,4,5,7,2,8,1] => [8,3,4,6,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,1,7,6,3,2] => [4,3,8,6,5,7,2,1] => [4,6,3,5,8,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,8,2,5,6,3,4,7] => [1,8,6,3,2,5,4,7] => [1,6,8,2,4,3,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,2,8,4,5,1,3,6] => [5,7,1,8,4,3,2,6] => [8,7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,5,6,2,4,8] => [1,6,3,2,7,5,4,8] => [1,3,7,2,6,4,5,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[7,5,8,3,2,1,6,4] => [2,3,8,6,7,1,5,4] => [6,2,3,8,7,5,1,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,5,8,1,2,6,3,4] => [8,1,6,3,7,2,5,4] => [6,1,8,2,7,5,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,2,5,7,1,4,8,3] => [7,6,8,1,2,5,4,3] => [7,8,6,3,4,1,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,6,8,5,2,4,1] => [4,5,8,3,7,2,6,1] => [8,5,4,1,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,5,4,6,3,1] => [3,2,6,5,8,4,7,1] => [2,6,3,7,5,1,8,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[2,6,5,8,3,4,1,7] => [4,2,8,3,6,5,1,7] => [2,6,4,1,8,3,5,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,6,5,7,3,4,1,8] => [4,2,7,3,6,5,1,8] => [2,6,4,1,7,3,5,8] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[6,2,5,8,4,1,3,7] => [4,8,2,6,1,5,3,7] => [8,4,1,6,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,8,3,7,4,5] => [6,1,8,7,4,2,3,5] => [8,1,6,7,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,7,8,1,3,4] => [8,6,1,3,2,5,7,4] => [6,7,2,1,4,3,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,6,2,7,5,8,4,3] => [1,6,4,8,7,2,5,3] => [1,6,8,4,7,5,2,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,2,5,3,8,4,7,1] => [7,6,5,8,2,3,4,1] => [6,7,8,5,3,2,1,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,1,4,2,3,7,8,6] => [5,4,2,1,3,8,7,6] => [4,5,1,3,2,7,8,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[5,1,6,3,8,2,7,4] => [5,8,6,7,1,3,2,4] => [8,5,7,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,3] => [2,1,9,4,5,6,7,8,3] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,4,9,8,7,6,5] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,7,8,6] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,5,4,7,6,9,8] => [1,2,3,5,4,7,6,9,8] => [1,2,3,5,4,7,6,9,8] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,10,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,4,5,6,7,8,9,3] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,10,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,5,6,7,8,9,4] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,4,10,9,8,7,6,5] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,6,7,8,9,5] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,8,9,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,4,3,7,6,5,10,9,8] => [1,2,4,3,6,7,5,9,10,8] => [1,2,4,3,7,6,5,10,9,8] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,3,2,5,4,7,6,10,9,8] => [1,3,2,5,4,7,6,9,10,8] => [1,3,2,5,4,7,6,10,9,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,4,3,6,5,8,7,10,9] => [1,2,4,3,6,5,8,7,10,9] => [1,2,4,3,6,5,8,7,10,9] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,2,3,4,6,5,8,7,10,9] => [1,2,3,4,6,5,8,7,10,9] => [1,2,3,4,6,5,8,7,10,9] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,7,4,1,6,3,8] => [4,7,5,6,3,2,1,8] => [7,4,6,5,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,8,3,4,1,6,7,2] => [4,7,8,3,5,1,6,2] => [7,5,4,1,8,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,7,8,4,5,6,2,3] => [1,6,2,8,4,5,7,3] => [1,7,2,6,3,4,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,2,3,7,1,6,4,8] => [7,5,2,6,3,1,4,8] => [5,7,1,6,3,4,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[8,7,3,2,1,6,5,4] => [2,3,7,5,6,1,8,4] => [5,2,3,8,6,4,7,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[9,2,1,4,3,6,5,8,7] => [2,9,4,1,6,3,8,5,7] => [4,2,6,3,8,5,9,7,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[2,4,8,6,3,1,7,5] => [3,2,6,4,8,7,5,1] => [2,4,3,8,6,7,1,5] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[8,1,4,5,3,2,7,6] => [8,3,5,1,4,7,2,6] => [3,7,5,2,1,8,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[3,5,6,2,1,7,8,4] => [2,6,3,8,5,1,7,4] => [3,2,6,5,7,4,8,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[3,4,6,2,7,8,1,5] => [8,6,3,4,1,2,7,5] => [3,4,6,7,2,5,8,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[8,1,4,6,3,7,2,5] => [8,7,6,1,2,4,3,5] => [6,7,8,3,4,2,5,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[3,5,6,2,1,7,4,8] => [2,6,3,7,5,1,4,8] => [3,2,6,5,7,4,1,8] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[8,1,5,6,7,3,2,4] => [8,3,7,2,1,5,6,4] => [3,8,7,1,4,2,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,6,8,7,2,5] => [4,7,3,1,2,6,8,5] => [4,3,6,2,1,8,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[2,1,3,8,6,7,4,5] => [2,1,3,7,4,8,6,5] => [2,1,3,8,4,7,5,6] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[3,5,6,1,8,7,4,2] => [6,4,3,7,5,1,8,2] => [3,5,6,4,8,2,7,1] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[8,1,4,6,2,7,5,3] => [8,6,5,1,7,4,2,3] => [5,7,8,3,6,1,4,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[3,5,1,6,7,8,4,2] => [5,4,3,8,1,6,7,2] => [3,5,6,4,2,7,8,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[4,5,6,1,7,8,3,2] => [6,3,8,4,5,1,7,2] => [4,5,3,6,7,2,8,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[3,5,1,6,7,4,2,8] => [5,4,3,7,1,6,2,8] => [3,5,6,4,2,7,1,8] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[6,4,2,7,8,5,1,3] => [5,4,2,8,6,1,7,3] => [5,7,1,4,6,3,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[6,1,4,8,7,5,2,3] => [6,5,2,1,7,4,8,3] => [6,8,1,3,5,2,7,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,6,4,8,7,5,2,3] => [1,5,2,7,6,3,8,4] => [1,8,2,5,6,4,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,6,2,4,7,3,5] => [1,6,8,3,2,7,4,5] => [1,8,6,2,4,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,1,4,8,3,5] => [2,6,7,3,1,8,4,5] => [8,2,7,1,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,2,4,8,3,5] => [6,1,7,3,2,8,4,5] => [8,1,7,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,3,4,8,2,5] => [6,7,2,3,1,8,4,5] => [8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,3,4,7,2,5] => [8,7,6,3,2,1,4,5] => [6,7,8,1,3,5,4,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[7,1,2,5,4,8,3,6] => [7,1,8,5,2,3,4,6] => [7,1,5,8,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,7,1,5,4,8,3,6] => [7,2,8,5,1,3,4,6] => [2,7,5,8,4,3,6,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,8,6,1,4,7,3,5] => [6,2,8,3,1,7,4,5] => [2,8,6,1,4,7,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,5,4,8,3,6] => [1,2,8,5,7,3,4,6] => [1,2,5,8,7,4,6,3] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[3,2,7,5,4,8,1,6] => [8,3,2,5,7,1,4,6] => [3,5,1,8,7,4,6,2] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[2,3,7,5,4,8,1,6] => [8,2,3,5,7,1,4,6] => [2,3,5,8,7,4,6,1] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[6,8,3,2,4,7,1,5] => [7,3,8,2,1,6,4,5] => [6,7,3,1,4,8,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[3,7,2,5,4,8,1,6] => [8,7,3,5,2,1,4,6] => [3,5,7,8,2,4,6,1] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,5,8,4,7,3,2,6] => [1,3,7,8,5,2,4,6] => [1,7,3,5,8,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,8,2,4,7,3,1,6] => [3,7,8,1,5,2,4,6] => [7,5,3,2,8,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,4,3,7,5,1,2] => [5,1,4,7,8,6,2,3] => [6,1,7,4,5,8,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[8,7,5,6,2,1,4,3] => [2,6,4,1,7,5,8,3] => [4,2,8,3,6,1,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,8,5,4,7,3,2,6] => [1,3,7,5,8,2,4,6] => [1,7,3,8,5,4,6,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,7,3,5,4,8,2,6] => [1,8,7,5,3,2,4,6] => [1,5,7,8,3,4,6,2] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[8,6,3,1,4,7,2,5] => [3,6,8,1,2,7,4,5] => [8,6,3,2,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,2,7,5,1,3] => [5,4,2,7,6,8,1,3] => [5,8,1,4,7,6,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,4,1,7,2,5,3] => [4,6,8,5,2,7,3,1] => [8,5,4,6,2,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,7,8,5,6] => [4,3,1,2,8,5,7,6] => [3,4,2,1,7,5,8,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,4,3,2,7,8,5,6] => [1,3,4,2,8,5,7,6] => [1,4,3,2,7,5,8,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[8,2,5,4,7,3,1,6] => [3,7,8,5,1,2,4,6] => [7,5,3,8,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,3,5,4,8,1,6] => [8,7,2,5,3,1,4,6] => [5,7,1,8,3,4,6,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[3,2,1,4,7,8,5,6] => [2,3,1,4,8,5,7,6] => [3,2,1,4,7,5,8,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[8,1,7,6,4,3,5,2] => [8,5,4,6,3,7,1,2] => [4,6,8,5,1,7,3,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,1,8,6,4,3,5,2] => [7,5,4,6,3,8,1,2] => [4,7,8,5,1,6,3,2] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,4,2,5,1,6,3,8] => [5,4,7,6,3,1,2,8] => [6,7,4,5,1,3,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[7,3,6,5,2,1,8,4] => [2,5,6,7,8,4,3,1] => [8,2,7,6,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,8,1,3,7,6] => [8,4,1,5,2,7,3,6] => [4,7,2,5,3,8,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[5,8,2,6,4,1,3,7] => [4,6,2,8,5,1,3,7] => [6,5,1,4,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,4,2,5,1,8,3,7] => [5,4,6,8,3,1,2,7] => [6,8,5,4,1,3,2,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,5,8,6,3,1,4,7] => [3,2,6,1,5,8,4,7] => [2,5,3,1,8,6,4,7] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[2,3,6,8,1,5,7,4] => [8,2,3,7,1,6,5,4] => [2,3,6,7,4,8,1,5] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[6,3,8,5,2,7,1,4] => [7,5,8,1,6,2,3,4] => [6,8,5,3,7,4,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,5,8,7,6,3,1,4] => [3,2,6,1,5,7,8,4] => [2,5,3,1,8,6,7,4] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[2,4,8,1,6,5,7,3] => [8,2,7,4,6,1,5,3] => [2,4,6,7,8,5,1,3] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[2,8,7,3,6,1,4,5] => [6,2,7,1,4,3,8,5] => [2,8,6,3,1,5,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,8,1,4,7,5] => [8,2,3,1,7,6,4,5] => [2,3,6,1,7,8,5,4] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[2,7,8,6,3,1,4,5] => [3,2,6,1,4,8,7,5] => [2,7,3,1,4,6,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,3,6,1,8,4,7,5] => [6,2,3,8,7,1,4,5] => [2,3,8,6,7,5,4,1] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,8,6,3,1,4,5,7] => [3,2,6,1,4,8,5,7] => [2,8,3,1,4,6,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,6,1,4,7,5,2] => [6,5,3,2,8,7,4,1] => [3,6,8,1,5,7,2,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[2,6,8,1,5,7,3,4] => [8,2,7,3,1,6,5,4] => [2,6,7,1,4,8,3,5] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[2,7,1,5,8,3,4,6] => [7,2,8,3,1,4,5,6] => [2,8,7,1,4,5,6,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,2,8,4,5] => [6,1,7,8,4,3,2,5] => [8,1,7,6,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,1,6,5,2,3] => [8,5,2,6,7,1,3,4] => [5,8,1,7,6,4,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,4,6,1,8,2,5,3] => [6,8,5,7,2,4,1,3] => [7,5,8,6,3,1,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,7,6,2,3,8,4] => [5,6,2,7,1,8,4,3] => [8,7,1,5,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,6,2,8,3,4] => [5,6,7,2,1,8,3,4] => [8,7,5,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,7,6,2,3,4] => [5,6,2,3,1,7,8,4] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,7,6,2,3,4] => [5,8,1,3,6,7,2,4] => [8,5,2,1,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,6,2,7,3,4] => [5,8,6,1,7,2,3,4] => [8,5,7,3,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,1,7,2,3,6] => [5,8,1,4,7,3,2,6] => [5,4,2,8,7,1,6,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,8,4,1,7,2,3,6] => [4,8,1,7,5,3,2,6] => [7,4,2,5,8,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,8,3,7,1,4,2] => [7,4,8,1,5,6,3,2] => [5,6,4,3,7,8,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[6,5,1,2,7,3,8,4] => [5,1,6,7,8,3,4,2] => [8,1,7,6,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,8,2,7,3,4] => [5,6,8,1,7,2,3,4] => [8,7,5,3,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,1,2,7,3,4] => [5,1,6,3,8,7,2,4] => [8,1,6,2,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,7,2,3,8,4] => [5,6,1,7,8,2,4,3] => [8,7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,1,5,2,4,6] => [8,5,7,2,1,4,3,6] => [5,8,7,2,4,1,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,8,4,2,3,6,7,5] => [1,4,2,8,7,3,6,5] => [1,7,2,4,8,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,1,7,2,3,6,8,5] => [4,7,2,1,8,3,6,5] => [8,4,1,3,7,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,3,1,7,8,6] => [3,5,2,4,1,8,7,6] => [4,3,1,5,2,7,8,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[5,6,2,7,1,4,8,3] => [7,6,8,1,5,2,4,3] => [6,7,5,3,8,4,1,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[2,6,8,3,4,7,1,5] => [7,2,8,3,1,6,4,5] => [2,7,6,1,4,8,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,3,1,8,4,5,7] => [3,2,6,8,4,1,5,7] => [2,8,3,6,1,5,4,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,7,4,8,1,6] => [8,3,5,7,2,1,4,6] => [3,8,5,7,2,4,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,6,8,4,3] => [5,1,4,8,2,7,6,3] => [5,1,7,4,3,8,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,4,2,3,7,8,6,1] => [6,4,2,5,3,8,7,1] => [4,7,1,5,2,6,8,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[6,2,3,8,4,1,7,5] => [4,8,1,6,7,3,2,5] => [8,4,2,6,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,1,5,3,8,7] => [4,2,6,5,3,1,8,7] => [2,6,4,5,1,3,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[2,5,4,1,7,6,8,3] => [4,2,5,8,3,7,6,1] => [2,7,5,4,1,8,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,8,4,2,1,5,7,3] => [2,4,8,7,3,6,5,1] => [7,2,4,6,1,8,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,1,7,3,2,4,6,8] => [5,3,7,2,1,4,6,8] => [5,7,3,1,4,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[5,3,1,7,2,6,8,4] => [3,5,7,8,2,1,6,4] => [8,7,3,5,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,6,4,8,5] => [2,3,1,6,7,8,5,4] => [3,2,1,8,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[4,2,1,6,5,8,3,7] => [2,4,8,1,6,5,3,7] => [6,2,4,3,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,2,1,8,5,7,3,6] => [2,4,7,1,8,3,5,6] => [8,2,4,3,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,6,1,4,8] => [6,3,5,1,2,7,4,8] => [3,7,5,2,4,6,1,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,2,8,6,1,4,7] => [6,3,5,1,2,8,4,7] => [3,8,5,2,4,6,1,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,8,4,7,3,6] => [2,1,7,8,5,3,4,6] => [2,1,7,5,8,4,6,3] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[4,3,1,6,2,7,5,8] => [3,4,6,2,7,1,5,8] => [7,4,3,1,6,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,4,2,1,7,8,3,5] => [2,4,6,8,1,3,7,5] => [7,2,6,4,3,5,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,3,2,1,6,7,4,8] => [2,3,5,7,1,6,4,8] => [6,2,3,5,4,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[3,2,1,4,6,8,5,7] => [2,3,1,4,8,6,5,7] => [3,2,1,4,6,8,5,7] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[5,3,2,1,6,7,8,4] => [2,3,5,8,1,6,7,4] => [6,2,3,5,4,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,6,1,4,5,7,2,3] => [6,8,1,2,4,7,5,3] => [8,6,2,3,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,4,5,7,1,2] => [7,1,3,6,4,8,5,2] => [3,1,7,8,2,6,4,5] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[5,2,8,3,7,4,6,1] => [6,5,8,7,2,4,3,1] => [7,8,5,6,3,1,2,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,2,8,5,4,7,3,1] => [3,7,6,5,8,1,4,2] => [7,3,6,8,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,8,6,3,7,4,2,5] => [1,4,7,6,3,8,2,5] => [1,8,4,7,2,6,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,6,5,7,2,3,4] => [1,7,2,3,6,8,5,4] => [1,7,2,3,8,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,2,8,4,3,6,7,1] => [7,5,4,8,2,3,6,1] => [5,7,8,4,2,1,3,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,5,3,8,4,7,2,1] => [2,7,5,6,8,4,3,1] => [6,2,8,7,5,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,2,8,4,3,7,1,6] => [7,5,4,8,2,1,3,6] => [5,7,8,4,2,3,6,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,4,3,8,1,2,7,5] => [8,1,4,6,7,3,2,5] => [4,1,8,6,7,3,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,6,3,8,4,2,1,5] => [2,4,8,6,3,7,1,5] => [8,2,4,6,1,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,8,2,3,5,1] => [5,8,2,6,3,7,4,1] => [8,5,1,6,3,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,8,4,6,1] => [6,3,5,8,2,4,7,1] => [3,7,6,5,2,1,8,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,1,7,3,8,2,6] => [4,5,8,7,2,3,1,6] => [8,7,4,5,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,3,5,2,4] => [6,5,1,2,3,7,8,4] => [5,8,2,3,4,6,7,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,6,5,7,3,4,2] => [8,4,7,3,6,1,5,2] => [4,7,6,1,8,5,2,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,8,6,2,5,3,1,4] => [3,5,6,2,1,8,7,4] => [7,5,3,1,4,6,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,7,6,4,8,3,5,1] => [5,2,8,6,3,7,4,1] => [2,8,5,6,3,7,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,1,4,8,3] => [7,5,6,1,8,3,4,2] => [6,8,7,3,5,2,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,4,7,5,6,3,8,1] => [8,2,6,4,7,5,3,1] => [2,4,6,8,7,1,3,5] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,6,7,1,4,8,2] => [7,8,3,1,5,6,4,2] => [5,3,6,2,7,8,1,4] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[4,7,2,5,6,3,8,1] => [8,7,6,4,2,5,3,1] => [4,6,7,8,2,1,3,5] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,8,5,6,2,4,7,3] => [1,6,7,2,8,5,4,3] => [1,8,7,3,6,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,8,1,3,2,7,5] => [8,3,1,6,7,4,2,5] => [3,6,2,8,7,4,5,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,4,5,2,8,6,7,3] => [1,5,7,4,2,8,6,3] => [1,5,4,8,3,7,2,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,5,7,6,2,8,1,4] => [8,6,3,1,5,7,2,4] => [3,5,6,2,8,7,4,1] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[5,4,1,2,8,6,7,3] => [4,1,5,7,3,8,6,2] => [8,1,5,4,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,6,8,4,7,5] => [3,1,2,8,7,6,4,5] => [3,1,2,6,7,8,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[3,6,7,8,4,2,1,5] => [2,4,3,8,1,6,7,5] => [3,2,6,4,1,7,8,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[6,3,8,4,2,1,7,5] => [2,4,8,6,7,1,3,5] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,1,2,6,7,4] => [8,1,3,7,5,2,6,4] => [3,1,5,7,8,4,2,6] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[3,2,8,1,5,6,7,4] => [8,3,2,7,1,5,6,4] => [3,7,1,8,4,2,5,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[3,2,7,8,4,6,1,5] => [6,3,2,8,1,4,7,5] => [3,7,1,6,4,5,8,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,1,8,3,4,6,7,2] => [5,7,8,3,1,4,6,2] => [8,7,5,1,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,6,3,4,7,5] => [8,2,6,3,7,1,4,5] => [2,6,8,1,7,5,4,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,3,4,2,1,6,5,7] => [2,4,8,3,6,1,5,7] => [6,2,4,1,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,4,7,2,5,8,1,3] => [8,7,1,6,2,4,5,3] => [6,7,2,8,4,3,1,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[2,4,5,8,3,6,1,7] => [6,2,8,4,5,3,1,7] => [2,5,4,6,8,1,3,7] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[8,6,1,3,5,2,4,7] => [6,5,1,2,3,8,4,7] => [5,8,2,3,4,6,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,1,2,6,4,3,7] => [5,1,4,8,6,3,2,7] => [5,1,8,4,6,2,3,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,6,4,3,7,8,5,1] => [5,2,4,8,6,1,7,3] => [2,5,7,4,6,3,8,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[7,4,1,8,3,2,5,6] => [4,3,7,8,1,5,2,6] => [7,8,3,4,2,1,6,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,3,1,5,4,8,2] => [3,6,7,5,1,8,4,2] => [7,5,3,8,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,4,7,6,5,8,2,3] => [1,8,2,4,6,7,5,3] => [1,4,2,6,8,7,3,5] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[2,7,8,3,4,6,1,5] => [6,2,8,3,1,4,7,5] => [2,7,6,1,4,5,8,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,6,7,4,8,1,2,5] => [8,1,3,7,2,6,4,5] => [3,1,6,7,4,8,5,2] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[5,7,3,1,6,8,4,2] => [3,7,4,8,5,2,6,1] => [7,3,5,4,8,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,6,8,1,2,4,3,5] => [8,1,4,2,3,7,6,5] => [4,1,7,3,2,8,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[2,8,5,4,6,1,7,3] => [6,2,7,5,8,4,1,3] => [2,7,6,8,5,1,4,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,7,6,4,1,2,5,3] => [4,1,6,5,3,7,8,2] => [8,1,4,5,2,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,3,6,8,1,4] => [8,7,2,1,5,3,6,4] => [5,7,1,3,8,4,2,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[3,8,5,1,6,2,7,4] => [5,8,3,6,7,2,4,1] => [5,3,8,7,6,2,1,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,3,5,7,1,4,8,2] => [7,8,6,1,3,5,4,2] => [7,6,8,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,5,2,8,4,1,3,6] => [4,8,2,5,7,3,1,6] => [8,4,1,5,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,4,1,8,2,5] => [4,6,3,7,2,8,1,5] => [7,3,8,4,1,6,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,7,8,4,1,5,6,2] => [4,8,3,6,2,5,7,1] => [4,3,7,6,1,2,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,7,2,5,1,8,4,3] => [5,7,4,8,2,6,1,3] => [6,5,7,4,2,8,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,2,6,4,5,8,3,7] => [1,2,8,6,4,5,3,7] => [1,2,6,8,3,4,5,7] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[2,6,5,1,4,8,3,7] => [5,2,6,3,8,4,1,7] => [2,8,6,1,5,3,4,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,1,5,7,3,4,6] => [2,8,7,3,1,4,5,6] => [7,2,8,1,4,5,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,4,1,3,8,6,7,5] => [4,2,1,3,7,8,6,5] => [2,4,1,3,8,7,5,6] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[8,4,3,7,1,2,6,5] => [7,1,4,8,6,2,3,5] => [6,1,7,4,8,5,3,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,8,4,2,6,7,3,5] => [1,4,8,7,2,3,6,5] => [1,8,4,7,3,5,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,6,8,3,5] => [4,7,8,1,3,2,6,5] => [8,7,4,3,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,6,3,5,8,4] => [2,7,6,8,3,1,5,4] => [7,2,8,6,3,5,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,6,1,7,3,5,8,4] => [6,2,7,8,3,1,5,4] => [2,8,7,6,3,5,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,5,3,6,8,4] => [7,1,5,8,2,3,6,4] => [7,1,8,5,4,3,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,1,2,4,6,8,5] => [3,1,7,2,8,4,6,5] => [8,1,3,2,7,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,4,8,2,6,5] => [1,8,3,7,6,2,4,5] => [1,3,6,7,8,5,4,2] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,4,6,8,2,3,7,5] => [1,8,2,4,7,6,3,5] => [1,4,2,6,7,8,5,3] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[6,1,5,8,2,3,7,4] => [6,8,2,7,1,5,3,4] => [8,6,1,7,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,2,7,5,6,4] => [1,3,8,6,7,5,2,4] => [1,6,3,8,7,2,5,4] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,1,7,2,8,5,6,4] => [3,7,1,6,8,5,2,4] => [7,3,2,8,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,6,7,3,8,1,5,4] => [8,2,7,5,1,6,3,4] => [2,5,6,7,4,8,3,1] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[3,7,2,8,6,1,5,4] => [6,8,3,5,2,7,1,4] => [5,3,6,8,2,7,4,1] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[4,7,2,8,3,6,5,1] => [5,6,7,4,8,1,3,2] => [7,6,4,8,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,1,7,4,8,3,6,2] => [5,6,8,7,1,3,4,2] => [8,7,5,6,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,5,3,6,2] => [4,6,5,1,7,3,8,2] => [8,4,6,3,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,6,3,5,8,1] => [8,7,6,4,3,2,5,1] => [4,6,7,8,1,3,2,5] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[6,8,2,4,3,7,5,1] => [5,7,4,1,8,6,3,2] => [6,4,7,3,5,8,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[6,7,2,4,3,8,5,1] => [5,8,4,1,7,6,3,2] => [5,4,7,3,6,8,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[3,8,7,2,4,1,5,6] => [4,7,3,2,1,5,8,6] => [4,3,8,1,2,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,7,8,2,4,1,5,6] => [4,8,3,2,1,5,7,6] => [4,3,7,1,2,5,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[3,6,8,2,4,5,7,1] => [7,8,3,2,4,6,5,1] => [6,3,7,1,2,8,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[3,6,7,2,4,5,8,1] => [8,7,3,2,4,6,5,1] => [3,6,7,1,2,8,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[8,6,1,7,2,5,4,3] => [6,8,4,5,1,7,2,3] => [5,4,8,6,3,7,2,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,4,3,1,6,2,8,7] => [3,4,5,6,1,2,8,7] => [6,5,3,4,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[8,3,4,7,1,6,2,5] => [7,6,8,3,2,1,4,5] => [7,8,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,3,4,1,8,5,2,7] => [4,5,8,2,6,1,3,7] => [8,5,4,2,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,5,2,7,1,6,4] => [7,5,3,8,6,1,4,2] => [3,6,8,5,7,4,1,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,6,5,8,2,4,7,1] => [7,8,3,2,6,5,4,1] => [6,3,7,1,8,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,2,1,8,7,3,4,6] => [2,5,7,3,1,4,8,6] => [8,2,5,1,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,7,4,3,8,1] => [8,5,4,6,7,3,2,1] => [4,7,8,5,6,1,2,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[4,6,5,2,7,3,8,1] => [8,5,6,4,7,3,2,1] => [4,7,5,8,6,1,2,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[6,2,7,1,8,3,5,4] => [7,6,8,5,3,2,1,4] => [6,7,5,8,2,3,4,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[4,8,1,3,2,7,5,6] => [8,3,1,4,7,5,2,6] => [3,4,2,7,8,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[3,8,1,4,7,5,2,6] => [8,5,3,1,7,2,4,6] => [3,5,8,2,7,4,6,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[6,3,8,7,4,5,1,2] => [5,1,6,7,4,3,8,2] => [8,1,6,5,2,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,8,2,3,5,1] => [5,8,2,4,3,6,7,1] => [5,4,1,6,2,7,8,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[8,7,4,6,2,1,5,3] => [2,6,5,7,1,4,8,3] => [6,2,8,5,4,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,6,5,3,1,7,4] => [3,5,6,8,7,4,1,2] => [8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,6,5,2,3,1] => [3,5,2,4,6,7,8,1] => [4,3,1,8,5,6,7,2] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[2,1,8,6,4,3,7,5] => [2,1,4,6,8,7,5,3] => [2,1,8,4,6,7,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,6,5,3,8,4] => [2,1,5,6,7,8,3,4] => [2,1,8,7,5,6,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[7,2,5,4,6,1,8,3] => [6,7,8,5,2,4,1,3] => [7,6,5,8,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,4,1,7,6,8,5,3] => [4,2,5,1,8,7,6,3] => [2,7,4,3,5,8,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,4,1,7,8,5,6,2] => [4,6,3,1,8,5,7,2] => [4,3,7,2,6,1,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[8,5,6,2,7,3,1,4] => [3,7,6,2,8,5,1,4] => [8,3,7,1,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,4,1,7,8,2] => [4,5,8,6,1,2,7,3] => [7,6,4,5,3,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,1,3,6,7,5,8,2] => [4,8,1,3,7,6,5,2] => [6,4,2,1,7,8,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,7,5,3,8,2,4,6] => [1,8,5,2,7,4,3,6] => [1,5,8,3,7,2,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,7,2,4,5,8,3,6] => [1,7,8,2,4,3,5,6] => [1,8,7,3,2,5,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,5,3,1,6,4,7] => [3,5,8,6,1,2,4,7] => [8,5,3,6,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,4,7,8,3,5] => [1,2,8,6,3,4,7,5] => [1,2,6,7,4,5,8,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[2,7,4,5,8,1,3,6] => [8,2,1,7,4,3,5,6] => [2,7,1,8,3,5,6,4] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,6,4,7,8,1,5,2] => [8,5,3,6,1,4,7,2] => [3,5,7,6,4,1,8,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[3,6,4,7,2,8,5,1] => [5,8,3,7,6,1,4,2] => [5,3,8,6,7,4,1,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,4,2,1,3,7,8,6] => [2,4,1,5,3,8,7,6] => [5,2,1,4,3,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[6,1,4,7,8,5,2,3] => [6,5,2,1,8,4,7,3] => [6,7,1,3,5,2,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[2,6,7,3,1,8,5,4] => [3,2,7,5,8,6,1,4] => [2,6,3,7,5,8,4,1] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[8,6,5,1,3,2,4,7] => [5,3,1,2,6,8,4,7] => [3,8,2,1,5,6,4,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,8,3,2,5,1] => [5,3,8,6,2,4,7,1] => [5,7,3,6,2,1,8,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[8,6,1,2,5,4,3,7] => [6,1,4,5,2,8,3,7] => [4,1,8,5,3,6,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,8,6,4,1,3,2,7] => [4,3,1,6,5,8,2,7] => [3,5,2,4,8,6,1,7] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[6,8,5,7,4,2,3,1] => [3,4,2,7,8,6,5,1] => [7,3,1,4,6,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,3,8,7,1,6,4,5] => [7,2,3,6,4,1,8,5] => [2,3,6,8,1,5,7,4] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[4,3,7,8,1,6,2,5] => [8,6,4,3,2,1,7,5] => [4,6,7,1,2,5,8,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[3,5,8,7,4,1,2,6] => [4,1,3,7,5,2,8,6] => [3,1,5,4,8,2,7,6] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[7,3,8,4,1,2,5,6] => [4,1,8,7,3,5,2,6] => [8,1,4,7,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,2,7,4,5,3] => [8,1,5,7,4,6,2,3] => [5,1,7,6,2,8,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[2,4,8,7,5,6,1,3] => [6,2,1,4,7,5,8,3] => [2,4,1,8,6,3,7,5] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[3,7,4,8,5,6,2,1] => [2,6,3,7,8,5,4,1] => [3,2,8,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,8,5,2,4,6,7,1] => [7,5,3,2,8,4,6,1] => [3,7,8,1,5,2,4,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[6,3,8,7,2,1,4,5] => [2,7,6,1,4,3,8,5] => [6,2,8,3,1,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,3,7,8,5,6,1,4] => [6,2,3,1,8,5,7,4] => [2,3,7,1,6,4,8,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,4,7,8,1,6,3,5] => [8,2,6,4,3,1,7,5] => [2,4,6,7,1,5,8,3] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[5,4,7,8,2,6,3,1] => [3,6,8,5,4,1,7,2] => [6,5,3,7,1,4,8,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[5,8,3,2,7,6,1,4] => [6,3,7,2,5,8,1,4] => [5,7,3,1,8,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[4,5,3,2,8,6,7,1] => [7,3,5,4,2,8,6,1] => [3,5,4,8,1,7,2,6] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[2,8,5,6,1,4,7,3] => [6,2,7,1,8,5,4,3] => [2,8,7,3,6,1,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,6,1,5,2,7,3] => [6,5,8,4,3,7,2,1] => [5,6,4,8,1,7,2,3] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[4,6,8,5,3,2,7,1] => [7,3,5,4,8,6,2,1] => [3,6,4,7,5,8,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[2,6,4,8,5,1,7,3] => [5,2,8,7,6,1,3,4] => [2,8,5,6,7,4,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,8,5,2,1,3] => [2,5,1,8,6,7,3,4] => [8,2,1,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,6,5,2,7,1] => [7,5,3,4,6,8,2,1] => [3,4,5,8,7,6,1,2] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[3,4,8,7,5,6,2,1] => [2,6,3,4,7,5,8,1] => [3,2,4,8,6,1,7,5] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[4,5,1,2,8,6,7,3] => [5,1,7,4,2,8,6,3] => [5,1,4,8,3,7,2,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,3,4,8,5,6,1,2] => [6,1,7,3,8,5,4,2] => [8,1,7,2,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,7,2,4,8,3] => [6,7,8,2,1,5,4,3] => [8,7,6,2,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,1,2,3,8,6] => [5,1,2,7,4,8,3,6] => [8,1,2,5,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,1,2,8,5,6] => [3,1,4,7,8,5,2,6] => [8,1,3,4,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,5,7,1,3,2] => [7,3,1,8,6,4,5,2] => [3,7,2,6,8,4,1,5] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[7,4,1,6,3,5,8,2] => [4,7,8,6,1,2,5,3] => [8,6,4,7,3,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,6,4,1,8,2] => [4,6,3,7,5,8,1,2] => [5,3,7,4,8,6,2,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[8,6,2,3,7,1,4,5] => [7,6,2,1,4,8,3,5] => [7,8,1,3,2,6,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,1,5,4,8,3,2] => [6,3,7,5,2,8,4,1] => [5,7,3,8,2,6,1,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[4,8,7,6,1,2,5,3] => [6,1,5,4,2,7,8,3] => [4,1,5,8,3,6,7,2] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[2,8,6,7,4,1,3,5] => [4,2,1,7,3,8,6,5] => [2,8,1,4,3,7,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,6,4,2,3,1,7] => [3,4,2,6,5,8,1,7] => [5,3,1,4,8,6,2,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[2,8,3,1,6,5,4,7] => [3,2,8,5,6,1,4,7] => [2,5,3,8,6,4,1,7] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,2,7,4,8,1,3,5] => [8,6,1,7,3,2,4,5] => [6,8,2,7,3,5,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,3,2,6,8,1,7,5] => [8,3,4,2,7,6,1,5] => [3,6,4,1,7,8,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[5,1,2,4,7,8,3,6] => [5,1,8,2,4,3,7,6] => [7,1,5,3,2,4,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,2,8,7,3,5,4,1] => [4,5,6,7,1,3,8,2] => [8,6,5,4,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,8,7,4,2,5] => [3,4,1,7,2,6,8,5] => [6,3,2,4,1,8,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,5,8,4,3,1,2,7] => [3,1,4,8,6,5,2,7] => [6,1,3,4,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,5,1,3,7,4,6,2] => [5,8,2,6,7,1,3,4] => [8,5,1,7,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,3,7,4,2,6] => [1,4,7,8,5,3,2,6] => [1,7,5,4,8,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,8,2,7,1,5,6,4] => [7,8,3,6,1,5,2,4] => [6,3,7,8,4,1,5,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[6,8,2,3,4,7,5,1] => [5,7,1,3,8,6,4,2] => [7,6,2,1,5,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,6,8,5,2,7,4,1] => [4,7,3,5,8,6,1,2] => [4,3,7,6,5,8,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[2,1,7,8,4,6,5,3] => [2,1,5,6,8,3,7,4] => [2,1,7,6,5,4,8,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[7,8,2,4,3,1,5,6] => [3,4,8,1,2,5,7,6] => [7,4,3,2,1,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,2,7,1,3,5,8,4] => [7,6,1,8,3,2,5,4] => [7,8,2,6,3,5,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,2,4,1,6,3,8,5] => [4,7,6,2,8,1,3,5] => [8,4,7,2,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,1,7,5,2,6] => [3,4,8,5,7,2,1,6] => [8,4,3,5,7,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,1,6,5,2] => [7,5,4,3,6,1,8,2] => [4,5,8,1,6,3,7,2] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,7,5,6,3,8,2,1] => [2,8,6,4,7,5,3,1] => [4,2,6,8,7,1,3,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[4,8,5,7,2,3,1,6] => [3,7,2,4,8,1,5,6] => [4,3,1,8,7,5,6,2] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,8,5,7,1,4,6,2] => [7,6,3,1,8,4,5,2] => [3,7,8,2,6,4,1,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[6,7,2,4,5,3,8,1] => [8,7,5,2,4,6,3,1] => [5,6,7,2,1,8,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[5,7,2,8,3,6,1,4] => [6,7,8,1,5,3,2,4] => [7,6,5,3,8,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,3,6,4,2,8,7] => [5,4,1,6,3,2,8,7] => [5,6,2,4,1,3,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[5,1,8,7,4,6,2,3] => [5,6,2,7,1,4,8,3] => [8,6,1,5,4,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,7,5,4,2,1] => [2,4,5,7,8,6,3,1] => [7,2,6,4,5,8,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,3,2,1,4,8,5,7] => [2,3,6,1,8,4,5,7] => [8,2,3,1,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,3,6,4,8,7] => [2,5,1,6,3,4,8,7] => [6,2,1,5,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,1,8,3,5,4,6,2] => [7,6,8,5,3,4,1,2] => [6,7,5,8,2,1,4,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,3,7,1,4,6,5,2] => [7,5,6,1,8,4,2,3] => [6,8,7,3,5,1,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,8,3,6,4,7,5,1] => [5,2,7,8,6,4,1,3] => [2,8,6,5,7,1,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,1,5,8,4,3] => [2,7,4,8,1,6,5,3] => [6,2,7,4,3,8,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[5,4,8,7,6,1,3,2] => [6,3,1,5,4,7,8,2] => [3,5,2,8,1,6,7,4] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[3,1,9,8,7,6,5,4,2] => [3,4,1,5,6,7,8,9,2] => [9,3,2,4,5,6,7,8,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[7,6,1,8,5,4,3,2] => [6,3,4,5,7,8,2,1] => [3,8,4,7,5,6,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,8,7,4,1,3,2] => [4,3,1,7,6,5,8,2] => [3,6,2,4,8,1,7,5] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[3,2,9,8,7,6,5,4,1] => [4,3,2,5,6,7,8,9,1] => [3,9,1,4,5,6,7,8,2] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,10,9,8,7,6,5,4,2] => [3,4,1,5,6,7,8,9,10,2] => [10,3,2,4,5,6,7,8,9,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,8,3,5,6,2,4,7] => [1,6,8,2,3,5,4,7] => [1,8,6,3,4,2,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,8,5,6,2,3,7] => [1,6,2,4,8,5,3,7] => [1,4,2,8,6,3,5,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,2,8,5,3,7,4,6] => [1,2,5,8,7,3,4,6] => [1,2,8,5,7,4,6,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,7,2,5,6,1,4,3] => [6,7,4,1,2,5,8,3] => [6,4,8,3,2,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,8,2,5,4,7,3,6] => [1,8,7,5,2,3,4,6] => [1,5,7,8,4,3,6,2] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[5,7,4,1,2,3,8,6] => [4,1,2,7,5,8,3,6] => [5,1,2,4,8,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,7,4,2,5,3,8,6] => [1,4,7,5,3,8,2,6] => [1,8,4,5,2,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,7,4,5,6,1,2] => [6,1,8,7,4,5,3,2] => [8,1,6,7,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,2,3,1,5,7] => [3,4,2,8,1,6,5,7] => [6,3,1,4,2,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,7,5,2,4,1,6,8] => [4,5,3,2,7,1,6,8] => [4,3,7,1,5,2,6,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[2,8,3,1,4,5,6,7] => [3,2,8,1,4,5,6,7] => [2,8,3,1,4,5,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,8,2,3,1,5,6] => [3,8,2,7,1,5,4,6] => [7,3,1,8,4,2,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,5,7,4,1,8,2,3] => [4,7,1,8,6,5,2,3] => [7,6,2,4,8,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,4,3,1,8,2,5,7] => [3,4,6,8,2,1,5,7] => [8,6,3,4,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,3,5,7,2,6] => [8,7,1,4,3,2,5,6] => [4,7,2,8,1,5,6,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[5,3,6,1,8,2,4,7] => [6,8,5,2,3,1,4,7] => [6,5,8,2,3,4,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,3,1,7,2,4,5,6] => [3,8,7,1,4,5,2,6] => [8,3,7,2,1,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,3,8,7,6,2] => [4,6,5,1,3,7,8,2] => [8,4,5,3,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,8,2,7,6,3] => [5,8,6,4,1,7,2,3] => [6,4,5,8,3,7,2,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,5,3,1,7,6,2] => [3,5,8,4,6,7,1,2] => [5,4,3,8,6,7,2,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,6,2,7,8,1,4,3] => [8,6,4,1,5,2,7,3] => [4,5,6,3,7,2,8,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[4,6,2,8,7,1,5,3] => [7,6,5,4,1,2,8,3] => [4,5,6,8,3,2,7,1] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[4,6,8,2,7,5,1,3] => [5,7,2,4,8,6,1,3] => [6,4,1,7,5,8,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[5,6,2,7,4,1,8,3] => [4,7,6,8,5,3,2,1] => [7,5,6,4,8,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,1,7,8,2,4,3] => [6,8,4,2,5,1,7,3] => [5,4,6,2,7,3,8,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[4,1,6,8,7,3,5,2] => [4,5,7,1,3,6,8,2] => [6,5,4,3,1,8,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,1,6,8,7,5,3,2] => [4,3,5,1,7,6,8,2] => [4,6,3,2,5,8,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[5,1,6,7,4,8,3,2] => [5,3,8,7,1,6,4,2] => [5,7,3,6,4,8,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[5,6,1,7,8,4,2,3] => [6,4,2,8,5,1,7,3] => [5,6,1,4,7,3,8,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[4,8,6,1,7,5,3,2] => [6,3,5,4,8,7,2,1] => [3,6,4,8,5,7,1,2] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[5,6,7,1,3,8,2,4] => [7,8,1,2,5,6,3,4] => [6,5,2,3,7,8,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,7,1,3,2,8,4] => [7,3,1,8,5,6,2,4] => [3,6,2,5,7,8,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[5,6,7,3,8,1,2,4] => [8,1,7,2,5,6,3,4] => [5,1,6,3,7,8,4,2] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[5,6,7,3,8,2,1,4] => [2,8,7,1,5,6,3,4] => [5,2,6,3,7,8,4,1] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,4,8,6,3,2,5,7] => [1,3,6,4,2,8,5,7] => [1,4,3,8,2,6,5,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[7,6,3,1,5,8,4,2] => [3,6,4,7,1,8,5,2] => [8,3,7,4,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,5,7,3,1,8] => [3,7,4,6,1,5,2,8] => [7,3,4,6,2,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,2,5,7,6,3,1,8] => [3,6,4,1,5,7,2,8] => [5,3,4,2,7,6,1,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[7,4,5,6,1,8,3,2] => [6,3,8,7,4,5,1,2] => [6,8,3,7,1,2,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,1,5,8,6,3,2,7] => [4,3,6,1,5,8,2,7] => [4,5,3,2,8,6,1,7] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[3,2,5,1,4,8,7,6] => [5,3,2,1,4,7,8,6] => [3,5,1,2,4,8,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,4,2,3,6,8,7,5] => [1,4,2,3,7,6,8,5] => [1,4,2,3,6,8,7,5] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[5,4,8,3,7,1,6,2] => [7,6,8,5,4,1,3,2] => [6,7,5,8,1,4,2,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[6,4,1,8,5,3,7,2] => [4,6,7,5,8,2,1,3] => [8,6,4,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,7,2,5,3,4] => [8,7,5,3,2,1,6,4] => [5,7,8,1,3,4,2,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,1,4,7,2,8,3,5] => [6,7,8,1,3,4,2,5] => [8,7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,6,8,4,5] => [2,3,1,8,4,7,6,5] => [3,2,1,7,4,8,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[3,8,5,2,7,6,1,4] => [6,5,3,2,7,8,1,4] => [3,7,8,1,5,6,4,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,7,5,3,1,8,6,2] => [3,5,7,4,6,8,1,2] => [5,4,3,8,7,6,2,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,5,4,6,7,8,2,3] => [1,8,2,5,4,6,7,3] => [1,5,2,6,3,7,8,4] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[7,4,5,2,6,8,1,3] => [8,5,1,7,4,2,6,3] => [5,8,2,7,1,4,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,4,2,6,8,7,1,3] => [7,4,1,5,2,6,8,3] => [4,6,2,5,3,8,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[7,8,4,3,1,2,6,5] => [3,1,4,8,6,2,7,5] => [6,1,3,4,7,5,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[6,5,1,4,3,2,8,7] => [5,3,4,1,6,2,8,7] => [3,6,4,2,5,1,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[7,5,4,2,3,8,1,6] => [8,4,2,5,7,1,3,6] => [4,8,1,5,7,3,6,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,1,3,5,6,2,4] => [8,6,1,2,3,5,7,4] => [6,7,2,3,4,1,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,7,8,3,5,6,2,4] => [1,6,8,2,3,5,7,4] => [1,7,6,3,4,2,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,7,1,5,8,6,2,4] => [7,6,3,2,1,8,5,4] => [3,7,8,1,4,6,2,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,1,7,8,5,2,6,4] => [3,5,1,8,6,4,7,2] => [7,3,2,5,6,1,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,3,7,5,8,2,6,4] => [1,8,3,6,7,2,5,4] => [1,3,6,8,7,5,2,4] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[3,5,7,1,8,4,6,2] => [7,6,3,8,5,4,1,2] => [3,6,7,5,8,1,4,2] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[5,3,7,8,4,6,1,2] => [6,1,5,8,3,4,7,2] => [6,1,7,5,3,2,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[5,3,7,8,4,1,6,2] => [4,8,6,5,1,2,7,3] => [7,4,5,6,3,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,3,7,1,8,4,6,2] => [7,6,5,8,3,4,1,2] => [6,7,8,5,2,1,4,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,5,3,7,8,4,2,6] => [1,4,8,5,2,3,7,6] => [1,7,4,5,3,2,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,6,2,1,4,5,8,7] => [2,6,3,1,4,5,8,7] => [3,2,6,1,4,5,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[4,6,2,5,1,3,8,7] => [5,6,1,4,2,3,8,7] => [5,4,2,6,3,1,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[6,4,2,5,1,3,8,7] => [5,4,1,6,2,3,8,7] => [5,6,2,4,3,1,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[6,8,2,7,3,1,4,5] => [3,7,8,2,4,6,1,5] => [7,6,3,1,2,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,2,3,8,1,5,6,7] => [8,4,2,3,1,5,6,7] => [4,8,1,2,3,5,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,8,4,3,6,7] => [2,1,4,8,5,3,6,7] => [2,1,5,4,8,3,6,7] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[5,8,3,2,7,1,4,6] => [7,3,8,1,5,4,2,6] => [5,7,3,2,8,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,1,8,3,7,2,4,6] => [5,7,8,2,1,4,3,6] => [8,7,5,2,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,1,6,2,3,7] => [8,6,2,4,5,1,3,7] => [4,5,1,6,8,3,2,7] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[2,1,5,4,8,3,6,7] => [2,1,8,5,4,3,6,7] => [2,1,5,8,3,4,6,7] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[3,8,4,2,1,5,6,7] => [2,4,3,8,1,5,6,7] => [3,2,8,4,1,5,6,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,8,4,1,5,6,7] => [4,2,3,8,1,5,6,7] => [2,3,8,4,1,5,6,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,4,2,8,1,5,6,7] => [8,4,3,2,1,5,6,7] => [3,4,8,1,2,5,6,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,8,5,2,7,1,4,6] => [7,5,3,1,8,4,2,6] => [3,7,8,2,5,1,6,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,1,4,8,5,3,6,7] => [2,1,5,4,8,3,6,7] => [2,1,4,8,5,3,6,7] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,8,4,3,1,5,6,7] => [3,2,4,8,1,5,6,7] => [2,8,3,4,1,5,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,6,2,8,3] => [4,6,8,1,7,5,2,3] => [8,6,4,3,7,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,3,8,1,6,2] => [8,6,4,7,5,1,3,2] => [4,6,7,5,8,3,1,2] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[5,7,4,3,8,2,6,1] => [6,8,4,7,5,2,3,1] => [6,4,7,5,8,2,1,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[6,1,7,5,2,8,4,3] => [6,5,4,7,8,1,3,2] => [6,7,8,4,5,3,1,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[2,6,7,5,3,8,4,1] => [4,2,8,5,7,6,1,3] => [2,7,4,5,6,8,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,1,6,7,5,3,8,4] => [2,1,5,7,8,6,4,3] => [2,1,7,6,5,8,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[3,8,4,2,1,6,7,5] => [2,4,3,8,7,1,6,5] => [3,2,7,4,8,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[6,7,4,8,3,1,2,5] => [3,1,8,7,2,6,4,5] => [6,1,3,7,4,8,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[3,4,8,2,1,5,7,6] => [2,8,3,4,1,7,5,6] => [3,2,4,7,1,8,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[6,7,4,8,2,3,5,1] => [5,8,2,7,3,6,4,1] => [7,5,1,6,3,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,5,8,4,1,3,2] => [4,3,1,8,7,6,5,2] => [3,6,2,4,7,8,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[6,7,4,8,1,2,3,5] => [8,1,2,7,3,6,4,5] => [6,1,2,7,4,8,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,5,6,3,4,8,2,7] => [1,8,6,3,5,4,2,7] => [1,5,6,2,8,3,4,7] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,4,3,6,5,8,2,7] => [1,8,4,3,6,5,2,7] => [1,4,6,2,8,3,5,7] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[8,1,3,4,7,2,6,5] => [8,7,1,3,6,2,4,5] => [6,7,2,1,8,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,8,3,4,7,6,2,5] => [1,6,7,2,3,8,4,5] => [1,8,7,3,4,6,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,1,7,5,2,6,4] => [8,5,3,7,6,4,1,2] => [3,5,8,6,7,1,4,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[8,2,1,7,4,3,6,5] => [2,8,4,7,6,3,1,5] => [4,2,7,6,8,3,5,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,3,2,8,5,4,6,7] => [1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[8,4,5,7,6,3,2,1] => [2,3,6,7,1,8,5,4] => [8,2,3,7,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,5,7,6,2,3] => [1,6,2,4,7,8,3,5] => [1,4,2,8,7,6,5,3] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[5,2,7,8,6,3,4,1] => [4,5,6,3,2,8,7,1] => [7,5,4,1,2,6,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,2,8,7,5,4,6,1] => [6,3,2,5,7,4,8,1] => [3,6,1,8,5,2,7,4] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[3,1,8,7,5,6,2,4] => [3,6,1,2,7,5,8,4] => [8,3,2,1,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,4,5,6,3,2] => [8,3,6,1,4,5,7,2] => [3,7,6,2,1,4,8,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[7,8,1,2,6,3,4,5] => [8,1,6,3,4,2,7,5] => [6,1,7,2,3,5,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[6,2,4,8,1,5,3,7] => [8,6,5,2,1,4,3,7] => [5,6,8,2,4,1,3,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,4,8,2,6,3,7,5] => [1,8,6,4,7,2,3,5] => [1,4,6,8,7,5,3,2] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,2,7,8,5,3,4,6] => [1,2,5,3,8,4,7,6] => [1,2,7,3,5,4,8,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[3,1,8,4,5,6,7,2] => [3,7,1,8,4,5,6,2] => [8,3,2,7,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,8,6,5,3,7] => [4,2,5,1,6,8,3,7] => [2,8,4,3,5,6,1,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,8,5,1,4,6] => [5,3,2,1,8,4,7,6] => [3,7,1,2,5,4,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[4,1,2,8,7,5,3,6] => [4,1,5,2,7,3,8,6] => [8,1,4,3,5,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,7,5,3,6] => [1,4,5,2,7,3,8,6] => [1,8,4,3,5,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,8,5,3,4,6] => [2,7,5,3,8,4,1,6] => [7,2,8,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,2,6,8,4,5,3,7] => [1,2,5,8,4,6,3,7] => [1,2,6,5,3,8,4,7] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[6,7,1,5,8,4,3,2] => [7,3,4,8,1,6,5,2] => [3,7,6,4,2,8,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[6,7,3,8,5,4,1,2] => [4,1,5,8,7,6,3,2] => [7,1,5,4,6,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,6,1,5,8,4,3,2] => [6,3,4,7,2,8,5,1] => [3,8,7,4,1,6,2,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,1,8,4,3,2] => [6,3,4,8,7,5,1,2] => [3,8,6,4,7,1,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,5,3,2,4,6] => [1,3,5,2,7,4,8,6] => [1,8,3,2,5,4,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,4,2,5,3,6] => [1,4,7,5,3,2,8,6] => [1,8,4,5,2,3,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,4,2,5,3,6,1] => [6,4,7,5,3,2,8,1] => [5,8,4,6,1,2,7,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,5,3,6,4,2,8] => [7,4,6,5,1,2,3,8] => [4,7,5,6,3,2,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,5,3,8,7,4,2,6] => [1,4,7,5,2,3,8,6] => [1,8,4,5,3,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,8,6,3,5,1] => [5,4,7,6,2,8,3,1] => [7,8,4,5,2,6,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,1,5,3,8,7,4,2] => [6,4,7,5,1,2,8,3] => [5,8,4,6,3,2,7,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,3,1,8,7,5,4,6] => [3,2,1,5,7,4,8,6] => [2,3,1,8,5,4,7,6] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[5,3,8,7,4,2,1,6] => [2,4,7,5,1,3,8,6] => [8,2,4,5,3,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,1,8,6,3,5] => [2,4,7,6,1,8,3,5] => [8,2,4,7,3,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,7,4,2,1,5] => [2,4,7,6,3,8,1,5] => [8,2,4,7,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,4,1,8,5,2] => [4,7,5,8,6,3,2,1] => [8,5,6,4,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,6,3,7,4,1] => [4,7,5,8,6,1,3,2] => [8,5,6,4,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,7,4,2,5,1] => [5,4,7,6,3,8,2,1] => [7,8,4,5,1,6,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,8,6,3,2,4,7,5] => [1,3,6,2,8,7,5,4] => [1,8,3,2,6,7,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,3,2,4,7,5,1] => [5,3,7,1,6,8,4,2] => [5,8,3,2,7,6,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,1,8,6,3,2,4] => [5,3,7,1,6,8,2,4] => [5,8,3,2,7,6,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,3,2,8,7,6,1,5] => [6,3,4,2,1,7,8,5] => [3,8,4,1,2,6,7,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,1,3,8,7,6] => [5,2,1,4,3,7,8,6] => [2,4,1,5,3,8,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[7,5,8,6,3,2,4,1] => [4,3,6,2,8,7,1,5] => [4,8,3,1,6,7,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,8,6,3,2,4] => [1,3,6,2,8,7,4,5] => [1,8,3,2,6,7,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,3,1,7,4,2,5] => [3,6,4,8,2,7,1,5] => [8,3,6,4,1,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,2,5,3,1,6] => [3,5,4,7,1,2,8,6] => [8,3,5,4,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,5,3,2,6] => [4,3,5,1,7,2,8,6] => [4,8,3,2,5,1,7,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,8,6,4,1,3,7,5] => [4,2,1,6,8,7,5,3] => [2,8,1,4,6,7,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,8,6,3,2,7,5] => [4,3,6,1,8,7,5,2] => [4,8,3,2,6,7,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,4,8,5,2,6,3,1] => [3,6,5,8,7,4,1,2] => [8,3,7,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,3,1,8,5,2] => [3,6,5,8,7,1,2,4] => [8,3,7,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,7,4,8,5,2] => [3,6,5,8,7,2,1,4] => [8,3,7,5,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,1,5,7,4,2] => [3,6,4,8,1,7,5,2] => [8,3,6,4,2,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,1,7,4,6,3] => [2,5,8,6,7,1,3,4] => [8,2,5,7,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,2,1,4,8,7] => [2,5,3,1,6,4,8,7] => [3,2,6,1,5,4,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[4,1,8,5,7,3,2,6] => [4,3,7,1,8,2,5,6] => [4,8,3,2,7,5,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,8,3,2,6] => [4,3,8,1,7,2,5,6] => [4,7,3,2,8,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[2,1,5,8,7,4,3,6] => [2,1,4,7,5,3,8,6] => [2,1,5,4,8,3,7,6] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[5,1,7,4,8,3,2,6] => [5,3,8,7,1,2,4,6] => [5,8,3,7,4,2,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,7,2,8,3,6,1,5] => [6,7,8,4,1,3,2,5] => [7,6,4,8,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,7,8,2,4,1,6,5] => [4,8,3,2,6,1,7,5] => [4,3,6,1,7,5,8,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[3,8,6,2,4,1,7,5] => [4,6,3,2,8,7,5,1] => [4,3,8,1,6,7,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,3,4,8,1,6,2,5] => [8,6,7,3,2,1,4,5] => [6,8,7,1,3,5,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,3,4,8,1,7,2,5] => [8,7,6,3,2,4,1,5] => [6,7,8,1,3,4,5,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,3,4,8,1,2,7,6] => [8,1,5,3,4,7,2,6] => [5,1,7,2,3,8,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,8,5,4,2,3,7,6] => [1,4,2,5,8,7,3,6] => [1,7,2,4,5,8,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,5,4,8,1,2,7,6] => [8,1,3,5,4,7,2,6] => [3,1,5,7,2,8,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[6,5,3,8,7,1,2,4] => [7,1,5,2,6,3,8,4] => [5,1,8,3,6,4,7,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,6,3,8,7,1,2,4] => [7,1,6,2,5,3,8,4] => [5,1,6,3,8,4,7,2] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[4,6,3,8,1,7,2,5] => [8,7,6,4,2,3,1,5] => [4,6,7,8,2,3,5,1] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[2,6,8,4,1,7,3,5] => [4,2,8,7,1,6,3,5] => [2,7,4,6,3,8,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,8,7,4,2,6,3,5] => [1,4,7,6,2,3,8,5] => [1,8,4,6,3,5,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,8,5,6,1,3,4] => [6,2,1,3,8,5,7,4] => [2,7,1,3,6,4,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,8,7,5,6,2,3,4] => [1,6,2,3,7,5,8,4] => [1,8,2,3,6,4,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,8,5,7,1,3,4] => [7,2,1,3,8,6,5,4] => [2,7,1,3,6,8,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,3,5,8,7,1,2,4] => [7,1,6,2,3,5,8,4] => [6,1,8,3,4,2,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,2,8,6,7,1,3,4] => [7,5,1,3,2,8,6,4] => [5,8,2,1,4,7,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,8,3,2,7,6,4,5] => [1,3,8,6,4,7,2,5] => [1,6,3,8,2,7,5,4] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,8,5,7,6,2,3,4] => [1,6,2,3,7,8,4,5] => [1,8,2,3,7,6,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,8,1,2,3] => [8,1,2,7,6,4,5,3] => [6,1,2,7,8,4,3,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,6,7,8,5,1,2,4] => [5,1,3,2,8,6,7,4] => [3,1,6,2,5,7,8,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[2,6,8,7,5,1,3,4] => [5,2,1,3,7,6,8,4] => [2,6,1,3,5,8,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,8,6,7,5,2,3,4] => [1,5,2,3,7,8,6,4] => [1,8,2,3,5,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,8,6,5,1,3,4] => [5,2,1,3,6,8,7,4] => [2,7,1,3,5,6,8,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,7,6,4,8,1,2,3] => [8,1,2,6,5,7,4,3] => [5,1,2,6,8,7,3,4] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[2,8,7,4,1,3,5,6] => [4,2,1,7,3,5,8,6] => [2,8,1,4,3,5,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,6,1,3,2,5,7] => [6,3,1,4,2,8,5,7] => [3,4,2,8,1,6,5,7] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[5,4,2,7,6,8,1,3] => [8,4,1,5,2,7,6,3] => [4,7,2,5,3,8,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[2,8,7,1,4,5,3,6] => [7,2,5,1,4,3,8,6] => [2,5,8,3,1,4,7,6] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,6,1,8,7,3,2,5] => [6,3,7,4,2,1,8,5] => [4,6,3,8,1,5,7,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[5,3,1,4,8,7,2,6] => [3,5,7,2,4,1,8,6] => [8,5,3,1,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,2,8,7,1,6] => [7,5,4,3,2,1,8,6] => [4,5,8,1,2,3,7,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[3,7,6,8,1,5,2,4] => [8,5,3,2,1,7,6,4] => [3,5,7,1,4,8,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[3,7,2,1,8,6,4,5] => [2,7,3,6,4,8,1,5] => [3,2,7,8,1,6,5,4] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[3,7,5,1,6,8,2,4] => [5,7,3,1,8,2,6,4] => [7,3,8,2,5,4,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,5,8,1,4,7,2] => [8,7,3,1,6,5,4,2] => [3,6,7,2,8,1,4,5] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[8,1,5,6,4,7,2,3] => [8,7,2,6,1,5,4,3] => [6,7,1,8,4,2,3,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[3,6,7,4,1,8,2,5] => [4,7,3,8,1,6,2,5] => [6,3,7,4,2,8,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,7,4,6,8,2,5,3] => [1,8,5,7,2,4,6,3] => [1,5,8,7,4,2,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,8,2,6,3,1,4] => [3,6,8,2,7,1,5,4] => [8,6,3,1,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,6,1,8,5,4] => [6,3,7,5,8,2,1,4] => [6,7,3,8,5,2,4,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[6,4,7,2,3,1,8,5] => [3,7,2,6,8,4,1,5] => [7,3,1,8,6,4,5,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,3,1,8,4,6,2,7] => [3,5,6,8,2,4,1,7] => [8,6,3,5,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,3,6,8,1,5] => [8,2,4,7,1,3,6,5] => [2,4,8,7,3,5,1,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,8,4,6,1,5,3,7] => [6,2,5,8,1,4,3,7] => [2,6,8,5,4,1,3,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,4,1,6,3,2,5,7] => [4,3,8,6,1,2,5,7] => [4,8,3,6,2,5,1,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,3,2,8,5] => [4,3,7,6,8,2,1,5] => [4,8,3,7,6,2,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,8,6,2,7,4,1,5] => [4,7,3,6,2,8,1,5] => [4,3,8,7,1,6,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,3,1,4,5,2,8,6] => [3,7,5,2,4,8,1,6] => [8,3,5,1,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,4,6,7,5,3] => [8,1,5,2,7,4,6,3] => [5,1,8,3,7,2,4,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,1,3,6,7,5,4,2] => [8,4,1,5,7,3,6,2] => [4,8,2,5,7,1,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,8,6,1,4] => [6,5,1,2,8,7,3,4] => [6,8,2,3,5,7,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,2,4,1,3,7,5] => [4,6,1,2,8,7,5,3] => [8,4,2,3,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,7,6,1,3,2] => [6,3,1,7,2,8,5,4] => [3,8,2,7,4,6,1,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,8,4,2,3,6,1] => [6,4,2,8,7,3,5,1] => [6,8,1,4,7,3,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,8,4,6,1,7,5,2] => [6,5,3,7,8,2,1,4] => [3,7,8,6,5,2,4,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,7,6,1,5,8,3] => [6,4,7,2,3,8,5,1] => [7,8,4,2,1,6,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,1,4,5,7,6,2] => [3,8,6,2,4,7,5,1] => [8,3,6,1,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,6,8,4,7,2] => [5,7,3,8,1,6,4,2] => [6,3,7,5,4,8,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[7,2,6,5,8,4,1,3] => [4,8,2,7,6,1,5,3] => [7,4,1,6,8,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,3,2,5,1,6,7,4] => [5,3,8,7,2,1,6,4] => [5,8,3,7,2,4,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,6,8,3,7,4,1,5] => [4,2,7,8,3,6,1,5] => [2,7,6,4,1,8,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,5,8,1,6,4,7,3] => [8,2,7,6,5,1,4,3] => [2,5,6,7,8,4,1,3] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[7,4,1,8,3,2,6,5] => [4,3,7,8,6,1,2,5] => [6,7,3,4,8,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[3,6,5,8,4,1,7,2] => [4,8,3,7,6,5,2,1] => [4,3,7,6,8,1,2,5] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[7,3,6,1,8,4,5,2] => [6,5,7,8,4,3,1,2] => [7,8,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,7,3,4,6,5,1] => [5,6,8,1,7,4,3,2] => [8,7,5,3,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,1,6,4,8,2] => [3,7,8,6,5,2,4,1] => [6,5,3,7,8,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[8,7,4,2,3,6,1,5] => [6,4,2,7,1,3,8,5] => [6,8,1,4,3,5,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,7,1,5,2,8,6,4] => [7,5,3,6,1,8,2,4] => [3,5,8,7,4,6,2,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[5,2,8,7,1,4,3,6] => [7,5,4,1,2,3,8,6] => [4,5,8,3,2,1,7,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,1,8,6,2,4,3,5] => [7,6,4,2,3,8,1,5] => [4,7,8,2,1,6,5,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,1,6,2,8,5,3,4] => [7,6,5,3,8,1,2,4] => [6,7,8,1,5,4,3,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,3,4,1,7,2,8,5] => [4,7,6,3,8,1,2,5] => [8,4,7,1,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,3,5,1,8,6] => [5,7,4,2,3,8,1,6] => [5,4,8,2,1,7,6,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,1,7,2,3,8,6,4] => [5,7,2,6,1,8,3,4] => [8,5,1,7,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,1,4,8,2,5] => [3,6,7,1,2,8,4,5] => [8,7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,2,7,5,3,4] => [6,8,5,3,7,1,2,4] => [7,5,8,1,6,4,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,8,1,6,5,3,4] => [8,7,5,3,6,1,2,4] => [5,6,8,1,7,4,3,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,1,7,4,3,8,2,6] => [5,8,4,7,1,2,3,6] => [7,4,8,5,3,2,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,4,1,6,3,7,5] => [4,8,6,2,7,1,3,5] => [8,4,6,2,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,3,2,8,5,4] => [6,3,7,5,8,1,2,4] => [6,7,3,8,5,4,2,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[6,2,1,5,3,8,4,7] => [2,6,5,8,1,3,4,7] => [6,2,8,5,4,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,5,2,8,4,3,7] => [6,5,4,8,1,2,3,7] => [5,6,8,4,3,2,1,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,1,5,3,2,8,4,7] => [6,3,5,8,1,2,4,7] => [3,8,6,5,4,2,1,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,3,4,2,8,5] => [7,4,6,3,8,1,2,5] => [4,8,7,1,6,5,3,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,1,3,7,4,2,6] => [5,4,2,8,7,1,3,6] => [5,8,1,4,7,3,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,1,3,7,5,2,4] => [6,5,2,1,8,7,3,4] => [6,8,1,3,5,7,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,8,5,6,1,7,3,2] => [6,3,7,4,8,5,1,2] => [4,7,3,8,6,1,5,2] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[6,7,1,3,8,5,2,4] => [7,5,1,2,8,6,3,4] => [6,7,2,3,5,8,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[7,1,3,8,4,2,6,5] => [7,4,1,8,6,2,3,5] => [6,7,2,4,8,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,6,2,7,1,3,8,4] => [7,6,1,8,5,2,3,4] => [6,7,2,5,8,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[7,4,2,1,5,8,3,6] => [2,4,7,8,3,1,5,6] => [8,2,7,4,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,8,3,2,6] => [4,3,7,8,2,1,5,6] => [7,8,3,4,1,5,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,2,6,4,8,1,5] => [8,3,7,6,1,2,4,5] => [3,7,6,8,4,5,2,1] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[6,4,2,7,3,8,1,5] => [8,4,6,7,1,3,2,5] => [4,8,7,6,3,2,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,1,8,3,7,4,2,6] => [5,4,7,8,1,3,2,6] => [7,8,5,4,3,1,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,2,1,7,4,8,3,6] => [2,5,8,7,1,3,4,6] => [8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,4,5,2,7,3] => [6,5,7,8,4,1,2,3] => [7,8,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,6,4,5,2,8,3] => [7,5,8,6,4,1,2,3] => [6,8,5,7,1,4,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,5,2,7,1,6,8,4] => [7,5,3,8,2,1,6,4] => [3,7,8,5,2,4,1,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,5,7,3,1,6,8,2] => [3,7,8,4,5,2,6,1] => [5,4,3,7,8,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[3,5,1,7,2,6,8,4] => [5,7,3,8,1,2,6,4] => [7,3,8,5,4,2,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,5,7,2,8,1,3,6] => [8,7,1,4,5,3,2,6] => [4,5,2,7,8,1,6,3] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[4,6,7,1,3,8,5,2] => [7,5,1,4,8,6,3,2] => [4,6,2,7,5,8,1,3] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[4,6,7,1,5,8,3,2] => [7,3,8,4,1,6,5,2] => [4,6,3,7,2,8,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[4,1,5,2,7,6,3,8] => [4,5,6,1,2,7,3,8] => [7,5,4,3,2,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,1,4,2,8,6,3] => [5,4,7,3,6,8,2,1] => [5,8,4,1,7,6,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,3,2,1,7,6,4,8] => [2,3,5,6,1,7,4,8] => [7,2,3,5,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,2,4,8,3,5,1] => [5,6,7,3,2,8,4,1] => [8,7,5,1,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,3,6,4,2,7] => [1,4,6,5,8,2,3,7] => [1,8,4,6,5,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,6,1,4,3,7] => [6,2,4,1,8,5,3,7] => [2,4,8,3,6,1,5,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,4,8,3,2,5,1] => [5,3,8,6,2,7,4,1] => [5,8,3,6,2,7,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,5,8,4,1,3,7,2] => [4,8,2,7,6,5,3,1] => [7,4,1,6,8,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,4,8,3,2,1,7,6] => [2,3,8,5,4,7,1,6] => [5,2,3,7,1,8,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[3,6,8,2,1,5,7,4] => [2,8,3,7,1,6,5,4] => [3,2,6,7,4,8,1,5] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[2,7,4,1,8,3,6,5] => [4,2,7,8,6,1,3,5] => [2,7,6,4,8,5,3,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,5,1,8,4,2,7,6] => [5,4,3,8,1,7,2,6] => [3,5,7,4,2,8,6,1] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[5,3,1,8,6,4,2,7] => [3,5,4,6,2,8,1,7] => [8,3,5,4,1,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,2,1,6,4,5] => [2,7,3,6,4,1,8,5] => [3,2,6,8,1,5,7,4] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[5,8,7,2,6,1,4,3] => [6,7,4,1,5,2,8,3] => [5,4,6,3,8,2,7,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[5,8,6,4,3,2,1,7] => [2,3,4,6,5,8,1,7] => [5,2,3,4,8,6,1,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[8,7,3,6,4,2,1,5] => [2,4,6,7,3,1,8,5] => [8,2,6,4,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,5,4,2,7,8] => [6,4,1,5,3,2,7,8] => [4,6,2,5,1,3,7,8] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,3,6,7,4,8,5,2] => [1,5,3,8,7,6,2,4] => [1,3,7,5,6,8,4,2] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[2,7,6,5,3,1,8,4] => [3,2,5,6,7,8,1,4] => [2,8,3,7,5,6,4,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,2,6,3,8,5] => [1,4,7,6,8,3,2,5] => [1,8,4,7,6,3,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,6,8,3,5,4] => [7,2,8,5,3,1,6,4] => [2,7,5,8,3,4,1,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,7,6,5,8,1,4,3] => [8,2,4,1,6,7,5,3] => [2,4,6,3,8,7,1,5] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[9,1,2,3,4,5,6,8,7] => [9,1,2,3,4,5,8,6,7] => [8,1,2,3,4,5,9,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[10,1,2,3,4,5,6,7,9,8] => [10,1,2,3,4,5,6,9,7,8] => [9,1,2,3,4,5,6,10,8,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[2,3,4,5,6,7,8,10,9,1] => [9,2,3,4,5,6,7,8,10,1] => [2,3,4,5,6,7,8,10,9,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[3,2,10,9,8,7,6,5,4,1] => [4,3,2,5,6,7,8,9,10,1] => [3,10,1,4,5,6,7,8,9,2] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,2,7,6,1,5,4,3] => [6,7,4,5,2,8,1,3] => [5,4,8,7,2,6,3,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,4,1,7,6,5,3,2] => [4,3,8,5,6,7,2,1] => [4,8,3,5,6,7,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,2,3,8,1,7] => [8,6,2,4,5,3,1,7] => [4,5,1,6,8,2,3,7] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[4,5,3,2,7,8,1,6] => [8,3,5,4,2,1,7,6] => [3,5,4,7,1,2,8,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[6,5,7,3,8,4,2,1] => [2,4,8,7,6,5,1,3] => [7,2,4,6,8,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,7,2,4,3,5,1] => [5,7,4,2,3,6,8,1] => [5,4,6,2,1,8,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[6,8,1,5,2,4,3,7] => [8,5,4,2,1,6,3,7] => [4,5,6,2,3,8,1,7] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[2,3,4,7,5,8,1,6] => [8,2,3,4,7,1,5,6] => [2,3,4,7,8,5,6,1] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[5,3,7,4,8,6,1,2] => [6,1,5,8,3,7,2,4] => [6,1,8,5,3,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,3,7,4,8,6,2,5] => [1,6,3,8,4,7,2,5] => [1,3,8,6,2,7,5,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,7,8,5,4,1,2,6] => [4,1,3,5,8,2,7,6] => [3,1,7,4,5,2,8,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[5,7,6,2,8,4,1,3] => [4,8,2,6,5,7,1,3] => [6,4,1,5,8,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,1,7,5,8,3,4,2] => [6,4,8,3,7,1,5,2] => [6,8,4,1,7,5,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,5,6,8,4,7,3,2] => [1,3,7,8,5,6,4,2] => [1,6,3,5,7,8,2,4] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[4,1,3,7,6,5,8,2] => [4,8,1,3,6,7,5,2] => [6,4,2,1,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,8,5,1,7,2,4,3] => [5,8,4,1,7,6,2,3] => [5,4,7,3,6,8,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[8,2,4,1,3,7,6,5] => [4,8,1,2,6,7,3,5] => [6,4,2,3,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,8,3,6,2,1,4,5] => [2,6,8,1,4,3,7,5] => [7,2,6,3,1,5,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,1,7,4,2,3,6,5] => [8,4,2,7,6,3,1,5] => [4,7,1,6,8,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[2,3,7,4,1,8,5,6] => [4,2,3,7,8,5,1,6] => [2,3,8,4,7,1,6,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,2,5,6,7,1,3,4] => [7,8,1,3,2,5,6,4] => [8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,5,8,2,4,3] => [7,8,4,2,1,6,5,3] => [6,4,7,2,3,8,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[6,5,7,3,8,2,1,4] => [2,8,7,1,6,5,3,4] => [6,2,7,3,8,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,1,4,7,2,5,6,3] => [8,7,6,1,2,5,4,3] => [6,7,8,3,4,1,2,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[7,3,4,6,1,5,8,2] => [6,8,7,3,1,4,5,2] => [8,6,7,1,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,5,8,1,4,7] => [8,2,3,1,6,5,4,7] => [2,3,6,1,8,4,5,7] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[6,4,1,2,8,3,5,7] => [4,1,6,8,2,3,5,7] => [8,1,6,4,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,4,6,8,5] => [1,2,3,7,8,4,6,5] => [1,2,3,8,7,5,4,6] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[2,1,5,3,8,7,4,6] => [2,1,5,7,3,4,8,6] => [2,1,8,5,4,3,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[5,8,3,2,4,1,6,7] => [4,3,8,2,5,1,6,7] => [4,5,3,1,8,2,6,7] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[4,1,8,2,7,3,5,6] => [4,8,7,1,3,5,2,6] => [8,4,7,3,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,5,3,8,4,6] => [1,2,5,7,8,3,4,6] => [1,2,8,7,5,4,6,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,7,6,8,4,5] => [1,2,3,8,4,7,6,5] => [1,2,3,7,4,8,5,6] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,3,6,8,7,4,5] => [1,2,3,7,4,6,8,5] => [1,2,3,6,4,8,7,5] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,3,7,8,4,6,5] => [1,2,3,8,6,4,7,5] => [1,2,3,6,7,5,8,4] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,3,6,8,4,7,5] => [1,2,3,8,7,6,4,5] => [1,2,3,6,7,8,5,4] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,3,7,8,6,4,5] => [1,2,3,6,4,8,7,5] => [1,2,3,7,4,6,8,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[6,2,8,3,7,5,1,4] => [5,7,6,2,8,3,1,4] => [8,6,7,2,5,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,3,7,5,6,1] => [6,4,8,2,7,5,3,1] => [6,8,4,2,7,1,3,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,6,3,8,5,7,2,1] => [2,7,6,4,8,3,5,1] => [4,2,7,8,6,3,1,5] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,8,4,3,7,5,6,2] => [1,6,4,8,7,5,3,2] => [1,6,8,4,7,2,3,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,5,8,3,7,4,6,1] => [6,2,8,7,5,4,3,1] => [2,7,5,6,8,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,5,3,8,6,7,2,1] => [2,7,5,4,3,8,6,1] => [4,2,5,8,1,7,3,6] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[2,6,8,5,4,7,3,1] => [3,2,7,5,8,6,4,1] => [2,6,3,7,5,8,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[4,3,7,8,5,6,2,1] => [2,6,4,3,8,5,7,1] => [4,2,7,1,6,3,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[3,2,8,6,7,4,5,1] => [5,3,2,7,4,8,6,1] => [3,8,1,5,2,7,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,7,4,5,6,3] => [1,8,6,7,4,5,2,3] => [1,6,8,7,2,3,5,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,8,4,6,7,3,1] => [3,7,5,8,1,4,6,2] => [8,3,7,5,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,8,7,2,5,1] => [5,7,3,4,2,6,8,1] => [4,3,5,6,1,8,7,2] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[7,3,5,8,6,2,4,1] => [4,6,8,3,2,7,5,1] => [8,6,4,1,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,5,7,4,6,2] => [1,6,8,7,3,4,5,2] => [1,8,6,7,3,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,8,4,5,7,3,1] => [3,2,7,8,4,6,5,1] => [2,7,3,6,1,8,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,2,7,1,3,8,5,6] => [7,4,1,2,8,5,3,6] => [4,8,2,3,7,1,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,1,3,8,6,7] => [5,4,1,2,3,8,6,7] => [4,5,2,3,1,8,6,7] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[3,7,1,2,5,8,6,4] => [7,1,3,6,2,8,5,4] => [3,1,7,8,4,6,2,5] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[6,4,2,3,7,1,5,8] => [7,4,2,6,1,3,5,8] => [4,7,1,6,3,5,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[7,6,3,8,1,2,5,4] => [8,1,6,5,2,7,3,4] => [5,1,6,8,4,7,3,2] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[7,4,2,3,8,1,6,5] => [8,4,2,7,6,1,3,5] => [4,7,1,6,8,5,3,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,7,5,2,8,1,3,6] => [8,5,1,4,7,3,2,6] => [4,5,2,8,7,1,6,3] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[8,2,6,3,7,1,4,5] => [7,8,6,1,4,2,3,5] => [7,6,8,3,1,5,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,5,6,1,2,4,7] => [6,1,3,2,8,5,4,7] => [3,1,8,2,6,4,5,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,5,8,1,2,4,7,3] => [8,1,7,2,6,5,4,3] => [6,1,7,3,8,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[3,7,2,4,8,1,6,5] => [8,7,3,2,6,1,4,5] => [3,6,7,1,8,5,4,2] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[4,6,3,8,1,2,5,7] => [8,1,6,4,2,3,5,7] => [4,1,6,8,3,5,2,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[5,3,8,1,6,2,4,7] => [8,6,5,2,3,1,4,7] => [5,6,8,2,3,4,1,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,1,7,5,2,3,4,8] => [6,5,2,3,7,1,4,8] => [6,7,1,2,5,4,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[6,8,1,3,7,4,5,2] => [8,5,1,7,4,6,3,2] => [5,7,2,6,1,8,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[7,2,8,1,6,3,4,5] => [8,7,6,3,4,1,2,5] => [6,7,8,1,2,5,4,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[4,7,8,2,5,1,3,6] => [5,8,1,4,2,3,7,6] => [5,4,2,7,3,1,8,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[6,8,2,7,1,4,5,3] => [7,8,5,1,4,6,2,3] => [6,5,7,3,1,8,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[4,8,7,1,3,5,6,2] => [7,6,1,4,3,5,8,2] => [4,6,2,8,1,3,7,5] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,8,7,1,2,4,6,5] => [7,1,3,2,6,4,8,5] => [3,1,6,2,8,5,7,4] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[4,8,7,1,2,3,6,5] => [7,1,2,4,6,3,8,5] => [4,1,2,6,8,5,7,3] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[5,8,7,1,3,4,6,2] => [7,6,1,3,5,4,8,2] => [5,6,2,1,8,3,7,4] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[7,1,8,6,2,3,5,4] => [7,6,2,5,3,8,1,4] => [5,7,1,8,3,6,4,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[5,8,6,4,1,2,3,7] => [4,1,2,6,5,8,3,7] => [5,1,2,4,8,6,3,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[7,8,4,1,2,5,3,6] => [4,1,8,5,3,2,7,6] => [7,1,4,5,2,3,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,1,2,6,5,3,4] => [8,1,5,3,6,2,7,4] => [5,1,7,2,6,4,8,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[6,1,2,7,5,4,3,8] => [6,1,4,5,7,2,3,8] => [4,1,7,6,5,3,2,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,2,8,7,5,4,3,6] => [1,2,4,5,7,3,8,6] => [1,2,8,4,5,3,7,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,1,5,7,4,3,8] => [2,6,4,7,1,5,3,8] => [6,2,7,4,3,1,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[6,2,3,7,4,1,5,8] => [4,7,1,6,2,3,5,8] => [7,4,2,6,3,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,4,8,7,5,6,1,2] => [6,1,3,4,7,5,8,2] => [3,1,4,8,6,2,7,5] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,8,7,4,1,5,6] => [4,2,3,7,1,5,8,6] => [2,3,8,4,1,5,7,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[5,2,7,1,4,6,8,3] => [7,5,8,1,2,4,6,3] => [7,8,5,3,4,1,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,6,7,5,2,1,8,3] => [2,5,7,4,8,6,3,1] => [6,2,4,7,5,8,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,3,1,4,5,7,8,2] => [3,6,8,2,4,5,7,1] => [7,6,3,1,2,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,7,4,1,2,6,3,8] => [4,1,7,6,5,3,2,8] => [6,1,4,5,7,2,3,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,2,8,7,6,5,3,4] => [1,2,5,3,6,7,8,4] => [1,2,8,3,5,6,7,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,4,6,8,7,5] => [3,1,2,4,7,6,8,5] => [3,1,2,4,6,8,7,5] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[4,8,2,1,6,3,7,5] => [2,8,6,4,7,1,3,5] => [4,2,6,8,7,5,3,1] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[3,8,6,5,2,7,1,4] => [7,5,3,1,6,8,2,4] => [3,5,8,2,7,6,4,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,8,5,6,1,7,4,2] => [6,4,3,7,8,5,1,2] => [3,7,8,4,6,1,5,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,5,7,8,1,2,6,4] => [8,1,3,6,5,2,7,4] => [3,1,5,6,7,4,8,2] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[3,7,2,8,4,1,6,5] => [4,8,3,7,6,2,1,5] => [4,3,7,6,8,2,5,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[2,8,7,5,1,6,4,3] => [5,2,4,7,6,3,8,1] => [2,5,8,4,6,1,7,3] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,8,6,7,5,1,4,3] => [5,2,4,1,7,8,6,3] => [2,4,8,3,5,7,1,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,1,3,4,6,7,2,8] => [5,7,1,3,4,6,2,8] => [6,5,2,1,3,7,4,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[8,6,1,4,2,3,7,5] => [6,4,2,1,8,7,5,3] => [4,8,1,3,6,7,2,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,2,8,7,5] => [6,4,3,1,7,2,8,5] => [3,4,8,2,6,5,7,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,1,4,7,8,5,2,6] => [3,5,1,4,8,2,7,6] => [4,3,2,7,5,1,8,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[6,1,7,4,3,8,2,5] => [6,8,4,7,2,1,3,5] => [7,4,8,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,8,7,4,3,6,2,5] => [1,6,4,7,2,3,8,5] => [1,6,8,4,3,5,7,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,8,6,2,1,3,7,5] => [2,6,1,4,8,7,5,3] => [4,2,1,8,6,7,3,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,7,1,3,8,2,6,5] => [7,8,1,4,6,2,3,5] => [6,4,2,7,8,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,4,7,3,6,2,8,5] => [1,6,7,4,8,3,2,5] => [1,7,4,8,6,3,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,8,3,4,2,6,7,5] => [1,4,8,3,7,2,6,5] => [1,7,4,2,8,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[8,1,4,3,6,2,7,5] => [8,6,4,1,7,3,2,5] => [4,6,8,3,7,2,5,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,2,5,8,4,3,1,6] => [3,4,8,7,2,1,5,6] => [8,4,3,7,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,5,8,7,1,6] => [7,4,2,3,5,1,8,6] => [4,5,1,2,8,3,7,6] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[6,1,8,3,4,2,7,5] => [6,4,8,3,7,1,2,5] => [6,8,4,1,7,5,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,8,6,4,2,3,7,5] => [1,4,2,6,8,7,5,3] => [1,8,2,4,6,7,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,5,7,8,1,6] => [8,2,4,3,5,1,7,6] => [2,4,5,1,7,3,8,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[3,8,6,5,4,2,1,7] => [2,4,3,5,6,8,1,7] => [3,2,8,4,5,6,1,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[7,3,8,1,2,6,4,5] => [8,1,7,6,4,2,3,5] => [6,1,7,8,2,5,4,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,1,4,5,3,2,6,8] => [7,3,5,1,4,2,6,8] => [3,7,5,2,1,4,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,1,4,8,6,3,2,7] => [5,3,6,1,4,8,2,7] => [5,8,3,2,1,6,4,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,3,1,8,4,7,2,6] => [3,5,7,8,2,1,4,6] => [8,7,3,5,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,4,8,2,1] => [2,8,5,7,6,4,3,1] => [5,2,8,6,7,1,3,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,3,6,4,5,8,2,1] => [2,8,7,6,4,3,5,1] => [6,2,7,8,1,4,3,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,1,5,4,8,6,3,2] => [7,3,6,5,1,8,4,2] => [3,7,5,8,4,6,1,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,6,3,1,8,4,7,2] => [3,6,7,8,5,2,4,1] => [7,6,3,5,8,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,7,1,4,8,6,3,2] => [7,3,6,1,5,8,4,2] => [3,7,5,2,8,6,1,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,7,4,5,8,3,2] => [6,3,8,7,4,1,5,2] => [6,8,3,7,1,5,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,5,3,7,4,8,2,1] => [2,8,5,6,7,4,3,1] => [5,2,8,7,6,1,3,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,6,3,8,1,4,7,2] => [8,7,6,1,5,3,4,2] => [5,6,7,3,8,2,1,4] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[8,5,1,7,2,6,4,3] => [5,8,4,7,6,3,2,1] => [6,4,8,5,7,1,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,6,3,1,5,2,8,4] => [3,6,5,7,4,8,1,2] => [8,3,7,5,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,8,2,6,3,4] => [5,7,8,1,6,3,2,4] => [8,6,5,3,7,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,1,5,4,8,7] => [2,6,3,5,1,4,8,7] => [3,2,5,6,4,1,8,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[5,4,2,6,1,3,8,7] => [6,4,1,5,2,3,8,7] => [4,6,2,5,3,1,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[2,5,8,1,7,4,3,6] => [8,2,4,7,5,3,1,6] => [2,4,7,5,8,1,6,3] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[6,8,2,3,7,5,1,4] => [5,7,1,2,8,6,3,4] => [7,6,2,3,5,8,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,6,2,5,4,8,1,3] => [8,6,1,5,2,7,4,3] => [5,6,2,8,4,7,1,3] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[2,1,5,8,4,3,7,6] => [2,1,4,8,5,7,3,6] => [2,1,5,4,7,8,6,3] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[4,8,3,2,1,7,6,5] => [2,3,8,4,6,7,1,5] => [4,2,3,6,8,7,5,1] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[4,1,3,7,2,6,8,5] => [4,7,1,3,8,2,6,5] => [8,4,2,1,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,1,7,2,6,4] => [8,7,3,6,5,2,1,4] => [3,5,6,7,8,2,4,1] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[7,6,4,8,1,5,3,2] => [8,3,5,6,1,7,4,2] => [3,8,5,6,4,7,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,1,8,2,6,4] => [7,8,5,6,3,2,1,4] => [6,5,8,7,2,3,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,7,6,3,8,1,4,5] => [8,2,6,1,4,7,3,5] => [2,6,8,3,1,7,5,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,1,7,6,4,8,3,5] => [2,1,8,6,3,7,4,5] => [2,1,6,8,4,7,5,3] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[2,4,3,8,7,1,5,6] => [7,2,4,3,1,5,8,6] => [2,4,8,1,3,5,7,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,4,1,8,6,2,7,5] => [4,6,3,1,8,7,5,2] => [4,3,8,2,6,7,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,4,2,6,3,1,8,7] => [3,6,4,5,1,2,8,7] => [6,3,4,5,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[8,5,2,7,3,1,4,6] => [3,7,5,2,8,4,1,6] => [8,3,7,1,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,5,2,8,4,1] => [4,8,5,6,7,3,1,2] => [8,4,7,5,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,3,1,4,2,6] => [3,5,4,2,7,1,8,6] => [8,3,4,1,5,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,3,8,4,6,2] => [7,6,5,8,1,4,3,2] => [6,7,8,5,4,1,2,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[3,7,6,4,2,8,5,1] => [5,4,3,8,6,7,1,2] => [3,5,8,4,6,7,2,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[2,1,8,7,4,3,5,6] => [2,1,4,7,3,5,8,6] => [2,1,8,4,3,5,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,1,6,3,2,4,5,7] => [8,3,6,2,4,1,5,7] => [3,8,6,1,2,5,4,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,4,8,3,6,2] => [7,6,8,1,5,3,4,2] => [6,7,5,3,8,2,1,4] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[6,1,7,5,4,8,3,2] => [6,3,8,5,7,1,4,2] => [5,7,3,8,6,4,1,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[5,4,2,6,8,3,7,1] => [7,4,5,8,3,6,2,1] => [5,7,6,4,1,8,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[7,4,2,8,1,3,6,5] => [8,4,1,7,6,3,2,5] => [4,7,2,6,8,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[2,7,8,4,5,1,3,6] => [5,2,1,8,4,3,7,6] => [2,7,1,5,3,4,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,7,3,8,4,1,2,6] => [4,1,8,7,5,3,2,6] => [7,1,4,5,8,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,4,8,1,5,6,3,7] => [8,2,6,4,1,5,3,7] => [2,4,6,8,3,1,5,7] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,4,8,1,5,2,7,6] => [8,5,3,4,1,7,2,6] => [3,4,5,7,2,8,6,1] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[4,8,1,2,5,3,6,7] => [8,1,5,4,2,3,6,7] => [4,1,5,8,3,2,6,7] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[8,1,2,4,3,5,6,7] => [8,1,4,2,3,5,6,7] => [4,1,8,3,2,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,8,7,6,3,5,2,1] => [2,5,6,4,3,7,8,1] => [5,2,4,8,1,6,7,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,8,7,6,5,2,4,1] => [4,5,3,2,6,7,8,1] => [4,3,8,1,5,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,6,8,2,5,1,4,3] => [5,8,4,1,2,7,6,3] => [5,4,7,3,2,8,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[3,5,2,4,7,6,1,8] => [6,5,3,2,4,7,1,8] => [3,5,7,1,2,6,4,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[3,5,4,7,6,1,8,2] => [6,7,3,5,4,8,2,1] => [5,3,7,8,1,6,2,4] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[3,5,7,4,6,2,1,8] => [2,6,3,7,5,4,1,8] => [3,2,6,5,7,1,4,8] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[3,5,2,7,6,4,1,8] => [4,6,3,5,1,7,2,8] => [4,3,7,5,2,6,1,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[5,3,7,6,4,1,2,8] => [4,1,6,5,2,7,3,8] => [7,1,4,5,3,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,5,7,2,6,1,4,8] => [6,7,3,1,5,2,4,8] => [5,3,6,2,7,4,1,8] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[3,5,2,7,6,1,4,8] => [6,5,3,1,2,7,4,8] => [3,5,7,2,4,6,1,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[5,3,7,6,4,1,8,2] => [4,6,7,5,1,8,3,2] => [8,5,4,7,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,1,4,8,6,2] => [5,7,3,2,6,8,4,1] => [5,3,8,1,7,6,2,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,7,5,1,4,8,2,6] => [5,7,3,2,8,1,4,6] => [7,3,8,1,5,4,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,5,7,1,2,6,8,4] => [7,1,3,8,5,2,6,4] => [3,1,7,5,8,4,2,6] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[3,5,7,2,1,6,8,4] => [2,7,3,8,5,1,6,4] => [3,2,7,5,8,4,1,6] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[3,5,2,7,1,6,4,8] => [7,5,3,6,2,1,4,8] => [3,5,7,6,2,4,1,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[5,3,7,1,6,2,4,8] => [7,6,5,2,3,1,4,8] => [5,6,7,2,3,4,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[3,5,7,1,4,6,8,2] => [7,8,3,1,5,4,6,2] => [5,3,7,2,8,1,4,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[3,5,7,1,4,6,2,8] => [7,6,3,1,5,4,2,8] => [3,5,6,2,7,1,4,8] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[3,5,7,2,1,4,6,8] => [2,7,3,1,5,4,6,8] => [3,2,5,1,7,4,6,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[3,5,2,7,1,4,6,8] => [7,5,3,1,2,4,6,8] => [3,5,7,2,4,1,6,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[3,2,5,7,4,1,6,8] => [4,3,2,7,5,1,6,8] => [3,5,1,4,7,2,6,8] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[3,5,2,7,4,1,6,8] => [4,7,3,5,1,2,6,8] => [4,3,7,5,2,1,6,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[3,5,7,4,1,2,6,8] => [4,1,3,7,5,2,6,8] => [3,1,5,4,7,2,6,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[3,5,4,7,1,6,8,2] => [7,8,3,5,4,1,6,2] => [5,3,7,8,1,4,2,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[3,2,5,4,7,1,6,8] => [7,3,2,5,4,1,6,8] => [3,5,1,7,2,4,6,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[3,5,4,7,2,1,8,6] => [2,7,3,5,4,8,1,6] => [3,2,5,8,1,7,6,4] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[3,5,4,7,1,2,8,6] => [7,1,3,5,4,8,2,6] => [3,1,5,8,2,7,6,4] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[5,7,6,3,1,8,4,2] => [3,6,4,7,5,8,1,2] => [7,3,5,4,8,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,7,6,3,1,8,2,4] => [3,6,7,2,5,8,1,4] => [7,5,3,1,8,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,5,7,4,1,2,8,6] => [4,1,3,7,5,8,2,6] => [3,1,5,4,8,7,6,2] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[3,5,2,7,1,4,8,6] => [7,5,3,1,2,8,4,6] => [3,5,8,2,4,7,6,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,5,7,2,1,4,8,6] => [2,7,3,1,5,8,4,6] => [3,2,5,1,8,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[3,7,2,5,1,8,6,4] => [5,7,3,6,2,8,1,4] => [5,3,8,7,2,6,4,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,7,2,5,1,8,4,6] => [5,7,3,8,2,4,1,6] => [7,3,8,5,2,1,6,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,2,5,7,4,8,3] => [6,1,8,7,2,5,4,3] => [8,1,6,7,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,7,4,1,8,5] => [4,3,7,6,8,1,2,5] => [4,8,3,7,6,5,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,6,8,4,1,5] => [4,2,8,7,3,1,6,5] => [2,8,4,7,1,5,3,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,8,3,4,7,5,6] => [2,1,8,3,7,5,4,6] => [2,1,7,3,8,4,6,5] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[5,1,7,2,4,8,3,6] => [5,7,8,2,1,3,4,6] => [8,7,5,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,6,7,1,8,5] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[3,5,8,7,2,1,6,4] => [2,7,3,6,5,1,8,4] => [3,2,5,6,8,4,7,1] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[2,3,4,5,6,7,1,9,8] => [7,2,3,4,5,6,1,9,8] => [2,3,4,5,6,7,1,9,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[2,1,4,5,6,7,8,9,3] => [2,1,9,4,5,6,7,8,3] => [2,1,4,5,6,7,8,9,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,8,6,4,1,7,5,2] => [4,6,3,5,8,7,1,2] => [4,3,8,6,5,7,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,3,5,6,8,1,7,2] => [8,7,4,3,5,6,1,2] => [4,5,6,1,7,8,3,2] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[3,7,6,4,1,8,5,2] => [4,6,3,5,7,8,1,2] => [4,3,8,7,5,6,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,7,4,1,8,6,5,2] => [4,7,3,5,6,8,2,1] => [4,3,8,5,7,6,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,8,4,1,7,6,5,2] => [4,8,3,5,6,7,2,1] => [4,3,8,5,6,7,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,2,7,6,1,5,4,8] => [6,3,2,5,1,7,4,8] => [3,5,1,7,4,6,2,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[3,2,8,7,6,1,5,4] => [6,3,2,5,1,7,8,4] => [3,5,1,8,4,6,7,2] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[4,2,5,8,1,7,3,6] => [8,4,7,2,5,3,1,6] => [4,7,5,2,8,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,4,2,6,5,1,3,7] => [5,4,2,6,8,1,3,7] => [6,8,1,4,5,3,2,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,2,6,8,1,5,4,7] => [8,3,2,5,1,6,4,7] => [3,5,1,6,4,8,2,7] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[8,3,2,5,6,1,4,7] => [6,3,8,1,2,5,4,7] => [6,8,3,2,4,1,5,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,2,6,7,1,5,4,8] => [7,3,2,5,1,6,4,8] => [3,5,1,6,4,7,2,8] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[8,3,5,4,1,6,2,7] => [4,5,6,8,1,2,3,7] => [8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,4,1,5,2,7] => [4,5,6,3,1,8,2,7] => [8,5,4,1,3,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,6,8,2,3,1] => [3,8,2,5,4,7,6,1] => [5,3,1,7,2,8,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,1,8,2,3,7,6,5] => [4,8,2,1,6,7,3,5] => [6,4,1,3,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,1,8,5,3,4,7,6] => [2,1,5,3,8,7,4,6] => [2,1,7,3,5,8,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[5,2,4,6,8,7,3,1] => [3,7,5,1,4,6,8,2] => [6,3,5,2,1,8,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,7,4,8,6,1,3,2] => [6,3,1,8,5,7,2,4] => [3,6,2,5,8,7,4,1] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[6,4,2,7,3,5,8,1] => [8,4,6,7,2,3,5,1] => [4,8,7,6,2,3,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,8,3,5,6,2] => [4,7,6,8,1,5,2,3] => [8,6,7,4,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,2,1,3,6,5] => [2,4,1,7,6,3,8,5] => [6,2,1,4,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,7,4,3,8,5,6,1] => [6,2,4,7,8,5,3,1] => [2,7,8,4,6,1,3,5] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[8,3,7,2,1,5,6,4] => [2,7,8,6,1,5,3,4] => [7,2,6,8,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,7,8,2,4,3,1,6] => [3,4,8,1,5,2,7,6] => [5,4,3,2,7,1,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[8,2,7,3,4,1,5,6] => [4,8,7,3,1,5,2,6] => [8,4,7,1,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,6,7,1,4,3] => [7,2,4,1,8,5,6,3] => [2,4,8,3,7,1,5,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,6,8,5,1,4,7,3] => [5,2,8,3,7,6,4,1] => [2,7,5,1,6,8,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,4,2,8,6,5,7,3] => [1,4,7,2,6,8,5,3] => [1,7,4,3,8,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,5,1,6,8,7,2,4] => [5,7,3,2,1,6,8,4] => [5,3,6,1,4,8,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[5,7,6,2,1,3,8,4] => [2,6,1,7,5,8,4,3] => [7,2,1,5,8,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,6,2,4,5,1,8,3] => [5,6,7,3,4,8,1,2] => [8,7,5,1,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,2,5,8,6,1] => [6,4,8,1,2,7,5,3] => [6,8,4,3,2,7,1,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,4,5,2,6,7,3] => [8,5,7,1,4,2,6,3] => [5,8,7,3,1,4,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,6,2,1,3,7,4] => [2,6,1,7,8,5,3,4] => [8,2,1,7,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,2,4,6,1,8] => [6,5,7,2,3,4,1,8] => [6,7,5,2,3,1,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[5,3,7,2,4,6,1,8] => [6,7,5,2,3,4,1,8] => [6,5,7,2,3,1,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,5,3,2,4,7,6,8] => [1,3,5,2,4,7,6,8] => [1,5,3,2,4,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,5,3,2,7,4,6,8] => [1,3,5,7,2,4,6,8] => [1,7,3,5,4,2,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,7,3,2,4,1,6,8] => [4,3,7,2,5,1,6,8] => [4,5,3,1,7,2,6,8] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[5,1,3,2,4,7,6,8] => [5,3,1,2,4,7,6,8] => [3,5,2,1,4,7,6,8] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[5,1,3,2,7,4,6,8] => [5,3,1,7,2,4,6,8] => [3,7,2,5,4,1,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,1,3,2,5,4,6,8] => [7,3,1,5,2,4,6,8] => [3,5,2,7,4,1,6,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,7,3,2,5,4,6,8] => [1,3,7,5,2,4,6,8] => [1,5,3,7,4,2,6,8] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[7,1,3,5,2,4,6,8] => [7,5,1,2,3,4,6,8] => [5,7,2,3,4,1,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[5,1,3,7,2,4,6,8] => [5,7,1,2,3,4,6,8] => [7,5,2,3,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,2,7,5,1,4,6,8] => [5,3,2,1,7,4,6,8] => [3,7,1,2,5,4,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[3,7,5,1,2,4,6,8] => [5,1,3,2,7,4,6,8] => [3,1,7,2,5,4,6,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[5,7,3,1,2,4,6,8] => [3,1,7,2,5,4,6,8] => [5,1,3,2,7,4,6,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[5,3,2,4,7,1,6,8] => [7,3,5,2,4,1,6,8] => [3,7,5,1,2,4,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,3,2,1,7,4,6,8] => [2,3,5,7,1,4,6,8] => [7,2,3,5,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,3,2,7,5,4,6,8] => [1,3,2,5,7,4,6,8] => [1,3,2,7,5,4,6,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,3,7,2,5,4,6,8] => [1,7,3,5,2,4,6,8] => [1,3,5,7,4,2,6,8] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[5,3,1,2,4,7,6,8] => [3,1,5,2,4,7,6,8] => [5,1,3,2,4,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[3,2,5,1,4,7,6,8] => [5,3,2,1,4,7,6,8] => [3,5,1,2,4,7,6,8] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[7,3,1,5,2,4,6,8] => [3,7,5,1,2,4,6,8] => [7,3,5,2,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,3,7,5,2,4,6,8] => [1,5,3,2,7,4,6,8] => [1,3,7,2,5,4,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[7,5,1,3,2,4,6,8] => [5,3,1,2,7,4,6,8] => [3,7,2,1,5,4,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,7,1,3,2,4,6,8] => [7,3,1,2,5,4,6,8] => [3,5,2,1,7,4,6,8] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[3,7,1,5,2,4,6,8] => [7,5,3,2,1,4,6,8] => [3,5,7,1,4,2,6,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[3,1,2,7,5,4,6,8] => [3,1,2,5,7,4,6,8] => [3,1,2,7,5,4,6,8] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[3,1,7,2,5,4,6,8] => [3,7,1,5,2,4,6,8] => [5,3,2,7,4,1,6,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[3,1,7,5,2,4,6,8] => [3,5,1,2,7,4,6,8] => [7,3,2,1,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,7,5,3,2,4,6,8] => [1,3,5,2,7,4,6,8] => [1,7,3,2,5,4,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,2,3,4,5,7,9,6,8] => [1,2,3,4,5,9,7,6,8] => [1,2,3,4,5,7,9,6,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,3,4,6,9,5,7,8] => [1,2,3,4,9,6,5,7,8] => [1,2,3,4,6,9,5,7,8] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,3,5,9,4,6,7,8] => [1,2,3,9,5,4,6,7,8] => [1,2,3,5,9,4,6,7,8] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,4,9,3,5,6,7,8] => [1,2,9,4,3,5,6,7,8] => [1,2,4,9,3,5,6,7,8] => [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,9,2,4,5,6,7,8] => [1,9,3,2,4,5,6,7,8] => [1,3,9,2,4,5,6,7,8] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,3,6,2,4,7,1] => [7,6,5,2,8,3,4,1] => [6,7,8,2,5,3,1,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,7,6,3,4,1,5,2] => [4,5,6,3,1,7,8,2] => [8,5,4,1,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,4,8,1,3,6] => [8,2,1,5,7,3,4,6] => [2,5,1,8,7,4,6,3] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,7,5,4,8,6,1,3] => [6,2,1,5,8,7,3,4] => [2,6,1,8,5,7,4,3] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,5,1,4,8,7,3,6] => [5,2,7,1,4,3,8,6] => [2,8,5,3,1,4,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,4,8,1,2,7] => [8,1,3,6,5,4,2,7] => [3,1,5,6,8,2,4,7] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[3,6,4,1,8,7,2,5] => [4,6,3,7,1,2,8,5] => [6,3,8,4,2,5,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,1,5,6,3,8,4,2] => [7,4,8,6,1,5,2,3] => [6,8,4,7,3,1,5,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,2,6,5,3,8,1,4] => [8,7,5,1,6,2,3,4] => [5,6,8,3,7,4,2,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[7,2,3,1,4,8,6,5] => [3,7,2,1,6,8,4,5] => [7,3,1,2,8,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,6,4,5,8,1,7,3] => [8,2,7,6,4,5,1,3] => [2,6,7,8,1,3,5,4] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,5,6,4,8,3,7,2] => [1,7,8,6,5,4,3,2] => [1,6,5,7,8,2,3,4] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,5,6,1,4,7,8,2] => [6,8,3,1,5,4,7,2] => [5,3,6,2,7,1,8,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[7,6,1,3,4,5,8,2] => [6,7,2,3,4,8,5,1] => [8,7,1,2,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,5,3,4,8,2] => [6,7,5,3,2,8,4,1] => [7,5,8,1,3,6,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,5,6,8,2,1,7,4] => [2,8,3,7,5,6,1,4] => [3,2,5,6,7,8,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[4,2,5,6,3,1,8,7] => [3,6,4,1,5,2,8,7] => [5,3,4,2,6,1,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[3,5,6,8,1,7,2,4] => [8,7,3,2,5,6,1,4] => [3,5,6,1,7,8,4,2] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[4,1,5,6,3,2,8,7] => [4,3,6,1,5,2,8,7] => [4,5,3,2,6,1,8,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[4,5,3,1,7,2,8,6] => [3,5,7,4,2,8,1,6] => [5,4,3,8,1,7,6,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,5,7,1,8,4,2,6] => [7,4,3,8,5,2,1,6] => [3,5,7,4,8,1,6,2] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[4,5,3,7,1,2,8,6] => [7,1,5,4,3,8,2,6] => [4,1,5,8,2,7,6,3] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[5,1,3,2,4,6,7,8] => [5,3,1,2,4,6,7,8] => [3,5,2,1,4,6,7,8] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[5,1,3,4,2,6,7,8] => [5,4,1,3,2,6,7,8] => [4,5,2,1,3,6,7,8] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[5,3,1,4,2,6,7,8] => [3,5,4,2,1,6,7,8] => [5,3,4,1,2,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[4,2,6,1,3,7,5,8] => [6,4,1,2,7,3,5,8] => [4,7,2,3,6,5,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[3,6,2,1,7,4,8,5] => [2,6,3,7,8,1,4,5] => [3,2,8,7,6,5,4,1] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,6,2,7,1,3,5,8] => [7,6,1,4,3,2,5,8] => [4,6,2,7,1,5,3,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[3,5,7,1,8,2,6,4] => [7,8,3,6,5,2,1,4] => [5,3,6,7,8,2,4,1] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[5,1,4,2,3,6,7,8] => [5,4,2,1,3,6,7,8] => [4,5,1,3,2,6,7,8] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[3,6,1,7,2,5,8,4] => [6,7,3,8,2,1,5,4] => [7,3,8,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,1,7,5,4,2,8] => [6,4,3,5,7,1,2,8] => [3,4,7,6,5,2,1,8] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[5,1,4,3,2,6,7,8] => [5,3,4,1,2,6,7,8] => [3,5,4,2,1,6,7,8] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[4,6,2,3,5,1,8,7] => [5,6,2,4,3,1,8,7] => [5,4,1,6,2,3,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[6,2,4,5,1,8,3,7] => [5,6,8,2,4,1,3,7] => [8,6,5,2,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,7,1,4,5,3] => [7,8,5,1,4,2,6,3] => [7,5,8,3,1,4,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,8,4,5,7,2,3,1] => [3,7,2,8,4,6,5,1] => [7,3,1,6,2,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,6,1,4,8,5,3,7] => [6,2,5,1,8,4,3,7] => [2,6,8,3,5,1,4,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,3,6,1,8,5,7] => [6,4,2,3,8,1,5,7] => [4,8,1,2,6,5,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,1,6,8,5,7] => [3,4,2,1,8,6,5,7] => [4,3,1,2,6,8,5,7] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[4,2,3,8,6,1,7,5] => [6,4,2,3,8,7,5,1] => [4,8,1,2,6,7,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,8,2,3,7,1] => [7,8,2,6,4,5,3,1] => [7,6,1,8,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,8,5,2,3,7,1] => [7,5,2,8,6,3,4,1] => [6,8,1,5,7,3,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,2,8,3,1,6,7,5] => [3,8,4,1,7,2,6,5] => [7,3,4,2,8,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,4,8,1,3,6,7,5] => [8,2,1,4,7,3,6,5] => [2,4,1,7,8,5,3,6] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[2,4,1,8,3,6,7,5] => [4,2,8,1,7,3,6,5] => [2,7,4,3,8,5,1,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,1,4,8,6,3,7,5] => [2,1,6,4,8,7,5,3] => [2,1,4,8,6,7,3,5] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[6,4,8,2,5,3,7,1] => [7,8,5,6,2,4,3,1] => [6,5,8,7,3,1,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,6,8,4,1,5,7,3] => [4,2,8,7,3,6,5,1] => [2,7,4,6,1,8,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,8,1,4,5,7,3] => [8,2,7,1,4,6,5,3] => [2,6,7,3,1,8,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[2,1,6,8,4,5,7,3] => [2,1,7,8,4,6,5,3] => [2,1,7,6,3,8,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,8,1,4,6,7,3,5] => [8,2,7,1,3,4,6,5] => [2,7,8,3,4,5,1,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,8,6,2,3,7,5,1] => [5,7,1,4,6,8,3,2] => [5,4,2,8,7,6,1,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,4,2,6,7,3,1,5] => [3,7,4,8,2,1,6,5] => [8,3,7,4,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,5,1,3,8,2] => [5,8,1,6,4,7,3,2] => [8,5,2,6,1,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,3,8,4,1,5] => [4,8,1,6,2,7,3,5] => [8,4,2,6,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,5,8,2,3,4] => [1,8,2,3,7,6,5,4] => [1,6,2,3,7,8,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[6,2,5,8,3,4,7,1] => [7,6,8,3,2,5,4,1] => [7,8,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,4,7,3,5,8,6,1] => [6,2,8,4,1,7,5,3] => [2,6,4,8,3,7,1,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,4,5,3,8,1,7,2] => [8,7,5,6,4,3,1,2] => [5,6,8,7,1,2,4,3] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[4,6,5,3,7,1,2,8] => [7,1,5,4,6,3,2,8] => [4,1,5,7,6,2,3,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[4,5,1,3,6,2,8,7] => [5,6,1,4,3,2,8,7] => [5,4,2,6,1,3,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,2,6,5,1,7,3,8] => [5,4,6,2,7,3,1,8] => [6,7,4,2,5,1,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[3,4,7,6,8,1,2,5] => [8,1,3,4,2,7,6,5] => [3,1,4,7,2,8,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[3,5,2,4,6,1,8,7] => [6,5,3,2,4,1,8,7] => [3,5,6,1,2,4,8,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[4,2,5,1,6,8,3,7] => [5,4,8,2,1,6,3,7] => [5,6,4,2,3,8,1,7] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,8,2,3,6,5,7,4] => [1,8,2,7,6,3,5,4] => [1,6,2,7,8,5,3,4] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,2,8,3,5,7,1,6] => [7,4,8,2,3,1,5,6] => [7,8,4,2,1,5,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,3,7,2,6,5,8,4] => [1,7,3,8,6,2,5,4] => [1,3,7,6,8,5,2,4] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,3,6,4,2,5,8,7] => [1,4,3,6,2,5,8,7] => [1,3,6,4,2,5,8,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,5,4,7,3,6,8,2] => [1,8,7,5,4,3,6,2] => [1,5,7,8,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[5,2,3,8,4,1,7,6] => [4,8,1,5,3,7,2,6] => [7,4,2,5,1,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,2,8,3,4,1,5,6] => [4,7,8,3,1,5,2,6] => [8,7,4,1,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,7,8,2,4,5] => [1,8,6,2,4,3,7,5] => [1,6,7,3,2,5,8,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[4,2,6,7,5,8,1,3] => [8,4,1,2,7,6,5,3] => [4,6,2,3,7,8,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[5,1,3,8,7,6,4,2] => [5,4,1,6,3,7,8,2] => [5,8,2,4,1,6,7,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,8,4,6,7,2,5,3] => [1,7,5,8,2,4,6,3] => [1,7,8,5,4,2,3,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,8,3,7,1,6,4] => [7,5,8,6,2,1,3,4] => [6,8,5,7,3,4,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,4,5,8,6,1,3,2] => [6,3,1,8,2,7,5,4] => [3,8,2,6,4,7,1,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,8,7,1,4,2] => [7,4,3,1,6,5,8,2] => [3,4,6,2,8,1,7,5] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[6,5,3,8,2,7,4,1] => [4,7,8,5,6,1,3,2] => [8,5,4,6,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,1,3,7,5,2] => [8,5,1,7,6,2,3,4] => [5,8,2,6,7,4,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,8,3,4,7,5,1] => [5,7,6,1,8,3,4,2] => [8,6,7,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,1,4,2,5,8] => [3,6,4,2,1,7,5,8] => [7,3,4,1,2,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,5,4,3,7,8,2,6] => [1,8,4,5,3,2,7,6] => [1,4,7,5,2,3,8,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[7,8,4,2,5,3,1,6] => [3,5,4,8,1,2,7,6] => [7,3,5,4,2,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,2,7,6,3,1,5,8] => [3,6,4,1,2,7,5,8] => [7,3,4,2,1,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,3,1,7,5,2,4,8] => [3,6,5,1,7,2,4,8] => [7,3,6,2,5,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,3,1,8,4,2,5] => [3,6,4,7,2,8,1,5] => [8,3,7,4,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,2,1,8,3,5] => [2,4,6,7,3,8,1,5] => [8,2,7,4,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,7,6,4,3,5] => [1,8,4,6,3,7,2,5] => [1,4,8,6,2,7,5,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,4,2,5,7,6,3,1] => [3,6,4,7,2,8,5,1] => [8,3,7,4,1,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,6,3,7,4,1] => [4,7,5,6,3,8,1,2] => [8,4,7,5,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,4,7,5,2,1] => [2,5,7,8,6,4,1,3] => [8,2,6,5,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,4,1,8,6,3] => [4,7,5,6,3,8,2,1] => [8,4,7,5,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,7,4,1,6,3] => [4,7,5,6,3,2,8,1] => [8,4,6,5,1,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,1,5,2,6,3] => [4,7,5,6,2,3,8,1] => [8,4,6,5,2,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,2,8,6,3] => [4,7,5,6,2,8,3,1] => [8,4,7,5,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,6,5,8,2,4] => [1,8,3,2,6,7,5,4] => [1,3,6,2,8,7,4,5] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[8,6,4,7,5,2,1,3] => [2,5,1,7,6,8,3,4] => [8,2,1,5,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,5,7,6,4,3] => [1,8,4,6,2,7,5,3] => [1,4,8,6,3,7,2,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,6,3,5,2,7,4,1] => [4,7,5,6,1,8,3,2] => [8,4,7,5,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,2,8,7,4,1] => [4,7,5,6,1,3,8,2] => [8,4,6,5,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,8,2,7,3,6] => [1,8,7,4,5,3,2,6] => [1,4,5,7,8,2,6,3] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[4,2,5,7,8,1,6,3] => [8,4,6,2,5,1,7,3] => [4,6,5,2,7,3,8,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[8,3,4,6,5,1,7,2] => [5,6,7,1,8,4,2,3] => [8,7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,7,4,2,5,8] => [6,4,1,7,2,3,5,8] => [6,7,2,4,3,5,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[3,1,6,8,2,7,4,5] => [3,8,1,7,4,6,2,5] => [6,3,2,7,1,8,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,1,3,8,2,5,4,7] => [6,8,1,5,2,3,4,7] => [6,5,2,8,4,3,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,2,3,1,6,7,5] => [3,8,2,4,7,1,6,5] => [4,3,1,7,8,5,2,6] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[3,2,6,8,1,5,7,4] => [8,3,2,7,1,6,5,4] => [3,6,1,7,4,8,2,5] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[8,2,6,1,5,4,7,3] => [6,8,7,5,1,2,4,3] => [7,5,6,8,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,6,2,7,1,5,4,3] => [7,6,4,5,1,8,2,3] => [4,5,8,7,3,6,2,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[5,7,4,2,8,1,6,3] => [8,4,7,6,5,1,3,2] => [4,7,5,6,8,3,1,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,3,7,2,8,1,5,4] => [8,7,6,5,1,3,2,4] => [5,6,7,8,4,2,3,1] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[4,5,7,2,8,1,6,3] => [8,7,6,4,5,1,2,3] => [4,5,6,7,8,3,2,1] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[4,5,6,8,3,1,7,2] => [3,8,7,4,5,6,2,1] => [5,3,4,6,7,8,1,2] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[8,4,6,5,3,1,7,2] => [3,5,6,7,8,2,1,4] => [8,7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,6,2,3,7,5] => [8,6,2,4,7,1,3,5] => [4,6,1,8,7,5,3,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[4,5,3,1,7,2,6,8] => [3,5,7,4,2,1,6,8] => [5,4,3,7,1,2,6,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[7,8,1,2,4,3,6,5] => [8,1,4,2,6,3,7,5] => [4,1,6,3,7,5,8,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[4,1,3,6,5,7,8,2] => [4,8,1,3,6,5,7,2] => [6,4,2,1,7,3,8,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,2,4,1,3,7,8,6] => [4,5,1,2,3,8,7,6] => [5,4,2,3,1,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[2,6,5,3,1,7,8,4] => [3,2,5,6,8,4,7,1] => [2,7,3,6,5,1,8,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,7,4,3,6,8,2,5] => [1,8,4,7,2,3,6,5] => [1,4,8,7,3,5,2,6] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,7,6,3,1,8,4,5] => [3,2,6,7,1,8,4,5] => [2,8,3,7,4,6,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,6,2,7,1,5,3] => [7,6,5,4,1,8,2,3] => [4,5,7,8,3,6,2,1] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[4,7,5,3,8,2,1,6] => [2,8,5,4,7,1,3,6] => [4,2,5,8,7,3,6,1] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,6,5,8,3,4,2,7] => [1,4,8,3,6,5,2,7] => [1,6,4,2,8,3,5,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[8,1,5,4,7,2,6,3] => [8,7,6,5,1,2,4,3] => [5,6,7,8,4,3,1,2] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[4,7,2,8,5,6,3,1] => [3,6,7,4,8,5,1,2] => [7,4,3,8,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,6,8,5,3,1,2] => [3,1,5,4,8,7,6,2] => [4,1,3,7,5,8,2,6] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[3,8,7,5,6,4,2,1] => [2,4,3,6,7,5,8,1] => [3,2,8,4,6,1,7,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,8,7,6,5,3,4,2] => [1,4,5,3,6,7,8,2] => [1,8,4,2,5,6,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,2,5,3,1,8] => [3,5,7,4,1,6,2,8] => [5,4,3,6,2,7,1,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[3,6,7,4,8,1,5,2] => [8,5,3,7,1,6,4,2] => [3,5,7,6,4,8,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[3,8,5,7,6,1,4,2] => [6,4,3,1,7,8,2,5] => [3,4,8,2,7,6,5,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,1,7,8,2,6,5,4] => [3,8,1,5,6,2,7,4] => [5,3,2,7,6,4,8,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[6,1,3,8,2,7,5,4] => [6,8,1,5,7,3,2,4] => [7,5,2,8,6,3,4,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,1,8,4,2,7,6,3] => [5,4,8,6,1,7,3,2] => [6,8,4,5,3,7,1,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,6,1,7,5,4,3] => [6,8,4,5,7,2,1,3] => [5,4,8,7,6,2,3,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,8,3,7,1,5,4,2] => [7,4,5,8,1,6,2,3] => [5,7,6,4,3,8,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[2,6,8,4,1,7,5,3] => [4,2,8,5,7,6,3,1] => [2,7,4,5,6,8,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,5,8,6,3,1,7,2] => [3,6,8,4,5,7,1,2] => [5,4,3,6,8,7,2,1] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[5,7,4,1,2,8,6,3] => [4,1,7,6,5,8,3,2] => [7,1,4,5,8,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,3,7,1,2,8,5,4] => [7,1,6,5,8,3,2,4] => [6,1,7,8,5,3,4,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,5,3,7,2,4,6,1] => [6,7,5,2,8,4,3,1] => [7,6,8,2,5,1,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,7,2,4,8,5,3,6] => [1,7,5,2,8,3,4,6] => [1,7,8,3,5,4,6,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,7,8,5,4,3,2,6] => [1,3,4,5,8,2,7,6] => [1,7,3,4,5,2,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,2,6,7,8,4,3,5] => [1,2,4,8,3,6,7,5] => [1,2,6,4,3,7,8,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[2,7,5,8,4,1,3,6] => [4,2,1,8,7,3,5,6] => [2,7,1,4,8,5,6,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,7,8,2,1,5,4,6] => [2,8,3,5,1,4,7,6] => [3,2,5,7,4,1,8,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[8,4,7,5,3,6,1,2] => [6,1,5,7,8,4,3,2] => [7,1,8,6,5,2,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,4,6,7,3,5,2] => [8,5,7,1,3,4,6,2] => [5,8,7,3,2,1,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,5,8,6,7,4,1,2] => [4,1,3,7,5,8,6,2] => [3,1,5,4,8,7,2,6] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[3,6,8,4,7,1,5,2] => [7,5,3,8,1,6,4,2] => [3,6,7,5,4,8,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[4,7,1,3,6,8,2,5] => [7,8,1,4,2,3,6,5] => [7,4,2,8,3,5,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,3,6,7,4,2,8,5] => [1,4,3,7,8,6,2,5] => [1,3,7,4,6,8,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[3,6,4,8,2,7,5,1] => [5,7,3,8,6,1,4,2] => [6,3,8,5,7,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,3,2,1,5,6,4] => [2,3,7,6,1,5,8,4] => [6,2,3,8,4,1,7,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,2,6,7,3,1,5,4] => [3,7,8,5,2,1,6,4] => [7,5,3,8,2,4,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,8,2,3,6,5,4,7] => [1,8,2,5,6,3,4,7] => [1,5,2,8,6,4,3,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,5,8,4,7,2,6,1] => [6,7,3,8,5,2,4,1] => [6,3,7,5,8,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,8,5,4,6,2,3,7] => [1,6,2,5,8,4,3,7] => [1,6,2,8,5,3,4,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,8,5,4,6,1,3,7] => [6,2,1,5,8,4,3,7] => [2,6,1,8,5,3,4,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,8,5,4,6,3,1,7] => [3,2,6,5,8,4,1,7] => [2,6,3,8,5,1,4,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,5,8,1,7,6,2,3] => [8,6,2,4,5,7,1,3] => [4,5,1,6,8,7,3,2] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[3,5,8,4,7,1,6,2] => [7,6,3,8,5,1,4,2] => [3,6,7,5,8,4,1,2] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[3,6,4,1,7,8,5,2] => [4,6,3,5,8,2,7,1] => [4,3,7,6,5,1,8,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[3,6,4,8,7,5,2,1] => [2,5,3,7,6,1,8,4] => [3,2,8,5,6,4,7,1] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,2,7,8,3,5] => [1,4,6,8,2,3,7,5] => [1,7,6,4,3,5,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,6,4,3,7,1,8,5] => [7,2,4,6,8,3,1,5] => [2,4,8,7,6,3,5,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,2,3,1,8,6,4,5] => [3,7,2,6,4,8,1,5] => [7,3,1,8,2,6,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,2,4,3,8,5,7,6] => [1,2,4,3,8,7,5,6] => [1,2,4,3,7,8,6,5] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[7,3,8,6,1,4,2,5] => [6,4,8,3,2,7,1,5] => [6,8,4,1,2,7,5,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,2,8,6,3,4,1,5] => [4,7,6,3,1,8,2,5] => [8,4,7,1,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,1,5,6,8,4] => [3,7,2,8,1,5,6,4] => [8,3,1,7,4,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,8,5,6,4,1] => [4,6,1,7,8,5,3,2] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,7,6,2,3] => [1,6,2,7,5,8,3,4] => [1,7,2,5,8,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,5,8,1,6,7,2,4] => [8,7,3,2,5,1,6,4] => [3,5,7,1,8,4,2,6] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[7,6,1,3,5,8,2,4] => [6,7,2,1,3,8,5,4] => [8,7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,8,2,6,5,4] => [7,8,1,5,6,2,3,4] => [6,5,2,8,7,4,3,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,1,6,5,8,4,7,2] => [3,7,1,8,6,5,4,2] => [7,3,2,6,8,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,2,6,5,8,4,7,1] => [7,3,2,8,6,5,4,1] => [3,7,1,6,8,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[4,3,7,1,6,5,8,2] => [7,8,4,3,6,1,5,2] => [6,4,7,1,8,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,1,6,4,8,3,7,2] => [5,7,8,6,1,4,3,2] => [8,6,5,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,5,8,1,6,2] => [8,6,4,3,7,1,5,2] => [4,6,8,1,7,5,2,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,3,7,1,5,2,8,6] => [7,5,4,3,1,8,2,6] => [4,5,8,1,3,7,6,2] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,3,7,1,6,2,8,5] => [7,6,4,3,8,1,2,5] => [4,7,8,1,6,5,3,2] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[5,4,8,1,6,3,7,2] => [8,7,6,5,4,1,3,2] => [5,6,7,8,1,4,2,3] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[5,1,2,7,6,3,8,4] => [5,1,6,7,2,8,4,3] => [8,1,7,5,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,7,3,5,1,6] => [5,8,7,4,3,1,2,6] => [7,4,5,8,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,1,8,7,6,3,2,5] => [4,3,6,1,2,7,8,5] => [4,8,3,2,1,6,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,8,3,5,1,6] => [5,7,8,4,3,1,2,6] => [7,5,4,8,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,2,6,8,3,7,4,5] => [1,2,8,7,4,6,3,5] => [1,2,6,7,3,8,5,4] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[6,8,3,2,1,4,7,5] => [2,3,8,1,7,6,4,5] => [6,2,3,1,7,8,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[7,2,4,1,6,5,8,3] => [4,7,8,2,6,1,5,3] => [7,6,4,2,8,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,2,4,1,3,7,5] => [4,8,1,2,7,6,3,5] => [6,4,2,3,7,8,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[8,4,6,5,7,3,2,1] => [2,3,7,8,6,4,5,1] => [7,2,3,6,8,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,2,6,7,3,8,4,1] => [4,8,5,7,3,6,1,2] => [7,4,6,5,1,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,8,4,7,6,3,5,1] => [5,2,6,7,4,8,3,1] => [2,8,7,5,1,6,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,5,1,6,8,2] => [5,7,3,4,8,2,6,1] => [4,3,7,8,5,1,2,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[7,1,2,6,5,8,4,3] => [7,1,4,8,6,2,5,3] => [6,1,7,4,8,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,4,6,5,7,3,1,2] => [3,1,7,8,6,4,5,2] => [7,1,3,6,8,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,2,5,7,3,8,4,1] => [4,8,6,7,3,5,1,2] => [8,4,7,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,3,8,5,6,1] => [6,4,7,2,8,5,3,1] => [7,8,4,2,6,1,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,5,2,6,8,3,7,1] => [7,5,8,4,2,6,3,1] => [5,6,4,7,2,8,1,3] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[4,8,3,2,5,7,6,1] => [6,3,7,4,1,8,5,2] => [4,7,3,8,2,6,1,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[2,6,8,5,3,4,7,1] => [7,2,5,3,8,6,4,1] => [2,6,7,1,5,8,3,4] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[7,2,4,3,8,5,6,1] => [6,7,4,2,8,5,3,1] => [7,4,8,2,6,1,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,8,5,3,4,7,2,1] => [2,7,5,3,8,6,4,1] => [6,2,7,1,5,8,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[6,1,7,5,8,4,2,3] => [6,4,2,8,7,1,5,3] => [6,8,1,4,7,5,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,7,6,2,3,5,1] => [5,6,2,7,4,8,3,1] => [8,7,1,5,2,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,4,7,2,5,1] => [5,7,8,3,2,6,4,1] => [7,6,5,1,3,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,8,3,5,2,6,7,4] => [1,5,8,7,3,2,6,4] => [1,8,5,7,3,4,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,8,2,6,1] => [6,8,5,3,7,2,4,1] => [7,5,8,1,6,3,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,7,2,8,5,4,3,1] => [3,4,5,8,7,6,1,2] => [7,5,3,4,6,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,4,2,3,8,5,6,1] => [6,4,2,7,8,5,3,1] => [7,8,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,8,5,4,2,3,7,1] => [7,4,2,5,8,6,3,1] => [4,7,1,6,5,8,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,8,4,7,1,3,5,2] => [7,5,1,8,3,6,4,2] => [6,7,2,5,3,8,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[5,8,2,4,3,7,6,1] => [6,7,4,1,5,8,3,2] => [5,4,7,3,8,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,8,3,4,5,2,7,1] => [7,5,8,3,4,6,2,1] => [6,7,5,1,2,8,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,7,1,5,3,8,4,2] => [7,4,8,5,1,6,2,3] => [5,7,4,6,3,8,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[8,1,2,4,3,6,7,5] => [8,1,4,2,7,3,6,5] => [4,1,7,3,8,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[10,2,1,4,3,6,5,8,7,9] => [2,10,4,1,6,3,8,5,7,9] => [4,2,6,3,8,5,10,7,1,9] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[10,1,3,2,5,4,7,6,9,8] => [10,3,1,5,2,7,4,9,6,8] => [3,5,2,7,4,9,6,10,8,1] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[12,1,3,2,5,4,7,6,9,8,11,10] => [12,3,1,5,2,7,4,9,6,11,8,10] => [3,5,2,7,4,9,6,11,8,12,10,1] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[6,5,3,8,4,2,7,1] => [7,4,8,5,6,2,3,1] => [5,8,4,6,7,2,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,6,2,8,3] => [5,6,8,7,4,1,2,3] => [8,7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,1,3,5,2] => [4,8,2,5,3,6,7,1] => [6,4,1,5,2,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[2,4,7,5,8,6,1,3] => [6,2,1,4,8,7,3,5] => [2,4,1,8,6,7,5,3] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,4,6,7,8,1,5,3] => [8,2,5,4,1,6,7,3] => [2,4,5,6,3,7,8,1] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[7,4,3,8,6,2,1,5] => [2,6,4,8,3,7,1,5] => [6,2,8,4,1,7,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,5,2,7,8,1,4,6] => [8,5,3,1,2,4,7,6] => [3,5,7,2,4,1,8,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[4,3,6,2,1,8,5,7] => [2,6,4,3,8,1,5,7] => [4,2,8,1,6,5,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,6,4,2,5,8,1,7] => [8,4,3,6,2,5,1,7] => [3,4,8,6,1,2,5,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,6,2,3,7,5,8,1] => [8,6,2,4,7,3,5,1] => [4,6,1,8,7,3,2,5] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,6,4,2,7,5,1,8] => [5,4,3,7,6,1,2,8] => [3,5,7,4,6,2,1,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[6,4,8,3,2,1,5,7] => [2,3,8,6,1,4,5,7] => [6,2,3,8,4,5,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,8,3,4,2,1,7,6] => [2,4,8,3,5,7,1,6] => [5,2,4,1,7,8,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[6,4,8,3,2,7,1,5] => [7,3,8,6,1,4,2,5] => [6,7,3,8,4,2,5,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,6,8,3,2,7,1,4] => [7,3,8,1,5,6,2,4] => [5,6,3,2,7,8,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[2,8,5,7,4,1,6,3] => [4,2,7,6,8,3,5,1] => [2,8,4,7,6,3,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,4,1,8,7,3] => [4,2,6,7,5,3,8,1] => [2,6,5,4,8,1,7,3] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,8,6,4,5,7,1,3] => [7,2,1,6,4,8,5,3] => [2,7,1,8,3,6,4,5] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,8,6,2,5,7,1,4] => [7,6,3,1,2,8,5,4] => [3,7,8,2,4,6,1,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,6,5,4,1,7,8,3] => [4,2,5,6,8,1,7,3] => [2,7,6,4,5,3,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,4,7,3,8,2,1,5] => [2,8,7,6,1,4,3,5] => [6,2,7,8,4,3,5,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[3,6,4,2,7,1,8,5] => [7,4,3,6,8,2,1,5] => [3,4,8,7,6,2,5,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,4,2,3,8,6,1] => [6,4,1,5,8,7,3,2] => [4,8,2,6,5,7,1,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,3,2,1,8,5] => [2,3,4,7,8,6,1,5] => [7,2,3,4,6,8,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,4,3,6,2,1,7,5] => [2,6,4,8,7,3,1,5] => [6,2,8,4,7,3,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,2,6,5,8,7,3,4] => [1,2,7,3,6,5,8,4] => [1,2,6,3,8,4,7,5] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,5,2,7,4,6,8,3] => [1,5,8,7,2,4,6,3] => [1,8,5,7,4,2,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,3,6,8,4] => [5,1,7,8,2,3,6,4] => [8,1,7,5,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,4,8,7,2,1] => [2,7,5,3,6,4,8,1] => [5,2,8,1,6,3,7,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,1,2,8,3,6,4,7] => [5,1,8,6,2,3,4,7] => [8,1,5,6,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,4,6,2,1] => [2,6,5,7,8,3,4,1] => [7,2,8,6,5,3,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,3,7,4,6,2,1] => [2,6,5,8,7,3,4,1] => [7,2,8,5,6,3,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,6,8,2,4,5,3,7] => [1,8,5,2,4,6,3,7] => [1,5,6,3,2,8,4,7] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[5,8,1,2,3,4,7,6] => [8,1,2,3,5,7,4,6] => [5,1,2,3,7,8,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[7,1,8,2,3,5,4,6] => [7,8,2,5,3,4,1,6] => [7,5,1,8,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,1,2,8,3,6,4,5] => [7,1,8,6,4,3,2,5] => [7,1,6,8,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,1,8,2,3,5,7,4] => [6,8,2,7,3,1,5,4] => [8,6,1,7,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,2,3,5,8,4] => [6,7,2,8,3,1,5,4] => [8,7,1,6,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,2,4,5,8,3] => [1,7,8,2,4,6,5,3] => [1,7,6,3,2,8,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,3,8,7,5,6,2,1] => [2,6,4,3,7,5,8,1] => [4,2,8,1,6,3,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,8,2,7,4,6,5,3] => [1,8,5,6,7,3,2,4] => [1,5,8,7,6,3,4,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,6,2,4,5,7,3] => [1,6,8,3,4,7,5,2] => [1,8,6,2,3,7,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,2,4,5,8,3] => [1,6,7,3,4,8,5,2] => [1,8,7,2,3,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,2,3,5,7,4] => [8,6,2,7,3,1,5,4] => [6,8,1,7,3,5,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,7,2,3,5,6,4] => [8,7,2,6,3,5,1,4] => [6,7,1,8,3,2,5,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,8,3,7,4,6,2,1] => [2,6,8,7,5,4,3,1] => [7,2,5,6,8,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,8,7,2,4,5,3,6] => [1,7,5,2,4,3,8,6] => [1,5,8,3,2,4,7,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,7,1,2,3,4,6,5] => [7,1,2,3,6,4,8,5] => [6,1,2,3,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,6,1,2,3,4,7,5] => [6,1,2,3,8,7,5,4] => [8,1,2,3,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,2,3,4,7,6] => [5,1,2,3,8,7,4,6] => [7,1,2,3,5,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,7,6,2,4,5,3,8] => [1,6,5,2,4,7,3,8] => [1,5,7,3,2,6,4,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[7,1,6,2,3,5,4,8] => [7,6,2,5,3,1,4,8] => [5,6,1,7,3,4,2,8] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,8,7,4,6,3,5,2] => [1,5,6,7,3,4,8,2] => [1,8,6,5,3,2,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,6,1,8,5,3] => [6,7,5,4,8,2,1,3] => [6,4,7,8,5,2,3,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,1,2,4,7,3,6,5] => [8,1,7,2,6,3,4,5] => [6,1,7,3,8,5,4,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[2,3,4,6,8,5,7,1] => [7,2,3,4,8,6,5,1] => [2,3,4,7,6,8,1,5] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[2,4,6,3,7,8,5,1] => [5,2,8,4,6,1,7,3] => [2,5,4,7,6,3,8,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,5,6,8,3,7,4,2] => [1,4,7,8,5,6,2,3] => [1,6,5,4,7,8,3,2] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[8,2,4,5,1,3,7,6] => [5,8,1,2,4,7,3,6] => [7,5,2,3,1,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,3,8,5,2,4,6,7] => [1,5,3,2,8,4,6,7] => [1,3,8,2,5,4,6,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,7,8,3,5,6,2] => [1,6,8,4,3,5,7,2] => [1,6,4,7,2,3,8,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[4,5,6,1,3,7,8,2] => [6,8,1,4,5,3,7,2] => [5,4,2,6,7,1,8,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[3,4,1,8,5,2,6,7] => [4,5,3,1,8,2,6,7] => [4,3,8,2,5,1,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,2,4,1,5,7,3,6] => [4,8,7,2,1,3,5,6] => [8,4,7,2,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,2,6,7,1,5] => [7,4,3,8,1,2,6,5] => [3,7,8,4,2,5,1,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,4,1,8,5,6,3,7] => [4,2,6,1,8,5,3,7] => [2,8,4,3,6,1,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,6,7,3,8,2] => [5,8,7,4,1,6,3,2] => [6,4,5,7,3,8,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[2,8,4,1,7,5,3,6] => [4,2,8,5,7,1,3,6] => [2,8,4,5,7,3,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,8,1,7,4,3] => [8,5,4,7,2,6,1,3] => [4,6,7,5,2,8,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[5,7,3,2,6,8,1,4] => [8,3,7,1,5,2,6,4] => [3,7,5,2,8,4,1,6] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[6,7,1,2,3,5,8,4] => [7,1,2,8,3,6,5,4] => [7,1,2,6,4,8,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,2,8,6,1,4,5,7] => [6,3,2,1,4,8,5,7] => [3,8,1,2,4,6,5,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,1,4,5,7,2,6] => [3,8,7,2,4,1,5,6] => [8,3,7,1,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,8,7,5,4,1] => [4,2,5,7,6,3,8,1] => [2,8,5,4,6,1,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,3,7,5,4,1,6] => [4,5,2,7,8,1,3,6] => [8,7,1,4,5,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,4,1,5,3,7] => [4,6,5,2,1,8,3,7] => [8,4,5,2,3,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,1,5,4,2,7] => [6,4,5,8,1,2,3,7] => [5,8,6,4,3,2,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,3,2,5,7,4,1,6] => [4,3,7,8,1,2,5,6] => [7,8,3,4,2,5,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,1,3,8,7,5,4,2] => [6,4,1,5,7,3,8,2] => [4,8,2,6,5,1,7,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,8,7,5,4,2] => [6,4,3,5,7,1,8,2] => [3,4,8,6,5,2,7,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,8,1,5,7,6,4,2] => [8,4,3,6,1,7,5,2] => [3,4,8,6,2,7,1,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,5,2,8,7,6,4,1] => [4,6,3,5,1,7,8,2] => [4,3,8,5,2,6,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,4,8,7,1,6,5,2] => [7,5,3,4,6,1,8,2] => [3,4,5,8,6,2,7,1] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[8,1,3,5,7,6,4,2] => [8,4,1,6,3,7,5,2] => [4,8,2,6,1,7,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,1,8,5,7,6,3,2] => [4,3,6,1,7,8,2,5] => [4,8,3,2,7,6,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,2,7,1,4,5,6,3] => [7,8,6,1,4,5,2,3] => [7,6,8,3,1,2,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,7,3,4,6,2,5] => [8,6,7,3,2,4,1,5] => [6,8,7,1,3,4,5,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,3,7,1,6,5,4] => [7,8,2,5,6,1,3,4] => [6,5,1,8,7,4,3,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,2,7,1,3,6,5,4] => [7,8,1,5,6,3,2,4] => [6,5,2,8,7,3,4,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,1,7,2,6,4,3,5] => [8,7,4,6,3,2,1,5] => [4,6,8,7,1,3,5,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[2,4,8,5,7,6,3,1] => [3,2,6,4,7,8,1,5] => [2,4,3,8,7,6,5,1] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[8,2,4,3,7,6,1,5] => [6,7,4,1,2,8,3,5] => [7,4,8,3,2,6,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,7,3,5,1,4,6] => [5,8,7,1,3,4,2,6] => [8,5,7,3,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,8,7,5,4,3] => [2,6,4,5,7,1,8,3] => [4,2,8,6,5,3,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,1,7,3,5,2,6,4] => [8,5,7,6,3,2,1,4] => [5,8,6,7,2,3,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,2,8,3,7,6,5,1] => [5,4,6,2,7,8,3,1] => [7,8,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,5,4,1,7,6,3] => [4,5,8,6,3,7,2,1] => [8,6,4,5,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,8,7,6,3,2] => [5,3,6,1,4,7,8,2] => [5,8,3,2,1,6,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,4,3,7,6,5,2] => [8,5,4,1,6,7,3,2] => [4,5,8,3,6,7,1,2] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,8,1,3,7,6,5,2] => [8,5,1,4,6,7,3,2] => [4,5,2,8,6,7,1,3] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[4,3,8,1,7,6,5,2] => [8,5,4,3,6,7,1,2] => [4,5,8,1,6,7,3,2] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[5,1,7,4,3,2,6,8] => [5,3,4,7,1,2,6,8] => [3,7,5,4,2,1,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,7,6,3,2,4,1,8] => [4,3,6,2,5,7,1,8] => [4,5,3,1,7,6,2,8] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[5,8,1,3,2,7,4,6] => [8,3,1,7,5,4,2,6] => [3,5,2,7,8,1,6,4] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[8,5,1,3,2,4,6,7] => [5,3,1,2,8,4,6,7] => [3,8,2,1,5,4,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,3,2,4,8,6] => [5,3,1,2,7,8,4,6] => [3,8,2,1,5,7,6,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,8,2,1,4,3,6] => [2,8,4,1,7,3,5,6] => [4,2,7,3,8,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[7,4,3,1,2,8,6,5] => [3,1,4,7,6,8,2,5] => [7,1,3,4,8,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,4,3,1,2,7,5,6] => [3,1,4,8,7,5,2,6] => [7,1,3,4,8,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,1,2,5,7,4,3] => [8,1,4,7,2,6,5,3] => [4,1,7,6,3,8,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[7,1,2,3,8,6,4,5] => [7,1,2,6,4,8,3,5] => [7,1,2,8,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,1,6,4,2,3,5,7] => [8,4,2,6,3,1,5,7] => [4,8,1,6,2,5,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,8,2,3,7,6] => [1,8,2,5,4,7,3,6] => [1,5,2,7,3,8,6,4] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[8,5,7,4,1,3,6,2] => [4,7,2,6,8,3,5,1] => [8,4,1,7,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,2,3,1,4,6] => [3,8,2,1,7,4,5,6] => [7,3,1,2,8,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,3,8,2,5,6,4] => [7,8,1,6,2,5,3,4] => [7,6,2,8,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,3,5,4,2,1,8,6] => [2,4,5,7,1,8,3,6] => [8,2,5,4,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,2,6,1,8,5] => [6,3,4,7,8,2,1,5] => [3,8,7,4,6,2,5,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,1,6,3,8] => [4,5,7,6,3,2,1,8] => [7,6,4,5,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,5,2,4,7,8,3,6] => [1,5,8,2,4,3,7,6] => [1,7,5,3,2,4,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,5,1,2,8,6,7,4] => [5,1,3,7,2,8,6,4] => [3,1,8,5,4,7,2,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,4,7,8,1,6] => [8,2,5,3,4,1,7,6] => [2,5,7,1,3,4,8,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[2,7,4,3,6,8,5,1] => [5,2,4,8,7,1,6,3] => [2,5,8,4,7,3,1,6] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,7,4,3,6,8,5,2] => [1,5,4,8,7,2,6,3] => [1,5,8,4,7,3,2,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,7,6,5,2,3,8,1] => [8,5,2,4,6,7,3,1] => [4,5,1,8,6,7,2,3] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[4,7,6,5,1,3,8,2] => [5,6,1,4,7,8,3,2] => [7,4,2,8,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,6,5,3,8,1,2] => [8,1,5,4,6,7,3,2] => [4,1,5,8,6,7,2,3] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[5,7,6,3,2,8,4,1] => [4,3,8,6,5,7,1,2] => [4,6,3,5,8,7,2,1] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[6,3,4,2,8,1,5,7] => [8,4,6,3,1,2,5,7] => [4,8,6,1,3,5,2,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,5,8,1,7,3,4,2] => [8,4,7,3,6,5,1,2] => [4,7,6,1,8,2,5,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,5,8,2,3,7,4,1] => [4,7,1,8,6,5,3,2] => [7,6,2,4,8,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,7,3,6,8,1,4,2] => [8,4,7,1,5,3,6,2] => [4,7,5,3,8,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,1,2,8,5,3,6,7] => [4,1,5,2,8,3,6,7] => [8,1,4,3,5,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,7,8,5,4] => [2,1,6,5,8,3,7,4] => [2,1,6,7,5,4,8,3] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[3,5,8,2,6,1,7,4] => [6,8,3,7,5,2,1,4] => [5,3,7,6,8,2,4,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[3,7,6,1,5,2,8,4] => [6,5,3,7,4,8,2,1] => [3,7,8,5,1,6,2,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,7,6,2,5,8,4,3] => [1,6,4,7,3,8,5,2] => [1,7,8,4,2,6,3,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[3,7,6,5,8,1,2,4] => [8,1,3,2,6,7,5,4] => [3,1,6,2,8,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[2,7,1,5,8,4,3,6] => [7,2,4,8,1,3,5,6] => [2,7,8,4,3,5,6,1] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,2,6,3,5,4,8] => [7,1,6,5,3,2,4,8] => [5,1,6,7,3,4,2,8] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[7,2,6,3,4,5,1,8] => [5,7,6,3,4,2,1,8] => [7,5,6,1,2,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,7,8,4,2,5,3,1] => [3,5,4,8,1,6,7,2] => [6,3,5,4,2,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[3,7,8,6,2,5,1,4] => [5,6,3,1,2,8,7,4] => [5,3,7,2,4,6,8,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[4,1,2,7,8,5,3,6] => [4,1,5,2,8,3,7,6] => [7,1,4,3,5,2,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,7,3,1,6,2,8,5] => [3,7,6,4,8,2,1,5] => [7,3,4,8,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,3,1,2,6,8,5] => [3,1,7,4,8,2,6,5] => [4,1,3,8,7,5,2,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,2,7,5,8,3,1,6] => [3,8,4,1,7,2,5,6] => [7,3,4,2,8,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,8,1,6,2,7,5,3] => [8,6,5,4,7,1,2,3] => [4,5,7,8,6,3,2,1] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[5,7,2,3,1,4,6,8] => [3,7,2,1,5,4,6,8] => [5,3,1,2,7,4,6,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[6,1,8,4,2,7,5,3] => [6,4,8,5,7,1,3,2] => [5,8,4,7,6,3,1,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,6,2,7,3,4,8,1] => [8,6,7,3,5,2,4,1] => [5,7,6,1,8,3,2,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[3,7,8,6,1,2,4,5] => [6,1,3,2,4,8,7,5] => [3,1,7,2,4,6,8,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[2,7,8,6,1,5,4,3] => [6,2,4,5,1,8,7,3] => [2,4,7,5,3,6,8,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[2,7,6,8,5,3,1,4] => [3,2,5,1,8,7,6,4] => [2,7,3,1,5,8,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,7,6,8,2,1,3,5] => [2,8,1,4,3,7,6,5] => [4,2,1,7,3,8,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[4,7,8,6,1,3,2,5] => [6,3,1,4,2,8,7,5] => [3,4,2,7,1,6,8,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,7,8,6,5,2,3,4] => [1,5,2,3,6,8,7,4] => [1,7,2,3,5,6,8,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,5,8,6,4,2,3,7] => [1,4,2,6,5,8,3,7] => [1,5,2,4,8,6,3,7] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[2,8,6,4,5,3,1,7] => [3,2,5,6,4,8,1,7] => [2,8,3,5,1,6,4,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,6,3,1,7,5] => [3,2,6,8,7,4,1,5] => [2,8,3,6,7,4,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,7,4,3,5,6] => [1,2,4,7,3,5,8,6] => [1,2,8,4,3,5,7,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,6,2,5,7,8,3] => [1,6,8,4,2,5,7,3] => [1,6,4,7,3,2,8,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[2,4,8,6,3,5,7,1] => [7,2,6,4,3,8,5,1] => [2,4,7,8,1,6,3,5] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[2,5,8,6,4,1,7,3] => [4,2,6,8,5,7,1,3] => [2,6,5,4,8,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,7,2,3,1,6,8,5] => [3,7,2,4,8,1,6,5] => [4,3,1,8,7,5,2,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,4,6,5,1,2,7,8] => [5,1,3,4,6,2,7,8] => [3,1,4,6,5,2,7,8] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,2,7,4,5,8,6,3] => [1,2,6,8,3,7,5,4] => [1,2,8,6,4,7,3,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,8,2,6,7,5,1] => [5,7,4,3,8,1,6,2] => [7,4,8,1,5,3,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,3,8,2,5,7,1,6] => [7,8,4,3,2,1,5,6] => [7,4,8,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,4,3,8,7,6,2,5] => [1,6,4,3,2,7,8,5] => [1,4,8,2,3,6,7,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,1,8,6,4,7,2,3] => [5,7,2,6,1,8,4,3] => [8,5,1,7,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,3,8,1,6,4] => [8,5,2,7,6,1,4,3] => [5,8,1,6,7,4,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,2,7,8,6,1,3,4] => [6,5,1,3,2,8,7,4] => [5,7,2,1,4,6,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[2,1,7,8,6,3,5,4] => [2,1,6,5,3,8,7,4] => [2,1,5,7,4,6,8,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[6,5,2,3,8,1,7,4] => [8,5,2,6,7,4,1,3] => [5,8,1,7,6,2,4,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,8,4,1,6] => [4,8,1,5,7,2,3,6] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,5,2,3,6,4] => [1,5,2,7,6,4,8,3] => [1,8,2,5,6,3,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,7,5,2,3,4,6] => [8,5,2,3,7,4,1,6] => [5,8,1,2,7,3,6,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,5,1,6,2,8,7,3] => [5,6,7,4,1,2,8,3] => [6,5,4,8,3,2,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,3,6,1,7,2,5] => [6,7,8,4,2,3,1,5] => [7,6,4,8,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,2,7,8,3,4,5,1] => [5,6,8,3,4,2,7,1] => [7,6,5,1,2,3,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[9,2,3,4,5,6,7,8,1] => [8,9,2,3,4,5,6,7,1] => [9,8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[4,2,3,1,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,4,6,8,5,7,3] => [1,2,7,4,8,6,5,3] => [1,2,4,7,6,8,3,5] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[4,7,3,8,6,5,2,1] => [2,5,6,4,8,7,3,1] => [6,2,4,8,5,7,1,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,3,8,4,6,5,1,2] => [5,1,6,7,8,2,4,3] => [8,1,7,6,5,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,7,2,6,1,3] => [6,7,1,4,5,2,8,3] => [5,4,2,6,8,3,7,1] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[4,6,7,8,5,2,3,1] => [3,5,2,4,8,6,7,1] => [4,3,1,6,5,7,8,2] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[3,8,5,4,1,7,6,2] => [4,5,3,8,6,7,1,2] => [5,3,8,4,6,7,2,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,4,7,2,5,8,3,1] => [3,8,7,6,1,4,5,2] => [7,3,6,8,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,3,8,7,5,1,4,2] => [5,4,7,3,6,1,8,2] => [5,8,4,1,6,3,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,1,2,8,7] => [4,1,6,5,2,3,8,7] => [6,1,4,5,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,2,4,8,7,6,1,3] => [6,5,1,2,4,7,8,3] => [5,8,2,3,1,6,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,8,3,5,4,2,6,7] => [1,4,5,8,2,3,6,7] => [1,8,5,4,3,2,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,5,4,3,6,7] => [1,8,4,5,2,3,6,7] => [1,4,8,5,3,2,6,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,2,4,1,7,8,3,6] => [4,5,8,2,1,3,7,6] => [7,5,4,2,3,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,3,2,8,4,1,6,7] => [4,3,8,5,1,2,6,7] => [4,8,3,5,2,1,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,8,2,1,5,3,6,7] => [2,8,5,4,1,3,6,7] => [4,2,5,8,3,1,6,7] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[4,8,3,1,6,7,2,5] => [3,8,7,4,1,2,6,5] => [7,3,4,8,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,4,8,2,7,3,6,5] => [1,8,7,4,6,3,2,5] => [1,4,6,7,8,3,5,2] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,8,7,2,5,3,6,4] => [1,7,5,6,2,3,8,4] => [1,5,8,6,4,3,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,6,2,7,1,4,3,5] => [7,6,4,1,3,8,2,5] => [4,7,8,3,1,6,5,2] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,8,4,6,3,1,5,2] => [3,6,5,8,2,4,7,1] => [7,3,6,5,2,1,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,1,5,8,3,4,7,2] => [6,7,8,3,1,5,4,2] => [8,7,6,1,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,6,3,4,7,1] => [7,2,6,3,8,5,4,1] => [2,7,8,1,6,3,4,5] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[8,1,6,3,5,4,7,2] => [8,7,6,5,3,1,4,2] => [5,6,7,8,2,4,1,3] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[7,4,2,8,3,6,5,1] => [5,4,6,7,8,1,2,3] => [7,8,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,2,5,8,4,6,3] => [7,1,6,8,2,4,5,3] => [7,1,8,6,4,3,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,8,1,4,7,3,6,5] => [8,2,7,1,6,3,4,5] => [2,6,7,3,8,5,4,1] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,2,4,8,1,7,3,5] => [8,6,7,2,3,4,1,5] => [6,8,7,2,3,4,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,1,7,8,5,4,6,2] => [3,6,1,5,8,4,7,2] => [6,3,2,7,5,1,8,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,6,2,7,4,8,5,3] => [1,6,5,8,7,2,3,4] => [1,7,8,5,6,4,3,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,7,1,8,4,3,5,6] => [7,2,4,8,3,5,1,6] => [2,7,8,4,1,3,6,5] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,4,7,3,8,1,5] => [8,6,7,2,1,4,3,5] => [6,8,7,2,4,3,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,8,2,3,7,1,5,4] => [7,8,2,5,1,6,3,4] => [6,5,1,7,4,8,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,5,8,3,6,7,2,4] => [1,7,8,2,5,3,6,4] => [1,7,5,3,8,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,6,5,7,4,8,2,3] => [1,8,2,7,6,5,4,3] => [1,6,2,7,8,3,4,5] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[6,7,2,8,1,3,4,5] => [8,7,1,3,4,6,2,5] => [6,7,2,1,3,8,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[5,1,6,8,7,2,3,4] => [5,7,2,3,1,6,8,4] => [6,5,1,2,4,8,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,5,6,1,4,2,8,7] => [6,4,3,1,5,2,8,7] => [3,4,5,2,6,1,8,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[3,7,8,2,4,6,5,1] => [5,6,3,1,8,4,7,2] => [6,3,7,2,5,1,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[7,4,6,8,5,3,1,2] => [3,1,5,8,7,2,6,4] => [8,1,3,5,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,7,3,2,1,5] => [2,3,7,8,1,4,6,5] => [8,2,3,7,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,8,1,5,6,3] => [8,4,6,2,1,5,7,3] => [4,7,6,2,3,1,8,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[2,4,7,8,1,5,6,3] => [8,2,6,4,1,5,7,3] => [2,4,6,7,3,1,8,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[3,8,6,7,5,1,2,4] => [5,1,3,2,7,8,6,4] => [3,1,8,2,5,7,4,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,1,5,2,3,7,4,8] => [6,5,2,7,1,3,4,8] => [6,7,1,5,4,3,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[7,8,2,1,3,6,4,5] => [2,8,1,6,4,3,7,5] => [6,2,1,7,3,5,8,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[7,8,5,1,3,2,6,4] => [5,3,1,8,6,4,7,2] => [3,7,2,5,6,1,8,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[7,5,2,1,6,4,3,8] => [2,5,4,7,6,3,1,8] => [5,2,7,4,6,1,3,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[5,7,2,4,3,1,8,6] => [3,4,7,1,5,8,2,6] => [5,4,3,2,8,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[7,1,5,4,8,3,2,6] => [7,3,8,5,1,2,4,6] => [5,7,3,8,4,2,6,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[6,4,1,7,5,3,2,8] => [4,3,6,5,7,2,1,8] => [4,7,3,6,5,1,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[2,7,6,4,8,1,5,3] => [8,2,5,6,1,7,4,3] => [2,5,8,6,4,7,1,3] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,2,5,4,8,1,6,3] => [8,7,6,5,2,1,4,3] => [5,6,7,8,3,4,1,2] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,7,2,5,3,8,6,4] => [1,7,5,6,2,8,3,4] => [1,5,8,7,4,6,3,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,2,1,3,8,6,7] => [2,4,1,5,3,8,6,7] => [5,2,1,4,3,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[6,1,4,2,3,8,7,5] => [6,4,2,1,7,3,8,5] => [4,8,1,3,6,5,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,5,3,2,8,4] => [7,3,5,6,8,1,4,2] => [3,8,6,7,5,4,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,8,6,1,5,4] => [6,8,1,5,2,7,3,4] => [6,5,2,8,4,7,3,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,2,3,8,6,1,4,5] => [6,8,1,2,4,7,3,5] => [8,6,2,3,1,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,8,4,1,6,5] => [4,3,8,7,6,2,1,5] => [4,7,3,6,8,2,5,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,3,2,5,8,1,6,4] => [8,3,7,6,2,1,5,4] => [3,7,6,8,2,5,1,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,8,4,1,2,6,7] => [4,1,8,5,2,3,6,7] => [8,1,4,5,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,7,4,3,6,2] => [5,6,4,7,1,3,8,2] => [6,5,8,4,3,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,7,1,3,2,4,8,6] => [7,3,1,2,5,8,4,6] => [3,5,2,1,8,7,6,4] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[4,2,7,6,3,5,8,1] => [8,4,6,2,3,7,5,1] => [4,8,6,2,1,7,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,8,3,7,4,2] => [5,4,7,8,1,6,2,3] => [6,7,5,4,3,8,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[7,6,4,1,3,5,8,2] => [4,6,1,7,3,8,5,2] => [8,7,2,4,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,7,1,4,5,6] => [7,8,2,1,4,5,3,6] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,7,1,4,5,6] => [7,2,8,1,4,5,3,6] => [2,8,7,3,1,4,6,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,7,4,3,1,8] => [3,4,7,6,5,2,1,8] => [6,4,3,5,7,1,2,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[8,6,2,7,4,1,3,5] => [4,7,2,6,3,8,1,5] => [8,4,1,7,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,6,2,5,1,8] => [5,6,3,4,2,7,1,8] => [4,3,5,7,1,6,2,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[3,7,8,2,6,1,4,5] => [6,8,3,1,4,2,7,5] => [6,3,7,2,1,5,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[6,8,4,7,3,1,2,5] => [3,1,7,8,2,6,4,5] => [7,1,3,6,4,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,7,8,2,6,1,5,4] => [6,8,3,5,1,2,7,4] => [5,3,6,7,4,2,8,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[4,8,6,2,1,7,5,3] => [2,6,5,4,8,7,3,1] => [4,2,6,8,5,7,1,3] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[7,5,4,6,1,8,3,2] => [6,3,8,5,7,4,1,2] => [5,7,3,8,6,1,4,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[7,5,4,6,1,8,2,3] => [6,8,2,5,7,4,1,3] => [7,5,1,8,6,2,4,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,4,5,1,7,6,8,2] => [5,8,3,4,1,7,6,2] => [4,3,5,7,2,8,1,6] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[3,8,7,6,5,1,2,4] => [5,1,3,2,6,7,8,4] => [3,1,8,2,5,6,7,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[5,7,2,6,1,3,8,4] => [6,7,1,8,5,2,3,4] => [7,6,2,5,8,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,8,7,5,6,1,4,2] => [6,4,3,1,7,5,8,2] => [3,4,8,2,6,1,7,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,2,5,6,1,7,4,8] => [6,3,2,7,5,1,4,8] => [3,6,1,5,7,4,2,8] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[3,4,5,1,7,6,2,8] => [5,6,3,4,1,7,2,8] => [4,3,5,7,2,6,1,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[8,5,4,6,1,3,2,7] => [6,3,1,5,8,4,2,7] => [3,6,2,8,5,1,4,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[3,2,5,6,1,4,8,7] => [6,3,2,1,5,4,8,7] => [3,5,1,2,6,4,8,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[8,5,4,6,1,3,7,2] => [6,7,1,5,8,4,3,2] => [7,6,2,8,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,7,3,4,5,2,8,6] => [1,5,7,3,4,8,2,6] => [1,8,5,2,3,7,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,7,4,3,8,6] => [2,1,4,7,5,8,3,6] => [2,1,5,4,8,7,6,3] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[4,1,8,7,5,6,2,3] => [4,6,2,1,7,5,8,3] => [8,4,1,3,6,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,7,4,3,6,2] => [1,6,4,7,5,3,8,2] => [1,5,6,4,8,2,7,3] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[6,4,1,3,8,7,5,2] => [4,6,2,5,7,3,8,1] => [8,4,1,6,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,4,6,8,3,5] => [2,1,8,7,3,4,6,5] => [2,1,7,8,4,5,3,6] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[7,4,6,1,2,3,8,5] => [6,1,2,7,8,4,3,5] => [8,1,2,7,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,8,6,2,3,5,4] => [1,6,2,5,3,8,7,4] => [1,5,2,7,4,6,8,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[2,1,8,3,5,7,6,4] => [2,1,8,6,3,7,5,4] => [2,1,6,8,4,7,3,5] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[3,5,8,1,7,6,2,4] => [8,6,3,2,5,7,1,4] => [3,5,6,1,8,7,4,2] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[2,3,4,5,6,7,9,1,10,8] => [9,2,3,4,5,6,7,10,1,8] => [2,3,4,5,6,7,10,9,8,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[8,2,1,3,4,5,6,7,9] => [2,8,1,3,4,5,6,7,9] => [8,2,1,3,4,5,6,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[6,2,4,3,8,1,7,5] => [8,6,4,2,7,3,1,5] => [4,6,8,2,7,3,5,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[5,8,4,3,1,6,7,2] => [3,4,8,7,5,1,6,2] => [7,4,3,5,8,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,3,5,4,2,6,1,7] => [6,4,5,8,2,3,1,7] => [5,8,6,4,2,1,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,5,4,8,1] => [8,7,6,5,2,3,4,1] => [5,6,7,8,3,2,1,4] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[5,4,7,3,2,6,8,1] => [8,3,7,5,4,2,6,1] => [3,7,5,8,1,2,4,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,7,2,6,3,4,8,1] => [8,7,6,3,5,2,4,1] => [5,6,7,1,8,3,2,4] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[3,7,5,4,6,2,8,1] => [8,6,3,5,7,4,2,1] => [3,5,7,8,6,1,2,4] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[3,7,5,4,2,8,6,1] => [6,4,3,5,8,7,1,2] => [3,4,8,6,5,7,2,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,7,2,6,5,8,4,1] => [4,8,3,7,6,1,5,2] => [4,3,7,6,8,5,1,2] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[5,8,1,7,3,4,2,6] => [8,4,7,3,5,2,1,6] => [4,7,5,1,8,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[3,7,6,2,8,1,5,4] => [8,6,3,5,1,7,2,4] => [3,5,6,8,4,7,2,1] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[5,4,3,7,2,8,6,1] => [6,8,4,5,3,7,1,2] => [5,4,8,6,1,7,3,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,3,2,5,8,7,4,1] => [4,3,7,6,1,5,8,2] => [4,8,3,6,2,1,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,2,8,7,4,1] => [4,7,3,5,6,1,8,2] => [4,3,8,5,6,2,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,6,5,7,2,8,4,1] => [4,8,3,7,6,5,1,2] => [4,3,7,6,8,1,5,2] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[6,3,8,4,1,7,2,5] => [4,8,7,6,3,1,2,5] => [8,4,6,7,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,5,1,7,2,4] => [5,8,3,1,7,6,2,4] => [5,3,7,2,6,8,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[3,7,2,8,5,4,6,1] => [6,7,3,5,8,4,2,1] => [6,3,7,8,5,1,2,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[5,4,2,8,6,3,7,1] => [7,4,5,6,3,8,2,1] => [4,8,7,5,1,6,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,8,7,5,3,1,4,6] => [3,2,5,1,7,4,8,6] => [2,8,3,1,5,4,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,3,1,4,8,7] => [3,2,6,1,5,4,8,7] => [2,5,3,1,6,4,8,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[2,4,3,7,8,5,1,6] => [5,2,4,3,8,1,7,6] => [2,4,7,1,5,3,8,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,3,4,5,1,2,8,7] => [5,1,6,3,4,2,8,7] => [6,1,5,2,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,5,3,2,4,1,8,7] => [4,3,5,2,6,1,8,7] => [4,6,3,1,5,2,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[6,5,8,7,3,2,4,1] => [4,3,7,2,6,5,8,1] => [4,6,3,1,8,2,7,5] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[2,1,4,7,8,5,3,6] => [2,1,5,4,8,3,7,6] => [2,1,4,7,5,3,8,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[8,3,6,4,7,5,1,2] => [5,1,7,8,6,4,2,3] => [8,1,6,5,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,3,2,6,4,1] => [4,3,6,5,7,1,8,2] => [4,8,3,6,5,2,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,8,7,5,3,2,6,1] => [6,3,5,4,7,2,8,1] => [3,6,4,8,5,1,7,2] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[4,7,8,5,3,1,6,2] => [3,5,8,4,6,1,7,2] => [5,4,3,7,6,2,8,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[8,5,3,1,4,6,7,2] => [3,5,8,1,7,4,6,2] => [8,5,3,2,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,6,4,7,1,2] => [7,1,5,8,6,4,3,2] => [6,1,8,5,7,2,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,5,1,6,4,3,7,2] => [5,8,4,7,6,2,1,3] => [6,4,8,5,7,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,4,3,7,8,2,5] => [6,8,4,1,2,3,7,5] => [6,4,7,3,2,5,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[7,3,6,5,8,1,2,4] => [8,1,7,2,6,3,5,4] => [6,1,7,3,8,5,2,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[6,5,3,2,4,8,7,1] => [7,3,5,2,6,4,8,1] => [3,8,5,1,6,2,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,1,6,8,3,4] => [7,2,8,3,5,1,6,4] => [2,7,5,1,8,4,3,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,2,7,5,8,3,4] => [6,1,8,3,7,2,5,4] => [8,1,6,2,7,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,2,4,6,8,5] => [7,1,3,2,8,4,6,5] => [3,1,8,2,7,5,4,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,6,1,7,8,5] => [6,2,4,3,8,1,7,5] => [2,4,7,1,6,5,8,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[2,7,3,1,4,6,8,5] => [3,2,7,1,8,4,6,5] => [2,8,3,1,7,5,4,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,6,7,3,1,4] => [3,2,7,1,8,5,6,4] => [2,8,3,1,7,4,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,1,6,2,4,7,3] => [8,6,7,2,5,1,4,3] => [5,7,6,2,8,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[3,8,5,6,7,1,2,4] => [7,1,3,2,8,5,6,4] => [3,1,8,2,7,4,5,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,2,8,4,7,3] => [5,1,6,7,8,3,2,4] => [8,1,7,6,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,4,8,5,7,3] => [6,1,7,2,8,4,5,3] => [8,1,7,3,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,1,4,6,7,3] => [8,2,7,1,5,4,6,3] => [2,5,7,3,8,1,4,6] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[2,4,5,8,7,3,6,1] => [6,2,7,4,5,3,8,1] => [2,5,4,6,8,1,7,3] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[7,1,8,5,2,4,6,3] => [7,5,8,3,6,4,1,2] => [6,8,5,1,7,2,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,1,8,7,5,4,6,3] => [2,1,6,5,7,4,8,3] => [2,1,6,8,5,3,7,4] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[8,1,4,3,6,7,5,2] => [8,5,4,1,7,3,6,2] => [4,5,8,3,7,1,2,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,7,3,4,2,6,5,1] => [5,4,6,1,7,2,8,3] => [6,8,4,3,5,2,7,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,5,2,3,7,1,6] => [7,5,2,8,4,1,3,6] => [7,8,1,5,2,4,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,7,2,8,6,3,1,5] => [3,6,8,4,1,7,2,5] => [6,4,3,8,2,7,5,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,7,5,2,3,8,1,6] => [8,5,2,4,7,1,3,6] => [4,5,1,8,7,3,6,2] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[6,4,7,5,2,8,3,1] => [3,8,5,7,6,1,4,2] => [8,3,5,6,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,4,1,7,6,3] => [4,2,5,8,6,7,1,3] => [2,8,5,4,6,7,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,8,3,7,1,6,4] => [7,2,8,6,5,1,3,4] => [2,6,5,7,8,4,3,1] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[2,4,6,1,8,7,5,3] => [6,2,5,4,7,1,8,3] => [2,4,6,8,5,3,7,1] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,5,8,2,7,6,1,4] => [6,7,3,2,5,8,1,4] => [5,3,7,1,8,6,4,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[2,1,6,8,7,5,3,4] => [2,1,5,3,7,6,8,4] => [2,1,6,3,5,8,7,4] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,8,2,4,5,7,6,3] => [1,8,6,2,4,7,5,3] => [1,6,8,3,2,7,4,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,2,8,3,5,7,6,4] => [1,2,8,6,3,7,5,4] => [1,2,6,8,4,7,3,5] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[2,6,1,8,7,5,3,4] => [6,2,5,3,7,1,8,4] => [2,6,8,1,5,4,7,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[3,1,8,2,5,7,6,4] => [3,8,1,6,2,7,5,4] => [6,3,2,8,4,7,1,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,8,1,4,5,7,6,3] => [8,2,6,1,4,7,5,3] => [2,6,8,3,1,7,4,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,3,6,8,7,5,1,4] => [5,2,3,1,7,6,8,4] => [2,3,6,1,5,8,7,4] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[3,1,6,8,7,2,5,4] => [3,7,1,5,2,6,8,4] => [5,3,2,6,4,8,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[8,1,4,7,6,3,2,5] => [8,3,6,1,2,7,4,5] => [3,8,6,2,4,7,5,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,1,6,4,7,2,5] => [3,8,7,6,1,2,4,5] => [7,3,6,8,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,3,8,6,2,7,1,4] => [7,6,5,1,3,8,2,4] => [5,7,8,3,2,6,4,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,4,6,3,1,2,5,7] => [3,1,6,8,2,4,5,7] => [8,1,3,6,4,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,6,2,3,7] => [1,6,2,8,5,4,3,7] => [1,6,2,5,8,3,4,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,4,6,8,5,2,3,7] => [1,5,2,4,8,6,3,7] => [1,4,2,6,5,8,3,7] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[5,6,8,1,4,2,3,7] => [8,4,2,1,5,6,3,7] => [4,5,1,3,6,8,2,7] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,5,4,7,2,3,8,6] => [1,7,2,5,4,8,3,6] => [1,5,2,8,3,7,6,4] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[8,2,1,5,3,7,4,6] => [2,8,5,7,1,4,3,6] => [5,2,8,7,4,1,6,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,1,7,2,5,8,3,4] => [6,7,8,3,2,1,5,4] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,8,2,3,4] => [1,8,2,3,6,7,5,4] => [1,6,2,3,8,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,6,8,5,7,2,3,4] => [1,7,2,3,8,6,5,4] => [1,7,2,3,6,8,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,5,1,2,6,8,3,4] => [5,1,7,2,8,3,6,4] => [8,1,7,3,5,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,2,7,8,3,4] => [6,5,8,3,1,2,7,4] => [6,7,5,1,4,3,8,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,6,3,8,7,2,4,5] => [1,7,6,2,4,3,8,5] => [1,6,8,3,2,5,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,7,3,2,4,6,8,5] => [1,3,7,2,8,4,6,5] => [1,8,3,2,7,5,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,7,8,4,6,5] => [3,1,2,8,6,4,7,5] => [3,1,2,6,7,5,8,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[3,8,1,2,7,6,4,5] => [8,1,3,6,4,7,2,5] => [3,1,6,8,2,7,5,4] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[7,1,4,8,2,6,3,5] => [7,8,6,1,3,2,4,5] => [7,6,8,3,2,5,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,2,6,8,7,3,4] => [5,1,7,3,2,6,8,4] => [6,1,5,2,4,8,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,8,6,2,5,7,3,4] => [1,6,8,2,3,7,5,4] => [1,8,6,3,4,7,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,8,1,2,6,3,4] => [8,1,6,3,5,2,7,4] => [5,1,6,2,7,4,8,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[8,1,5,7,6,2,3,4] => [8,6,2,3,1,7,5,4] => [6,8,1,2,4,7,3,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,6,8,5,2,3,4] => [7,5,2,3,8,1,6,4] => [7,8,1,2,5,4,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,1,2,7,6,4,5] => [3,1,8,6,4,7,2,5] => [6,1,3,8,2,7,5,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,7,4,8,2,5,3,6] => [1,8,5,7,2,3,4,6] => [1,5,8,7,4,3,6,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[3,8,6,1,4,2,7,5] => [6,4,3,1,8,7,5,2] => [3,4,8,2,6,7,1,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,5,4,1,7,2,6,8] => [4,5,3,7,2,1,6,8] => [5,3,7,4,1,2,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[6,4,7,3,2,5,1,8] => [5,3,7,6,2,4,1,8] => [5,7,3,6,2,1,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,6,5,3,8,4,1,2] => [4,1,8,5,6,7,2,3] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,8,4,5,1,7] => [5,3,6,8,4,2,1,7] => [6,8,3,5,1,2,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,8,5,2,4,6,1,7] => [6,5,3,2,8,4,1,7] => [3,6,8,1,5,2,4,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,5,4,8,6,3,7,2] => [1,7,6,5,4,8,3,2] => [1,5,7,8,2,6,3,4] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[4,8,2,5,3,7,1,6] => [7,8,5,4,2,1,3,6] => [5,4,7,8,2,3,6,1] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[3,8,4,5,2,6,7,1] => [7,5,3,8,4,2,6,1] => [3,7,8,5,1,2,4,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[6,8,1,2,7,4,3,5] => [8,1,4,7,3,6,2,5] => [4,1,7,6,2,8,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[7,5,2,3,4,8,6,1] => [6,5,1,3,8,7,4,2] => [6,8,2,1,5,7,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,3,7,2,1,8,6,5] => [2,7,4,3,6,8,1,5] => [4,2,7,1,8,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[4,6,7,2,1,3,5,8] => [2,7,1,4,3,6,5,8] => [4,2,1,6,3,7,5,8] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[4,6,2,3,1,5,7,8] => [3,6,2,4,1,5,7,8] => [4,3,1,6,2,5,7,8] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[3,6,4,2,5,1,7,8] => [5,4,3,6,2,1,7,8] => [3,5,6,4,1,2,7,8] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[3,6,2,7,5,4,1,8] => [4,5,3,7,6,2,1,8] => [5,3,7,4,6,1,2,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[3,1,5,4,7,8,6,2] => [3,6,1,5,4,8,7,2] => [5,3,2,7,1,6,8,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[4,5,7,2,3,1,8,6] => [3,7,2,4,5,8,1,6] => [4,3,1,5,8,7,6,2] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[3,7,8,1,4,6,5,2] => [8,5,3,1,6,4,7,2] => [3,5,7,2,6,1,8,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[7,3,5,1,4,2,8,6] => [5,4,7,1,3,8,2,6] => [5,8,4,3,1,7,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,4,7,1,3,2,8,6] => [7,3,1,5,4,8,2,6] => [3,5,2,8,1,7,6,4] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[6,1,4,7,5,3,8,2] => [6,8,5,1,7,4,3,2] => [7,5,8,3,6,1,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,8,4,7,3,2,5] => [6,3,7,8,2,1,4,5] => [7,8,3,6,2,5,4,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,7,3,6,1,2,8,5] => [6,1,7,4,8,3,2,5] => [7,1,4,8,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,2,1,7,4,3,8,6] => [2,5,4,7,1,8,3,6] => [5,2,8,4,3,7,6,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,6,8,2,5,3,4,1] => [4,8,5,3,2,7,6,1] => [7,4,5,1,2,8,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,6,8,7,5,3,1,4] => [3,2,5,1,7,6,8,4] => [2,6,3,1,5,8,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[6,4,1,7,5,2,8,3] => [4,6,5,7,8,2,1,3] => [8,6,7,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,4,1,5,6,3] => [4,2,7,6,3,5,8,1] => [2,8,4,6,1,3,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,2,1,5,7,4,3] => [2,6,4,8,3,7,5,1] => [6,2,8,4,1,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,8,6,7,5,2,1,4] => [2,5,3,1,7,8,6,4] => [3,2,8,1,5,7,4,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,1,3,7,5,8,2,4] => [6,8,1,2,7,3,5,4] => [8,6,2,3,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,5,7,3,8,1] => [8,2,7,6,4,5,3,1] => [2,6,7,8,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,1,4,5,8,3,7,2] => [6,7,8,1,4,5,3,2] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,8,7,2,5,3] => [4,6,7,5,3,2,8,1] => [8,5,4,6,1,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,4,5,6,7,10,9] => [8,1,2,3,4,5,6,7,10,9] => [8,1,2,3,4,5,6,7,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[3,2,8,5,1,7,4,6] => [5,3,2,8,7,1,4,6] => [3,8,1,5,7,4,6,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,6,7,2,4,5] => [1,7,3,2,4,8,6,5] => [1,3,8,2,4,7,5,6] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,7,3,8,6,1,2,5] => [6,1,8,4,3,7,2,5] => [6,1,4,8,2,7,5,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,2,7,8,6,1,3,5] => [6,4,1,2,3,8,7,5] => [4,7,2,3,1,6,8,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[3,7,8,6,5,1,4,2] => [5,4,3,1,6,8,7,2] => [3,4,7,2,5,6,8,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[6,3,8,5,2,4,7,1] => [7,5,8,3,6,2,4,1] => [6,8,5,1,7,3,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,3,8,7,6,2,4,5] => [1,6,3,2,4,7,8,5] => [1,3,8,2,4,6,7,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,7,8,6,2,3,5] => [1,6,2,4,3,8,7,5] => [1,4,2,7,3,6,8,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,7,5,6,8,2,3,4] => [1,8,2,3,7,5,6,4] => [1,7,2,3,8,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,5,8,1,3,7,2] => [8,7,1,4,6,5,3,2] => [4,6,2,7,8,1,3,5] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[5,2,6,7,8,1,3,4] => [8,5,1,3,2,6,7,4] => [5,6,2,1,4,7,8,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[4,5,7,8,1,6,2,3] => [8,6,2,4,5,1,7,3] => [4,5,1,6,7,3,8,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[4,5,6,8,1,2,7,3] => [8,1,7,4,5,6,2,3] => [4,1,5,6,7,8,3,2] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[3,6,8,4,7,1,2,5] => [7,1,3,8,2,6,4,5] => [3,1,7,6,4,8,5,2] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[3,5,8,4,1,7,2,6] => [4,8,3,7,5,1,2,6] => [4,3,7,5,8,2,6,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[3,4,8,1,5,7,2,6] => [8,7,3,4,1,2,5,6] => [3,4,7,8,2,5,6,1] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[5,3,8,4,2,7,1,6] => [7,4,8,5,2,1,3,6] => [5,8,4,7,2,3,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,6,5,7,8,2,3,4] => [1,8,2,3,6,5,7,4] => [1,6,2,3,7,4,8,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[5,6,4,8,2,3,7,1] => [7,8,2,6,5,4,3,1] => [6,5,1,7,8,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[6,5,4,8,1,3,7,2] => [8,7,1,5,6,4,3,2] => [5,6,2,8,7,1,3,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[6,2,7,5,8,1,3,4] => [8,6,1,3,7,2,5,4] => [6,8,2,1,7,5,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,2,6,5,8,1,3,4] => [8,7,1,3,6,2,5,4] => [6,7,2,1,8,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[6,3,7,5,2,4,8,1] => [8,5,7,3,6,2,4,1] => [5,8,6,1,7,3,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,2,7,3,1,5,4,6] => [3,7,8,5,2,4,1,6] => [7,5,3,8,2,1,6,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,6,4,7,5,8,3,2] => [1,3,8,6,7,4,5,2] => [1,6,3,8,7,4,2,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,6,8,5,7,3,2,4] => [1,3,7,2,8,6,5,4] => [1,7,3,2,6,8,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,2,5,3,8,6,7,4] => [1,2,5,7,3,8,6,4] => [1,2,8,5,4,7,3,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,7,8,1,2,4] => [8,1,6,2,3,5,7,4] => [6,1,7,3,4,2,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[3,8,1,2,6,4,7,5] => [8,1,3,6,7,2,4,5] => [3,1,6,8,7,5,4,2] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[6,7,2,4,1,3,8,5] => [4,7,1,2,8,6,3,5] => [7,4,2,3,6,8,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,7,1,3,5,4,2,6] => [7,4,1,5,3,2,8,6] => [4,8,2,5,1,3,7,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,4,6,3,2,5,1] => [5,3,6,8,2,4,7,1] => [6,7,3,5,2,1,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[8,7,1,4,6,2,5,3] => [7,6,5,1,2,4,8,3] => [5,6,8,3,4,1,7,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[8,4,3,5,1,7,2,6] => [5,7,4,8,3,2,1,6] => [7,5,8,4,1,2,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,5,2,1,3,7,6] => [2,5,1,8,4,7,3,6] => [7,2,1,5,3,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,8,2,6,1,3,7,5] => [6,8,1,4,7,2,3,5] => [6,4,2,8,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,4,1,6,8,2,7,5] => [4,8,3,1,7,6,2,5] => [4,3,6,2,7,8,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[3,7,8,2,5,6,4,1] => [4,6,3,8,1,5,7,2] => [6,3,7,4,2,1,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[7,6,8,3,5,4,2,1] => [2,4,5,8,1,7,6,3] => [7,2,5,4,3,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,6,7,3,8,5,4,2] => [1,4,5,8,7,6,3,2] => [1,7,5,4,6,8,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,4,8,1,6,5,2] => [8,5,6,2,7,1,4,3] => [5,8,7,2,6,4,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,7,6,2,3,1,5,4] => [3,6,2,5,1,7,8,4] => [5,3,1,8,4,6,7,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,7,2,4,6,1,5,3] => [6,7,5,2,1,4,8,3] => [6,5,8,2,4,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,8,6,5,2,4,3,1] => [3,4,5,1,6,8,7,2] => [7,4,3,2,5,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,6,7,5,2,8,4,1] => [4,8,3,5,7,6,1,2] => [4,3,7,5,6,8,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[5,4,6,7,8,1,3,2] => [8,3,1,5,4,6,7,2] => [3,5,2,6,1,7,8,4] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[7,5,3,2,8,6,4,1] => [4,3,6,5,8,7,2,1] => [4,8,3,6,5,7,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,4,8,6,7,2,3,1] => [3,7,2,5,4,8,6,1] => [5,3,1,8,2,7,4,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,7,8,4,6,3,5,1] => [5,2,6,8,3,4,7,1] => [2,7,6,5,3,1,8,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,8,6,3,1,2,7] => [3,1,6,5,4,8,2,7] => [5,1,3,8,2,6,4,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,5,7,3,6,2,8,1] => [8,6,7,4,5,3,2,1] => [4,6,5,7,8,1,2,3] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[4,5,6,3,8,2,7,1] => [7,8,6,4,5,3,2,1] => [5,4,6,7,8,1,2,3] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[5,4,8,7,2,1,3,6] => [2,7,1,5,4,3,8,6] => [5,2,1,8,3,4,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,5,4,7,8,1,3,6] => [8,2,1,5,4,3,7,6] => [2,5,1,7,3,4,8,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[7,1,4,3,6,2,8,5] => [7,6,4,1,8,3,2,5] => [4,7,8,3,6,2,5,1] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[5,3,6,4,8,2,7,1] => [7,8,5,6,3,4,2,1] => [6,5,8,7,2,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,6,3,7,4,5,1] => [5,8,6,7,4,2,3,1] => [8,5,7,6,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,7,3,5,6,1] => [6,8,7,2,3,5,4,1] => [8,6,7,2,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,5,7,2,6,1] => [6,7,8,3,4,2,5,1] => [8,7,6,1,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,2,7,3,8,1] => [8,6,7,4,5,2,3,1] => [4,6,5,7,8,2,1,3] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[5,2,7,1,3,6,8,4] => [7,5,1,8,2,3,6,4] => [7,8,2,5,4,3,1,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,6,1,5,2,8,3] => [6,5,8,7,1,4,2,3] => [7,8,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,4,6,2,8,3,7,1] => [7,6,8,5,4,2,3,1] => [6,7,5,8,1,3,2,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,2,1,6,3,8,7,4] => [2,5,6,7,1,3,8,4] => [8,2,6,5,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,3,7,1,8,2] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[3,8,4,2,5,1,6,7] => [5,4,3,8,2,1,6,7] => [3,5,8,4,1,2,6,7] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[4,3,1,5,2,8,6,7] => [3,4,5,2,1,8,6,7] => [5,4,3,1,2,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[8,5,4,1,3,2,6,7] => [4,3,1,5,8,2,6,7] => [3,8,2,4,5,1,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,4,1,5,2,6,7] => [4,8,3,5,2,1,6,7] => [4,3,8,5,1,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[2,5,4,3,8,1,6,7] => [8,2,4,5,3,1,6,7] => [2,4,8,5,1,3,6,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,2,5,1,3,8,7,6] => [5,4,1,2,3,7,8,6] => [4,5,2,3,1,8,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[4,1,6,3,5,2,7,8] => [4,5,6,1,3,2,7,8] => [6,5,4,3,1,2,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[4,1,6,5,3,2,7,8] => [4,3,5,1,6,2,7,8] => [4,6,3,2,5,1,7,8] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[7,1,5,3,2,6,4,8] => [7,3,5,6,1,2,4,8] => [3,7,5,6,4,2,1,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[4,2,1,8,6,3,7,5] => [2,4,6,1,8,7,5,3] => [8,2,4,3,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,5,3,1,4,7,8] => [3,2,5,1,6,4,7,8] => [2,6,3,1,5,4,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[2,7,6,4,1,3,5,8] => [4,2,1,6,3,7,5,8] => [2,7,1,4,3,6,5,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[2,7,3,1,6,4,5,8] => [3,2,7,6,4,1,5,8] => [2,6,3,7,1,5,4,8] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,8,3,2,7,4,1,6] => [4,3,7,8,5,2,1,6] => [5,7,3,4,8,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[2,8,6,1,7,4,3,5] => [6,2,4,8,1,7,3,5] => [2,6,8,4,3,7,5,1] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,5,4,6,1,3,7,8] => [6,2,1,5,4,3,7,8] => [2,5,1,6,3,4,7,8] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[2,5,4,1,7,3,6,8] => [4,2,5,7,3,1,6,8] => [2,7,5,4,1,3,6,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,4,1,7,2,5,3,8] => [4,6,7,5,3,2,1,8] => [7,5,4,6,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,8,5,7,1,3,6,4] => [7,2,1,6,8,3,5,4] => [2,7,1,8,6,5,3,4] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,5,2,6,1,3,7,4] => [6,5,1,8,7,4,3,2] => [7,8,2,5,6,1,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,5,6,3,2,4,8] => [7,3,6,2,1,5,4,8] => [3,7,6,1,4,2,5,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,1,2,5,4,6,3,8] => [7,1,6,5,2,4,3,8] => [5,1,6,7,4,2,3,8] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[4,1,2,7,5,6,3,8] => [4,1,6,2,7,5,3,8] => [7,1,4,3,6,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,1,3,5,6,2,4,8] => [7,6,1,2,3,5,4,8] => [6,7,2,3,4,1,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[3,1,4,6,5,2,7,8] => [3,5,1,4,6,2,7,8] => [4,3,2,6,5,1,7,8] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[6,4,1,5,3,2,8,7] => [4,3,6,5,2,1,8,7] => [4,6,3,5,1,2,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[8,6,1,5,2,3,7,4] => [6,5,2,8,4,7,3,1] => [6,8,1,5,2,7,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,7,3,1,8,4,2,6] => [3,7,4,8,5,1,2,6] => [7,3,5,4,8,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,8,6,3,7,5,4] => [2,1,6,5,8,7,4,3] => [2,1,6,8,5,7,3,4] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[4,8,2,3,7,6,5,1] => [5,6,2,4,7,8,3,1] => [7,4,1,8,5,6,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,4,6,3,1,8,2,5] => [3,6,8,7,1,4,2,5] => [8,6,3,7,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,6,8,3,2,5] => [4,3,7,8,1,2,6,5] => [7,8,3,4,2,5,1,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,3,2,8,5,1,4] => [5,3,8,2,6,7,1,4] => [5,8,3,1,6,7,4,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,1,3,8,5] => [4,6,1,2,7,8,5,3] => [8,4,2,3,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,2,6,1,4] => [6,5,8,1,7,3,2,4] => [7,8,5,3,6,2,4,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,6,3,8,7,4,1,2] => [4,1,7,6,5,2,8,3] => [6,1,4,5,8,3,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,3,8,1,5,4,2,7] => [8,4,5,6,1,2,3,7] => [4,8,6,5,3,2,1,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,8,1,4,5,2,7] => [8,5,6,1,4,3,2,7] => [5,8,6,3,1,2,4,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,3,8,5,7,2,6,1] => [6,7,4,3,8,2,5,1] => [7,4,8,1,6,3,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,8,5,1,4,2,7] => [5,4,8,3,6,1,2,7] => [5,8,4,1,6,3,2,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,3,8,4,5,1,2,7] => [5,1,6,8,4,3,2,7] => [8,1,6,5,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,3,2,8,6,7] => [4,3,1,5,2,8,6,7] => [3,5,2,4,1,8,6,7] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[5,1,3,4,2,8,6,7] => [5,4,1,3,2,8,6,7] => [4,5,2,1,3,8,6,7] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[5,2,1,4,3,8,6,7] => [2,5,4,1,3,8,6,7] => [4,2,5,3,1,8,6,7] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[5,1,2,4,3,8,6,7] => [5,1,4,2,3,8,6,7] => [4,1,5,3,2,8,6,7] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[4,2,7,3,8,5,1,6] => [5,4,8,2,7,3,1,6] => [5,8,4,2,7,1,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,3,7,4,8,5,1,6] => [5,2,3,8,7,4,1,6] => [2,3,8,5,7,1,6,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[5,7,6,8,2,4,3,1] => [3,4,8,1,5,7,6,2] => [5,4,3,2,7,8,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[4,3,7,2,8,5,6,1] => [6,7,4,3,8,5,2,1] => [7,4,8,1,6,2,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,3,7,1,8,5,4,6] => [7,2,3,5,8,4,1,6] => [2,3,7,8,5,1,6,4] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[5,3,1,2,4,8,6,7] => [3,1,5,2,4,8,6,7] => [5,1,3,2,4,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,2,4,1,3,8,6,7] => [4,5,1,2,3,8,6,7] => [5,4,2,3,1,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,2,4,3,1,8,6,7] => [3,4,5,1,2,8,6,7] => [5,4,3,2,1,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[4,3,1,6,8,2,5,7] => [3,4,8,2,1,6,5,7] => [6,4,3,1,2,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,3,4,1,2,8,6,7] => [4,1,5,3,2,8,6,7] => [5,1,4,2,3,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[5,3,2,4,1,8,6,7] => [4,3,5,2,1,8,6,7] => [4,5,3,1,2,8,6,7] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[5,2,3,4,1,8,6,7] => [4,5,2,3,1,8,6,7] => [5,4,1,2,3,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[6,8,7,1,4,3,5,2] => [7,5,4,1,3,6,8,2] => [4,5,6,3,1,8,7,2] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[7,3,1,4,5,8,6,2] => [3,7,6,2,4,8,5,1] => [8,3,7,1,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,3,4,6,7,2] => [8,7,1,3,5,4,6,2] => [5,7,2,1,8,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[3,5,2,8,1,6,7,4] => [8,5,3,7,2,1,6,4] => [3,5,8,7,2,4,1,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[6,1,8,4,2,5,3,7] => [6,4,8,5,3,1,2,7] => [5,8,4,6,1,3,2,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,4,5,1,6,2,3,7] => [5,6,2,8,4,1,3,7] => [8,6,1,5,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,8,2,5,4,6] => [3,8,1,5,2,4,7,6] => [5,3,2,7,4,1,8,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[3,7,2,8,6,5,1,4] => [5,6,3,1,8,7,2,4] => [6,3,8,2,5,7,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,2,7,3,6,1,8,4] => [6,5,7,8,2,3,1,4] => [7,8,6,5,3,2,4,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,7,5,8,1,6,4,3] => [8,2,4,6,7,1,5,3] => [2,4,8,6,7,5,1,3] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,8,1,6,7,3,2,5] => [8,3,7,4,2,1,6,5] => [3,7,4,8,1,5,2,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,2,7,8,4,3,6,5] => [1,2,4,8,6,3,7,5] => [1,2,6,4,7,5,8,3] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[4,8,1,3,5,6,2,7] => [8,6,1,4,3,5,2,7] => [4,6,2,8,1,3,5,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[6,8,1,3,2,4,5,7] => [8,3,1,2,4,6,5,7] => [3,6,2,1,4,8,5,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[3,7,4,1,5,6,8,2] => [4,7,3,8,2,5,6,1] => [7,3,8,4,1,2,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,3,7,8,4,2,6,1] => [6,4,8,5,2,3,7,1] => [5,7,4,6,2,1,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[4,6,5,3,1,8,2,7] => [3,5,6,4,8,1,2,7] => [6,4,3,8,5,2,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,7,4,1,3,2,8,6] => [4,3,1,7,5,8,2,6] => [3,5,2,4,8,7,6,1] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[7,5,6,2,8,1,3,4] => [8,6,1,3,7,5,2,4] => [6,8,2,1,7,3,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,5,4,6,7,1,8,2] => [7,8,3,5,4,6,1,2] => [5,3,6,7,1,8,4,2] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,4,2,6,5,8,7,3] => [1,4,7,2,6,5,8,3] => [1,6,4,3,8,2,7,5] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,3,2,6,4,8,7,5] => [1,3,2,6,7,4,8,5] => [1,3,2,8,6,5,7,4] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,4,2,5,3,8,7,6] => [1,4,5,2,3,7,8,6] => [1,5,4,3,2,8,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,4,2,6,3,8,7,5] => [1,4,6,2,7,3,8,5] => [1,8,4,3,6,5,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,6,4,8,7,2] => [1,7,5,6,3,4,8,2] => [1,5,8,6,3,2,7,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,6,2,5,3,8,7,4] => [1,6,5,7,2,3,8,4] => [1,6,8,5,4,3,7,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,5,1,4,3,8,7,6] => [5,2,4,1,3,7,8,6] => [2,4,5,3,1,8,7,6] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,7,2,5,4,8,6,3] => [1,7,6,5,2,8,4,3] => [1,5,7,8,4,6,2,3] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,7,2,6,3,8,5,4] => [1,7,6,5,8,2,3,4] => [1,6,7,8,5,4,3,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,5,2,7,4,8,6,3] => [1,5,6,8,2,7,3,4] => [1,8,6,5,4,7,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,8,4,7,6,5] => [1,3,2,8,6,7,4,5] => [1,3,2,6,8,7,5,4] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,5,2,8,4,7,6,3] => [1,5,6,7,2,8,3,4] => [1,8,7,5,4,6,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,8,4,7,6,2] => [1,6,5,7,3,8,2,4] => [1,7,8,5,3,6,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,6,2,8,3,7,5,4] => [1,6,8,5,7,2,3,4] => [1,7,5,8,6,4,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,8,4,7,3,6,5,2] => [1,5,6,7,8,4,2,3] => [1,8,7,6,5,2,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,2,6,1,5,4,7] => [6,8,3,5,1,2,4,7] => [5,3,6,8,4,2,1,7] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[2,6,3,8,1,5,4,7] => [8,2,6,5,1,3,4,7] => [2,5,6,8,4,3,1,7] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[8,3,1,4,2,6,5,7] => [3,8,4,2,6,1,5,7] => [6,3,4,1,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,6,4,1,5,3,2,7] => [4,3,6,5,2,8,1,7] => [4,8,3,5,1,6,2,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,3,8,7,4,6,2,1] => [2,6,5,7,3,4,8,1] => [6,2,8,5,3,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,3,5,7,4,1,2,6] => [4,1,7,8,2,3,5,6] => [8,1,7,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,3,1,2,7,6] => [3,1,5,4,8,7,2,6] => [4,1,3,7,5,8,6,2] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[2,5,8,7,4,6,3,1] => [3,2,6,7,5,4,8,1] => [2,6,3,5,8,1,7,4] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,8,7,6,5,1,3,2] => [5,3,1,4,6,7,8,2] => [3,4,2,8,5,6,7,1] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[2,8,7,1,3,6,4,5] => [7,2,1,6,4,3,8,5] => [2,6,1,8,3,5,7,4] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,8,4,1,5,2,7,3] => [4,8,5,7,2,6,3,1] => [7,4,6,5,2,8,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,8,4,6,1,2,7,3] => [6,1,7,8,5,4,2,3] => [7,1,6,5,8,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,4,8,6,5,1,7,3] => [5,2,6,4,8,7,1,3] => [2,6,4,8,5,7,3,1] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,8,7,5,1,6,2,3] => [5,7,1,4,6,2,8,3] => [5,4,2,8,6,3,7,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,5,8,3,1,6,7,2] => [3,8,7,4,5,2,6,1] => [5,3,4,7,8,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[6,7,3,2,4,8,5,1] => [5,3,8,1,7,6,4,2] => [5,7,3,2,6,8,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[7,2,8,6,4,5,1,3] => [5,7,1,6,4,8,2,3] => [8,5,2,7,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,8,4,1,3,6] => [4,8,2,5,1,3,7,6] => [7,4,1,5,3,2,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,7,8,6,4,1,3,5] => [4,2,1,6,3,8,7,5] => [2,7,1,4,3,6,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,2,7,4,8,5,3,1] => [3,5,8,6,7,4,2,1] => [8,5,3,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,1,7,3,2,4] => [5,3,8,1,7,6,2,4] => [5,7,3,2,6,8,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,6,8,3,7,4,2,5] => [1,4,7,8,3,6,2,5] => [1,7,6,4,2,8,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,5,2,6,4,8,1,7] => [8,5,3,6,2,4,1,7] => [3,5,8,6,2,1,4,7] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,5,2,4,8,1,7,6] => [8,5,3,2,4,7,1,6] => [3,5,7,1,2,8,6,4] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[6,3,8,2,4,1,7,5] => [4,8,6,2,7,3,1,5] => [8,4,6,2,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,2,1,7,5,3] => [2,4,8,5,7,6,3,1] => [7,2,4,5,6,8,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,5,3,1,4,8,2,7] => [3,5,6,1,8,4,2,7] => [8,6,3,2,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,3,8,5,4,1] => [4,5,8,7,6,1,2,3] => [8,6,4,5,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,3,8,2,4,7] => [1,8,6,2,5,3,4,7] => [1,5,6,3,8,4,2,7] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[2,6,7,4,3,8,5,1] => [5,2,4,8,7,6,1,3] => [2,5,7,4,6,8,3,1] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,5,8,7,2,4,6,3] => [1,7,6,2,5,4,8,3] => [1,5,6,3,8,2,7,4] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[3,7,2,8,1,5,4,6] => [8,7,3,5,1,4,2,6] => [3,5,7,8,4,1,6,2] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[7,2,1,5,8,4,3,6] => [2,7,4,8,1,3,5,6] => [7,2,8,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,8,1,4,3,6,5] => [8,7,4,1,6,3,2,5] => [4,6,7,3,8,2,5,1] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,7,4,8,3,2,6,5] => [1,3,8,7,6,2,4,5] => [1,6,3,7,8,5,4,2] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[6,1,5,4,3,8,2,7] => [6,8,4,5,1,3,2,7] => [5,4,8,6,3,1,2,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,7,4,5,6,8,2,3] => [1,8,2,7,4,5,6,3] => [1,7,2,8,3,4,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,3,4,5,6,7,9,8,2] => [1,8,3,4,5,6,7,9,2] => [1,3,4,5,6,7,9,8,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,6,4,2,3,5,7,8] => [1,4,2,6,3,5,7,8] => [1,6,2,4,3,5,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,8,5,2,3,4,6,7] => [1,5,2,3,8,4,6,7] => [1,8,2,3,5,4,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,2,3,4,5,6] => [1,7,2,3,4,5,8,6] => [1,8,2,3,4,5,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,7,6,4,5,8] => [1,3,2,6,4,7,5,8] => [1,3,2,7,4,6,5,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,2,3,7,6,4,5,8] => [1,2,3,6,4,7,5,8] => [1,2,3,7,4,6,5,8] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,5,4,2,3,7,6,8] => [1,4,2,5,3,7,6,8] => [1,5,2,4,3,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,5,4,2,3,8,6,7] => [1,4,2,5,3,8,6,7] => [1,5,2,4,3,8,6,7] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,3,2,8,6,4,5,7] => [1,3,2,6,4,8,5,7] => [1,3,2,8,4,6,5,7] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,8,6,5,2,3,4,7] => [1,5,2,3,6,8,4,7] => [1,8,2,3,5,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,8,5,2,3,4,6] => [1,5,2,3,8,4,7,6] => [1,7,2,3,5,4,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,1,5,8,6,3,7,4] => [2,1,6,8,5,7,4,3] => [2,1,6,5,8,7,3,4] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[2,5,8,4,6,1,7,3] => [6,2,7,8,5,4,1,3] => [2,7,6,5,8,1,4,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,5,3,8,6,1,7,4] => [6,2,5,8,3,7,4,1] => [2,6,8,5,3,7,1,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,3,2,8,6,1,7,4] => [6,3,5,8,2,7,4,1] => [3,8,6,5,2,7,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,8,6,1,4,7,2] => [6,8,5,2,3,7,4,1] => [6,5,8,2,3,7,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,6,5,4,8,1,7,3] => [8,2,7,5,6,4,1,3] => [2,5,6,8,7,1,4,3] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[8,3,5,7,2,6,4,1] => [4,6,7,8,1,3,5,2] => [8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,8,5,3,7,1] => [7,2,5,4,8,6,3,1] => [2,4,6,7,5,8,1,3] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[8,5,4,7,2,6,3,1] => [3,6,7,5,8,1,4,2] => [7,6,3,8,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,6,4,8,5,2,7,1] => [7,5,3,8,6,2,4,1] => [3,6,8,5,7,2,1,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,6,4,1,8,2,7,5] => [4,6,3,8,7,2,1,5] => [6,3,8,4,7,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,1,6,3,5,7,8,2] => [4,8,6,1,3,5,7,2] => [7,4,6,3,1,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,3,6,2,5,7,8,1] => [8,6,4,3,2,5,7,1] => [4,6,7,1,2,3,8,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[2,4,1,6,5,7,8,3] => [4,2,8,1,6,5,7,3] => [2,6,4,3,7,1,8,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,7,3,1,8,6,5,2] => [3,7,5,4,6,8,2,1] => [5,3,4,8,7,6,1,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,7,6,3,2,5,1,8] => [5,3,6,4,2,7,1,8] => [4,5,3,7,1,6,2,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[4,7,3,8,6,2,1,5] => [2,6,8,4,3,7,1,5] => [6,2,4,8,1,7,5,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,5,4,8,2,1,6,3] => [2,8,6,5,7,1,4,3] => [5,2,7,8,6,4,1,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[6,2,7,5,1,8,4,3] => [5,7,4,6,8,3,2,1] => [7,4,8,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,7,5,3,1,8,6,4] => [3,2,5,7,6,8,4,1] => [2,8,3,5,7,6,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,8,4,3,1,6] => [3,4,8,5,7,1,2,6] => [8,4,3,5,7,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,4,1,8,6,5] => [4,3,7,2,6,8,1,5] => [4,7,3,1,8,6,5,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,4,3,2,7,5,1,6] => [5,3,4,7,8,2,1,6] => [3,8,7,4,5,1,6,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,5,8,2,1,6] => [2,8,4,3,7,1,5,6] => [4,2,7,1,8,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[4,3,7,5,2,6,1,8] => [6,5,4,3,7,2,1,8] => [4,6,7,1,5,2,3,8] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[8,4,5,3,7,2,1,6] => [2,7,5,8,4,1,3,6] => [7,2,8,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,4,8,2,1,7,5] => [2,8,3,6,7,4,1,5] => [3,2,6,8,7,4,5,1] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[3,4,2,7,5,1,8,6] => [5,4,3,2,7,8,1,6] => [3,4,8,1,5,7,6,2] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,3,5,2,8,6,1,7] => [6,5,4,3,2,8,1,7] => [4,5,8,1,2,6,3,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,5,3,6,8,2,1,7] => [2,8,5,4,3,6,1,7] => [4,2,5,6,1,8,3,7] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,2,8,6,4,5,7,3] => [1,2,7,6,4,8,5,3] => [1,2,7,8,3,6,4,5] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,8,5,3,4,6,7,2] => [1,7,5,3,8,4,6,2] => [1,7,8,2,5,3,4,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,8,4,1,6,3,5,2] => [4,8,5,6,1,2,7,3] => [7,4,6,5,3,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,2,3,4,6,8,5,7,9] => [1,2,3,4,8,6,5,7,9] => [1,2,3,4,6,8,5,7,9] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,6,4,1,8,5,7] => [4,3,2,6,8,1,5,7] => [3,8,1,4,6,5,2,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,6,5,3,1,4,7] => [3,2,5,1,6,8,4,7] => [2,8,3,1,5,6,4,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,8,6,2,3,1,7] => [3,6,2,5,4,8,1,7] => [5,3,1,8,2,6,4,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,8,7,5,2,3,1,6] => [3,5,2,4,7,1,8,6] => [4,3,1,8,5,2,7,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,2,4,7,6,8,3,1] => [3,8,5,1,4,7,6,2] => [7,3,5,2,1,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,5,3,7,6,8,4,1] => [4,2,8,5,1,7,6,3] => [2,7,4,5,3,8,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[8,6,5,1,4,2,3,7] => [5,4,2,1,6,8,3,7] => [4,8,1,3,5,6,2,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,8,6,5,3,7] => [4,1,5,2,6,8,3,7] => [8,1,4,3,5,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,3,2,6,4,7] => [5,3,1,8,6,4,2,7] => [3,8,2,5,6,1,4,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,8,5,2,3,7] => [6,5,2,4,8,1,3,7] => [4,6,1,8,5,3,2,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,4,2,8,7,5,1,6] => [5,4,3,2,7,1,8,6] => [3,4,8,1,5,2,7,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[8,5,7,6,3,2,4,1] => [4,3,6,2,7,8,1,5] => [4,8,3,1,7,6,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,2,8,5,4,6] => [7,1,3,5,8,4,2,6] => [3,1,7,8,5,2,6,4] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[7,4,6,8,3,1,5,2] => [3,8,5,7,2,4,6,1] => [8,3,5,7,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,1,5,8,4,2] => [6,4,3,7,2,8,5,1] => [3,7,8,4,1,6,2,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,6,5,8,2,7,4,1] => [4,7,3,8,6,5,1,2] => [6,3,7,4,8,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,3,2,7,4,6,5,1] => [5,3,6,8,7,1,4,2] => [7,8,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,7,6,4,8,3,5,2] => [1,5,8,6,3,7,4,2] => [1,8,5,6,3,7,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,2,3,8,4,5] => [7,6,2,8,4,1,3,5] => [7,8,1,6,2,5,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,4,7,1,3,2,8,5] => [7,3,1,6,8,4,2,5] => [3,7,2,8,6,4,5,1] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,1,3,8,7,2,6,4] => [5,7,1,6,3,2,8,4] => [8,5,2,6,3,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,2,5,3,4] => [7,6,5,3,2,1,8,4] => [5,6,8,1,3,4,7,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[3,8,5,2,4,7,6,1] => [6,5,3,1,7,8,4,2] => [3,7,8,2,5,6,1,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,8,7,3,5,1,6,4] => [5,2,7,6,3,1,8,4] => [2,8,5,6,3,4,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,5,2,3,6,1,4] => [6,5,2,1,7,3,8,4] => [6,8,1,3,5,4,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,5,2,4,8,3,6] => [7,5,8,2,1,3,4,6] => [7,8,5,2,4,3,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,4,1,8,7,2,3,5] => [4,6,1,7,3,2,8,5] => [8,6,2,4,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,3,2,4,5] => [7,3,6,2,4,1,8,5] => [3,8,6,1,2,5,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,5,8,4,1,6] => [4,3,8,7,1,2,5,6] => [4,8,3,7,2,5,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,3,8,1,6,5] => [8,7,2,4,6,1,3,5] => [4,6,1,7,8,5,3,2] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[8,2,3,1,6,7,5,4] => [3,8,2,5,7,1,6,4] => [5,3,1,8,7,4,2,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,5,8,1,6,3,2,4] => [8,3,6,2,7,1,5,4] => [3,8,6,1,7,5,2,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,5,6,4,8,1] => [8,7,3,6,2,5,4,1] => [3,6,7,8,2,1,4,5] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[6,7,2,4,1,5,8,3] => [4,7,8,2,1,6,5,3] => [7,6,4,2,3,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,2,7,5,1,6,8,3] => [5,4,7,2,8,3,6,1] => [7,8,4,2,5,1,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,8,1,6,2,3,7,4] => [8,6,2,7,5,1,3,4] => [5,7,1,6,8,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[7,1,4,8,5,6,2,3] => [7,6,2,1,8,5,4,3] => [7,8,1,3,6,2,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,6,1,2,4,7,3] => [6,1,7,2,8,5,4,3] => [8,1,7,3,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,8,4,7,1,3] => [7,5,1,8,2,6,4,3] => [6,7,2,5,4,8,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[3,6,5,8,2,7,1,4] => [7,8,3,1,6,5,2,4] => [6,3,7,2,8,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,1,6,3,8,2,5,4] => [7,8,6,5,2,1,3,4] => [6,5,7,8,3,4,2,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,1,5,6,4,3,7,2] => [8,7,4,6,1,5,3,2] => [4,6,8,7,3,1,2,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,3,8,1,4,6,5,2] => [8,5,6,1,7,4,2,3] => [5,8,7,3,6,1,4,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,5,1,2,3,6,7,8,9] => [5,1,2,4,3,6,7,8,9] => [4,1,2,5,3,6,7,8,9] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[3,9,1,2,4,5,6,7,8] => [9,1,3,2,4,5,6,7,8] => [3,1,9,2,4,5,6,7,8] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,3,4,5,6,7,9] => [1,8,2,3,4,5,6,7,9] => [1,8,2,3,4,5,6,7,9] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,1,7,5,3,6,2,4] => [8,6,5,2,7,3,1,4] => [5,7,8,2,6,3,4,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[5,8,6,3,1,7,2,4] => [3,6,8,2,5,7,1,4] => [6,5,3,1,8,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,8,6,3,5,7,2,1] => [2,7,6,4,3,8,5,1] => [4,2,7,8,1,6,3,5] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[5,2,8,3,6,1,4,7] => [6,5,8,1,2,3,4,7] => [6,8,5,3,4,2,1,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,2,6,3,1,7,8,4] => [3,6,5,8,1,2,7,4] => [7,3,6,5,4,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,8,6,5,1,7,2,3] => [5,6,2,4,8,7,1,3] => [6,4,1,8,5,7,3,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,3,5,1,6,7,8,2] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[5,1,4,3,6,7,8,2] => [5,8,4,1,3,6,7,2] => [5,4,6,3,1,7,8,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[5,7,6,1,2,3,8,4] => [6,1,2,7,5,8,4,3] => [7,1,2,5,8,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,6,7,5,1,2,8,4] => [5,1,3,7,8,6,4,2] => [3,1,7,6,5,8,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[5,7,6,8,1,2,4,3] => [8,1,4,2,5,7,6,3] => [4,1,5,3,7,8,2,6] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[3,4,6,1,5,2,8,7] => [6,5,3,4,1,2,8,7] => [3,4,5,6,2,1,8,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[5,6,3,7,1,4,8,2] => [7,8,6,1,5,3,4,2] => [6,5,7,3,8,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,5,1,4,2,3,8,6] => [5,4,2,1,7,8,3,6] => [4,8,1,3,5,7,6,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,4,1,7,8,5] => [4,2,6,3,8,1,7,5] => [2,7,4,1,6,5,8,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,6,3,4,2,7,8,5] => [1,4,6,3,8,2,7,5] => [1,7,4,2,6,5,8,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[11,10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[6,5,3,1,7,8,2,4] => [3,5,6,2,8,1,7,4] => [7,6,3,1,5,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,4,3,7,8,2,1,5] => [2,8,4,6,1,3,7,5] => [4,2,7,6,3,5,8,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[6,5,3,7,2,1,8,4] => [2,7,5,6,8,4,1,3] => [6,2,8,7,5,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,8,5,3,6,2,4,1] => [4,6,5,2,8,3,7,1] => [7,4,6,2,5,1,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,8,4,3,2,6,7,5] => [1,3,4,8,7,2,6,5] => [1,7,3,4,8,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,3,8,2,1,7,6] => [2,8,4,5,3,7,1,6] => [4,2,7,5,1,8,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[6,5,3,1,2,8,7,4] => [3,1,5,6,7,4,8,2] => [8,1,3,6,5,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,1,3,2,6,4] => [8,3,1,6,7,2,5,4] => [3,6,2,8,7,5,1,4] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,8,6,7,3,2,5,4] => [1,3,7,5,2,8,6,4] => [1,5,3,8,4,7,2,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,8,6,7,3,2,4,5] => [1,3,7,2,4,8,6,5] => [1,8,3,2,4,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,8,2,1,6,7] => [2,8,4,5,3,1,6,7] => [4,2,8,5,1,3,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,4,8,3,2,5,1,7] => [5,3,8,6,2,4,1,7] => [5,8,3,6,2,1,4,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,8,4,3,2,5,7,6] => [1,3,4,8,2,7,5,6] => [1,7,3,4,2,8,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,4,8,3,2,5,7,1] => [7,3,8,6,2,4,5,1] => [6,7,3,8,2,4,1,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[6,4,2,3,5,1,8,7] => [5,4,2,6,3,1,8,7] => [5,6,1,4,2,3,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[5,2,3,6,1,4,8,7] => [6,5,2,1,3,4,8,7] => [5,6,1,3,4,2,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[5,2,3,8,6,4,7,1] => [7,5,2,6,3,8,4,1] => [5,8,1,7,3,6,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,2,3,7,4,8,1,6] => [8,5,2,7,3,1,4,6] => [5,8,1,7,3,4,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,3,2,5,4,7,1] => [7,3,6,5,2,8,4,1] => [3,7,5,8,2,6,1,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,3,4,5,8,1,6] => [8,7,2,3,4,1,5,6] => [7,8,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,2,8,1,5,3,4,6] => [8,7,5,3,1,4,2,6] => [5,7,8,1,4,2,6,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[2,1,8,6,4,5,7,3] => [2,1,7,6,4,8,5,3] => [2,1,7,8,3,6,4,5] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[5,8,2,3,4,7,1,6] => [7,8,2,3,5,1,4,6] => [7,5,1,2,8,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,7,8,5,2,6,4,1] => [4,6,3,5,8,1,7,2] => [4,3,7,6,5,2,8,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[3,8,6,2,7,4,5,1] => [5,6,3,8,2,7,4,1] => [6,3,8,5,2,7,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,5,4,7,1,3,6,2] => [7,6,1,5,8,3,4,2] => [6,7,2,8,5,3,1,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,3,6,2,8,1,5,4] => [8,6,7,5,1,3,2,4] => [5,7,6,8,4,2,3,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[8,1,5,2,3,7,6,4] => [8,5,2,6,1,7,3,4] => [5,8,1,6,4,7,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,4,2,3,6,7,1,5] => [7,4,2,8,1,3,6,5] => [7,8,1,4,3,5,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,5,8,3,7,2,1,6] => [2,7,8,4,5,1,3,6] => [5,2,4,7,8,3,6,1] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[3,5,1,8,4,6,2,7] => [5,6,3,8,1,4,2,7] => [6,3,8,5,4,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,2,1,5,6,8,3,7] => [2,4,8,1,5,6,3,7] => [5,2,4,3,6,8,1,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[4,1,2,6,5,8,3,7] => [4,1,8,2,6,5,3,7] => [6,1,4,3,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,1,8,3,2,6,7,5] => [4,3,8,1,7,2,6,5] => [4,7,3,2,8,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,2,7,5,8,1,3,6] => [8,4,1,2,7,3,5,6] => [4,7,2,3,8,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,6,1,3,8,2,5,7] => [6,8,1,4,2,3,5,7] => [6,4,2,8,3,5,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,3,6,2,1,8,7,5] => [2,6,4,3,7,1,8,5] => [4,2,8,1,6,5,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,3,7,4,1,6,2,5] => [4,7,6,8,3,2,1,5] => [8,6,7,4,1,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,8,4,7,2,5] => [3,6,7,8,1,2,4,5] => [8,7,3,6,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,8,6,3,2,5] => [7,3,6,1,2,8,4,5] => [3,8,7,2,4,6,5,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,8,5,6,7,2,3] => [4,7,2,1,8,5,6,3] => [8,4,1,3,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,4,1,6,2,7] => [4,8,6,5,1,2,3,7] => [8,4,5,6,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,5,6,7,3,4] => [1,8,7,3,2,5,6,4] => [1,7,8,2,4,3,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[8,3,1,2,5,7,4,6] => [3,1,8,7,2,4,5,6] => [7,1,3,8,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,1,6,2,7,3,8,4,9] => [5,6,7,8,1,2,3,4,9] => [8,7,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[5,1,6,2,7,3,8,4,10,9] => [5,6,7,8,1,2,3,4,10,9] => [8,7,6,5,4,3,2,1,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[4,1,5,2,6,3,8,7,10,9] => [4,5,6,1,2,3,8,7,10,9] => [6,5,4,3,2,1,8,7,10,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[5,4,1,3,8,2,7,6] => [4,5,2,8,3,7,1,6] => [7,5,1,4,2,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,8,1,2,3,6,4,7] => [8,1,2,6,5,3,4,7] => [5,1,2,6,8,4,3,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[5,6,8,2,3,4,1,7] => [4,8,2,3,5,6,1,7] => [5,4,1,2,6,8,3,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[3,7,4,5,8,1,2,6] => [8,1,3,7,4,2,5,6] => [3,1,7,8,2,5,6,4] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[5,8,2,1,6,3,4,7] => [2,8,6,3,5,1,4,7] => [5,2,6,1,8,4,3,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[3,7,1,8,5,4,2,6] => [7,4,3,5,8,2,1,6] => [3,4,8,7,5,1,6,2] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[5,4,2,1,3,6,8,7] => [2,4,1,5,3,6,8,7] => [5,2,1,4,3,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[2,4,7,5,8,3,6,1] => [6,2,8,4,7,3,5,1] => [2,6,4,8,7,3,1,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,8,5,7,3,1,2,6] => [3,1,7,4,8,2,5,6] => [4,1,3,8,7,5,6,2] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,8,7,5,1,3,2,6] => [5,3,1,4,7,2,8,6] => [3,4,2,8,5,1,7,6] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[4,2,8,5,1,3,6,7] => [5,4,1,2,8,3,6,7] => [4,8,2,3,5,1,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,5,8,2,1,6] => [2,8,3,4,7,1,5,6] => [3,2,4,7,8,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[3,4,5,7,2,8,1,6] => [8,7,3,4,5,1,2,6] => [3,4,5,7,8,2,6,1] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,3,6,8,7,2,4,5] => [1,7,3,2,4,6,8,5] => [1,3,6,2,4,8,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,5,4,8,7,2,3,6] => [1,7,2,5,4,3,8,6] => [1,5,2,8,3,4,7,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,8,2,6,4,5,3,7] => [1,8,5,6,4,2,3,7] => [1,5,8,6,2,4,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,5,2,7,4,8,3,6] => [1,5,8,7,2,3,4,6] => [1,8,5,7,4,3,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,3,6,7,5,4] => [1,8,2,5,7,3,6,4] => [1,5,2,8,7,4,3,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,3,6,8,2,7,5,4] => [1,8,3,5,7,6,2,4] => [1,3,5,7,6,8,4,2] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,6,5,4,3,8,2,7] => [1,8,4,5,6,3,2,7] => [1,4,8,5,6,2,3,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,8,3,6,2,4,5,7] => [1,6,8,2,4,3,5,7] => [1,8,6,3,2,5,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,8,3,6,2,7] => [1,6,8,5,4,3,2,7] => [1,6,5,8,2,3,4,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,4,5,8,3,6,2,7] => [1,6,8,4,5,3,2,7] => [1,5,4,6,8,2,3,7] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,3,6,8,4,5,2,7] => [1,5,3,8,4,6,2,7] => [1,3,6,5,2,8,4,7] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,2,7,8,4,5,3,6] => [1,2,5,8,4,3,7,6] => [1,2,7,5,3,4,8,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[7,2,8,5,6,3,4,1] => [4,7,6,3,8,5,2,1] => [8,4,7,1,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,4,3,7,1,5] => [7,6,4,8,1,2,3,5] => [6,7,8,4,3,5,2,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[3,6,2,7,1,5,4,8] => [7,6,3,5,1,2,4,8] => [3,5,6,7,4,2,1,8] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,2,5,4,8,3,7,6] => [1,2,8,5,4,7,3,6] => [1,2,5,7,3,8,6,4] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,4,3,6,8,7,2,5] => [1,7,4,3,2,6,8,5] => [1,4,6,2,3,8,7,5] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,5,3,7,6,8,2,4] => [1,8,5,2,3,7,6,4] => [1,5,7,3,4,8,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[3,2,5,7,6,8,1,4] => [8,3,2,1,5,7,6,4] => [3,5,1,2,7,8,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[6,3,2,7,4,8,5,1] => [5,3,8,6,7,4,1,2] => [5,8,3,7,6,1,4,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,1,8,6,4,7,2,5] => [3,7,1,6,2,8,4,5] => [7,3,2,8,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,4,2,6,7,3,1,8] => [3,7,4,5,1,6,2,8] => [6,3,4,5,2,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[4,8,5,1,3,7,2,6] => [5,8,2,4,7,1,3,6] => [5,4,1,8,7,3,6,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,3,8,7,2,6,5,1] => [5,6,4,3,7,1,8,2] => [6,4,8,1,5,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,7,5,1,8,4,6,3] => [5,2,7,6,8,1,3,4] => [2,8,6,7,5,4,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,6,2,1,7,5,3] => [2,6,5,7,8,3,1,4] => [7,2,8,6,5,3,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,8,5,2,1,6,4,3] => [2,5,4,8,6,3,7,1] => [5,2,7,4,6,1,8,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[2,4,5,8,6,7,1,3] => [7,2,1,4,5,8,6,3] => [2,4,1,5,8,7,3,6] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[4,3,7,5,6,2,8,1] => [8,6,4,3,7,5,2,1] => [4,6,8,1,7,2,3,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,5,1,8,6,7,3,2] => [5,3,7,4,1,8,6,2] => [4,5,3,8,2,7,1,6] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[2,1,5,8,6,7,4,3] => [2,1,4,7,5,8,6,3] => [2,1,5,4,8,7,3,6] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[5,3,8,6,4,7,2,1] => [2,7,5,6,3,8,4,1] => [5,2,8,7,3,6,1,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,6,4,7,2,1,8,5] => [2,7,3,6,8,4,1,5] => [3,2,7,8,6,4,5,1] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[3,8,4,6,1,7,2,5] => [6,7,3,8,2,4,1,5] => [7,3,8,6,2,4,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,5,6,4,7,2,1] => [2,7,3,6,8,5,4,1] => [3,2,7,8,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[3,8,6,5,1,7,2,4] => [5,6,3,2,8,7,1,4] => [6,3,8,1,5,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,1,4,6,7,2,8,3] => [5,7,8,1,4,6,2,3] => [7,6,5,3,1,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,5,4,7,1,3,8,2] => [7,8,1,5,6,4,3,2] => [6,5,2,8,7,1,3,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,1,6,5,3,7,8,4] => [2,1,5,6,8,4,7,3] => [2,1,7,6,5,3,8,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,3,4,5,6,7,8,10,11,9] => [1,2,3,4,5,6,7,8,11,10,9] => [1,2,3,4,5,6,7,8,10,11,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,2,4,5,6,8,9,7] => [1,3,2,4,5,6,9,8,7] => [1,3,2,4,5,6,8,9,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,2,7,5,8,3,6] => [4,1,8,2,7,3,5,6] => [7,1,4,3,8,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,2,1,3,8,4,5] => [2,7,1,8,4,6,3,5] => [7,2,1,6,3,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,7,4,1,8,3,2,6] => [4,3,7,8,5,1,2,6] => [5,7,3,4,8,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[4,1,7,5,8,3,6,2] => [4,6,8,1,7,3,5,2] => [8,6,4,3,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,3,8,4,5,2] => [7,5,1,8,4,6,3,2] => [6,7,2,5,1,8,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,6,7,4,3,8,5,2] => [1,5,4,8,7,6,2,3] => [1,5,7,4,6,8,3,2] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[6,7,3,2,8,4,5,1] => [5,3,7,8,4,6,2,1] => [6,7,3,5,1,8,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,2,6,7,4,3,8,5] => [1,2,4,7,8,6,3,5] => [1,2,7,4,6,8,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,7,5,8,1,6,3,4] => [8,2,6,3,7,1,5,4] => [2,6,8,1,7,5,3,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,7,1,8,4,5,3,2] => [7,3,5,8,4,6,1,2] => [3,7,6,5,1,8,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[8,3,7,6,1,2,5,4] => [6,1,7,5,3,8,2,4] => [7,1,5,8,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,3,4,7,1,5,6] => [7,8,2,3,1,5,4,6] => [8,7,1,2,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,6,2,4,1] => [4,6,7,2,3,5,8,1] => [8,6,4,2,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,7,5,1,2,3] => [5,1,2,7,8,3,6,4] => [8,1,2,7,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,6,2,1,5,4] => [2,6,7,5,1,3,8,4] => [6,2,5,8,4,3,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,7,4,6,5,2,1,3] => [2,5,1,6,7,3,8,4] => [8,2,1,6,5,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,2,7,5,6,1] => [6,4,8,3,7,5,2,1] => [6,8,4,1,7,2,3,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,7,6,5,1,2,3] => [5,1,2,6,7,8,4,3] => [8,1,2,7,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,2,7,4,6,1] => [6,5,8,7,3,4,2,1] => [7,8,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,2,6,7,4,1,3] => [4,7,2,5,8,1,6,3] => [8,4,1,7,5,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,2,7,6,4,1] => [4,3,6,5,7,8,2,1] => [4,8,3,7,5,6,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,6,1,5,8,3] => [6,2,8,7,1,4,5,3] => [2,8,6,7,4,3,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,8,4,5,1,6,7] => [5,2,3,8,4,1,6,7] => [2,3,8,5,1,4,6,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,7,3,1,5,4,6,2] => [3,7,6,5,2,4,8,1] => [6,3,5,8,2,1,7,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,2,5,4,8,3,1,7] => [3,8,6,5,1,4,2,7] => [6,3,5,8,4,1,2,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,4,7,6,3,1,8,2] => [3,6,7,5,4,8,1,2] => [7,5,3,8,1,6,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,5,6,7,3,8,2,4] => [1,8,7,2,5,6,3,4] => [1,5,6,3,7,8,4,2] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[8,2,4,3,1,5,6,7] => [3,4,8,1,2,5,6,7] => [8,4,3,2,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,5,8,4,6,2] => [1,6,7,8,3,4,5,2] => [1,8,7,6,3,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,3,1,2,5,6,7] => [3,1,8,4,2,5,6,7] => [4,1,3,8,2,5,6,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[8,7,5,1,3,4,6,2] => [5,7,2,3,6,4,8,1] => [8,5,1,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,2,4,6,5,1] => [5,6,3,1,7,4,8,2] => [6,3,8,2,5,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,6,5,1,8,3,2,7] => [5,3,6,4,8,2,1,7] => [4,6,3,8,5,1,2,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[6,5,7,1,3,2,8,4] => [7,3,1,8,6,5,2,4] => [3,7,2,6,8,1,5,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[2,7,3,6,4,8,5,1] => [5,2,8,7,6,4,1,3] => [2,8,5,6,7,1,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,5,8,4,6,2] => [7,6,3,8,1,4,5,2] => [3,7,8,6,4,2,1,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,8,4,1,2,5,6,7] => [4,1,3,8,2,5,6,7] => [3,1,8,4,2,5,6,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,7,6,4,8,5,2] => [1,5,3,8,6,7,2,4] => [1,3,8,5,6,7,4,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,7,1,6,5,3,2,8] => [7,3,5,4,6,1,2,8] => [3,5,4,7,6,2,1,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[5,4,1,8,6,3,2,7] => [4,3,5,6,2,8,1,7] => [5,8,3,4,1,6,2,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,6,3,2,8] => [4,3,5,6,2,7,1,8] => [5,7,3,4,1,6,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[8,5,6,1,4,3,2,7] => [6,3,4,1,8,5,2,7] => [3,8,4,2,6,1,5,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,6,1,4,3,2,7] => [6,3,4,1,5,8,2,7] => [3,5,4,2,8,6,1,7] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[8,7,5,1,4,3,2,6] => [5,3,4,1,7,2,8,6] => [3,8,4,2,5,1,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,2,7,6,4,8] => [3,5,1,6,2,7,4,8] => [7,3,2,5,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,8,6,3,4,2,5,7] => [1,4,6,3,2,8,5,7] => [1,8,4,2,3,6,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,4,5,8,7,2] => [3,7,1,6,4,5,8,2] => [6,3,2,8,1,4,7,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,1,6,4,5,2,7,8] => [3,5,1,6,4,2,7,8] => [6,3,2,5,1,4,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[3,1,6,4,5,8,2,7] => [3,8,1,6,4,5,2,7] => [6,3,2,8,1,4,5,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,1,6,3,4,7,5,2] => [8,5,7,2,6,1,4,3] => [5,8,6,2,7,4,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,8,6,3,4,2,7,5] => [1,4,6,3,8,7,5,2] => [1,8,4,2,6,7,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,7,5,8,4] => [3,6,2,8,7,1,5,4] => [8,3,1,6,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,3,5,2,8,4] => [6,5,7,8,3,1,2,4] => [7,8,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,6,3,1,4,5,2,7] => [3,6,5,2,4,8,1,7] => [8,3,5,1,2,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,8,5,4,3,1] => [3,4,5,8,6,1,7,2] => [7,5,3,4,6,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,2,3,6,1,5,8,4] => [6,7,2,8,1,3,5,4] => [8,7,1,6,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,4,7,1,6,8] => [7,5,2,3,4,1,6,8] => [5,7,1,2,3,4,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[3,7,4,2,5,1,6,8] => [5,4,3,7,2,1,6,8] => [3,5,7,4,1,2,6,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,4,7,8,5,2,3,6] => [1,5,2,4,8,3,7,6] => [1,4,2,7,5,3,8,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[7,6,3,5,2,1,4,8] => [2,5,6,1,3,7,4,8] => [7,2,5,3,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,5,1,7,2,4,8,3] => [5,6,7,3,8,2,4,1] => [8,7,6,1,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,1,4,2,5,8] => [7,4,3,1,2,6,5,8] => [3,4,6,2,1,7,5,8] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[4,7,5,8,2,1,3,6] => [2,8,1,4,7,3,5,6] => [4,2,1,7,8,5,6,3] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[8,1,2,7,5,4,3,6] => [8,1,4,5,7,3,2,6] => [4,1,8,5,7,2,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,5,1,8,3,7,2,4] => [5,6,7,3,8,2,1,4] => [8,7,6,1,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,3,2,6,4,7] => [8,3,5,6,1,2,4,7] => [3,8,5,6,4,2,1,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,3,6,5,4,2,7] => [1,4,5,6,8,3,2,7] => [1,8,6,4,5,2,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,5,3,2,6,4] => [1,3,5,7,6,4,8,2] => [1,8,3,5,6,2,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,6,3,2,8,4] => [5,3,6,7,1,8,4,2] => [7,8,3,5,4,6,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,7,6,2,5,1,3,8] => [5,6,1,4,2,7,3,8] => [5,4,2,7,3,6,1,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[4,7,3,1,5,6,8,2] => [3,7,8,4,2,5,6,1] => [7,4,3,8,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,4,6,8,1,5,7,2] => [8,7,3,4,1,6,5,2] => [3,4,6,7,2,8,1,5] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[5,7,6,1,4,3,8,2] => [6,7,4,2,5,8,3,1] => [5,4,7,2,8,6,1,3] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,2,6,7,4,8,1,3] => [8,5,1,7,2,6,4,3] => [5,7,2,6,4,8,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,7,5,2,4,1,3,8] => [4,5,1,2,7,6,3,8] => [6,4,2,3,5,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[5,7,6,1,3,4,8,2] => [6,7,2,3,5,8,4,1] => [7,5,1,2,8,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,5,6,4,8,1,3,2] => [8,3,1,6,7,5,4,2] => [3,6,2,8,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,7,5,2,6,4,8,3] => [1,5,7,8,6,3,2,4] => [1,8,6,5,7,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,7,8,4,6,3] => [1,2,6,8,5,4,7,3] => [1,2,6,5,7,3,8,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,7,2,8,4,3,5,6] => [1,7,4,8,3,5,2,6] => [1,7,8,4,2,3,6,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[8,6,1,7,5,2,4,3] => [6,5,4,1,8,7,2,3] => [4,6,8,3,5,7,2,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,6,4,1,8,3,2,5] => [4,3,6,7,2,8,1,5] => [7,8,3,4,1,6,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,4,1,6,5,2,7,3] => [4,8,5,6,7,2,1,3] => [8,4,7,5,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,5,7,8,3,6] => [2,4,8,1,5,3,7,6] => [5,2,4,3,7,1,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,2,4,7,6,3,8,5] => [1,2,6,4,7,8,5,3] => [1,2,4,8,7,6,3,5] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[8,6,4,1,5,7,3,2] => [4,3,6,8,1,7,5,2] => [6,8,3,4,2,7,1,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,2,8,7,4,3,6,5] => [1,2,4,7,6,3,8,5] => [1,2,6,4,8,5,7,3] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[3,2,1,7,5,8,4,6] => [2,3,1,8,7,4,5,6] => [3,2,1,7,8,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,3,6,4,7,8,2,5] => [1,8,3,6,2,4,7,5] => [1,3,6,7,4,5,8,2] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[8,4,6,5,1,2,7,3] => [5,1,6,7,8,2,3,4] => [8,1,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,4,3,8,7,6] => [1,5,4,2,3,7,8,6] => [1,4,5,3,2,8,7,6] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[8,6,5,7,2,1,4,3] => [2,7,4,1,6,8,5,3] => [4,2,7,3,8,6,1,5] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,6,3,8,4,5,7,2] => [1,7,6,8,4,3,5,2] => [1,7,8,6,2,4,3,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,5,4,2,6,3,8,1] => [8,4,5,7,6,2,3,1] => [4,8,6,5,7,2,1,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,3,2,8,6,5] => [7,3,4,1,6,8,2,5] => [3,7,4,2,8,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[2,3,8,4,7,5,6,1] => [6,2,3,8,7,5,4,1] => [2,3,8,6,7,1,4,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,7,2,8,6,4,5,1] => [5,7,3,6,4,8,2,1] => [5,3,8,7,1,6,2,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,7,4,6,2,5,8,1] => [8,6,3,7,2,4,5,1] => [3,6,8,7,2,4,1,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,7,5,8,2,4,1] => [4,8,6,2,7,3,5,1] => [8,4,6,2,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,7,5,6,1] => [6,8,2,3,7,5,4,1] => [8,6,1,2,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,8,6,1,5,3] => [6,2,5,4,1,8,7,3] => [2,4,5,7,3,6,8,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[2,6,7,3,8,5,1,4] => [5,2,8,3,7,6,1,4] => [2,7,5,1,6,8,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,4,8,5,1,7,3,6] => [5,2,8,4,7,1,3,6] => [2,5,4,8,7,3,6,1] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[8,2,4,6,3,7,5,1] => [5,7,8,3,6,4,1,2] => [8,6,5,1,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,6,3,5,7,1] => [7,8,6,2,3,4,5,1] => [7,6,8,2,3,4,1,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,8,3,5,1,4,6,7] => [5,2,8,1,3,4,6,7] => [2,8,5,3,4,1,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,6,1,7,8,3] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[3,6,5,7,8,1,2,4] => [8,1,3,2,6,5,7,4] => [3,1,6,2,7,4,8,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[4,5,3,8,2,1,7,6] => [2,8,5,4,3,7,1,6] => [4,2,5,7,1,8,6,3] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[2,5,4,8,3,7,1,6] => [7,2,8,5,4,1,3,6] => [2,7,5,8,1,4,6,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,8,3,1,7,4,2,6] => [3,8,4,7,5,1,2,6] => [7,3,4,5,8,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,4,8,6,1,3,2,7] => [6,3,1,5,4,8,2,7] => [3,5,2,8,1,6,4,7] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[5,2,7,1,3,8,6,4] => [7,5,1,6,2,8,3,4] => [5,8,2,7,4,6,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,2,4,7,1,6,8,3] => [7,5,8,2,4,1,6,3] => [7,8,5,2,1,4,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,4,6,2,7,5,3,8] => [1,6,5,4,7,2,3,8] => [1,4,6,7,5,3,2,8] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[8,2,1,4,5,6,7,3] => [2,8,7,1,4,5,6,3] => [7,2,8,3,1,4,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,8,5,3,2,6,4,7] => [1,3,5,8,6,4,2,7] => [1,8,3,5,6,2,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,2,5,8,7] => [4,3,1,6,2,5,8,7] => [3,6,2,4,1,5,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[6,2,3,5,1,8,7,4] => [5,6,2,7,3,1,8,4] => [8,6,1,5,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,3,7,1,8,4] => [7,6,5,8,2,3,1,4] => [6,7,8,5,3,2,4,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,2,8,4,3,6,7,5] => [1,2,4,8,7,3,6,5] => [1,2,7,4,8,5,3,6] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,8,3,2,4,6,7,5] => [1,3,8,2,7,4,6,5] => [1,7,3,2,8,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,2,7,5,3,4,6,8] => [1,2,5,3,7,4,6,8] => [1,2,7,3,5,4,6,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,7,3,2,6,8,4,5] => [1,3,7,8,4,2,6,5] => [1,8,3,7,2,5,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,2,7,1,8,3] => [7,5,6,4,8,3,1,2] => [4,7,6,8,5,1,3,2] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,5,4,1,8,6] => [4,5,3,7,1,8,2,6] => [5,3,8,4,2,7,6,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,4,2,6,3,1,8,5] => [3,6,4,7,8,1,2,5] => [8,3,7,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,6,5,1,8,2] => [5,6,3,4,7,8,1,2] => [4,3,7,8,5,6,2,1] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[4,7,8,2,6,5,3,1] => [3,5,6,4,8,2,7,1] => [6,4,3,7,5,1,8,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[3,6,7,1,5,4,2,8] => [7,4,3,5,1,6,2,8] => [3,4,6,5,2,7,1,8] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,6,4,7,2,8,5,3] => [1,7,5,8,6,3,2,4] => [1,6,8,5,7,3,4,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,3,7,5,2,8,4,6] => [1,5,3,7,8,2,4,6] => [1,3,8,7,5,4,6,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,8,2,7,5,4,6] => [1,8,3,5,7,4,2,6] => [1,3,5,8,7,2,6,4] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,8,4,2,7,6,3,5] => [1,4,8,6,2,7,3,5] => [1,8,4,6,3,7,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,2,6,5,4,3,1] => [3,4,5,6,7,1,8,2] => [8,6,3,4,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,6,5,4,3,7] => [2,8,4,5,6,1,3,7] => [4,2,8,5,6,3,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,4,2,8,1,6,3,5] => [8,4,7,6,2,1,3,5] => [4,8,6,7,2,5,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,2,8,6,1,4,3,7] => [6,5,4,1,2,8,3,7] => [4,5,8,3,2,6,1,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,3,8,2,6,5,4,1] => [4,5,6,8,7,1,2,3] => [8,7,5,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,1,2,8,7,3] => [5,1,6,4,7,3,8,2] => [6,1,4,8,5,2,7,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,2,7,4,8,6,5,1] => [5,3,2,6,8,7,4,1] => [3,8,1,6,5,7,2,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,2,7,5,4,3] => [8,6,4,5,7,1,2,3] => [4,5,8,7,6,3,2,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,2,3,8,6,5,4,1] => [4,5,1,6,8,7,3,2] => [8,6,2,4,5,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,7,6,5,4,2] => [8,4,1,5,6,7,3,2] => [4,8,2,5,6,7,1,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,8,7,3,6,5] => [4,2,7,1,6,3,8,5] => [2,6,4,3,8,5,7,1] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,8,5,1,7,3,6,4] => [5,2,8,7,6,4,3,1] => [2,8,5,6,7,1,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,7,2,6,4,8] => [5,7,3,6,1,2,4,8] => [5,3,7,6,4,2,1,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[3,5,1,6,8,4,2,7] => [5,4,3,8,1,6,2,7] => [3,5,6,4,2,8,1,7] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[6,3,8,7,1,5,4,2] => [7,4,5,6,1,2,8,3] => [4,8,6,5,3,2,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,4,7,1,5,3,2] => [7,3,5,6,1,8,4,2] => [3,8,5,7,4,6,1,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,4,7,2,1,6,3] => [2,7,6,5,8,1,4,3] => [6,2,7,8,5,4,1,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,6,7,1,5,3,2,8] => [7,3,5,4,1,6,2,8] => [3,5,4,6,2,7,1,8] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[5,7,4,8,2,1,6,3] => [2,8,6,7,5,1,4,3] => [5,2,7,6,8,4,1,3] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[3,6,1,7,2,8,5,4] => [6,7,3,5,8,1,2,4] => [6,3,7,8,5,4,2,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[5,7,4,2,6,3,8,1] => [8,4,7,6,5,3,2,1] => [4,7,5,6,8,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,3,4,1,7,5,2,6] => [4,5,7,2,8,3,1,6] => [8,7,4,2,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,1,7,3,2,4] => [6,3,7,2,8,5,1,4] => [7,8,3,1,6,2,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,8,2,6,7,4,1,3] => [4,7,2,8,5,1,6,3] => [7,5,1,4,8,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,8,2,1,7,3,4] => [2,8,7,3,5,6,1,4] => [5,2,6,1,7,8,4,3] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[4,5,2,6,1,3,8,7] => [6,5,1,4,2,3,8,7] => [4,5,2,6,3,1,8,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[8,3,6,5,7,1,2,4] => [7,1,8,2,6,3,5,4] => [7,1,6,3,8,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,2,3,7,1,5,4,6] => [7,8,2,5,1,4,3,6] => [7,5,1,8,4,2,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,8,6,7,3,1,4,5] => [3,2,7,1,4,8,6,5] => [2,8,3,1,4,7,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,6,7,2,5,1,3] => [5,7,1,8,2,4,6,3] => [8,7,2,5,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,7,2,5,8,1] => [8,7,3,4,2,6,5,1] => [3,4,6,7,1,8,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[7,5,8,2,1,3,6,4] => [2,8,1,6,7,3,5,4] => [6,2,1,8,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,7,1,2,4,8,5,3] => [7,1,5,2,8,6,4,3] => [6,1,7,3,5,8,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,6,3,4,7,8,5,2] => [1,5,8,2,6,4,7,3] => [1,7,5,3,6,2,8,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,4,8,1,3,5,6,2] => [8,6,1,7,3,5,4,2] => [6,8,2,7,3,1,4,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,2,7,3,5,6,8,1] => [8,4,7,2,3,5,6,1] => [4,8,7,2,1,3,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,1,3,4,5,6,2] => [8,6,1,3,4,5,7,2] => [6,7,2,1,3,4,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,7,3,2,8,1,5,6] => [8,3,7,4,1,5,2,6] => [3,7,4,8,2,1,6,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,4,5,2,3,8,7] => [6,5,2,1,4,3,8,7] => [5,6,1,3,2,4,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[8,1,2,7,6,3,5,4] => [8,1,6,5,3,7,2,4] => [5,1,6,8,3,7,4,2] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[7,4,3,1,6,2,8,5] => [3,4,7,6,8,1,2,5] => [8,4,3,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,1,6,2,7,5] => [3,4,8,6,7,1,2,5] => [8,4,3,6,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,2,4,8,1,5] => [8,6,3,2,1,7,4,5] => [3,6,8,1,4,7,5,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[4,3,7,2,8,6,1,5] => [6,8,4,3,2,7,1,5] => [6,4,8,1,2,7,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,2,7,4,3,8,5] => [6,1,4,7,8,2,3,5] => [7,1,8,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,2,7,3,8,6,4] => [5,1,7,6,2,8,3,4] => [8,1,5,7,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,2,1,7,4,5] => [2,6,8,7,4,3,1,5] => [8,2,6,7,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,2,1,8,4,5] => [2,6,7,8,4,3,1,5] => [8,2,7,6,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,5,3,6,7,8] => [2,4,5,1,3,6,7,8] => [5,2,4,3,1,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[6,2,1,7,3,8,4,9,5] => [2,6,7,8,9,1,3,4,5] => [9,2,8,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[4,1,5,2,6,3,7,8,9] => [4,5,6,1,2,3,7,8,9] => [6,5,4,3,2,1,7,8,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[3,1,4,2,5,6,7,8,9] => [3,4,1,2,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[5,1,6,2,7,3,8,4,9,10] => [5,6,7,8,1,2,3,4,9,10] => [8,7,6,5,4,3,2,1,9,10] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[4,1,5,2,6,3,7,8,9,10] => [4,5,6,1,2,3,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[3,1,4,2,5,6,7,8,9,10] => [3,4,1,2,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,5,4,1,8,7,3] => [4,5,6,7,3,2,8,1] => [8,6,5,4,1,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,2,1,8,7,4] => [2,3,5,6,7,4,8,1] => [8,2,3,6,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,7,6,3,2] => [1,3,6,7,5,8,2,4] => [1,7,3,5,8,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,2,7,4,8,6,1,5] => [6,3,2,8,4,7,1,5] => [3,8,1,6,2,7,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,8,4,3,2,1,6] => [2,3,4,8,5,1,7,6] => [5,2,3,4,7,1,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[7,2,5,4,8,6,1,3] => [6,8,2,5,1,7,4,3] => [6,5,1,8,4,7,2,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,5,3,2,8,6,1,7] => [6,3,5,4,2,8,1,7] => [3,5,4,8,1,6,2,7] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[3,2,5,4,8,6,1,7] => [6,3,2,5,4,8,1,7] => [3,5,1,8,2,6,4,7] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[3,2,8,6,5,4,1,7] => [4,3,2,5,6,8,1,7] => [3,8,1,4,5,6,2,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,3,6,5,2,1,7] => [2,5,4,6,8,1,3,7] => [6,2,8,4,5,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,4,3,7,5,2,1,6] => [2,5,4,7,8,3,1,6] => [7,2,8,4,5,1,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,2,7,8,5,4,1,6] => [4,3,2,5,8,1,7,6] => [3,7,1,4,5,2,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[2,3,1,8,5,7,4,6] => [3,2,1,7,8,4,5,6] => [2,3,1,8,7,5,6,4] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[3,6,1,4,8,7,2,5] => [6,7,3,1,2,4,8,5] => [6,3,8,2,4,5,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,8,1,3,7,2,6,4] => [8,7,1,6,5,2,3,4] => [5,6,2,7,8,4,3,1] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[4,7,5,1,8,2,6,3] => [5,7,8,4,6,3,2,1] => [6,5,4,8,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,2,3,1,8,7,4,5] => [3,6,2,7,4,1,8,5] => [8,3,1,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,1,8,5,6,2] => [7,6,3,4,8,5,1,2] => [3,4,7,8,6,1,5,2] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[7,2,5,1,8,3,6,4] => [5,7,8,6,2,3,1,4] => [8,6,5,7,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,5,8,4,6,3] => [2,7,6,8,1,4,5,3] => [7,2,8,6,4,3,1,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,5,1,7,3,6,4] => [5,8,7,6,2,3,1,4] => [8,5,6,7,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,5,3,7,4,2] => [6,4,8,5,3,7,2,1] => [5,8,4,6,1,7,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,3,6,4,1,7,5,2] => [4,6,5,7,8,3,2,1] => [8,6,7,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,4,2,8,5,3] => [7,4,6,5,8,1,3,2] => [4,8,6,7,5,3,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,8,1,4,3,7,5,2] => [8,5,4,1,7,6,3,2] => [4,5,7,3,6,8,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[6,7,1,4,3,8,5,2] => [7,5,4,1,8,6,3,2] => [4,6,7,3,5,8,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[6,8,1,2,4,7,5,3] => [8,1,5,2,7,6,4,3] => [5,1,7,3,6,8,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[7,1,6,4,8,3,5,2] => [7,5,8,6,3,1,4,2] => [6,8,5,7,2,4,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,6,3,4,8,5,2] => [7,5,8,2,6,1,4,3] => [6,8,5,2,7,4,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,3,4,1,7,5,2] => [4,5,7,2,6,8,1,3] => [8,5,4,2,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,6,1,7,4,2] => [6,4,7,5,8,2,1,3] => [6,8,4,7,5,2,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,2,1,4,5,8,6,3] => [2,7,6,1,4,8,5,3] => [7,2,8,3,1,6,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,1,4,5,7,3,2] => [6,3,8,2,4,7,5,1] => [6,8,3,1,2,7,4,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,2,5,4,7,3,1] => [3,7,6,5,1,8,4,2] => [7,3,5,8,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,6,3,5,4,7,1] => [7,8,6,5,3,2,4,1] => [6,5,7,8,2,3,1,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[3,6,1,4,5,8,7,2] => [6,7,3,1,4,5,8,2] => [6,3,8,2,1,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,6,1,3,8,7,2,5] => [6,7,1,4,2,3,8,5] => [6,4,2,8,3,5,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,6,8,2,1,7,4,3] => [2,8,4,7,5,6,1,3] => [4,2,6,5,7,8,3,1] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[7,1,3,8,4,2,5,6] => [7,4,1,8,2,5,3,6] => [7,8,2,4,3,1,6,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,4,7,2,8,6,5,3] => [1,7,5,4,6,8,2,3] => [1,4,5,8,7,6,3,2] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,6,7,8,5,2,4,3] => [1,5,4,2,8,6,7,3] => [1,4,6,3,5,7,8,2] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[8,1,2,5,4,7,6,3] => [8,1,6,5,2,7,4,3] => [5,1,6,8,4,7,2,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[7,1,3,4,2,8,6,5] => [7,4,1,3,6,8,2,5] => [4,7,2,1,8,6,5,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[8,7,5,3,1,6,2,4] => [3,5,7,2,6,1,8,4] => [8,5,3,1,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,6,7,2,4,5] => [1,7,8,2,4,3,6,5] => [1,8,7,3,2,5,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,3,7,4,6,5] => [1,2,8,7,6,4,3,5] => [1,2,6,7,8,4,5,3] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,9,2,3,4,5,6,7,8,10] => [1,9,2,3,4,5,6,7,8,10] => [1,9,2,3,4,5,6,7,8,10] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,7,2,3,4,5,6,8,9] => [1,7,2,3,4,5,6,8,9] => [1,7,2,3,4,5,6,8,9] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[8,2,7,4,3,5,6,1] => [6,8,4,7,3,5,2,1] => [7,4,8,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,7,3,5,4,2,6,1] => [6,4,5,7,2,3,8,1] => [5,8,6,4,2,1,7,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[12,10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,12,1,11] => [12,2,3,4,5,6,7,8,9,10,1,11] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,7,1,8,2,5,4,6] => [7,8,3,5,2,4,1,6] => [5,3,7,8,2,1,6,4] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,6,7,1,5,3,8,2] => [7,8,5,4,1,6,3,2] => [5,4,6,7,3,8,1,2] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[4,6,7,2,1,8,5,3] => [2,7,5,4,8,6,1,3] => [4,2,6,7,5,8,3,1] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[4,2,5,6,7,8,3,1] => [3,8,4,1,5,6,7,2] => [5,3,4,2,6,7,8,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[4,1,3,5,6,7,8,2] => [4,8,1,3,5,6,7,2] => [5,4,2,1,6,7,8,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[3,7,8,4,5,1,6,2] => [5,6,3,8,4,1,7,2] => [6,3,7,5,1,4,8,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[4,6,8,3,2,7,1,5] => [7,3,8,4,1,6,2,5] => [4,6,3,7,2,8,5,1] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[4,5,8,3,7,1,2,6] => [7,1,8,4,5,2,3,6] => [5,1,4,7,8,3,6,2] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,6,7,1,5,8,2,3] => [7,8,2,4,1,6,5,3] => [6,4,1,7,3,8,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[3,7,8,4,6,2,5,1] => [5,6,3,8,2,4,7,1] => [6,3,7,5,2,1,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[3,8,6,2,5,1,7,4] => [5,6,3,8,4,7,1,2] => [6,3,8,5,1,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,6,8,5,2,7,1,3] => [7,5,1,4,8,6,2,3] => [4,6,2,7,5,8,3,1] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[3,7,8,5,4,1,6,2] => [4,5,3,8,6,1,7,2] => [5,3,7,4,6,2,8,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[7,8,2,3,5,4,1,6] => [4,5,1,8,3,2,7,6] => [7,5,2,4,1,3,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,8,1,5,7,4,6,3] => [8,2,6,7,1,4,5,3] => [2,6,8,7,4,3,1,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,4,5,2,8,1,7] => [8,5,6,3,4,2,1,7] => [5,8,6,1,2,3,4,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,5,6,8,3,7,1,2] => [7,1,8,4,5,6,3,2] => [5,1,4,6,7,8,2,3] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[4,1,3,5,2,6,7,8] => [4,5,1,3,2,6,7,8] => [5,4,2,1,3,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,5,7,4,6,3,8,2] => [1,8,6,7,5,4,3,2] => [1,5,7,6,8,2,3,4] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[5,1,3,7,6,4,8,2] => [5,8,1,6,3,7,4,2] => [8,5,2,6,3,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,4,8,5,2,3] => [7,5,2,1,8,6,4,3] => [6,7,1,3,5,8,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[3,8,1,6,7,2,5,4] => [8,7,3,5,2,1,6,4] => [3,5,7,8,2,4,1,6] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,6,5,3,7,8,2,4] => [1,8,5,2,6,3,7,4] => [1,5,7,3,6,4,8,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[3,6,5,8,1,7,2,4] => [8,7,3,2,6,5,1,4] => [3,6,7,1,8,2,5,4] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,6,5,3,7,8,4,2] => [1,4,8,5,6,2,7,3] => [1,7,4,5,6,3,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,6,5,8,4,1,7,3] => [4,2,8,7,6,5,3,1] => [2,7,4,6,8,1,3,5] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,3,8,4,6,1,7] => [6,2,5,8,3,4,1,7] => [2,6,8,5,3,1,4,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,7,3,4,6,1,8] => [6,5,7,3,2,4,1,8] => [6,7,5,1,3,2,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[6,1,7,4,8,5,3,2] => [6,3,5,8,7,1,2,4] => [3,8,7,5,6,4,2,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,6,5,8,2] => [3,4,7,8,6,1,5,2] => [7,6,3,4,8,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,6,1,7,5,3,2,4] => [6,3,5,1,8,7,2,4] => [3,8,6,2,5,7,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,8,6,4,1,3,5,2] => [4,6,2,5,3,8,7,1] => [7,4,1,5,2,6,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,1,7,6,3,4,2,8] => [5,4,6,3,1,7,2,8] => [5,7,4,1,3,6,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[6,2,7,3,8,5,4,1] => [4,5,8,6,7,1,2,3] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,5,3,4,8,6] => [1,2,5,3,7,8,4,6] => [1,2,8,3,5,7,6,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[7,2,8,3,6,4,5,1] => [5,7,8,6,4,3,2,1] => [8,6,5,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => [1,5,7,2,4,3,8,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[3,7,8,1,2,5,6,4] => [8,1,3,6,2,5,7,4] => [3,1,6,7,4,2,8,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,2,8,7,3,4,6,5] => [1,2,7,3,6,4,8,5] => [1,2,6,3,8,5,7,4] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[8,2,7,4,5,1,6,3] => [5,8,6,7,4,1,2,3] => [8,5,7,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,7,4,3,5,6] => [8,1,4,7,3,5,2,6] => [4,1,8,7,2,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,7,5,1,4,3,6,2] => [5,7,4,2,6,3,8,1] => [5,4,8,2,6,1,7,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,4,1,3,7,5,6,2] => [4,8,2,6,7,5,3,1] => [8,4,1,6,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,3,1,2,8,6] => [3,1,4,5,7,8,2,6] => [8,1,3,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,7,4,2,3,6] => [1,4,2,7,8,3,5,6] => [1,8,2,4,7,5,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,8,5,3,4,7] => [2,1,5,3,8,6,4,7] => [2,1,6,3,5,8,4,7] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[5,6,8,7,3,1,2,4] => [3,1,7,2,5,6,8,4] => [5,1,3,2,6,8,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[6,3,2,4,7,1,8,5] => [7,3,6,2,8,4,1,5] => [3,8,7,1,6,4,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,8,4,2,3,7] => [1,4,2,8,5,6,3,7] => [1,5,2,4,6,8,3,7] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[8,4,1,2,5,7,6,3] => [4,1,8,6,3,7,5,2] => [8,1,4,6,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,2,5,7,6,3] => [8,1,6,4,2,7,5,3] => [4,1,6,8,3,7,2,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[5,1,8,6,2,4,3,7] => [5,6,4,2,1,8,3,7] => [5,4,8,2,3,6,1,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,5,6,3,7,1,2,4] => [7,1,6,2,8,5,3,4] => [7,1,8,3,6,2,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,5,2,4,8,6,7,3] => [1,5,7,2,4,8,6,3] => [1,8,5,3,2,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,2,6,8,7,3] => [1,4,5,7,3,6,8,2] => [1,6,5,4,2,8,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,7,6,8,3,1,2,4] => [3,1,8,2,5,7,6,4] => [5,1,3,2,7,8,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[6,8,7,5,3,1,2,4] => [3,1,5,2,7,6,8,4] => [6,1,3,2,5,8,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,2,5,3,6,8,7,4] => [1,2,5,7,3,6,8,4] => [1,2,6,5,4,8,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[7,3,6,1,4,8,2,5] => [6,8,7,1,2,3,4,5] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,1,7,5,3,4] => [6,8,5,3,7,2,1,4] => [7,5,8,1,6,3,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,4,2,6,1,7,5] => [6,4,3,8,7,2,1,5] => [3,6,8,4,7,2,5,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,5,6,8,4,2,7,1] => [7,4,3,8,5,6,2,1] => [3,5,6,4,7,8,1,2] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[2,8,6,3,4,1,7,5] => [4,2,6,3,8,7,5,1] => [2,8,4,1,6,7,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,2,8,5,7,1] => [7,6,4,3,8,2,5,1] => [4,7,8,1,6,3,2,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,7,2,3,5,8,6,4] => [1,7,2,6,3,8,5,4] => [1,7,2,8,4,6,3,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,8,3,7,5,1,6,4] => [5,2,7,8,6,3,4,1] => [2,8,6,5,7,3,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,8,6,5,2,7,3] => [4,5,6,1,8,7,2,3] => [8,6,4,3,5,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,4,1,6,7,3] => [4,2,5,8,7,1,6,3] => [2,8,5,4,7,3,1,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,3,8,1,5] => [8,7,6,2,1,4,3,5] => [6,7,8,2,4,3,5,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[2,8,4,3,6,7,1,5] => [7,2,4,8,1,3,6,5] => [2,7,8,4,3,5,1,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,4,7,2,8,3,5,1] => [5,7,8,6,3,4,2,1] => [8,6,5,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,5,6,1,8,4] => [6,3,7,8,2,5,1,4] => [7,8,3,6,2,1,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,6,7,8,2,4,3,5] => [1,8,4,2,3,6,7,5] => [1,4,6,3,2,7,8,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[4,6,1,7,5,2,3,8] => [6,5,2,4,7,1,3,8] => [4,6,1,7,5,3,2,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[2,8,7,1,3,6,5,4] => [7,2,1,5,6,3,8,4] => [2,5,1,8,6,4,7,3] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[5,7,2,8,3,1,6,4] => [3,8,7,6,5,2,1,4] => [6,3,5,7,8,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,8,1,3,4,6,5,2] => [8,5,1,3,6,4,7,2] => [5,7,2,1,6,3,8,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,3,6,5,2,7,4,8] => [1,5,3,6,7,4,2,8] => [1,3,7,6,5,2,4,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,2,6,5,3,4,7,8] => [1,2,5,3,6,4,7,8] => [1,2,6,3,5,4,7,8] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,3,2,8,4,5,7,6] => [1,3,2,8,4,7,5,6] => [1,3,2,7,4,8,6,5] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,6,8,2,4,3,5,7] => [1,8,4,2,3,6,5,7] => [1,4,6,3,2,8,5,7] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,6,7,2,5,3,4,8] => [1,7,5,3,2,6,4,8] => [1,5,6,2,4,7,3,8] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,5,8,2,6,7,3,4] => [1,8,7,3,5,2,6,4] => [1,5,7,2,8,4,3,6] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => [1,7,2,8,3,5,4,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,2,8,3,6,7,4,5] => [1,2,8,7,4,3,6,5] => [1,2,7,8,3,5,4,6] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => [1,5,8,2,4,7,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => [1,5,2,6,4,3,7,8] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[7,2,6,1,3,4,8,5] => [6,7,1,3,8,2,4,5] => [8,7,2,1,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,7,2,5,8,6] => [4,7,1,3,2,8,5,6] => [8,4,2,1,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,1,2,4,8,5] => [6,1,3,2,7,8,5,4] => [3,1,8,2,7,6,4,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,1,5,3,4,8,2,7] => [6,8,5,3,1,4,2,7] => [6,5,8,1,4,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,3,8,4,7,1,2,5] => [7,1,6,8,2,3,4,5] => [7,1,8,6,4,5,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,2,5,4,8,3,6,7] => [1,2,8,5,4,3,6,7] => [1,2,5,8,3,4,6,7] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,6,4,7,8,2,3,5] => [1,8,2,6,3,4,7,5] => [1,6,2,7,4,5,8,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[8,2,6,7,5,1,3,4] => [5,7,2,3,8,1,6,4] => [8,7,1,2,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,4,7,1,3,6] => [7,2,1,8,5,3,4,6] => [2,7,1,5,8,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,1,8,5,7,2,3,6] => [4,7,2,1,8,3,5,6] => [8,4,1,3,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,1,3,8,2,7] => [4,5,1,6,8,3,2,7] => [8,6,2,4,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,7,4,2,6,5] => [1,4,3,7,6,2,8,5] => [1,3,6,4,8,5,7,2] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[3,8,4,5,1,6,7,2] => [5,7,3,8,4,1,6,2] => [7,3,8,5,1,4,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,4,1,3,6,7,2] => [4,5,1,8,7,3,6,2] => [8,5,2,4,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,6,5,3,1,2] => [3,1,5,6,7,8,4,2] => [8,1,3,7,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,7,6,3,2] => [8,3,6,1,4,7,5,2] => [3,8,6,2,1,7,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,8,5,7,6,3] => [4,2,6,1,7,8,3,5] => [2,8,4,3,7,6,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,7,3,1,6,5,4] => [3,7,8,5,6,2,1,4] => [6,5,3,8,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,8,4,2,3,7,6,5] => [1,4,2,8,6,7,3,5] => [1,6,2,4,8,7,5,3] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,1,2,8,7,4,6,5] => [3,1,2,7,6,4,8,5] => [3,1,2,6,8,5,7,4] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[8,5,1,2,4,3,7,6] => [5,1,4,2,8,7,3,6] => [4,1,7,3,5,8,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[2,8,3,7,4,1,6,5] => [4,2,7,8,6,3,1,5] => [2,7,6,4,8,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[8,4,5,7,6,2,3,1] => [3,6,2,7,1,8,5,4] => [8,3,1,7,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,8,7,6,4,5] => [3,2,1,6,4,7,8,5] => [2,3,1,8,4,6,7,5] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,4,8,7,2,5,6] => [1,7,3,4,2,5,8,6] => [1,3,4,8,2,5,7,6] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[8,1,3,4,6,7,2,5] => [8,7,1,3,2,4,6,5] => [7,8,2,1,4,5,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,4,2,1,7,5,6,3] => [2,4,8,6,7,5,3,1] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,5,6,4,1,3] => [4,6,2,8,7,5,1,3] => [8,6,1,4,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,7,5,6,4] => [3,8,1,6,7,5,2,4] => [6,3,2,8,7,1,5,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,8,4,7,3,6,5,1] => [5,2,6,7,8,4,1,3] => [2,8,7,6,5,1,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,4,7,6,5,2,3] => [1,5,2,6,7,8,4,3] => [1,8,2,7,5,6,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,2,8,6,4,5] => [7,1,3,6,4,8,2,5] => [3,1,7,8,2,6,5,4] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[3,8,1,2,5,6,4,7] => [8,1,3,6,2,5,4,7] => [3,1,6,8,4,2,5,7] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[8,5,2,1,4,6,7,3] => [2,5,8,3,7,4,6,1] => [8,2,5,1,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,3,8,5,7,1] => [7,4,6,2,8,3,5,1] => [4,8,7,2,6,3,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,6,7,1,8,3] => [7,5,8,4,2,6,1,3] => [5,6,4,7,2,8,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[5,8,2,6,4,1,7,3] => [4,6,8,7,5,3,2,1] => [7,6,4,5,8,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,2,8,3,5,6,7,1] => [7,4,8,2,3,5,6,1] => [7,8,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,7,4,3,8,6,1,5] => [6,2,4,8,3,7,1,5] => [2,6,8,4,1,7,5,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,5,3,4,2,1,7,6] => [2,4,5,3,8,7,1,6] => [7,2,4,1,5,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,4,3,5,2,1,8,6] => [2,5,4,7,3,8,1,6] => [5,2,8,4,1,7,6,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,8,6,4,7,3,1,5] => [3,2,7,6,1,8,4,5] => [2,7,3,8,4,6,5,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,1,8,6,5,2,7,4] => [3,5,1,6,8,7,2,4] => [8,3,2,6,5,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,2,6,7,4] => [3,8,5,7,2,1,6,4] => [8,3,5,7,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,6,7,5,1,2] => [5,1,7,2,8,4,6,3] => [8,1,7,3,5,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,1,3,4,7,2] => [6,8,2,3,5,7,4,1] => [6,5,1,2,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,8,1,5,7,6,3,2] => [8,3,6,4,1,7,5,2] => [3,6,4,8,2,7,1,5] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[4,7,1,6,8,3,2,5] => [7,3,8,4,2,1,6,5] => [4,7,3,8,1,5,2,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[3,7,5,2,8,6,1,4] => [6,5,3,2,8,7,1,4] => [3,6,8,1,5,7,4,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[4,8,5,2,6,7,1,3] => [7,5,1,4,8,2,6,3] => [4,7,2,8,5,3,1,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[5,4,8,6,1,2,7,3] => [6,1,8,5,4,7,3,2] => [6,1,5,8,2,7,3,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,1,6,4,7,5,2,3] => [8,5,2,7,6,1,3,4] => [5,8,1,6,7,4,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,2,3,5,1,7,4] => [5,6,2,8,4,7,1,3] => [8,6,1,5,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,7,4,1,3,6] => [4,7,2,8,1,3,5,6] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,5,6,8,1,3] => [8,7,1,2,4,5,6,3] => [7,8,2,3,1,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,3,5,6,2,8,4] => [7,6,1,8,3,5,2,4] => [7,8,2,6,3,1,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,3,8,4,7,1,5,2] => [7,5,6,8,1,3,4,2] => [6,8,7,5,4,2,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,4,3,2,8,5,6] => [7,3,4,1,8,5,2,6] => [3,8,4,2,7,1,6,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,1,4,2,8,7] => [6,4,5,1,3,2,8,7] => [4,6,5,3,1,2,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[5,7,2,1,4,3,8,6] => [2,7,4,1,5,8,3,6] => [4,2,5,3,8,7,6,1] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[7,1,8,4,2,5,6,3] => [7,4,8,6,3,5,1,2] => [6,8,4,7,1,2,5,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,1,7,5,8,3,6,4] => [2,1,8,6,7,3,5,4] => [2,1,6,8,7,5,3,4] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[7,3,8,5,6,2,1,4] => [2,6,7,1,8,5,3,4] => [8,2,7,3,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,3,1,5,6,2] => [3,8,6,7,2,5,4,1] => [8,3,6,7,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,8,3,7,4,2] => [6,4,7,8,1,5,2,3] => [7,8,6,4,3,1,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,6,5,3,7,2,1,4] => [2,7,5,1,6,8,3,4] => [5,2,8,3,7,6,4,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,4,8,6,5,3,2,1] => [2,3,5,6,8,7,4,1] => [8,2,3,6,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,1,3,5,6,2] => [4,8,2,6,3,5,7,1] => [7,4,1,6,2,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,3,4,1,5,6,2] => [4,6,8,3,1,5,7,2] => [7,6,4,1,3,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,7,4,8,6,3,1,5] => [3,2,6,8,4,7,1,5] => [2,8,3,6,1,7,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,5,8,3,4,2] => [7,4,8,3,1,6,5,2] => [6,7,4,1,3,8,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[7,3,6,2,8,1,4,5] => [8,6,7,1,4,3,2,5] => [6,8,7,3,1,4,5,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,6,7,3,8,4,5,2] => [1,5,7,8,4,6,3,2] => [1,7,6,5,2,8,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,6,2,8,4,1,5] => [4,8,6,7,2,1,3,5] => [8,4,7,6,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,8,6,4,2,3] => [5,4,1,7,6,8,2,3] => [5,8,2,4,7,6,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,4,8,6,1,7,5,2] => [6,5,3,4,8,7,2,1] => [3,4,6,8,5,7,1,2] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[4,3,5,8,7,1,2,6] => [7,1,4,3,5,2,8,6] => [4,1,5,2,8,3,7,6] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[7,5,4,8,1,2,6,3] => [8,1,6,5,7,2,4,3] => [5,1,7,8,6,4,2,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[6,1,5,8,7,2,3,4] => [6,7,2,3,1,5,8,4] => [8,6,1,2,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,1,8,4,2,5] => [6,4,8,7,3,2,1,5] => [7,8,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,4,8,1,7,6,5,2] => [8,5,3,4,6,7,1,2] => [3,4,5,8,6,7,2,1] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[4,3,5,8,2,1,6,7] => [2,8,4,3,5,1,6,7] => [4,2,5,1,8,3,6,7] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[7,2,8,5,4,6,3,1] => [3,6,7,5,8,4,1,2] => [7,6,3,8,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,1,8,4,7,2,3,5] => [6,7,2,8,3,1,4,5] => [8,7,1,6,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,5,4,3,8,2] => [6,8,4,5,7,1,3,2] => [5,4,8,7,6,3,1,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,6,4,3,7,1,8,2] => [7,8,4,6,5,3,1,2] => [5,4,7,6,8,1,3,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,5,3,8,1,7,4,2] => [8,4,7,5,6,2,1,3] => [4,8,5,6,7,2,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,3,8,1,7,2] => [8,7,4,6,5,3,1,2] => [4,5,7,6,8,1,3,2] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[6,3,2,8,5,4,7,1] => [7,3,6,5,8,2,4,1] => [3,7,6,8,5,2,1,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,6,2,8,4,3,7,1] => [7,6,4,8,5,2,3,1] => [5,6,7,4,8,2,1,3] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[6,1,8,3,2,5,7,4] => [6,3,8,7,2,1,5,4] => [6,8,3,7,2,5,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,1,3,6,2,8,7,4] => [5,6,1,7,3,2,8,4] => [8,6,2,5,3,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,2,5,8,3,4] => [7,6,8,3,2,1,5,4] => [7,8,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,1,7,4,8,2,5,3] => [6,8,5,7,2,1,4,3] => [7,5,8,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,4,3,6,7,2,8] => [5,7,4,1,3,6,2,8] => [5,4,6,3,1,7,2,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[4,6,2,7,8,3,5,1] => [5,6,8,4,3,2,7,1] => [6,5,4,7,1,2,8,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[4,6,3,5,2,8,7,1] => [7,5,6,4,3,2,8,1] => [4,6,5,8,1,2,7,3] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[5,6,3,4,8,2,7,1] => [7,8,6,3,5,4,2,1] => [6,5,7,1,8,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[5,2,6,4,1,7,8,3] => [4,6,5,8,3,2,7,1] => [7,5,6,4,1,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,7,5,2,4,8,1,6] => [8,5,3,2,7,1,4,6] => [3,5,8,1,7,4,6,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[6,4,7,3,2,5,8,1] => [8,3,7,6,2,4,5,1] => [3,7,6,8,2,4,1,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,7,3,2,8,4,6,1] => [6,3,7,8,5,4,2,1] => [6,7,3,5,8,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,3,7,2,8,4,6,1] => [6,7,5,8,3,4,2,1] => [7,6,8,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,3,7,2,5,8,6,1] => [6,8,4,3,1,7,5,2] => [6,4,8,1,3,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,8,3,5,1,7,6,2] => [5,6,7,4,2,8,1,3] => [7,5,4,8,2,6,3,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,5,3,2,6,4,8,1] => [8,3,5,7,6,4,2,1] => [3,8,5,6,7,1,2,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,2,6,3,7,5,1] => [5,4,7,8,6,2,1,3] => [6,8,5,4,7,2,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,4,6,2,3,8,5,1] => [5,8,1,6,7,3,4,2] => [8,5,2,7,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,2,8,3,4,1] => [4,6,8,3,7,5,2,1] => [8,6,4,1,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,2,8,3,4,1] => [4,6,7,2,5,8,3,1] => [7,5,4,2,8,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,5,4,7,6,2,3,1] => [3,6,2,5,7,8,1,4] => [7,3,1,8,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,2,3,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,2,7,3,8,4,9,5,10] => [1,6,7,8,9,2,3,4,5,10] => [1,9,8,7,6,5,4,3,2,10] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[2,4,6,3,8,7,5,1] => [5,2,7,4,6,1,8,3] => [2,5,4,8,6,3,7,1] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,4,6,3,8,7,1,5] => [7,2,6,4,1,3,8,5] => [2,4,6,8,3,5,7,1] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[2,4,6,8,3,7,1,5] => [7,2,8,4,1,6,3,5] => [2,6,4,7,3,8,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[2,4,6,5,1,8,7,3] => [5,2,6,4,7,3,8,1] => [2,6,4,8,5,1,7,3] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,4,6,5,8,1,7,3] => [8,2,7,4,6,5,1,3] => [2,4,6,7,8,1,5,3] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[2,4,6,8,5,1,3,7] => [5,2,1,4,8,6,3,7] => [2,4,1,6,5,8,3,7] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[2,4,6,5,8,3,1,7] => [3,2,8,4,6,5,1,7] => [2,4,3,6,8,1,5,7] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[2,4,6,8,5,3,1,7] => [3,2,5,4,8,6,1,7] => [2,4,3,6,5,8,1,7] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[2,4,6,8,7,3,1,5] => [3,2,7,4,1,6,8,5] => [2,4,3,6,1,8,7,5] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[4,6,1,7,8,5,3,2] => [6,3,5,4,8,1,7,2] => [3,6,4,7,5,2,8,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[6,1,2,7,8,4,5,3] => [6,1,5,8,4,2,7,3] => [6,1,7,5,2,4,8,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[5,6,3,1,7,4,8,2] => [3,6,8,7,5,2,4,1] => [7,5,3,6,8,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,8,3,7,1,6,5,2] => [7,5,6,4,8,1,2,3] => [4,7,6,8,5,3,2,1] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[8,7,2,6,5,1,4,3] => [5,6,4,2,7,1,8,3] => [6,4,8,2,5,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,3,8,7,1,4,2] => [7,4,5,1,6,3,8,2] => [4,8,5,3,6,1,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,8,2,7,6,5,3,1] => [3,5,6,4,7,8,1,2] => [7,4,3,8,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,8,2,6,5,4,1,3] => [4,5,1,6,8,2,7,3] => [7,6,2,4,5,3,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,8,7,6,2,5,1,4] => [5,6,3,1,2,7,8,4] => [5,3,8,2,4,6,7,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,8,3,7,2,1,6,5] => [2,7,8,4,6,1,3,5] => [6,2,4,7,8,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,8,3,7,6,2,5,1] => [5,6,7,4,3,8,2,1] => [7,5,4,8,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,2,7,6,4,1,3] => [4,6,1,7,5,8,2,3] => [7,5,2,4,8,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,6,4,2,5,3,7,8] => [1,4,6,5,3,2,7,8] => [1,6,4,5,2,3,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,6,3,2,4,5,7,8] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,5,2,6,4,3,7,8] => [1,5,4,6,2,3,7,8] => [1,5,6,4,3,2,7,8] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,8,6,2,3,7,4,5] => [1,6,2,8,3,7,4,5] => [1,8,2,6,4,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,8,6,3,4,7] => [1,5,6,3,2,8,4,7] => [1,8,5,2,4,6,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,8,2,5,6,7] => [1,8,4,3,2,5,6,7] => [1,4,8,2,3,5,6,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,7,2,3,8,5,4,6] => [1,7,2,5,8,4,3,6] => [1,7,2,8,5,3,6,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,3,8,4,2,5,6,7] => [1,4,3,8,2,5,6,7] => [1,3,8,4,2,5,6,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,8,2,7,4,6] => [1,8,5,7,3,4,2,6] => [1,5,8,7,3,2,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,4,8,2,5,6,3,7] => [1,8,6,4,2,5,3,7] => [1,4,6,8,3,2,5,7] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,5,7,3,2,8,4,6] => [1,3,7,8,5,4,2,6] => [1,7,3,5,8,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,2,7,3,6,8,4,5] => [1,2,7,8,4,3,6,5] => [1,2,8,7,3,5,4,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,8,3,2,5,6,7] => [1,3,8,4,2,5,6,7] => [1,4,3,8,2,5,6,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[8,2,3,4,5,6,7,9,1] => [9,8,2,3,4,5,6,7,1] => [8,9,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[9,2,3,4,5,6,7,8,10,1] => [10,9,2,3,4,5,6,7,8,1] => [9,10,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[6,2,3,5,8,1,7,4] => [8,6,2,7,3,5,1,4] => [6,8,1,7,3,2,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,6,4,5,7,3,1,8] => [3,2,7,6,4,5,1,8] => [2,6,3,7,1,4,5,8] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,3,7,5,6,8,4,2] => [1,4,3,8,7,5,6,2] => [1,3,7,4,8,2,5,6] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,5,6,3,4,7,2,8] => [1,7,6,3,5,4,2,8] => [1,5,6,2,7,3,4,8] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,7,5,6,3,8,4,2] => [1,4,8,6,7,5,2,3] => [1,8,4,6,7,2,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,5,2,8,6,4] => [1,5,3,7,6,8,4,2] => [1,3,8,5,7,6,2,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,7,2,5,8,6,4] => [1,7,3,6,2,8,5,4] => [1,3,7,8,4,6,2,5] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,5,3,7,4,6,2,8] => [1,6,5,7,3,4,2,8] => [1,6,7,5,3,2,4,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,5,7,3,6,4,8,2] => [1,8,7,6,5,3,4,2] => [1,5,6,7,8,3,2,4] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,3,7,5,6,2,8,4] => [1,6,3,8,7,5,2,4] => [1,3,8,6,7,2,5,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,6,8,3,1,7,2,5] => [3,8,7,4,1,6,2,5] => [6,3,4,7,2,8,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,3,1,5,8,7,2,4] => [3,6,7,1,2,5,8,4] => [8,6,3,2,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,5,8,2,1,7] => [2,8,6,4,3,5,1,7] => [4,2,6,8,1,3,5,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[7,2,4,8,6,3,1,5] => [3,6,8,2,1,7,4,5] => [8,6,3,1,4,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,3,1,7,6,4] => [3,5,8,6,1,7,2,4] => [8,5,3,6,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,4,3,1,8,7] => [3,4,6,5,2,1,8,7] => [6,4,3,5,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,7,3,5,2,1,8,6] => [2,5,7,4,3,8,1,6] => [5,2,4,8,1,7,6,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,4,5,2,1,7,6,3] => [2,5,6,7,3,8,1,4] => [8,2,7,5,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,2,1,8,6,3] => [2,5,7,4,6,8,3,1] => [5,2,4,8,7,6,1,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,5,1,8,3,2,7,6] => [5,3,8,4,1,7,2,6] => [4,5,3,7,2,8,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[5,7,4,6,3,2,1,8] => [2,3,6,7,5,4,1,8] => [6,2,3,5,7,1,4,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[3,6,1,2,4,8,7,5] => [6,1,3,2,7,4,8,5] => [3,1,8,2,6,5,7,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[8,6,2,3,1,7,5,4] => [3,6,2,5,8,7,4,1] => [6,3,1,8,5,7,2,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,7,2,3,1,8,6,4] => [3,7,2,6,5,8,1,4] => [5,3,1,7,8,6,4,2] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[2,6,3,4,1,8,7,5] => [4,2,6,3,7,1,8,5] => [2,8,4,1,6,5,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,1,8,6,4] => [3,5,2,7,6,8,4,1] => [8,3,1,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,2,4,8,7,5] => [3,1,6,2,7,4,8,5] => [8,1,3,2,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,1,7,6,5] => [4,8,2,3,6,7,1,5] => [6,4,1,2,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,6,8,4,5,1,2,7] => [5,1,3,8,4,6,2,7] => [3,1,6,5,2,8,4,7] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[6,2,7,3,5,4,1,8] => [4,5,6,7,1,3,2,8] => [7,6,5,4,3,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,2,6,5,4,1,3,7] => [4,5,1,6,8,2,3,7] => [8,6,2,4,5,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,7,8,5,6,4] => [3,2,1,6,8,5,7,4] => [2,3,1,7,6,4,8,5] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[7,2,8,5,1,4,3,6] => [5,8,4,2,7,3,1,6] => [5,4,8,2,7,1,6,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,7,8,5,1,4,2,6] => [5,4,3,1,8,2,7,6] => [3,4,7,2,5,1,8,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[4,8,6,2,3,1,5,7] => [3,6,2,4,1,8,5,7] => [4,3,1,8,2,6,5,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,5,3,8,2,1,6,7] => [2,8,5,4,3,1,6,7] => [4,2,5,8,1,3,6,7] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[3,7,2,1,8,4,6,5] => [2,7,3,8,6,4,1,5] => [3,2,7,6,8,4,5,1] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[3,5,7,8,2,4,6,1] => [6,8,3,2,5,4,7,1] => [5,3,6,1,7,2,8,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[7,8,2,5,4,3,6,1] => [6,8,4,5,2,3,7,1] => [5,4,7,6,2,1,8,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[4,5,3,7,8,2,6,1] => [6,8,5,4,3,2,7,1] => [5,4,6,7,1,2,8,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,5,4,7,3,6,2,8] => [1,6,7,5,4,3,2,8] => [1,6,5,7,2,3,4,8] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,7,3,6,8,4,5,2] => [1,5,7,8,4,3,6,2] => [1,8,7,5,2,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,8,2,7,3,5,1] => [5,8,7,4,3,6,2,1] => [6,4,5,7,1,8,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[7,8,3,6,1,5,4,2] => [6,4,5,8,1,2,7,3] => [5,7,6,4,3,2,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[2,5,7,8,4,6,1,3] => [6,2,1,8,5,4,7,3] => [2,6,1,5,7,3,8,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[3,7,5,6,2,1,4,8] => [2,6,3,1,7,5,4,8] => [3,2,7,1,6,4,5,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[7,5,6,3,8,4,2,1] => [2,4,8,6,7,5,1,3] => [8,2,4,6,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,2,1,6,7,3] => [2,4,5,8,7,1,6,3] => [8,2,5,4,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,4,7,5,1,3] => [5,2,1,7,8,6,3,4] => [2,7,1,6,5,8,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,7,5,1,4,8,3,2] => [5,3,7,2,8,6,4,1] => [6,7,3,1,5,8,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,4,1,8,2,7,5,3] => [4,6,8,5,7,2,3,1] => [8,5,4,7,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,3,8,2,5,1] => [5,8,4,7,2,6,3,1] => [6,4,7,5,2,8,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[3,7,8,6,5,2,4,1] => [4,5,3,2,6,8,7,1] => [4,3,7,1,5,6,8,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[4,6,2,5,3,1,7,8] => [3,5,6,4,1,2,7,8] => [5,4,3,6,2,1,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[4,1,5,6,3,2,7,8] => [4,3,6,1,5,2,7,8] => [4,5,3,2,6,1,7,8] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[7,6,5,3,1,8,4,2] => [3,5,4,6,7,8,2,1] => [8,3,7,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,4,3,1,5,2] => [3,4,6,5,1,8,7,2] => [7,4,3,5,2,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,1,7,8,6,5,3,2] => [4,3,5,1,6,8,7,2] => [4,7,3,2,5,6,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[4,7,1,5,8,2,6,3] => [7,8,6,4,1,2,5,3] => [6,4,7,8,3,5,1,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[2,7,5,8,3,6,4,1] => [4,2,6,8,7,1,5,3] => [2,8,6,4,7,5,1,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,8,2,6,5,3,1] => [3,5,6,8,7,4,2,1] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,8,2,6,3,1] => [3,6,8,5,7,1,4,2] => [7,5,3,8,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,3,8,1,6,5,2,7] => [8,5,4,3,6,1,2,7] => [4,5,8,1,6,3,2,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,3,4,1,2,6,7,5] => [4,1,8,3,7,2,6,5] => [7,1,4,2,8,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,3,8,4,1,5,6,2] => [4,8,6,7,2,5,1,3] => [8,4,7,6,2,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,5,1,8,3,6] => [5,7,8,2,4,3,1,6] => [8,7,5,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,5,1,4,2,6] => [5,4,3,1,7,2,8,6] => [3,4,8,2,5,1,7,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,5,2,3,8,6,7,1] => [7,5,2,4,3,8,6,1] => [4,5,1,8,2,7,3,6] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[3,7,6,1,4,2,8,5] => [6,4,3,1,7,8,5,2] => [3,4,8,2,7,6,1,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,3,5,6,1,7,8,2] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[3,1,5,6,4,7,8,2] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[3,1,4,6,7,5,8,2] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[6,4,1,3,5,8,2,7] => [4,6,2,8,3,5,1,7] => [8,6,1,4,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,4,5,8,2,6] => [3,7,8,2,4,1,5,6] => [8,7,3,1,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,5,8,1,3,6] => [8,2,1,4,7,3,5,6] => [2,4,1,7,8,5,6,3] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[6,1,8,7,3,4,5,2] => [6,5,7,3,4,1,8,2] => [6,8,5,1,2,4,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,1,6,4,8,7,5,2] => [3,5,1,7,6,2,8,4] => [8,3,2,5,6,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,1,2,6,8,4] => [3,1,7,8,5,2,6,4] => [7,1,3,5,8,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,7,6,2,1,5,8,4] => [2,6,3,7,4,8,5,1] => [3,2,8,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,2,6,1,3,7,8,5] => [6,4,1,2,8,3,7,5] => [4,7,2,3,6,5,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[8,2,3,6,1,5,7,4] => [6,8,2,7,1,3,5,4] => [8,6,1,7,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,1,6,8,7,4] => [3,2,5,7,1,6,8,4] => [2,6,3,5,4,8,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[8,4,6,1,2,5,7,3] => [6,1,7,8,2,4,5,3] => [8,1,7,6,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,4,2,6,5,1] => [5,4,3,6,8,1,7,2] => [3,6,7,4,5,2,8,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[8,5,1,4,2,6,7,3] => [5,4,8,3,7,2,6,1] => [5,8,4,1,7,2,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,5,1,8,6,7,2,4] => [5,7,3,2,1,8,6,4] => [5,3,8,1,4,7,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,6,2,8,7,1,3,4] => [7,6,1,3,5,2,8,4] => [5,6,2,1,8,4,7,3] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[7,2,4,8,5,6,1,3] => [6,7,1,2,8,5,4,3] => [8,7,2,3,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,8,3,5,1,4] => [5,2,8,1,3,6,7,4] => [2,6,5,3,4,7,8,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[3,6,7,2,8,1,5,4] => [8,7,3,5,1,6,2,4] => [3,5,6,7,4,8,2,1] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[2,6,7,1,3,5,8,4] => [7,2,1,8,3,6,5,4] => [2,7,1,6,4,8,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,6,7,1,2,8,5,4] => [7,1,3,5,8,6,2,4] => [3,1,6,7,5,8,4,2] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[3,6,7,1,8,2,5,4] => [7,8,3,5,2,6,1,4] => [5,3,6,7,2,8,4,1] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[3,1,5,7,2,8,6,4] => [3,7,1,6,5,8,2,4] => [5,3,2,7,8,6,4,1] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[3,1,5,7,8,2,6,4] => [3,8,1,6,5,2,7,4] => [5,3,2,6,7,4,8,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[3,8,1,4,7,2,6,5] => [8,7,3,1,6,2,4,5] => [3,6,7,2,8,5,4,1] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[4,1,8,3,2,7,6,5] => [4,3,8,1,6,7,2,5] => [4,6,3,2,8,7,5,1] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[4,1,3,8,2,7,6,5] => [4,8,1,3,6,7,2,5] => [6,4,2,1,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,3,1,8,2,7,6,5] => [3,4,8,2,6,7,1,5] => [6,4,3,1,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,3,8,1,2,7,6,5] => [8,1,4,3,6,7,2,5] => [4,1,6,2,8,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[4,3,8,2,1,7,6,5] => [2,8,4,3,6,7,1,5] => [4,2,6,1,8,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[2,3,8,4,7,6,1,5] => [6,2,3,7,4,8,1,5] => [2,3,8,7,1,6,5,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,2,5,7,1,8,6,4] => [7,3,2,6,5,8,1,4] => [3,5,1,7,8,6,4,2] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[4,8,2,3,1,7,6,5] => [3,8,2,4,6,7,1,5] => [4,3,1,6,8,7,5,2] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[4,8,2,1,3,7,6,5] => [2,8,1,4,6,7,3,5] => [4,2,1,6,8,7,5,3] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[3,1,2,4,7,8,6,5] => [3,1,2,4,6,8,7,5] => [3,1,2,4,7,6,8,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[3,5,4,7,2,8,1,6] => [8,7,3,5,4,1,2,6] => [3,5,7,8,1,4,6,2] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[2,3,4,6,8,7,1,5] => [7,2,3,4,1,6,8,5] => [2,3,4,6,1,8,7,5] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[2,5,7,8,6,1,3,4] => [6,2,1,3,5,8,7,4] => [2,5,1,3,7,6,8,4] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[2,4,7,6,8,1,3,5] => [8,2,1,4,3,7,6,5] => [2,4,1,7,3,8,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[5,6,4,7,1,2,8,3] => [7,1,8,6,5,4,2,3] => [6,1,5,7,8,2,4,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,6,7,5,8,2,3,1] => [3,8,2,4,7,6,5,1] => [4,3,1,6,7,8,2,5] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[3,5,1,7,6,8,4,2] => [5,4,3,8,1,7,6,2] => [3,5,7,4,2,8,1,6] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[3,2,7,6,8,1,4,5] => [8,3,2,1,4,7,6,5] => [3,7,1,2,4,8,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[6,1,3,5,7,8,4,2] => [6,4,1,8,3,5,7,2] => [6,7,2,4,1,3,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,5,1,7,6,8,2,3] => [5,8,2,4,1,7,6,3] => [5,4,1,7,3,8,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[6,2,5,7,1,3,8,4] => [7,6,1,8,2,5,3,4] => [7,8,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,1,5,2,8,4,3] => [6,5,4,7,3,8,2,1] => [5,7,8,4,1,6,2,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,2,8,3,1,6,5,4] => [3,8,7,5,6,2,1,4] => [6,3,5,8,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,1,7,6,2,8,4,5] => [3,6,1,7,2,8,4,5] => [8,3,2,7,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,1,2,8,4,5] => [3,1,6,7,2,8,4,5] => [8,1,3,7,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,8,4,1,3,5] => [4,8,2,6,3,1,7,5] => [7,4,1,6,2,5,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,2,4,1,6,8,3,5] => [4,7,8,2,3,1,6,5] => [8,7,4,2,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,6,7,2,5] => [4,7,8,1,2,3,6,5] => [8,7,4,3,2,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,2,4,1,3,6] => [4,5,1,2,8,3,7,6] => [7,4,2,3,5,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,6,3,7,8,4,1,5] => [4,2,8,6,3,1,7,5] => [2,7,4,6,1,5,8,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,7,8,5,3,4,1,6] => [4,2,5,3,8,1,7,6] => [2,7,4,1,5,3,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,8,5,2,3,1,7,6] => [3,5,2,4,8,7,1,6] => [4,3,1,7,5,8,6,2] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[4,2,5,1,3,7,8,6] => [5,4,1,2,3,8,7,6] => [4,5,2,3,1,7,8,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[4,3,5,1,2,7,8,6] => [5,1,4,3,2,8,7,6] => [4,1,5,2,3,7,8,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[3,5,1,4,2,7,8,6] => [5,4,3,1,2,8,7,6] => [3,4,5,2,1,7,8,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[3,4,1,7,8,5,2,6] => [4,5,3,1,8,2,7,6] => [4,3,7,2,5,1,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[4,3,1,8,5,2,7,6] => [3,4,5,2,8,7,1,6] => [7,4,3,1,5,8,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,4,7,5,3,6,2,1] => [2,6,5,7,8,4,3,1] => [7,2,8,6,5,1,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,3,1,4,2,7,6] => [3,5,4,2,8,7,1,6] => [7,3,4,1,5,8,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,6,3,5,8,4,2,1] => [2,4,8,6,1,7,5,3] => [8,2,4,6,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,3,2,7,8,6] => [5,3,1,4,2,8,7,6] => [3,4,2,5,1,7,8,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[4,5,8,1,2,6,7,3] => [8,1,7,4,5,2,6,3] => [4,1,5,7,8,3,2,6] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,2,4,8,7,3,5,6] => [1,2,7,4,3,5,8,6] => [1,2,4,8,3,5,7,6] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[5,2,7,8,3,1,4,6] => [3,8,5,2,1,4,7,6] => [7,3,5,1,4,2,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,2,4,1,3,8,5,6] => [4,7,1,2,8,5,3,6] => [8,4,2,3,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,3,8,1,4,5] => [8,2,7,1,4,6,3,5] => [2,6,7,3,1,8,5,4] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[2,8,6,3,1,7,4,5] => [3,2,6,8,1,7,4,5] => [2,8,3,6,4,7,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,1,2,6,8,3] => [5,1,7,4,8,3,6,2] => [7,1,4,8,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,6,1,4,2,8,7,3] => [6,4,7,1,5,2,8,3] => [5,6,4,3,8,2,7,1] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[4,6,8,2,3,7,5,1] => [5,7,1,4,8,6,3,2] => [6,4,2,7,5,8,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,5,7,2,3,6,1,8] => [6,7,2,4,5,3,1,8] => [5,4,1,6,7,2,3,8] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[6,8,2,3,1,4,7,5] => [3,8,2,1,7,6,4,5] => [6,3,1,2,7,8,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,7,2,3,4,8,1,5] => [8,7,2,3,1,6,4,5] => [6,7,1,2,4,8,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[7,4,2,1,3,5,8,6] => [2,4,1,7,3,8,5,6] => [8,2,1,4,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => [2,3,1,5,4,6,7,8,9] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[2,7,5,8,4,1,6,3] => [4,2,8,6,7,3,5,1] => [2,8,4,6,7,3,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,8,5,6,1,7,3] => [6,2,7,4,8,5,1,3] => [2,7,4,8,6,1,5,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,8,4,5,1,6,3] => [5,7,6,8,4,1,2,3] => [8,6,7,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,8,4,1,7,3] => [4,8,6,7,3,5,2,1] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,5,2,6,7,4] => [3,5,1,8,7,4,6,2] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,5,3,6,7,4] => [1,2,5,8,7,4,6,3] => [1,2,8,5,7,3,4,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[7,1,3,5,2,6,8,4] => [7,5,1,8,3,2,6,4] => [7,8,2,5,3,4,1,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,4,8,2,1,6,7,3] => [2,8,7,5,4,1,6,3] => [5,2,7,8,1,4,3,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[6,8,3,2,1,5,7,4] => [2,3,8,7,1,6,5,4] => [6,2,3,7,4,8,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,2,3,5,1,7,8,4] => [5,6,2,8,3,1,7,4] => [7,6,1,5,3,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,6,2,4,1,5,7,3] => [4,6,8,3,1,7,5,2] => [8,6,4,1,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,2,1,6,7,4] => [2,3,5,8,7,4,6,1] => [8,2,3,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,2,3,6,8,4] => [1,5,2,7,8,4,6,3] => [1,8,2,7,5,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,1,2,7,8,6] => [3,1,4,5,2,8,7,6] => [5,1,3,4,2,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[8,1,2,5,3,6,7,4] => [8,1,5,7,2,3,6,4] => [5,1,8,7,4,3,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,3,4,1,5,8,7,2] => [4,7,6,3,1,5,8,2] => [8,4,6,1,3,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,4,1,5,8,6] => [4,7,3,2,1,8,5,6] => [4,3,8,1,2,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,2,7,5,3,4,6,1] => [6,8,5,3,7,4,2,1] => [7,5,8,1,6,2,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,8,3,4,1,2,6,5] => [4,1,8,3,6,2,7,5] => [6,1,4,2,7,5,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[2,5,3,8,4,1,6,7] => [4,2,8,5,1,3,6,7] => [2,8,4,5,3,1,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,5,3,8,4,1] => [4,2,8,5,6,7,1,3] => [2,8,4,5,6,7,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,1,7,4,8,2] => [5,6,3,8,7,2,1,4] => [7,3,8,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,1,7,4,5,6,2,8] => [3,6,1,7,4,5,2,8] => [7,3,2,6,1,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,7,3,4,8,2,6,5] => [1,8,7,3,6,2,4,5] => [1,6,7,2,8,5,4,3] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[8,5,7,4,2,3,1,6] => [3,4,2,7,8,1,5,6] => [8,3,1,4,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,3,5,7,1,6] => [7,2,8,4,3,1,5,6] => [2,7,4,8,1,5,6,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,3,8,2,4,7,5,6] => [1,8,3,2,7,5,4,6] => [1,3,7,2,8,4,6,5] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,7,3,2,4,6,5,8] => [1,3,7,2,6,4,5,8] => [1,6,3,2,7,5,4,8] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,8,3,7,4,2,5,6] => [1,4,7,8,3,5,2,6] => [1,8,7,4,2,3,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,3,1,4,2,5,6] => [3,7,4,2,1,5,8,6] => [8,3,4,1,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,3,5,7,1,6] => [7,2,4,8,3,1,5,6] => [2,7,8,4,1,5,6,3] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[3,2,8,7,4,1,5,6] => [4,3,2,7,1,5,8,6] => [3,8,1,4,2,5,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,5,1,7,8,4] => [5,3,2,6,8,4,7,1] => [3,7,1,6,5,2,8,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[8,4,6,2,7,3,1,5] => [3,7,6,8,2,4,1,5] => [8,3,7,6,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,2,8,7,1,5] => [7,6,4,3,1,2,8,5] => [4,6,8,1,3,5,7,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,8,4,2,6,3,5,1] => [5,4,8,6,2,3,7,1] => [6,7,4,5,2,1,8,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[3,2,7,8,6,4,5,1] => [5,3,2,6,4,8,7,1] => [3,7,1,5,2,6,8,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[6,5,4,2,1,7,8,3] => [2,4,5,6,8,1,7,3] => [7,2,6,4,5,3,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,4,1,6,7,2,8,3] => [4,5,7,8,2,6,3,1] => [7,6,5,4,2,8,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,5,3,1,7,2,4] => [3,5,8,2,7,6,1,4] => [7,5,3,1,6,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,6,1,7,3,4,2,5] => [6,4,8,1,2,7,3,5] => [6,8,4,3,2,7,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,5,7,3,2,6,4,8] => [1,3,7,6,5,2,4,8] => [1,5,3,6,7,4,2,8] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[6,1,4,8,2,7,3,5] => [6,8,7,1,3,4,2,5] => [8,6,7,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,6,8,2,4,3] => [7,8,4,2,1,5,6,3] => [7,4,8,2,3,1,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,6,1,5,2,4,3,8] => [6,5,4,2,1,7,3,8] => [4,5,7,2,3,6,1,8] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,6,7,3,5,4,8,2] => [1,8,7,5,3,6,4,2] => [1,5,6,7,3,8,2,4] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,7,8,3,6,4,5,2] => [1,5,8,6,4,3,7,2] => [1,7,5,6,2,3,8,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,8,7,6,4,5,2,3] => [1,5,2,6,4,7,8,3] => [1,8,2,5,3,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,7,6,4,1,3] => [4,2,1,6,7,8,3,5] => [2,8,1,4,7,6,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,6,8,3,2] => [5,3,8,7,4,1,6,2] => [5,8,3,7,1,4,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,6,8,3,2] => [4,3,8,1,7,5,6,2] => [4,7,3,2,8,1,5,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,6,7,4,3,1,8,2] => [3,4,7,8,5,6,1,2] => [6,5,3,4,7,8,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,7,8,5,3,1,4,2] => [3,5,4,2,8,6,7,1] => [6,3,4,1,5,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,6,3,2,5,4,7,8] => [1,3,6,5,2,4,7,8] => [1,5,3,6,4,2,7,8] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,2,6,4,3,5,7,8] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,6,8,2,7,5,4,3] => [1,8,4,5,7,6,2,3] => [1,4,7,5,6,8,3,2] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,5,4,7,2,6,8,3] => [1,7,8,5,4,2,6,3] => [1,7,5,8,2,4,3,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,3,7,6,2,8,5,4] => [1,6,3,5,7,8,4,2] => [1,3,7,8,5,6,2,4] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,7,6,2,8,4,3,5] => [1,6,4,7,2,8,3,5] => [1,7,8,4,3,6,5,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,5,2,8,4,3,7,6] => [1,5,4,8,2,7,3,6] => [1,5,7,4,3,8,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,2,8,5,6,3,4,7] => [1,2,6,3,8,5,4,7] => [1,2,8,3,6,4,5,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,5,2,8,6,4] => [1,5,7,6,3,8,2,4] => [1,8,5,7,3,6,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,2,5,8,4,3] => [1,7,4,8,2,6,5,3] => [1,6,7,4,3,8,2,5] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,4,5,8,2,6,3,7] => [1,8,6,4,5,2,3,7] => [1,4,5,6,8,3,2,7] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,7,6,4,8,2,5,3] => [1,8,5,6,2,7,4,3] => [1,5,8,6,4,7,2,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,4,8,6,5,2,7,3] => [1,5,6,4,8,7,2,3] => [1,6,4,8,5,7,3,2] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,3,8,2,6,5,4,7] => [1,8,3,5,6,2,4,7] => [1,3,5,8,6,4,2,7] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,5,2,7,6,4,8,3] => [1,5,8,6,2,7,4,3] => [1,8,5,6,4,7,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,3,8,7,5,6] => [1,2,4,3,7,5,8,6] => [1,2,4,3,8,5,7,6] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,4,3,8,7,2,5,6] => [1,7,4,3,2,5,8,6] => [1,4,8,2,3,5,7,6] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,7,2,4,8,6,5,3] => [1,7,5,2,6,8,4,3] => [1,5,8,3,7,6,2,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,6,5,3,2,8,7,4] => [1,3,5,6,7,4,8,2] => [1,8,3,6,5,2,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,8,7,5,4,6] => [1,3,2,5,7,4,8,6] => [1,3,2,8,5,4,7,6] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,2,8,6,5,4,3,7] => [1,2,4,5,6,8,3,7] => [1,2,8,4,5,6,3,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,1,3,4,6,5,2,7] => [8,5,1,3,6,4,2,7] => [5,8,2,1,6,3,4,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,1,4,2,6,3,7] => [5,4,8,3,6,2,1,7] => [5,8,4,1,6,2,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,4,1,3,5,6,2,7] => [4,8,2,6,3,5,1,7] => [8,4,1,6,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,4,1,6,3,7] => [4,5,8,3,6,1,2,7] => [8,5,4,1,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,1,5,2,6,3] => [7,5,6,4,1,2,8,3] => [4,6,5,8,3,2,7,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[4,8,7,1,5,2,3,6] => [7,5,2,4,1,3,8,6] => [4,5,1,8,3,2,7,6] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[3,8,7,5,4,1,2,6] => [4,1,3,5,7,2,8,6] => [3,1,8,4,5,2,7,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[7,6,8,4,1,5,2,3] => [4,8,1,5,2,7,6,3] => [7,4,2,5,3,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,1,4,8,6,3,5,2] => [7,5,6,1,3,8,4,2] => [5,8,7,3,2,6,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,7,5,1,3,6,2,4] => [5,7,2,1,6,3,8,4] => [8,5,1,3,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,3,5,4,7,2] => [6,8,2,5,3,7,4,1] => [6,5,1,8,3,7,2,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,8,5,2,4,3,6,1] => [6,5,4,2,8,3,7,1] => [4,6,7,2,5,1,8,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[7,3,8,2,5,4,6,1] => [6,8,7,5,2,4,3,1] => [7,5,6,8,3,1,2,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,4,2,5,3,7,6,1] => [6,4,7,5,1,8,2,3] => [5,8,4,7,3,6,2,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,4,8,2,6,3,5,1] => [5,8,6,7,3,2,4,1] => [8,5,7,6,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,7,8,5,3,2] => [4,3,6,5,8,2,7,1] => [4,7,3,6,5,1,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[8,7,3,1,6,2,5,4] => [3,7,6,5,1,2,8,4] => [6,3,5,8,4,2,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,8,2,4,6,5,1,3] => [5,6,2,1,8,4,7,3] => [7,6,1,3,5,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,5,2,4,6,1,3] => [6,5,1,2,7,4,8,3] => [6,8,2,3,5,1,7,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,3,2,6,1,5,4] => [6,3,7,5,1,2,8,4] => [5,6,3,8,4,2,7,1] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[5,3,1,7,6,4,2,8] => [3,5,4,6,2,7,1,8] => [7,3,5,4,1,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,5,3,1,4,2,8] => [3,5,4,2,6,7,1,8] => [7,3,4,1,5,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,4,6,7,5,3,2,1] => [2,3,5,7,8,1,6,4] => [8,2,3,7,5,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,6,7,5,3,2] => [1,3,5,4,7,8,6,2] => [1,4,3,8,5,7,2,6] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[7,3,8,5,6,4,2,1] => [2,4,6,7,8,5,1,3] => [8,2,7,4,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,5,6,4,3,1] => [3,4,6,8,2,5,7,1] => [7,6,3,4,1,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,7,3,6,8,5,4,2] => [1,4,5,8,7,3,6,2] => [1,8,5,4,7,2,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,6,8,5,4,2] => [7,4,1,5,8,3,6,2] => [4,8,2,7,5,1,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,8,3,6,7,5,4,2] => [1,4,5,7,8,3,6,2] => [1,8,7,4,5,2,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,7,5,6,4,3] => [1,8,4,6,7,5,2,3] => [1,4,8,6,7,2,5,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,2,8,6,4,5,3,1] => [3,5,7,6,4,8,1,2] => [8,5,3,7,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,4,5,3,2] => [7,3,5,6,4,8,1,2] => [3,8,5,7,1,6,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,5,4,3,7,8] => [1,6,4,5,2,3,7,8] => [1,4,6,5,3,2,7,8] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,7,2,8,4,3,6,5] => [1,7,4,8,6,3,2,5] => [1,6,7,4,8,3,5,2] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,7,2,5,4,6,3,8] => [1,7,6,5,2,4,3,8] => [1,5,6,7,4,2,3,8] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => [1,2,7,3,8,4,6,5] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[6,5,7,2,3,1,8,4] => [3,7,2,8,6,5,1,4] => [7,3,1,6,8,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,7,2,8,3,4,1] => [4,7,8,3,6,5,2,1] => [7,6,4,1,8,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,7,2,8,1,4,3] => [8,7,4,1,6,5,2,3] => [4,6,7,3,8,1,5,2] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[6,2,7,5,8,1,4,3] => [8,6,4,1,7,2,5,3] => [4,6,8,3,7,5,1,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[6,7,2,5,8,1,4,3] => [8,7,4,1,2,6,5,3] => [4,6,7,3,2,8,1,5] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[6,7,3,5,8,1,4,2] => [8,4,7,1,3,6,5,2] => [4,7,6,3,1,8,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,3,7,5,8,1,4,2] => [8,4,6,1,7,3,5,2] => [4,8,6,3,7,2,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,3,8,1,4,2] => [8,4,7,1,6,5,3,2] => [4,7,6,3,8,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,3,7,4,8,2,5,1] => [5,8,6,7,2,3,4,1] => [8,5,7,6,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,2,5,3,1] => [3,5,4,6,1,7,8,2] => [8,3,5,4,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,2,1,7,8,3] => [2,4,6,8,5,3,7,1] => [6,2,5,4,7,1,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,8,2,7,6,1,3,4] => [6,7,2,3,5,8,1,4] => [7,5,1,2,8,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,6,7,1,3,5,2,4] => [7,5,1,2,3,8,6,4] => [5,8,2,3,4,7,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,2,1,8,6,3,5,4] => [2,7,6,5,3,8,1,4] => [5,2,7,8,3,6,4,1] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[3,2,4,8,1,7,6,5] => [8,3,2,4,6,7,1,5] => [3,4,1,6,8,7,5,2] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[6,2,7,1,4,8,3,5] => [7,6,8,1,3,2,4,5] => [7,8,6,3,2,5,4,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,3,6,7,1,4,5] => [7,8,2,1,4,3,6,5] => [8,7,1,3,2,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,1,4,7,5,6] => [3,8,2,1,7,5,4,6] => [7,3,1,2,8,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,1,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,8,7,5,3,1,6] => [3,2,5,4,7,1,8,6] => [2,4,3,8,5,1,7,6] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,6,8,7,5,3,4,1] => [4,2,5,3,7,6,8,1] => [2,6,4,1,5,8,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[2,6,5,1,4,3,8,7] => [5,2,4,1,6,3,8,7] => [2,4,6,3,5,1,8,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[6,5,1,2,4,3,8,7] => [5,1,4,2,6,3,8,7] => [4,1,6,3,5,2,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[4,6,5,3,1,2,8,7] => [3,1,5,4,6,2,8,7] => [4,1,3,6,5,2,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[4,8,7,5,3,1,2,6] => [3,1,5,4,7,2,8,6] => [4,1,3,8,5,2,7,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[4,6,8,7,5,3,1,2] => [3,1,5,4,7,6,8,2] => [4,1,3,6,5,8,7,2] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[8,7,3,4,6,5,1,2] => [5,1,6,2,7,4,8,3] => [8,1,6,3,5,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,8,7,3,6,5] => [2,1,7,4,6,3,8,5] => [2,1,4,6,8,5,7,3] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[4,8,7,3,1,2,6,5] => [3,1,7,4,6,2,8,5] => [4,1,3,6,8,5,7,2] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[8,7,3,4,1,2,6,5] => [4,1,7,3,6,2,8,5] => [6,1,4,2,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,7,3,2,6,5,1,4] => [5,3,6,2,7,1,8,4] => [6,8,3,1,5,4,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,8,7,3,4,6,5,1] => [5,2,6,1,7,4,8,3] => [2,8,6,3,5,1,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,7,3,6,5,1,4] => [5,2,6,3,7,1,8,4] => [2,8,6,1,5,4,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,1,2,4,3,6,5] => [7,1,4,2,6,3,8,5] => [4,1,6,3,8,5,7,2] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[2,1,8,7,3,4,6,5] => [2,1,7,3,6,4,8,5] => [2,1,6,3,8,5,7,4] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[8,7,5,1,2,4,3,6] => [5,1,4,2,7,3,8,6] => [4,1,8,3,5,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[2,8,7,1,4,3,6,5] => [7,2,4,1,6,3,8,5] => [2,4,6,3,8,5,7,1] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[2,8,7,3,4,1,6,5] => [4,2,7,3,6,1,8,5] => [2,6,4,1,8,5,7,3] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,8,7,5,6,3,4,1] => [4,2,6,3,7,5,8,1] => [2,8,4,1,6,3,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,8,7,3,1,6,5] => [3,2,7,4,6,1,8,5] => [2,4,3,6,8,5,7,1] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[2,4,3,1,8,7,5,6] => [3,2,4,1,7,5,8,6] => [2,4,3,1,8,5,7,6] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[4,3,1,2,6,8,7,5] => [3,1,4,2,7,6,8,5] => [4,1,3,2,6,8,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[2,8,7,5,6,3,1,4] => [3,2,6,1,7,5,8,4] => [2,8,3,1,6,4,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,7,5,3,6,4,1] => [4,2,6,5,7,1,8,3] => [2,8,4,6,5,3,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,7,5,6,1,4,3] => [6,2,4,1,7,5,8,3] => [2,4,8,3,6,1,7,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,6,8,7,5,1,4,3] => [5,2,4,1,7,6,8,3] => [2,4,6,3,5,8,7,1] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[6,8,7,5,1,2,4,3] => [5,1,4,2,7,6,8,3] => [4,1,6,3,5,8,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[8,7,5,6,1,2,4,3] => [6,1,4,2,7,5,8,3] => [4,1,8,3,6,2,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[2,4,8,7,3,6,5,1] => [5,2,6,4,7,1,8,3] => [2,6,4,8,5,3,7,1] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[8,7,2,4,3,6,5,1] => [5,6,4,1,7,3,8,2] => [6,4,8,3,5,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,5,3,6,4,1,2] => [4,1,6,5,7,2,8,3] => [8,1,4,6,5,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,4,3,6,5,2] => [7,5,4,1,6,3,8,2] => [4,5,8,3,6,1,7,2] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,7,3,4,1,6,5,2] => [4,5,6,2,7,1,8,3] => [8,6,4,2,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,4,3,5,6,8] => [7,1,4,2,3,5,6,8] => [4,1,7,3,2,5,6,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[5,2,6,3,7,1,4,8] => [7,5,6,1,2,3,4,8] => [5,7,6,3,4,2,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[6,5,4,1,3,8,7,2] => [4,5,1,6,7,3,8,2] => [8,6,2,4,5,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,1,8,4,7,3] => [6,2,7,8,5,1,4,3] => [2,7,6,5,8,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,6,5,1,8,4,7,3] => [5,2,6,7,8,3,1,4] => [2,8,7,6,5,3,4,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,2,8,6,3] => [4,1,5,7,6,8,2,3] => [8,1,5,4,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,1,8,4,6,3] => [2,7,6,8,5,4,1,3] => [6,2,7,5,8,1,4,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,6,3,2,8,4,1,5] => [4,3,8,6,2,7,1,5] => [4,8,3,6,1,7,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,2,8,5,3,1,4,6] => [3,5,8,1,7,4,2,6] => [8,5,3,2,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,3,2,4,5,7] => [6,3,1,2,4,8,5,7] => [3,8,2,1,4,6,5,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,3,7,4,2,1,6] => [2,4,7,8,5,3,1,6] => [7,2,5,4,8,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,1,3,5,2,4,6,7] => [8,5,1,2,3,4,6,7] => [5,8,2,3,4,1,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,8,3,5,7,2,4,6] => [1,7,8,2,3,4,5,6] => [1,8,7,3,4,5,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,1,2,8,6,4] => [7,1,5,6,3,8,2,4] => [5,1,8,7,3,6,4,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,1,3,7,6,8,2,5] => [4,8,1,3,2,7,6,5] => [7,4,2,1,3,8,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,8,6,2,4,7,1,3] => [7,6,1,2,5,8,4,3] => [5,7,2,3,8,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[3,8,2,6,5,7,1,4] => [7,8,3,1,6,2,5,4] => [6,3,7,2,8,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,7,2,5,6,3,1,4] => [3,6,7,2,1,5,8,4] => [8,6,3,1,4,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,2,8,4,3,5] => [7,1,4,8,3,6,2,5] => [6,1,7,4,2,8,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[2,5,7,1,8,4,3,6] => [7,2,4,8,5,3,1,6] => [2,5,7,4,8,1,6,3] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[5,4,7,6,8,3,1,2] => [3,1,8,5,4,7,6,2] => [5,1,3,7,2,8,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,5,7,8,6,3,2,4] => [1,3,6,2,5,8,7,4] => [1,5,3,2,7,6,8,4] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[8,3,7,5,6,2,1,4] => [2,6,8,1,7,5,3,4] => [8,2,6,3,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,6,4,3,1,5] => [3,4,6,7,2,8,1,5] => [8,7,3,4,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,5,6,2,1,3] => [2,6,1,4,7,5,8,3] => [4,2,1,8,6,3,7,5] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,3,9,8,7,6,5,4,2] => [1,4,3,5,6,7,8,9,2] => [1,3,9,4,5,6,7,8,2] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,8,7,3,6,5,2] => [4,5,6,1,7,2,8,3] => [8,6,4,3,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,3,7,6,2] => [1,6,4,7,5,8,2,3] => [1,5,7,4,8,6,3,2] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[8,1,7,2,5,6,4,3] => [8,7,4,6,2,5,1,3] => [4,6,8,7,2,1,5,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[8,1,3,5,2,7,6,4] => [8,5,1,6,3,7,2,4] => [5,8,2,6,3,7,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,2,4,3,7,5,1] => [5,7,4,1,6,8,3,2] => [5,4,8,3,7,6,1,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,1,4,5,6,3,7,2] => [8,7,6,1,4,5,3,2] => [6,7,8,3,1,2,4,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[3,5,6,2,8,7,4,1] => [4,7,3,6,5,1,8,2] => [4,3,6,5,8,2,7,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[2,4,5,1,7,6,3,8] => [5,2,6,4,1,7,3,8] => [2,5,4,7,3,6,1,8] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[8,4,5,3,7,6,2,1] => [2,6,5,7,1,8,3,4] => [7,2,8,5,4,6,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,4,1,6,8,2,5] => [4,8,7,3,2,1,6,5] => [8,4,7,1,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,6,3,4,8,5] => [2,7,6,3,8,1,4,5] => [7,2,8,1,6,5,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,4,1,6,5,8,2] => [4,8,7,3,6,1,5,2] => [7,4,6,1,8,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,7,4,2,5,8,6,1] => [6,4,3,8,1,7,5,2] => [3,6,8,4,2,7,1,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[2,3,5,1,4,8,7,6] => [5,2,3,1,4,7,8,6] => [2,3,5,1,4,8,7,6] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[3,8,7,1,6,2,5,4] => [7,6,3,5,2,1,8,4] => [3,5,6,8,2,4,7,1] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[3,8,7,1,4,5,2,6] => [7,5,3,1,4,2,8,6] => [3,5,8,2,1,4,7,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[8,4,5,7,3,2,6,1] => [6,3,7,8,4,2,5,1] => [7,8,3,6,1,4,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,7,5,1,2,6,4] => [5,1,7,8,6,3,4,2] => [8,1,6,5,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,7,6,1,3,2] => [6,3,1,4,5,7,8,2] => [3,4,2,5,8,6,7,1] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[8,5,7,2,6,4,1,3] => [4,6,2,7,8,1,5,3] => [8,7,1,4,6,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,7,5,1,4,2] => [5,4,7,3,6,8,1,2] => [5,8,4,1,7,6,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,2,7,6,1,3,4] => [6,5,2,3,7,8,1,4] => [7,8,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,7,3,1,4,5,2,6] => [3,7,5,2,4,1,8,6] => [8,3,5,1,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,1,4,5,6,2] => [3,7,6,2,4,5,8,1] => [8,3,6,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,1,7,5,2,3] => [4,6,2,5,8,7,1,3] => [8,4,1,6,5,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,1,7,4,5,2] => [3,6,5,8,2,7,4,1] => [8,3,6,5,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,1,6,4,2] => [7,4,6,5,8,1,2,3] => [4,8,6,7,5,3,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,1,5,2,8] => [3,7,5,6,2,4,1,8] => [7,3,5,6,2,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,5,3,6,1,2,7,4] => [6,1,5,8,7,4,2,3] => [7,1,8,5,6,2,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,7,5,1,2,6,3,4] => [5,1,7,2,6,3,8,4] => [8,1,5,3,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,1,2,5,3,6] => [4,1,7,5,3,2,8,6] => [8,1,4,5,2,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,8,4,2,5,7] => [1,4,8,6,3,2,5,7] => [1,8,4,6,2,5,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,5,3,6,1,8] => [6,7,5,4,2,3,1,8] => [5,4,6,7,2,1,3,8] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,8,6,4,2,5,3,7] => [1,4,6,5,3,8,2,7] => [1,8,4,5,2,6,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,7,5,3,1,6,2] => [3,5,7,4,6,1,8,2] => [5,4,3,8,6,2,7,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,1,4,8,3,2,5,7] => [6,3,8,1,2,4,5,7] => [6,8,3,2,4,5,1,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,2,7,4,3,5,6,8] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[6,8,2,5,1,4,7,3] => [5,8,7,1,2,6,4,3] => [7,5,6,3,4,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,2,8,6,5,1,4,3] => [5,6,4,1,8,7,2,3] => [6,4,8,3,5,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,4,8,6,1,5,3,2] => [6,3,5,8,4,7,1,2] => [3,8,6,5,1,7,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,8,6,2,4,3,5] => [1,6,4,2,3,8,7,5] => [1,4,7,3,2,6,8,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,8,4,1,5,2,3,7] => [4,8,1,5,2,6,3,7] => [6,4,2,5,3,8,1,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,2,1,3,7,6,4,8] => [2,5,1,6,3,7,4,8] => [7,2,1,5,4,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,8,4,1,2,3,7,6] => [4,1,2,8,5,7,3,6] => [5,1,2,4,7,8,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,6,7,3,2,8,4,5] => [1,3,7,8,4,6,2,5] => [1,7,3,6,2,8,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,8,6,3,2,7,4,5] => [1,3,6,8,2,7,4,5] => [1,8,3,6,4,7,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,3,8,2,4,6] => [1,8,7,2,5,4,3,6] => [1,5,7,3,8,2,6,4] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,8,5,2,6,4,3,7] => [1,5,4,8,6,3,2,7] => [1,5,8,4,6,2,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,6,2,7,4,5,3] => [1,6,5,8,2,7,4,3] => [1,6,8,5,4,7,2,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[3,6,1,7,4,8,5,2] => [6,5,3,8,7,1,2,4] => [3,7,8,5,6,4,2,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,5,8,6,3,1,7,4] => [3,2,6,8,5,7,4,1] => [2,6,3,5,8,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,3,6,1,8,7,4,5] => [6,2,3,7,4,1,8,5] => [2,3,8,6,1,5,7,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,7,4,6,8,3] => [1,2,8,7,5,4,6,3] => [1,2,5,7,8,3,4,6] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,4,7,6,8,3,5] => [1,2,8,4,3,7,6,5] => [1,2,4,7,3,8,5,6] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[3,5,8,6,1,7,2,4] => [6,8,3,1,5,7,2,4] => [5,3,6,2,8,7,4,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[2,3,6,8,1,7,4,5] => [8,2,3,7,4,6,1,5] => [2,3,6,7,1,8,5,4] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[2,3,7,1,8,6,4,5] => [7,2,3,6,4,8,1,5] => [2,3,7,8,1,6,5,4] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,4,3,6,7,8,2,5] => [1,8,4,3,2,6,7,5] => [1,4,6,2,3,7,8,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,7,4,8,5,6,3,2] => [1,3,6,7,8,5,4,2] => [1,8,3,7,6,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,8,6,2,7,4,1] => [4,7,3,6,5,8,1,2] => [4,3,7,5,8,6,2,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[7,8,2,5,1,6,4,3] => [5,8,4,6,2,1,7,3] => [6,4,7,5,2,3,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[2,4,8,6,7,1,5,3] => [7,2,5,4,1,8,6,3] => [2,4,5,8,3,7,1,6] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,2,4,7,3,6,8,5] => [1,2,7,4,8,3,6,5] => [1,2,4,8,7,5,3,6] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,4,7,6,3,5,8] => [1,2,6,4,3,7,5,8] => [1,2,4,7,3,6,5,8] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,3,8,6,7,5,4,2] => [1,4,3,5,7,8,6,2] => [1,3,8,4,5,7,2,6] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,6,8,4,7,5] => [2,3,1,8,7,6,4,5] => [3,2,1,6,7,8,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[4,8,3,1,6,5,7,2] => [3,8,7,4,6,2,5,1] => [6,3,4,7,8,2,1,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[6,5,8,4,2,1,7,3] => [2,4,8,7,6,5,3,1] => [7,2,4,6,8,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,7,8,6,5,4,2,3] => [1,4,2,5,6,8,7,3] => [1,7,2,4,5,6,8,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,1,3,5,4,2,8,7] => [6,4,1,5,3,2,8,7] => [4,6,2,5,1,3,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[3,6,4,2,5,1,8,7] => [5,4,3,6,2,1,8,7] => [3,5,6,4,1,2,8,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[2,1,5,8,6,4,7,3] => [2,1,7,6,5,8,4,3] => [2,1,5,7,8,6,3,4] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[4,2,8,5,6,3,7,1] => [7,4,6,2,8,5,3,1] => [4,8,7,2,6,1,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,2,7,5,6,4] => [1,8,3,6,7,5,2,4] => [1,3,6,8,7,2,5,4] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[5,7,1,2,3,8,6,4] => [7,1,2,6,5,8,3,4] => [5,1,2,7,8,6,4,3] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,7,6,2,1,8,5,3] => [2,6,5,4,7,8,3,1] => [4,2,7,8,5,6,1,3] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[4,2,7,1,6,8,5,3] => [7,4,5,2,8,1,6,3] => [4,8,7,2,5,3,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,7,8,4,2,5,6,3] => [1,4,8,6,3,5,7,2] => [1,7,4,6,2,3,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,2,8,5,7,6,4] => [3,1,2,6,7,8,4,5] => [3,1,2,8,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[7,8,6,2,4,1,5,3] => [4,6,5,2,1,8,7,3] => [7,4,5,2,3,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,2,8,4,6,1,5,3] => [6,7,5,8,1,4,2,3] => [7,6,8,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,4,6,2,7,5,8,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,7,4,8,2,5,6,3] => [1,8,6,7,2,5,4,3] => [1,6,8,7,4,2,3,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,5,6,1,2,4,3,8] => [6,1,4,2,7,5,3,8] => [4,1,7,3,6,2,5,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[6,1,8,4,2,3,5,7] => [6,4,2,8,3,1,5,7] => [6,8,1,4,2,5,3,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,4,6,2,1,8,5,3] => [2,6,5,8,7,3,1,4] => [7,2,8,5,6,3,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,3,1,6,4,8,5] => [3,7,2,6,8,1,4,5] => [7,3,1,8,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,5,8,7,3,4,6,2] => [1,6,7,3,5,4,8,2] => [1,6,5,2,8,3,7,4] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,8,6,4,2,5,7,3] => [1,4,6,8,2,7,5,3] => [1,8,6,4,3,7,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,8,7,5,3,6] => [4,2,5,1,7,3,8,6] => [2,8,4,3,5,1,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,1,6,5,7,3,4] => [8,2,7,3,6,1,5,4] => [2,6,7,1,8,5,3,4] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,1,6,4,3,8,7,2] => [5,7,4,6,1,3,8,2] => [6,4,8,5,3,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,4,7,3,1,8,2] => [3,7,8,5,6,4,2,1] => [6,5,3,8,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,2,1,8,4,7,6,3] => [2,5,6,7,1,8,3,4] => [8,2,7,5,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,8,1,3,7,2] => [8,7,1,5,4,6,3,2] => [5,6,2,7,1,8,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[3,7,1,6,4,5,8,2] => [7,8,3,6,4,1,5,2] => [6,3,7,8,1,5,2,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[3,1,6,7,2,5,4,8] => [3,7,1,5,2,6,4,8] => [5,3,2,6,4,7,1,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[4,8,2,5,3,1,7,6] => [3,5,8,4,1,7,2,6] => [5,4,3,7,2,8,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,3,8,7,5,4,6,2] => [1,6,3,5,7,4,8,2] => [1,3,6,8,5,2,7,4] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,2,3,4,5,7,9,8,6] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,7,9,8,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[5,3,8,4,6,7,1,2] => [7,1,5,8,3,4,6,2] => [7,1,8,5,3,2,4,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,7,3,4,8,5,1,2] => [5,1,8,2,7,6,4,3] => [7,1,5,3,6,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,3,7,1,5,6,8,4] => [7,2,3,8,1,5,6,4] => [2,3,8,7,4,1,5,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,7,3,2,8,6] => [4,3,7,1,5,8,2,6] => [4,5,3,2,8,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[5,8,6,2,7,3,1,4] => [3,7,6,2,5,8,1,4] => [7,3,5,1,8,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,4,1,7,2,8,5,3] => [4,6,7,5,8,2,3,1] => [8,6,4,7,5,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,2,8,5,4] => [3,7,6,5,8,2,1,4] => [7,3,6,8,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,8,2,5,3,1,6,7] => [3,5,8,4,1,2,6,7] => [5,4,3,8,2,1,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,1,3,4,8,2,6,7] => [5,8,1,3,4,2,6,7] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,3,5,1,6,4] => [5,8,2,6,3,1,7,4] => [7,5,1,6,3,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,1,4,5,7,8,2,3] => [6,8,2,1,4,5,7,3] => [7,6,1,3,2,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,3,4,7,1,8,5,2] => [7,5,8,2,6,4,1,3] => [6,8,5,2,7,1,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,3,4,5,6,8,2] => [7,8,1,3,4,5,6,2] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,6,8,7,3,5] => [1,2,7,4,3,6,8,5] => [1,2,4,6,3,8,7,5] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[8,3,2,5,6,1,7,4] => [6,3,8,7,2,5,1,4] => [6,8,3,7,2,1,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,3,5,6,1,7,4] => [6,8,2,7,3,5,1,4] => [8,6,1,7,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,6,8,3,5,4] => [7,1,8,5,3,2,6,4] => [7,1,5,8,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,6,8,1,2,5,3] => [8,1,5,4,2,7,6,3] => [4,1,5,7,3,8,2,6] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[7,1,6,2,3,4,8,5] => [7,6,2,3,8,1,4,5] => [7,8,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,2,1,3,4,8,5] => [2,6,1,3,7,8,5,4] => [8,2,1,3,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,8,5,2,4,1] => [4,5,3,2,8,7,6,1] => [4,3,7,1,5,8,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[3,8,5,4,7,6,2,1] => [2,6,3,5,7,8,1,4] => [3,2,7,8,5,6,4,1] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[8,7,1,6,3,2,5,4] => [7,3,6,5,2,1,8,4] => [3,6,5,8,2,4,7,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[7,6,2,5,8,1,4,3] => [8,6,4,1,2,7,5,3] => [4,6,8,3,2,7,1,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[5,8,7,2,6,3,4,1] => [4,7,6,3,5,2,8,1] => [6,4,5,1,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,6,2,4,8,1,5,3] => [8,6,5,2,1,7,4,3] => [5,6,8,2,4,7,1,3] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,7,8,2,6,1,3,4] => [6,8,1,3,5,2,7,4] => [6,5,2,1,7,4,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[6,7,5,1,8,2,3,4] => [5,7,1,3,8,6,2,4] => [7,6,2,1,5,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,1,7,3,2,4,8,5] => [6,3,7,2,8,1,4,5] => [7,8,3,1,6,5,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,7,3,1,8,2,5,4] => [3,7,8,5,1,6,2,4] => [6,5,3,7,4,8,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,7,2,1,5,3,8,4] => [2,7,5,8,1,6,3,4] => [6,2,7,5,4,8,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[4,8,3,1,7,6,5,2] => [3,8,5,4,6,7,2,1] => [5,3,4,8,6,7,1,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,8,7,3,1,6,4,2] => [3,7,4,6,5,2,8,1] => [6,3,4,5,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,3,8,2,1,7,6,4] => [2,8,5,6,3,7,1,4] => [5,2,8,6,3,7,4,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,8,7,2,6,5,1,4] => [5,6,3,2,7,1,8,4] => [6,3,8,1,5,4,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,4,1,8,6,5,3,2] => [4,3,7,5,6,8,2,1] => [4,8,3,5,7,6,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,1,5,4,3,7,2] => [6,8,4,5,2,7,3,1] => [5,4,8,6,2,7,1,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,1,8,5,4,3,7,2] => [6,7,4,5,8,1,3,2] => [6,4,8,7,5,3,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,6,1,8,3,4,7,2] => [6,7,8,3,5,1,4,2] => [7,6,5,1,8,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,1,5,2,4,7,3] => [8,5,7,2,1,6,4,3] => [5,7,6,2,4,8,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,1,5,8,4,7,2,3] => [6,7,2,8,1,5,4,3] => [8,7,1,6,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,1,4,7,2,3] => [6,7,2,1,8,5,4,3] => [8,7,1,3,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,2,3,4,6,1] => [6,7,2,3,5,4,8,1] => [6,5,1,2,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,2,5,6,1,4,8,3] => [6,7,8,1,2,5,4,3] => [8,7,6,3,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,8,1,4,7,3] => [8,5,7,1,2,6,4,3] => [5,7,6,3,4,8,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,7,4,2,5,8,1,3] => [8,4,1,7,2,6,5,3] => [4,7,2,6,3,8,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,6,8,5,2,4,7,3] => [1,5,8,3,7,6,4,2] => [1,7,5,2,6,8,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,7,5,8,3,2,4] => [1,3,8,2,7,6,5,4] => [1,6,3,2,7,8,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,6,8,5,7,4,2,3] => [1,4,2,7,8,6,5,3] => [1,7,2,4,6,8,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,7,5,8,3,1,4] => [3,2,8,1,7,6,5,4] => [2,6,3,1,7,8,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[2,6,7,4,1,5,8,3] => [4,2,7,8,3,6,5,1] => [2,7,6,4,1,8,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,7,4,1,5,8,2,3] => [4,7,1,8,2,6,5,3] => [7,6,2,4,3,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,7,4,1,6,5,8,2] => [4,7,3,8,6,2,5,1] => [6,3,7,4,8,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[6,8,2,1,5,7,4,3] => [2,8,4,7,1,6,5,3] => [4,2,7,6,3,8,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[7,3,1,4,8,6,5,2] => [3,7,5,2,6,8,4,1] => [8,3,5,1,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,4,8,7,3,1] => [3,7,5,1,6,4,8,2] => [8,3,5,2,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,7,4,2,3,1] => [3,4,2,7,6,5,8,1] => [6,3,1,4,8,2,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,1,8,6,5,7,4,2] => [3,4,1,7,6,8,5,2] => [7,3,2,4,8,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,6,7,5,8,2,1,4] => [2,8,3,1,7,6,5,4] => [3,2,6,1,7,8,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,8,6,5,7,4,3,2] => [1,3,4,7,6,8,5,2] => [1,7,3,4,8,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,7,5,8,3,1,4,6] => [3,2,8,1,7,4,5,6] => [2,7,3,1,8,5,6,4] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,7,5,8,3,4,6,1] => [6,2,8,3,7,4,5,1] => [2,8,6,1,7,4,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,6,3,4,8,1] => [8,2,6,3,7,5,4,1] => [2,6,8,1,7,3,4,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,7,5,6,3,1,2,8] => [3,1,6,4,7,5,2,8] => [4,1,3,7,6,2,5,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[4,7,5,3,1,6,2,8] => [3,5,7,4,6,1,2,8] => [5,4,3,7,6,2,1,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[2,7,5,3,6,1,4,8] => [6,2,5,1,7,3,4,8] => [2,6,7,3,5,4,1,8] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[2,7,5,3,6,4,8,1] => [8,2,5,7,6,4,3,1] => [2,5,8,6,7,1,3,4] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,7,5,3,1,8,2,4] => [3,5,7,2,8,6,1,4] => [7,6,3,1,5,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,7,5,3,8,6,1,4] => [6,2,5,3,8,7,1,4] => [2,6,8,1,5,7,4,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,7,5,8,3,1,6,4] => [3,2,8,6,7,1,5,4] => [2,6,3,8,7,5,1,4] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,7,5,3,8,1,6,2] => [8,6,5,4,7,1,3,2] => [4,5,7,8,6,3,1,2] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[2,7,5,8,6,3,1,4] => [3,2,6,1,8,7,4,5] => [2,8,3,1,6,7,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,8,6,3,4,1] => [4,2,6,3,8,7,1,5] => [2,8,4,1,6,7,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,6,8,3,4,1] => [4,2,8,3,7,5,6,1] => [2,7,4,1,8,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,7,5,6,8,3,1,4] => [3,2,8,1,7,5,6,4] => [2,7,3,1,8,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,7,5,3,6,8,1,2] => [8,1,5,4,7,3,6,2] => [4,1,5,8,7,2,3,6] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[2,7,5,6,3,8,4,1] => [4,2,8,6,7,5,1,3] => [2,8,4,6,7,1,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,3,1,6,8,2] => [3,5,7,4,8,1,6,2] => [7,4,3,8,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,7,5,3,1,4,8,2] => [3,5,7,1,8,6,4,2] => [7,6,3,2,5,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,7,5,3,1,4,6,8] => [3,2,5,1,7,4,6,8] => [2,7,3,1,5,4,6,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,7,5,3,1,2,6,8] => [3,1,5,4,7,2,6,8] => [4,1,3,7,5,2,6,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[4,6,5,7,8,3,1,2] => [3,1,8,4,6,5,7,2] => [4,1,3,6,7,2,8,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[5,7,6,3,8,2,1,4] => [2,8,6,1,5,7,3,4] => [5,2,6,3,8,7,4,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[6,1,7,2,8,4,3,5] => [6,7,4,8,3,1,2,5] => [7,6,8,4,1,5,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,7,2,8,5,3,4] => [6,7,5,3,8,1,2,4] => [7,6,8,1,5,4,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,7,6,2,8,5,1,4] => [5,8,3,2,6,7,1,4] => [5,3,8,1,6,7,4,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,7,6,1,8,4,2,5] => [6,4,3,7,1,8,2,5] => [3,7,8,4,2,6,5,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,6,7,1,8,4,3,5] => [7,2,4,8,3,6,1,5] => [2,6,7,4,1,8,5,3] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[5,1,7,3,2,4,8,6] => [5,3,7,2,1,8,4,6] => [5,8,3,1,4,7,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,8,5,6,7,2,1,3] => [2,7,1,4,8,5,6,3] => [4,2,1,8,7,3,5,6] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,8,7,2,3,4,1,6] => [4,7,2,3,5,1,8,6] => [5,4,1,2,8,3,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,8,6,2,7,4,1,3] => [4,7,2,6,5,8,1,3] => [7,4,1,5,8,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,4,6,7,8,5,1,3] => [5,2,1,4,8,6,7,3] => [2,4,1,6,5,7,8,3] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[5,8,7,3,2,4,1,6] => [4,3,7,2,5,1,8,6] => [4,5,3,1,8,2,7,6] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[8,3,1,7,2,6,4,5] => [3,8,7,6,4,1,2,5] => [7,3,6,8,1,5,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,5,1,2,8,7,3,6] => [5,1,7,4,2,3,8,6] => [5,1,4,8,3,2,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[5,6,1,2,8,3,7,4] => [6,1,8,7,5,2,3,4] => [7,1,5,6,8,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,8,5,1,7,6,2,3] => [5,8,1,4,6,7,2,3] => [5,4,2,8,6,7,3,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,3,1,4,8,2,7,5] => [3,6,8,2,7,4,1,5] => [8,6,3,1,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,1,8,2,6,3] => [7,8,6,5,4,2,1,3] => [6,5,7,8,1,3,4,2] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[5,7,6,1,3,8,4,2] => [6,4,2,7,5,8,3,1] => [5,7,1,4,8,6,2,3] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[6,7,1,4,2,8,5,3] => [7,4,5,1,8,6,2,3] => [4,7,6,3,5,8,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,7,4,1,3,8,5,2] => [4,7,2,5,8,6,3,1] => [7,4,1,6,5,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,4,5,1,3,8,6,2] => [5,6,1,8,2,7,3,4] => [8,6,2,5,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,8,4,2,3,6] => [1,4,2,8,5,3,7,6] => [1,5,2,4,7,3,8,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,3,6,4,2,5,7,8] => [1,4,3,6,2,5,7,8] => [1,3,6,4,2,5,7,8] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,5,7,8,2,4,3,6] => [1,8,4,2,5,3,7,6] => [1,4,5,3,7,2,8,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[3,8,4,2,7,5,1,6] => [5,4,3,7,8,2,1,6] => [3,7,8,4,5,1,6,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,8,2,1,3,4,7] => [2,8,1,3,6,5,4,7] => [6,2,1,3,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,8,5,3,6,1,4,7] => [6,2,5,1,8,3,4,7] => [2,6,8,3,5,4,1,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,8,4,1,7,6,5,3] => [4,2,8,5,6,7,3,1] => [2,8,4,5,6,7,1,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,5,4,2,7,1,3] => [7,4,1,5,8,6,2,3] => [4,7,2,6,5,8,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,8,4,6,3,2,7,5] => [1,3,6,8,7,4,2,5] => [1,8,3,6,7,4,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,3,2,6,8] => [4,3,5,7,2,1,6,8] => [5,7,3,4,1,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[3,5,6,1,4,2,7,8] => [6,4,3,1,5,2,7,8] => [3,4,5,2,6,1,7,8] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,6,3,8,4,2,7,5] => [1,4,8,6,7,2,3,5] => [1,8,4,6,7,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,8,4,2,7,1] => [7,4,8,5,2,6,3,1] => [5,7,4,6,2,8,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[5,3,1,4,7,6,8,2] => [3,5,8,2,4,7,6,1] => [7,5,3,1,2,8,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,1,3,2,4,6,8,5] => [7,3,1,2,8,4,6,5] => [3,8,2,1,7,5,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,8,3,5,2,4] => [1,5,8,2,3,6,7,4] => [1,6,5,3,4,7,8,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[2,1,4,8,7,3,5,6] => [2,1,7,4,3,5,8,6] => [2,1,4,8,3,5,7,6] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,6,5,7,8,3,1,4] => [3,2,8,1,6,5,7,4] => [2,6,3,1,7,4,8,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[3,7,6,8,2,5,4,1] => [4,5,3,8,1,7,6,2] => [5,3,7,4,2,8,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[4,1,8,2,6,7,5,3] => [4,8,5,1,7,2,6,3] => [8,4,5,3,7,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,8,2,1,4,5] => [2,8,3,1,4,6,7,5] => [3,2,6,1,4,7,8,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[2,5,7,1,6,3,4,8] => [7,2,6,3,5,1,4,8] => [2,5,6,1,7,4,3,8] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[5,2,4,7,8,6,1,3] => [6,5,1,2,4,8,7,3] => [5,7,2,3,1,6,8,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[7,2,1,3,4,8,5,6] => [2,7,1,3,8,5,4,6] => [8,2,1,3,7,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,7,1,8,6,3] => [7,2,6,4,5,8,1,3] => [2,4,5,7,8,6,3,1] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[7,6,3,1,2,5,8,4] => [3,1,6,7,4,8,5,2] => [8,1,3,7,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,2,3,4,7,5] => [8,6,2,3,7,1,4,5] => [6,8,1,2,7,5,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,4,8,6,7,2,5,1] => [5,7,3,4,2,8,6,1] => [4,3,5,8,1,7,2,6] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,8,3,4,5,2,7,6] => [1,5,8,3,4,7,2,6] => [1,7,5,2,3,8,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,8,3,6,4,7,2,5] => [1,7,8,6,2,3,4,5] => [1,7,6,8,4,5,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,4,1,7,3,6,2,8] => [4,5,6,7,2,1,3,8] => [7,6,5,4,2,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,5,8,6,4,7,1,2] => [7,1,3,6,5,8,4,2] => [3,1,5,7,8,6,2,4] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,4,6,2,5,8,7,3] => [1,6,7,4,2,5,8,3] => [1,6,4,8,3,2,7,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,5,6,4,2,3,8,7] => [1,4,2,6,5,3,8,7] => [1,5,2,4,6,3,8,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[4,1,6,8,2,5,7,3] => [4,8,7,1,2,6,5,3] => [7,4,6,3,2,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,6,2,5,8,3,7,4] => [1,6,8,7,2,5,3,4] => [1,8,6,7,4,2,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,7,8,3,5,2] => [1,5,8,4,3,6,7,2] => [1,5,4,6,2,7,8,3] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[4,1,5,3,6,8,7,2] => [4,7,5,1,3,6,8,2] => [6,4,5,3,1,8,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,1,4,7,8,2,5,3] => [6,8,5,1,2,4,7,3] => [6,5,7,3,4,1,8,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[6,8,7,1,5,3,4,2] => [7,4,5,3,1,6,8,2] => [4,6,5,1,3,8,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[4,8,7,2,5,6,3,1] => [3,6,7,4,1,5,8,2] => [6,4,3,8,2,1,7,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,4,8,1,5,7,3,2] => [8,3,7,6,1,4,5,2] => [3,7,6,8,4,2,1,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,6,8,3,5,2,7,4] => [1,5,8,7,3,6,2,4] => [1,7,5,6,3,8,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,5,8,6,3,7,2,1] => [2,7,6,4,5,8,3,1] => [4,2,5,7,8,6,1,3] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[2,6,7,8,4,5,1,3] => [5,2,1,8,4,6,7,3] => [2,6,1,5,3,7,8,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[6,1,2,8,4,7,5,3] => [6,1,5,7,8,2,3,4] => [7,1,8,6,5,4,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,7,1,8,5,6,3,2] => [7,3,6,4,8,5,1,2] => [3,7,4,8,6,1,5,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,1,8,6,4,5,3] => [2,7,5,6,4,8,1,3] => [5,2,8,7,1,6,4,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,3,8,4,7,6,2,1] => [2,6,5,7,3,8,1,4] => [7,2,8,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,5,8,3,7,6,2,1] => [2,6,7,4,5,8,1,3] => [5,2,4,7,8,6,3,1] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,7,2,8,6,4,5,3] => [1,7,5,6,4,8,2,3] => [1,5,8,7,2,6,4,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,4,7,8,5,6,1,3] => [6,2,1,4,8,5,7,3] => [2,4,1,7,6,3,8,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[2,4,8,5,7,6,1,3] => [6,2,1,4,7,8,3,5] => [2,4,1,8,7,6,5,3] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,1,5,8,6,7,3,2] => [4,3,7,1,5,8,6,2] => [4,5,3,2,8,7,1,6] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[6,3,5,2,4,7,1,8] => [7,5,6,2,3,4,1,8] => [5,7,6,2,3,1,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[5,1,4,3,2,7,6,8] => [5,3,4,1,2,7,6,8] => [3,5,4,2,1,7,6,8] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[3,2,4,7,1,8,5,6] => [7,3,2,4,8,5,1,6] => [3,4,1,8,7,2,6,5] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[4,2,8,7,1,3,5,6] => [7,4,1,2,3,5,8,6] => [4,8,2,3,1,5,7,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,8,7,3,2,4] => [1,3,7,2,5,6,8,4] => [1,5,3,2,6,8,7,4] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[4,8,1,3,6,5,2,7] => [8,5,1,4,6,3,2,7] => [4,5,2,8,6,1,3,7] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[3,5,4,1,6,7,2,8] => [4,5,3,7,2,6,1,8] => [5,3,6,4,1,7,2,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,3,8,6,4,7,2,5] => [1,7,3,6,2,8,4,5] => [1,3,7,8,4,6,5,2] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[6,5,1,8,7,3,2,4] => [5,3,6,1,7,2,8,4] => [6,8,3,2,5,4,7,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,1,7,6,8,3,2,5] => [4,3,8,1,2,7,6,5] => [4,7,3,2,1,8,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[2,1,7,6,4,3,8,5] => [2,1,4,6,7,8,5,3] => [2,1,8,4,7,6,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,1,2,8,7,4] => [5,1,6,7,3,2,8,4] => [8,1,6,5,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,7,6,2,3,5] => [1,6,2,7,4,8,3,5] => [1,8,2,7,3,6,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,4,7,6,1,3,2] => [6,3,1,7,5,8,2,4] => [3,7,2,5,8,6,4,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[4,6,1,7,8,2,5,3] => [6,8,5,4,2,1,7,3] => [5,4,6,7,2,3,8,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[7,2,3,8,4,5,6,1] => [6,7,2,8,4,5,3,1] => [8,7,1,6,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,1,2,7,4,3] => [8,1,4,7,6,5,2,3] => [4,1,7,6,8,2,5,3] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[6,5,1,8,7,2,4,3] => [5,6,4,1,7,2,8,3] => [6,4,8,3,5,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,2,8,7,3,4,5] => [6,1,7,3,4,2,8,5] => [8,1,6,2,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,7,6,2,5,3] => [8,6,5,4,2,7,1,3] => [4,5,6,8,2,7,3,1] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[4,1,8,7,6,5,2,3] => [4,5,2,1,6,7,8,3] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,2,8,4,3,1] => [3,4,8,5,6,7,2,1] => [8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,2,7,4,1,3] => [4,7,2,5,6,8,1,3] => [8,4,1,5,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,2,6,1,4,3] => [6,5,4,1,7,2,8,3] => [4,6,8,3,5,2,7,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,2,8,6,1,5,4,3] => [6,8,4,5,2,7,1,3] => [5,4,8,6,2,7,3,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,6,2,8,4,1,5,7] => [4,8,3,6,2,1,5,7] => [4,3,8,6,1,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,6,4,5,3,1,7,2] => [3,5,7,6,4,8,2,1] => [8,5,3,7,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,5,4,1,7,2] => [4,5,3,6,8,7,2,1] => [6,3,8,4,5,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,6,7,4,5,1,3] => [5,8,1,7,4,2,6,3] => [8,5,2,7,1,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,8,4,6,5,3] => [1,2,5,6,8,3,7,4] => [1,2,7,6,5,4,8,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[4,5,3,1,8,7,2,6] => [3,5,7,4,2,1,8,6] => [5,4,3,8,1,2,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,4,8,1,5,2,6,7] => [8,5,3,4,1,2,6,7] => [3,4,5,8,2,1,6,7] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[3,6,8,5,2,7,1,4] => [7,5,3,1,8,6,2,4] => [3,6,7,2,5,8,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[5,2,4,6,8,7,1,3] => [7,5,1,2,4,6,8,3] => [5,6,2,3,1,8,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[8,1,6,5,7,2,3,4] => [8,7,2,3,6,1,5,4] => [6,7,1,2,8,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,5,8,6,2,7,4,3] => [1,6,4,8,5,7,3,2] => [1,5,6,4,8,7,2,3] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[3,1,8,5,7,2,6,4] => [3,7,1,6,8,2,5,4] => [7,3,2,8,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,5,2,1,7,4,3,8] => [2,5,4,6,7,3,1,8] => [6,2,7,4,5,1,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[5,6,4,3,8,1,2,7] => [8,1,4,6,5,3,2,7] => [4,1,6,5,8,2,3,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[8,5,2,6,4,3,1,7] => [3,4,6,5,8,2,1,7] => [8,4,3,6,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,6,1,4,7,3] => [6,5,8,1,7,3,4,2] => [7,8,5,3,6,2,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,6,4,2,7,1,3] => [7,4,1,6,8,5,2,3] => [4,8,2,7,6,1,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,4,8,1,6,3] => [8,7,6,2,5,1,4,3] => [5,6,7,2,8,4,1,3] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[2,7,5,8,1,4,6,3] => [8,2,6,1,7,4,5,3] => [2,6,8,3,7,4,1,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,2,7,3,8,1,6,4] => [8,5,7,6,2,1,3,4] => [5,8,6,7,3,4,2,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,6,4,1,3,7,2] => [4,6,2,7,8,5,3,1] => [8,7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,7,8,2,5,4] => [6,8,1,5,2,3,7,4] => [6,5,2,7,4,3,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,3,6,7,8,2,5,4] => [1,8,3,5,2,6,7,4] => [1,3,5,6,4,7,8,2] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[3,2,6,7,8,4,1,5] => [4,3,2,8,1,6,7,5] => [3,6,1,4,2,7,8,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[2,6,1,7,8,3,5,4] => [6,2,8,5,3,1,7,4] => [2,6,5,7,3,4,8,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,1,3,8,5,4,2] => [7,4,1,5,8,6,3,2] => [4,7,2,6,5,8,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,7,1,8,5,2,4,3] => [7,5,4,2,8,6,1,3] => [4,6,7,2,5,8,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,6,4,7,8,3,2,5] => [1,3,8,6,2,4,7,5] => [1,6,3,7,4,5,8,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,4,6,7,8,3,2,5] => [1,3,8,4,2,6,7,5] => [1,4,3,6,2,7,8,5] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[7,5,1,2,4,6,3,8] => [5,1,7,3,6,4,2,8] => [7,1,5,2,6,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,1,3,2,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[5,4,1,2,3,6,7,8,9] => [4,1,2,5,3,6,7,8,9] => [5,1,2,4,3,6,7,8,9] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[4,1,3,2,5,6,7,8,9,10] => [4,3,1,2,5,6,7,8,9,10] => [3,4,2,1,5,6,7,8,9,10] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[8,7,2,1,5,4,6,3] => [2,7,6,5,1,4,8,3] => [5,2,6,8,4,1,7,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[6,8,7,2,5,4,1,3] => [4,5,2,7,1,6,8,3] => [6,5,1,4,3,8,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,1,2,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[6,1,2,3,4,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[3,1,2,4,5,6,7,8,9,10,11,12] => [3,1,2,4,5,6,7,8,9,10,11,12] => [3,1,2,4,5,6,7,8,9,10,11,12] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,6,4,8,7,5,1] => [5,3,2,7,6,1,8,4] => [3,8,1,5,6,4,7,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,8,2,5,7,6,1] => [6,7,4,3,1,8,5,2] => [7,4,8,1,3,6,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,1,2,6,8,7,5,3] => [4,1,5,2,7,6,8,3] => [6,1,4,3,5,8,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,1,6,4,8,7,2,5] => [3,7,1,6,2,4,8,5] => [6,3,2,8,4,5,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,1,8,3,5,2,7,6] => [4,5,8,1,3,7,2,6] => [7,5,4,3,1,8,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,8,2,4,5,7,6,1] => [6,7,3,1,4,8,5,2] => [7,3,8,2,1,6,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,2,8,5,7,1,3,6] => [7,4,1,2,8,3,5,6] => [4,8,2,3,7,5,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,5,6,2,8] => [4,7,2,6,3,5,1,8] => [7,4,1,6,2,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,4,7,1,5,6,8,2] => [7,8,3,4,1,5,6,2] => [4,3,7,8,2,1,5,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[2,4,8,5,3,6,7,1] => [7,2,5,4,8,3,6,1] => [2,4,7,8,5,1,3,6] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[4,3,5,2,8,6,7,1] => [7,5,4,3,2,8,6,1] => [4,5,8,1,2,7,3,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,8,5,3,2,6,7,1] => [7,3,5,4,8,2,6,1] => [3,7,4,8,5,1,2,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,6,7,4,2,8,3,1] => [3,8,4,7,5,6,1,2] => [6,3,4,5,7,8,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[7,5,2,4,3,8,6,1] => [6,5,4,1,8,7,3,2] => [4,6,8,3,5,7,1,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[6,4,1,8,5,2,7,3] => [4,6,5,8,7,2,1,3] => [8,5,7,4,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,8,5,4,7,2] => [3,7,1,5,8,6,4,2] => [6,3,2,7,5,8,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[2,3,5,8,4,6,7,1] => [7,2,3,8,5,4,6,1] => [2,3,7,5,8,1,4,6] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[3,5,2,8,4,6,7,1] => [7,5,3,8,2,4,6,1] => [3,7,8,5,2,1,4,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[5,4,2,8,3,6,7,1] => [7,4,5,8,3,2,6,1] => [5,8,7,4,1,2,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,5,4,8,3,6,7,1] => [7,2,8,5,4,3,6,1] => [2,7,5,8,1,3,4,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,8,3,5,4,7,2] => [6,7,8,5,3,1,4,2] => [7,6,5,8,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,5,6,4,1,8,3] => [4,6,7,8,3,5,2,1] => [8,7,6,4,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,1,4,6,8,3] => [5,7,8,1,2,4,6,3] => [8,7,5,3,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,6,4,7,1,3] => [7,8,1,6,2,5,4,3] => [7,6,2,8,4,1,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,4,6,8,3,2,5,1] => [5,3,8,7,2,4,6,1] => [5,8,3,7,2,1,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,5,8,6,3,7,2,4] => [1,7,6,2,5,8,3,4] => [1,5,7,3,8,6,4,2] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,4,6,8,3,2,7,5] => [1,3,8,4,7,6,2,5] => [1,4,3,6,7,8,5,2] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[7,5,6,1,2,3,8,4] => [6,1,2,8,7,5,3,4] => [8,1,2,6,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,6,3,2,8,4] => [1,3,6,7,5,8,4,2] => [1,7,3,5,8,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,7,5,2,1,6,8,4] => [2,5,3,7,8,4,6,1] => [3,2,8,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[8,5,2,6,3,4,1,7] => [4,5,8,2,6,3,1,7] => [8,5,4,2,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,7,5,2,8,6] => [4,5,3,1,7,8,2,6] => [4,3,8,2,5,7,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,1,7,8,5,4,2,6] => [3,4,1,5,8,2,7,6] => [7,3,2,4,5,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,4,5,2,1,8,6,7] => [2,5,3,4,1,8,6,7] => [3,2,4,5,1,8,6,7] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[7,4,8,5,6,1,2,3] => [6,1,2,7,8,5,4,3] => [8,1,2,7,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,1,3,6,2,8] => [4,7,2,6,5,3,1,8] => [6,4,1,5,7,2,3,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,5,4,6,3,8,2,7] => [1,8,6,5,4,3,2,7] => [1,5,6,8,2,3,4,7] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,8,6,4,7,3,2,5] => [1,3,7,6,2,8,4,5] => [1,7,3,8,4,6,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,7,1,8,6,3,5,2] => [7,5,6,4,3,8,1,2] => [4,7,5,8,1,6,3,2] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[5,4,8,1,7,3,6,2] => [8,6,7,5,4,3,1,2] => [5,7,6,8,1,2,4,3] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[4,3,8,6,2,1,7,5] => [2,6,4,3,8,7,5,1] => [4,2,8,1,6,7,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,3,6,2,4,1,7,5] => [4,6,8,2,7,3,1,5] => [8,6,4,2,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,1,7,4,2,5] => [8,4,3,7,2,6,1,5] => [3,4,7,6,1,8,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[2,7,5,4,8,3,1,6] => [3,2,8,5,7,1,4,6] => [2,5,3,8,7,4,6,1] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,8,7,5,2,1,3,4] => [2,5,1,3,7,6,8,4] => [6,2,1,3,5,8,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,7,8,5,6,2,3,1] => [3,6,2,4,8,5,7,1] => [4,3,1,7,6,2,8,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[2,7,8,5,6,1,4,3] => [6,2,4,1,8,5,7,3] => [2,4,7,3,6,1,8,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,7,8,4,2,1,5,3] => [2,4,8,5,3,6,7,1] => [6,2,4,5,1,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[4,7,8,1,2,5,6,3] => [8,1,6,4,2,5,7,3] => [4,1,6,7,3,2,8,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[6,1,4,7,2,5,8,3] => [6,7,8,1,2,4,5,3] => [8,7,6,3,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,5,4,2,1] => [2,4,5,8,1,6,7,3] => [6,2,5,4,3,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,6,2,1,7,5,4,3] => [2,6,4,5,8,7,3,1] => [4,2,8,6,5,7,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,2,4,7,1,5,3,6] => [7,8,5,2,1,3,4,6] => [7,5,8,2,4,3,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,2,7,3,6,8,4,1] => [4,8,5,7,3,1,6,2] => [8,4,7,5,1,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,1,2,8,3,4] => [6,1,8,3,7,5,2,4] => [8,1,6,2,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,8,6,2,7,3] => [4,6,8,1,5,7,3,2] => [6,5,4,3,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,5,2,4,3,6,1,7] => [6,5,4,2,8,3,1,7] => [4,6,8,2,5,1,3,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[8,5,7,2,4,1,6,3] => [4,7,6,2,8,1,5,3] => [8,4,7,2,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,5,8,1,4,3] => [8,2,4,1,7,6,5,3] => [2,4,6,3,7,8,1,5] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[2,6,7,5,8,3,4,1] => [4,2,8,3,7,6,5,1] => [2,6,4,1,7,8,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[2,5,8,7,6,3,4,1] => [4,2,6,3,5,7,8,1] => [2,5,4,1,8,6,7,3] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[7,3,2,4,1,6,5,8] => [4,3,7,2,6,1,5,8] => [4,6,3,1,7,5,2,8] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[8,3,2,7,5,4,6,1] => [6,3,8,5,7,4,2,1] => [5,7,3,8,6,1,2,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[2,3,6,7,8,5,1,4] => [5,2,3,1,8,6,7,4] => [2,3,6,1,5,7,8,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[5,7,4,1,6,8,2,3] => [4,7,1,8,5,2,6,3] => [7,5,2,4,8,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,5,8,3,6,2,4,7] => [1,6,8,2,5,3,4,7] => [1,6,5,3,8,4,2,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,8,2,5,6,3,1,4] => [3,6,8,2,1,5,7,4] => [7,6,3,1,4,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,8,1,6,7,4,2,3] => [8,4,2,7,5,1,6,3] => [4,7,1,5,8,3,2,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,6,7,2,3,1,8,5] => [3,7,2,4,8,6,1,5] => [4,3,1,7,6,8,5,2] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[7,2,6,5,1,3,8,4] => [5,6,2,7,8,4,3,1] => [8,7,1,6,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,3,1,7,4,6] => [3,8,5,7,1,4,2,6] => [8,3,5,7,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,4,6,7,3,5] => [1,2,7,8,3,4,6,5] => [1,2,8,7,4,5,3,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,2,5,7,3,4,1,6] => [4,8,7,3,2,1,5,6] => [8,4,7,1,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,8,3,1,4,6] => [3,8,5,2,7,4,1,6] => [8,3,5,1,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,5,4,7,2,3] => [1,7,2,5,6,8,4,3] => [1,5,2,8,7,6,3,4] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[5,8,6,1,4,7,2,3] => [6,8,1,2,5,7,4,3] => [6,5,2,3,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,1,6,8,7,3,2,5] => [4,3,7,1,2,6,8,5] => [4,6,3,2,1,8,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[5,1,4,6,7,3,8,2] => [5,8,7,1,4,6,3,2] => [7,5,6,3,1,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,1,6,2,5,7,8,3] => [4,6,8,1,2,5,7,3] => [7,6,4,3,2,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,5,3,7,2,4,8,6] => [1,7,5,2,3,8,4,6] => [1,5,8,3,4,7,6,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,7,1,4,6,3,2,5] => [7,3,6,1,2,4,8,5] => [3,8,6,2,4,5,7,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,3,6,8,2,4] => [7,8,1,2,5,3,6,4] => [7,5,2,3,8,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,2,8,4,7,1,3] => [7,5,1,6,8,4,2,3] => [6,8,2,7,5,1,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,4,7,5,8,6,3,2] => [1,3,6,4,8,7,2,5] => [1,4,3,8,6,7,5,2] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[8,5,7,2,3,6,1,4] => [6,7,2,1,8,3,5,4] => [8,7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,3,4,7,2,5] => [6,7,8,3,2,1,4,5] => [8,7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,3,5,2,7,4] => [1,5,6,8,4,7,2,3] => [1,8,6,5,2,7,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,6,8,3,5,2] => [7,5,8,4,3,1,6,2] => [5,7,4,8,1,3,2,6] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[3,5,8,2,6,4,1,7] => [4,6,3,8,5,1,2,7] => [5,3,6,4,8,2,1,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[7,2,8,3,5,4,1,6] => [4,5,7,8,1,2,3,6] => [8,7,5,4,3,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,5,3,8,7,6] => [2,4,5,1,3,7,8,6] => [5,2,4,3,1,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => [1,4,7,3,2,8,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[7,1,8,4,2,5,3,6] => [7,4,8,5,3,2,1,6] => [5,8,4,7,1,2,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,1,8,6,5,7,3,2] => [4,3,7,1,6,8,5,2] => [4,7,3,2,8,6,1,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,4,6,2,5,8,1,3] => [8,6,1,7,2,4,5,3] => [6,8,2,7,4,3,1,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,3,4,2,6,1,5] => [6,4,7,3,1,2,8,5] => [6,8,4,1,3,5,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,2,3,4,7,1,5,8] => [7,6,2,3,1,4,5,8] => [6,7,1,2,4,5,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[6,2,1,3,8,7,4,5] => [2,6,1,7,4,3,8,5] => [8,2,1,6,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,7,3,4,2,6] => [1,4,7,3,5,2,8,6] => [1,5,4,2,8,3,7,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,8,7,3,2,5,4,6] => [1,3,7,5,2,4,8,6] => [1,5,3,8,4,2,7,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,2,5,4,8,7,3,6] => [1,2,7,5,4,3,8,6] => [1,2,5,8,3,4,7,6] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,4,8,6,3,5,7] => [1,2,6,4,3,8,5,7] => [1,2,4,8,3,6,5,7] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,5,2,4,7,3,8,6] => [1,5,7,2,4,8,3,6] => [1,8,5,3,2,7,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,1,8,6,3,5] => [4,2,7,6,1,8,3,5] => [2,8,4,7,3,6,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,3,5,7,4,1,2] => [4,1,7,6,2,8,5,3] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,2,1,4,7,6] => [2,3,5,1,8,7,4,6] => [7,2,3,1,5,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,7,6,8,5,3,2,4] => [1,3,5,2,8,7,6,4] => [1,7,3,2,5,8,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,3,2,5,7,8,4] => [1,3,6,8,2,5,7,4] => [1,7,3,6,4,2,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,7,3,4,2,6,8,5] => [1,4,7,3,8,2,6,5] => [1,8,4,2,7,5,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,3,2,8,4,7] => [1,3,6,8,5,2,4,7] => [1,6,3,5,8,4,2,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,2,5,8,4,6,3,7] => [1,2,6,8,5,4,3,7] => [1,2,6,5,8,3,4,7] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[3,1,8,5,2,6,4,7] => [3,5,1,8,6,4,2,7] => [8,3,2,5,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,6,2,3,7,5] => [4,6,2,1,8,7,5,3] => [8,4,1,3,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,4,3,8,5,2] => [1,5,4,8,6,7,2,3] => [1,5,8,4,6,7,3,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,8,5,7,6,3,2,4] => [1,3,6,2,7,8,4,5] => [1,8,3,2,7,6,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,3,6,8,5,2] => [1,5,8,4,7,2,6,3] => [1,5,4,8,7,3,2,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,5,6,3,2,7,8,4] => [1,3,6,8,5,2,7,4] => [1,6,3,5,7,4,8,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,2,7,6,8,4,5,3] => [1,2,5,8,4,7,6,3] => [1,2,7,5,3,8,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,8,4,7,5,3,2,6] => [1,3,5,7,8,4,2,6] => [1,8,3,7,5,2,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,5,2,1,7,4,3] => [2,5,4,8,7,6,3,1] => [5,2,7,4,6,8,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[2,8,5,6,3,1,7,4] => [3,2,6,7,8,5,1,4] => [2,8,3,7,6,1,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,8,4,3,7,5] => [1,2,4,8,7,6,3,5] => [1,2,6,4,7,8,5,3] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[5,3,8,2,6,1,7,4] => [6,8,5,7,3,2,1,4] => [7,5,8,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,5,2,8,6,1,3,4] => [6,5,2,3,8,7,1,4] => [6,8,1,2,5,7,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,2,7,1,6,3,5] => [7,4,8,6,2,1,3,5] => [6,8,4,7,2,5,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,8,4,3,1,5,6,2] => [3,4,8,6,1,5,7,2] => [7,4,3,6,2,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,7,6,1,5,4,2,3] => [6,4,2,5,1,7,8,3] => [4,8,1,5,3,6,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,2,7,1,5,3,4] => [7,6,5,3,1,8,2,4] => [5,7,8,1,4,6,3,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[5,3,7,2,8,1,6,4] => [8,7,5,6,3,1,2,4] => [5,6,8,7,2,4,3,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[8,7,6,1,2,5,4,3] => [6,1,4,5,2,7,8,3] => [4,1,8,5,3,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,7,6,1,4,2,5,3] => [6,4,5,1,2,7,8,3] => [4,8,5,3,2,6,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,7,1,5,3,2,4] => [7,3,5,2,1,8,6,4] => [3,8,5,1,4,7,2,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,8,3,4,6,1,2] => [6,1,8,3,5,4,7,2] => [6,1,5,2,7,3,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[7,5,1,3,4,2,6,8] => [5,4,1,3,7,2,6,8] => [4,7,2,1,5,3,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,5,7,3,8,2,6,4] => [1,8,7,6,5,2,3,4] => [1,5,6,7,8,4,3,2] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[7,1,5,3,6,2,4,8] => [7,6,5,2,1,3,4,8] => [5,6,7,2,4,3,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,7,8,5,3,6,2,4] => [1,6,5,2,8,3,7,4] => [1,6,7,3,5,4,8,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,3,4,7,8,1,2,6] => [8,1,5,3,4,2,7,6] => [5,1,7,2,3,4,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[5,3,7,6,8,1,2,4] => [8,1,5,2,3,7,6,4] => [5,1,7,3,4,8,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[3,1,2,7,5,8,4,6] => [3,1,2,8,7,4,5,6] => [3,1,2,7,8,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[3,1,2,5,7,8,6,4] => [3,1,2,6,5,8,7,4] => [3,1,2,5,7,6,8,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[7,3,1,5,4,6,2,8] => [3,7,6,5,2,4,1,8] => [6,3,5,7,2,1,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[3,7,1,2,8,5,6,4] => [7,1,3,6,8,5,2,4] => [3,1,7,8,6,2,5,4] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[5,3,1,7,4,6,8,2] => [3,5,8,7,2,4,6,1] => [8,5,3,7,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,1,2,6,8,4] => [7,1,5,8,3,2,6,4] => [7,1,8,5,3,4,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,5,7,4,6,3,1,8] => [3,2,6,7,5,4,1,8] => [2,6,3,5,7,1,4,8] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[5,7,6,4,2,3,1,8] => [3,4,2,6,5,7,1,8] => [5,3,1,4,7,6,2,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[7,4,8,2,5,6,1,3] => [6,8,1,7,2,5,4,3] => [8,6,2,7,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,8,5,2,7,3] => [6,5,8,1,7,4,3,2] => [7,8,5,3,6,1,2,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,5,1,8,2,6,7,3] => [5,8,7,4,1,2,6,3] => [7,4,5,8,3,2,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,1,2,4,6,7,3] => [8,1,7,2,5,4,6,3] => [5,1,7,3,8,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,8,7,4,2,1,5,3] => [2,4,7,5,3,6,8,1] => [6,2,4,5,1,8,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,4,8,1,2,6,7,3] => [8,1,7,5,4,2,6,3] => [5,1,7,8,2,4,3,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,1,5,8,2,6,7,3] => [4,8,7,1,5,2,6,3] => [7,4,5,3,8,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,8,2,4,6,7,3] => [5,8,7,2,1,4,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,2,4,6,7,5] => [8,1,3,2,7,4,6,5] => [3,1,7,2,8,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[2,3,5,7,1,6,4,8] => [7,2,3,6,5,1,4,8] => [2,3,5,6,7,4,1,8] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[8,6,2,7,5,1,4,3] => [5,7,4,2,6,8,1,3] => [5,4,8,2,7,6,3,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,7,3,2,6,1,4,8] => [6,3,7,1,5,2,4,8] => [5,6,3,2,7,4,1,8] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[8,6,5,3,7,4,2,1] => [2,4,7,5,6,8,1,3] => [8,2,4,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,4,6,3,7,2] => [8,7,6,5,1,4,3,2] => [5,6,7,8,4,1,2,3] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[8,4,6,3,1,7,2,5] => [3,6,7,8,1,4,2,5] => [8,7,3,6,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,7,5,4,3,1] => [3,4,5,7,6,8,1,2] => [8,5,3,4,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,2,8,6,1,3] => [6,8,2,5,4,7,1,3] => [6,5,1,8,2,7,4,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,7,1,8,6,5,4,3] => [7,2,4,5,6,8,1,3] => [2,4,8,5,7,6,3,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,6,4,2,1,3,5,7,9] => [2,4,1,6,3,8,5,7,9] => [8,2,1,4,3,6,5,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[10,8,6,4,2,1,3,5,7,9] => [2,4,1,6,3,8,5,10,7,9] => [10,2,1,4,3,6,5,8,7,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,7,8,3,1,4,5,6] => [3,2,8,1,4,5,7,6] => [2,7,3,1,4,5,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,7,8,5,3,2,6,4] => [1,3,5,8,6,4,7,2] => [1,7,3,5,6,2,8,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,5,3,2,8,6,7,4] => [1,3,5,7,2,8,6,4] => [1,8,3,5,4,7,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,6,3,2,7,4] => [1,3,6,7,8,5,2,4] => [1,8,3,7,6,2,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,8,6,7,3,2,4] => [1,3,7,2,5,8,6,4] => [1,5,3,2,8,7,4,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,5,6,7,3,2,8,4] => [1,3,7,8,5,6,2,4] => [1,6,3,5,7,8,4,2] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,7,8,5,2,4,6,3] => [1,5,8,3,6,4,7,2] => [1,7,5,2,6,3,8,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,8,5,2,4,6,7,3] => [1,5,8,3,7,4,6,2] => [1,8,5,2,7,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,8,3,2,4,5] => [1,3,8,2,4,6,7,5] => [1,6,3,2,4,7,8,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,4,8,6,2,3,5,7] => [1,6,2,4,3,8,5,7] => [1,4,2,8,3,6,5,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,7,8,3,2,4,5,6] => [1,3,8,2,4,5,7,6] => [1,7,3,2,4,5,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,4,5,8,6,7,2,3] => [1,7,2,4,5,8,6,3] => [1,4,2,5,8,7,3,6] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,8,4,5,6,7,2,3] => [1,7,2,8,4,5,6,3] => [1,8,2,7,3,4,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,6,7,4,3,5] => [1,2,4,7,3,8,6,5] => [1,2,8,4,3,7,5,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,6,3,4,5,7] => [1,2,6,3,4,8,5,7] => [1,2,8,3,4,6,5,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,6,3,5,7,4] => [1,2,6,8,4,7,5,3] => [1,2,8,6,3,7,4,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,4,3,8,5,6] => [1,2,4,7,8,5,3,6] => [1,2,8,4,7,3,6,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,8,4,3,5,6] => [1,2,4,8,3,5,7,6] => [1,2,7,4,3,5,8,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,8,6,7,4,2,3,5] => [1,4,2,7,3,8,6,5] => [1,8,2,4,3,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,3,5,2,8,4] => [1,5,7,8,3,6,2,4] => [1,7,6,5,3,8,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,7,8,5,6,2,3,4] => [1,6,2,3,8,5,7,4] => [1,7,2,3,6,4,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,8,6,2,3,5,7,4] => [1,6,2,8,4,7,5,3] => [1,8,2,6,3,7,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,2,3,8,5,6] => [1,4,2,7,8,5,3,6] => [1,8,2,4,7,3,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,8,4,2,3,5,6] => [1,4,2,8,3,5,7,6] => [1,7,2,4,3,5,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,7,8,3,4,2,5,6] => [1,4,8,3,2,5,7,6] => [1,7,4,2,3,5,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,5,8,6,7,2,3,4] => [1,7,2,3,5,8,6,4] => [1,5,2,3,8,7,4,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,2,3,7,8,5,4,6] => [1,2,3,5,8,4,7,6] => [1,2,3,7,5,4,8,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,7,8,4,5,2,3,6] => [1,5,2,8,4,3,7,6] => [1,7,2,5,3,4,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,7,8,3,4,5,2,6] => [1,5,8,3,4,2,7,6] => [1,7,5,2,3,4,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,2,8,4,5,6,3,7] => [1,2,6,8,4,5,3,7] => [1,2,8,6,3,4,5,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,8,4,5,6,2,3,7] => [1,6,2,8,4,5,3,7] => [1,8,2,6,3,4,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,7,5,2,6,1,4] => [6,5,3,1,7,2,8,4] => [3,6,8,2,5,4,7,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[8,2,3,6,4,5,1,7] => [5,8,2,6,4,3,1,7] => [8,5,1,6,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,7,8,5,1,6] => [5,4,3,2,8,1,7,6] => [3,4,7,1,5,2,8,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[5,8,4,2,6,7,3,1] => [3,7,4,8,5,1,6,2] => [7,3,5,4,8,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,3,8,1,6,7,4,2] => [8,4,7,5,2,1,6,3] => [4,8,5,7,2,3,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,2,8,1,6,4,7,3] => [8,5,7,6,2,1,4,3] => [5,8,6,7,3,4,1,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,8,2,1,3,7,6,4] => [2,8,1,6,5,7,3,4] => [5,2,1,6,8,7,4,3] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[8,3,4,1,2,6,5,7] => [4,1,8,3,6,2,5,7] => [6,1,4,2,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,1,8,4,6,2,7,5] => [3,6,1,8,7,4,2,5] => [8,3,2,6,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,6,4,3,5,2] => [1,5,4,6,3,7,8,2] => [1,5,8,4,2,6,7,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,1,8,7,5,3,4,2] => [6,4,5,3,7,1,8,2] => [4,8,6,1,5,3,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,7,5,8,1,6] => [8,3,2,4,7,1,5,6] => [3,4,1,7,8,5,6,2] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[2,8,7,6,5,3,1,4] => [3,2,5,1,6,7,8,4] => [2,8,3,1,5,6,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,7,6,4,1,5,2] => [4,6,3,5,2,7,8,1] => [4,3,8,5,1,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,8,7,6,4,2,5,1] => [5,4,3,6,2,7,8,1] => [3,5,8,4,1,6,7,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[4,8,7,6,3,1,5,2] => [3,6,5,4,2,7,8,1] => [5,3,4,8,1,6,7,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,3,5,2,8,4,6,1] => [6,5,7,8,3,4,2,1] => [7,8,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,2,7,5,4,8,6,1] => [6,3,2,5,8,7,1,4] => [3,6,1,8,5,7,4,2] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,5,2,4,8,6,1] => [6,5,3,1,8,7,4,2] => [3,6,8,2,5,7,1,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[8,3,5,1,6,4,7,2] => [5,7,8,6,3,1,4,2] => [8,6,5,7,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,6,1,3,7,2] => [6,7,1,8,4,5,3,2] => [8,7,2,6,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,4,1,3,6,7] => [4,8,2,5,1,3,6,7] => [8,4,1,5,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,1,8,2,5,3] => [4,6,7,5,2,8,3,1] => [8,5,4,7,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,4,8,5,7,6] => [2,1,3,4,8,7,5,6] => [2,1,3,4,7,8,6,5] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,2,4,5,6,9,8,7] => [1,3,2,4,5,6,8,9,7] => [1,3,2,4,5,6,9,8,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,4,5,6,7,8,11,10,9] => [1,2,3,4,5,6,7,8,10,11,9] => [1,2,3,4,5,6,7,8,11,10,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[3,7,4,5,2,8,1,6] => [8,5,3,7,4,1,2,6] => [3,5,8,7,1,4,6,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,5,7,4,1,8,2,6] => [4,7,3,8,5,1,2,6] => [5,3,7,4,8,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[2,5,4,6,8,3,1,7] => [3,2,8,5,4,6,1,7] => [2,5,3,6,1,8,4,7] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,6,2,5,8,7,4,3] => [1,6,4,7,2,5,8,3] => [1,6,8,4,3,2,7,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,3,1,8,5,4,6,2] => [3,7,6,5,8,4,2,1] => [7,3,6,8,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,4,3,1,6,5,2,7] => [3,4,8,5,6,1,2,7] => [8,4,3,5,6,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,2,3,1,5,7] => [3,8,2,6,1,4,5,7] => [6,3,1,8,4,5,2,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,1,5,6,3,4,7,2] => [8,7,6,3,1,5,4,2] => [6,7,8,1,4,2,3,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[2,8,5,7,6,3,1,4] => [3,2,6,1,7,8,4,5] => [2,8,3,1,7,6,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,3,1,7,6,4,2] => [3,5,4,8,6,7,1,2] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,6,1,4,7,2] => [6,7,8,1,3,5,4,2] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,3,6,2,7,1] => [7,6,8,4,5,3,2,1] => [5,6,4,7,8,1,2,3] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[5,1,6,4,8,7,3,2] => [5,3,7,6,1,4,8,2] => [5,8,3,6,4,1,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,2,3,4,6,9,5,7] => [8,1,2,3,9,4,5,6,7] => [9,1,2,3,8,5,6,7,4] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,1,2,4,6,9,3,5,7] => [8,1,9,2,3,4,5,6,7] => [9,1,8,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,1,2,3,4,5,7,10,6,8] => [9,1,2,3,4,10,5,6,7,8] => [10,1,2,3,4,9,6,7,8,5] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,3,1,2,5,8,4,6] => [3,1,7,8,2,4,5,6] => [8,1,3,7,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,2,1,4,6] => [2,7,8,1,3,4,5,6] => [8,2,7,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,8,5,7,4,6] => [2,1,3,7,8,4,5,6] => [2,1,3,8,7,5,6,4] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[9,1,3,5,7,10,2,4,6,8] => [9,10,1,2,3,4,5,6,7,8] => [10,9,2,3,4,5,6,7,8,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[5,4,1,6,3,7,8,2] => [4,5,8,6,2,1,7,3] => [7,6,4,5,2,3,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,5,1,3,6,7,8,2] => [5,8,1,4,3,6,7,2] => [5,4,2,6,1,7,8,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[5,1,7,6,3,4,8,2] => [5,8,6,3,1,7,4,2] => [8,5,6,1,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,2,7,4,5,3] => [1,8,5,7,4,6,2,3] => [1,5,7,6,2,8,4,3] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[5,7,2,1,8,4,3,6] => [2,7,4,8,5,3,1,6] => [5,2,7,4,8,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,6,2,1,8,3,4,7] => [2,6,8,3,5,1,4,7] => [6,2,5,1,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,2,4,7,8,1,3,5] => [8,6,1,2,3,4,7,5] => [6,7,2,3,4,5,8,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[3,7,8,6,4,2,5,1] => [5,4,3,6,2,8,7,1] => [3,5,7,4,1,6,8,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[6,2,8,4,7,5,1,3] => [5,7,2,6,8,4,1,3] => [8,6,1,7,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,7,2,6,8,5,3] => [1,7,5,4,8,2,6,3] => [1,4,7,8,5,3,2,6] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[3,2,7,6,4,1,5,8] => [4,3,2,6,1,7,5,8] => [3,7,1,4,2,6,5,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,8,1,2,5,6,4,3] => [8,1,4,6,2,5,7,3] => [4,1,7,6,3,2,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[7,1,3,6,8,5,2,4] => [7,5,1,2,8,3,6,4] => [7,8,2,3,5,4,1,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,5,8,1,4,2,3,7] => [8,4,2,1,6,5,3,7] => [4,6,1,3,8,2,5,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[2,3,1,4,8,5,7,6] => [3,2,1,4,8,7,5,6] => [2,3,1,4,7,8,6,5] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[4,2,6,1,5,8,7,3] => [6,4,7,2,1,5,8,3] => [6,8,4,2,3,1,7,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,5,1,8,4,3,6,2] => [5,7,4,6,8,1,2,3] => [7,4,8,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,1,8,5,7,6,4,2] => [3,4,1,6,7,8,2,5] => [8,3,2,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,2,5,1,4,3] => [5,7,4,1,2,6,8,3] => [5,4,6,3,2,8,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[6,2,8,7,4,1,3,5] => [4,7,2,6,3,1,8,5] => [8,4,1,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,8,7,1,4,3] => [7,6,4,1,2,5,8,3] => [4,6,8,3,2,1,7,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[3,5,7,6,1,8,4,2] => [6,4,3,7,5,8,2,1] => [3,5,7,4,8,6,1,2] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[3,5,7,6,2,8,4,1] => [4,8,3,6,5,7,1,2] => [4,3,6,5,8,7,2,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[2,5,7,6,1,8,3,4] => [6,2,7,1,5,8,3,4] => [2,7,5,3,8,6,4,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,5,3,8,7,6,4,1] => [4,2,6,5,1,7,8,3] => [2,8,4,5,3,6,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,8,7,6,4] => [1,3,5,6,2,7,8,4] => [1,8,3,5,4,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,8,7,5,2,6] => [4,5,3,1,7,2,8,6] => [4,3,8,2,5,1,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,4,1,8,7,5,2,3] => [4,6,1,5,7,2,8,3] => [8,4,2,6,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,5,1,7,3,6] => [5,4,8,2,7,1,3,6] => [5,8,4,2,7,3,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,3,6,2,8,7,4,1] => [4,7,6,5,1,3,8,2] => [8,4,5,6,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,1,3,7,6,5] => [4,2,1,8,6,7,3,5] => [2,6,1,4,8,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,7,1,8,3,6,5,4] => [7,2,8,5,6,3,1,4] => [2,6,5,8,7,3,4,1] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,2,1,7,4,8,6,3] => [2,5,6,8,1,7,3,4] => [8,2,6,5,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,3,7,6,4,5] => [8,2,1,6,4,7,3,5] => [2,6,1,8,3,7,5,4] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,6,8,1,4,3,5] => [8,7,4,1,3,2,6,5] => [4,7,8,3,1,5,2,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[5,3,6,2,8,4,7,1] => [7,6,5,8,3,2,4,1] => [6,7,8,5,2,3,1,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,1,6,3,7,4,5,2] => [8,5,6,7,4,1,3,2] => [5,8,7,6,1,4,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,8,3,1,5,7,6,2] => [3,8,6,4,2,7,5,1] => [6,3,4,8,1,7,2,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,3,8,2,7,1,6,4] => [7,8,5,6,3,1,2,4] => [6,5,8,7,2,4,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,2,7,1,6,5,3,4] => [7,8,5,3,6,1,2,4] => [6,5,8,1,7,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,3,4,8,2,7,1,6] => [7,8,5,3,4,1,2,6] => [7,5,8,1,2,4,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,3,4,7,1,8,2] => [7,8,5,3,6,4,1,2] => [6,5,8,1,7,2,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,1,5,3,4,6,8,2] => [7,8,5,3,1,4,6,2] => [7,5,8,1,4,2,3,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,6,7,1,5,3,4] => [7,8,5,3,1,2,6,4] => [7,5,8,1,4,3,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,3,4,7,1,5,2,6] => [7,5,8,3,1,2,4,6] => [7,8,5,1,4,3,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,5,2,6,3,4,8] => [7,5,6,3,1,2,4,8] => [5,7,6,1,4,3,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[3,7,1,5,2,6,8,4] => [7,5,3,8,1,2,6,4] => [3,7,8,5,4,2,1,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,6,8,3,4,5,2] => [7,5,8,3,4,1,6,2] => [7,8,5,1,2,4,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,7,1,6,3,4,5,2] => [7,5,6,3,4,1,8,2] => [5,8,6,1,2,4,7,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,8,7,1,5,2,6,4] => [7,5,3,6,1,2,8,4] => [3,5,8,6,4,2,7,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,4,8,7,1,5,2,6] => [7,5,3,4,1,2,8,6] => [3,4,5,8,2,1,7,6] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[3,6,7,1,8,4,5,2] => [7,5,3,8,4,6,1,2] => [3,6,7,5,1,8,4,2] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[3,7,1,6,8,4,5,2] => [7,5,3,8,4,1,6,2] => [3,7,8,5,1,4,2,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,8,4,6,7,1,5,2] => [7,5,3,8,1,4,6,2] => [3,7,8,5,4,1,2,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,7,1,4,8,5,2,6] => [7,5,3,1,8,2,4,6] => [3,7,8,2,5,4,6,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,6,5,2,7,1,4,8] => [7,5,3,1,6,2,4,8] => [3,5,7,2,6,4,1,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[3,7,1,4,6,5,2,8] => [7,5,3,1,6,4,2,8] => [3,5,7,2,6,1,4,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[3,7,1,8,4,6,5,2] => [7,5,3,6,8,2,1,4] => [3,6,8,7,5,2,4,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,7,1,6,4,5,2,8] => [7,5,3,6,4,1,2,8] => [3,5,7,6,1,4,2,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[3,8,4,5,2,7,1,6] => [7,5,3,8,4,1,2,6] => [3,7,8,5,1,4,6,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,7,1,6,5,2,8,4] => [7,5,3,6,8,1,4,2] => [3,6,8,7,5,4,1,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,8,4,6,3,5,2] => [7,5,6,8,3,4,1,2] => [6,8,7,5,2,1,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,4,8,5,2,7,1,6] => [7,5,3,4,8,1,2,6] => [3,4,7,8,5,2,6,1] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[3,4,6,7,1,5,2,8] => [7,5,3,4,1,6,2,8] => [3,4,5,6,2,7,1,8] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[7,1,5,2,8,6,3,4] => [7,5,6,3,1,8,2,4] => [5,8,7,1,4,6,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,3,4,7,1,5,2] => [7,5,6,3,1,8,4,2] => [5,8,7,1,4,6,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,7,1,6,4,8,5,2] => [7,5,3,8,6,1,2,4] => [3,6,8,5,7,4,2,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,7,1,4,8,6,5,2] => [7,5,3,1,6,8,4,2] => [3,5,8,2,7,6,1,4] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,6,7,1,4,5,2,8] => [7,5,3,1,4,6,2,8] => [3,5,6,2,1,7,4,8] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[3,5,2,6,7,1,4,8] => [7,5,3,1,2,6,4,8] => [3,5,6,2,4,7,1,8] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[3,5,2,8,6,7,1,4] => [7,5,3,1,2,8,6,4] => [3,5,8,2,4,7,1,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,6,8,7,1,4,5,2] => [7,5,3,1,4,6,8,2] => [3,5,6,2,1,8,7,4] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[3,5,2,6,8,7,1,4] => [7,5,3,1,2,6,8,4] => [3,5,6,2,4,8,7,1] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[2,1,4,3,6,5,8,7,11,12,9,10] => [2,1,4,3,6,5,8,7,12,9,11,10] => [2,1,4,3,6,5,8,7,11,9,12,10] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[2,1,4,3,6,5,9,10,7,8,12,11] => [2,1,4,3,6,5,10,7,9,8,12,11] => [2,1,4,3,6,5,9,7,10,8,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[2,1,4,3,7,8,5,6,10,9,12,11] => [2,1,4,3,8,5,7,6,10,9,12,11] => [2,1,4,3,7,5,8,6,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,7,8,5,6,11,12,9,10] => [2,1,4,3,8,5,7,6,12,9,11,10] => [2,1,4,3,7,5,8,6,11,9,12,10] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[2,1,5,6,3,4,8,7,10,9,12,11] => [2,1,6,3,5,4,8,7,10,9,12,11] => [2,1,5,3,6,4,8,7,10,9,12,11] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,5,6,3,4,8,7,11,12,9,10] => [2,1,6,3,5,4,8,7,12,9,11,10] => [2,1,5,3,6,4,8,7,11,9,12,10] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[2,1,5,6,3,4,9,10,7,8,12,11] => [2,1,6,3,5,4,10,7,9,8,12,11] => [2,1,5,3,6,4,9,7,10,8,12,11] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[3,4,1,2,6,5,8,7,10,9,12,11] => [4,1,3,2,6,5,8,7,10,9,12,11] => [3,1,4,2,6,5,8,7,10,9,12,11] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,4,1,2,6,5,8,7,11,12,9,10] => [4,1,3,2,6,5,8,7,12,9,11,10] => [3,1,4,2,6,5,8,7,11,9,12,10] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[3,4,1,2,6,5,9,10,7,8,12,11] => [4,1,3,2,6,5,10,7,9,8,12,11] => [3,1,4,2,6,5,9,7,10,8,12,11] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[3,4,1,2,7,8,5,6,10,9,12,11] => [4,1,3,2,8,5,7,6,10,9,12,11] => [3,1,4,2,7,5,8,6,10,9,12,11] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[3,4,1,2,7,8,5,6,11,12,9,10] => [4,1,3,2,8,5,7,6,12,9,11,10] => [3,1,4,2,7,5,8,6,11,9,12,10] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[6,2,5,3,7,4,1,8] => [4,7,6,5,3,1,2,8] => [7,4,5,6,1,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,2,6,3,7,5,1,8] => [5,4,7,2,6,1,3,8] => [5,7,4,2,6,3,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,3,6,2,5,4,1,8] => [4,5,6,7,3,1,2,8] => [7,6,5,4,1,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,3,7,2,5,4,1,6] => [4,5,7,8,3,2,1,6] => [8,7,5,4,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,4,6,5,1,7] => [5,3,2,6,8,1,4,7] => [3,8,1,6,5,4,2,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,3,6,5,2,8] => [1,5,6,4,7,2,3,8] => [1,6,4,7,5,3,2,8] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[8,2,5,4,1,6,3,7] => [4,5,8,6,3,2,1,7] => [8,6,4,5,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,3,7,5,2,6] => [1,5,7,4,8,3,2,6] => [1,7,4,8,5,2,6,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,2,1,4,8,5,3,7] => [2,6,5,1,8,4,3,7] => [6,2,8,3,5,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,2,1,4,8,6,3,7] => [2,5,6,1,4,8,3,7] => [8,2,5,3,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,3,7,5,1,6] => [5,4,7,2,8,3,1,6] => [7,8,4,2,5,1,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,2,8,3,7,4,1,6] => [4,7,5,8,3,2,1,6] => [8,5,7,4,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,4,8,5,2,6] => [3,7,5,2,8,1,4,6] => [8,3,7,1,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,4,8,5,2,6] => [1,5,3,8,7,4,2,6] => [1,3,8,5,7,2,6,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[7,2,6,3,8,4,1,5] => [4,8,7,6,2,3,1,5] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,3,8,4,1,6] => [4,8,5,7,3,2,1,6] => [8,4,7,5,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,3,7,4,1,6] => [4,7,8,5,3,2,1,6] => [8,5,4,7,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,3,7,5,1,6] => [5,7,4,1,8,2,3,6] => [7,4,8,3,5,2,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,4,3,8,5,1,6] => [5,8,4,1,7,2,3,6] => [5,4,8,3,7,2,6,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,2,4,3,8,5,1,7] => [5,8,4,1,6,3,2,7] => [5,4,8,3,6,1,2,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,5,2,4,7,6,3,8] => [1,5,6,2,4,7,3,8] => [1,7,5,3,2,6,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[7,2,5,3,1,6,4,8] => [3,5,7,6,1,2,4,8] => [7,5,3,6,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,2,5,3,1,7,4,8] => [3,5,6,7,1,2,4,8] => [7,6,3,5,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,2,6,3,1,7,5,8] => [3,6,4,1,7,2,5,8] => [7,3,4,2,6,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,2,6,3,1,5,4,8] => [3,6,7,5,2,1,4,8] => [6,5,3,7,2,4,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,5,2,4,8,6,3,7] => [1,5,6,2,4,8,3,7] => [1,8,5,3,2,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,1,3,7,5,2,6] => [4,8,2,5,7,1,3,6] => [8,4,1,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,5,3,7,4,8] => [2,6,5,7,1,3,4,8] => [6,2,7,5,4,3,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[3,2,8,5,1,6,4,7] => [5,3,2,8,6,4,1,7] => [3,8,1,5,6,2,4,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,2,5,6,4,8] => [7,3,1,6,2,5,4,8] => [3,6,2,7,4,1,5,8] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[4,2,8,7,5,6,1,3] => [6,4,1,2,7,5,8,3] => [4,8,2,3,6,1,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,2,4,8,1,7] => [8,5,6,2,3,4,1,7] => [5,8,6,2,3,1,4,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,7,1,2,6,4,3,8] => [7,1,4,6,5,2,3,8] => [4,1,6,5,7,3,2,8] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,8,2,5,7,4,3,6] => [1,8,4,7,2,3,5,6] => [1,4,8,7,3,5,6,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,6,4,3,2,5,8,7] => [1,3,4,6,2,5,8,7] => [1,6,3,4,2,5,8,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,8,2,7,1,4,3,6] => [7,8,4,1,5,3,2,6] => [5,4,7,3,8,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[7,8,1,6,3,2,4,5] => [8,3,6,2,4,1,7,5] => [3,7,6,1,2,5,8,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,7,2,3,8,1,6] => [8,7,2,5,4,1,3,6] => [5,7,1,8,2,4,6,3] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[3,8,5,1,2,6,4,7] => [5,1,3,8,6,4,2,7] => [3,1,8,5,6,2,4,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[8,6,2,3,1,5,7,4] => [3,6,2,8,4,7,5,1] => [8,3,1,6,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,2,1,4,8,6] => [2,5,7,1,3,8,4,6] => [8,2,5,3,4,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,8,7,4,5,1] => [5,2,6,7,4,3,8,1] => [2,8,6,5,1,3,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,8,5,2,4] => [1,5,8,3,7,2,6,4] => [1,8,5,2,7,4,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,7,8,5,4,6] => [2,3,1,5,8,4,7,6] => [3,2,1,7,5,4,8,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[7,3,4,2,1,5,8,6] => [2,4,7,3,1,8,5,6] => [8,2,4,1,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,8,6,5,2,7] => [1,5,4,3,6,8,2,7] => [1,4,8,2,5,6,3,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,7,6,3,2,4,8,5] => [1,3,6,2,7,8,5,4] => [1,8,3,2,7,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,4,7,8,5,3] => [2,1,5,8,6,3,7,4] => [2,1,7,5,6,4,8,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,2,3,7,5,8,4,6] => [1,2,3,8,7,4,5,6] => [1,2,3,7,8,5,6,4] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[6,7,8,2,5,1,4,3] => [5,8,4,1,2,6,7,3] => [5,4,6,3,2,7,8,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[4,7,8,1,5,6,2,3] => [8,6,2,4,1,5,7,3] => [4,6,1,7,3,2,8,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[3,6,7,1,8,4,2,5] => [7,4,3,8,2,6,1,5] => [3,6,7,4,1,8,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,3,7,6,2,4,5,8] => [1,6,3,2,4,7,5,8] => [1,3,7,2,4,6,5,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,6,7,2,8,3,5,4] => [1,7,8,5,3,6,2,4] => [1,6,5,7,3,8,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[2,7,3,8,4,5,6,1] => [6,2,7,8,4,5,3,1] => [2,8,7,6,1,3,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,8,5,7,2,6] => [4,7,3,1,8,2,5,6] => [4,3,8,2,7,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,6,2,7,8,3,4,1] => [4,6,8,3,5,2,7,1] => [6,5,4,1,7,2,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[7,4,1,8,5,6,2,3] => [4,7,1,6,8,5,2,3] => [8,4,2,7,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,8,1,6,3,4] => [8,7,6,3,2,1,5,4] => [6,7,8,1,3,5,2,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,8,4,2,6,3,7,1] => [7,4,8,6,5,3,2,1] => [5,7,4,6,8,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,7,1,2,6,4,8,3] => [7,1,8,6,5,2,4,3] => [6,1,5,7,8,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[5,2,1,8,4,6,7,3] => [2,5,7,8,1,4,6,3] => [8,2,7,5,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,4,6,3,5,7] => [1,2,6,8,3,4,5,7] => [1,2,8,6,4,5,3,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,6,8,4,5,7,2] => [1,7,3,8,4,6,5,2] => [1,3,7,6,2,8,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[4,6,3,5,7,8,1,2] => [8,1,6,4,3,5,7,2] => [4,1,6,7,2,3,8,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[2,7,6,5,1,4,8,3] => [5,2,6,1,7,8,4,3] => [2,8,7,3,5,6,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,8,4,7,5,3] => [1,2,5,7,8,6,3,4] => [1,2,7,6,5,8,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,7,2,8,6,3,5,4] => [1,7,6,5,3,8,2,4] => [1,5,7,8,3,6,4,2] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[2,3,8,5,4,7,1,6] => [7,2,3,5,8,1,4,6] => [2,3,7,8,5,4,6,1] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,2,8,4,7,3,5,6] => [1,2,7,8,3,5,4,6] => [1,2,8,7,4,3,6,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,4,2,3,7,1,6,5] => [7,4,2,8,6,1,3,5] => [6,7,1,4,8,5,3,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,2,4,8,7,3,1,6] => [3,7,5,1,4,2,8,6] => [8,3,5,2,1,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,6,1,8,2,4] => [6,7,3,1,5,8,2,4] => [5,3,7,2,8,6,4,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[8,3,2,6,7,4,1,5] => [4,3,7,8,2,1,6,5] => [7,8,3,4,1,5,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,8,2,4,1,7,6,5] => [4,8,3,2,6,7,1,5] => [4,3,6,1,8,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[6,5,1,2,7,4,3,8] => [5,1,4,6,7,3,2,8] => [6,1,7,4,5,2,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[7,1,5,2,6,4,3,8] => [7,5,4,6,1,2,3,8] => [4,6,7,5,3,2,1,8] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[8,3,5,2,6,1,4,7] => [6,5,8,1,3,2,4,7] => [6,8,5,3,2,4,1,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,8,5,6,2,7,4,3] => [1,6,4,7,8,5,2,3] => [1,7,8,4,6,2,5,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[8,3,5,7,2,6,1,4] => [6,7,8,1,3,2,5,4] => [8,7,6,3,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,1,8,4,7,6] => [2,5,3,8,1,7,4,6] => [3,2,7,5,4,8,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[6,3,8,4,2,5,1,7] => [5,4,8,6,3,2,1,7] => [6,8,4,5,1,2,3,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,7,2,4,3,5,8,1] => [8,7,4,2,3,6,5,1] => [4,6,7,2,1,8,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[3,6,7,4,2,5,1,8] => [5,4,3,7,2,6,1,8] => [3,5,6,4,1,7,2,8] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[3,2,6,5,1,7,4,8] => [5,3,2,6,7,4,1,8] => [3,7,1,6,5,2,4,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[4,5,8,3,2,7,1,6] => [7,3,8,4,5,1,2,6] => [4,5,3,7,8,2,6,1] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[3,6,7,4,8,2,1,5] => [2,8,3,7,1,6,4,5] => [3,2,6,7,4,8,5,1] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[6,7,2,4,8,3,5,1] => [5,7,8,2,3,6,4,1] => [7,6,5,2,3,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,6,7,3,5,2,8,1] => [8,5,7,4,3,6,2,1] => [4,6,5,7,1,8,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[7,4,8,6,2,5,1,3] => [5,6,1,8,4,7,2,3] => [8,6,2,5,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,3,8,1,4,2] => [8,4,7,1,5,6,3,2] => [4,6,5,3,7,8,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[8,4,1,7,2,5,6,3] => [4,8,7,6,3,5,2,1] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,2,5,4,3] => [7,6,4,5,2,8,1,3] => [4,5,8,7,2,6,3,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,5,1,7,6,4,2,3] => [5,4,1,8,6,7,2,3] => [5,8,2,4,6,7,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,5,8,2,6,4,7,3] => [1,8,7,6,5,2,4,3] => [1,5,6,7,8,4,2,3] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,5,7,4,6,8,3,2] => [1,3,8,7,5,4,6,2] => [1,5,3,7,8,2,4,6] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,6,7,4,5,8,3,2] => [1,3,8,7,4,6,5,2] => [1,6,3,7,2,8,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[7,5,2,1,8,4,6,3] => [2,5,7,6,8,1,3,4] => [8,2,6,7,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,6,4,5,7,3] => [8,1,7,6,4,2,5,3] => [6,1,7,8,2,5,3,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,8,1,7,2,5,6,3] => [8,7,6,4,2,5,1,3] => [4,6,7,8,2,1,5,3] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[2,8,1,6,4,5,7,3] => [8,2,7,6,4,1,5,3] => [2,6,7,8,1,5,3,4] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[8,3,7,6,5,1,2,4] => [5,1,6,2,7,8,3,4] => [8,1,7,3,5,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,6,4,5,7,3] => [1,8,7,6,4,2,5,3] => [1,6,7,8,2,5,3,4] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,3,7,6,5,2,8,4] => [1,5,3,6,7,8,2,4] => [1,3,8,7,5,6,4,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,7,3,4,5,8,2,6] => [1,8,7,3,4,2,5,6] => [1,7,8,2,3,5,6,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,1,8,4,5,6,3,2] => [7,3,6,8,4,5,1,2] => [3,8,7,6,1,2,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,8,11,9,10] => [1,2,3,4,5,6,7,8,11,9,10] => [1,2,3,4,5,6,7,8,11,9,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,4,5,6,7,8,9,12,10,11] => [1,2,3,4,5,6,7,8,9,12,10,11] => [1,2,3,4,5,6,7,8,9,12,10,11] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[6,1,8,4,5,3,7,2] => [6,7,5,8,4,1,3,2] => [7,6,8,5,1,4,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,5,2,1,6,8,4] => [2,5,7,8,3,1,6,4] => [8,2,7,5,3,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,2,6,3,7,4] => [5,1,8,6,7,3,4,2] => [8,1,5,7,6,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,3,8,1,7,4] => [8,2,6,7,5,3,1,4] => [2,5,7,6,8,3,4,1] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[6,7,1,3,8,2,5,4] => [7,8,1,5,2,6,3,4] => [6,5,2,7,4,8,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[2,8,7,5,3,6,1,4] => [6,2,5,1,7,3,8,4] => [2,6,8,3,5,4,7,1] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[3,7,2,6,8,1,5,4] => [8,7,3,5,1,2,6,4] => [3,5,7,8,4,2,1,6] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,6,5,3,7,4,8,2] => [1,8,5,6,7,4,3,2] => [1,5,8,7,6,2,3,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,6,4,5,7,3,8,2] => [1,8,7,6,4,5,3,2] => [1,6,7,8,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,3,1,6,8,2,5,4] => [3,7,8,5,1,2,6,4] => [7,5,3,8,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,6,4,7,3,5,8,2] => [1,8,7,6,3,4,5,2] => [1,6,7,8,3,4,2,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[4,6,2,3,1,7,8,5] => [3,6,2,4,8,1,7,5] => [4,3,1,7,6,5,8,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[6,8,2,7,5,4,3,1] => [3,4,5,7,8,6,1,2] => [7,6,3,4,5,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,4,5,6,7,8,9,10,11,1,2] => [11,1,3,4,5,6,7,8,9,10,2] => [3,1,4,5,6,7,8,9,10,11,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[8,5,3,2,4,1,7,6] => [4,3,5,2,8,7,1,6] => [4,7,3,1,5,8,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[8,5,1,6,3,4,2,7] => [5,4,8,1,6,3,2,7] => [5,8,4,3,6,1,2,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,4,2,1,3,7,6] => [2,4,1,5,8,7,3,6] => [7,2,1,4,5,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,1,6,3,7,4,2,5] => [8,4,7,6,3,1,2,5] => [4,8,6,7,1,5,3,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,3,8,2,6,7,1,4] => [7,8,5,1,3,2,6,4] => [7,5,8,3,2,4,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,4,6,3,7,1,5] => [7,8,6,2,1,4,3,5] => [7,6,8,2,4,3,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,8,2,1,5,6,4] => [2,8,7,6,1,5,3,4] => [6,2,7,8,4,1,5,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,2,4,8,5,1,6,3] => [5,8,7,3,6,2,4,1] => [8,5,6,1,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,2,8,5,4,3] => [7,6,4,5,8,1,2,3] => [4,6,8,7,5,3,2,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,1,6,3,8,5,2,4] => [7,5,8,3,6,1,2,4] => [6,8,5,1,7,4,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,8,5,3,2,6,4] => [7,3,5,8,6,4,1,2] => [3,8,6,5,7,1,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,8,2,5,6,4,3] => [7,8,4,6,2,5,1,3] => [6,4,8,7,2,1,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,5,8,7,2,4,3] => [6,7,4,2,1,5,8,3] => [6,4,8,2,3,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,5,7,8,3,4,2] => [6,4,8,3,1,5,7,2] => [6,7,4,1,3,2,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,6,7,3,1,8,5,2] => [3,7,5,4,8,6,2,1] => [6,3,4,7,5,8,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,2,6,3,1,8,7,5] => [3,6,4,1,7,2,8,5] => [8,3,4,2,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,8,4,6,2,7] => [1,6,5,8,3,4,2,7] => [1,6,8,5,3,2,4,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,2,3,5,8,4,1,6] => [4,8,1,7,3,2,5,6] => [8,4,2,7,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,4,8,5,3,2] => [1,3,5,8,6,7,2,4] => [1,8,3,5,6,7,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,4,1,3,2,6,5] => [4,3,1,7,6,2,8,5] => [3,6,2,4,8,5,7,1] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[7,1,4,8,3,6,2,5] => [7,6,8,1,2,3,4,5] => [7,8,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,1,8,5,7,6,2,3] => [4,6,2,1,7,8,3,5] => [8,4,1,3,7,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,8,4,2,1,6] => [2,4,3,8,7,1,5,6] => [3,2,7,4,8,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[4,2,6,8,3,7,1,5] => [7,4,8,2,1,6,3,5] => [6,7,4,2,3,8,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,5,8,3,6,4,7,2] => [1,7,8,6,5,3,4,2] => [1,6,5,7,8,3,2,4] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,8,1,7,2,6,5,4] => [8,7,3,5,6,2,1,4] => [3,5,6,8,7,2,4,1] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[8,1,4,2,3,5,7,6] => [8,4,2,1,3,7,5,6] => [4,7,1,3,2,8,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[8,1,2,4,6,5,7,3] => [8,1,7,2,6,4,5,3] => [6,1,7,3,8,4,2,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[6,2,8,3,5,4,7,1] => [7,6,8,5,3,2,4,1] => [6,7,5,8,2,3,1,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[6,1,8,2,5,4,7,3] => [6,8,7,5,2,1,4,3] => [7,5,6,8,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,3,7,1,5,4,6,2] => [7,6,8,5,1,4,3,2] => [6,7,5,8,4,1,2,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,4,7,1,5,3,6,2] => [7,6,5,8,1,3,4,2] => [6,7,8,5,4,2,1,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,2,7,3,5,1,6,4] => [5,8,7,6,3,1,2,4] => [8,5,6,7,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,2,5,3,1,8] => [3,5,4,6,1,7,2,8] => [7,3,5,4,2,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,8,4,3,6,2,7,1] => [7,6,4,8,5,3,2,1] => [5,6,7,4,8,1,2,3] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[3,8,4,6,2,5,7,1] => [7,6,3,8,2,4,5,1] => [3,7,8,6,2,4,1,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[7,5,1,6,3,2,4,8] => [5,3,7,1,6,2,4,8] => [5,7,3,2,6,4,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,1,6,5,4,2,3,8] => [7,4,2,5,6,1,3,8] => [4,7,1,5,6,3,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[5,8,4,3,1,7,2,6] => [3,4,8,7,5,2,1,6] => [7,4,3,5,8,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,7,6,3,5,8,4] => [2,1,6,7,4,8,5,3] => [2,1,8,7,3,6,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,8,5,2,4,7,1] => [7,5,3,2,8,6,4,1] => [3,6,7,1,5,8,2,4] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,4,8,6,5,7,3,2] => [1,3,7,4,6,8,5,2] => [1,4,3,7,8,6,2,5] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[2,5,8,3,4,7,1,6] => [7,2,8,3,5,1,4,6] => [2,7,5,1,8,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,7,4,3,8,5,2] => [6,5,4,8,7,1,2,3] => [5,7,8,4,6,3,2,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,3,7,4,8,5,6,2] => [1,6,3,7,8,5,4,2] => [1,3,8,7,6,2,4,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,4,5,8,6,7] => [2,3,1,4,5,8,6,7] => [3,2,1,4,5,8,6,7] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[5,4,3,1,7,2,8,6] => [3,4,5,7,1,8,2,6] => [8,5,3,4,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,5,7,6,2,4,1] => [4,6,3,2,7,8,1,5] => [4,3,8,1,7,6,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,7,8,6,2,4,3,1] => [3,4,6,1,5,8,7,2] => [5,4,3,2,7,6,8,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,8,7,2,4,3,5,6] => [1,7,4,2,3,5,8,6] => [1,4,8,3,2,5,7,6] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,5,2,4,1,8,6,3] => [4,5,7,3,6,8,1,2] => [8,5,4,1,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,2,4,7,8,3] => [5,1,6,3,8,4,7,2] => [7,1,6,2,5,3,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,6,3,8,2,4,5,7] => [1,8,6,2,4,3,5,7] => [1,6,8,3,2,5,4,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,4,3,5,1,8,2] => [5,8,4,6,3,7,1,2] => [6,4,8,5,1,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,8,6,1,4,2,5,7] => [6,4,3,1,2,8,5,7] => [3,4,8,2,1,6,5,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,7,6,5,3,2,4,8] => [1,3,5,2,6,7,4,8] => [1,7,3,2,5,6,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,8,2,5,4,6,1,7] => [6,8,3,5,2,4,1,7] => [5,3,6,8,2,1,4,7] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[6,2,3,5,8,4,1,7] => [4,8,1,6,3,5,2,7] => [8,4,2,6,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,1,5,8,3,2] => [6,3,7,4,2,8,5,1] => [4,7,3,8,1,6,2,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,7,6,4,2,5,8,3] => [1,4,6,7,2,8,5,3] => [1,8,7,4,3,6,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,5,3,8,2] => [4,6,7,5,3,8,1,2] => [8,5,4,7,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,9,8,7,6,5,4,1] => [4,2,3,5,6,7,8,9,1] => [2,3,9,4,5,6,7,8,1] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[9,1,3,2,4,5,6,7,8] => [9,3,1,2,4,5,6,7,8] => [3,9,2,1,4,5,6,7,8] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,1,5,4,3,2] => [7,3,4,5,1,6,8,2] => [3,6,4,5,2,8,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[4,3,7,2,1,8,5,6] => [2,7,4,3,8,5,1,6] => [4,2,8,1,7,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,7,3,8,6,2,5,1] => [5,6,8,4,3,7,2,1] => [6,5,4,8,1,7,2,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,4,7,3,8,2,1,6] => [2,8,7,5,4,1,3,6] => [5,2,7,8,1,4,6,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[8,3,7,2,4,6,5,1] => [5,6,7,3,8,4,1,2] => [8,7,6,1,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,8,5,7,4,2] => [1,4,3,7,8,6,5,2] => [1,3,7,4,6,8,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[6,3,5,8,2,4,1,7] => [4,8,6,2,3,5,1,7] => [8,4,6,2,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,8,3,7,2,5] => [1,7,8,6,2,4,3,5] => [1,7,6,8,4,3,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,7,2,8,5,4,3,6] => [1,7,4,5,8,3,2,6] => [1,4,8,7,5,2,6,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,4,8,3,6,2,1,7] => [2,6,8,5,4,3,1,7] => [6,2,5,8,1,3,4,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,7,2,4,6,1,3,8] => [6,7,1,2,5,4,3,8] => [6,5,2,3,7,1,4,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[3,7,5,2,6,4,1,8] => [4,6,3,5,7,1,2,8] => [4,3,7,6,5,2,1,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[3,8,6,2,7,5,1,4] => [5,7,3,2,6,8,1,4] => [5,3,8,1,7,6,4,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,8,6,3,5,2,4,7] => [1,5,6,2,3,8,4,7] => [1,8,5,3,4,6,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,2,7,3,1,6,5] => [3,7,4,8,6,2,1,5] => [7,3,6,4,8,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,2,7,3,4,5,1,6] => [5,8,7,3,4,1,2,6] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,2,4,6,3,7] => [8,5,6,2,1,4,3,7] => [5,8,6,2,4,1,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,1,3,4,5,7,2] => [6,8,2,3,4,7,5,1] => [8,6,1,2,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,7,2,5,8,4] => [6,7,1,8,2,3,5,4] => [8,7,2,6,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,1,4,7,3,6] => [5,8,7,1,2,3,4,6] => [8,5,7,3,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,6,4,2,5,7] => [8,4,1,6,2,3,5,7] => [4,8,2,6,3,5,1,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,1,2,4,6,7,3] => [5,1,8,3,7,4,6,2] => [8,1,5,2,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,7,3,4,5,1] => [5,2,7,3,4,6,8,1] => [2,6,5,1,3,8,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,7,8,3,2,4,6,5] => [1,3,8,2,6,4,7,5] => [1,6,3,2,7,5,8,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[8,3,1,2,4,6,7,5] => [3,1,8,2,7,4,6,5] => [7,1,3,2,8,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,1,7,5,8,2,4,6] => [3,8,1,2,7,4,5,6] => [7,3,2,1,8,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,1,3,2,4,6,5,7] => [8,3,1,2,6,4,5,7] => [3,6,2,1,8,5,4,7] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[8,2,3,7,4,1,5,6] => [4,7,1,8,2,5,3,6] => [8,7,2,4,3,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,6,4,2,3,7] => [8,4,2,6,1,5,3,7] => [4,8,1,6,3,2,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,5,8,1,6,4,2,7] => [8,4,3,6,5,1,2,7] => [3,4,6,5,8,2,1,7] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[3,5,8,2,7,4,1,6] => [4,7,3,8,5,2,1,6] => [5,3,7,4,8,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,5,1,7,3,2,8,4] => [5,3,6,7,8,2,4,1] => [7,8,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,6,5,4,3,2,7] => [8,3,4,5,6,1,2,7] => [3,8,4,5,6,2,1,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,8,1,5,4,3,7] => [8,2,4,5,1,6,3,7] => [2,4,6,5,3,8,1,7] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[5,2,1,7,6,3,8,4] => [2,5,6,7,1,8,4,3] => [8,2,7,5,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,2,1,4,7,6] => [2,8,3,1,5,7,4,6] => [3,2,5,1,7,8,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[7,6,2,8,1,4,3,5] => [8,6,4,1,3,7,2,5] => [4,6,8,3,1,7,5,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,7,2,6,8,3,5,1] => [5,7,8,4,3,2,6,1] => [7,5,4,8,1,2,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,4,3,8,5,6,2,1] => [2,6,4,7,8,5,3,1] => [7,2,8,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,2,7,6,4,5,8,3] => [1,2,8,6,4,7,5,3] => [1,2,6,8,3,7,4,5] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[7,2,6,5,1,8,3,4] => [5,6,7,1,8,3,2,4] => [8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,1,7,8,4,3] => [5,6,4,8,2,1,7,3] => [6,5,7,4,2,3,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[4,2,5,3,8,7,1,6] => [7,4,5,2,3,1,8,6] => [4,8,5,2,1,3,7,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,8,4,6,1] => [6,7,5,8,2,4,3,1] => [7,6,8,5,3,1,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,7,3,2,5,4,6,1] => [6,3,7,5,2,4,8,1] => [5,6,3,8,2,1,7,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[5,1,7,6,2,4,8,3] => [5,6,7,3,1,8,4,2] => [8,7,5,1,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,3,1,6,8,2] => [3,7,8,5,4,2,6,1] => [7,5,3,8,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,5,4,8,3,1,6,2] => [3,8,6,5,7,2,4,1] => [7,3,5,8,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,4,8,1,6,5,2,7] => [8,5,3,4,6,1,2,7] => [3,4,5,8,6,2,1,7] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[7,5,6,1,8,3,2,4] => [6,3,8,2,7,5,1,4] => [6,8,3,1,7,2,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,1,3,7,8,2,6,5] => [4,8,1,3,6,2,7,5] => [6,4,2,1,7,5,8,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[7,1,4,8,6,5,2,3] => [7,5,2,1,6,8,4,3] => [5,8,1,3,7,6,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,4,5,3,8,6,7,2] => [1,7,5,4,3,8,6,2] => [1,4,5,8,2,7,3,6] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[4,6,2,7,5,8,1,3] => [8,6,1,4,7,2,5,3] => [4,6,2,8,7,5,1,3] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[7,3,2,5,1,8,4,6] => [5,3,7,8,2,4,1,6] => [7,8,3,5,2,1,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,8,1,4,2,3,5,6] => [8,4,2,1,3,5,7,6] => [4,7,1,3,2,5,8,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[8,6,2,7,5,3,1,4] => [3,5,7,1,6,8,2,4] => [8,5,3,2,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,2,4,5,8,7] => [6,3,1,2,4,5,8,7] => [3,6,2,1,4,5,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[7,8,1,6,5,2,4,3] => [8,5,4,2,6,1,7,3] => [4,5,7,2,6,3,8,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[7,4,8,5,1,3,2,6] => [5,3,1,8,7,4,2,6] => [3,8,2,5,7,1,6,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,8,6,5,1,2,7] => [5,1,3,4,6,8,2,7] => [3,1,4,8,5,6,2,7] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[3,7,8,6,5,1,2,4] => [5,1,3,2,6,8,7,4] => [3,1,7,2,5,6,8,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[8,4,5,7,2,6,3,1] => [3,6,7,8,4,1,5,2] => [8,7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,7,1,5,2,4] => [7,5,3,2,1,6,8,4] => [3,5,6,1,4,8,7,2] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[5,6,8,2,7,3,1,4] => [3,7,8,2,5,6,1,4] => [6,5,3,1,7,8,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[4,8,3,1,7,5,2,6] => [3,8,5,4,7,1,2,6] => [5,3,4,8,7,2,6,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,4,8,2,7,3,1,5] => [3,7,8,6,2,4,1,5] => [7,6,3,8,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,8,1,3,7,4,2,5] => [8,4,1,7,2,6,3,5] => [4,7,2,6,3,8,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[5,8,1,3,7,4,2,6] => [8,4,1,7,5,2,3,6] => [4,7,2,5,8,3,6,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,3,8,2,7,5,1,6] => [5,7,4,3,8,2,1,6] => [7,4,8,1,5,2,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,4,7,3,2,8,1,6] => [8,3,7,5,4,1,2,6] => [3,7,5,8,1,4,6,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,8,3,4,6,1,2,7] => [6,1,8,3,5,4,2,7] => [6,1,5,2,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,4,3,8,5,1,2,7] => [5,1,4,8,6,2,3,7] => [5,1,8,4,6,3,2,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,4,8,2,3,5,1,7] => [5,8,2,6,3,4,1,7] => [8,5,1,6,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,5,1,2,3,7] => [5,1,2,8,6,3,4,7] => [8,1,2,5,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,2,3,1,4,6] => [3,8,2,1,5,4,7,6] => [5,3,1,2,7,4,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[8,1,5,4,6,2,7,3] => [8,6,7,5,1,4,2,3] => [5,7,6,8,4,1,3,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[4,6,3,2,8,5,7,1] => [7,3,6,4,8,2,5,1] => [3,7,4,8,6,2,1,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,3,2,5,1,8,6] => [5,3,4,7,2,8,1,6] => [3,8,5,4,1,7,6,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,8,3,7,2,1,6] => [2,7,8,5,4,1,3,6] => [7,2,5,8,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,1,5,4,7,2,8,3] => [6,7,8,5,1,4,2,3] => [7,6,5,8,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,4,3,6,2,8,5,7] => [1,6,4,3,8,2,5,7] => [1,4,8,2,6,5,3,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,3,6,8,2,7,5,1] => [5,7,4,3,8,6,1,2] => [6,4,7,1,5,8,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[5,4,8,3,2,7,1,6] => [7,3,8,5,4,1,2,6] => [5,7,3,8,1,4,6,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,6,5,4,7,2,8,3] => [1,7,8,5,6,4,2,3] => [1,6,5,8,7,2,4,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,4,5,6,7,8,3,9,2] => [1,9,8,4,5,6,7,3,2] => [1,4,5,6,7,8,9,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[4,1,8,6,2,5,7,3] => [4,6,8,1,3,7,5,2] => [8,6,4,3,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,6,7,4,8,2] => [1,8,5,7,3,6,4,2] => [1,5,7,6,3,8,2,4] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[6,7,2,5,3,8,4,1] => [4,8,7,5,3,6,1,2] => [7,4,5,6,1,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,7,6,2,5,1,8,3] => [5,6,7,4,3,8,1,2] => [7,5,4,8,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,3,4,8,1,2,7,5] => [8,1,6,3,7,4,2,5] => [6,1,8,2,7,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,2,8,1,7,4,5,3] => [8,6,5,7,4,2,1,3] => [5,7,8,6,1,3,4,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,7,6,3,8,4,2,5] => [1,4,8,6,3,7,2,5] => [1,8,4,6,2,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,3,7,8,1,6] => [8,2,4,5,3,1,7,6] => [2,4,7,5,1,3,8,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[5,4,1,6,8,3,7,2] => [4,5,7,8,2,6,1,3] => [7,6,5,4,2,8,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,2,6,5,3,4,8,1] => [8,7,5,3,6,2,4,1] => [5,6,8,1,7,3,2,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[7,1,3,2,6,5,8,4] => [7,3,1,8,6,2,5,4] => [3,7,2,6,8,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[7,3,1,2,5,6,8,4] => [3,1,7,8,2,5,6,4] => [8,1,3,7,4,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,7,4,6,2,1] => [2,6,3,7,5,4,8,1] => [3,2,6,5,8,1,7,4] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[5,3,6,8,4,2,1,7] => [2,4,8,5,1,6,3,7] => [6,2,4,5,3,8,1,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,1,6,8,4,7,3,2] => [5,3,7,8,1,6,4,2] => [6,7,3,5,4,8,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,3,5,8,4,7,2,6] => [1,7,3,8,5,2,4,6] => [1,3,7,5,8,4,6,2] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[5,8,7,2,4,1,3,6] => [4,7,1,2,5,3,8,6] => [5,4,2,3,8,1,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[8,2,3,5,6,1,4,7] => [6,8,2,1,3,5,4,7] => [8,6,1,3,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,6,1,7,5] => [6,8,2,3,7,4,1,5] => [8,6,1,2,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,3,5,2,8,6] => [1,5,4,7,3,8,2,6] => [1,5,8,4,2,7,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[3,8,2,7,6,4,1,5] => [4,6,3,7,1,8,2,5] => [7,3,8,4,2,6,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,1,4,6,3,7,5] => [2,8,6,1,7,4,3,5] => [6,2,8,3,7,4,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,5,2,8,7,6,4,3] => [1,5,4,6,2,7,8,3] => [1,5,8,4,3,6,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,8,1,3,2,5,6,4] => [8,3,1,6,2,5,7,4] => [3,6,2,7,4,1,8,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[7,8,1,3,5,4,6,2] => [8,6,1,5,3,4,7,2] => [5,6,2,7,3,1,8,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,3,7,8,5,2,4,6] => [1,5,3,2,8,4,7,6] => [1,3,7,2,5,4,8,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,7,8,3,5,2,6,4] => [1,5,8,6,3,2,7,4] => [1,7,5,6,3,4,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,5,7,6,8,3,2,4] => [1,3,8,2,5,7,6,4] => [1,5,3,2,7,8,4,6] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[3,5,4,7,8,6,1,2] => [6,1,3,5,4,8,7,2] => [3,1,5,7,2,6,8,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[3,5,7,6,8,4,1,2] => [4,1,3,8,5,7,6,2] => [3,1,5,4,7,8,2,6] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,5,7,6,8,3,4,2] => [1,4,8,3,5,7,6,2] => [1,5,4,2,7,8,3,6] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[6,1,4,3,2,5,8,7] => [6,3,4,1,2,5,8,7] => [3,6,4,2,1,5,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[5,3,6,7,8,4,1,2] => [4,1,8,5,2,6,7,3] => [6,1,4,5,3,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,2,5,7,1,8,4,3] => [7,6,4,8,2,5,1,3] => [6,7,8,4,2,1,5,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,8,3,2,4,6,5,7] => [1,3,8,2,6,4,5,7] => [1,6,3,2,8,5,4,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,8,6,2,3,7,1,4] => [7,6,2,1,5,8,3,4] => [5,7,1,3,8,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,4,8,3,6,7,2,5] => [1,7,8,4,2,3,6,5] => [1,7,4,8,3,5,2,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,1,7,4,3,8,5,6] => [2,1,4,7,8,5,3,6] => [2,1,8,4,7,3,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,3,4,7,8,2] => [5,6,2,3,8,4,7,1] => [7,6,1,2,5,3,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,2,3,8,5,4,1,6] => [4,5,2,8,7,1,3,6] => [8,5,1,4,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,1,4,5,6,2] => [3,8,6,2,4,5,7,1] => [7,3,6,1,2,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,8,1,4,3,7,6,2] => [8,6,4,1,5,7,3,2] => [4,5,6,3,8,7,1,2] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[3,7,1,5,6,4,8,2] => [7,8,3,6,1,5,4,2] => [6,3,7,8,4,1,2,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[6,1,8,7,3,2,5,4] => [6,3,7,5,2,1,8,4] => [5,6,3,8,2,4,7,1] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[4,1,5,2,7,8,6,3] => [4,5,6,1,2,8,7,3] => [7,5,4,3,2,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,5,7,4,6,8,2,3] => [1,8,2,7,5,4,6,3] => [1,5,2,7,8,3,4,6] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => [1,4,2,6,8,5,3,7] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,4,6,7,3,5,2,8] => [1,5,7,4,3,6,2,8] => [1,5,4,6,2,7,3,8] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,5,3,4,8,2,7,6] => [1,8,5,3,4,7,2,6] => [1,5,7,2,3,8,6,4] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[2,8,3,5,7,1,4,6] => [7,2,8,1,3,4,5,6] => [2,8,7,3,4,5,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,2,4,5,6,8] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[7,4,6,2,3,1,5,8] => [3,6,2,7,1,4,5,8] => [7,3,1,6,4,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,1,4,7,8,3,2,5] => [6,3,8,1,2,4,7,5] => [6,7,3,2,4,5,8,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,4,8,7,3,2,6,5] => [1,3,7,4,6,2,8,5] => [1,4,3,6,8,5,7,2] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,6,4,3,2,5,7,8] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[4,7,5,2,3,1,6,8] => [3,5,2,4,7,1,6,8] => [4,3,1,7,5,2,6,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[8,3,2,7,5,6,1,4] => [6,3,8,1,7,5,2,4] => [6,8,3,2,7,1,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,5,7,1,6,2,8,4] => [7,6,3,8,5,1,2,4] => [3,6,7,5,8,4,2,1] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,2,3,7,5,4,6,8] => [1,2,3,5,7,4,6,8] => [1,2,3,7,5,4,6,8] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[2,8,6,3,5,7,4,1] => [4,2,7,6,1,8,5,3] => [2,8,4,7,3,6,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,6,7,4,1,5,3] => [4,2,7,5,3,8,6,1] => [2,8,4,5,1,7,3,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,8,2,5,3,4,7] => [6,8,5,3,2,1,4,7] => [6,5,8,1,3,4,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,6,1,5,7,3,4,8] => [6,2,7,3,1,5,4,8] => [2,7,6,1,4,3,5,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,8,6,2,1,7,5,4] => [2,6,3,5,8,7,4,1] => [3,2,6,8,5,7,1,4] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[5,2,4,8,3,1,7,6] => [3,8,5,1,4,7,2,6] => [7,3,5,2,1,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,1,8,7,2,5,6,3] => [4,7,6,1,2,5,8,3] => [8,4,6,3,2,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,2,3,6,8,7] => [1,4,2,5,3,6,8,7] => [1,5,2,4,3,6,8,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[4,6,2,8,1,5,7,3] => [8,6,7,4,1,2,5,3] => [4,7,6,8,3,5,1,2] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[2,7,8,6,3,4,1,5] => [4,2,6,3,1,8,7,5] => [2,7,4,1,3,6,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,2,8,6,7,5,4] => [3,1,2,5,7,8,6,4] => [3,1,2,8,5,7,4,6] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[6,5,2,1,8,4,7,3] => [2,5,6,7,8,3,1,4] => [8,2,7,6,5,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,2,8,1,4,6] => [8,5,3,1,7,4,2,6] => [3,5,8,2,7,1,6,4] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[5,1,4,7,3,2,8,6] => [5,3,7,1,4,8,2,6] => [5,8,3,2,1,7,6,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,3,5,4,8,6,1,7] => [6,2,3,5,4,8,1,7] => [2,3,5,8,1,6,4,7] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[2,3,6,4,7,5,1,8] => [5,2,3,7,6,1,4,8] => [2,3,7,5,6,4,1,8] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[2,3,7,6,1,5,8,4] => [6,2,3,7,4,8,5,1] => [2,3,8,7,1,6,4,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,3,2,4,1,7,6,5] => [4,3,8,2,6,7,1,5] => [4,6,3,1,8,7,5,2] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[3,7,6,1,2,5,8,4] => [6,1,3,7,4,8,5,2] => [3,1,8,7,2,6,4,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,7,1,6,8,5,3,2] => [7,3,5,4,8,1,6,2] => [3,7,4,8,5,2,1,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[4,1,5,8,6,2,3,7] => [4,6,2,1,5,8,3,7] => [5,4,1,3,8,6,2,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,3,4,6,2,8,7,1] => [7,6,5,3,4,2,8,1] => [5,6,8,1,2,3,7,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,7,3,4,8,2,6,1] => [6,8,7,3,5,2,4,1] => [7,5,6,1,8,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,2,3,7,4,1,8] => [4,7,1,5,6,3,2,8] => [7,4,2,5,6,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,1,4,7,5,2,8,6] => [3,5,1,4,7,8,2,6] => [4,3,2,8,5,7,6,1] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[3,1,4,7,2,8,6,5] => [3,7,1,4,6,8,2,5] => [4,3,2,7,8,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[3,1,5,4,8,6,2,7] => [3,6,1,5,4,8,2,7] => [5,3,2,8,1,6,4,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,1,7,5,4,6,2,8] => [3,6,1,5,7,4,2,8] => [6,3,2,7,5,1,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[2,5,6,3,7,4,1,8] => [4,2,7,6,5,1,3,8] => [2,6,4,5,7,3,1,8] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[2,5,6,4,1,8,3,7] => [4,2,6,8,5,3,1,7] => [2,6,5,4,8,1,3,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,1,4,5,3,6,2,8] => [7,6,5,1,4,3,2,8] => [5,6,7,3,1,2,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,7,4,5,3,2,6,8] => [1,3,5,7,4,2,6,8] => [1,7,3,5,2,4,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,6,4,7,5,2,3,8] => [1,5,2,7,6,3,4,8] => [1,7,2,5,6,4,3,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,6,4,8,2,1,3,7] => [2,8,1,6,5,4,3,7] => [5,2,1,6,8,3,4,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[8,6,1,3,2,5,7,4] => [6,3,1,8,4,7,5,2] => [3,8,2,6,1,7,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,8,1,4,6,3,2] => [8,3,6,1,7,4,5,2] => [3,8,6,2,7,4,1,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,8,2,5,1,6,3] => [5,8,6,4,2,1,7,3] => [6,4,5,7,2,3,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[3,7,8,2,5,1,4,6] => [5,8,3,1,2,4,7,6] => [5,3,7,2,4,1,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[3,4,6,7,8,1,5,2] => [8,5,3,4,1,6,7,2] => [3,4,5,6,2,7,8,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[5,6,3,8,1,2,4,7] => [8,1,6,2,5,3,4,7] => [5,1,6,3,8,4,2,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[4,7,3,8,5,1,6,2] => [5,8,6,4,7,2,1,3] => [7,4,5,8,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,8,5,3,2,6,1,7] => [6,3,5,4,8,2,1,7] => [3,6,4,8,5,1,2,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[8,1,5,3,2,4,7,6] => [8,3,5,2,1,7,4,6] => [3,7,5,1,4,8,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,8,4,1,3,6,5,2] => [4,8,2,5,6,3,7,1] => [7,4,1,5,6,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,3,8,2,4,1,6,5] => [4,8,7,2,6,1,3,5] => [7,4,6,2,8,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,2,3,7,8,1,5,4] => [8,6,2,5,1,3,7,4] => [5,6,1,7,4,3,8,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[2,6,3,7,8,1,5,4] => [8,2,6,5,1,3,7,4] => [2,5,6,7,4,3,8,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,4,7,3,8,5,2,6] => [1,5,8,4,7,3,2,6] => [1,5,4,8,7,2,6,3] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[8,1,4,3,7,5,6,2] => [8,6,4,1,7,5,3,2] => [4,6,8,3,7,1,2,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[2,7,4,3,8,5,1,6] => [5,2,4,8,7,3,1,6] => [2,5,8,4,7,1,6,3] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,7,1,8,6,4,5,3] => [7,2,5,6,4,8,1,3] => [2,5,8,7,1,6,4,3] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,4,7,6,3,8,5,1] => [5,2,8,4,6,7,1,3] => [2,5,4,8,6,7,3,1] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,2,6,1,8,3,5,4] => [6,7,8,5,3,2,1,4] => [7,6,5,8,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,8,2,7,3,1,5,4] => [3,7,8,5,2,6,1,4] => [6,5,3,7,2,8,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,8,1,4,7,5,3,2] => [8,3,5,1,7,6,4,2] => [3,7,5,2,6,8,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,6,1,2,8,5,3,4] => [6,1,5,2,7,8,3,4] => [7,1,8,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,6,3,4,1,7,5] => [4,8,6,3,7,2,1,5] => [8,4,6,1,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,8,5,3,7,4] => [6,1,5,8,7,2,4,3] => [7,1,8,5,6,4,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,6,8,3,2,7,4] => [5,3,8,7,1,6,2,4] => [5,7,3,6,4,8,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[4,5,7,6,8,2,3,1] => [3,8,2,4,5,7,6,1] => [4,3,1,5,7,8,2,6] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[6,2,3,1,7,8,5,4] => [3,6,2,5,8,1,7,4] => [6,3,1,7,5,4,8,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[5,2,1,3,8,4,7,6] => [2,5,1,8,3,7,4,6] => [7,2,1,5,4,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,2,7,8,3,5,4,1] => [4,5,6,8,1,3,7,2] => [7,6,5,4,3,1,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,2,8,6,4,1,7,3] => [4,6,5,8,3,7,1,2] => [8,5,6,4,1,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,8,4,3,7,6] => [5,1,4,8,2,7,3,6] => [5,1,7,4,3,8,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,7,2,6,4,8,1,3] => [8,7,1,6,5,2,4,3] => [5,6,2,7,8,4,1,3] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[7,2,1,8,4,3,5,6] => [2,7,4,8,3,5,1,6] => [7,2,8,4,1,3,6,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,3,5,8,4,2,7,6] => [1,4,3,8,5,7,2,6] => [1,3,5,4,7,8,6,2] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,3,8,4,5,2,7,6] => [1,5,3,8,4,7,2,6] => [1,3,7,5,2,8,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,7,6,2,3,5,4,8] => [1,6,2,5,3,7,4,8] => [1,5,2,7,4,6,3,8] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,7,6,4,2,3,5,8] => [1,4,2,6,3,7,5,8] => [1,7,2,4,3,6,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,3,2,5,8,6,4,7] => [1,3,2,6,5,8,4,7] => [1,3,2,5,8,6,4,7] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,7,5,8,4,2,3,6] => [1,4,2,8,7,3,5,6] => [1,7,2,4,8,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,7,2,4,3,6,8,1] => [8,7,4,2,5,3,6,1] => [4,5,7,2,8,1,3,6] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[5,7,3,4,6,2,8,1] => [8,6,7,3,5,4,2,1] => [5,7,6,1,8,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[8,2,5,3,1,7,4,6] => [3,5,8,7,1,4,2,6] => [8,5,3,7,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,8,1,7,4,2] => [8,4,7,6,2,5,1,3] => [4,8,6,7,2,1,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,8,6,1,7,2] => [6,8,3,5,4,7,2,1] => [5,3,6,8,1,7,2,4] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[5,7,6,1,2,8,3,4] => [6,1,7,2,5,8,3,4] => [7,1,5,3,8,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,3,2,6,8,4,5] => [7,3,1,8,4,2,6,5] => [3,8,2,7,1,5,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,2,8,1,6,7] => [8,5,4,3,2,1,6,7] => [4,5,8,1,2,3,6,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[6,1,3,8,4,2,7,5] => [6,4,1,8,7,3,2,5] => [6,8,2,4,7,3,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,1,2,4,3,6,7] => [8,1,4,2,5,3,6,7] => [4,1,5,3,8,2,6,7] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[3,6,5,4,7,1,2,8] => [7,1,3,5,6,4,2,8] => [3,1,5,7,6,2,4,8] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[2,8,4,7,3,1,6,5] => [3,2,7,8,6,1,4,5] => [2,7,3,6,8,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,6,2,5,1,8,4,3] => [5,6,4,7,3,8,1,2] => [7,5,8,4,1,6,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,3,5,7,2,4,1] => [4,7,6,2,3,8,5,1] => [8,4,7,2,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,6,8,3,7,2] => [1,7,8,5,4,6,3,2] => [1,6,5,7,2,8,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[8,4,3,5,7,2,6,1] => [6,7,4,8,3,2,5,1] => [7,6,8,4,1,3,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,7,6,8,3,5,2,4] => [1,5,8,2,3,7,6,4] => [1,7,5,3,4,8,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,3,5,8,2,4,7,1] => [7,8,6,2,3,5,4,1] => [7,6,8,2,3,1,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,6,8,3,5,7,2,4] => [1,7,8,2,3,6,5,4] => [1,7,6,3,4,8,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,8,3,7,5,2,6,1] => [6,5,7,4,8,3,2,1] => [6,7,4,8,5,1,2,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[2,8,7,1,4,6,3,5] => [7,2,6,1,3,4,8,5] => [2,6,8,3,4,5,7,1] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,5,8,2,4,7,1,3] => [7,8,1,2,6,5,4,3] => [7,6,2,3,8,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,3,8,6,2,7,5,1] => [5,7,4,3,6,8,1,2] => [5,4,8,1,7,6,3,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,8,5,3,7,4,2,6] => [1,4,7,5,8,3,2,6] => [1,8,4,7,5,2,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,2,1,7,4,3,5] => [2,6,4,8,1,7,3,5] => [6,2,8,4,3,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,7,6,2,8,1,4,3] => [8,6,4,1,5,7,2,3] => [4,5,6,3,8,7,2,1] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[8,6,7,2,5,4,1,3] => [4,5,2,7,1,8,6,3] => [8,5,1,4,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,5,1,2,6] => [5,1,4,3,7,2,8,6] => [4,1,8,2,5,3,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,3,8,1,2,5,4,7] => [8,1,6,5,2,3,4,7] => [5,1,6,8,4,3,2,7] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[8,2,5,1,6,7,4,3] => [5,8,4,7,2,1,6,3] => [7,4,8,5,2,3,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,5,2,6,7,4,3] => [8,5,4,7,1,2,6,3] => [4,7,8,5,3,2,1,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,6,4,8,5,3,2,1] => [2,3,5,8,6,7,1,4] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,3,8,4,2,1] => [2,4,8,5,6,7,1,3] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,8,6,3,2,1] => [2,3,6,5,8,7,1,4] => [6,2,3,8,5,7,4,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,6,5,3,2,8,4,1] => [4,3,8,5,6,7,1,2] => [4,8,3,5,6,7,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,2,4,3,6,8] => [1,7,4,2,5,3,6,8] => [1,4,5,3,7,2,6,8] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,6,5,3,2,4,7,8] => [1,3,5,2,6,4,7,8] => [1,6,3,2,5,4,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,2,7,4,3,5,8,6] => [1,2,4,7,3,8,5,6] => [1,2,8,4,3,7,6,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,8,7,4,3,5] => [1,6,4,7,3,2,8,5] => [1,6,8,4,2,5,7,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,7,4,2,3,5,8,6] => [1,4,2,7,3,8,5,6] => [1,8,2,4,3,7,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,2,3,6,4,7] => [1,5,2,8,6,4,3,7] => [1,8,2,5,6,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,8,5,2,3,6] => [1,5,2,8,7,4,3,6] => [1,8,2,5,7,3,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,5,2,8,6,3] => [1,5,7,4,6,8,3,2] => [1,5,4,8,7,6,2,3] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,6,3,7,4,2,8,5] => [1,4,7,6,8,2,3,5] => [1,8,4,7,6,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,8,6,3,7,4] => [1,2,6,8,5,7,4,3] => [1,2,6,5,8,7,3,4] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,5,8,7,6,2,4,3] => [1,6,4,2,5,7,8,3] => [1,4,5,3,8,6,7,2] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,5,2,4,3,6,8,7] => [1,5,4,2,3,6,8,7] => [1,4,5,3,2,6,8,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,6,8,7,5,3,2,4] => [1,3,5,2,7,6,8,4] => [1,6,3,2,5,8,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,2,5,7,4,3,8,6] => [1,2,4,7,5,8,3,6] => [1,2,5,4,8,7,6,3] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,5,3,2,6,8,7,4] => [1,3,5,7,2,6,8,4] => [1,6,3,5,4,8,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,8,5,2,6,3,4,7] => [1,5,8,2,6,3,4,7] => [1,8,5,3,6,4,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,2,8,5,4,7] => [1,3,6,5,8,2,4,7] => [1,6,3,8,5,4,2,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,5,7,4,2,3,8,6] => [1,4,2,7,5,8,3,6] => [1,5,2,4,8,7,6,3] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[6,3,7,5,4,2,8,1] => [8,4,5,7,6,3,2,1] => [4,8,6,5,7,1,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,8,2,7,5,4,1,6] => [4,5,3,7,8,1,2,6] => [7,3,8,4,5,2,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,2,4,1,7,5,3] => [4,6,5,3,8,7,1,2] => [8,4,6,1,5,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,3,6,8,5,4,1] => [4,2,5,8,7,3,6,1] => [2,8,5,4,7,1,3,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,8,1,6,4,5] => [8,7,3,6,4,1,2,5] => [3,6,7,8,1,5,4,2] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[8,5,2,4,6,7,3,1] => [3,7,5,1,8,4,6,2] => [8,3,7,2,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,2,7,3,5,1] => [5,4,8,7,2,6,3,1] => [6,7,4,5,2,8,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[2,5,8,7,1,4,3,6] => [7,2,4,1,5,3,8,6] => [2,4,5,3,8,1,7,6] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[5,2,4,1,6,7,8,3] => [4,5,8,2,1,6,7,3] => [6,5,4,2,3,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[5,2,8,6,4,7,1,3] => [7,5,1,6,2,8,4,3] => [5,8,2,7,4,6,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,7,5,1,6,3,8,2] => [5,7,8,4,6,2,1,3] => [6,5,4,8,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,3,1,6,7,5,8,2] => [3,4,8,2,7,6,5,1] => [6,4,3,1,7,8,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,1,3,4,7,2,8,5] => [6,7,1,3,8,4,2,5] => [8,7,2,1,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,5,3,2,6] => [7,3,5,8,1,2,4,6] => [3,8,7,5,4,2,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,7,2,5,3,1,6] => [3,5,7,8,1,2,4,6] => [8,7,3,5,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,7,2,1,5,8] => [2,7,6,3,1,4,5,8] => [6,2,7,1,4,5,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[5,3,6,7,2,8,1,4] => [8,7,5,1,3,6,2,4] => [5,6,7,3,2,8,4,1] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[3,8,2,5,6,7,4,1] => [4,7,3,8,1,5,6,2] => [7,3,8,4,2,1,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,4,1,6,7,2,5] => [4,8,3,7,1,2,6,5] => [4,3,8,7,2,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,6,4,2,7,1,5,3] => [7,4,6,5,1,8,3,2] => [4,8,5,7,3,6,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,1,4,7,5,2,3] => [6,5,1,2,8,7,4,3] => [6,8,2,3,5,7,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,1,8,2,6,7,4,3] => [5,8,4,7,1,2,6,3] => [7,4,8,5,3,2,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,8,1,5,6,7,4,3] => [8,2,4,7,1,5,6,3] => [2,4,8,7,3,1,5,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,5,8,2,6,7,4,3] => [1,8,4,7,5,2,6,3] => [1,4,7,5,8,3,2,6] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[8,5,3,6,7,4,2,1] => [2,4,7,5,8,1,6,3] => [8,2,4,7,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,6,5,2,8,4] => [7,5,1,6,8,3,4,2] => [6,8,2,7,5,3,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,1,4,5,7,6,3] => [2,8,6,1,4,7,5,3] => [6,2,8,3,1,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,7,5,4,2,8,3] => [6,4,5,7,8,1,2,3] => [6,8,7,4,5,3,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,7,3,6,5,1,8,4] => [5,2,6,7,8,4,3,1] => [2,8,7,6,5,1,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,6,4,8,1,2] => [8,1,3,6,7,5,4,2] => [3,1,6,8,7,2,4,5] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[8,7,1,4,6,5,3,2] => [7,3,5,1,6,4,8,2] => [3,8,5,2,6,1,7,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,8,6,7,1,4,2] => [7,4,3,1,5,8,6,2] => [3,4,5,2,8,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,2,4,6,8,5,3,7] => [1,2,5,4,8,6,3,7] => [1,2,4,6,5,8,3,7] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[3,1,5,8,6,2,4,7] => [3,6,1,2,5,8,4,7] => [5,3,2,1,8,6,4,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[2,4,3,8,7,1,6,5] => [7,2,4,3,6,1,8,5] => [2,4,6,1,8,5,7,3] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[5,6,4,7,3,8,2,9,1] => [9,8,7,6,5,4,3,2,1] => [5,6,7,8,9,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[5,6,4,7,3,9,2,8,1] => [8,9,7,6,5,4,3,2,1] => [6,5,7,8,9,1,2,3,4] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[5,3,4,8,6,2,7,1] => [7,6,5,3,4,8,2,1] => [5,7,8,1,2,6,3,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[4,5,2,6,3,8,7,1] => [7,5,6,4,2,3,8,1] => [4,6,5,8,2,1,7,3] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[5,4,6,3,7,2,9,8,1] => [8,7,6,5,4,3,2,9,1] => [5,6,7,9,1,2,3,8,4] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[5,4,6,3,7,2,8,1,9] => [8,7,6,5,4,3,2,1,9] => [5,6,7,8,1,2,3,4,9] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1] => [6,7,8,9,10,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[4,3,5,8,6,2,7,1] => [7,6,4,3,5,8,2,1] => [4,5,7,1,8,6,2,3] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[3,4,5,8,6,2,7,1] => [7,6,3,4,5,8,2,1] => [3,4,5,7,8,6,1,2] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [5,6,7,8,9,1,2,3,4,10] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[5,4,2,3,6,1,8,7] => [6,4,2,5,3,1,8,7] => [4,6,1,5,2,3,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[6,1,8,5,4,7,2,3] => [6,7,2,5,8,1,4,3] => [7,6,1,8,5,4,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,3,7,6,8,2,1,5] => [2,8,4,3,1,7,6,5] => [4,2,7,1,3,8,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[8,1,4,7,2,3,5,6] => [8,7,2,1,3,5,4,6] => [7,8,1,3,4,2,6,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,1,8,5,2,7,3,4] => [6,5,8,2,7,1,3,4] => [7,8,5,2,6,4,3,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,7,2,6,3,1,4,5] => [3,6,7,2,4,1,8,5] => [8,6,3,1,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,3,7,1,8,6] => [7,4,2,5,3,8,1,6] => [4,8,1,5,2,7,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,5,8,4,2,3] => [6,4,1,7,2,8,5,3] => [7,8,2,4,3,6,1,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,4,7,6,2,1,5] => [2,6,7,1,3,8,4,5] => [8,2,7,3,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,7,1,3,2,6] => [7,3,1,8,4,2,5,6] => [3,8,2,7,1,5,6,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,8,7,5,2,4,6] => [3,5,1,2,7,4,8,6] => [8,3,2,1,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,1,8,3,2,7] => [6,3,8,5,4,1,2,7] => [5,6,3,8,1,4,2,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[3,2,6,8,7,1,4,5] => [7,3,2,1,4,6,8,5] => [3,6,1,2,4,8,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[3,8,2,7,6,1,4,5] => [6,7,3,2,4,8,1,5] => [7,3,8,1,2,6,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,4,5,1,8,7,3,6] => [5,2,7,4,1,3,8,6] => [2,5,4,8,3,1,7,6] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,6,8,7,2,1,4,5] => [2,7,3,1,4,6,8,5] => [3,2,6,1,4,8,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[3,2,8,5,6,7,1,4] => [7,3,2,1,8,5,6,4] => [3,8,1,2,7,4,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,2,8,1,4,5] => [8,6,3,1,4,7,2,5] => [3,6,8,2,1,7,5,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[6,8,3,2,7,1,4,5] => [7,3,8,1,4,6,2,5] => [6,7,3,2,1,8,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[8,3,6,2,5,7,1,4] => [7,6,8,1,2,3,5,4] => [7,8,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,7,2,5,6,8,1,4] => [8,7,3,1,2,5,6,4] => [3,7,8,2,4,1,5,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[7,5,1,4,2,3,6,8] => [5,4,2,1,7,3,6,8] => [4,7,1,3,5,2,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[7,8,6,1,2,4,5,3] => [6,1,5,2,4,8,7,3] => [5,1,7,3,2,6,8,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,5,3,4,7,8,6,2] => [1,6,5,3,4,8,7,2] => [1,5,7,2,3,6,8,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[5,1,2,4,7,8,6,3] => [5,1,6,2,4,8,7,3] => [7,1,5,3,2,6,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,1,7,8,6,2,3,4] => [5,6,2,3,1,8,7,4] => [7,5,1,2,4,6,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,5,1,6,7,2,3,4] => [5,8,1,3,7,2,6,4] => [8,5,2,1,7,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,2,4,6,8,3] => [5,1,7,3,8,4,6,2] => [8,1,7,2,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,6,4,5,8,2] => [1,8,7,6,4,3,5,2] => [1,6,7,8,2,4,3,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[8,1,7,2,5,3,4,6] => [8,7,5,3,2,4,1,6] => [5,7,8,1,3,2,6,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,1,2,7,4,5,6,3] => [8,1,6,7,4,5,2,3] => [6,1,8,7,2,3,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,8,3,7,4,5,6,2] => [1,6,8,7,4,5,3,2] => [1,8,6,7,2,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,6,7,5,2,3,4] => [8,5,2,3,7,1,6,4] => [5,8,1,2,7,4,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,1,2,8,5,6,7,4] => [3,1,2,7,8,5,6,4] => [3,1,2,8,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[6,1,7,4,2,3,5,8] => [6,4,2,7,3,1,5,8] => [6,7,1,4,2,5,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,7,3,8,4,5,6,2] => [1,6,7,8,4,5,3,2] => [1,8,7,6,2,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,6,3,4,8] => [5,7,6,3,1,2,4,8] => [7,5,6,1,4,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,1,8,2,6,3,4,7] => [5,8,6,3,1,2,4,7] => [8,5,6,1,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,3,4,1,8,6] => [4,2,7,3,5,8,1,6] => [2,5,4,1,8,7,6,3] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[2,5,8,4,3,6,1,7] => [6,2,4,8,5,3,1,7] => [2,5,6,4,8,1,3,7] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[3,7,2,8,5,4,1,6] => [4,5,3,8,7,1,2,6] => [5,3,8,4,7,2,6,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,6,8,5,4,1,2,7] => [4,1,3,5,8,6,2,7] => [3,1,6,4,5,8,2,7] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[2,5,8,3,4,1,7,6] => [4,2,8,3,5,7,1,6] => [2,5,4,1,7,8,6,3] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[3,5,8,4,2,1,7,6] => [2,4,3,8,5,7,1,6] => [3,2,5,4,7,8,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[2,3,7,1,6,5,8,4] => [7,2,3,8,6,1,5,4] => [2,3,7,6,8,5,1,4] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[3,6,8,5,4,1,7,2] => [4,5,3,8,7,6,1,2] => [5,3,7,4,6,8,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[2,6,8,3,5,1,7,4] => [5,2,8,7,3,6,1,4] => [2,7,5,6,3,8,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,5,7,1,4,6,8,3] => [7,2,8,1,5,4,6,3] => [2,7,5,3,8,1,4,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[8,6,5,1,2,4,3,7] => [5,1,4,2,6,8,3,7] => [4,1,8,3,5,6,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,6,1,4,2,3,5,8] => [6,4,2,1,3,7,5,8] => [4,7,1,3,2,6,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[2,6,3,5,8,4,1,7] => [4,2,8,6,1,5,3,7] => [2,8,4,6,3,1,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,4,8,3,2,7] => [5,3,6,2,8,4,1,7] => [6,8,3,1,5,2,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,6,3,1,2,5,4] => [3,1,6,5,2,7,8,4] => [5,1,3,8,4,6,7,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,7,3,6,1,5,8,4] => [6,2,7,8,1,3,5,4] => [2,8,7,6,4,5,1,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,2,8,1,5] => [8,4,7,6,1,2,3,5] => [4,8,6,7,3,5,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,1,5,8,2] => [4,7,8,6,2,1,5,3] => [8,6,4,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,7,5,1,8,6] => [5,2,4,3,7,8,1,6] => [2,4,8,1,5,7,6,3] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,4,1,2,5,3,6,7] => [4,1,8,5,3,2,6,7] => [8,1,4,5,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,4,2,5,1,6] => [5,4,8,7,3,1,2,6] => [7,8,4,5,1,3,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,8,4,2,5,6,1] => [6,4,8,7,3,5,2,1] => [7,8,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,7,5,1,4,2,6,3] => [5,4,7,3,6,2,8,1] => [5,8,4,1,6,2,7,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,1,4,2,5,3,7] => [6,4,5,1,2,8,3,7] => [4,8,5,3,2,6,1,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,1,4,3,2,6,5] => [7,3,4,1,6,2,8,5] => [3,6,4,2,8,5,7,1] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,6,7,4,3,2,5,8] => [1,3,4,7,2,6,5,8] => [1,6,3,4,2,7,5,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[3,5,1,4,7,2,6,8] => [5,7,3,1,4,2,6,8] => [5,3,7,2,1,4,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[2,5,1,4,7,8,3,6] => [5,2,8,1,4,3,7,6] => [2,7,5,3,1,4,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,2,4,1,3,6,8,5] => [4,7,1,2,8,3,6,5] => [8,4,2,3,7,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,5,2,7,3,8] => [1,5,6,4,7,3,2,8] => [1,6,4,7,5,2,3,8] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[5,6,2,1,4,3,7,8] => [2,6,4,1,5,3,7,8] => [4,2,5,3,6,1,7,8] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,6,5,3,7,2,4,8] => [1,7,5,2,6,3,4,8] => [1,5,7,3,6,4,2,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,2,5,3,4,8,7,6] => [1,2,5,3,4,7,8,6] => [1,2,5,3,4,8,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[5,4,7,6,1,2,3,8] => [6,1,2,5,4,7,3,8] => [5,1,2,7,3,6,4,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[4,8,3,6,5,1,2,7] => [5,1,6,4,8,2,3,7] => [6,1,4,8,5,3,2,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,3,7,6,1,8,2,4] => [6,7,5,1,3,8,2,4] => [7,5,8,3,2,6,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,2,7,6,1,8,4,3] => [6,5,4,7,2,8,3,1] => [5,7,8,4,2,6,1,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[5,8,2,6,1,7,4,3] => [6,8,4,7,5,2,1,3] => [6,4,7,5,8,2,3,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,5,8,3,6,2,7,4] => [1,6,8,7,5,3,2,4] => [1,7,5,6,8,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,8,7,1,4,5,2,3] => [7,5,2,1,4,6,8,3] => [5,6,1,3,2,8,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[7,8,1,4,6,5,2,3] => [8,5,2,1,6,4,7,3] => [5,7,1,3,6,2,8,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,8,7,3,1,6,2,4] => [3,7,6,1,5,2,8,4] => [6,3,5,2,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,2,6,4,7,3,8,5] => [1,2,7,6,8,4,3,5] => [1,2,7,8,6,4,5,3] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,2,7,8,3,5,6,4] => [1,2,8,6,3,5,7,4] => [1,2,6,7,4,3,8,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[6,8,7,1,2,4,5,3] => [7,1,5,2,4,6,8,3] => [5,1,6,3,2,8,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[5,4,2,3,8,6,1,7] => [6,4,2,5,3,8,1,7] => [4,8,1,5,2,6,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,4,1,5,8,7] => [4,2,6,3,1,5,8,7] => [2,6,4,1,3,5,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,6,2,1,4,3,8,7] => [2,6,4,1,5,3,8,7] => [4,2,5,3,6,1,8,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[5,6,2,3,4,1,8,7] => [4,6,2,3,5,1,8,7] => [5,4,1,2,6,3,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[2,7,4,5,8,1,6,3] => [8,2,6,7,4,1,5,3] => [2,6,8,7,1,5,3,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,8,6,2,1,4,3,7] => [2,6,4,1,5,8,3,7] => [4,2,5,3,8,6,1,7] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[4,5,8,6,2,1,3,7] => [2,6,1,4,5,8,3,7] => [4,2,1,5,8,6,3,7] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[6,4,7,5,8,2,1,3] => [2,8,1,6,7,4,5,3] => [6,2,1,8,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,2,1,5,7,6,3] => [2,8,6,4,1,7,5,3] => [4,2,6,8,3,7,1,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[2,1,4,8,5,6,3,7] => [2,1,6,4,8,5,3,7] => [2,1,4,8,6,3,5,7] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[4,8,5,6,2,1,3,7] => [2,6,1,4,8,5,3,7] => [4,2,1,8,6,3,5,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[6,2,1,5,8,4,3,7] => [2,6,4,8,1,5,3,7] => [6,2,8,4,3,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,5,6,2,4,3,8,1] => [8,6,4,2,7,5,3,1] => [4,6,8,2,7,1,3,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[2,8,6,3,4,1,5,7] => [4,2,6,3,1,8,5,7] => [2,8,4,1,3,6,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,4,1,8,5,7] => [4,2,6,3,8,1,5,7] => [2,8,4,1,6,5,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,7,8,4,1,5] => [4,2,3,8,1,6,7,5] => [2,3,6,4,1,7,8,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[8,1,7,4,5,6,2,3] => [8,6,2,7,4,5,1,3] => [6,8,1,7,2,3,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,7,8,3,4,1,6,5] => [4,2,8,3,6,1,7,5] => [2,6,4,1,7,5,8,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[2,1,7,8,4,3,6,5] => [2,1,4,8,6,3,7,5] => [2,1,6,4,7,5,8,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[4,2,5,7,8,3,6,1] => [6,4,8,2,5,3,7,1] => [5,6,4,2,7,1,8,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[7,8,3,5,6,2,4,1] => [4,6,8,2,3,5,7,1] => [7,6,4,2,1,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,1,7,8,4,5,6,3] => [2,1,6,8,4,5,7,3] => [2,1,7,6,3,4,8,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[8,2,1,4,3,7,6,5] => [2,8,4,1,6,7,3,5] => [4,2,6,3,8,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[6,4,2,3,8,1,7,5] => [8,4,2,6,7,3,1,5] => [4,8,1,6,7,3,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,1,2,8,4] => [3,1,5,6,7,8,2,4] => [8,1,3,7,5,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,6,2,8,3,7] => [4,5,6,8,2,3,1,7] => [8,6,5,4,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,1,8,6,3,7] => [2,4,5,6,3,8,1,7] => [8,2,5,4,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[12,11,10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,11,12,2] => [12,1,3,4,5,6,7,8,9,10,11,2] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[6,5,3,1,4,7,8,2] => [3,5,6,1,8,4,7,2] => [7,6,3,2,5,1,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,1,8,6,7,2,4,5] => [3,7,1,2,4,8,6,5] => [8,3,2,1,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,4,2,3,7,8] => [5,4,2,1,6,3,7,8] => [4,6,1,3,5,2,7,8] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[5,1,3,2,6,4,7,8] => [5,3,1,6,2,4,7,8] => [3,6,2,5,4,1,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[4,2,5,1,8,6,7,3] => [5,4,7,2,1,8,6,3] => [5,8,4,2,3,7,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,8,1,4,2,6,3] => [8,4,6,1,7,2,5,3] => [4,8,6,3,7,5,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,7,1,6,8,2] => [7,8,5,4,3,1,6,2] => [5,4,7,8,1,3,2,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,2,8,5,3,6,7,1] => [7,4,5,2,8,3,6,1] => [4,8,7,2,5,1,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,2,8,5,7] => [4,6,1,3,8,2,5,7] => [8,4,2,1,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,2,4,8,3,6] => [5,1,7,3,8,2,4,6] => [8,1,7,2,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,8,4,7,1,3] => [7,6,1,8,2,5,4,3] => [7,8,2,6,4,1,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,8,2,3,6,1,4,7] => [6,8,2,1,5,3,4,7] => [6,5,1,3,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,1,4,7,2,6,8,3] => [5,7,8,1,4,2,6,3] => [8,7,5,3,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,5,4,1,3,7] => [4,5,2,8,1,6,3,7] => [6,5,1,4,3,8,2,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[2,5,7,1,6,4,8,3] => [7,2,8,6,5,1,4,3] => [2,6,5,7,8,4,1,3] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,8,2,5,6,4,7,3] => [1,8,7,6,2,5,4,3] => [1,6,7,8,4,2,3,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[3,7,4,6,1,8,5,2] => [6,5,3,8,7,2,1,4] => [3,7,8,5,6,2,4,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,8,4,6,1,3,7,5] => [6,2,1,8,7,4,3,5] => [2,8,1,6,7,4,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,7,6,2,5,1,4] => [5,6,7,1,3,8,2,4] => [8,7,5,3,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,2,3,4,5,6,9] => [7,1,2,3,4,5,8,6,9] => [8,1,2,3,4,5,7,6,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[7,1,3,2,5,8,6,4] => [7,3,1,6,2,8,5,4] => [3,7,2,8,4,6,1,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[2,6,3,7,5,4,8,1] => [8,2,6,5,7,3,4,1] => [2,5,7,8,6,3,1,4] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[3,7,4,5,2,6,8,1] => [8,5,3,7,4,2,6,1] => [3,5,8,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,1,4,6,8,7,5,2] => [3,5,1,4,7,6,8,2] => [4,3,2,6,5,8,7,1] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[5,4,7,1,3,8,6,2] => [7,6,1,5,4,8,3,2] => [5,7,2,8,1,6,3,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,8,2,6,4,7,3,5] => [1,8,7,6,3,2,4,5] => [1,6,7,8,3,5,4,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[2,8,5,1,4,7,3,6] => [5,2,8,3,7,1,4,6] => [2,8,5,1,7,4,6,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,8,2,5,4] => [3,6,7,5,2,8,1,4] => [7,5,3,8,2,6,4,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,1,4,2,5,7,3,6] => [8,4,7,1,2,3,5,6] => [4,8,7,3,2,5,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,8,4,3,1] => [3,4,8,7,6,2,5,1] => [7,4,3,6,8,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,1,3,4,2,5,7,8] => [6,4,1,3,2,5,7,8] => [4,6,2,1,3,5,7,8] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[7,8,3,5,2,4,6,1] => [6,5,8,2,3,4,7,1] => [6,7,5,2,3,1,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[2,4,5,7,3,6,1,8] => [6,2,7,4,5,3,1,8] => [2,5,4,6,7,1,3,8] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[2,5,3,1,6,4,7,8] => [3,2,5,6,1,4,7,8] => [2,6,3,5,4,1,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[7,1,8,5,3,4,6,2] => [7,6,5,3,8,4,1,2] => [6,7,8,1,5,2,4,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,6,5,8,7,4,2,3] => [1,4,2,7,6,5,8,3] => [1,6,2,4,8,3,7,5] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[6,1,3,8,7,5,2,4] => [6,5,1,2,7,3,8,4] => [6,8,2,3,5,4,7,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,6,7,5,8,2,4,1] => [4,8,3,2,7,6,5,1] => [4,3,6,1,7,8,2,5] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,7,4,5,2,8,6,3] => [1,5,6,8,3,7,2,4] => [1,8,6,5,3,7,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,4,2,8,5,1] => [5,4,3,8,7,6,1,2] => [3,5,7,4,6,8,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[4,6,3,2,7,8,5,1] => [5,3,8,4,6,1,7,2] => [4,5,3,7,6,2,8,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[7,1,2,4,5,6,3,8] => [7,1,6,2,4,5,3,8] => [6,1,7,3,2,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[3,6,2,1,7,5,4,8] => [2,6,3,5,7,1,4,8] => [3,2,6,7,5,4,1,8] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[7,2,8,5,6,4,3,1] => [3,4,6,7,8,5,2,1] => [8,7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,4,1,3,2] => [4,3,1,5,8,7,6,2] => [3,7,2,4,5,8,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,8,6,3,1,5,4,2] => [3,6,4,5,2,8,7,1] => [7,3,4,5,1,6,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,5,8,2,1,6,7,4] => [2,8,3,7,5,1,6,4] => [3,2,5,7,8,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[5,1,2,8,4,6,7,3] => [5,1,7,8,2,4,6,3] => [8,1,7,5,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,3,1,5,7,4] => [3,6,8,7,2,1,5,4] => [8,6,3,7,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,3,6,1,7,4] => [6,8,5,7,2,3,1,4] => [7,5,8,6,3,2,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,5,6,7,4,3,1] => [3,4,7,8,2,5,6,1] => [8,7,3,4,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,4,7,3,2,8] => [5,3,7,6,1,4,2,8] => [5,7,3,6,4,1,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,1,2,3,6,8,4,5] => [7,1,2,8,4,3,6,5] => [8,1,2,7,3,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,3,4,5,1] => [5,7,8,3,4,6,2,1] => [7,6,5,1,2,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,7,8,6,5,4,1,2] => [4,1,3,5,6,8,7,2] => [3,1,7,4,5,6,8,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[3,1,8,4,6,5,2,7] => [3,5,1,6,8,2,4,7] => [8,3,2,6,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,8,6,5,2,7] => [4,5,1,3,6,8,2,7] => [8,4,2,1,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,1,6,5,7,3] => [4,8,7,2,6,1,5,3] => [7,4,6,2,8,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,1,8,4,6,5,7,2] => [3,7,1,8,6,4,5,2] => [7,3,2,6,8,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,6,2,8,3,1,5,4] => [3,8,6,5,2,7,1,4] => [6,3,5,8,2,7,4,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,1,6,4,8,3,2,5] => [7,3,8,6,2,1,4,5] => [6,7,3,8,2,5,4,1] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[6,1,2,3,8,4,7,5] => [6,1,2,8,7,3,4,5] => [8,1,2,6,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,4,3,1,8,7] => [3,4,5,1,6,2,8,7] => [6,4,3,2,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[8,2,5,3,4,6,1,7] => [6,8,5,3,2,4,1,7] => [6,5,8,1,3,2,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,5,2,4,3,1,7,8] => [3,4,5,1,6,2,7,8] => [6,4,3,2,5,1,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[8,1,6,4,5,2,7,3] => [8,5,7,6,4,1,2,3] => [5,8,6,7,1,4,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,4,1,2,3,7,5] => [4,1,2,6,8,7,5,3] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,4,2,5,1,3] => [5,4,1,7,2,8,6,3] => [5,8,2,4,3,7,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,4,2,7,3,1,5] => [3,7,4,6,2,8,1,5] => [8,3,4,7,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,1,5,7,2,3] => [4,6,2,8,1,7,5,3] => [8,6,1,4,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,5,2,7,3,1] => [3,7,5,6,4,8,1,2] => [8,3,5,7,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,7,2,1,5,3] => [2,7,5,6,1,8,4,3] => [5,2,8,7,4,6,1,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,6,4,2,5,1,7,3] => [5,4,6,8,2,7,1,3] => [6,8,5,4,2,7,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,6,4,2,5,7,1,3] => [7,4,1,6,2,8,5,3] => [4,8,2,7,3,6,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,1,4,6,5,2,3] => [7,5,2,1,6,4,8,3] => [5,8,1,3,6,2,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,3,8,6,4,1,7,2] => [4,6,8,5,1,7,3,2] => [8,5,4,6,3,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,4,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[5,1,2,3,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[4,1,2,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[5,7,4,2,3,8,6,1] => [6,4,1,8,5,7,3,2] => [5,6,2,4,8,7,1,3] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[3,8,2,5,1,7,4,6] => [5,8,3,7,2,4,1,6] => [5,3,8,7,2,1,6,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,8,4,2,3,7,1,6] => [7,4,2,8,5,1,3,6] => [5,7,1,4,8,3,6,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,3,1,7,4,8,6,2] => [3,5,6,8,2,7,1,4] => [8,6,3,5,2,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,1,7,3,2,5] => [4,3,6,8,2,7,1,5] => [6,8,3,4,1,7,5,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,4,8,3,7,2,1,5] => [2,7,8,6,1,4,3,5] => [7,2,6,8,4,3,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,8,4,2,7,3,1,5] => [3,7,4,8,2,6,1,5] => [7,3,6,4,1,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,4,8,6,7,3,2,1] => [2,3,7,5,4,8,6,1] => [5,2,3,8,1,7,4,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,4,7,8,5,1,2,6] => [5,1,3,4,8,2,7,6] => [3,1,4,7,5,2,8,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[4,7,3,2,5,6,8,1] => [8,3,7,4,2,5,6,1] => [3,7,4,8,1,2,5,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[2,3,6,5,1,8,7,4] => [5,2,3,6,7,4,8,1] => [2,3,8,6,5,1,7,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[8,3,1,2,6,4,7,5] => [3,1,8,6,7,2,4,5] => [6,1,3,8,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => [1,4,7,3,2,5,8,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[3,6,4,7,1,2,8,5] => [7,1,3,6,8,4,2,5] => [3,1,7,8,6,4,5,2] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[8,5,4,2,6,1,7,3] => [6,4,5,8,7,2,1,3] => [5,8,7,4,6,2,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,2,6,8,7,4,1,5] => [4,3,2,7,1,6,8,5] => [3,6,1,4,2,8,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[6,3,1,2,8,7,4,5] => [3,1,6,7,4,2,8,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,5,3,8,4,6] => [2,7,5,8,1,4,3,6] => [7,2,8,5,4,1,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => [1,4,5,3,8,2,6,7] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[3,6,8,4,5,1,7,2] => [5,7,3,8,4,6,1,2] => [6,3,7,5,1,8,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[8,6,1,7,2,4,3,5] => [6,8,4,1,3,7,2,5] => [6,4,8,3,1,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,3,2,8,7,6,4,5] => [1,3,2,6,4,7,8,5] => [1,3,2,8,4,6,7,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[2,4,3,1,6,5,8,7,10,9] => [3,2,4,1,6,5,8,7,10,9] => [2,4,3,1,6,5,8,7,10,9] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,7,8,2,6,3,5,4] => [1,8,6,5,3,2,7,4] => [1,5,6,7,3,4,8,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[5,7,2,8,4,1,3,6] => [4,8,2,7,5,3,1,6] => [7,4,1,5,8,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,6,8,3,1,4,5,7] => [3,2,8,1,4,6,5,7] => [2,6,3,1,4,8,5,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,6,2,8,4,1,3,7] => [4,8,2,6,5,1,3,7] => [6,4,1,5,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,3,7,8,2,1,5,4] => [2,8,6,5,1,3,7,4] => [5,2,6,7,4,3,8,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[3,4,2,6,1,5,8,7] => [6,4,3,2,1,5,8,7] => [3,4,6,1,2,5,8,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[2,5,8,3,1,6,4,7] => [3,2,8,6,5,1,4,7] => [2,5,3,6,8,4,1,7] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[3,5,8,4,2,1,6,7] => [2,4,3,8,5,1,6,7] => [3,2,5,4,8,1,6,7] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[2,7,5,6,8,1,4,3] => [8,2,4,1,7,5,6,3] => [2,4,7,3,8,1,5,6] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[3,2,6,7,1,5,8,4] => [7,3,2,8,1,6,5,4] => [3,7,1,6,4,8,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,3,7,6,2,5,4,8] => [1,6,3,5,2,7,4,8] => [1,3,5,7,4,6,2,8] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,5,4,7,3,2,6,8] => [1,3,7,5,4,2,6,8] => [1,5,3,7,2,4,6,8] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[8,4,5,7,3,1,2,6] => [3,1,7,8,4,2,5,6] => [8,1,3,7,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,7,2,5,4,1] => [4,5,3,7,1,6,8,2] => [5,3,6,4,2,8,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[3,5,7,2,8,1,6,4] => [8,7,3,6,5,1,2,4] => [3,5,6,7,8,4,2,1] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[4,7,6,8,3,5,2,1] => [2,5,8,4,3,7,6,1] => [5,2,4,7,1,8,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[2,4,6,7,8,3,5,1] => [5,2,8,4,3,6,7,1] => [2,5,4,6,1,7,8,3] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,6,8,3,5,4,2,7] => [1,4,5,8,2,6,3,7] => [1,6,5,4,3,8,2,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,5,3,2,4,6,8,7] => [1,3,5,2,4,6,8,7] => [1,5,3,2,4,6,8,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,5,8,7,6,3,2,4] => [1,3,6,2,5,7,8,4] => [1,5,3,2,8,6,7,4] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,8,7,5,2,4,6,3] => [1,5,7,3,6,4,8,2] => [1,8,5,2,6,3,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,2,4,6,3,8] => [1,5,7,3,6,4,2,8] => [1,7,5,2,6,3,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,4,2,5,3,6,8] => [1,4,7,5,3,2,6,8] => [1,7,4,5,2,3,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,8,4,7,5,2,6,3] => [1,5,7,6,8,3,2,4] => [1,8,6,7,5,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,2,7,5,4,8] => [1,3,6,5,7,2,4,8] => [1,6,3,7,5,4,2,8] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,3,8,7,5,2,4,6] => [1,5,3,2,7,4,8,6] => [1,3,8,2,5,4,7,6] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,6,3,2,8,7,5] => [1,3,6,4,7,2,8,5] => [1,4,3,8,6,5,7,2] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,5,7,6,4,2,3,8] => [1,4,2,6,5,7,3,8] => [1,5,2,4,7,6,3,8] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[6,4,7,1,5,3,8,2] => [7,8,5,6,1,4,3,2] => [6,5,8,7,4,1,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,3,8,2,6,5,7,1] => [7,8,4,3,6,2,5,1] => [6,4,7,1,8,3,2,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[6,5,7,1,4,3,8,2] => [7,8,4,1,6,5,3,2] => [6,4,7,3,8,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[4,8,3,5,7,6,1,2] => [6,1,7,4,2,8,5,3] => [7,1,4,8,3,6,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,8,3,5,7,6,2,1] => [2,6,7,4,1,8,5,3] => [7,2,4,8,3,6,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,7,6,1,4,8,3,2] => [6,3,7,2,5,8,4,1] => [5,7,3,1,8,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[6,7,5,3,8,4,2,1] => [2,4,8,5,7,6,1,3] => [7,2,4,5,6,8,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,4,1,6,2,5,3,8] => [4,7,6,5,3,2,1,8] => [7,4,5,6,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,7,2,5,1,4,3,8] => [5,7,4,1,2,6,3,8] => [5,4,6,3,2,7,1,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[6,3,1,7,2,5,4,8] => [3,6,7,5,1,2,4,8] => [6,5,3,7,4,2,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[6,2,1,8,3,5,4,7] => [2,6,8,5,3,1,4,7] => [6,2,5,8,3,4,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,3,1,8,2,5,4,7] => [3,6,8,5,1,2,4,7] => [6,5,3,8,4,2,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,7,1,4,3,8,2,6] => [7,8,4,1,5,2,3,6] => [5,4,7,3,8,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,3,1,8,2,6,4,7] => [3,5,8,6,2,1,4,7] => [8,5,3,6,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,7,2,6,4,8] => [3,5,7,6,2,1,4,8] => [7,5,3,6,2,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,7,1,5,2,6,3,8] => [7,5,6,4,1,2,3,8] => [4,6,5,7,3,2,1,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[6,4,1,3,2,7,5,8] => [4,3,1,6,7,2,5,8] => [3,7,2,4,6,5,1,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[6,2,1,4,3,7,5,8] => [2,6,4,1,7,3,5,8] => [4,2,7,3,6,5,1,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[6,5,1,4,2,8,3,7] => [5,4,6,3,8,2,1,7] => [6,8,4,1,5,2,3,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,6,1,5,2,8,3,7] => [6,5,8,4,1,2,3,7] => [5,6,4,8,3,2,1,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[5,2,1,8,4,7,3,6] => [2,5,7,8,1,3,4,6] => [8,2,7,5,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,9,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,9,7] => [1,9,2,3,4,5,6,8,7] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,9,8,3,4,5,6,7] => [1,2,8,3,4,5,6,9,7] => [1,2,9,3,4,5,6,8,7] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,3,4,5,2,6] => [1,5,7,3,4,2,8,6] => [1,8,5,2,3,4,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,10,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,10,8] => [1,2,10,3,4,5,6,7,9,8] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,4,5,2,3,6] => [1,5,2,7,4,3,8,6] => [1,8,2,5,3,4,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,8,4,5,6,2] => [1,6,3,8,4,5,7,2] => [1,3,7,6,2,4,8,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[8,4,2,3,1,6,5,7] => [3,4,2,8,6,1,5,7] => [6,3,1,4,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,4,5,2,8,1,7,3] => [8,5,7,6,4,2,1,3] => [5,8,6,7,1,3,4,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,6,2,3,1,8,7,5] => [3,6,2,4,7,1,8,5] => [4,3,1,8,6,5,7,2] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[6,4,2,8,5,3,7,1] => [7,4,6,5,8,3,2,1] => [4,8,6,7,5,1,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,1,5,8,3,7] => [6,4,8,2,1,5,3,7] => [6,8,4,2,3,1,5,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,4,2,3,5,8,1,7] => [8,4,2,6,3,5,1,7] => [4,8,1,6,2,3,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,3,1,8,5,7] => [3,4,2,6,8,1,5,7] => [8,3,1,4,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,1,4,3,7,5] => [2,6,4,1,8,7,5,3] => [4,2,8,3,6,7,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,4,2,1,8,3,7,5] => [2,4,6,8,7,3,1,5] => [8,2,6,4,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,2,5,7,3,1] => [3,7,8,6,1,4,5,2] => [7,6,3,8,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,4,6,7,1,5,3] => [7,8,5,2,1,4,6,3] => [7,5,8,2,4,1,3,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,8,6,4,3,7,5,1] => [5,2,4,7,6,8,1,3] => [2,5,8,4,7,6,3,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,6,3,1,7,4,8,5] => [3,2,6,7,8,1,4,5] => [2,8,3,7,6,5,4,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,8,3,2,7,4] => [5,3,6,8,7,2,4,1] => [7,8,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,3,7,4,5,2,8,6] => [1,5,3,7,4,8,2,6] => [1,3,8,5,2,7,6,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[6,1,7,2,8,4,5,3] => [6,7,5,8,4,1,2,3] => [7,6,8,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,1,3,8,7,2,4] => [5,6,2,1,7,3,8,4] => [8,6,1,3,5,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,6,3,8,2,5] => [1,8,6,7,2,4,3,5] => [1,6,8,7,4,3,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,2,6,3,5,8,1,4] => [8,7,6,1,3,2,5,4] => [6,7,8,3,2,5,1,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[4,5,3,1,8,7,6,2] => [3,5,6,4,2,7,8,1] => [5,4,3,8,1,6,7,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,3,4,2,7,8,5,1] => [5,4,8,1,6,2,7,3] => [5,7,4,3,6,2,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,4,3,8,5,2,7,6] => [1,5,4,3,8,7,2,6] => [1,4,7,2,5,8,6,3] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[8,7,4,5,1,6,3,2] => [5,3,6,7,4,1,8,2] => [6,8,3,5,1,4,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,1,8,4,3,7,2,6] => [5,7,4,8,1,2,3,6] => [7,5,8,4,3,2,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,1,8,3,4,5,7,6] => [2,1,8,3,4,7,5,6] => [2,1,7,3,4,8,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[2,1,4,3,6,5,8,10,9,7] => [2,1,4,3,6,5,9,8,10,7] => [2,1,4,3,6,5,8,10,9,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[2,1,4,3,6,8,7,5,10,9] => [2,1,4,3,7,6,8,5,10,9] => [2,1,4,3,6,8,7,5,10,9] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,4,6,5,3,8,7,10,9] => [2,1,5,4,6,3,8,7,10,9] => [2,1,4,6,5,3,8,7,10,9] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[2,1,4,6,5,3,8,10,9,7] => [2,1,5,4,6,3,9,8,10,7] => [2,1,4,6,5,3,8,10,9,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[2,4,3,1,6,5,8,10,9,7] => [3,2,4,1,6,5,9,8,10,7] => [2,4,3,1,6,5,8,10,9,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[2,4,3,1,6,8,7,5,10,9] => [3,2,4,1,7,6,8,5,10,9] => [2,4,3,1,6,8,7,5,10,9] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,4,3,6,5,8,7,10,12,11,9] => [2,1,4,3,6,5,8,7,11,10,12,9] => [2,1,4,3,6,5,8,7,10,12,11,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[2,1,4,3,6,5,8,10,9,7,12,11] => [2,1,4,3,6,5,9,8,10,7,12,11] => [2,1,4,3,6,5,8,10,9,7,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,4,3,6,8,7,5,10,9,12,11] => [2,1,4,3,7,6,8,5,10,9,12,11] => [2,1,4,3,6,8,7,5,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,6,8,7,5,10,12,11,9] => [2,1,4,3,7,6,8,5,11,10,12,9] => [2,1,4,3,6,8,7,5,10,12,11,9] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[2,1,4,6,5,3,8,7,10,9,12,11] => [2,1,5,4,6,3,8,7,10,9,12,11] => [2,1,4,6,5,3,8,7,10,9,12,11] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,4,6,5,3,8,7,10,12,11,9] => [2,1,5,4,6,3,8,7,11,10,12,9] => [2,1,4,6,5,3,8,7,10,12,11,9] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[2,1,4,6,5,3,8,10,9,7,12,11] => [2,1,5,4,6,3,9,8,10,7,12,11] => [2,1,4,6,5,3,8,10,9,7,12,11] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[2,4,3,1,6,5,8,7,10,9,12,11] => [3,2,4,1,6,5,8,7,10,9,12,11] => [2,4,3,1,6,5,8,7,10,9,12,11] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,4,3,1,6,5,8,7,10,12,11,9] => [3,2,4,1,6,5,8,7,11,10,12,9] => [2,4,3,1,6,5,8,7,10,12,11,9] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[2,4,3,1,6,5,8,10,9,7,12,11] => [3,2,4,1,6,5,9,8,10,7,12,11] => [2,4,3,1,6,5,8,10,9,7,12,11] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[2,4,3,1,6,8,7,5,10,9,12,11] => [3,2,4,1,7,6,8,5,10,9,12,11] => [2,4,3,1,6,8,7,5,10,9,12,11] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[2,4,3,1,6,8,7,5,10,12,11,9] => [3,2,4,1,7,6,8,5,11,10,12,9] => [2,4,3,1,6,8,7,5,10,12,11,9] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[8,1,6,7,2,5,4,3] => [8,7,4,5,2,1,6,3] => [4,5,8,7,2,3,1,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,5,2,3,6,8,4,1] => [4,8,1,5,7,3,6,2] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,7,6,5,2,3] => [8,5,2,1,6,7,4,3] => [5,8,1,3,6,7,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,3,2,6,4,5,7] => [8,3,1,6,4,2,5,7] => [3,6,2,8,1,5,4,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[8,1,3,6,7,5,2,4] => [8,5,1,2,7,3,6,4] => [5,8,2,3,7,4,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,2,7,6,5,4,3] => [8,1,4,5,6,7,2,3] => [4,1,8,5,6,7,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,2,3,6,8,5,1,4] => [5,8,1,2,7,3,6,4] => [8,5,2,3,7,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,2,6,4,1,8] => [4,3,6,5,7,1,2,8] => [4,7,3,6,5,2,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[3,7,2,5,8,4,6,1] => [6,7,3,8,2,4,5,1] => [7,3,8,6,2,4,1,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,2,8,3,5,1,4,7] => [5,6,8,1,3,2,4,7] => [8,6,5,3,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,5,3,4,1,7] => [4,8,5,3,2,6,1,7] => [6,4,5,1,2,8,3,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[7,4,5,6,1,8,2,3] => [6,8,2,7,4,5,1,3] => [8,6,1,7,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,2,8,1,7,4] => [8,5,6,7,3,2,1,4] => [5,8,7,6,2,3,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,1,8,7,3,4,2,5] => [6,4,7,3,2,1,8,5] => [6,8,4,1,2,5,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,1,6,7,2,5,8,3] => [4,7,8,1,2,6,5,3] => [7,6,4,3,2,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,7,8,1,6,2,5,3] => [8,6,5,4,2,1,7,3] => [4,5,6,7,2,3,8,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[4,8,7,1,6,3,2,5] => [7,3,6,4,2,1,8,5] => [3,6,4,8,1,5,7,2] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,3,2,6,8,7,4,5] => [1,3,2,7,4,6,8,5] => [1,3,2,6,4,8,7,5] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,6,2,5,8,7,3,4] => [1,6,7,3,2,5,8,4] => [1,8,6,2,4,3,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => [1,8,5,3,2,4,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,5,8,6,3,7] => [1,2,6,4,5,8,3,7] => [1,2,4,5,8,6,3,7] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,2,8,3,5,4,7,6] => [1,2,8,5,3,7,4,6] => [1,2,5,7,4,8,6,3] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,3,8,2,5,4,7,6] => [1,8,3,5,2,7,4,6] => [1,3,5,7,4,8,6,2] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,6,7,5,2,4,8,3] => [1,5,7,3,8,6,4,2] => [1,7,6,2,5,8,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,5,6,4,7,2,3,8] => [1,7,2,6,5,4,3,8] => [1,5,2,6,7,3,4,8] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,6,4,3,7,5,2,8] => [1,5,4,7,6,2,3,8] => [1,5,7,4,6,3,2,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,6,5,4,7,2,3,8] => [1,7,2,5,6,4,3,8] => [1,5,2,7,6,3,4,8] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,5,8,2,3,6,7,4] => [1,8,2,7,5,3,6,4] => [1,5,2,7,8,4,3,6] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,3,2,6,8,5,4,7] => [1,3,2,5,8,6,4,7] => [1,3,2,6,5,8,4,7] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,6,3,2,7,4,5,8] => [1,3,6,7,4,2,5,8] => [1,7,3,6,2,5,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,8,4,2,3,6,5,7] => [1,4,2,8,6,3,5,7] => [1,6,2,4,8,5,3,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,4,2,7,5,3,8,6] => [1,4,5,2,7,8,3,6] => [1,8,4,3,5,7,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,4,2,6,5,7] => [1,4,3,8,6,2,5,7] => [1,3,6,4,8,5,2,7] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,8,3,6,4,5,2,7] => [1,5,8,6,4,3,2,7] => [1,8,5,6,2,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,7,3,2,8,5] => [1,3,7,6,8,4,2,5] => [1,7,3,8,6,4,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,2,3,7,4,5,6,1] => [6,8,2,7,4,5,3,1] => [8,6,1,7,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,2,3,6,4,1] => [4,6,1,7,8,3,5,2] => [8,7,2,4,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,8,4,2,5,7] => [1,4,3,8,2,6,5,7] => [1,3,6,4,2,8,5,7] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[7,6,1,5,4,8,2,3] => [6,7,1,5,2,8,4,3] => [7,5,2,8,4,6,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,5,1,3,7,2,8,4] => [5,6,2,7,8,3,4,1] => [8,7,1,6,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,2,5,3,1,6] => [3,5,8,7,1,2,4,6] => [8,5,3,7,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,3,4,6,2,7] => [1,6,5,3,8,4,2,7] => [1,6,8,2,5,3,4,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,6,5,4,3,8,2] => [7,8,4,5,6,1,3,2] => [5,4,8,6,7,3,1,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,1,5,3,6,4,8,2] => [7,8,5,6,1,3,4,2] => [6,5,8,7,4,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,1,7,3,8,6,2,4] => [5,6,8,3,1,7,2,4] => [8,6,5,1,4,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,8,7,4,1,6] => [4,3,2,7,5,1,8,6] => [3,5,1,4,8,2,7,6] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[3,2,5,8,7,1,4,6] => [7,3,2,1,5,4,8,6] => [3,5,1,2,8,4,7,6] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,6,2,4,8,5,7,3] => [1,6,7,2,8,4,5,3] => [1,8,7,3,6,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,5,3,6,7,1,2] => [7,1,5,4,8,3,6,2] => [4,1,7,8,5,2,3,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,8,5,3,4,7,6,2] => [1,6,5,2,7,8,4,3] => [1,7,8,3,5,6,2,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,1,4,7,6,3,2,8] => [5,3,6,1,4,7,2,8] => [5,7,3,2,1,6,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[5,7,6,2,4,1,3,8] => [4,6,1,2,5,7,3,8] => [5,4,2,3,7,6,1,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,8,6,3,2,5,4,7] => [1,3,6,5,2,8,4,7] => [1,5,3,8,4,6,2,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,2,5,4,8,1,3,6] => [8,7,1,5,2,3,4,6] => [5,7,2,8,4,3,6,1] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[6,8,5,2,3,7,1,4] => [7,5,2,1,8,6,3,4] => [6,7,1,3,5,8,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,3,4,8,6,7,2,5] => [1,7,3,4,2,8,6,5] => [1,3,4,8,2,7,5,6] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,7,8,5,6,4,1,3] => [4,2,1,6,8,5,7,3] => [2,7,1,4,6,3,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[8,6,2,1,5,7,3,4] => [2,6,8,1,3,7,5,4] => [8,2,6,3,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,8,5,3,7,1] => [7,6,5,4,8,2,3,1] => [4,6,7,8,5,2,1,3] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[8,7,2,4,1,5,3,6] => [4,7,5,2,1,3,8,6] => [8,4,5,2,3,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,5,4,8,6,2] => [7,6,1,5,3,8,4,2] => [5,7,2,8,3,6,1,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[4,1,5,2,8,6,3,7] => [4,5,6,1,2,8,3,7] => [8,5,4,3,2,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,1,7,2,5,6] => [3,4,8,7,2,5,1,6] => [8,4,3,7,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,1,4,6,7,5] => [3,2,8,1,7,4,6,5] => [2,7,3,1,8,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,8,3,4,2,5,7,1] => [7,4,8,3,2,6,5,1] => [6,7,4,1,2,8,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[4,3,6,5,1,2,7,8] => [5,1,4,3,6,2,7,8] => [4,1,6,2,5,3,7,8] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[2,8,3,7,6,4,5,1] => [5,2,8,6,4,7,3,1] => [2,8,5,6,1,7,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,3,7,6,4,2,5] => [1,4,6,7,2,8,3,5] => [1,8,7,4,3,6,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,8,3,7,6,4,2,1] => [2,4,6,7,5,8,3,1] => [7,2,5,4,8,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,3,8,7,6,5,2,4] => [1,5,3,2,6,7,8,4] => [1,3,8,2,5,6,7,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[5,8,7,2,6,3,1,4] => [3,6,7,2,5,1,8,4] => [6,5,3,1,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,8,7,1,6,3,4,5] => [7,2,6,3,4,1,8,5] => [2,6,8,1,3,5,7,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,8,7,6,5,1,3] => [5,4,1,2,6,7,8,3] => [4,8,2,3,5,6,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,8,7,1,6,3,2,4] => [7,3,6,2,5,1,8,4] => [3,6,5,1,8,4,7,2] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[8,4,2,7,6,5,3,1] => [3,5,4,6,7,8,1,2] => [8,3,7,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,5,2,4,3,1] => [3,4,5,1,7,6,8,2] => [6,4,3,2,5,8,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[7,6,3,1,4,5,2,8] => [3,6,5,2,4,7,1,8] => [7,3,5,1,2,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,3,6,2,4,5,1,8] => [5,6,7,2,4,3,1,8] => [7,6,5,2,1,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,2,5,7,4,8,6,3] => [1,2,6,8,5,7,3,4] => [1,2,6,5,8,7,4,3] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[6,2,1,8,7,5,3,4] => [2,6,5,3,7,1,8,4] => [6,2,8,1,5,4,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,3,8,7,4,5,2,1] => [2,5,6,7,4,3,8,1] => [8,2,6,5,1,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,4,1,5,6,7] => [4,2,8,3,1,5,6,7] => [2,8,4,1,3,5,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,5,4,8,6,1] => [6,2,8,5,1,7,4,3] => [2,6,5,8,4,7,1,3] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,5,7,3,6,1,8,2] => [6,8,7,4,5,3,1,2] => [6,4,5,7,8,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,8,7,5,4,1,6,2] => [4,5,3,7,6,1,8,2] => [5,3,8,4,6,2,7,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,5,6,3,1,8,2,7] => [3,6,8,4,5,2,1,7] => [5,4,3,6,8,1,2,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[4,7,5,3,6,2,8,1] => [8,6,5,4,7,3,2,1] => [4,5,7,8,6,1,2,3] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[5,7,3,8,4,2,6,1] => [6,4,8,7,5,3,2,1] => [6,7,4,5,8,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,3,7,1,2,8,4,6] => [7,1,5,8,3,4,2,6] => [7,1,8,5,3,2,6,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,8,7,6,1,3,5,4] => [6,2,1,5,3,7,8,4] => [2,5,1,8,4,6,7,3] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,3,8,7,1,4,5,2] => [7,5,6,1,4,3,8,2] => [5,8,6,3,1,2,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,7,5,4,8,1,6,3] => [8,2,6,5,7,1,4,3] => [2,5,7,8,6,4,1,3] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,3,8,7,2,5,4,1] => [4,5,7,6,3,1,8,2] => [8,6,4,5,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,8,1,3,2,5] => [8,3,1,6,2,7,4,5] => [3,6,2,8,4,7,5,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[8,1,4,6,7,5,2,3] => [8,5,2,1,7,4,6,3] => [5,8,1,3,7,2,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,6,8,1,4,7,5,3] => [8,2,5,1,7,6,4,3] => [2,5,7,3,6,8,1,4] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[6,4,8,1,2,7,5,3] => [8,1,5,7,6,3,2,4] => [5,1,8,6,7,3,4,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,1,4,6,7,2,5,3] => [8,7,5,1,2,4,6,3] => [5,7,8,3,4,1,2,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,2,6,1,7,4,5,3] => [6,8,5,7,4,2,1,3] => [7,5,8,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,2,8,1,4,7,5,3] => [8,6,5,1,7,2,4,3] => [5,7,8,3,6,4,1,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[2,4,8,1,6,7,5,3] => [8,2,5,4,7,1,6,3] => [2,4,5,8,7,3,1,6] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[4,2,8,6,1,7,5,3] => [6,4,5,2,8,7,3,1] => [4,8,6,2,5,7,1,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,2,6,4,1,7,5,3] => [4,6,8,5,7,3,2,1] => [8,5,4,7,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,6,4,7,5,3] => [8,1,5,7,6,2,3,4] => [5,1,8,6,7,4,3,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,8,1,2,6,7,5,3] => [8,1,5,4,7,2,6,3] => [4,1,5,8,7,3,2,6] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[6,8,2,1,4,7,5,3] => [2,8,5,1,7,6,4,3] => [5,2,7,3,6,8,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[8,1,6,2,4,7,5,3] => [8,6,5,2,7,1,4,3] => [5,7,8,2,6,4,1,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,2,1,4,6,7,5,3] => [2,8,5,1,7,4,6,3] => [5,2,8,3,7,1,4,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,2,4,6,1,7,5,3] => [6,8,5,2,7,4,1,3] => [7,5,8,2,6,1,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,4,7,6,3,1,2,8] => [3,1,6,5,4,7,2,8] => [5,1,3,7,2,6,4,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[3,6,8,4,1,5,2,7] => [4,8,3,5,2,6,1,7] => [4,3,6,5,1,8,2,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[8,2,6,5,7,1,3,4] => [7,8,1,3,6,2,5,4] => [7,6,2,1,8,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,4,6,7,1,3,8,2] => [7,8,1,5,4,6,3,2] => [6,5,2,7,1,8,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[7,1,4,8,2,3,6,5] => [7,8,2,1,6,3,4,5] => [7,6,1,3,8,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,6,5,4,7,1,8,2] => [7,8,3,5,6,4,1,2] => [5,3,6,8,7,1,4,2] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[4,5,3,6,7,1,8,2] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[4,6,1,3,5,2,8,7] => [6,5,1,4,3,2,8,7] => [4,5,2,6,1,3,8,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,7,6,3,5,8,4,2] => [1,4,8,6,2,7,5,3] => [1,8,4,6,3,7,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,4,8,3,7,6] => [5,2,8,1,4,7,3,6] => [2,7,5,3,1,8,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,6,2,1,4,5,3,8] => [2,6,5,1,4,7,3,8] => [5,2,7,3,1,6,4,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[4,1,2,8,7,6,3,5] => [4,1,6,2,3,7,8,5] => [8,1,4,3,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,3,8,6,7,2] => [5,7,4,1,3,8,6,2] => [5,4,8,3,1,7,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,5,1,6,4,8,7,2] => [5,7,3,6,1,4,8,2] => [5,3,8,6,4,1,7,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,1,2,5,4,8,7,3] => [6,1,7,5,2,4,8,3] => [6,1,5,8,4,2,7,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,4,1,7,3,5,6,2] => [4,8,6,7,1,5,2,3] => [8,4,7,6,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,5,7,3,6] => [4,1,8,7,3,2,5,6] => [8,1,4,7,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,8,5,4,7,3] => [1,6,7,5,8,2,4,3] => [1,7,6,8,5,4,2,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,4,5,6,8,3,1,7] => [3,2,8,4,5,6,1,7] => [2,4,3,5,6,8,1,7] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[3,8,4,2,1,6,5,7] => [2,4,3,8,6,1,5,7] => [3,2,6,4,8,5,1,7] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[3,4,7,1,2,6,8,5] => [7,1,3,4,8,2,6,5] => [3,1,4,8,7,5,2,6] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[4,1,8,6,5,2,3,7] => [4,5,2,1,6,8,3,7] => [8,4,1,3,5,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,8,6,2,1,7] => [2,6,3,4,5,8,1,7] => [3,2,4,5,8,6,1,7] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[8,6,3,5,4,7,1,2] => [7,1,6,5,3,8,4,2] => [5,1,7,8,3,6,2,4] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[2,5,3,7,1,8,6,4] => [7,2,5,6,3,8,1,4] => [2,5,8,7,3,6,4,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,5,1,8,6,3,7,2] => [5,7,6,4,1,8,3,2] => [7,4,5,8,3,6,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,7,2,4,5,3,8,6] => [1,7,5,2,4,8,3,6] => [1,5,8,3,2,7,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,5,3,4,6,1,7,2] => [6,7,5,3,8,4,1,2] => [7,6,8,1,5,2,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,5,3,7,1,8,6,2] => [7,6,5,4,3,8,1,2] => [4,5,7,8,1,6,3,2] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[6,2,8,7,1,3,5,4] => [7,6,1,5,3,2,8,4] => [5,6,2,8,3,4,7,1] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[4,5,3,6,1,8,7,2] => [6,7,5,4,3,1,8,2] => [5,4,6,8,1,3,7,2] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[8,4,7,6,2,5,1,3] => [5,6,1,7,4,8,2,3] => [8,7,2,5,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,6,2,1,5] => [2,6,7,8,1,3,4,5] => [8,2,7,6,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,5,6,4,1,2] => [4,1,3,6,7,5,8,2] => [3,1,8,4,6,2,7,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[10,1,9,2,8,3,7,4,6,5] => [10,9,8,7,6,4,3,2,1,5] => [6,7,8,9,10,2,3,4,5,1] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,5,6,3,8,2,7,4] => [1,8,6,7,5,3,2,4] => [1,5,7,6,8,3,4,2] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[2,6,3,5,7,8,1,4] => [8,2,6,1,3,5,7,4] => [2,6,7,3,4,1,8,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,7,5,3,6,2,8,4] => [1,6,5,7,8,4,2,3] => [1,7,8,6,5,2,4,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,4,5,3,7,2,8,6] => [1,7,5,4,3,8,2,6] => [1,4,5,8,2,7,6,3] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[6,5,1,4,2,7,8,3] => [5,4,6,3,8,2,7,1] => [6,7,4,1,5,2,8,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[6,5,1,4,2,8,7,3] => [5,4,6,3,7,2,8,1] => [6,8,4,1,5,2,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,5,6,8,4,7,2] => [3,7,1,8,5,6,4,2] => [6,3,2,5,7,8,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,8,3,2,1,7,4,6] => [2,3,8,7,5,4,1,6] => [5,2,3,7,8,1,6,4] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,4,8,2,6,5,3,7] => [1,8,5,4,6,2,3,7] => [1,4,5,8,6,3,2,7] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[8,5,1,3,6,2,4,7] => [5,8,2,1,6,3,4,7] => [8,5,1,3,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,1,2,3,8,6] => [7,1,2,5,4,8,3,6] => [5,1,2,8,3,7,6,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,6,7,3,4,1,8,5] => [4,2,7,3,8,6,1,5] => [2,7,4,1,6,8,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,6,1,2,8,7,5,4] => [6,1,3,5,7,2,8,4] => [3,1,6,8,5,4,7,2] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[3,7,6,1,8,2,4,5] => [6,7,3,1,4,8,2,5] => [7,3,8,2,1,6,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,4,7,2,6,3,8,5] => [1,7,6,4,8,2,3,5] => [1,4,7,8,6,5,3,2] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[2,6,8,1,4,7,3,5] => [8,2,7,1,3,6,4,5] => [2,6,7,3,4,8,5,1] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,4,6,8,3,7,2,5] => [1,7,8,4,2,6,3,5] => [1,6,4,7,3,8,5,2] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,5,8,6,7,3,4,2] => [1,4,7,3,5,8,6,2] => [1,5,4,2,8,7,3,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,6,5,8,7,2,4,3] => [1,7,4,2,6,5,8,3] => [1,4,6,3,8,2,7,5] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,5,7,6,2,8,3,4] => [1,6,7,2,5,8,3,4] => [1,7,5,3,8,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,2,5,8,6,7,4,3] => [1,2,4,7,5,8,6,3] => [1,2,5,4,8,7,3,6] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,2,6,5,7,3,8,4] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,7,5,8,6,4,2,3] => [1,4,2,6,8,7,3,5] => [1,8,2,4,6,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,8,6,4,2,1,5] => [2,4,6,8,1,7,3,5] => [8,2,6,4,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,3,4,8,1,5] => [8,2,6,3,1,7,4,5] => [2,6,8,1,4,7,5,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,5,6,8,1,3,7,4] => [8,2,1,7,5,6,3,4] => [2,5,1,6,7,8,4,3] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[4,7,5,8,3,6,2,1] => [2,6,8,4,7,3,5,1] => [6,2,4,8,7,3,1,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,3,6,7,5,2,4,1] => [4,5,7,3,8,2,6,1] => [8,7,4,1,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,7,3,6,2,1] => [2,6,7,8,4,3,5,1] => [8,2,7,6,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,8,5,6,3,1] => [3,2,6,4,8,5,7,1] => [2,4,3,7,6,1,8,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[2,7,4,6,1,5,3,8] => [6,2,5,7,1,4,3,8] => [2,6,7,5,4,1,3,8] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[2,7,3,1,6,5,4,8] => [3,2,7,5,6,1,4,8] => [2,5,3,7,6,4,1,8] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,8,5,7,2,3,6,4] => [1,7,2,6,8,3,5,4] => [1,7,2,8,6,5,3,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,1,3,8,4,2,5,7] => [6,4,1,8,2,3,5,7] => [6,8,2,4,3,5,1,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,1,7,2,3,4,6] => [8,7,2,3,5,4,1,6] => [5,7,1,2,8,3,6,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[8,7,6,4,2,1,5,3] => [2,4,6,5,3,7,8,1] => [8,2,4,5,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,1,4,7,2,6] => [8,7,3,1,5,2,4,6] => [3,5,7,2,8,4,6,1] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[3,8,7,5,2,6,4,1] => [4,6,3,5,7,1,8,2] => [4,3,8,6,5,2,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,6,3,1,8,7,2,5] => [3,6,7,4,1,2,8,5] => [6,4,3,8,2,5,7,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,8,7,5,1,2,6,4] => [5,1,3,7,6,4,8,2] => [3,1,8,5,6,2,7,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[8,1,3,5,6,2,4,7] => [8,6,1,2,3,5,4,7] => [6,8,2,3,4,1,5,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,3,7,1,4,6,2] => [7,6,8,1,5,4,3,2] => [6,7,5,3,8,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,8,3,2,4,7,6,1] => [6,3,7,1,5,8,4,2] => [5,7,3,2,8,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[2,5,1,4,3,6,7,8] => [5,2,4,1,3,6,7,8] => [2,4,5,3,1,6,7,8] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[5,3,8,2,4,6,1,7] => [6,8,5,2,3,4,1,7] => [6,5,8,2,3,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,5,8,3,2,6,1,7] => [6,3,8,4,5,2,1,7] => [4,5,3,6,8,1,2,7] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[4,1,5,8,3,6,2,7] => [4,6,8,1,5,3,2,7] => [6,5,4,3,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,5,8,3,6,1,2,7] => [6,1,8,4,5,3,2,7] => [5,1,4,6,8,2,3,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[2,6,7,8,3,1,5,4] => [3,2,8,5,1,6,7,4] => [2,5,3,6,4,7,8,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[4,7,8,5,2,3,1,6] => [3,5,2,4,8,1,7,6] => [4,3,1,7,5,2,8,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[2,6,7,8,4,1,3,5] => [4,2,1,8,3,6,7,5] => [2,6,1,4,3,7,8,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[8,1,4,6,7,2,3,5] => [8,7,2,1,3,4,6,5] => [7,8,1,3,4,5,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,1,8,2,5,3,6] => [4,7,8,5,3,1,2,6] => [8,5,4,7,1,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,7,2,8,3,5] => [4,6,7,8,1,2,3,5] => [8,7,6,4,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,3,1,2,4,5] => [3,1,7,2,4,6,8,5] => [6,1,3,2,4,8,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[7,4,8,3,1,2,6,5] => [3,1,8,7,6,2,4,5] => [6,1,3,7,8,5,4,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[8,4,5,3,1,6,7,2] => [3,5,7,8,4,2,6,1] => [8,7,3,5,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,1,6,8,3,4] => [5,7,8,3,2,1,6,4] => [8,7,5,1,3,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,3,4,2,5,6] => [8,4,7,3,2,5,1,6] => [4,8,7,1,2,3,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,1,8,3,2,7,4,5] => [6,3,8,7,4,1,2,5] => [6,8,3,7,1,5,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,5,1,6,4,8,2,3] => [5,7,1,8,6,2,3,4] => [8,6,2,5,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,6,8,5,2,7] => [1,5,3,4,8,6,2,7] => [1,3,4,6,5,8,2,7] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,4,6,8,5,2,7,3] => [1,5,8,4,7,6,3,2] => [1,5,4,7,6,8,2,3] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,3,4,6,8,5,7,2] => [1,7,3,4,8,6,5,2] => [1,3,4,7,6,8,2,5] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,7,4,3,2,5,6,8] => [1,3,4,7,2,5,6,8] => [1,7,3,4,2,5,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,1,3,4,6,2,8,7] => [5,6,1,3,4,2,8,7] => [6,5,2,1,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,8,4,5,7,2,6,1] => [6,7,3,8,4,2,5,1] => [7,3,8,6,1,4,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,4,7,5,6,2,1] => [2,6,3,8,7,5,4,1] => [3,2,8,6,7,1,4,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,1,7,6,3,8,5,2] => [4,5,8,1,6,7,2,3] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,8,5,3,6,2] => [4,7,6,5,8,1,2,3] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,8,6,7,2,3] => [4,5,1,7,2,8,6,3] => [8,5,2,4,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,4,5,3,7,1] => [7,6,5,8,4,2,3,1] => [6,7,8,5,1,3,2,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[4,7,3,8,2,6,5,1] => [5,6,8,4,7,3,1,2] => [7,5,4,8,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,2,1,3,7,4,8,5] => [2,6,1,7,8,3,4,5] => [8,2,1,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,8,1,3,6,4] => [8,7,1,6,2,3,5,4] => [6,7,2,8,4,5,1,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,3,6,7,2,4,5,1] => [5,7,8,2,4,3,6,1] => [8,7,5,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,5,2,1,6,4] => [2,5,3,7,6,4,8,1] => [3,2,8,5,6,1,7,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,6,8,7,3,2] => [4,3,7,1,5,6,8,2] => [4,5,3,2,6,8,7,1] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[6,1,2,4,5,7,8,3] => [6,1,8,2,4,5,7,3] => [7,1,6,3,2,4,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,6,2,4,5,8,7,1] => [7,6,3,2,4,5,8,1] => [3,6,8,1,2,4,7,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,3,4,8,5,6,2] => [7,6,1,3,8,5,4,2] => [7,8,2,1,6,3,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,2,8,6,7,4,3] => [5,1,4,7,2,8,6,3] => [5,1,8,4,3,7,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,8,7,4,2,5,6,1] => [6,4,3,7,2,5,8,1] => [3,6,8,4,1,2,7,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[7,6,3,5,1,8,4,2] => [5,4,8,6,2,7,1,3] => [6,8,4,5,2,7,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,5,3,6,4,7,2] => [8,7,5,6,1,3,4,2] => [5,6,8,7,4,2,1,3] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[7,2,3,8,1,4,5,6] => [8,7,2,1,4,5,3,6] => [7,8,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,5,2,3,8,4,1] => [4,8,1,5,6,7,3,2] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,1,5,8,7,3] => [4,2,6,7,3,5,8,1] => [2,8,6,4,1,3,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,6,2,7,8] => [5,6,3,1,4,2,7,8] => [5,3,6,2,1,4,7,8] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[3,6,4,5,2,8,1,7] => [8,5,3,6,4,2,1,7] => [3,5,8,6,1,2,4,7] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[7,5,1,8,3,6,2,4] => [5,7,6,3,8,1,2,4] => [8,6,7,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,6,3,7,4,2] => [8,4,7,6,1,5,2,3] => [4,8,6,7,3,1,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,6,8,7,2] => [5,7,3,1,4,6,8,2] => [5,3,6,2,1,8,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[7,6,5,4,1,3,8,2] => [4,5,2,6,7,8,3,1] => [8,7,1,4,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,1,8,2,3] => [4,5,1,6,7,8,2,3] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,1,5,7,2,8] => [4,6,3,7,2,5,1,8] => [6,3,7,4,1,2,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[2,5,1,4,6,7,8,3] => [5,2,8,1,4,6,7,3] => [2,6,5,3,1,7,8,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[7,6,5,2,8,4,1,3] => [4,8,2,5,6,7,1,3] => [8,4,1,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,5,2,8,7,4] => [3,5,1,6,7,4,8,2] => [8,3,2,6,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => [1,4,8,3,2,7,6,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,7,3,4,5,1,8,6] => [5,2,7,3,4,8,1,6] => [2,8,5,1,3,7,6,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,8,3,6,1] => [6,5,8,7,2,3,4,1] => [7,8,5,6,3,2,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,8,1,7,4,2,6,5] => [8,4,3,7,6,2,1,5] => [3,4,7,6,8,2,5,1] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[8,1,7,4,3,5,6,2] => [8,6,4,7,3,5,1,2] => [4,7,8,6,1,2,5,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[6,8,2,4,5,3,7,1] => [7,8,5,2,4,6,3,1] => [6,5,7,2,1,8,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[5,6,8,2,1,3,7,4] => [2,8,1,7,5,6,3,4] => [5,2,1,6,7,8,4,3] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[5,7,3,8,6,4,2,1] => [2,4,6,8,5,7,3,1] => [6,2,5,4,8,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,3,6,5,4,8,1,2] => [8,1,7,5,6,3,4,2] => [5,1,6,8,7,3,2,4] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,4,2,3,8,6,7,5] => [1,4,2,3,7,8,6,5] => [1,4,2,3,8,7,5,6] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[6,1,3,4,7,8,5,2] => [6,5,1,3,8,4,7,2] => [6,7,2,1,5,3,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[3,6,1,8,4,5,7,2] => [6,7,3,8,4,1,5,2] => [7,3,8,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,2,8,7,3,4,6,1] => [6,5,7,3,2,4,8,1] => [6,8,5,1,3,2,7,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,6,8,4,5,3,7,2] => [1,7,5,8,4,6,3,2] => [1,6,7,5,2,8,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[7,4,8,6,3,1,2,5] => [3,1,6,8,4,7,2,5] => [8,1,3,6,2,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,4,1,2,5,7] => [4,1,3,8,2,6,5,7] => [3,1,6,4,2,8,5,7] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[8,1,3,5,7,4,2,6] => [8,4,1,7,3,2,5,6] => [4,8,2,7,1,5,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,1,8,5,4,7,2,6] => [3,7,1,5,8,2,4,6] => [7,3,2,8,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,2,5,1,8,7,3,6] => [5,4,7,2,1,3,8,6] => [5,8,4,2,3,1,7,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,3,1,5,7,2,4] => [3,6,8,2,1,7,5,4] => [8,6,3,1,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,1,4,7,6,2] => [3,8,6,2,5,7,4,1] => [6,3,5,1,8,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,7,1,2,5,3,6,8] => [7,1,5,4,2,3,6,8] => [4,1,5,7,3,2,6,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[6,8,4,1,3,7,2,5] => [4,8,2,7,1,6,3,5] => [7,4,1,6,3,8,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,2,6,1,7,8,5,4] => [6,3,2,5,8,1,7,4] => [3,6,1,7,5,4,8,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[7,6,4,1,8,3,5,2] => [4,6,5,7,2,8,1,3] => [8,5,7,4,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,6,7,3,2,8] => [4,3,5,7,2,6,1,8] => [5,6,3,4,1,7,2,8] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[7,4,1,6,5,8,2,3] => [4,7,1,8,6,2,5,3] => [7,6,2,4,8,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,4,1,2,7,5,3,8] => [4,1,6,5,7,3,2,8] => [7,1,4,6,5,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,4,3,5,2,8,6,1] => [6,5,4,8,1,7,2,3] => [5,6,8,4,3,7,2,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,2,8,3,6,4,7,1] => [7,5,8,6,2,3,4,1] => [6,8,5,7,3,2,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,5,1,7,2,3,6,4] => [5,8,1,7,6,4,2,3] => [8,5,2,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,1,3,4,8,6] => [5,7,1,3,2,8,4,6] => [8,5,2,1,4,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,8,5,2,6,7] => [1,5,3,4,8,2,6,7] => [1,3,4,8,5,2,6,7] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[8,2,4,6,1,7,3,5] => [6,8,7,2,3,4,1,5] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,1,5,6,8,3] => [2,7,8,4,1,5,6,3] => [7,2,4,8,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,2,3,6,7,1,4] => [7,8,2,1,5,3,6,4] => [7,5,1,3,8,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,5,7,2,3,6,8,4] => [1,7,2,8,5,3,6,4] => [1,7,2,5,8,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,2,5,7,8,4,1,6] => [4,3,2,8,5,1,7,6] => [3,5,1,4,7,2,8,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[4,2,5,3,7,8,1,6] => [8,4,5,2,3,1,7,6] => [4,7,5,2,1,3,8,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[4,3,5,1,6,2,7,8] => [5,6,4,3,1,2,7,8] => [5,4,6,1,3,2,7,8] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[8,6,3,5,4,1,2,7] => [4,1,5,6,2,8,3,7] => [8,1,5,4,3,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,7,4,3,6,2] => [5,8,4,6,7,1,2,3] => [7,4,8,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,7,6,2,1,3,4] => [2,6,1,3,7,8,4,5] => [8,2,1,3,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,8,3,2,7,6] => [5,3,8,1,4,7,2,6] => [5,7,3,2,1,8,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,4,3,8,7,2,6,5] => [1,7,4,3,6,2,8,5] => [1,4,6,2,8,5,7,3] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[5,4,3,1,7,6,2,8] => [3,4,5,6,1,7,2,8] => [7,5,3,4,2,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,2,7,8,5,1,6,3] => [5,4,8,2,6,3,7,1] => [5,7,4,2,6,1,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[3,8,6,1,7,4,2,5] => [6,4,3,8,1,7,2,5] => [3,6,8,4,2,7,5,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[7,5,2,4,8,3,6,1] => [6,5,7,3,8,2,4,1] => [7,8,6,1,5,3,2,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,2,8,4,3,5,1] => [5,6,4,7,2,8,3,1] => [7,5,8,4,2,6,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,6,4,7,5,2,1] => [2,5,3,7,6,8,1,4] => [3,2,8,5,7,6,4,1] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[7,2,6,5,8,3,4,1] => [4,7,8,3,6,2,5,1] => [7,6,4,1,8,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,3,1,4,2,7,8] => [3,6,4,2,5,1,7,8] => [5,3,4,1,6,2,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[3,1,5,4,2,6,7,8] => [3,4,1,5,2,6,7,8] => [5,3,2,4,1,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[5,2,3,6,7,4,1,8] => [4,7,1,5,3,6,2,8] => [6,4,2,5,1,7,3,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[3,6,2,4,7,8,5,1] => [5,8,3,1,6,4,7,2] => [5,3,7,2,6,1,8,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[3,7,6,2,5,4,8,1] => [8,6,3,5,2,7,4,1] => [3,5,6,8,2,7,1,4] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[7,5,1,2,6,4,8,3] => [5,1,7,8,6,3,2,4] => [8,1,6,5,7,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,6,5,3,7,4] => [2,1,5,6,8,7,3,4] => [2,1,8,6,5,7,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,4,7,3,8,1] => [8,5,6,3,7,4,2,1] => [5,8,7,1,6,2,3,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,1,5,7,4,8,2,3] => [6,8,2,7,1,5,4,3] => [8,6,1,7,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,3,7,5,2,6] => [8,5,4,1,7,2,3,6] => [4,5,8,3,7,2,6,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,4,5,7,2,1,3,6] => [2,7,1,8,4,3,5,6] => [8,2,1,7,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,1,5,8,2,3] => [6,8,2,7,1,4,5,3] => [8,6,1,7,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,1,2,3,6,7] => [5,1,2,4,8,3,6,7] => [4,1,2,8,5,3,6,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[8,6,2,4,5,1,3,7] => [5,6,1,2,4,8,3,7] => [8,5,2,3,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,3,8,6,2,7] => [5,6,1,4,3,8,2,7] => [5,4,2,8,1,6,3,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,2,7,1,3,6,8,5] => [7,4,1,2,8,3,6,5] => [4,8,2,3,7,5,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,3,6,5,2,7,4,1] => [4,7,5,6,8,3,1,2] => [8,4,7,6,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,8,3,2,7,1] => [7,3,8,5,4,6,2,1] => [5,6,3,7,1,8,2,4] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[7,4,2,3,6,8,5,1] => [5,4,1,8,7,3,6,2] => [5,8,2,4,7,1,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,4,8,3,5] => [2,1,8,7,3,6,4,5] => [2,1,6,7,4,8,5,3] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[6,4,5,7,2,8,3,1] => [3,8,7,6,4,5,1,2] => [7,3,6,8,1,2,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,5,6,4,7,2,8,3] => [1,7,8,6,5,4,2,3] => [1,6,5,7,8,2,4,3] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[7,8,1,3,6,4,5,2] => [8,5,1,6,4,3,7,2] => [5,7,2,6,1,3,8,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[7,2,6,8,4,5,3,1] => [3,5,7,8,4,1,6,2] => [8,7,3,5,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,1,6,2,4,3] => [8,6,4,2,7,1,5,3] => [4,6,8,2,7,5,1,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,2,6,8,5,1,4,3] => [5,8,4,2,7,1,6,3] => [5,4,8,2,7,3,1,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,5,2,4,8,3,1,6] => [3,8,5,1,7,2,4,6] => [8,3,5,2,7,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,6,4,1,5,2] => [4,6,5,8,2,1,7,3] => [7,5,6,4,2,3,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,3,8,1,6,4,5,2] => [8,5,7,6,4,1,3,2] => [5,8,6,7,1,4,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,2,8,1,4,6,3] => [8,5,7,1,6,4,3,2] => [5,8,6,3,7,1,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,7,8,2,6,5,1,4] => [5,6,3,2,8,1,7,4] => [6,3,7,1,5,4,8,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[6,7,8,2,5,4,3,1] => [3,4,5,8,2,6,7,1] => [6,5,3,4,1,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,7,8,3,1,5,4,2] => [3,8,4,5,2,6,7,1] => [6,3,4,5,1,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[7,8,1,6,2,5,4,3] => [8,6,4,5,2,1,7,3] => [4,5,7,6,2,3,8,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[4,1,8,3,7,6,5,2] => [4,5,6,1,7,8,3,2] => [8,7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,8,3,4,7,2] => [5,7,8,3,1,6,4,2] => [7,6,5,1,4,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,1,6,8,5,4,3,2] => [7,3,4,5,8,1,6,2] => [3,8,4,7,5,2,1,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,2,5,3,1,8] => [3,5,6,4,1,7,2,8] => [5,4,3,7,2,6,1,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[6,8,7,4,1,2,3,5] => [4,1,2,7,3,6,8,5] => [6,1,2,4,3,8,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[8,5,7,1,3,6,2,4] => [7,6,1,2,8,3,5,4] => [7,8,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,1,2,7,6,5,3] => [8,1,5,4,6,7,2,3] => [4,1,5,8,6,7,3,2] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[3,6,2,1,8,5,7,4] => [2,6,3,7,8,1,5,4] => [3,2,8,7,6,5,1,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,8,2,7,5,1,4,6] => [5,7,3,2,8,4,1,6] => [7,3,8,1,5,2,6,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,6,5,2,7,3,4,8] => [1,5,6,2,7,3,4,8] => [1,7,6,3,5,4,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,1,7,2,4,3,5,8] => [6,7,4,2,3,1,5,8] => [6,4,7,2,1,5,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,3,7,4,5,2,6,8] => [1,5,3,7,4,2,6,8] => [1,3,7,5,2,4,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[6,2,4,8,3,5,1,7] => [5,6,8,2,3,4,1,7] => [8,6,5,2,3,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,8,9,6,7] => [1,2,3,4,5,9,6,8,7] => [1,2,3,4,5,8,6,9,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,4,6,8,3,7,5] => [1,2,8,4,7,6,3,5] => [1,2,4,6,7,8,5,3] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,5,8,2,6,7,4] => [1,8,3,7,5,2,6,4] => [1,3,5,7,8,4,2,6] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[2,8,7,3,6,5,4,1] => [4,2,5,6,7,3,8,1] => [2,8,6,4,5,1,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,4,3,6,7,2,5] => [8,7,4,1,2,3,6,5] => [4,7,8,3,2,5,1,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[2,6,8,4,3,1,7,5] => [3,2,4,8,7,6,1,5] => [2,6,3,4,7,8,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[8,1,6,5,2,4,3,7] => [8,5,4,2,6,1,3,7] => [4,5,8,2,6,3,1,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[3,8,6,5,1,2,4,7] => [5,1,3,2,6,8,4,7] => [3,1,8,2,5,6,4,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[5,7,8,1,4,3,2,6] => [8,3,4,1,5,2,7,6] => [3,5,4,2,7,1,8,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,4,7,2,3,6,8,5] => [1,7,2,4,8,3,6,5] => [1,4,2,8,7,5,3,6] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,7,1,4,3,5,8,6] => [7,2,4,1,3,8,5,6] => [2,4,8,3,1,7,6,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,1,5,7,3,4,2,6] => [8,4,7,3,1,2,5,6] => [4,8,7,1,3,5,6,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,1,3,2,7,4,6] => [5,3,1,8,7,2,4,6] => [3,8,2,5,7,4,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,3,8,7,5,4] => [2,1,6,5,7,3,8,4] => [2,1,6,8,5,4,7,3] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[6,3,1,4,2,7,8,5] => [3,6,4,2,8,1,7,5] => [7,3,4,1,6,5,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,1,7,6,5,2,8,4] => [3,5,1,6,7,8,2,4] => [8,3,2,7,5,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,4,3,7,6,5] => [1,2,4,8,6,7,3,5] => [1,2,6,4,8,7,5,3] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[5,3,1,8,6,2,4,7] => [3,5,6,1,2,8,4,7] => [8,5,3,2,4,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,8,3,5,2,6] => [1,5,8,7,3,2,4,6] => [1,8,5,7,3,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,4,8,5,1,6] => [5,3,8,1,7,2,4,6] => [5,8,3,2,7,4,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,8,6,4,1,7,3,5] => [4,2,6,8,3,7,1,5] => [2,8,6,4,1,7,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,7,6,4,3,5] => [1,2,4,6,3,7,8,5] => [1,2,8,4,3,6,7,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,7,8,4,2,3] => [1,4,2,8,6,5,7,3] => [1,6,2,4,7,3,8,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[4,8,2,6,3,5,1,7] => [5,8,6,4,3,2,1,7] => [6,4,5,8,1,2,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,1,5,8,2,7,4,6] => [3,8,1,7,5,4,2,6] => [5,3,2,7,8,1,6,4] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[6,4,1,5,3,2,7,8] => [4,3,6,5,2,1,7,8] => [4,6,3,5,1,2,7,8] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[6,2,1,5,4,3,7,8] => [2,6,4,5,1,3,7,8] => [4,2,6,5,3,1,7,8] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[3,1,8,5,4,6,2,7] => [3,6,1,5,8,4,2,7] => [6,3,2,8,5,1,4,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,1,8,4,5,3,2,7] => [6,3,5,8,4,1,2,7] => [3,8,6,5,1,4,2,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,8,5,7,4,2] => [3,4,1,7,8,6,5,2] => [7,3,2,4,6,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,3,8,4,5,2,1,7] => [2,5,6,8,4,3,1,7] => [8,2,6,5,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,7,2,3,4,1] => [4,7,2,3,6,5,8,1] => [6,4,1,2,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,3,8,4,5,2,7,1] => [7,5,6,8,4,3,2,1] => [6,8,7,5,1,2,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,1,6,8,5,3,7,4] => [2,1,5,8,7,6,4,3] => [2,1,7,5,6,8,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[4,1,8,5,2,6,3,7] => [4,5,8,1,6,3,2,7] => [8,5,4,3,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,7,4,1,2,3] => [4,1,2,7,6,5,8,3] => [6,1,2,4,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,2,8,4,5,7,1,3] => [7,6,1,8,4,2,5,3] => [7,8,2,6,1,5,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,1,8,4,5,7,3,2] => [6,3,7,8,4,1,5,2] => [7,8,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,6,2,4,8,5,7,1] => [7,6,3,2,8,4,5,1] => [3,7,8,1,6,4,2,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,5,1,8,4,7,6,2] => [5,6,3,7,1,8,2,4] => [7,3,8,5,4,6,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,4,8,3,7,6,5,1] => [5,2,6,4,7,8,3,1] => [2,7,4,8,5,6,1,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,7,4,8,3,2,6,1] => [6,3,8,7,5,2,4,1] => [5,7,3,6,8,2,1,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[2,6,8,5,4,3,7,1] => [7,2,4,5,8,6,3,1] => [2,4,7,6,5,8,1,3] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[4,6,8,3,2,5,7,1] => [7,3,8,4,2,6,5,1] => [4,6,3,7,1,8,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[4,6,2,8,3,5,7,1] => [7,6,8,4,3,2,5,1] => [6,7,4,8,1,3,2,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[3,5,8,2,7,4,6,1] => [6,8,3,7,5,4,2,1] => [5,3,7,6,8,1,2,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[2,6,7,8,5,1,4,3] => [5,2,4,1,8,6,7,3] => [2,4,6,3,5,7,8,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[6,5,3,1,7,4,8,2] => [3,5,6,8,7,1,2,4] => [8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,6,3,2,8,4] => [5,3,7,6,8,2,4,1] => [6,8,3,7,5,2,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,1,5,2,3,8,4,6] => [7,5,2,8,1,4,3,6] => [7,8,1,5,4,2,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,7,6,3,4,1,8,5] => [4,2,6,3,7,8,5,1] => [2,8,4,1,7,6,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,3,1,2,8,4] => [3,1,6,7,5,8,4,2] => [7,1,3,5,8,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,5,1,4,8,2,3] => [5,7,1,2,8,6,4,3] => [7,6,2,3,5,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,8,2,1,7,5,6,3] => [2,8,6,4,7,5,1,3] => [4,2,6,8,7,1,5,3] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[6,3,8,5,7,2,4,1] => [4,7,6,2,8,3,5,1] => [8,4,7,2,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,8,6,2,3,7] => [1,6,2,5,4,8,3,7] => [1,5,2,8,3,6,4,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[8,3,4,7,1,5,6,2] => [7,6,8,3,1,5,4,2] => [7,8,6,1,4,2,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,7,4,2,8,3,6] => [5,4,7,8,1,2,3,6] => [7,8,5,4,3,2,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,3,2,8,7,6,1,4] => [6,3,5,1,2,7,8,4] => [3,8,5,2,4,6,7,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,8,1,7,5,3,4] => [8,6,5,3,7,2,1,4] => [5,7,8,1,6,3,4,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[3,5,1,8,7,6,2,4] => [5,6,3,2,1,7,8,4] => [5,3,8,1,4,6,7,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,4,2,3,6,5,8,7,9] => [1,4,2,3,6,5,8,7,9] => [1,4,2,3,6,5,8,7,9] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,4,2,3,6,5,8,7,10,9] => [1,4,2,3,6,5,8,7,10,9] => [1,4,2,3,6,5,8,7,10,9] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,2,4,6,5,8,7,9] => [3,1,2,4,6,5,8,7,9] => [3,1,2,4,6,5,8,7,9] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[4,7,3,5,6,8,1,2] => [8,1,7,4,3,5,6,2] => [4,1,7,8,2,3,5,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[4,7,8,3,5,6,1,2] => [6,1,8,4,3,5,7,2] => [6,1,4,7,2,3,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[2,1,3,4,5,6,9,7,8] => [2,1,3,4,5,6,9,7,8] => [2,1,3,4,5,6,9,7,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,5,1,4,8,6,7] => [5,3,2,1,4,8,6,7] => [3,5,1,2,4,8,6,7] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[2,1,3,4,5,6,7,10,8,9] => [2,1,3,4,5,6,7,10,8,9] => [2,1,3,4,5,6,7,10,8,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[8,4,5,2,6,3,7,1] => [7,5,6,8,4,2,3,1] => [6,8,7,5,1,3,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,3,2,4,7,8,1,6] => [8,3,5,2,4,1,7,6] => [3,7,5,1,2,4,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[4,7,3,1,6,8,2,5] => [3,7,8,4,1,2,6,5] => [7,4,3,8,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,7,4,6,8,3,2,5] => [1,3,8,7,2,4,6,5] => [1,7,3,8,4,5,2,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,3,7,8,6,5,2,4] => [1,5,3,2,6,8,7,4] => [1,3,7,2,5,6,8,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[5,2,6,8,1,7,3,4] => [8,5,7,3,2,6,1,4] => [5,7,6,1,3,8,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[5,2,7,6,1,8,3,4] => [6,5,7,1,2,8,3,4] => [7,8,5,3,4,6,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,3,2,7,6,4,8,5] => [1,3,2,6,7,8,5,4] => [1,3,2,8,7,6,4,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[4,1,2,7,5,3,8,6] => [4,1,5,2,7,8,3,6] => [8,1,4,3,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,7,2,4,8,5] => [6,7,1,2,8,3,4,5] => [8,7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,7,8,5,1,6,4] => [5,2,3,8,6,4,7,1] => [2,3,7,5,6,1,8,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[6,2,8,5,7,4,3,1] => [3,4,7,6,8,2,5,1] => [8,4,3,7,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,6,2,3,8,5] => [4,6,2,1,7,8,5,3] => [8,4,1,3,7,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,7,4,3,5,8] => [1,2,4,7,3,6,5,8] => [1,2,6,4,3,7,5,8] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[3,6,7,4,5,1,8,2] => [5,8,3,7,4,6,1,2] => [5,3,7,6,1,8,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,1,2,6,4,8,3,7] => [5,1,8,6,2,4,3,7] => [8,1,5,6,4,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,9,1,2,3,4,5,6] => [9,1,2,3,4,5,8,7,6] => [8,1,2,3,4,5,9,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[3,4,8,2,5,6,1,7] => [6,8,3,4,2,5,1,7] => [4,3,6,8,1,2,5,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[8,5,6,3,7,1,4,2] => [7,4,6,1,8,5,3,2] => [4,8,7,3,6,1,2,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,3,2,5,7,4,6] => [8,3,1,7,2,4,5,6] => [3,7,2,8,4,5,6,1] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[6,3,2,5,8,4,1,7] => [4,3,8,6,1,5,2,7] => [4,8,3,6,2,1,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,2,8,4,1,3] => [4,8,2,7,5,6,1,3] => [6,4,1,5,7,8,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[3,4,1,7,6,2,8,5] => [4,6,3,1,7,8,5,2] => [4,3,8,2,7,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,8,3,6,4,1,7,2] => [4,6,7,8,5,1,2,3] => [7,6,5,4,8,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,5,8,3,2,1,4,6] => [2,3,8,1,7,4,5,6] => [7,2,3,1,8,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,4,7,1,5,8,3,6] => [7,2,8,4,1,3,5,6] => [2,7,4,8,3,5,6,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,5,8,1,3,4,7,6] => [8,2,1,3,5,7,4,6] => [2,5,1,3,7,8,6,4] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,4,8,7,5,2,3,6] => [1,5,2,4,7,3,8,6] => [1,4,2,8,5,3,7,6] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[6,7,1,2,5,3,8,4] => [7,1,5,8,2,6,3,4] => [6,1,7,5,4,8,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[4,6,1,3,8,2,7,5] => [6,8,1,4,7,3,2,5] => [6,4,2,8,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,6,1,2,3,5,8,4] => [6,1,2,7,4,8,5,3] => [8,1,2,7,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,2,3,5,7,4] => [6,1,2,8,4,7,5,3] => [8,1,2,6,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,7,4,3,1,5] => [3,4,7,8,1,2,6,5] => [8,7,3,4,2,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,2,6,3,8,4] => [5,1,7,6,8,3,4,2] => [8,1,6,7,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,6,2,8,5,4] => [3,6,1,5,7,8,4,2] => [7,3,2,8,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,3,6,7,4,2,8,1] => [8,4,7,5,2,6,3,1] => [4,7,5,6,2,8,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[2,4,5,1,8,7,6,3] => [5,2,6,4,1,7,8,3] => [2,5,4,8,3,6,7,1] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[8,2,7,3,1,4,6,5] => [3,7,8,2,6,4,1,5] => [7,6,3,1,8,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,6,8,2,1,4,7,5] => [2,8,3,1,7,6,4,5] => [3,2,6,1,7,8,5,4] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[5,4,2,8,6,7,3,1] => [3,7,4,5,1,8,6,2] => [8,3,4,5,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,2,8,7,3,5] => [6,4,7,1,3,2,8,5] => [6,8,4,3,1,5,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,7,6,4,5,8,2,3] => [1,8,2,6,4,7,5,3] => [1,6,2,8,3,7,4,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,2,6,8,4,5,1] => [5,7,3,8,4,2,6,1] => [7,3,8,5,1,2,4,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,3,8,7,2,6,4,5] => [1,7,3,6,4,2,8,5] => [1,3,6,8,2,5,7,4] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[5,1,8,6,4,2,7,3] => [5,4,6,8,1,7,2,3] => [6,8,5,4,3,7,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,2,1,8,5,7,4,3] => [2,6,4,7,8,1,5,3] => [7,2,8,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,4,7,2,3,8,6,1] => [6,8,1,5,4,7,3,2] => [6,5,2,8,1,7,3,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,4,6,2,3,1,8,7] => [3,6,2,5,4,1,8,7] => [5,3,1,6,2,4,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[2,1,7,6,8,4,5,3] => [2,1,5,8,4,7,6,3] => [2,1,7,5,3,8,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[6,4,7,2,8,3,1,5] => [3,8,7,6,2,4,1,5] => [7,3,6,8,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,7,1,8,5,3,2] => [7,3,5,8,6,2,1,4] => [3,8,6,5,7,2,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,8,2,7,6,5,3] => [1,8,5,4,6,7,2,3] => [1,4,5,8,6,7,3,2] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[4,6,3,1,7,5,8,2] => [3,6,8,4,7,2,5,1] => [6,4,3,8,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,7,3,6,5,2,8,1] => [8,5,6,4,7,2,3,1] => [4,7,5,8,6,2,1,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,7,6,3,1,5,8,2] => [3,6,7,4,1,8,5,2] => [7,4,3,8,2,6,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,4,7,3,8,5,1,6] => [5,2,8,4,7,3,1,6] => [2,5,4,8,7,1,6,3] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,7,3,1,8,5,4,6] => [3,2,7,5,8,4,1,6] => [2,7,3,8,5,1,6,4] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,5,3,1,7,4,8,6] => [3,2,5,7,1,8,4,6] => [2,8,3,5,4,7,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,1,7,5,8,6] => [3,2,4,1,7,8,5,6] => [2,4,3,1,8,7,6,5] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[2,7,3,8,6,5,1,4] => [5,2,6,1,8,7,3,4] => [2,8,6,3,5,7,4,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,2,1,4,8,3] => [2,5,7,3,8,6,4,1] => [7,2,6,1,5,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,8,6,2,1,5,3,4] => [2,6,5,3,1,8,7,4] => [5,2,7,1,4,6,8,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[7,1,6,3,8,4,2,5] => [7,4,8,6,3,1,2,5] => [6,8,4,7,1,5,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,4,2,6,1,7,3] => [6,4,8,7,5,3,1,2] => [6,7,4,5,8,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,6,2,5,7,8,3,4] => [1,6,8,3,2,5,7,4] => [1,7,6,2,4,3,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,2,6,8,3,4,7,5] => [1,2,8,3,7,6,4,5] => [1,2,6,3,7,8,5,4] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,8,2,6,7,3,5,4] => [1,8,7,5,3,2,6,4] => [1,5,7,8,3,4,2,6] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,3,6,8,4,7,2,5] => [1,7,3,8,2,6,4,5] => [1,3,7,6,4,8,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,5,6,8,3,2,4,7] => [1,3,8,2,5,6,4,7] => [1,5,3,2,6,8,4,7] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,8,2,7,3,5,6,4] => [1,8,7,6,3,5,2,4] => [1,6,7,8,3,2,5,4] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,2,8,5,3,4,7,6] => [1,2,5,3,8,7,4,6] => [1,2,7,3,5,8,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,7,4,8,6,5,3,2] => [1,3,5,6,8,7,4,2] => [1,8,3,6,5,7,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,8,7,2,4,3,5] => [1,7,4,2,3,6,8,5] => [1,4,6,3,2,8,7,5] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => [1,6,2,7,8,4,5,3] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,5,4,7,2,8,3,6] => [1,7,8,5,4,3,2,6] => [1,7,5,8,2,3,6,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,8,5,2,6,1,7,4] => [6,5,3,8,7,4,1,2] => [3,7,8,5,6,1,4,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,6,1,5,2,8,7,4] => [6,5,3,7,1,2,8,4] => [3,6,8,5,4,2,7,1] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[8,1,2,6,5,3,4,7] => [8,1,5,3,6,2,4,7] => [5,1,8,2,6,4,3,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,7,4,2,5,6,1,8] => [6,4,3,7,2,5,1,8] => [3,6,7,4,1,2,5,8] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[3,4,2,7,5,1,6,8] => [5,4,3,2,7,1,6,8] => [3,4,7,1,5,2,6,8] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[6,7,1,3,4,2,5,8] => [7,4,1,3,2,6,5,8] => [4,6,2,1,3,7,5,8] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[6,8,7,1,3,4,2,5] => [7,4,1,3,2,6,8,5] => [4,6,2,1,3,8,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[3,7,8,6,1,4,2,5] => [6,4,3,1,2,8,7,5] => [3,4,7,2,1,6,8,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[7,1,6,8,3,4,2,5] => [7,4,8,3,2,1,6,5] => [7,8,4,1,2,5,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,2,8,4,7,1,3,5] => [7,6,1,8,3,2,4,5] => [7,8,2,6,3,5,4,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,7,8,4,2,5,6,1] => [6,4,3,8,2,5,7,1] => [3,6,7,4,1,2,8,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[3,8,4,2,5,6,1,7] => [6,4,3,8,2,5,1,7] => [3,6,8,4,1,2,5,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,6,1,5,2,8,4,7] => [6,5,3,8,1,2,4,7] => [3,6,8,5,4,2,1,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,3,4,8,5,2,6] => [7,5,1,3,8,2,4,6] => [7,8,2,1,5,4,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,3,4,2,5,8,6] => [7,4,1,3,2,8,5,6] => [4,8,2,1,3,7,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,8,5,1,6,7] => [5,4,3,2,8,1,6,7] => [3,4,8,1,5,2,6,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,4,2,6,8,5,1,7] => [5,4,3,2,8,6,1,7] => [3,4,6,1,5,8,2,7] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[8,7,1,3,4,2,5,6] => [7,4,1,3,2,5,8,6] => [4,8,2,1,3,5,7,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[6,8,2,7,5,4,1,3] => [4,5,1,7,8,6,2,3] => [7,6,2,4,5,8,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,8,4,3,7,6,2,5] => [1,6,4,7,3,8,2,5] => [1,7,8,4,2,6,5,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,8,4,5,7,6,2,3] => [1,6,2,7,3,8,5,4] => [1,8,2,7,4,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,8,5,7,1,6,2] => [7,6,4,3,8,1,5,2] => [4,7,8,1,6,5,2,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[5,3,8,4,7,1,6,2] => [7,6,5,8,3,1,4,2] => [6,7,8,5,2,4,1,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,2,8,7,1,4,6,3] => [7,5,6,1,2,4,8,3] => [5,8,6,3,4,1,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,5,8,7,4,1,6,2] => [4,7,3,6,5,2,8,1] => [4,3,6,5,8,1,7,2] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[3,6,7,8,2,4,1,5] => [4,8,3,2,1,6,7,5] => [4,3,6,1,2,7,8,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[3,7,6,8,2,4,1,5] => [4,8,3,2,1,7,6,5] => [4,3,7,1,2,8,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[4,5,6,8,7,3,1,2] => [3,1,7,4,5,6,8,2] => [4,1,3,5,6,8,7,2] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[8,1,7,5,4,3,6,2] => [8,6,4,5,7,3,1,2] => [4,5,8,7,6,1,3,2] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,1,6,4,5,3,8,2] => [7,8,5,6,4,1,3,2] => [6,5,8,7,1,4,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,1,5,3,8,4,7,2] => [6,7,5,8,1,3,4,2] => [7,6,8,5,4,2,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,2,8,3,6,7,5,4] => [1,2,8,5,7,3,6,4] => [1,2,5,8,7,4,3,6] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[8,3,6,1,2,5,4,7] => [6,1,8,5,2,3,4,7] => [6,1,5,8,4,3,2,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,2,7,4,8,1,3,6] => [8,5,1,7,2,3,4,6] => [5,8,2,7,4,3,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,8,4,1,7,5,2,6] => [4,8,3,5,7,1,2,6] => [4,3,8,5,7,2,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,4,5,2,8,1,3,7] => [8,5,1,6,4,2,3,7] => [5,8,2,6,1,4,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,5,4,2,7,6,8,3] => [1,4,5,8,3,7,6,2] => [1,7,5,4,2,8,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,8,2,7,5,1,4,3] => [5,7,4,2,8,6,1,3] => [6,4,7,2,5,8,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[8,3,4,5,6,1,7,2] => [6,7,8,3,4,5,1,2] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,6,8,2,1,3] => [2,8,1,5,4,7,6,3] => [5,2,1,7,3,8,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,2,7,5,8,6,1,3] => [6,4,1,2,8,7,3,5] => [4,8,2,3,6,7,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,5,8,4,1,6] => [4,3,2,8,7,1,5,6] => [3,7,1,4,8,5,6,2] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[4,3,7,2,8,5,1,6] => [5,8,4,3,7,2,1,6] => [5,4,8,1,7,2,6,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,3,6,2,8,5,1,7] => [5,8,4,3,6,1,2,7] => [5,4,8,1,6,3,2,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,3,7,6,8,2,1,4] => [2,8,5,1,3,7,6,4] => [5,2,7,3,4,8,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[3,2,7,6,8,4,1,5] => [4,3,2,8,1,7,6,5] => [3,7,1,4,2,8,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[6,2,7,5,8,4,1,3] => [4,8,2,6,7,1,5,3] => [8,4,1,6,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,8,3,2,6,1] => [6,3,8,4,7,2,5,1] => [4,6,3,8,7,2,1,5] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[7,2,5,3,4,8,1,6] => [8,7,5,3,2,1,4,6] => [5,7,8,1,3,4,6,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,4,8,3,5,1,6,2] => [5,6,8,7,3,1,4,2] => [8,7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,2,3,8,4,1] => [4,8,1,6,7,5,3,2] => [8,4,2,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,6,4,3,8,1] => [8,2,4,6,7,5,3,1] => [2,4,8,6,7,1,3,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,8,4,3,7,5,6,1] => [6,2,4,8,7,5,3,1] => [2,6,8,4,7,1,3,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,4,2,5,6,3,8,1] => [8,4,7,6,3,5,2,1] => [4,8,6,7,1,2,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,4,8,3,7,5,6,1] => [6,2,8,4,7,5,3,1] => [2,6,4,8,7,1,3,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,8,3,7,5,6,2,1] => [2,6,8,4,7,5,3,1] => [6,2,4,8,7,1,3,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,2,5,8,3,7,4,1] => [4,7,6,8,3,5,1,2] => [8,6,7,4,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,8,2,5,6,1] => [6,8,7,4,2,5,3,1] => [7,4,6,8,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,5,6,3,7,4,1] => [4,7,8,6,3,5,1,2] => [8,6,4,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,3,1,2,5,8] => [3,1,7,6,2,4,5,8] => [6,1,3,7,4,5,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[8,5,3,6,1,4,2,7] => [6,4,5,1,8,3,2,7] => [4,8,6,3,5,1,2,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,5,1,4,3,2,6] => [5,3,4,1,8,2,7,6] => [3,7,4,2,5,1,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[6,7,3,2,8,4,1,5] => [4,3,8,7,2,6,1,5] => [4,7,3,6,1,8,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[4,7,8,3,1,5,2,6] => [3,8,5,4,2,1,7,6] => [5,3,4,7,1,2,8,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[5,7,8,1,2,6,4,3] => [8,1,4,6,5,2,7,3] => [4,1,6,5,7,3,8,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[6,2,7,3,5,8,1,4] => [8,6,7,1,3,2,5,4] => [6,8,7,3,2,5,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,7,6,5,4,8,1,2] => [8,1,3,5,6,7,4,2] => [3,1,5,8,6,7,2,4] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[5,7,2,8,3,4,6,1] => [6,7,8,3,5,4,2,1] => [7,6,5,1,8,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,3,8,6,7,4,5,1] => [5,2,3,7,4,8,6,1] => [2,3,8,5,1,7,4,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,8,7,4,6,5,1] => [5,2,3,6,7,1,8,4] => [2,3,8,6,5,4,7,1] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,8,5,7,4,6,1] => [6,2,3,7,8,4,5,1] => [2,3,8,7,6,4,1,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,5,2,8,7,4,6,1] => [6,5,3,7,2,4,8,1] => [3,6,8,5,2,1,7,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,5,6,8,7,3,4,2] => [1,4,7,3,5,6,8,2] => [1,5,4,2,6,8,7,3] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[8,1,5,6,3,4,2,7] => [8,4,6,3,1,5,2,7] => [4,8,6,1,3,2,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,5,6,2,4,7] => [1,6,3,2,8,5,4,7] => [1,3,8,2,6,4,5,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,8,5,6,4,1,2,7] => [4,1,3,6,8,5,2,7] => [3,1,8,4,6,2,5,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[5,7,8,3,4,6,2,1] => [2,6,8,3,5,4,7,1] => [6,2,5,1,7,3,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,8,3,1,6,4,2,7] => [3,8,4,6,5,2,1,7] => [6,3,4,5,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,7,5,8,2,6,4,1] => [4,6,3,8,7,1,5,2] => [6,3,8,4,7,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,1,7,8,4,2,6,5] => [3,4,1,8,6,2,7,5] => [6,3,2,4,7,5,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[5,7,8,4,6,1,2,3] => [6,1,2,8,5,4,7,3] => [6,1,2,5,7,3,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,4,6,5,7,2,3,8] => [1,7,2,4,6,5,3,8] => [1,4,2,6,7,3,5,8] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[7,2,4,1,6,5,3,8] => [4,7,5,2,6,1,3,8] => [7,4,5,2,6,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,3,2,6,8,4,7,5] => [1,3,2,8,7,6,4,5] => [1,3,2,6,7,8,5,4] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[2,8,5,1,3,6,7,4] => [5,2,1,8,7,4,6,3] => [2,8,1,5,7,3,4,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,3,5,2,6,4,1] => [4,6,5,7,1,3,8,2] => [8,5,6,4,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,4,7,3,5,8] => [1,2,7,6,3,4,5,8] => [1,2,6,7,4,5,3,8] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[6,3,1,7,2,4,5,8] => [3,6,7,1,4,2,5,8] => [7,6,3,2,1,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,6,8,3,2,4,7,1] => [7,3,8,2,5,6,4,1] => [5,6,3,1,7,8,2,4] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[2,3,4,6,7,8,9,5,1] => [5,2,3,4,9,6,7,8,1] => [2,3,4,6,5,7,8,9,1] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[2,3,4,5,7,8,9,10,6,1] => [6,2,3,4,5,10,7,8,9,1] => [2,3,4,5,7,6,8,9,10,1] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[2,3,4,5,6,7,8,9,11,10,1] => [10,2,3,4,5,6,7,8,9,11,1] => [2,3,4,5,6,7,8,9,11,10,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[4,8,5,2,3,7,6,1] => [6,5,1,4,7,8,3,2] => [4,7,2,8,5,6,1,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[8,6,5,7,3,1,4,2] => [3,7,4,2,6,8,5,1] => [7,3,4,1,8,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,5,6,7,1,3,4,2] => [7,4,1,3,8,5,6,2] => [4,8,2,1,7,3,5,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,8,5,7,3,2,4,1] => [4,3,7,2,8,6,5,1] => [4,7,3,1,6,8,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[7,1,3,2,4,6,5,8] => [7,3,1,2,6,4,5,8] => [3,6,2,1,7,5,4,8] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,2,6,5,8,4,7,3] => [1,2,7,8,6,5,4,3] => [1,2,7,6,8,3,4,5] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[2,1,6,5,8,4,3,7] => [2,1,4,8,6,5,3,7] => [2,1,6,4,8,3,5,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[7,4,6,3,5,1,8,2] => [5,8,6,7,3,4,1,2] => [8,5,7,6,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,5,7,1,8,2] => [7,8,3,6,4,5,1,2] => [6,3,7,8,1,2,5,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[3,5,4,7,1,8,6,2] => [7,6,3,5,4,8,1,2] => [3,5,7,8,1,6,4,2] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[7,1,5,4,2,3,6,8] => [7,4,2,5,1,3,6,8] => [4,7,1,5,3,2,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[7,1,3,6,4,5,2,8] => [7,5,1,6,4,3,2,8] => [5,7,2,6,1,3,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[7,3,6,4,5,1,2,8] => [5,1,7,6,4,3,2,8] => [7,1,5,6,2,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,1,8,7,3,6,5,4] => [2,1,7,5,6,3,8,4] => [2,1,5,8,6,4,7,3] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[2,6,5,4,1,3,7,8] => [4,2,1,5,6,3,7,8] => [2,6,1,4,5,3,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[4,1,5,7,6,3,2,8] => [4,3,6,1,5,7,2,8] => [4,5,3,2,7,6,1,8] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[4,5,1,7,6,3,2,8] => [5,3,6,4,1,7,2,8] => [4,5,3,7,2,6,1,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[2,5,4,1,7,8,3,6] => [4,2,5,8,3,1,7,6] => [2,7,5,4,1,3,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,5,4,7,8,2,1,6] => [2,8,3,5,4,1,7,6] => [3,2,5,7,1,4,8,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[5,4,2,1,8,7,3,6] => [2,4,5,7,3,1,8,6] => [8,2,5,4,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,3,1,5,2,7] => [3,6,5,4,2,8,1,7] => [5,3,4,8,1,6,2,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,2,1,5,4,3,8,7] => [2,6,4,5,1,3,8,7] => [4,2,6,5,3,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,4,2,5,6,8,7,3] => [1,4,7,2,5,6,8,3] => [1,5,4,3,6,8,7,2] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,4,6,5,7,2,8,3] => [1,7,8,4,6,5,2,3] => [1,6,4,7,8,2,5,3] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[2,5,3,6,7,8,4,1] => [4,2,8,5,1,6,7,3] => [2,6,4,5,3,7,8,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[6,4,2,7,8,3,5,1] => [5,4,6,8,2,3,7,1] => [6,7,5,4,2,1,8,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,8,6,2,4,3,5,7] => [1,6,4,2,3,8,5,7] => [1,4,8,3,2,6,5,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,3,1,4,2,6,7,5] => [3,8,4,2,7,1,6,5] => [7,3,4,1,8,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,8,3,1,7,2,4] => [3,8,7,1,6,5,2,4] => [7,3,6,2,8,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,3,4,7,5,8,6,1] => [6,2,3,4,8,7,1,5] => [2,3,4,8,6,7,5,1] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[8,5,2,6,4,1,7,3] => [4,6,5,8,7,1,2,3] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,6,4,3,7,2] => [5,7,4,6,1,8,3,2] => [7,4,8,5,3,6,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,7,6,3,8,2,5,4] => [1,8,6,5,2,7,3,4] => [1,5,6,8,4,7,3,2] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[7,6,3,2,8,1,5,4] => [8,3,6,5,1,7,2,4] => [3,6,5,8,4,7,2,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[5,7,3,1,2,8,6,4] => [3,1,7,6,5,8,2,4] => [5,1,3,7,8,6,4,2] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[8,6,3,7,2,4,1,5] => [4,7,6,2,1,8,3,5] => [8,4,7,2,3,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,7,4,2,6,8] => [1,4,7,5,2,3,6,8] => [1,7,4,5,3,2,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,6,4,3,2,8,5] => [1,3,4,6,7,8,5,2] => [1,8,3,4,7,6,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,4,3,2,5,8] => [1,3,4,6,2,7,5,8] => [1,7,3,4,2,6,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[7,4,3,6,2,5,1,8] => [5,6,4,7,2,3,1,8] => [6,5,7,4,2,1,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,2,7,4,3,8,6,5] => [1,2,4,7,6,8,3,5] => [1,2,7,4,8,6,5,3] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,5,4,7,3,2,8,6] => [1,3,7,5,4,8,2,6] => [1,5,3,8,2,7,6,4] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,5,4,2,3,8,7,6] => [1,4,2,5,3,7,8,6] => [1,5,2,4,3,8,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,7,6,4,5,2,3,8] => [1,5,2,6,4,7,3,8] => [1,7,2,5,3,6,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,5,3,2,4,6,7,8] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[8,1,3,2,6,5,7,4] => [8,3,1,7,6,2,5,4] => [3,6,2,7,8,5,1,4] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[4,3,7,2,8,1,6,5] => [8,7,4,3,6,1,2,5] => [4,6,7,1,8,5,3,2] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[7,3,4,1,8,2,6,5] => [4,8,7,3,6,2,1,5] => [7,4,6,1,8,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,4,5,1,6,3,8,2] => [5,8,6,7,4,1,3,2] => [8,5,7,6,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,1,4,3,8,2] => [6,8,4,1,7,5,3,2] => [6,4,8,3,7,1,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,2,6,4,8,5,7,1] => [7,3,2,6,8,4,5,1] => [3,7,1,8,6,4,2,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[8,1,4,3,5,2,7,6] => [8,5,4,1,3,7,2,6] => [4,5,7,3,1,8,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[6,4,8,5,7,1,3,2] => [7,3,1,6,8,4,5,2] => [3,7,2,8,6,4,1,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,3,4,1,6,2,8,7] => [4,6,5,3,1,2,8,7] => [6,4,5,1,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,5,7,3,4,1,8,2] => [4,8,7,3,6,5,1,2] => [7,4,6,1,8,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,2,7,6,8,1,4,3] => [8,5,4,1,2,7,6,3] => [4,5,7,3,2,8,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[7,5,6,1,8,2,4,3] => [6,8,4,2,7,5,1,3] => [6,4,8,2,7,1,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,2,8,1,6,3,5,4] => [8,7,6,5,3,1,2,4] => [5,6,7,8,2,4,3,1] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[4,2,3,1,6,5,8,7,10,9] => [3,4,2,1,6,5,8,7,10,9] => [4,3,1,2,6,5,8,7,10,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[10,5,9,4,8,3,7,2,6,1] => [6,7,8,9,10,2,3,4,5,1] => [10,9,8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,7,4,8,2,5,6,1] => [6,8,3,7,2,5,4,1] => [6,3,8,7,2,1,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,3,4,5,1,6,2,7] => [5,6,8,3,4,1,2,7] => [8,6,5,1,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,3,6,5,7] => [4,1,2,8,6,3,5,7] => [6,1,2,4,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,2,5,6,4,1,3,7] => [4,6,2,8,1,5,3,7] => [8,6,1,4,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,6,4,7,5,1] => [5,7,3,8,6,4,1,2] => [6,3,8,5,7,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,3,7,5,8,1,2,6] => [8,1,4,3,7,2,5,6] => [4,1,7,2,8,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[4,7,1,5,3,6,8,2] => [7,8,5,4,1,3,6,2] => [5,4,7,8,3,1,2,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,7,5,8,4,6,3,2] => [1,3,6,8,7,4,5,2] => [1,8,3,6,7,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,8,4,1,5,2] => [4,8,5,7,2,1,6,3] => [8,4,7,5,2,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,3,1,4,7,2] => [3,5,8,1,7,6,4,2] => [7,5,3,2,6,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,1,4,7,3,5,8,2] => [6,8,7,1,3,4,5,2] => [8,6,7,3,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,6,3,8,5,4] => [7,2,6,5,8,1,3,4] => [2,6,7,8,5,4,3,1] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[3,7,5,6,8,1,2,4] => [8,1,3,2,7,5,6,4] => [3,1,7,2,8,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,6,2,4,5,7,8,3] => [1,6,8,2,4,5,7,3] => [1,7,6,3,2,4,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,8,5,1,2,4,6,3] => [5,1,8,3,6,4,7,2] => [7,1,5,2,6,3,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,1,6,4,5,3,7,2] => [8,7,5,6,4,1,3,2] => [5,6,8,7,1,4,2,3] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[4,3,8,6,7,5,2,1] => [2,5,4,3,7,8,6,1] => [4,2,8,1,5,7,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,6,5,2,4,1,7,8] => [4,5,3,2,6,1,7,8] => [4,3,6,1,5,2,7,8] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[4,7,2,5,6,1,8,3] => [6,7,8,4,2,5,1,3] => [7,6,4,8,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,8,5,2,4,1,6,7] => [4,5,3,2,8,1,6,7] => [4,3,8,1,5,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,5,2,4,3,1,8,6] => [3,4,5,1,7,8,2,6] => [8,4,3,2,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,5,2,4,1,6] => [4,5,3,2,7,1,8,6] => [4,3,8,1,5,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,6,2,5,1,7,4,8] => [5,6,3,7,2,1,4,8] => [6,3,7,5,2,4,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[7,6,1,8,5,2,4,3] => [6,5,4,1,7,8,2,3] => [4,7,8,3,5,6,2,1] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[4,6,7,2,5,1,8,3] => [5,7,8,4,2,6,1,3] => [6,5,4,7,2,8,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[3,6,2,5,1,7,8,4] => [5,6,3,8,2,1,7,4] => [6,3,7,5,2,4,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[3,4,2,7,6,1,5,8] => [6,4,3,2,1,7,5,8] => [3,4,7,1,2,6,5,8] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[3,4,2,7,8,1,5,6] => [8,4,3,2,1,5,7,6] => [3,4,7,1,2,5,8,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[3,8,5,2,4,7,1,6] => [7,5,3,2,8,1,4,6] => [3,7,8,1,5,4,6,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,4,2,7,1,5,8,6] => [7,4,3,2,1,8,5,6] => [3,4,8,1,2,7,6,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,4,2,8,7,1,5,6] => [7,4,3,2,1,5,8,6] => [3,4,8,1,2,5,7,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[7,3,4,6,5,8,1,2] => [8,1,7,3,6,4,5,2] => [6,1,7,2,8,4,3,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,3,6,8,1,4,5,2] => [8,5,7,1,4,3,6,2] => [5,8,7,3,1,2,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,1,8,5,2,4,7,3] => [6,5,8,3,7,1,4,2] => [7,8,5,1,6,4,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,8,5,1,2,4,3,6] => [5,1,4,2,8,3,7,6] => [4,1,7,3,5,2,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,7,3,4,6,8,2,5] => [1,8,7,3,2,4,6,5] => [1,7,8,2,4,5,3,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,5,8,2,1,4,3,7] => [2,8,4,1,6,5,3,7] => [4,2,6,3,8,1,5,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[6,7,3,5,8,4,1,2] => [4,1,8,7,2,6,5,3] => [7,1,4,6,3,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,5,1,4,8,2,3,7] => [5,6,1,2,8,4,3,7] => [8,6,2,3,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,4,2,5,8,7] => [6,4,1,3,2,5,8,7] => [4,6,2,1,3,5,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[7,8,4,2,3,1,6,5] => [3,4,2,8,6,1,7,5] => [6,3,1,4,7,5,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[8,6,3,4,2,1,7,5] => [2,4,6,3,8,7,5,1] => [8,2,4,1,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,6,8,2,4,3] => [1,8,4,2,5,7,6,3] => [1,4,5,3,7,8,2,6] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[3,7,1,8,5,2,6,4] => [7,5,3,8,6,4,1,2] => [3,6,8,5,7,1,4,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[5,7,1,3,8,4,2,6] => [7,4,1,8,5,2,3,6] => [5,7,2,4,8,3,6,1] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => [1,4,6,3,2,5,8,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[3,8,5,7,6,4,1,2] => [4,1,3,6,7,8,2,5] => [3,1,8,4,7,6,5,2] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,7,6,3,8,5,4,2] => [1,4,5,8,6,7,3,2] => [1,8,5,4,6,7,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,6,1,8,4,2] => [6,4,7,5,2,8,3,1] => [5,8,4,7,2,6,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,5,6,3,7,8,4,2] => [1,4,8,6,5,2,7,3] => [1,6,4,5,7,3,8,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,5,7,6,3,8,4,2] => [1,4,8,6,5,7,2,3] => [1,6,4,5,8,7,3,2] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,3,6,1,5,8,4,2] => [6,4,8,7,1,2,5,3] => [7,8,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,6,1,7,5,8,4,2] => [6,4,3,8,7,1,5,2] => [3,6,8,4,7,5,1,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,7,5,6,1,8,4,2] => [6,4,3,8,7,5,1,2] => [3,6,8,4,7,1,5,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[5,6,8,2,3,7,4,1] => [4,7,1,8,5,6,3,2] => [6,5,2,4,7,8,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[8,4,5,7,1,2,6,3] => [7,1,6,8,4,2,5,3] => [7,1,8,6,2,5,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,8,5,1,3,2,4,6] => [5,3,1,2,8,4,7,6] => [3,7,2,1,5,4,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[3,5,4,1,7,6,2,8] => [4,5,3,6,2,7,1,8] => [5,3,7,4,1,6,2,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[7,3,8,5,1,4,6,2] => [5,8,6,2,7,4,1,3] => [8,5,7,2,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,3,8,6,2,4] => [5,7,2,1,6,8,3,4] => [8,5,1,3,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,8,2,5,4,6] => [7,8,1,5,2,4,3,6] => [7,5,2,8,4,1,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,5,8,6,1,3,2,4] => [6,3,1,2,8,7,4,5] => [3,8,2,1,6,7,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,4,2,7,6,8] => [3,4,1,5,2,7,6,8] => [5,3,2,4,1,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[3,1,5,4,7,2,6,8] => [3,7,1,5,4,2,6,8] => [5,3,2,7,1,4,6,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[5,7,6,3,8,1,4,2] => [8,4,6,1,5,7,3,2] => [4,6,5,3,8,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[3,1,5,7,4,2,6,8] => [3,4,1,7,5,2,6,8] => [5,3,2,4,7,1,6,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[7,1,6,8,2,3,5,4] => [7,8,2,5,3,1,6,4] => [7,5,1,8,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,6,3,7,2,4,5,8] => [1,7,6,2,4,3,5,8] => [1,6,7,3,2,5,4,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[4,2,1,8,7,5,3,6] => [2,4,5,1,7,3,8,6] => [8,2,4,3,5,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,1,7,4,6,3] => [5,8,6,7,2,4,1,3] => [8,5,7,6,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,8,2,3,6,7] => [5,8,2,1,4,3,6,7] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,4,8,1,7,6] => [8,3,5,2,4,7,1,6] => [3,7,5,1,2,8,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,4,1,3,6,5,8,2] => [4,7,2,8,6,3,5,1] => [7,6,1,4,8,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,5,3,2,7,1,4] => [7,3,5,1,8,6,2,4] => [3,7,6,2,5,8,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,5,3,6,1,8,4] => [6,7,5,8,2,3,1,4] => [7,6,8,5,3,2,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,4,5,6,7,1,3] => [7,8,1,2,4,5,6,3] => [8,7,2,3,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,5,1,8,7,2] => [5,6,3,4,7,2,8,1] => [4,3,6,8,5,1,7,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[8,7,1,5,3,2,6,4] => [7,3,5,6,1,2,8,4] => [3,8,5,6,4,2,7,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,7,2,8,6] => [5,7,3,1,4,8,2,6] => [5,3,8,2,1,7,6,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,5,1,8,7,3,2,6] => [5,3,7,4,1,2,8,6] => [4,5,3,8,2,1,7,6] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[5,1,4,7,3,2,6,8] => [5,3,7,1,4,2,6,8] => [5,7,3,2,1,4,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[5,1,4,8,7,3,2,6] => [5,3,7,1,4,2,8,6] => [5,8,3,2,1,4,7,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,4,8,5,3,2,6] => [7,3,5,1,8,2,4,6] => [3,8,7,2,5,4,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,2,6,7,1,5,4] => [7,8,3,5,1,2,6,4] => [5,3,7,8,4,2,1,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[6,7,2,5,3,1,4,8] => [3,5,7,2,1,6,4,8] => [6,5,3,1,4,7,2,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[2,1,4,3,6,5,9,7,8] => [2,1,4,3,6,5,9,7,8] => [2,1,4,3,6,5,9,7,8] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[6,1,3,4,5,2,8,7] => [6,5,1,3,4,2,8,7] => [5,6,2,1,3,4,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[6,5,2,3,7,8,1,4] => [8,5,2,1,6,3,7,4] => [5,7,1,3,6,4,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,5,3,8,4,2,7,6] => [1,4,8,5,2,7,3,6] => [1,7,4,5,3,8,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,4,2,1,8,3,7,6] => [2,4,5,8,3,7,1,6] => [7,2,5,4,1,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,4,5,2,7,3,1,6] => [3,7,5,8,4,2,1,6] => [8,3,7,5,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,3,2,5,6,4] => [8,3,7,6,2,5,1,4] => [3,7,6,8,2,1,5,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[8,6,5,2,7,3,1,4] => [3,7,5,2,6,8,1,4] => [8,3,5,1,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,2,1,3,8,7] => [2,5,1,6,4,3,8,7] => [6,2,1,5,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,8,5,1,4,6,7,2] => [5,8,3,2,7,4,6,1] => [5,3,8,1,7,2,4,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,7,5,6,2,8,1,4] => [8,6,3,1,7,5,2,4] => [3,6,8,2,7,1,5,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[8,4,5,1,3,6,7,2] => [5,7,1,8,4,3,6,2] => [8,7,2,5,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,7,3,4,5,2] => [8,5,7,3,4,1,6,2] => [5,8,7,1,2,4,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,6,2,4,5,7,3] => [8,6,7,2,4,1,5,3] => [6,8,7,2,1,5,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,5,6,8,3,2,7,4] => [1,3,8,7,5,6,2,4] => [1,5,3,6,7,8,4,2] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[7,4,5,6,2,8,1,3] => [8,6,1,7,4,5,2,3] => [6,8,2,7,1,3,5,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,1,6,7,2,5,8,4] => [3,7,1,8,2,6,5,4] => [7,3,2,6,4,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,5,2,8,3,6,7,4] => [1,5,8,7,2,3,6,4] => [1,8,5,7,4,3,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,3,5,1,8] => [5,6,7,2,3,4,1,8] => [7,6,5,2,3,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,4,8,5,3,6,7,2] => [1,7,5,4,8,3,6,2] => [1,4,7,8,5,2,3,6] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[4,8,5,1,2,6,7,3] => [5,1,8,4,7,3,6,2] => [5,1,4,8,7,2,3,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,6,7,5,1,2,8,3] => [5,1,7,4,8,6,3,2] => [6,1,4,7,5,8,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[7,2,8,1,4,5,3,6] => [8,7,5,1,4,3,2,6] => [5,7,8,3,1,2,6,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,1,4,7,3,8,2,5] => [6,8,7,1,2,4,3,5] => [8,6,7,3,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,3,4,8,2,5] => [7,8,6,3,2,1,4,5] => [7,6,8,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,4,1,7,2,5,6] => [4,8,3,7,1,5,2,6] => [4,3,8,7,2,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,7,5,1,3,8,2,4] => [5,7,2,1,8,6,3,4] => [7,6,1,3,5,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,5,1,3,6,7,2,4] => [5,8,2,1,7,3,6,4] => [8,5,1,3,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,2,4,1,3,5] => [4,6,1,2,3,8,7,5] => [7,4,2,3,1,6,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,2,4,1,3,6,7,5] => [4,8,1,2,7,3,6,5] => [7,4,2,3,8,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,1,3,6,2,5,7,4] => [8,6,1,7,2,3,5,4] => [6,8,2,7,4,5,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,7,8,6,3,4,2,5] => [1,4,6,3,2,8,7,5] => [1,7,4,2,3,6,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,8,1,5,6,4,2,3] => [8,4,2,6,1,5,7,3] => [4,7,1,6,3,2,8,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[7,1,8,5,6,4,2,3] => [7,4,2,6,8,5,1,3] => [4,8,1,7,6,2,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,8,6,4,2,1] => [2,4,6,8,3,7,5,1] => [8,2,6,4,1,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,8,6,4,2,1] => [2,4,6,5,1,8,7,3] => [7,2,4,5,3,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,1,3,5,6,4,2,7] => [8,4,1,6,3,5,2,7] => [4,8,2,6,1,3,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,5,6,4,2,7] => [1,4,3,6,8,5,2,7] => [1,3,8,4,6,2,5,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,5,8,6,4,2,7] => [1,4,3,6,5,8,2,7] => [1,3,5,4,8,6,2,7] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,5,7,8,6,4,2,3] => [1,4,2,6,5,8,7,3] => [1,5,2,4,7,6,8,3] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[2,1,4,3,6,5,9,8,10,7] => [2,1,4,3,6,5,10,9,8,7] => [2,1,4,3,6,5,9,10,7,8] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[2,1,4,3,7,6,8,5,10,9] => [2,1,4,3,8,7,6,5,10,9] => [2,1,4,3,7,8,5,6,10,9] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,4,3,7,6,9,8,10,5] => [2,1,4,3,10,7,6,9,8,5] => [2,1,4,3,7,9,5,10,6,8] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,4,3,8,7,9,6,10,5] => [2,1,4,3,10,9,8,7,6,5] => [2,1,4,3,8,9,10,5,6,7] => [1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,5,4,6,3,8,7,10,9] => [2,1,6,5,4,3,8,7,10,9] => [2,1,5,6,3,4,8,7,10,9] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[2,1,5,4,6,3,9,8,10,7] => [2,1,6,5,4,3,10,9,8,7] => [2,1,5,6,3,4,9,10,7,8] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[2,1,5,4,7,6,8,3,10,9] => [2,1,8,5,4,7,6,3,10,9] => [2,1,5,7,3,8,4,6,10,9] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[2,1,5,4,7,6,9,8,10,3] => [2,1,10,5,4,7,6,9,8,3] => [2,1,5,7,3,9,4,10,6,8] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[2,1,5,4,8,7,9,6,10,3] => [2,1,10,5,4,9,8,7,6,3] => [2,1,5,8,3,9,10,4,6,7] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[2,1,6,5,7,4,8,3,10,9] => [2,1,8,7,6,5,4,3,10,9] => [2,1,6,7,8,3,4,5,10,9] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[2,1,6,5,7,4,9,8,10,3] => [2,1,10,7,6,5,4,9,8,3] => [2,1,6,7,9,3,4,10,5,8] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[2,1,6,5,8,7,9,4,10,3] => [2,1,10,9,6,5,8,7,4,3] => [2,1,6,8,9,3,10,4,5,7] => [1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[2,1,7,6,8,5,9,4,10,3] => [2,1,10,9,8,7,6,5,4,3] => [2,1,7,8,9,10,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[3,2,4,1,6,5,8,7,10,9] => [4,3,2,1,6,5,8,7,10,9] => [3,4,1,2,6,5,8,7,10,9] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,2,4,1,6,5,9,8,10,7] => [4,3,2,1,6,5,10,9,8,7] => [3,4,1,2,6,5,9,10,7,8] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[3,2,4,1,7,6,8,5,10,9] => [4,3,2,1,8,7,6,5,10,9] => [3,4,1,2,7,8,5,6,10,9] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[3,2,4,1,7,6,9,8,10,5] => [4,3,2,1,10,7,6,9,8,5] => [3,4,1,2,7,9,5,10,6,8] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[3,2,4,1,8,7,9,6,10,5] => [4,3,2,1,10,9,8,7,6,5] => [3,4,1,2,8,9,10,5,6,7] => [1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[3,2,5,4,6,1,8,7,10,9] => [6,3,2,5,4,1,8,7,10,9] => [3,5,1,6,2,4,8,7,10,9] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[3,2,5,4,6,1,9,8,10,7] => [6,3,2,5,4,1,10,9,8,7] => [3,5,1,6,2,4,9,10,7,8] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[3,2,5,4,7,6,8,1,10,9] => [8,3,2,5,4,7,6,1,10,9] => [3,5,1,7,2,8,4,6,10,9] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[3,2,5,4,7,6,9,8,10,1] => [10,3,2,5,4,7,6,9,8,1] => [3,5,1,7,2,9,4,10,6,8] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[3,2,5,4,8,7,9,6,10,1] => [10,3,2,5,4,9,8,7,6,1] => [3,5,1,8,2,9,10,4,6,7] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[3,2,6,5,7,4,8,1,10,9] => [8,3,2,7,6,5,4,1,10,9] => [3,6,1,7,8,2,4,5,10,9] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[3,2,6,5,7,4,9,8,10,1] => [10,3,2,7,6,5,4,9,8,1] => [3,6,1,7,9,2,4,10,5,8] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[3,2,6,5,8,7,9,4,10,1] => [10,3,2,9,6,5,8,7,4,1] => [3,6,1,8,9,2,10,4,5,7] => [1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[3,2,7,6,8,5,9,4,10,1] => [10,3,2,9,8,7,6,5,4,1] => [3,7,1,8,9,10,2,4,5,6] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[4,3,5,2,6,1,8,7,10,9] => [6,5,4,3,2,1,8,7,10,9] => [4,5,6,1,2,3,8,7,10,9] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[4,3,5,2,6,1,9,8,10,7] => [6,5,4,3,2,1,10,9,8,7] => [4,5,6,1,2,3,9,10,7,8] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[4,3,5,2,7,6,8,1,10,9] => [8,5,4,3,2,7,6,1,10,9] => [4,5,7,1,2,8,3,6,10,9] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,3,5,2,7,6,9,8,10,1] => [10,5,4,3,2,7,6,9,8,1] => [4,5,7,1,2,9,3,10,6,8] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,3,5,2,8,7,9,6,10,1] => [10,5,4,3,2,9,8,7,6,1] => [4,5,8,1,2,9,10,3,6,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,3,6,5,7,2,8,1,10,9] => [8,7,4,3,6,5,2,1,10,9] => [4,6,7,1,8,2,3,5,10,9] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[4,3,6,5,7,2,9,8,10,1] => [10,7,4,3,6,5,2,9,8,1] => [4,6,7,1,9,2,3,10,5,8] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[4,3,6,5,8,7,9,2,10,1] => [10,9,4,3,6,5,8,7,2,1] => [4,6,8,1,9,2,10,3,5,7] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[4,3,7,6,8,5,9,2,10,1] => [10,9,4,3,8,7,6,5,2,1] => [4,7,8,1,9,10,2,3,5,6] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[5,4,6,3,7,2,8,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => [5,6,7,8,1,2,3,4,10,9] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[5,4,6,3,7,2,9,8,10,1] => [10,7,6,5,4,3,2,9,8,1] => [5,6,7,9,1,2,3,10,4,8] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[5,4,6,3,8,7,9,2,10,1] => [10,9,6,5,4,3,8,7,2,1] => [5,6,8,9,1,2,10,3,4,7] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[5,4,7,6,8,3,9,2,10,1] => [10,9,8,5,4,7,6,3,2,1] => [5,7,8,9,1,10,2,3,4,6] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[2,1,4,3,6,5,8,7,11,10,12,9] => [2,1,4,3,6,5,8,7,12,11,10,9] => [2,1,4,3,6,5,8,7,11,12,9,10] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[2,1,4,3,6,5,9,8,10,7,12,11] => [2,1,4,3,6,5,10,9,8,7,12,11] => [2,1,4,3,6,5,9,10,7,8,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,4,3,6,5,9,8,11,10,12,7] => [2,1,4,3,6,5,12,9,8,11,10,7] => [2,1,4,3,6,5,9,11,7,12,8,10] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,4,3,6,5,10,9,11,8,12,7] => [2,1,4,3,6,5,12,11,10,9,8,7] => [2,1,4,3,6,5,10,11,12,7,8,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,4,3,7,6,8,5,10,9,12,11] => [2,1,4,3,8,7,6,5,10,9,12,11] => [2,1,4,3,7,8,5,6,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,7,6,8,5,11,10,12,9] => [2,1,4,3,8,7,6,5,12,11,10,9] => [2,1,4,3,7,8,5,6,11,12,9,10] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[2,1,4,3,7,6,9,8,10,5,12,11] => [2,1,4,3,10,7,6,9,8,5,12,11] => [2,1,4,3,7,9,5,10,6,8,12,11] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[2,1,4,3,7,6,9,8,11,10,12,5] => [2,1,4,3,12,7,6,9,8,11,10,5] => [2,1,4,3,7,9,5,11,6,12,8,10] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[2,1,4,3,7,6,10,9,11,8,12,5] => [2,1,4,3,12,7,6,11,10,9,8,5] => [2,1,4,3,7,10,5,11,12,6,8,9] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[2,1,4,3,8,7,9,6,10,5,12,11] => [2,1,4,3,10,9,8,7,6,5,12,11] => [2,1,4,3,8,9,10,5,6,7,12,11] => [1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[2,1,4,3,8,7,9,6,11,10,12,5] => [2,1,4,3,12,9,8,7,6,11,10,5] => [2,1,4,3,8,9,11,5,6,12,7,10] => [1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[2,1,4,3,8,7,10,9,11,6,12,5] => [2,1,4,3,12,11,8,7,10,9,6,5] => [2,1,4,3,8,10,11,5,12,6,7,9] => [1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[2,1,4,3,9,8,10,7,11,6,12,5] => [2,1,4,3,12,11,10,9,8,7,6,5] => [2,1,4,3,9,10,11,12,5,6,7,8] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[2,1,5,4,6,3,8,7,10,9,12,11] => [2,1,6,5,4,3,8,7,10,9,12,11] => [2,1,5,6,3,4,8,7,10,9,12,11] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,5,4,6,3,8,7,11,10,12,9] => [2,1,6,5,4,3,8,7,12,11,10,9] => [2,1,5,6,3,4,8,7,11,12,9,10] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[2,1,5,4,6,3,9,8,10,7,12,11] => [2,1,6,5,4,3,10,9,8,7,12,11] => [2,1,5,6,3,4,9,10,7,8,12,11] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,5,4,6,3,9,8,11,10,12,7] => [2,1,6,5,4,3,12,9,8,11,10,7] => [2,1,5,6,3,4,9,11,7,12,8,10] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,5,4,6,3,10,9,11,8,12,7] => [2,1,6,5,4,3,12,11,10,9,8,7] => [2,1,5,6,3,4,10,11,12,7,8,9] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,5,4,7,6,8,3,10,9,12,11] => [2,1,8,5,4,7,6,3,10,9,12,11] => [2,1,5,7,3,8,4,6,10,9,12,11] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[2,1,5,4,7,6,8,3,11,10,12,9] => [2,1,8,5,4,7,6,3,12,11,10,9] => [2,1,5,7,3,8,4,6,11,12,9,10] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[2,1,5,4,7,6,9,8,10,3,12,11] => [2,1,10,5,4,7,6,9,8,3,12,11] => [2,1,5,7,3,9,4,10,6,8,12,11] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[2,1,5,4,7,6,9,8,11,10,12,3] => [2,1,12,5,4,7,6,9,8,11,10,3] => [2,1,5,7,3,9,4,11,6,12,8,10] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[2,1,5,4,7,6,10,9,11,8,12,3] => [2,1,12,5,4,7,6,11,10,9,8,3] => [2,1,5,7,3,10,4,11,12,6,8,9] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[2,1,5,4,8,7,9,6,10,3,12,11] => [2,1,10,5,4,9,8,7,6,3,12,11] => [2,1,5,8,3,9,10,4,6,7,12,11] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[2,1,5,4,8,7,9,6,11,10,12,3] => [2,1,12,5,4,9,8,7,6,11,10,3] => [2,1,5,8,3,9,11,4,6,12,7,10] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[2,1,5,4,8,7,10,9,11,6,12,3] => [2,1,12,5,4,11,8,7,10,9,6,3] => [2,1,5,8,3,10,11,4,12,6,7,9] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[2,1,5,4,9,8,10,7,11,6,12,3] => [2,1,12,5,4,11,10,9,8,7,6,3] => [2,1,5,9,3,10,11,12,4,6,7,8] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[2,1,6,5,7,4,8,3,10,9,12,11] => [2,1,8,7,6,5,4,3,10,9,12,11] => [2,1,6,7,8,3,4,5,10,9,12,11] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,6,5,7,4,8,3,11,10,12,9] => [2,1,8,7,6,5,4,3,12,11,10,9] => [2,1,6,7,8,3,4,5,11,12,9,10] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[2,1,6,5,7,4,9,8,10,3,12,11] => [2,1,10,7,6,5,4,9,8,3,12,11] => [2,1,6,7,9,3,4,10,5,8,12,11] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[2,1,6,5,7,4,9,8,11,10,12,3] => [2,1,12,7,6,5,4,9,8,11,10,3] => [2,1,6,7,9,3,4,11,5,12,8,10] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[2,1,6,5,7,4,10,9,11,8,12,3] => [2,1,12,7,6,5,4,11,10,9,8,3] => [2,1,6,7,10,3,4,11,12,5,8,9] => [1,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]
[2,1,6,5,8,7,9,4,10,3,12,11] => [2,1,10,9,6,5,8,7,4,3,12,11] => [2,1,6,8,9,3,10,4,5,7,12,11] => [1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[2,1,6,5,8,7,9,4,11,10,12,3] => [2,1,12,9,6,5,8,7,4,11,10,3] => [2,1,6,8,9,3,11,4,5,12,7,10] => [1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[2,1,6,5,8,7,10,9,11,4,12,3] => [2,1,12,11,6,5,8,7,10,9,4,3] => [2,1,6,8,10,3,11,4,12,5,7,9] => [1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[2,1,6,5,9,8,10,7,11,4,12,3] => [2,1,12,11,6,5,10,9,8,7,4,3] => [2,1,6,9,10,3,11,12,4,5,7,8] => [1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[2,1,7,6,8,5,9,4,10,3,12,11] => [2,1,10,9,8,7,6,5,4,3,12,11] => [2,1,7,8,9,10,3,4,5,6,12,11] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[2,1,7,6,8,5,9,4,11,10,12,3] => [2,1,12,9,8,7,6,5,4,11,10,3] => [2,1,7,8,9,11,3,4,5,12,6,10] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[2,1,7,6,8,5,10,9,11,4,12,3] => [2,1,12,11,8,7,6,5,10,9,4,3] => [2,1,7,8,10,11,3,4,12,5,6,9] => [1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[2,1,7,6,9,8,10,5,11,4,12,3] => [2,1,12,11,10,7,6,9,8,5,4,3] => [2,1,7,9,10,11,3,12,4,5,6,8] => [1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[2,1,8,7,9,6,10,5,11,4,12,3] => [2,1,12,11,10,9,8,7,6,5,4,3] => [2,1,8,9,10,11,12,3,4,5,6,7] => [1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[3,2,4,1,6,5,8,7,10,9,12,11] => [4,3,2,1,6,5,8,7,10,9,12,11] => [3,4,1,2,6,5,8,7,10,9,12,11] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,2,4,1,6,5,8,7,11,10,12,9] => [4,3,2,1,6,5,8,7,12,11,10,9] => [3,4,1,2,6,5,8,7,11,12,9,10] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[3,2,4,1,6,5,9,8,10,7,12,11] => [4,3,2,1,6,5,10,9,8,7,12,11] => [3,4,1,2,6,5,9,10,7,8,12,11] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[3,2,4,1,6,5,9,8,11,10,12,7] => [4,3,2,1,6,5,12,9,8,11,10,7] => [3,4,1,2,6,5,9,11,7,12,8,10] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[3,2,4,1,6,5,10,9,11,8,12,7] => [4,3,2,1,6,5,12,11,10,9,8,7] => [3,4,1,2,6,5,10,11,12,7,8,9] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[3,2,4,1,7,6,8,5,10,9,12,11] => [4,3,2,1,8,7,6,5,10,9,12,11] => [3,4,1,2,7,8,5,6,10,9,12,11] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[3,2,4,1,7,6,8,5,11,10,12,9] => [4,3,2,1,8,7,6,5,12,11,10,9] => [3,4,1,2,7,8,5,6,11,12,9,10] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[3,2,4,1,7,6,9,8,10,5,12,11] => [4,3,2,1,10,7,6,9,8,5,12,11] => [3,4,1,2,7,9,5,10,6,8,12,11] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[3,2,4,1,7,6,9,8,11,10,12,5] => [4,3,2,1,12,7,6,9,8,11,10,5] => [3,4,1,2,7,9,5,11,6,12,8,10] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[3,2,4,1,7,6,10,9,11,8,12,5] => [4,3,2,1,12,7,6,11,10,9,8,5] => [3,4,1,2,7,10,5,11,12,6,8,9] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[3,2,4,1,8,7,9,6,10,5,12,11] => [4,3,2,1,10,9,8,7,6,5,12,11] => [3,4,1,2,8,9,10,5,6,7,12,11] => [1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[3,2,4,1,8,7,9,6,11,10,12,5] => [4,3,2,1,12,9,8,7,6,11,10,5] => [3,4,1,2,8,9,11,5,6,12,7,10] => [1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[3,2,4,1,8,7,10,9,11,6,12,5] => [4,3,2,1,12,11,8,7,10,9,6,5] => [3,4,1,2,8,10,11,5,12,6,7,9] => [1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[3,2,4,1,9,8,10,7,11,6,12,5] => [4,3,2,1,12,11,10,9,8,7,6,5] => [3,4,1,2,9,10,11,12,5,6,7,8] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[3,2,5,4,6,1,8,7,10,9,12,11] => [6,3,2,5,4,1,8,7,10,9,12,11] => [3,5,1,6,2,4,8,7,10,9,12,11] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,2,5,4,6,1,8,7,11,10,12,9] => [6,3,2,5,4,1,8,7,12,11,10,9] => [3,5,1,6,2,4,8,7,11,12,9,10] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[3,2,5,4,6,1,9,8,10,7,12,11] => [6,3,2,5,4,1,10,9,8,7,12,11] => [3,5,1,6,2,4,9,10,7,8,12,11] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[3,2,5,4,6,1,9,8,11,10,12,7] => [6,3,2,5,4,1,12,9,8,11,10,7] => [3,5,1,6,2,4,9,11,7,12,8,10] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[3,2,5,4,6,1,10,9,11,8,12,7] => [6,3,2,5,4,1,12,11,10,9,8,7] => [3,5,1,6,2,4,10,11,12,7,8,9] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[3,2,5,4,7,6,8,1,10,9,12,11] => [8,3,2,5,4,7,6,1,10,9,12,11] => [3,5,1,7,2,8,4,6,10,9,12,11] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[3,2,5,4,7,6,8,1,11,10,12,9] => [8,3,2,5,4,7,6,1,12,11,10,9] => [3,5,1,7,2,8,4,6,11,12,9,10] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[3,2,5,4,7,6,9,8,10,1,12,11] => [10,3,2,5,4,7,6,9,8,1,12,11] => [3,5,1,7,2,9,4,10,6,8,12,11] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[3,2,5,4,7,6,9,8,11,10,12,1] => [12,3,2,5,4,7,6,9,8,11,10,1] => [3,5,1,7,2,9,4,11,6,12,8,10] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[3,2,5,4,7,6,10,9,11,8,12,1] => [12,3,2,5,4,7,6,11,10,9,8,1] => [3,5,1,7,2,10,4,11,12,6,8,9] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[3,2,5,4,8,7,9,6,10,1,12,11] => [10,3,2,5,4,9,8,7,6,1,12,11] => [3,5,1,8,2,9,10,4,6,7,12,11] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[3,2,5,4,8,7,9,6,11,10,12,1] => [12,3,2,5,4,9,8,7,6,11,10,1] => [3,5,1,8,2,9,11,4,6,12,7,10] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[3,2,5,4,8,7,10,9,11,6,12,1] => [12,3,2,5,4,11,8,7,10,9,6,1] => [3,5,1,8,2,10,11,4,12,6,7,9] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[3,2,5,4,9,8,10,7,11,6,12,1] => [12,3,2,5,4,11,10,9,8,7,6,1] => [3,5,1,9,2,10,11,12,4,6,7,8] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[3,2,6,5,7,4,8,1,10,9,12,11] => [8,3,2,7,6,5,4,1,10,9,12,11] => [3,6,1,7,8,2,4,5,10,9,12,11] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[3,2,6,5,7,4,8,1,11,10,12,9] => [8,3,2,7,6,5,4,1,12,11,10,9] => [3,6,1,7,8,2,4,5,11,12,9,10] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[3,2,6,5,7,4,9,8,10,1,12,11] => [10,3,2,7,6,5,4,9,8,1,12,11] => [3,6,1,7,9,2,4,10,5,8,12,11] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[3,2,6,5,7,4,9,8,11,10,12,1] => [12,3,2,7,6,5,4,9,8,11,10,1] => [3,6,1,7,9,2,4,11,5,12,8,10] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[3,2,6,5,7,4,10,9,11,8,12,1] => [12,3,2,7,6,5,4,11,10,9,8,1] => [3,6,1,7,10,2,4,11,12,5,8,9] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,2,6,5,8,7,9,4,10,1,12,11] => [10,3,2,9,6,5,8,7,4,1,12,11] => [3,6,1,8,9,2,10,4,5,7,12,11] => [1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[3,2,6,5,8,7,9,4,11,10,12,1] => [12,3,2,9,6,5,8,7,4,11,10,1] => [3,6,1,8,9,2,11,4,5,12,7,10] => [1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[3,2,6,5,8,7,10,9,11,4,12,1] => [12,3,2,11,6,5,8,7,10,9,4,1] => [3,6,1,8,10,2,11,4,12,5,7,9] => [1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[3,2,6,5,9,8,10,7,11,4,12,1] => [12,3,2,11,6,5,10,9,8,7,4,1] => [3,6,1,9,10,2,11,12,4,5,7,8] => [1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[3,2,7,6,8,5,9,4,10,1,12,11] => [10,3,2,9,8,7,6,5,4,1,12,11] => [3,7,1,8,9,10,2,4,5,6,12,11] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[3,2,7,6,8,5,9,4,11,10,12,1] => [12,3,2,9,8,7,6,5,4,11,10,1] => [3,7,1,8,9,11,2,4,5,12,6,10] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[3,2,7,6,8,5,10,9,11,4,12,1] => [12,3,2,11,8,7,6,5,10,9,4,1] => [3,7,1,8,10,11,2,4,12,5,6,9] => [1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[3,2,7,6,9,8,10,5,11,4,12,1] => [12,3,2,11,10,7,6,9,8,5,4,1] => [3,7,1,9,10,11,2,12,4,5,6,8] => [1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[3,2,8,7,9,6,10,5,11,4,12,1] => [12,3,2,11,10,9,8,7,6,5,4,1] => [3,8,1,9,10,11,12,2,4,5,6,7] => [1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[4,3,5,2,6,1,8,7,10,9,12,11] => [6,5,4,3,2,1,8,7,10,9,12,11] => [4,5,6,1,2,3,8,7,10,9,12,11] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[4,3,5,2,6,1,8,7,11,10,12,9] => [6,5,4,3,2,1,8,7,12,11,10,9] => [4,5,6,1,2,3,8,7,11,12,9,10] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[4,3,5,2,6,1,9,8,10,7,12,11] => [6,5,4,3,2,1,10,9,8,7,12,11] => [4,5,6,1,2,3,9,10,7,8,12,11] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[4,3,5,2,6,1,9,8,11,10,12,7] => [6,5,4,3,2,1,12,9,8,11,10,7] => [4,5,6,1,2,3,9,11,7,12,8,10] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[4,3,5,2,6,1,10,9,11,8,12,7] => [6,5,4,3,2,1,12,11,10,9,8,7] => [4,5,6,1,2,3,10,11,12,7,8,9] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[4,3,5,2,7,6,8,1,10,9,12,11] => [8,5,4,3,2,7,6,1,10,9,12,11] => [4,5,7,1,2,8,3,6,10,9,12,11] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[4,3,5,2,7,6,8,1,11,10,12,9] => [8,5,4,3,2,7,6,1,12,11,10,9] => [4,5,7,1,2,8,3,6,11,12,9,10] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[4,3,5,2,7,6,9,8,10,1,12,11] => [10,5,4,3,2,7,6,9,8,1,12,11] => [4,5,7,1,2,9,3,10,6,8,12,11] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[4,3,5,2,7,6,9,8,11,10,12,1] => [12,5,4,3,2,7,6,9,8,11,10,1] => [4,5,7,1,2,9,3,11,6,12,8,10] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[4,3,5,2,7,6,10,9,11,8,12,1] => [12,5,4,3,2,7,6,11,10,9,8,1] => [4,5,7,1,2,10,3,11,12,6,8,9] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[4,3,5,2,8,7,9,6,10,1,12,11] => [10,5,4,3,2,9,8,7,6,1,12,11] => [4,5,8,1,2,9,10,3,6,7,12,11] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0]
[4,3,5,2,8,7,9,6,11,10,12,1] => [12,5,4,3,2,9,8,7,6,11,10,1] => [4,5,8,1,2,9,11,3,6,12,7,10] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]
[4,3,5,2,8,7,10,9,11,6,12,1] => [12,5,4,3,2,11,8,7,10,9,6,1] => [4,5,8,1,2,10,11,3,12,6,7,9] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[4,3,5,2,9,8,10,7,11,6,12,1] => [12,5,4,3,2,11,10,9,8,7,6,1] => [4,5,9,1,2,10,11,12,3,6,7,8] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]
[4,3,6,5,7,2,8,1,10,9,12,11] => [8,7,4,3,6,5,2,1,10,9,12,11] => [4,6,7,1,8,2,3,5,10,9,12,11] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[4,3,6,5,7,2,8,1,11,10,12,9] => [8,7,4,3,6,5,2,1,12,11,10,9] => [4,6,7,1,8,2,3,5,11,12,9,10] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[4,3,6,5,7,2,9,8,10,1,12,11] => [10,7,4,3,6,5,2,9,8,1,12,11] => [4,6,7,1,9,2,3,10,5,8,12,11] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[4,3,6,5,7,2,9,8,11,10,12,1] => [12,7,4,3,6,5,2,9,8,11,10,1] => [4,6,7,1,9,2,3,11,5,12,8,10] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,3,6,5,7,2,10,9,11,8,12,1] => [12,7,4,3,6,5,2,11,10,9,8,1] => [4,6,7,1,10,2,3,11,12,5,8,9] => [1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,3,6,5,8,7,9,2,10,1,12,11] => [10,9,4,3,6,5,8,7,2,1,12,11] => [4,6,8,1,9,2,10,3,5,7,12,11] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0]
[4,3,6,5,8,7,9,2,11,10,12,1] => [12,9,4,3,6,5,8,7,2,11,10,1] => [4,6,8,1,9,2,11,3,5,12,7,10] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]
[4,3,6,5,8,7,10,9,11,2,12,1] => [12,11,4,3,6,5,8,7,10,9,2,1] => [4,6,8,1,10,2,11,3,12,5,7,9] => [1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0]
[4,3,6,5,9,8,10,7,11,2,12,1] => [12,11,4,3,6,5,10,9,8,7,2,1] => [4,6,9,1,10,2,11,12,3,5,7,8] => [1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0]
[4,3,7,6,8,5,9,2,10,1,12,11] => [10,9,4,3,8,7,6,5,2,1,12,11] => [4,7,8,1,9,10,2,3,5,6,12,11] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0]
[4,3,7,6,8,5,9,2,11,10,12,1] => [12,9,4,3,8,7,6,5,2,11,10,1] => [4,7,8,1,9,11,2,3,5,12,6,10] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0]
[4,3,7,6,8,5,10,9,11,2,12,1] => [12,11,4,3,8,7,6,5,10,9,2,1] => [4,7,8,1,10,11,2,3,12,5,6,9] => [1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]
[4,3,7,6,9,8,10,5,11,2,12,1] => [12,11,4,3,10,7,6,9,8,5,2,1] => [4,7,9,1,10,11,2,12,3,5,6,8] => [1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0]
[4,3,8,7,9,6,10,5,11,2,12,1] => [12,11,4,3,10,9,8,7,6,5,2,1] => [4,8,9,1,10,11,12,2,3,5,6,7] => [1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[5,4,6,3,7,2,8,1,10,9,12,11] => [8,7,6,5,4,3,2,1,10,9,12,11] => [5,6,7,8,1,2,3,4,10,9,12,11] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[5,4,6,3,7,2,8,1,11,10,12,9] => [8,7,6,5,4,3,2,1,12,11,10,9] => [5,6,7,8,1,2,3,4,11,12,9,10] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[5,4,6,3,7,2,9,8,10,1,12,11] => [10,7,6,5,4,3,2,9,8,1,12,11] => [5,6,7,9,1,2,3,10,4,8,12,11] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[5,4,6,3,7,2,9,8,11,10,12,1] => [12,7,6,5,4,3,2,9,8,11,10,1] => [5,6,7,9,1,2,3,11,4,12,8,10] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[5,4,6,3,7,2,10,9,11,8,12,1] => [12,7,6,5,4,3,2,11,10,9,8,1] => [5,6,7,10,1,2,3,11,12,4,8,9] => [1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[5,4,6,3,8,7,9,2,10,1,12,11] => [10,9,6,5,4,3,8,7,2,1,12,11] => [5,6,8,9,1,2,10,3,4,7,12,11] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0]
[5,4,6,3,8,7,9,2,11,10,12,1] => [12,9,6,5,4,3,8,7,2,11,10,1] => [5,6,8,9,1,2,11,3,4,12,7,10] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0]
[5,4,6,3,8,7,10,9,11,2,12,1] => [12,11,6,5,4,3,8,7,10,9,2,1] => [5,6,8,10,1,2,11,3,12,4,7,9] => [1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]
[5,4,6,3,9,8,10,7,11,2,12,1] => [12,11,6,5,4,3,10,9,8,7,2,1] => [5,6,9,10,1,2,11,12,3,4,7,8] => [1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]
[5,4,7,6,8,3,9,2,10,1,12,11] => [10,9,8,5,4,7,6,3,2,1,12,11] => [5,7,8,9,1,10,2,3,4,6,12,11] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0]
[5,4,7,6,8,3,9,2,11,10,12,1] => [12,9,8,5,4,7,6,3,2,11,10,1] => [5,7,8,9,1,11,2,3,4,12,6,10] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0]
[5,4,7,6,8,3,10,9,11,2,12,1] => [12,11,8,5,4,7,6,3,10,9,2,1] => [5,7,8,10,1,11,2,3,12,4,6,9] => [1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0]
[5,4,7,6,9,8,10,3,11,2,12,1] => [12,11,10,5,4,7,6,9,8,3,2,1] => [5,7,9,10,1,11,2,12,3,4,6,8] => [1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[5,4,8,7,9,6,10,3,11,2,12,1] => [12,11,10,5,4,9,8,7,6,3,2,1] => [5,8,9,10,1,11,12,2,3,4,6,7] => [1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0]
[6,5,7,4,8,3,9,2,10,1,12,11] => [10,9,8,7,6,5,4,3,2,1,12,11] => [6,7,8,9,10,1,2,3,4,5,12,11] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0]
[6,5,7,4,8,3,9,2,11,10,12,1] => [12,9,8,7,6,5,4,3,2,11,10,1] => [6,7,8,9,11,1,2,3,4,12,5,10] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0]
[6,5,7,4,8,3,10,9,11,2,12,1] => [12,11,8,7,6,5,4,3,10,9,2,1] => [6,7,8,10,11,1,2,3,12,4,5,9] => [1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]
[6,5,7,4,9,8,10,3,11,2,12,1] => [12,11,10,7,6,5,4,9,8,3,2,1] => [6,7,9,10,11,1,2,12,3,4,5,8] => [1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[6,5,8,7,9,4,10,3,11,2,12,1] => [12,11,10,9,6,5,8,7,4,3,2,1] => [6,8,9,10,11,1,12,2,3,4,5,7] => [1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0]
[7,6,8,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => [7,8,9,10,11,12,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,8,2,6,5,3,4,7] => [1,8,5,3,6,2,4,7] => [1,5,8,2,6,4,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,1,2,3,8,4,5] => [6,1,2,7,3,8,4,5] => [8,1,2,7,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,4,2,3,7,6] => [8,4,2,5,1,7,3,6] => [4,7,1,5,3,8,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[8,1,5,6,4,2,7,3] => [8,4,6,7,1,5,3,2] => [4,8,7,6,3,1,2,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,5,8,4,1,6] => [4,2,8,7,1,3,5,6] => [2,8,4,7,3,5,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,2,5,8,4,1] => [4,8,3,6,1,7,5,2] => [4,3,8,6,2,7,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,6,4,7,3,5,2,1] => [2,5,7,6,3,8,4,1] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,3,5,8,1,6] => [8,7,2,4,3,1,5,6] => [4,7,1,8,2,5,6,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[7,4,6,8,2,3,5,1] => [5,8,2,7,3,4,6,1] => [8,5,1,7,3,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,4,1,3,6,8] => [4,2,1,5,7,3,6,8] => [2,7,1,4,5,3,6,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,7,4,5,6,1,2,8] => [6,1,3,7,4,5,2,8] => [3,1,7,6,2,4,5,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[2,7,4,6,5,1,8,3] => [5,2,6,8,7,1,3,4] => [2,8,7,5,6,4,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,7,5,2,1,4,3] => [2,5,4,1,7,6,8,3] => [4,2,6,3,5,8,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,5,8,7,6,3,4,2] => [1,4,6,3,5,7,8,2] => [1,5,4,2,8,6,7,3] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,4,6,8,5,3,2,7] => [1,3,5,4,8,6,2,7] => [1,4,3,6,5,8,2,7] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,4,7,8,5,6,3,2] => [1,3,6,4,8,5,7,2] => [1,4,3,7,6,2,8,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,2,5,8,6,4,7,3] => [1,2,7,6,5,8,4,3] => [1,2,5,7,8,6,3,4] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,8,6,7,2,3,5,4] => [1,7,2,5,3,8,6,4] => [1,5,2,8,4,7,3,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,4,8,5,6,3,2,7] => [1,3,6,4,8,5,2,7] => [1,4,3,8,6,2,5,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,6,4,8,5,7,3,2] => [1,3,7,6,8,4,5,2] => [1,7,3,8,6,4,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,7,3,2,6,8,5,4] => [1,3,7,5,8,2,6,4] => [1,7,3,8,5,4,2,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,6,8,5,2,7,3,4] => [1,5,8,2,7,6,3,4] => [1,7,5,3,6,8,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,8,5,4,2,3,7] => [1,4,2,5,8,6,3,7] => [1,6,2,4,5,8,3,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,3,6,7,2,8,5,4] => [1,7,3,5,8,6,2,4] => [1,3,6,7,5,8,4,2] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,8,5,2,6,7,3,4] => [1,5,8,2,7,3,6,4] => [1,8,5,3,7,4,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,8,5,2,7,6] => [1,5,3,4,8,7,2,6] => [1,3,4,7,5,8,6,2] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,3,8,5,2,4,7,6] => [1,5,3,2,8,7,4,6] => [1,3,7,2,5,8,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[6,5,3,7,4,1,8,2] => [4,7,8,5,6,1,2,3] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,4,6,8,7,2] => [3,7,1,5,4,6,8,2] => [5,3,2,6,1,8,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[3,6,1,4,5,7,8,2] => [6,8,3,1,4,5,7,2] => [6,3,7,2,1,4,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,8,4,7,2,3,6,5] => [1,7,2,8,6,3,4,5] => [1,7,2,6,8,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,7,8,2,4,6,1,3] => [6,8,1,2,5,4,7,3] => [6,5,2,3,7,1,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[8,7,2,4,1,3,6,5] => [4,7,1,2,6,3,8,5] => [6,4,2,3,8,5,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,2,6,3,5,7,1,4] => [7,8,6,1,3,2,5,4] => [7,6,8,3,2,5,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,8,1,2,6,5,7,3] => [8,1,7,4,6,2,5,3] => [4,1,6,7,8,5,2,3] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[2,1,5,7,6,3,8,4] => [2,1,6,7,5,8,4,3] => [2,1,7,5,8,6,3,4] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,8,5,2,3,4,7,6] => [1,5,2,3,8,7,4,6] => [1,7,2,3,5,8,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,5,8,2,3,4,7,6] => [1,8,2,3,5,7,4,6] => [1,5,2,3,7,8,6,4] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,2,7,8,4,5,6,3] => [1,2,6,8,4,5,7,3] => [1,2,7,6,3,4,8,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,2,3,4,5,6,9,7,10,8] => [1,2,3,4,5,6,9,10,7,8] => [1,2,3,4,5,6,10,9,8,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[3,2,5,6,4,8,1,7] => [8,3,2,6,5,4,1,7] => [3,5,1,6,8,2,4,7] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[2,3,6,1,7,5,8,4] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,6,1,7,5,8,3,2] => [6,3,8,4,7,1,5,2] => [4,6,3,8,7,5,1,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[4,2,6,5,1,7,8,3] => [5,4,6,2,8,3,7,1] => [6,7,4,2,5,1,8,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,1,5,7,6,8,3,2] => [4,3,8,1,5,7,6,2] => [4,5,3,2,7,8,1,6] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[3,5,6,2,1,4,7,8] => [2,6,3,1,5,4,7,8] => [3,2,5,1,6,4,7,8] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[4,3,6,5,1,7,8,2] => [5,6,4,3,8,2,7,1] => [6,4,7,1,5,2,8,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,5,4,7,6,9,8,10] => [1,2,3,5,4,7,6,9,8,10] => [1,2,3,5,4,7,6,9,8,10] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[5,8,1,4,2,3,6,7] => [8,4,2,1,5,3,6,7] => [4,5,1,3,8,2,6,7] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[4,5,8,2,3,1,6,7] => [3,8,2,4,5,1,6,7] => [4,3,1,5,8,2,6,7] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[3,5,4,8,1,7,2,6] => [8,7,3,5,4,2,1,6] => [3,5,7,8,1,2,6,4] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[3,5,1,8,6,4,7,2] => [5,7,3,6,1,8,4,2] => [5,3,8,7,4,6,1,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,2,5,6,8,3,7,4] => [1,2,8,7,5,6,3,4] => [1,2,5,6,7,8,4,3] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[5,3,8,4,6,2,7,1] => [7,6,5,8,3,4,2,1] => [6,7,8,5,2,1,3,4] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,6,8,1,2,4,7,3] => [8,1,7,2,5,6,4,3] => [5,1,6,3,7,8,2,4] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[4,3,5,1,8,6,7,2] => [5,7,4,3,1,8,6,2] => [5,4,8,1,3,7,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,3,5,6,8,4,7,2] => [1,7,3,8,5,6,4,2] => [1,3,6,5,7,8,2,4] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[6,5,1,2,4,8,7,3] => [5,1,6,3,7,4,8,2] => [8,1,6,2,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,2,1,3,6,4] => [2,7,1,6,5,3,8,4] => [5,2,1,6,8,4,7,3] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[5,1,7,2,8,6,3,4] => [5,7,6,3,1,8,2,4] => [8,5,7,1,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,4,2,8,7,3] => [1,4,6,7,5,3,8,2] => [1,6,5,4,8,2,7,3] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,5,1,4,8,2,3,6] => [5,7,1,2,8,3,4,6] => [8,7,2,3,5,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,1,7,5,6,4] => [8,3,2,6,7,5,1,4] => [3,6,1,8,7,2,5,4] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[7,4,3,1,8,5,2,6] => [3,4,7,5,8,2,1,6] => [8,4,3,7,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,3,4,5,2] => [8,5,6,3,4,1,7,2] => [5,7,6,1,2,4,8,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[3,4,2,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[4,3,1,2,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => [4,1,3,2,5,6,7,8,9] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[3,4,2,1,5,6,7,8,9,10] => [2,4,3,1,5,6,7,8,9,10] => [3,2,4,1,5,6,7,8,9,10] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,1,2,5,6,7,8,9,10] => [3,1,4,2,5,6,7,8,9,10] => [4,1,3,2,5,6,7,8,9,10] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,2,4,5,6,7,8,9,10,11] => [3,1,2,4,5,6,7,8,9,10,11] => [3,1,2,4,5,6,7,8,9,10,11] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,6,3,8,1,7,2] => [8,7,6,4,5,3,1,2] => [4,5,6,7,8,1,3,2] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,3,7,6,4,5,8,2] => [1,8,3,6,4,7,5,2] => [1,3,6,8,2,7,4,5] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[3,2,5,8,4,7,6,1] => [6,3,2,7,5,8,1,4] => [3,7,1,5,8,6,4,2] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,4,5,3,8,6,2,7] => [1,6,5,4,3,8,2,7] => [1,4,5,8,2,6,3,7] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,3,5,8,4,7,6,2] => [1,6,3,7,5,8,2,4] => [1,3,7,5,8,6,4,2] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,4,2,6,7,5,8,3] => [1,4,8,2,7,6,5,3] => [1,6,4,3,7,8,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[6,2,4,5,7,3,1,8] => [3,7,6,1,4,5,2,8] => [7,3,6,2,1,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,8,2,4,6,5,3,1] => [3,5,6,2,8,4,7,1] => [7,6,3,1,5,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,8,5,7,4,2,1,6] => [2,4,3,7,8,1,5,6] => [3,2,8,4,7,5,6,1] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,8,2,6,5,7,4,1] => [4,7,3,8,6,1,5,2] => [6,3,7,4,8,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[3,1,7,2,5,8,6,4] => [3,7,1,6,2,8,5,4] => [7,3,2,8,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,8,7,6,3,5,1,4] => [5,2,6,1,3,7,8,4] => [2,8,5,3,4,6,7,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,7,6,5,1,3] => [5,2,1,6,7,8,4,3] => [2,8,1,7,5,6,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,2,8,1,7,4] => [8,6,3,7,5,2,1,4] => [3,5,7,6,8,2,4,1] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[7,2,8,5,4,3,6,1] => [6,7,4,5,8,3,2,1] => [6,4,8,7,5,1,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,1,6,8,2,5,3,4] => [7,8,5,3,2,1,6,4] => [7,5,8,1,3,4,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,5,7,4,1,8,2] => [4,7,3,8,6,5,2,1] => [6,3,7,4,8,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[3,6,7,5,8,4,1,2] => [4,1,3,8,7,6,5,2] => [3,1,6,4,7,8,2,5] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[7,2,8,4,5,6,3,1] => [3,6,7,8,4,5,1,2] => [8,7,3,6,1,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,2,3,4,7,8,9] => [6,1,2,3,5,4,7,8,9] => [5,1,2,3,6,4,7,8,9] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[5,1,4,7,8,6,3,2] => [5,3,6,1,4,8,7,2] => [5,7,3,2,1,6,8,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,7,8,6,4,1,3,2] => [4,3,1,6,5,8,7,2] => [3,5,2,4,7,6,8,1] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[6,8,7,3,2,4,5,1] => [5,3,7,2,4,6,8,1] => [5,6,3,1,2,8,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[2,8,5,1,4,6,7,3] => [5,2,8,3,7,4,6,1] => [2,8,5,1,7,3,4,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,6,5,8,4,7] => [3,2,1,8,6,5,4,7] => [2,3,1,6,8,4,5,7] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[7,5,8,6,4,1,3,2] => [4,3,1,6,8,7,2,5] => [3,8,2,4,6,7,5,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,6,4,1,3,7] => [4,2,1,6,8,5,3,7] => [2,8,1,4,6,3,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,5,1,4,6,3,7] => [5,2,8,3,6,4,1,7] => [2,8,5,1,6,3,4,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,7,8,4,6,5] => [3,2,1,8,6,4,7,5] => [2,3,1,6,7,5,8,4] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[2,3,1,8,4,6,5,7] => [3,2,1,8,6,4,5,7] => [2,3,1,6,8,5,4,7] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[2,3,1,7,6,8,4,5] => [3,2,1,8,4,7,6,5] => [2,3,1,7,4,8,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[4,2,3,5,1,8,6,7] => [5,4,2,3,1,8,6,7] => [4,5,1,2,3,8,6,7] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[2,3,4,5,6,10,8,9,1,7] => [9,2,3,4,5,6,1,10,8,7] => [2,3,4,5,6,10,1,9,7,8] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,5,6,10,1,7,8,9] => [10,2,3,4,5,6,1,7,8,9] => [2,3,4,5,6,10,1,7,8,9] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[2,3,4,5,10,1,6,7,8,9] => [10,2,3,4,5,1,6,7,8,9] => [2,3,4,5,10,1,6,7,8,9] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,3,4,10,1,5,6,7,8,9] => [10,2,3,4,1,5,6,7,8,9] => [2,3,4,10,1,5,6,7,8,9] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,5,1,7,4,3,2] => [5,3,4,8,7,6,2,1] => [3,7,5,4,6,8,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[6,8,5,4,1,7,3,2] => [4,3,5,8,7,6,1,2] => [5,7,3,4,6,8,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[7,5,8,2,6,4,1,3] => [4,6,2,8,7,1,5,3] => [8,6,1,4,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,8,5,4,1,3] => [4,5,1,8,6,7,2,3] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,2,1,8,7,3] => [2,4,5,6,7,1,8,3] => [8,2,6,4,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,2,8,1,7,3] => [8,4,5,6,7,2,1,3] => [4,8,7,5,6,2,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[5,3,8,7,6,2,1,4] => [2,6,5,1,3,7,8,4] => [5,2,8,3,4,6,7,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,7,6,1,4,5,2,8] => [6,5,3,1,4,7,2,8] => [3,5,7,2,1,6,4,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[4,1,6,2,7,5,3,8] => [4,6,5,1,7,2,3,8] => [7,4,6,3,5,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,3,1,7,6,2,5,8] => [3,4,6,2,1,7,5,8] => [7,4,3,1,2,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,4,5,3,1,8,6,7] => [3,2,5,4,1,8,6,7] => [2,4,3,5,1,8,6,7] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[4,1,6,3,2,7,5,8] => [4,3,6,1,7,2,5,8] => [4,7,3,2,6,5,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[7,5,4,1,3,2,6,8] => [4,3,1,5,7,2,6,8] => [3,7,2,4,5,1,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[2,5,7,4,1,3,6,8] => [4,2,1,7,5,3,6,8] => [2,5,1,4,7,3,6,8] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[5,7,4,1,3,2,6,8] => [4,3,1,7,5,2,6,8] => [3,5,2,4,7,1,6,8] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[5,2,3,7,4,1,6,8] => [4,7,1,5,3,2,6,8] => [7,4,2,5,1,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,1,6,3,2,4,7,8] => [5,3,6,2,1,4,7,8] => [5,6,3,1,4,2,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[5,1,6,2,4,3,7,8] => [5,6,4,2,1,3,7,8] => [5,4,6,2,3,1,7,8] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[3,5,4,2,1,8,6,7] => [2,4,3,5,1,8,6,7] => [3,2,5,4,1,8,6,7] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[5,3,4,8,7,6,2,1] => [2,6,5,3,4,7,8,1] => [5,2,8,1,3,6,7,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,4,6,5,7,2,3,1] => [3,7,2,8,6,4,5,1] => [7,3,1,6,8,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,8,2,6,7,4,5,3] => [1,8,5,7,4,2,6,3] => [1,5,8,7,2,4,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,5,7,2,4,3,6,1] => [6,7,4,2,8,3,5,1] => [7,4,8,2,6,3,1,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,2,8,3,4,7,6,5] => [1,2,8,3,6,7,4,5] => [1,2,6,3,8,7,5,4] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[6,8,5,2,7,1,3,4] => [7,5,1,3,8,6,2,4] => [6,7,2,1,5,8,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,5,7,2,6,8,4,3] => [1,7,4,8,5,2,6,3] => [1,5,7,4,8,3,2,6] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[7,6,4,5,2,1,8,3] => [2,5,8,6,4,7,1,3] => [8,2,5,6,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,7,6,3,1,5] => [3,6,7,2,1,8,4,5] => [8,7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,1,4,6,3,2] => [5,3,7,2,6,4,8,1] => [5,8,3,1,6,2,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,3,8,5,4,2,1,6] => [2,4,5,8,7,1,3,6] => [8,2,5,4,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,5,3,4,2,6] => [7,4,5,3,8,2,1,6] => [4,8,7,1,5,2,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,3,8,6,1] => [6,5,4,8,2,7,1,3] => [5,6,8,4,2,7,3,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[2,7,3,4,8,5,6,1] => [6,2,7,3,8,5,4,1] => [2,8,7,1,6,3,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,8,3,5,4,1] => [4,2,5,8,1,7,6,3] => [2,7,5,4,3,8,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,3,2,7,5,8,4] => [1,3,6,8,7,2,5,4] => [1,8,3,6,7,5,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,6,8,1,4] => [8,5,7,1,3,2,6,4] => [5,8,7,3,2,4,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,2,5,3,6,7,8,1] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,5,4,2,8,7,3,6] => [1,4,5,7,3,2,8,6] => [1,8,5,4,2,3,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,8,3,5,2,4,7] => [1,5,8,2,3,6,4,7] => [1,6,5,3,4,8,2,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,7,6,2,3,5,8,4] => [1,6,2,7,4,8,5,3] => [1,8,2,7,3,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,6,5,2,4,7] => [1,5,3,2,6,8,4,7] => [1,3,8,2,5,6,4,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,7,3,2,8,6,5] => [1,3,7,4,6,8,2,5] => [1,4,3,7,8,6,5,2] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,7,5,3,2,6,4,8] => [1,3,5,7,6,4,2,8] => [1,7,3,5,6,2,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,3,2,8,4,6,5] => [1,3,7,8,6,4,2,5] => [1,7,3,6,8,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,6,5,2,8,4,7,3] => [1,5,6,7,8,3,2,4] => [1,8,7,6,5,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,3,7,2,4,6,5] => [1,7,8,2,6,4,3,5] => [1,7,6,3,8,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,2,8,7,6,1,3] => [6,4,1,5,2,7,8,3] => [4,8,2,5,3,6,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,6,1,5,8,4] => [6,3,7,8,1,2,5,4] => [7,8,3,6,4,5,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,8,2,5,1,7,4,3] => [5,8,4,7,2,6,1,3] => [6,4,7,5,2,8,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[6,7,5,2,8,1,3,4] => [8,5,1,3,7,6,2,4] => [5,7,2,1,6,8,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[5,8,1,2,6,7,4,3] => [8,1,4,7,5,2,6,3] => [4,1,7,5,8,3,2,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[6,5,8,2,7,4,1,3] => [4,7,2,8,6,5,1,3] => [7,6,1,4,8,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,2,1,7,5,8,4,3] => [2,6,4,8,7,1,5,3] => [6,2,8,4,7,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,5,6,2,8,7,1,4] => [7,6,3,1,5,2,8,4] => [3,5,6,2,8,4,7,1] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[5,2,8,6,1,3,7,4] => [6,5,1,8,2,7,4,3] => [6,8,2,5,4,7,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,2,3,8,6,1,7,4] => [6,5,2,8,3,7,4,1] => [6,8,1,5,3,7,2,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,6,5,1,3,7,8,2] => [5,6,2,4,8,3,7,1] => [6,4,1,7,5,2,8,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[5,1,8,3,6,2,7,4] => [5,6,8,7,1,3,2,4] => [8,7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,2,6,4,8,3] => [5,7,8,6,1,2,4,3] => [8,6,5,7,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,2,6,3,8,1] => [8,5,6,7,4,2,3,1] => [5,8,7,6,1,3,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,7,6,1,3,5,8,2] => [6,7,2,4,3,8,5,1] => [7,4,1,8,2,6,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,1,7,6,2,5,8,3] => [4,6,7,1,3,8,5,2] => [8,7,4,3,1,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,1,3,7,8,2] => [4,5,1,6,8,3,7,2] => [7,6,2,4,5,1,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,4,1,7,2,8,3,6] => [4,5,7,8,2,1,3,6] => [8,7,5,4,2,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,2,7,3,1,4] => [3,7,5,2,8,6,1,4] => [7,3,6,1,5,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,5,2,8,3,1,4] => [3,8,5,2,7,6,1,4] => [7,3,5,1,6,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,1,7,6,8,2,3,5] => [4,8,2,1,3,7,6,5] => [7,4,1,3,2,8,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,2,1,6,3,7,4,5] => [2,8,6,7,4,1,3,5] => [6,2,8,7,1,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,1,8,6,7,4,2,3] => [5,4,2,7,1,8,6,3] => [5,8,1,4,3,7,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,6,8,3,4] => [5,7,8,3,1,2,6,4] => [8,7,5,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,6,3,8,2,5] => [7,8,6,4,2,1,3,5] => [6,4,7,8,2,5,3,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[6,5,1,3,7,8,2,4] => [5,6,2,1,8,3,7,4] => [7,6,1,3,5,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,1,2,7,8,6,3,4] => [5,1,6,3,2,8,7,4] => [7,1,5,2,4,6,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,1,2,4,3,7,8,5] => [6,1,4,2,8,3,7,5] => [4,1,7,3,6,5,8,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[7,5,6,1,2,4,8,3] => [6,1,8,2,7,5,4,3] => [8,1,6,3,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,8,7,2,3,5] => [6,7,2,1,3,4,8,5] => [8,6,1,3,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,5,8,3,4,2] => [1,4,8,3,7,6,5,2] => [1,6,4,2,7,8,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[6,1,4,7,8,2,3,5] => [6,8,2,1,3,4,7,5] => [7,6,1,3,4,5,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,1,8,7,5,2,3,4] => [6,5,2,3,7,1,8,4] => [6,8,1,2,5,4,7,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,1,2,4,6,5,7] => [3,1,8,2,6,4,5,7] => [6,1,3,2,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,3,1,2,4,5,7,6] => [3,1,8,2,4,7,5,6] => [7,1,3,2,4,8,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,1,7,4,8,2,3,5] => [6,8,2,7,3,1,4,5] => [8,6,1,7,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,1,2,4,3] => [5,1,4,2,8,6,7,3] => [4,1,6,3,5,7,8,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[4,3,8,5,6,2,7,1] => [7,6,4,3,8,5,2,1] => [4,7,8,1,6,2,3,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[4,3,8,6,7,2,5,1] => [5,7,4,3,2,8,6,1] => [5,4,8,1,2,7,3,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,6,8,1,5,3,4,2] => [8,4,5,3,1,7,6,2] => [4,7,5,1,3,8,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[7,4,6,1,5,3,8,2] => [6,8,5,7,1,4,3,2] => [7,5,8,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,8,3,7,4,5,2] => [6,5,8,7,4,1,3,2] => [7,8,5,6,1,4,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,3,8,1,7,2,5,4] => [8,7,6,5,2,3,1,4] => [5,6,7,8,3,2,4,1] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[7,2,3,1,5,4,8,6] => [3,7,2,5,1,8,4,6] => [5,3,1,8,4,7,6,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,1,5,4,8,2,7,3] => [6,8,7,5,1,4,2,3] => [7,5,6,8,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,1,8,5,7,3,4,2] => [6,4,7,3,8,1,5,2] => [7,8,4,1,6,5,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,2,5,4,7,1,8,3] => [7,6,8,5,2,4,1,3] => [6,7,5,8,3,1,4,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[2,6,3,4,8,7,5,1] => [5,2,7,1,6,4,8,3] => [2,8,5,3,6,1,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,3,4,6,7,5,2] => [8,5,1,3,7,4,6,2] => [5,8,2,1,7,3,4,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,3,6,7,5,1,2,4] => [5,1,7,3,8,2,6,4] => [8,1,7,2,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,6,5,7,4,3] => [2,8,4,7,6,1,5,3] => [4,2,7,6,8,5,1,3] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[2,7,8,6,1,5,3,4] => [6,2,5,3,1,8,7,4] => [2,5,7,1,4,6,8,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,6,8,2,3,5,1,7] => [5,8,2,4,3,6,1,7] => [5,4,1,6,2,8,3,7] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[3,5,8,6,2,1,4,7] => [2,6,3,1,5,8,4,7] => [3,2,5,1,8,6,4,7] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[2,4,8,5,6,1,3,7] => [6,2,1,4,8,5,3,7] => [2,4,1,8,6,3,5,7] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[4,8,2,5,6,1,3,7] => [6,8,1,4,2,5,3,7] => [6,4,2,8,3,1,5,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,3,8,4,2,7,6,1] => [6,4,7,5,2,8,1,3] => [5,8,4,7,2,6,3,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,7,8,4,6,3,2,5] => [1,3,6,8,2,4,7,5] => [1,7,3,6,4,5,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[8,7,3,6,5,2,4,1] => [4,5,6,3,7,2,8,1] => [8,6,4,1,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,8,6,5,7,4] => [3,1,2,7,6,8,5,4] => [3,1,2,7,8,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[8,7,1,4,5,3,6,2] => [7,6,5,1,4,3,8,2] => [5,6,8,3,1,2,7,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[8,4,1,3,2,5,7,6] => [4,3,1,8,2,7,5,6] => [3,7,2,4,1,8,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[6,7,5,2,4,8,3,1] => [3,8,5,1,7,6,4,2] => [7,3,5,2,6,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,2,7,3,4,6,1,5] => [6,8,7,3,1,4,2,5] => [8,6,7,1,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,4,3,7,1] => [7,6,4,2,8,5,3,1] => [4,7,8,2,6,1,3,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[6,5,8,1,3,4,2,7] => [8,4,1,3,6,5,2,7] => [4,6,2,1,8,3,5,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[6,7,1,4,3,2,8,5] => [7,3,4,1,8,6,2,5] => [3,7,4,2,6,8,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,2,5,1,4,8,3,6] => [5,7,8,1,2,3,4,6] => [8,7,5,3,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,3,2,8,5,4] => [1,3,7,5,8,6,2,4] => [1,6,3,7,5,8,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[3,2,7,6,8,4,5,1] => [5,3,2,8,4,7,6,1] => [3,7,1,5,2,8,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,3,8,5,2,7,6,4] => [1,5,3,8,6,7,4,2] => [1,3,8,5,6,7,2,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,5,2,8,7,3] => [4,6,5,7,2,3,8,1] => [8,5,6,4,2,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,3,1,8,2,4] => [3,5,6,1,7,8,2,4] => [8,7,3,2,5,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,5,7,4,8,3] => [6,2,8,7,1,5,4,3] => [2,8,6,7,4,1,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,1,6,3,8,4] => [7,2,6,8,5,1,3,4] => [2,6,7,5,8,4,3,1] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[3,6,5,1,4,2,7,8] => [5,4,3,1,6,2,7,8] => [3,4,6,2,5,1,7,8] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[3,6,5,2,1,4,7,8] => [2,5,3,1,6,4,7,8] => [3,2,6,1,5,4,7,8] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[4,5,2,7,6,1,3,8] => [6,5,1,4,2,7,3,8] => [4,5,2,7,3,6,1,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[5,4,1,6,3,7,2,8] => [4,5,7,6,2,1,3,8] => [7,6,4,5,2,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,6,5,7,1,4,2,8] => [7,4,3,1,6,5,2,8] => [3,4,6,2,7,1,5,8] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[3,6,5,1,4,7,2,8] => [5,6,3,2,7,4,1,8] => [6,3,7,1,5,2,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[4,2,5,7,6,1,3,8] => [6,4,1,2,5,7,3,8] => [4,5,2,3,7,6,1,8] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[4,2,5,7,6,3,8,1] => [8,4,6,2,5,7,3,1] => [4,6,5,2,8,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[4,6,5,2,7,3,1,8] => [3,7,5,4,6,1,2,8] => [5,3,4,7,6,2,1,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[3,5,8,2,1,4,6,7] => [2,8,3,1,5,4,6,7] => [3,2,5,1,8,4,6,7] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[3,5,8,2,4,6,7,1] => [7,8,3,2,5,4,6,1] => [5,3,7,1,8,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[5,3,8,2,1,4,6,7] => [2,8,5,1,3,4,6,7] => [5,2,8,3,4,1,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,1,3,8,2,4,6,7] => [5,8,1,2,3,4,6,7] => [8,5,2,3,4,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,2,3,6,7] => [1,4,2,8,5,3,6,7] => [1,5,2,4,8,3,6,7] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[5,8,2,1,4,3,6,7] => [2,8,4,1,5,3,6,7] => [4,2,5,3,8,1,6,7] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[5,8,2,4,6,3,1,7] => [3,6,8,1,5,4,2,7] => [6,5,3,2,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,5,8,4,6,7,2,3] => [1,7,2,8,5,4,6,3] => [1,7,2,5,8,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,8,4,6,7,2,5,1] => [5,7,3,8,2,4,6,1] => [7,3,8,5,2,1,4,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,3,6,7,2,1,5] => [2,7,4,8,1,3,6,5] => [7,2,8,4,3,5,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,8,6,4,5,7,2,3] => [1,7,2,6,4,8,5,3] => [1,7,2,8,3,6,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,6,2,4,5,3,1,7] => [3,5,6,1,4,8,2,7] => [8,5,3,2,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,4,2,3,5,7] => [1,4,2,6,3,8,5,7] => [1,8,2,4,3,6,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,1,6,2,4,5,7] => [8,6,3,2,4,1,5,7] => [3,6,8,1,2,5,4,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,8,6,2,1,4,5,7] => [2,6,3,1,4,8,5,7] => [3,2,8,1,4,6,5,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[8,1,3,6,2,4,5,7] => [8,6,1,2,4,3,5,7] => [6,8,2,3,1,5,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,6,7,2,1,4,5] => [2,7,8,1,4,3,6,5] => [8,2,7,3,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,6,7,5,2,3] => [1,5,2,7,8,3,6,4] => [1,8,2,7,5,4,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,4,2,6,3,7,5] => [1,4,8,6,7,3,2,5] => [1,8,4,6,7,3,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,1,4,7,3,6,5] => [2,8,7,1,6,3,4,5] => [6,2,7,3,8,5,4,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,4,3,1,5,7,2,6] => [3,4,8,7,1,2,5,6] => [8,4,3,7,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,8,5,6,2,7] => [3,4,6,2,8,5,1,7] => [8,4,3,1,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,4,5,8,6] => [2,3,1,7,4,8,5,6] => [3,2,1,8,4,7,6,5] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,2,8,6,1,4,7,5] => [6,3,2,1,8,7,5,4] => [3,8,1,2,6,7,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,8,1,4,7,5] => [8,3,2,1,7,6,4,5] => [3,6,1,2,7,8,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[2,1,5,8,7,3,6,4] => [2,1,7,6,5,3,8,4] => [2,1,5,6,8,4,7,3] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[3,2,1,6,7,4,8,5] => [2,3,1,7,8,6,4,5] => [3,2,1,7,6,8,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[3,1,5,2,6,8,7,4] => [3,5,1,7,2,6,8,4] => [6,3,2,5,4,8,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,5,8,6,4,1,7,2] => [4,6,3,8,5,7,1,2] => [5,3,6,4,8,7,2,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,4,3,6,8,2,7,5] => [1,8,4,3,7,6,2,5] => [1,4,6,2,7,8,5,3] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[5,1,8,6,4,2,3,7] => [5,4,2,6,1,8,3,7] => [5,8,1,4,3,6,2,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,3,2,7,8,6,4,1] => [4,3,6,5,1,8,7,2] => [4,7,3,5,2,6,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[4,2,7,8,3,5,6,1] => [6,4,8,2,3,5,7,1] => [6,7,4,2,1,3,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[2,8,3,7,1,4,6,5] => [7,2,8,1,6,4,3,5] => [2,7,6,3,8,4,5,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,8,7,1,5,3,6,4] => [7,2,5,6,1,3,8,4] => [2,5,8,6,4,3,7,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,4,7,6,1,2,8,3] => [6,1,7,5,4,8,3,2] => [7,1,5,8,2,6,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,3,5,6,4,2,8,1] => [8,4,6,7,2,5,3,1] => [4,8,7,6,2,1,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,8,4,2,7,6,5,1] => [5,4,3,6,7,8,2,1] => [3,7,8,4,5,6,1,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,2,6,4,1,8,5] => [4,3,6,7,8,1,2,5] => [7,8,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,3,7,1,5,6,2] => [7,6,8,4,1,5,3,2] => [6,7,4,8,3,1,2,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[3,2,4,8,7,5,6,1] => [6,3,2,4,7,5,8,1] => [3,4,1,8,6,2,7,5] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[2,6,8,1,5,3,4,7] => [8,2,5,3,1,6,4,7] => [2,5,6,1,4,8,3,7] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[3,2,5,6,8,1,4,7] => [8,3,2,1,5,6,4,7] => [3,5,1,2,6,8,4,7] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[3,8,1,6,4,5,2,7] => [8,5,3,6,4,1,2,7] => [3,5,8,6,1,4,2,7] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[8,1,3,6,5,4,2,7] => [8,4,1,5,6,3,2,7] => [4,8,2,5,6,1,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,8,6,3,7,5] => [1,2,6,4,8,7,5,3] => [1,2,4,8,6,7,3,5] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[7,1,5,2,4,6,8,3] => [7,5,8,2,1,4,6,3] => [7,8,5,2,4,1,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,8,6,4,7,5,3,2] => [1,3,5,7,6,8,2,4] => [1,8,3,5,7,6,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,8,7,3,1,2,6] => [3,1,7,4,5,2,8,6] => [4,1,3,5,8,2,7,6] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,3,8,7,6,4,2,5] => [1,4,3,6,2,7,8,5] => [1,3,8,4,2,6,7,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,8,5,1,7,4,6,3] => [5,2,8,6,7,1,3,4] => [2,8,5,7,6,4,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,6,4,7,5,2,3] => [1,5,2,7,6,8,3,4] => [1,8,2,5,7,6,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,8,6,3,7,5,2] => [4,5,7,1,6,8,2,3] => [8,5,4,3,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,4,8,2,3,6] => [1,8,2,5,7,3,4,6] => [1,5,2,8,7,4,6,3] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,5,1,7,4,2,6,8] => [5,4,3,7,1,2,6,8] => [3,5,7,4,2,1,6,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[8,4,3,1,6,2,5,7] => [3,4,8,6,2,1,5,7] => [8,4,3,6,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,3,7,1,6,2] => [7,6,4,5,8,1,3,2] => [4,6,8,7,5,3,1,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[5,7,2,8,6,3,1,4] => [3,6,8,1,5,7,2,4] => [6,5,3,2,8,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,7,2,8,6,4,3,5] => [1,7,4,6,3,8,2,5] => [1,4,8,7,2,6,5,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,5,4,2,7,1,8,3] => [7,4,5,6,8,2,1,3] => [4,8,7,6,5,2,3,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,1,7,8,2,6] => [4,5,3,8,2,1,7,6] => [5,3,7,4,1,2,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[7,5,4,3,1,6,8,2] => [3,4,5,7,8,2,6,1] => [8,7,3,4,5,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,8,7,2,4,6] => [3,7,1,2,5,4,8,6] => [5,3,2,1,8,4,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[5,3,7,4,2,6,8,1] => [8,4,7,5,2,3,6,1] => [4,8,5,7,2,1,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,3,8,4,2,1,6,7] => [2,4,8,5,1,3,6,7] => [8,2,4,5,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,7,8,4,2,6] => [3,4,1,8,5,2,7,6] => [5,3,2,4,7,1,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[6,2,3,7,4,8,5,1] => [5,8,1,6,7,4,3,2] => [8,5,2,7,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,6,4,3,5,7] => [1,2,4,6,3,8,5,7] => [1,2,8,4,3,6,5,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,3,7,4,5,2,8] => [6,5,1,7,4,3,2,8] => [6,7,2,5,1,3,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,8,6,3,5,4,2,7] => [1,4,5,6,2,8,3,7] => [1,8,5,4,3,6,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,8,5,3,4,7] => [6,2,5,3,8,1,4,7] => [2,6,8,1,5,4,3,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,5,7,8,1,6,3,2] => [8,3,6,4,5,1,7,2] => [3,5,4,6,7,2,8,1] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,8,2,7,5,3,4,6] => [1,8,5,3,7,4,2,6] => [1,5,8,2,7,3,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,4,5,8,2,6,1,3] => [6,8,1,7,4,2,5,3] => [8,6,2,7,1,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,1,8,6,7,3] => [2,4,5,7,3,8,6,1] => [8,2,5,4,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,8,1,6,2,3] => [8,6,2,4,7,1,5,3] => [4,6,1,8,7,5,2,3] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[4,1,5,3,8,6,7,2] => [4,7,5,1,3,8,6,2] => [8,4,5,3,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,8,2,6,1,5] => [6,8,7,3,1,2,4,5] => [8,6,7,1,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,8,3,6,1,5] => [6,4,7,8,1,2,3,5] => [7,8,6,4,3,5,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,4,6,1,7,3,2] => [6,3,7,5,8,4,1,2] => [6,7,3,8,5,1,4,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,3,2,4,8,1,6,7] => [8,3,5,2,4,1,6,7] => [3,8,5,1,2,4,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,3,5,1,7,6,2] => [5,6,4,7,2,8,1,3] => [7,5,8,4,2,6,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,3,2,8,4,6,7,1] => [7,3,5,8,2,4,6,1] => [3,8,7,5,2,1,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,8,6,3,2,5,1] => [5,3,6,4,2,8,7,1] => [4,5,3,7,1,6,8,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[8,4,5,3,7,1,6,2] => [7,6,5,8,4,1,3,2] => [6,7,8,5,1,4,2,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[5,3,2,4,8,7,1,6] => [7,3,5,2,4,1,8,6] => [3,8,5,1,2,4,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,3,1,4,8,5] => [3,2,6,1,7,8,5,4] => [2,8,3,1,7,6,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,5,6,8,2,1] => [2,8,3,7,4,5,6,1] => [3,2,7,8,1,4,5,6] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[4,6,8,3,7,1,5,2] => [7,5,8,4,1,6,3,2] => [5,6,4,7,3,8,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[4,7,3,5,8,1,6,2] => [8,6,7,4,3,1,5,2] => [4,7,6,8,1,5,2,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[8,4,3,5,7,1,6,2] => [7,6,4,8,3,1,5,2] => [6,7,8,4,1,5,2,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,7,1,2,5,6,3,4] => [7,1,6,3,2,5,8,4] => [6,1,8,2,4,3,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,2,6,5,7,8,3,4] => [1,2,8,3,6,5,7,4] => [1,2,6,3,7,4,8,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[8,5,2,4,3,7,6,1] => [6,5,4,1,7,8,3,2] => [4,7,8,3,5,6,1,2] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[8,5,1,4,3,2,7,6] => [5,3,4,1,8,7,2,6] => [3,7,4,2,5,8,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[8,5,1,4,3,6,7,2] => [5,8,4,2,7,3,6,1] => [5,4,8,2,7,1,3,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,5,4,1,3,6,8,2] => [4,5,1,7,8,3,6,2] => [8,7,2,4,5,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,4,8,3,5,7] => [1,2,8,6,3,4,5,7] => [1,2,6,8,4,5,3,7] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[3,6,7,2,5,1,8,4] => [5,7,3,8,2,6,1,4] => [6,3,7,5,2,8,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[2,6,5,7,1,4,8,3] => [7,2,8,1,6,5,4,3] => [2,7,6,3,8,1,4,5] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,5,2,4,6,8,7,3] => [1,5,7,2,4,6,8,3] => [1,6,5,3,2,8,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[6,1,3,2,8,5,7,4] => [6,3,1,7,8,2,5,4] => [3,8,2,7,6,5,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,4,5,6,7,9,8] => [3,1,2,4,5,6,7,9,8] => [3,1,2,4,5,6,7,9,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[8,5,3,2,4,7,1,6] => [7,3,5,2,8,1,4,6] => [3,8,7,1,5,4,6,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,2,5,8,3,1] => [3,8,4,7,1,6,5,2] => [7,3,4,6,2,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,5,2,1,6,4,3,7] => [2,5,4,8,6,3,1,7] => [5,2,8,4,6,1,3,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,4,6,5,1,3,2,7] => [5,3,1,6,8,2,4,7] => [3,8,2,6,5,4,1,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,6,1,4,8,3] => [6,7,8,1,5,2,4,3] => [7,6,5,3,8,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,8,5,7,6,1,2,4] => [6,1,3,2,7,8,4,5] => [3,1,8,2,7,6,5,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[3,8,6,4,7,2,1,5] => [2,7,3,6,1,8,4,5] => [3,2,7,8,4,6,5,1] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[5,2,7,4,6,8,3,1] => [3,8,5,7,1,4,6,2] => [8,3,5,7,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,3,7,2,1,5] => [2,7,6,4,1,8,3,5] => [4,2,7,8,3,6,5,1] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[2,8,3,1,7,6,4,5] => [3,2,8,6,4,7,1,5] => [2,6,3,8,1,7,5,4] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,5,6,4,8,1,7,3] => [8,2,7,6,5,4,1,3] => [2,5,6,7,8,1,4,3] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[4,7,8,5,1,6,2,3] => [5,8,1,4,6,2,7,3] => [5,4,2,7,6,3,8,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[3,5,6,7,4,1,8,2] => [4,7,3,8,5,6,2,1] => [5,3,6,4,7,8,1,2] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[3,5,1,4,2,6,7,8] => [5,4,3,1,2,6,7,8] => [3,4,5,2,1,6,7,8] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,4,7,5,6,2,3,8] => [1,6,2,4,7,5,3,8] => [1,4,2,7,6,3,5,8] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,8,4,2,3,7,5,6] => [1,4,2,8,7,5,3,6] => [1,7,2,4,8,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,5,2,3,8,6,7,4] => [1,5,2,7,3,8,6,4] => [1,8,2,5,4,7,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,7,6,4,3,8] => [1,5,4,6,2,7,3,8] => [1,5,7,4,3,6,2,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,5,3,8,4,2,6,7] => [1,4,8,5,2,3,6,7] => [1,8,4,5,3,2,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,4,7,5,3,6] => [1,8,5,2,7,3,4,6] => [1,5,8,3,7,4,6,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,7,5,2,4,3,6,8] => [1,5,4,2,7,3,6,8] => [1,4,7,3,5,2,6,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,8,6,5,2,4,3,7] => [1,5,4,2,6,8,3,7] => [1,4,8,3,5,6,2,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,6,5,4,2,7,3,8] => [1,4,5,6,7,2,3,8] => [1,7,6,4,5,3,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,3,2,6,4,5,8] => [1,3,7,6,4,2,5,8] => [1,6,3,7,2,5,4,8] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,2,8,6,7,5,4,3] => [1,2,4,5,7,8,6,3] => [1,2,8,4,5,7,3,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,8,5,7,4,6,2,1] => [2,6,3,7,8,4,5,1] => [3,2,8,7,6,4,1,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,4,1,3,8,7] => [4,5,1,2,6,3,8,7] => [6,4,2,3,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,6,3,2,5,1,8,4] => [5,3,6,7,4,8,1,2] => [7,8,3,5,1,6,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,6,3,7,5,8,2,1] => [2,8,6,4,7,3,5,1] => [4,2,6,8,7,3,1,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[4,2,5,7,8,6,3,1] => [3,6,4,1,5,8,7,2] => [5,3,4,2,7,6,8,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[4,2,5,8,7,6,3,1] => [3,6,4,1,5,7,8,2] => [5,3,4,2,8,6,7,1] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[6,7,2,4,5,1,8,3] => [5,7,8,2,4,6,1,3] => [7,6,5,2,1,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,2,3,4,1,8,5,6] => [4,7,2,3,8,5,1,6] => [8,4,1,2,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,8,1,3,6,5] => [8,2,1,4,6,3,7,5] => [2,4,1,6,7,5,8,3] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[8,4,2,3,1,7,6,5] => [3,4,2,8,6,7,1,5] => [6,3,1,4,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,7,2,5,1,4,3,6] => [5,7,4,1,2,3,8,6] => [5,4,8,3,2,1,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,3,5,4,1,2,7,6] => [4,1,5,8,2,7,3,6] => [7,1,5,4,3,8,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,2,4,3,1,7,6,5] => [3,4,8,1,6,7,2,5] => [6,4,3,2,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,1,6,2,8,5,4,7] => [3,6,1,5,8,2,4,7] => [6,3,2,8,5,4,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,1,3,5,2,4,7,6] => [8,5,1,2,3,7,4,6] => [5,7,2,3,4,8,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[8,6,5,1,7,4,2,3] => [5,4,2,6,8,7,1,3] => [6,8,1,4,5,7,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,3,1,2,7,4,6] => [3,1,8,7,5,4,2,6] => [5,1,3,7,8,2,6,4] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[8,4,3,5,1,2,7,6] => [5,1,4,8,3,7,2,6] => [5,1,7,4,2,8,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[3,8,4,2,1,7,6,5] => [2,4,3,8,6,7,1,5] => [3,2,6,4,8,7,5,1] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[8,4,5,2,7,1,6,3] => [7,5,6,8,4,1,2,3] => [6,8,7,5,1,4,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,1,7,5,6,2,4] => [3,8,6,1,7,5,2,4] => [8,3,6,2,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,7,5,3,1,6] => [3,5,4,7,8,1,2,6] => [8,3,7,4,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,7,5,1,2,6] => [5,1,4,7,8,3,2,6] => [7,1,8,4,5,2,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,7,6,5,2,1,3] => [2,5,1,6,7,8,4,3] => [8,2,1,7,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,4,7,6,2,5] => [3,8,6,2,1,7,4,5] => [8,3,6,1,4,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,6,2,4,1] => [4,6,7,3,2,8,5,1] => [8,7,4,1,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,8,2,5,7,3] => [1,8,7,4,2,6,5,3] => [1,4,6,7,3,8,2,5] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[4,2,6,8,1,5,7,3] => [8,4,7,2,1,6,5,3] => [4,7,6,2,3,8,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[5,2,1,6,8,3,7,4] => [2,5,8,7,1,6,3,4] => [7,2,5,6,4,8,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,5,2,6,8,3,7,4] => [1,5,8,7,2,6,3,4] => [1,7,5,6,4,8,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,5,3,1,8,2,6,7] => [3,5,8,4,2,1,6,7] => [5,4,3,8,1,2,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[3,5,8,1,4,6,2,7] => [8,6,3,1,5,4,2,7] => [3,5,6,2,8,1,4,7] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,6,7,3,8,4,2,5] => [1,4,8,7,3,6,2,5] => [1,7,4,6,2,8,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,1,7,3,2,8,4,5] => [6,3,7,8,4,1,2,5] => [7,8,3,6,1,5,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,2,1,7,3,8,4,5] => [2,6,7,8,4,1,3,5] => [8,2,7,6,1,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,1,3,4,6,7] => [2,8,1,3,5,4,6,7] => [5,2,1,3,8,4,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[7,3,1,8,2,4,6,5] => [3,7,8,1,6,4,2,5] => [7,6,3,2,8,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,2,5,1,8,3,6,7] => [5,4,8,2,1,3,6,7] => [5,8,4,2,3,1,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,4,2,8,3,1,5,6] => [3,8,4,7,2,5,1,6] => [8,3,4,7,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,8,2,1,5,6,3] => [2,8,6,4,1,5,7,3] => [4,2,6,7,3,1,8,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[6,7,8,5,2,1,4,3] => [2,5,4,1,8,6,7,3] => [4,2,6,3,5,7,8,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[4,7,8,2,1,5,3,6] => [2,8,5,4,1,3,7,6] => [4,2,5,7,3,1,8,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,6,2,7,8,4,3,5] => [1,6,4,8,3,2,7,5] => [1,6,7,4,2,5,8,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[8,2,1,5,6,3,4,7] => [2,8,6,3,1,5,4,7] => [6,2,8,1,4,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,3,4,1,8,6,2,5] => [4,6,8,2,3,7,1,5] => [8,6,4,2,1,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,7,8,6,2,5,3] => [1,6,5,4,2,8,7,3] => [1,4,5,7,3,6,8,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[2,7,4,8,5,1,3,6] => [5,2,1,8,7,4,3,6] => [2,8,1,5,7,3,6,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,3,8,7,1,5] => [7,6,4,2,1,3,8,5] => [4,6,8,2,3,5,7,1] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[7,4,5,2,8,6,1,3] => [6,5,1,8,3,7,2,4] => [6,8,2,5,3,7,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,1,5,4,6,3,2] => [7,3,6,5,1,4,8,2] => [3,6,5,8,4,1,7,2] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[2,5,7,3,8,1,6,4] => [8,2,7,6,5,1,3,4] => [2,5,6,7,8,4,3,1] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[4,3,8,6,5,2,7,1] => [7,5,4,3,6,8,2,1] => [4,5,8,1,7,6,2,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,4,1,6,5,7,2,3] => [4,8,1,7,6,2,5,3] => [7,4,2,6,8,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,4,7,3,1,2,6,8] => [3,1,7,5,4,2,6,8] => [5,1,3,7,2,4,6,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[8,1,2,7,6,4,3,5] => [8,1,4,6,3,7,2,5] => [4,1,8,6,2,7,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,3,2,6,1,4,8,5] => [6,3,7,1,8,2,4,5] => [7,8,3,2,6,5,4,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,5,6,2,4,8,1] => [8,6,7,2,3,5,4,1] => [6,8,7,2,3,1,4,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,4,6,5,2,1,7] => [2,5,6,1,8,4,3,7] => [8,2,6,3,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,1,5,4,3,7] => [6,8,4,5,1,2,3,7] => [5,4,8,6,3,2,1,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,2,4,1,6,5,8,7,9] => [4,3,2,1,6,5,8,7,9] => [3,4,1,2,6,5,8,7,9] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[3,7,1,5,6,2,4,8] => [7,6,3,2,1,5,4,8] => [3,6,7,1,4,2,5,8] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[5,8,2,6,7,3,4,1] => [4,8,7,3,5,2,6,1] => [7,4,5,1,8,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,2,6,7,4,5,8,1] => [8,3,2,7,4,6,5,1] => [3,6,1,7,2,8,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[2,3,6,7,8,4,5,1] => [5,2,3,8,4,6,7,1] => [2,3,6,5,1,7,8,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[7,3,4,2,8,6,1,5] => [6,4,8,1,3,7,2,5] => [6,8,4,3,1,7,5,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,3,4,2,7,1,8,6] => [7,4,5,3,2,8,1,6] => [4,8,5,1,2,7,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,8,1,2,7,5] => [8,1,3,6,7,4,2,5] => [3,1,6,8,7,4,5,2] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[7,4,6,1,2,8,5,3] => [6,1,5,8,7,3,2,4] => [7,1,8,5,6,3,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,4,6,1,8,5,2,3] => [6,5,2,8,7,3,1,4] => [7,8,1,5,6,3,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,6,7,2,4,1,3] => [4,7,1,2,8,5,6,3] => [8,4,2,3,7,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,7,1,2,4,3] => [7,1,4,2,8,5,6,3] => [4,1,8,3,7,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,1,3,7,6,2,8,4] => [5,6,1,7,3,8,4,2] => [8,7,2,5,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,5,7,4,8,2] => [6,8,1,7,3,5,4,2] => [8,6,2,7,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,6,5,4,8,2] => [7,8,1,5,6,3,4,2] => [6,5,2,8,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,3,5,1,7,2,6,8] => [5,7,4,3,1,2,6,8] => [5,4,7,1,3,2,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[3,7,6,2,5,1,4,8] => [5,6,3,1,2,7,4,8] => [5,3,7,2,4,6,1,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[6,8,4,2,3,1,7,5] => [3,4,2,8,7,6,1,5] => [6,3,1,4,7,8,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,7,6,2,8,3,5,4] => [1,6,7,5,2,8,3,4] => [1,7,5,8,4,6,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,6,3,1,4,8,5] => [3,6,7,2,8,1,4,5] => [8,7,3,1,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,3,4,8,2,6] => [5,7,2,3,8,1,4,6] => [8,7,1,2,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,8,5,2,7,6] => [4,5,1,3,8,7,2,6] => [7,4,2,1,5,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,8,5,4,7,2,3,6] => [1,7,2,5,8,3,4,6] => [1,7,2,8,5,4,6,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,4,3,8,6,5,1,7] => [5,2,4,3,6,8,1,7] => [2,4,8,1,5,6,3,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,1,7,3,2,8,4,6] => [5,3,7,8,1,4,2,6] => [7,8,3,5,4,1,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,7,8,1,3,2,4,6] => [8,3,1,2,5,4,7,6] => [3,5,2,1,7,4,8,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,7,4,8,3,6,2,5] => [1,6,8,7,2,3,4,5] => [1,8,6,7,4,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,2,7,5,3,4,1,6] => [4,8,5,3,7,1,2,6] => [8,4,5,1,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,2,8,7,5,4] => [3,1,6,5,7,2,8,4] => [6,1,3,8,5,4,7,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,4,7,2,6,3,1,5] => [3,6,7,8,2,1,4,5] => [8,7,3,6,2,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,7,8,3,6,4] => [1,2,8,6,5,3,7,4] => [1,2,5,6,7,4,8,3] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[7,6,3,4,2,1,8,5] => [2,4,6,3,7,8,5,1] => [8,2,4,1,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,8,1,7,2,6] => [8,7,3,4,5,2,1,6] => [3,4,5,7,8,1,6,2] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[5,6,3,7,8,2,1,4] => [2,8,6,1,5,3,7,4] => [5,2,6,3,7,4,8,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[8,6,3,4,7,2,1,5] => [2,7,6,3,1,8,4,5] => [7,2,8,1,4,6,5,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,3,8,6,7,5,1,2] => [5,1,4,3,7,8,6,2] => [4,1,8,2,5,7,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,6,3,4,1,7,2,5] => [4,7,6,3,2,8,1,5] => [8,4,7,1,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,6,7,3,2,8] => [5,3,7,4,1,6,2,8] => [4,5,3,6,2,7,1,8] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[3,7,4,8,1,5,6,2] => [8,6,3,7,1,5,4,2] => [3,6,8,7,4,1,2,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[6,3,8,4,1,5,7,2] => [4,8,7,6,2,1,5,3] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,1,7,5,8,2] => [4,8,6,3,7,1,5,2] => [8,4,6,1,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,5,8,3,1,4] => [3,8,7,2,1,6,5,4] => [7,3,6,1,4,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,7,5,4,1,6,8,2] => [4,5,3,7,8,1,6,2] => [7,3,8,4,5,2,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,2,1,4,6,8,7,3] => [2,5,7,1,4,6,8,3] => [6,2,5,3,1,8,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,1,7,6,3,2,5,8] => [4,3,6,1,2,7,5,8] => [4,7,3,2,1,6,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,8,6,4,7,3,5,2] => [1,5,7,6,3,8,4,2] => [1,8,5,7,3,6,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,4,2,6,3,8] => [7,4,5,6,1,3,2,8] => [4,7,6,5,3,1,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[8,5,6,3,7,2,1,4] => [2,7,6,1,8,5,3,4] => [7,2,8,3,6,1,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,5,3,6,7,1,8,4] => [7,2,5,8,3,6,1,4] => [2,6,7,5,3,8,4,1] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[9,8,7,6,5,2,4,3,1] => [3,4,5,1,6,7,8,9,2] => [9,4,3,2,5,6,7,8,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,3,4,6,8,1,7,5] => [8,2,3,4,7,6,1,5] => [2,3,4,6,7,8,5,1] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[9,3,4,5,6,7,8,10,1,2] => [10,1,9,3,4,5,6,7,8,2] => [9,1,10,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[2,5,4,8,6,7,3,1] => [3,2,7,5,4,8,6,1] => [2,5,3,8,1,7,4,6] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,5,4,1,6,8,2,3] => [4,5,2,7,8,1,6,3] => [8,7,1,4,5,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,1,7,6,3,4] => [2,5,8,1,6,7,3,4] => [8,2,5,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,2,1,5,8,7] => [2,6,4,3,1,5,8,7] => [4,2,6,1,3,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[5,4,7,3,2,1,8,6] => [2,3,7,5,4,8,1,6] => [5,2,3,8,1,7,6,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,7,3,6,4,1,8,5] => [4,2,6,7,8,1,3,5] => [2,8,7,4,6,5,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,5,3,1,8,4] => [3,2,5,7,8,6,4,1] => [2,7,3,6,5,8,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,8,4,1,7,3,6,2] => [4,8,6,7,5,1,2,3] => [7,4,6,5,8,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,4,6,8,7,3,2] => [5,3,7,1,4,6,8,2] => [5,6,3,2,1,8,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[4,6,5,2,3,8,1,7] => [8,5,2,4,6,3,1,7] => [4,5,1,8,6,2,3,7] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[8,5,7,6,3,4,2,1] => [2,4,6,3,7,8,1,5] => [8,2,4,1,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,5,1,7,6,4] => [5,3,2,8,6,7,4,1] => [3,8,1,5,6,7,2,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,4,6,3,8,7] => [5,2,6,1,4,3,8,7] => [2,6,5,3,1,4,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[2,1,4,7,3,6,8,5] => [2,1,7,4,8,3,6,5] => [2,1,4,8,7,5,3,6] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[8,4,7,5,1,6,3,2] => [5,3,7,6,8,2,1,4] => [6,8,3,7,5,2,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,4,1,6,7,5,2] => [4,5,7,2,8,1,6,3] => [8,7,4,2,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,2,6,5,7,3] => [8,4,7,1,6,2,5,3] => [4,7,6,3,8,5,1,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[3,7,5,8,4,1,6,2] => [4,8,3,6,7,2,5,1] => [4,3,8,6,7,2,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,6,5,3,8,7,2,4] => [1,7,5,2,6,3,8,4] => [1,5,8,3,6,4,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[3,6,5,4,1,7,8,2] => [4,5,3,6,8,1,7,2] => [6,3,7,4,5,2,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[3,6,5,4,7,8,1,2] => [8,1,3,5,6,4,7,2] => [3,1,5,7,6,2,8,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[8,6,5,3,1,7,2,4] => [3,5,6,1,8,7,2,4] => [8,6,3,2,5,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,3,7,2,1,5] => [2,7,4,6,1,8,3,5] => [4,2,8,7,3,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,7,4,1,3,2,5,6] => [4,3,1,7,2,5,8,6] => [3,8,2,4,1,5,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,8,4,5,3,6,2] => [7,6,5,8,4,3,1,2] => [6,7,8,5,1,2,4,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[4,3,1,8,6,5,7,2] => [3,4,7,2,6,8,5,1] => [7,4,3,1,8,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,2,4,5,6,8,3] => [7,1,8,2,4,5,6,3] => [8,1,7,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,3,4,5,6,2] => [7,6,1,3,4,5,8,2] => [6,8,2,1,3,4,7,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,8,3,1,4,6,7,2] => [3,8,7,2,5,4,6,1] => [7,3,5,1,8,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,5,3,4,1,7,8,2] => [4,8,5,3,6,1,7,2] => [7,4,5,1,6,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,5,3,1,4,7,8,6] => [3,2,5,1,4,8,7,6] => [2,5,3,1,4,7,8,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[7,2,1,3,5,6,8,4] => [2,7,1,8,3,5,6,4] => [8,2,1,7,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,4,5,8,1,2] => [8,1,7,6,4,3,5,2] => [6,1,7,8,2,4,3,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[6,4,3,7,5,8,2,1] => [2,8,4,6,7,3,5,1] => [4,2,8,6,7,3,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,2,4,7,8,6,3,1] => [3,6,5,1,4,8,7,2] => [7,3,5,2,1,6,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,5,7,2,1,8,4,3] => [2,7,4,8,6,5,1,3] => [6,2,7,4,8,1,5,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,5,4,7,3,8,6,2] => [1,6,8,5,4,7,2,3] => [1,6,5,8,2,7,4,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,1,8,4,7,6,3,5] => [2,1,6,7,4,8,3,5] => [2,1,8,7,3,6,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,7,4,5,8,3] => [1,6,8,7,4,2,5,3] => [1,8,6,7,2,5,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,5,4,7,6,9,8,11,10] => [1,3,2,5,4,7,6,9,8,11,10] => [1,3,2,5,4,7,6,9,8,11,10] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[6,2,3,7,5,4,8,1] => [8,6,2,5,7,3,4,1] => [5,7,1,8,6,3,2,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[8,4,2,7,6,1,5,3] => [6,4,7,5,3,8,1,2] => [5,8,4,7,1,6,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,4,7,1,2,6,5,3] => [7,1,5,6,8,2,3,4] => [6,1,8,7,5,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,8,4,6,1,2,5,3] => [6,1,5,8,2,4,7,3] => [6,1,7,5,4,2,8,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[4,1,6,7,5,8,3,2] => [4,3,8,1,7,6,5,2] => [4,6,3,2,7,8,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[8,4,7,1,6,5,2,3] => [7,5,2,6,8,1,3,4] => [6,8,1,7,5,4,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,8,7,4,6,1,5,2] => [6,5,3,7,1,4,8,2] => [3,6,8,5,4,1,7,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[8,7,6,2,1,5,3,4] => [2,6,5,3,1,7,8,4] => [5,2,8,1,4,6,7,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,7,8,1,6,2,4,3] => [8,6,4,2,5,1,7,3] => [4,5,6,2,7,3,8,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[6,8,2,7,1,5,4,3] => [7,8,4,5,1,6,2,3] => [5,4,7,6,3,8,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[6,8,4,2,5,1,3,7] => [5,4,1,8,2,6,3,7] => [5,6,2,4,3,8,1,7] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[3,2,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [3,4,1,2,5,6,7,8,9] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[3,1,5,7,6,4,2,8] => [3,4,1,6,5,7,2,8] => [5,3,2,4,7,6,1,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[3,6,2,4,5,7,1,8] => [7,6,3,2,4,5,1,8] => [3,6,7,1,2,4,5,8] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[3,5,1,7,6,4,2,8] => [5,4,3,6,1,7,2,8] => [3,5,7,4,2,6,1,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[4,3,1,6,5,2,7,8] => [3,4,5,2,6,1,7,8] => [6,4,3,1,5,2,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[4,6,1,3,5,2,7,8] => [6,5,1,4,3,2,7,8] => [4,5,2,6,1,3,7,8] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[4,2,6,3,5,1,7,8] => [5,4,6,2,3,1,7,8] => [5,6,4,2,1,3,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[3,4,7,6,5,1,2,8] => [5,1,3,4,6,7,2,8] => [3,1,4,7,5,6,2,8] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[4,5,2,7,1,3,6,8] => [7,5,1,4,2,3,6,8] => [4,5,2,7,3,1,6,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[2,5,4,7,3,6,8,1] => [8,2,7,5,4,3,6,1] => [2,5,7,8,1,3,4,6] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[2,5,4,8,6,1,7,3] => [6,2,8,5,4,7,3,1] => [2,6,5,8,1,7,3,4] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,6,5,1,4,8,7,3] => [5,2,6,3,7,4,8,1] => [2,8,6,1,5,3,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,3,1,5,4,7,2] => [3,8,7,5,2,6,4,1] => [6,3,5,7,2,8,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[5,2,8,3,4,6,7,1] => [7,5,8,3,2,4,6,1] => [7,8,5,1,3,2,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,2,7,1,6,4,8,3] => [7,5,8,6,2,1,4,3] => [6,8,5,7,3,4,1,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,2,8,3,6,7,5,1] => [5,4,7,2,8,1,6,3] => [7,8,4,2,5,3,1,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,7,1,8,5,2,4,6] => [7,5,3,2,8,4,1,6] => [3,7,8,1,5,2,6,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[5,3,1,6,4,7,2,8] => [3,5,7,6,2,4,1,8] => [7,5,3,6,2,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,2,4,5,8,7,3,6] => [1,2,7,4,5,3,8,6] => [1,2,4,5,8,3,7,6] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,5,2,3,7,8,6,4] => [1,5,2,6,3,8,7,4] => [1,7,2,5,4,6,8,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,2,8,1,6,5,7,3] => [8,4,7,2,6,1,5,3] => [4,7,6,2,8,5,1,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,2,4,3,6,5,8,7,9] => [1,2,4,3,6,5,8,7,9] => [1,2,4,3,6,5,8,7,9] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[3,6,4,1,7,2,8,5] => [4,6,3,7,8,2,1,5] => [7,3,8,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,2,6,3,7,8,4,1] => [4,8,5,6,3,1,7,2] => [7,4,6,5,1,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,4,1,3,7,8,6,5] => [4,2,1,3,6,8,7,5] => [2,4,1,3,7,6,8,5] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[5,7,4,8,1,2,6,3] => [8,1,6,7,5,2,4,3] => [5,1,7,6,8,4,2,3] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[3,6,7,5,8,1,4,2] => [8,4,3,1,7,6,5,2] => [3,4,6,2,7,8,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[3,7,5,6,8,2,4,1] => [4,8,3,2,7,5,6,1] => [4,3,7,1,8,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,5,4,7,2,6,3,8] => [1,7,6,5,4,2,3,8] => [1,5,6,7,2,4,3,8] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,7,6,3,5,4,2,8] => [1,4,5,6,2,7,3,8] => [1,7,5,4,3,6,2,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,3,8,1,6,5,7,2] => [8,7,4,3,6,1,5,2] => [4,6,7,1,8,5,2,3] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[2,6,5,1,3,4,8,7] => [5,2,1,3,6,4,8,7] => [2,6,1,3,5,4,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[5,6,4,1,2,7,3,8] => [4,1,6,7,5,3,2,8] => [6,1,5,4,7,2,3,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[5,4,6,1,3,2,7,8] => [6,3,1,5,4,2,7,8] => [3,5,2,6,1,4,7,8] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[5,7,1,4,3,2,6,8] => [7,3,4,1,5,2,6,8] => [3,5,4,2,7,1,6,8] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[2,6,4,1,3,7,5,8] => [4,2,1,6,7,3,5,8] => [2,7,1,4,6,5,3,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,8,2,3,7,1,4,6] => [7,8,2,1,5,4,3,6] => [7,5,1,3,8,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,6,5,2,4,8,3] => [7,5,6,3,8,1,4,2] => [6,8,7,1,5,4,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,1,4,8,2,7,5,3] => [6,8,5,1,7,4,2,3] => [7,5,8,3,6,1,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,2,8,1,5,4,3,7] => [8,6,4,5,1,2,3,7] => [4,5,8,6,3,2,1,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,3,5,6,8,2,7,4] => [1,8,3,7,5,6,2,4] => [1,3,5,6,7,8,4,2] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[7,6,4,1,3,2,5,8] => [4,3,1,6,2,7,5,8] => [3,7,2,4,1,6,5,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,3,7,1,8,4,6] => [7,5,2,8,3,4,1,6] => [7,8,1,5,3,2,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,5,4,8,2,1,6,7] => [2,8,3,5,4,1,6,7] => [3,2,5,8,1,4,6,7] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[7,2,3,1,8,4,6,5] => [3,7,2,8,6,4,1,5] => [7,3,1,6,8,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,4,1,7,3,2,8,6] => [4,3,5,7,2,8,1,6] => [5,8,3,4,1,7,6,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,1,8,6,2] => [5,6,8,2,4,7,1,3] => [8,6,5,2,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,8,4,6,3,2] => [7,3,6,8,5,4,1,2] => [3,7,6,5,8,1,4,2] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[5,7,3,8,1,2,4,6] => [8,1,7,2,5,4,3,6] => [5,1,7,3,8,2,6,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[4,5,2,7,6,3,1,8] => [3,6,5,4,1,7,2,8] => [5,3,4,7,2,6,1,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[2,7,5,1,3,6,4,8] => [5,2,1,7,6,4,3,8] => [2,7,1,5,6,3,4,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[3,6,1,5,7,4,8,2] => [6,8,3,7,1,5,4,2] => [6,3,8,7,4,1,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,6,7,2,8,3,4,1] => [4,7,8,3,5,6,2,1] => [6,5,4,1,7,8,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[2,6,7,8,3,1,4,5] => [3,2,8,1,4,6,7,5] => [2,6,3,1,4,7,8,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,6,1,7,8,3,2,4] => [6,3,8,2,5,1,7,4] => [5,6,3,1,7,4,8,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[4,6,3,7,8,2,1,5] => [2,8,6,4,1,3,7,5] => [4,2,6,7,3,5,8,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[5,6,7,1,8,4,2,3] => [7,4,2,8,5,6,1,3] => [5,6,1,4,7,8,3,2] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,7,3,2,8,6,5,4] => [1,3,7,5,6,8,2,4] => [1,5,3,8,7,6,4,2] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,8,1,3,4,7,5,2] => [8,5,1,3,7,6,4,2] => [5,7,2,1,6,8,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[2,5,8,1,7,6,3,4] => [8,2,6,3,5,7,1,4] => [2,5,6,1,8,7,4,3] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[2,4,8,7,6,3,1,5] => [3,2,6,4,1,7,8,5] => [2,4,3,8,1,6,7,5] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[5,8,2,7,6,3,1,4] => [3,6,7,1,5,8,2,4] => [7,5,3,2,8,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,8,4,7,6,3,1,5] => [3,2,6,7,4,8,1,5] => [2,8,3,7,1,6,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,4,7,6,3,5] => [1,8,6,2,3,7,4,5] => [1,6,8,3,4,7,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,5,8,7,1,6,2,3] => [7,6,2,4,5,1,8,3] => [4,5,1,6,8,3,7,2] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,4,7,3,8,5,6,2] => [1,6,7,4,8,5,3,2] => [1,7,4,8,6,2,3,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[3,4,2,8,1,7,6,5] => [8,4,3,2,6,7,1,5] => [3,4,6,1,8,7,5,2] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[2,3,8,5,1,7,6,4] => [5,2,3,8,6,7,4,1] => [2,3,8,5,6,7,1,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,1,7,2,8,6,5,4] => [3,7,1,5,6,8,2,4] => [5,3,2,8,7,6,4,1] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,6,8,1,4,3,7,5] => [8,2,4,1,7,6,3,5] => [2,4,6,3,7,8,5,1] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[4,1,8,2,6,7,3,5] => [4,8,7,1,3,2,6,5] => [8,4,7,3,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,6,3,2,5,4] => [8,3,6,5,2,7,1,4] => [3,6,5,8,2,7,4,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[7,4,6,8,1,2,5,3] => [8,1,5,7,2,4,6,3] => [5,1,8,7,4,2,3,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,7,5,3,2,8,1,4] => [8,3,5,1,7,6,2,4] => [3,7,5,2,6,8,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[6,7,4,5,3,1,8,2] => [3,5,8,7,4,6,2,1] => [7,5,3,6,1,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,5,6,1,8,2,3,4] => [6,8,2,3,7,5,1,4] => [8,6,1,2,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,5,1,2,8,3] => [5,1,6,8,7,2,3,4] => [8,1,7,5,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,8,3,1,7,2] => [3,8,7,5,6,4,2,1] => [6,3,5,8,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,7,5,3,2,8,4,1] => [4,3,8,5,7,6,1,2] => [4,7,3,5,6,8,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,2,5,3,8,1,4,7] => [8,6,5,1,2,3,4,7] => [5,6,8,3,4,2,1,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,2,5,3,7,1,4,8] => [7,6,5,1,2,3,4,8] => [5,6,7,3,4,2,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[7,6,8,1,4,2,5,3] => [8,4,5,1,2,7,6,3] => [4,7,5,3,2,8,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,3,5,1,8,7,4,2] => [5,4,7,6,2,1,8,3] => [6,8,4,5,2,3,7,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,8,5,3,2,7,4,1] => [4,3,7,5,8,6,1,2] => [4,7,3,6,5,8,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,3,4,7,2,8,1,5] => [8,7,6,3,1,4,2,5] => [6,7,8,1,4,3,5,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,3,4,8,2,7,1,5] => [7,8,6,3,1,4,2,5] => [7,6,8,1,4,3,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,5,4,8,2,3,7] => [6,8,2,5,1,4,3,7] => [6,5,1,8,4,2,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,8,5,4,2,7,6,1] => [6,4,3,5,7,8,1,2] => [3,4,8,7,5,6,2,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,5,3,1,4,8,2] => [3,5,6,2,7,8,4,1] => [8,7,3,1,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,4,2,5,7,3] => [1,4,8,7,3,6,5,2] => [1,7,4,6,2,8,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,5,8,1,3,4,2,6] => [8,4,1,3,7,2,5,6] => [4,7,2,1,8,5,6,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,5,2,1,3,6,8,4] => [2,5,1,7,8,4,6,3] => [8,2,1,7,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,4,8,3,7,2] => [6,7,8,1,5,4,3,2] => [7,6,5,3,8,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,6,3,4,8,5,7,2] => [1,7,6,3,8,4,5,2] => [1,7,8,2,6,4,3,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,6,5,2,1,3,8,4] => [2,5,1,6,7,8,3,4] => [8,2,1,7,5,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,8,4,1,2,5] => [4,1,8,6,3,7,2,5] => [8,1,4,6,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,2,6,5,4,8] => [7,3,1,5,6,2,4,8] => [3,5,2,7,6,4,1,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,3,6,2,7,5,8,4] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,2,7,6,3,8] => [1,4,5,6,3,7,2,8] => [1,7,5,4,2,6,3,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,5,2,8,6,4,7,3] => [1,5,7,6,2,8,4,3] => [1,8,5,7,4,6,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,4,2,6,5,7,3] => [1,4,8,7,6,3,5,2] => [1,7,4,6,8,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,6,5,2,7,4,8,3] => [1,5,6,8,7,3,2,4] => [1,8,7,5,6,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,6,4,2,8,3] => [1,4,6,8,7,5,3,2] => [1,8,6,4,7,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,6,4,2,7,3] => [1,4,6,7,8,5,3,2] => [1,8,7,4,6,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,8,4,2,5,3] => [7,4,8,5,3,6,1,2] => [5,7,4,6,1,8,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[4,1,7,8,5,2,6,3] => [4,5,8,1,6,3,7,2] => [7,5,4,3,6,1,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,1,6,8,5,2,7,3] => [4,5,8,1,7,6,3,2] => [7,5,4,3,6,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,1,5,2,3,7,4] => [8,5,2,7,1,6,3,4] => [5,7,1,6,4,8,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,5,4,2,8,6,7,3] => [1,4,5,7,3,8,6,2] => [1,8,5,4,2,7,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,5,6,2,7,4] => [1,6,3,7,8,5,2,4] => [1,3,8,7,6,2,5,4] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,8,5,4,6,2,7,3] => [1,6,7,5,8,4,2,3] => [1,7,6,8,5,2,4,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[6,4,5,1,7,2,8,3] => [5,7,8,6,4,1,2,3] => [8,6,5,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,3,7,6,2,5] => [8,6,1,4,2,7,3,5] => [4,6,2,8,3,7,5,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[5,7,8,1,2,4,3,6] => [8,1,4,2,5,3,7,6] => [4,1,5,3,7,2,8,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,7,6,8,3,5,4,2] => [1,4,5,8,2,7,6,3] => [1,7,5,4,3,8,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,7,6,4,2,1,3,8] => [2,4,1,6,5,7,3,8] => [5,2,1,4,7,6,3,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[4,6,1,8,3,5,2,7] => [6,5,8,4,3,1,2,7] => [5,6,4,8,1,3,2,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[3,2,8,6,4,5,1,7] => [5,3,2,6,4,8,1,7] => [3,8,1,5,2,6,4,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,8,7,4,3,5,2] => [1,5,4,7,3,6,8,2] => [1,5,6,4,2,8,7,3] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[7,3,4,2,8,1,5,6] => [8,4,7,3,1,5,2,6] => [4,8,7,1,3,2,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,3,5,8,2,6] => [7,8,4,1,3,2,5,6] => [7,4,8,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,6,7,3,5,1,2] => [5,1,7,8,3,4,6,2] => [8,1,7,5,3,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,7,2,4,3,1] => [3,4,7,1,6,8,5,2] => [7,4,3,2,8,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,4,6,1,8,5,3,2] => [6,3,5,8,7,2,1,4] => [3,8,7,5,6,2,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,8,1,5,2] => [8,5,6,7,1,4,3,2] => [5,8,7,6,4,1,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,4,8,1,6,3,2,5] => [8,3,6,7,2,1,4,5] => [3,8,6,7,2,5,4,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,5,8,3,7] => [4,6,8,2,1,5,3,7] => [8,6,4,2,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,2,5,7,1,3] => [7,8,1,4,2,6,5,3] => [6,4,2,7,3,8,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,4,8,2,5,7,1,3] => [7,8,1,6,2,4,5,3] => [7,6,2,8,4,3,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,2,4,5,8,3,7,1] => [7,6,8,2,4,5,3,1] => [7,8,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,6,8,2,5,7,3,1] => [3,7,8,4,1,6,5,2] => [6,4,3,7,2,8,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[8,2,6,7,4,1,3,5] => [4,7,2,8,3,1,6,5] => [8,7,1,4,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,4,1,7,3,5] => [4,6,8,3,2,7,1,5] => [8,6,4,1,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,6,1,5,8,4] => [6,7,3,8,1,2,5,4] => [7,3,8,6,4,5,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,5,7,2,8,1,4] => [8,7,3,1,6,5,2,4] => [3,6,7,2,8,1,5,4] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[7,6,2,1,8,4,5,3] => [2,6,5,7,1,8,4,3] => [7,2,8,5,4,6,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,1,5,6,4,8,2,7] => [3,8,1,6,5,4,2,7] => [5,3,2,6,8,1,4,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[5,4,8,2,6,7,1,3] => [7,8,1,5,4,2,6,3] => [7,5,2,8,1,4,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,4,8,5,6,7,3,1] => [3,2,7,4,8,5,6,1] => [2,4,3,8,7,1,5,6] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[8,5,1,3,6,7,4,2] => [5,4,2,8,7,3,6,1] => [5,8,1,4,7,2,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,1,5,4,6,7,2,8] => [3,7,1,5,4,6,2,8] => [5,3,2,6,1,7,4,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[5,2,3,7,6,1,4,8] => [6,5,2,1,3,7,4,8] => [5,7,1,3,4,6,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[6,2,7,3,5,1,4,8] => [5,6,7,1,3,2,4,8] => [7,6,5,3,2,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,5,2,3,1,7,8,4] => [3,5,2,6,8,4,7,1] => [7,3,1,6,5,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,5,2,1,4,6,8,3] => [2,5,7,3,8,4,6,1] => [8,2,7,1,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,3,1,6,4,7] => [3,5,2,8,6,4,1,7] => [8,3,1,5,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,3,1,7,4,5] => [3,6,8,7,4,1,2,5] => [8,6,3,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,4,2,7,5,8] => [1,4,6,3,7,2,5,8] => [1,7,4,2,6,5,3,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,2,4,5,6,8,3] => [1,7,8,2,4,5,6,3] => [1,8,7,3,2,4,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,8,1,4,6,3,5] => [8,7,6,1,3,4,2,5] => [6,7,8,3,2,4,5,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[2,7,8,1,5,6,3,4] => [8,2,6,3,1,5,7,4] => [2,6,7,1,4,3,8,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,8,2,3,1,5,4,7] => [3,8,2,5,1,6,4,7] => [5,3,1,6,4,8,2,7] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[4,2,7,1,5,6,8,3] => [7,4,8,2,1,5,6,3] => [7,8,4,2,3,1,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,2,3,8,1,7,5,6] => [8,4,2,3,7,5,1,6] => [4,7,1,2,8,3,6,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[4,2,1,5,3,7,6,8] => [2,4,5,1,3,7,6,8] => [5,2,4,3,1,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[5,1,3,8,4,6,7,2] => [5,7,1,8,3,4,6,2] => [8,7,2,5,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,8,1,4,5,6] => [8,7,3,1,4,5,2,6] => [3,7,8,2,1,4,6,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[2,6,7,3,4,5,1,8] => [5,2,7,3,4,6,1,8] => [2,6,5,1,3,7,4,8] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[6,2,7,3,4,5,1,8] => [5,6,7,3,4,2,1,8] => [7,6,5,1,2,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,8,4,5,2,1,6,7] => [2,5,3,8,4,1,6,7] => [3,2,8,5,1,4,6,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,1,10,3,4,5,6,7,8,9] => [2,1,10,3,4,5,6,7,8,9] => [2,1,10,3,4,5,6,7,8,9] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,10,5,6,7,8,9] => [4,1,2,3,10,5,6,7,8,9] => [4,1,2,3,10,5,6,7,8,9] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,2,3,4,5,10,7,8,9] => [6,1,2,3,4,5,10,7,8,9] => [6,1,2,3,4,5,10,7,8,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[4,5,7,2,8,3,6,1] => [6,7,8,4,5,3,2,1] => [6,5,4,7,8,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[9,4,7,2,5,8,3,6,1] => [6,7,8,9,2,3,4,5,1] => [9,8,7,6,3,4,2,1,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,3,7,2,9,4,5,6,1] => [6,7,8,9,4,5,3,2,1] => [9,8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[4,5,6,9,3,8,2,7,1] => [7,8,9,4,5,6,2,3,1] => [6,5,4,7,8,9,2,1,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[8,3,9,4,7,2,10,5,6,1] => [6,7,8,9,10,5,4,3,2,1] => [10,9,8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,3,8,2,10,4,5,6,7,1] => [7,8,9,10,4,5,6,3,2,1] => [10,9,8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,2,4,3,1,7,8,5] => [3,4,6,1,8,2,7,5] => [7,4,3,2,6,5,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,6,5,7,2,8,3,4] => [1,7,8,3,6,5,2,4] => [1,7,6,2,8,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,5,6,8,1,2,4,3] => [8,1,4,2,7,5,6,3] => [4,1,7,3,8,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[7,5,6,2,8,1,4,3] => [8,6,4,1,7,5,2,3] => [4,6,8,3,7,1,5,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,5,4,6,2,8,7,3] => [1,6,7,5,4,2,8,3] => [1,6,5,8,2,4,7,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,5,4,6,2,8,3,7] => [1,6,8,5,4,2,3,7] => [1,6,5,8,2,4,3,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,2,1,5,8,4,7,3] => [2,6,7,8,1,5,4,3] => [8,2,7,6,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,8,4,1,3,2] => [4,3,1,8,7,5,6,2] => [3,7,2,4,8,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,1,8,6,2,3,7] => [4,5,1,6,2,8,3,7] => [8,5,2,4,3,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,4,1,2,6] => [4,1,7,5,8,3,2,6] => [8,1,4,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,7,1,3,4] => [7,6,1,3,8,5,2,4] => [7,8,2,1,6,3,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,4,7,2,6,5,1,3] => [5,6,2,7,8,4,1,3] => [8,7,1,6,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,3,5,8,1,4] => [8,6,2,1,3,7,5,4] => [6,8,1,3,4,7,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,5,3,7,8,1,6,2] => [8,6,5,4,3,1,7,2] => [4,5,6,7,1,3,8,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[8,3,4,1,5,7,6,2] => [4,6,7,2,1,8,5,3] => [8,7,4,2,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,1,4,3,7,8] => [6,5,4,1,2,3,7,8] => [4,5,6,3,2,1,7,8] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[3,5,2,8,6,7,4,1] => [4,7,3,5,1,8,6,2] => [4,3,8,5,2,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,4,8,2,3,5,6,1] => [6,8,2,7,3,5,4,1] => [8,6,1,7,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,8,7,1,4,3] => [7,6,4,1,5,2,8,3] => [4,5,6,3,8,2,7,1] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[4,6,3,5,2,7,8,1] => [8,5,6,4,3,2,7,1] => [4,6,5,7,1,2,8,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[4,3,6,1,5,7,8,2] => [6,8,4,3,1,5,7,2] => [6,4,7,1,3,2,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[5,3,1,4,6,7,8,2] => [3,5,8,2,4,6,7,1] => [6,5,3,1,2,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[4,2,6,1,5,7,3,8] => [6,4,7,2,1,5,3,8] => [6,7,4,2,3,1,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[2,5,4,1,3,6,7,8] => [4,2,1,5,3,6,7,8] => [2,5,1,4,3,6,7,8] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[5,4,1,2,6,7,3,8] => [4,1,5,7,3,6,2,8] => [6,1,5,4,2,7,3,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[6,7,4,3,1,5,8,2] => [3,4,7,8,1,6,5,2] => [7,6,3,4,2,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,1,6,7,8,4,5,2] => [3,5,1,8,4,6,7,2] => [6,3,2,5,1,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[7,4,5,6,2,1,8,3] => [2,6,8,7,4,5,1,3] => [8,2,6,7,1,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,6,2,1,8,4] => [2,6,3,8,7,5,1,4] => [3,2,8,6,7,1,5,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[5,7,8,4,2,3,1,6] => [3,4,2,8,5,1,7,6] => [5,3,1,4,7,2,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[6,3,1,4,5,2,7,8] => [3,6,5,2,4,1,7,8] => [6,3,5,1,2,4,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,4,1,2,7,8,3,5] => [4,1,6,8,2,3,7,5] => [7,1,6,4,3,5,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,4,1,3,5,2,7,8] => [4,6,2,5,3,1,7,8] => [6,4,1,5,2,3,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[6,2,8,3,4,7,1,5] => [7,6,8,3,1,2,4,5] => [7,8,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,4,8,2,5,1,6] => [5,8,7,3,2,1,4,6] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,5,4,2,3,7] => [8,4,2,5,1,6,3,7] => [4,6,1,5,3,8,2,7] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[3,1,4,5,8,2,7,6] => [3,8,1,4,5,7,2,6] => [4,3,2,5,7,8,6,1] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[5,1,3,7,4,6,2,8] => [5,6,1,7,3,4,2,8] => [7,6,2,5,3,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,5,4,7,2,8,3,1] => [3,8,7,5,6,4,1,2] => [6,3,5,8,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,2,4,6,5,8,1,7] => [8,3,2,4,6,5,1,7] => [3,4,1,6,8,2,5,7] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[7,5,2,1,6,3,4,8] => [2,5,7,1,6,3,4,8] => [7,2,5,3,6,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,2,8,1,5,6,4,3] => [8,7,4,6,1,5,2,3] => [4,6,8,7,3,1,5,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[8,3,6,4,1,5,7,2] => [4,6,7,8,2,1,5,3] => [8,7,6,4,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,1,4,8,2,3] => [6,8,2,1,7,5,4,3] => [8,6,1,3,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,6,3,8,4,1] => [4,8,7,6,5,3,1,2] => [7,4,5,6,8,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,4,2,1,8,3,7] => [2,4,6,8,5,3,1,7] => [6,2,5,4,8,1,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,8,1,3,2,7,5,4] => [8,3,1,5,7,6,2,4] => [3,5,2,7,6,8,4,1] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[7,2,4,3,8,1,5,6] => [8,7,4,2,1,5,3,6] => [4,7,8,2,3,1,6,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[2,5,4,6,1,3,8,7] => [6,2,1,5,4,3,8,7] => [2,5,1,6,3,4,8,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[3,7,5,1,6,4,2,8] => [5,4,3,7,6,2,1,8] => [3,5,7,4,6,1,2,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[5,2,7,4,8,6,3,1] => [3,6,5,8,1,7,2,4] => [8,3,6,5,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,4,3,5,7,8] => [6,1,4,2,3,5,7,8] => [4,1,6,3,2,5,7,8] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[8,5,6,1,4,2,7,3] => [6,4,7,1,8,5,2,3] => [7,8,4,3,6,1,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,8,6,1,4,2,7,3] => [6,4,8,3,5,7,2,1] => [5,6,4,1,8,7,2,3] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[6,5,8,2,7,3,4,1] => [4,8,7,3,6,5,2,1] => [7,4,6,1,8,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,7,6,8,4,3,2,5] => [1,3,4,8,2,7,6,5] => [1,7,3,4,2,8,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,4,5,7,1,3,2,8] => [7,3,1,6,4,5,2,8] => [3,6,2,7,1,4,5,8] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[6,1,2,4,3,5,8,7] => [6,1,4,2,3,5,8,7] => [4,1,6,3,2,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[7,4,5,8,2,3,6,1] => [6,8,2,7,4,3,5,1] => [8,6,1,7,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,3,8,7,2,4] => [1,7,6,2,5,3,8,4] => [1,5,6,3,8,4,7,2] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[5,6,8,4,7,1,3,2] => [7,3,1,8,5,6,4,2] => [3,6,2,5,7,8,1,4] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[6,3,5,2,7,1,4,8] => [7,5,6,1,3,2,4,8] => [5,7,6,3,2,4,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[8,5,2,6,7,1,4,3] => [7,5,4,1,8,2,6,3] => [4,7,8,3,5,2,1,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[3,8,6,4,7,1,2,5] => [7,1,3,6,2,8,4,5] => [3,1,7,8,4,6,5,2] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,8,7,5,4,3,2,6] => [1,3,4,5,7,2,8,6] => [1,8,3,4,5,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,4,7,1,3,2,5] => [7,3,1,6,2,8,4,5] => [3,7,2,8,4,6,5,1] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[7,3,1,6,5,2,4,8] => [3,7,5,1,6,2,4,8] => [7,3,5,2,6,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,1,5,8,2,7,4,3] => [6,8,4,7,1,5,2,3] => [7,4,8,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,1,8,5,4,7,2] => [3,6,7,5,8,2,4,1] => [7,6,3,8,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,1,3,8,7,4,5,2] => [6,5,1,7,4,3,8,2] => [6,8,2,5,1,3,7,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,5,6,1,3,7,4] => [6,8,1,7,2,5,3,4] => [8,6,2,7,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,6,5,1,7,3] => [5,2,6,7,8,1,3,4] => [2,8,7,6,5,4,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,6,5,2,8] => [4,7,2,5,6,3,1,8] => [7,4,1,5,6,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,7,2,8,1,3,6,4] => [8,7,1,6,5,3,2,4] => [5,6,2,7,8,3,4,1] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[3,1,4,8,2,7,6,5] => [3,8,1,4,6,7,2,5] => [4,3,2,6,8,7,5,1] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[5,4,1,2,6,3,8,7] => [4,1,5,6,3,2,8,7] => [6,1,5,4,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,3,1,4,8,7,2,5] => [3,6,7,2,1,4,8,5] => [8,6,3,1,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,4,7,3,2,8] => [5,3,6,2,7,4,1,8] => [6,7,3,1,5,2,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[8,4,5,1,7,3,2,6] => [5,3,7,8,4,2,1,6] => [7,8,3,5,1,2,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,7,8,4,1,3,6,5] => [4,2,1,8,6,3,7,5] => [2,6,1,4,7,5,8,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[2,4,6,5,7,8,1,3] => [8,2,1,4,6,5,7,3] => [2,4,1,6,7,3,8,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[2,4,6,3,7,8,1,5] => [8,2,6,4,1,3,7,5] => [2,4,6,7,3,5,8,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[2,3,4,6,8,5,1,7] => [5,2,3,4,8,6,1,7] => [2,3,4,6,5,8,1,7] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,6,3,5,8,4,7,2] => [1,7,6,8,3,5,4,2] => [1,7,8,6,3,2,4,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,2,8,3,4,1,6,7] => [4,5,8,3,2,1,6,7] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,5,4,3,2,7] => [6,3,4,5,8,1,2,7] => [3,8,4,6,5,2,1,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,1,8,2,7] => [4,6,8,5,1,2,3,7] => [8,5,4,6,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,7,6,8,4,3] => [1,5,4,8,2,7,6,3] => [1,5,7,4,3,8,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[6,5,8,2,7,1,4,3] => [7,8,4,1,6,5,2,3] => [6,4,7,3,8,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,5,8,2,1,6,4,3] => [2,8,4,6,7,1,5,3] => [4,2,8,6,7,5,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,2,1,6,5,8,4,7] => [2,3,1,8,6,5,4,7] => [3,2,1,6,8,4,5,7] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[2,6,4,8,5,7,3,1] => [3,2,7,6,8,4,5,1] => [2,7,3,8,6,4,1,5] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,8,7,1,3,2,6,5] => [7,3,1,4,6,2,8,5] => [3,4,2,6,8,5,7,1] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[5,8,7,4,6,1,3,2] => [6,3,1,7,5,4,8,2] => [3,6,2,5,8,1,7,4] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[3,4,1,8,7,6,2,5] => [4,6,3,1,2,7,8,5] => [4,3,8,2,1,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[2,6,5,8,3,1,4,7] => [3,2,8,1,6,5,4,7] => [2,6,3,1,8,4,5,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[6,7,8,2,4,5,3,1] => [3,5,8,1,4,6,7,2] => [6,5,3,2,1,7,8,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[8,3,6,4,2,7,1,5] => [7,4,6,8,1,2,3,5] => [6,8,7,4,3,5,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,6,4,7,8,5,1,3] => [5,2,1,8,6,3,7,4] => [2,7,1,5,6,4,8,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,3,7,6,1,8,2] => [6,7,4,5,3,8,2,1] => [5,4,8,7,1,6,2,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,6,3,7,1,4,2,5] => [7,4,6,1,2,8,3,5] => [4,8,7,3,2,6,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,8,7,6,4,5] => [3,1,2,6,4,7,8,5] => [3,1,2,8,4,6,7,5] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[8,5,4,1,2,3,7,6] => [4,1,2,5,8,7,3,6] => [7,1,2,4,5,8,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,3,2,1,6,4,7,5] => [2,3,8,6,7,1,4,5] => [6,2,3,8,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,3,8,4,1,7,5,6] => [4,2,3,8,7,5,1,6] => [2,3,7,4,8,1,6,5] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[4,6,1,3,2,7,8,5] => [6,3,1,4,8,2,7,5] => [3,4,2,7,6,5,8,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[6,7,2,5,8,4,1,3] => [4,8,2,7,1,6,5,3] => [7,4,1,6,3,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,4,6,7,1,5,8,2] => [7,8,3,4,1,6,5,2] => [4,3,6,7,2,8,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[3,4,5,7,8,1,6,2] => [8,6,3,4,5,1,7,2] => [3,4,5,6,7,2,8,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,4,3,5,8,7,2,6] => [1,7,4,3,5,2,8,6] => [1,4,5,2,8,3,7,6] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[6,2,3,1,7,4,5,8] => [3,6,2,7,4,1,5,8] => [7,3,1,6,2,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,2,3,8,1,6,4,5] => [8,7,2,6,4,1,3,5] => [6,7,1,8,2,5,4,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,2,7,4,6,3,1,5] => [3,6,8,7,2,4,1,5] => [8,6,3,7,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,2,7,8,4,3] => [1,6,4,8,5,2,7,3] => [1,5,6,4,7,3,8,2] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[5,1,8,4,3,7,6,2] => [5,6,4,7,1,8,2,3] => [7,5,8,4,3,6,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,2,1,3,6,7,5,4] => [2,8,1,5,7,3,6,4] => [5,2,1,8,7,4,3,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,7,8,6,5,3,1,4] => [3,2,5,1,6,8,7,4] => [2,7,3,1,5,6,8,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,5,7,1,2,4,8,3] => [7,1,8,2,6,5,4,3] => [7,1,6,3,8,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,6,2,5,3,4,1,7] => [4,6,5,3,2,8,1,7] => [8,4,5,1,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,6,7,8,1,3] => [8,5,1,2,4,6,7,3] => [5,6,2,3,1,7,8,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[2,3,7,5,8,1,4,6] => [8,2,3,1,7,4,5,6] => [2,3,7,1,8,5,6,4] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[7,2,5,8,1,4,6,3] => [8,7,6,1,2,4,5,3] => [6,7,8,3,4,2,1,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[4,7,5,8,1,2,6,3] => [8,1,6,4,7,2,5,3] => [4,1,6,8,7,5,2,3] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[2,5,4,7,3,8,1,6] => [8,2,7,5,4,1,3,6] => [2,5,7,8,1,4,6,3] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[4,3,5,6,8,1,2,7] => [8,1,4,3,5,6,2,7] => [4,1,5,2,6,8,3,7] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[4,8,2,7,6,3,1,5] => [3,6,7,4,1,8,2,5] => [7,4,3,8,2,6,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,4,8,2,7,5,6,3] => [1,8,6,4,7,5,2,3] => [1,4,6,8,7,2,5,3] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[2,4,8,1,7,5,3,6] => [8,2,5,4,7,3,1,6] => [2,4,5,8,7,1,6,3] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[2,4,1,8,3,7,6,5] => [4,2,8,1,6,7,3,5] => [2,6,4,3,8,7,5,1] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,5,4,8,7,6,2,3] => [1,6,2,5,4,7,8,3] => [1,5,2,8,3,6,7,4] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,3,8,5,1,6,2,7] => [5,8,4,3,6,2,1,7] => [5,4,8,1,6,2,3,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,4,7,8,2,5,3,6] => [1,8,5,4,2,3,7,6] => [1,4,5,7,3,2,8,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[3,8,4,2,7,6,1,5] => [6,4,3,7,2,8,1,5] => [3,7,8,4,1,6,5,2] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,6,8,4,2,7,1,5] => [7,4,3,8,1,6,2,5] => [3,6,7,4,2,8,5,1] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,4,7,6,3,8,2,5] => [1,8,6,4,2,7,3,5] => [1,4,6,8,3,7,5,2] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[3,6,5,1,7,2,8,4] => [5,6,3,7,8,2,4,1] => [7,3,8,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,4,1,6,2,8,5,3] => [4,7,6,5,8,2,3,1] => [8,4,6,7,5,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,8,2,4,7,5] => [1,8,3,2,7,6,4,5] => [1,3,6,2,7,8,5,4] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[6,1,8,5,4,2,7,3] => [6,4,5,8,7,1,2,3] => [5,8,7,4,6,3,2,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,4,2,7,1,6,3] => [7,4,5,8,6,1,2,3] => [5,8,6,4,7,3,2,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,6,1,8,5,2,7,3] => [6,5,8,4,7,1,3,2] => [5,7,4,8,6,3,1,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[4,8,5,1,6,2,7,3] => [5,8,6,4,7,2,3,1] => [7,4,5,8,6,2,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,7,3,1,6,2,8,4] => [3,7,6,8,5,2,1,4] => [7,3,6,5,8,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,5,8,2,6,3,7,4] => [1,8,6,7,5,2,3,4] => [1,5,7,6,8,4,3,2] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[5,6,3,1,7,2,8,4] => [3,6,7,8,5,2,1,4] => [7,6,3,5,8,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,7,2,8,5,1,6,3] => [5,8,7,4,6,2,3,1] => [6,4,5,8,7,2,1,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,6,1,7,2,8,5,3] => [6,7,5,4,8,1,2,3] => [6,4,7,8,5,3,2,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[2,4,3,8,7,5,1,6] => [5,2,4,3,7,1,8,6] => [2,4,8,1,5,3,7,6] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,5,4,1,8,6,2,7] => [4,5,3,6,2,8,1,7] => [5,3,8,4,1,6,2,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,2,4,7,5,1,8,6] => [5,3,2,4,7,8,1,6] => [3,4,1,8,5,7,6,2] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[7,8,6,2,1,4,5,3] => [2,6,5,1,4,8,7,3] => [5,2,7,3,1,6,8,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[2,1,3,7,5,8,6,4] => [2,1,3,6,8,7,4,5] => [2,1,3,8,6,7,5,4] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[6,7,5,2,4,8,1,3] => [8,5,1,2,7,6,4,3] => [5,7,2,3,6,8,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,6,5,7,4,8,3,9,2] => [1,9,8,7,6,5,4,3,2] => [1,6,7,8,9,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,6,7,5,8,4,9,3,10,2] => [1,10,9,8,7,6,5,4,3,2] => [1,6,7,8,9,10,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[6,5,7,4,8,3,9,2,10,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => [6,7,8,9,10,1,2,3,4,5,11] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,6,4,7,3,8,5,2] => [1,5,8,7,6,2,4,3] => [1,8,5,6,7,4,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,8,5,9,4,10,3,11,2] => [1,11,10,9,8,7,6,5,4,3,2] => [1,7,8,9,10,11,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[3,4,5,6,7,8,2,1,9] => [2,8,3,4,5,6,7,1,9] => [3,2,4,5,6,7,8,1,9] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[4,8,1,6,3,7,2,5] => [8,7,6,4,2,1,3,5] => [4,6,7,8,2,5,3,1] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[6,4,2,5,8,7,1,3] => [7,4,1,6,2,5,8,3] => [4,8,2,6,3,1,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,5,4,1,6,3,7,2] => [4,5,8,7,6,3,2,1] => [8,6,4,5,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,6,4,5,1,2] => [5,1,3,6,4,8,7,2] => [3,1,7,5,2,6,8,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[5,2,7,3,4,8,6,1] => [6,5,8,1,2,7,4,3] => [6,8,5,3,4,7,1,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,7,3,2,4,8,6,1] => [6,3,8,1,5,7,4,2] => [5,6,3,2,8,7,1,4] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[2,6,8,5,4,3,1,7] => [3,2,4,5,8,6,1,7] => [2,6,3,4,5,8,1,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[8,3,1,4,2,5,6,7] => [3,8,4,2,1,5,6,7] => [8,3,4,1,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,8,5,3,1,7] => [3,2,5,8,6,1,4,7] => [2,8,3,5,6,4,1,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,1,4,6,5,2,7] => [8,5,3,1,6,4,2,7] => [3,5,8,2,6,1,4,7] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,8,5,2,1,6,4,7] => [2,5,3,8,6,4,1,7] => [3,2,8,5,6,1,4,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,4,7,8,6,3,5,2] => [1,5,6,4,3,8,7,2] => [1,5,4,7,2,6,8,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[8,3,6,1,2,7,4,5] => [6,1,8,7,4,3,2,5] => [8,1,6,7,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,6,1,8,5,2] => [6,5,4,3,7,8,2,1] => [4,7,8,1,5,6,2,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[6,8,1,5,4,7,2,3] => [8,7,2,5,1,6,4,3] => [5,6,1,7,4,8,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[7,6,2,4,8,5,1,3] => [5,8,2,1,6,7,4,3] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,2,1,4,3,6] => [2,5,4,1,7,3,8,6] => [4,2,8,3,5,1,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,3,6,8,7,4,1,2] => [4,1,7,5,2,6,8,3] => [6,1,4,5,3,8,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[7,8,4,6,2,3,5,1] => [5,6,2,8,3,4,7,1] => [7,6,1,5,3,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,3,4,5,2,1,8,6] => [2,5,7,3,4,8,1,6] => [8,2,5,1,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,2,6,3,8,1] => [8,5,7,4,6,3,2,1] => [4,6,5,8,7,1,2,3] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,5,6,2,8,1,4,7] => [8,6,3,1,5,2,4,7] => [3,5,6,2,8,4,1,7] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[7,1,5,6,8,4,2,3] => [7,4,2,8,1,5,6,3] => [7,8,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,2,5,6,4,7,3] => [8,1,7,6,2,5,4,3] => [6,1,7,8,4,2,3,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[6,1,8,2,4,3,5,7] => [6,8,4,2,3,1,5,7] => [6,4,8,2,1,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,6,8,2,5,3,4,7] => [1,8,5,3,2,6,4,7] => [1,5,6,2,4,8,3,7] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[8,5,2,7,3,6,4,1] => [4,6,5,8,7,3,1,2] => [8,5,7,4,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,2,4,5,1,3] => [5,6,1,2,4,7,8,3] => [8,5,2,3,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,1,7,4,6,2] => [8,6,5,7,3,4,1,2] => [5,7,8,6,2,1,4,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,7,6,2,4,5,3,1] => [3,5,6,1,4,7,8,2] => [8,5,3,2,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,5,4,2,6,3] => [1,4,5,7,6,2,8,3] => [1,8,5,4,6,3,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,2,6,5,4,7,3] => [8,1,7,5,6,2,4,3] => [5,1,6,8,7,4,2,3] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[2,5,6,4,3,8,1,7] => [8,2,4,6,5,3,1,7] => [2,4,6,5,8,1,3,7] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,2,5,6,4,8,3,7] => [1,2,8,6,5,4,3,7] => [1,2,5,6,8,3,4,7] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[4,1,8,5,2,7,3,6] => [4,5,8,1,7,2,3,6] => [8,5,4,3,7,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,1,8,2,5,7] => [3,6,8,4,1,2,5,7] => [6,4,3,8,2,5,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,2,1,7,4,8,6,5] => [2,3,1,7,6,8,4,5] => [3,2,1,7,8,6,5,4] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[4,6,3,8,5,2,7,1] => [7,5,8,4,6,2,3,1] => [5,6,4,8,7,2,1,3] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[4,1,3,8,5,6,2,7] => [4,6,1,3,8,5,2,7] => [8,4,2,1,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,4,2,1,5,7] => [2,4,8,3,1,6,5,7] => [6,2,4,1,3,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,7,2,4,5,6,1,8] => [6,7,3,2,4,5,1,8] => [6,3,7,1,2,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[3,2,8,1,5,7,4,6] => [8,3,2,7,1,4,5,6] => [3,7,1,8,4,5,6,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[6,4,1,7,8,3,5,2] => [4,6,5,8,1,2,7,3] => [7,5,6,4,3,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,7,6,2,1,8,3,4] => [2,6,7,1,5,8,3,4] => [7,2,5,3,8,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,2,5,3,8,6,7,1] => [7,4,5,2,3,8,6,1] => [4,8,5,2,1,7,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,4,8,5,6,1] => [6,3,2,7,8,5,4,1] => [3,8,1,7,6,2,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,6,3,8,4] => [5,7,6,8,2,1,3,4] => [8,6,7,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,5,4,2,7,1] => [7,4,5,8,6,3,2,1] => [5,8,6,4,7,1,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,5,3,8,7,4,6,2] => [1,6,5,7,3,4,8,2] => [1,6,8,5,3,2,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,8,2,7,4,6,3,1] => [3,6,8,7,5,4,1,2] => [7,5,3,6,8,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,2,6,3,4,8,1,5] => [8,7,6,3,1,2,4,5] => [6,7,8,1,4,5,3,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,8,5,2,4,3,7,6] => [1,5,4,2,8,7,3,6] => [1,4,7,3,5,8,6,2] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[4,5,2,6,8,7,3,1] => [3,7,5,4,1,6,8,2] => [5,3,4,6,2,8,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[4,7,6,3,1,5,2,8] => [3,6,5,4,2,7,1,8] => [5,3,4,7,1,6,2,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[3,7,8,1,4,5,6,2] => [8,6,3,1,4,5,7,2] => [3,6,7,2,1,4,8,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,8,4,2,7,5,6,3] => [1,4,8,6,7,5,3,2] => [1,8,4,6,7,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,8,7,4,5,6,2] => [1,6,3,7,4,5,8,2] => [1,3,8,6,2,4,7,5] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[7,3,1,8,4,5,6,2] => [3,7,6,8,4,5,2,1] => [8,3,7,6,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,3,7,5,8,1] => [8,6,4,2,7,3,5,1] => [4,6,8,2,7,3,1,5] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[3,8,2,1,5,7,6,4] => [2,8,3,6,1,7,5,4] => [3,2,6,8,4,7,1,5] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,8,3,2,5,7,6,4] => [1,3,8,6,2,7,5,4] => [1,6,3,8,4,7,2,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,6,7,3,2,5,1,8] => [5,3,7,4,2,6,1,8] => [4,5,3,6,1,7,2,8] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,8,4,7,3,5,6,2] => [1,6,7,8,3,5,4,2] => [1,8,7,6,3,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,4,1,6,8,3] => [4,2,5,7,8,1,6,3] => [2,8,7,4,5,3,1,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,5,4,7,1,2,6] => [7,1,8,5,3,2,4,6] => [7,1,5,8,3,4,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,2,5,4,1,7,8,3] => [4,5,6,8,3,2,7,1] => [7,6,5,4,1,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,1,5,6,3,8,7,2] => [4,7,6,1,5,3,8,2] => [6,4,5,3,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,5,1,6,3,2,4,7] => [5,3,8,1,6,2,4,7] => [5,8,3,2,6,4,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,7,8,4,3,2,5,6] => [1,3,4,8,2,5,7,6] => [1,7,3,4,2,5,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[8,1,6,5,3,2,4,7] => [8,3,5,2,6,1,4,7] => [3,8,5,1,6,4,2,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,1,5,4,6,7,3,2] => [8,3,7,5,1,4,6,2] => [3,7,5,8,4,1,2,6] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[2,8,5,6,3,7,4,1] => [4,2,7,6,8,5,1,3] => [2,8,4,7,6,1,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,8,3,1,2,4,7] => [3,1,8,2,5,6,4,7] => [5,1,3,2,6,8,4,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[2,8,5,1,3,7,6,4] => [5,2,1,8,6,7,4,3] => [2,8,1,5,6,7,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,8,3,7,6,1] => [6,2,7,4,5,8,1,3] => [2,5,4,7,8,6,3,1] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[8,3,5,4,1,7,6,2] => [4,5,6,7,3,8,2,1] => [8,7,5,4,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,1,6,5,7] => [4,8,2,3,6,1,5,7] => [6,4,1,2,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,1,4,6,3,2,5,7] => [8,3,6,1,2,4,5,7] => [3,8,6,2,4,5,1,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,1,8,2,7,3] => [4,6,8,7,5,2,3,1] => [7,6,4,5,8,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,5,4,1,8,3,7,6] => [4,2,5,8,3,7,1,6] => [2,7,5,4,1,8,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[8,4,1,2,7,6,5,3] => [4,1,8,5,6,7,3,2] => [8,1,4,5,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,2,7,6,5,1] => [5,3,6,4,7,8,2,1] => [4,7,3,8,5,6,1,2] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[6,5,3,1,2,4,8,7,10,9] => [3,1,5,2,6,4,8,7,10,9] => [6,1,3,2,5,4,8,7,10,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[8,7,5,3,1,2,4,6,10,9] => [3,1,5,2,7,4,8,6,10,9] => [8,1,3,2,5,4,7,6,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[10,9,7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,9,6,10,8] => [10,1,3,2,5,4,7,6,9,8] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[5,3,1,2,4,6,8,7] => [3,1,5,2,4,6,8,7] => [5,1,3,2,4,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[8,5,7,3,1,2,4,6] => [3,1,7,2,8,4,5,6] => [8,1,3,2,7,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,8,7,5,4,6] => [3,1,2,5,7,4,8,6] => [3,1,2,8,5,4,7,6] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[3,1,2,7,5,4,6,9,8] => [3,1,2,5,7,4,6,9,8] => [3,1,2,7,5,4,6,9,8] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,3,2,4,7,6,9,8] => [1,3,5,2,4,7,6,9,8] => [1,5,3,2,4,7,6,9,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[5,1,3,2,8,4,6,7] => [5,3,1,8,2,4,6,7] => [3,8,2,5,4,1,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,8,3,5,2,6,7] => [1,5,8,4,3,2,6,7] => [1,5,4,8,2,3,6,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,8,3,4,7,5,2,6] => [1,5,7,2,8,3,4,6] => [1,8,7,3,5,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,5,2,8,4,3] => [7,5,4,8,1,6,2,3] => [5,6,7,4,3,8,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[2,7,3,4,8,6,5,1] => [5,2,6,3,8,7,4,1] => [2,8,6,1,5,7,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,4,7,3,6,5] => [1,8,7,2,6,3,4,5] => [1,6,7,3,8,5,4,2] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,8,1,7,3,2,4,6] => [8,3,7,2,5,4,1,6] => [3,7,5,1,8,2,6,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[2,7,4,3,5,8,6,1] => [6,2,4,8,1,7,5,3] => [2,6,8,4,3,7,1,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,7,3,6,2,1,4,5] => [2,6,7,1,4,3,8,5] => [8,2,6,3,1,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,8,3,4,7,6] => [2,1,8,3,5,7,4,6] => [2,1,5,3,7,8,6,4] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[2,7,1,6,5,8,3,4] => [7,2,8,3,6,1,5,4] => [2,7,6,1,8,5,3,4] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,2,3,8,1,5,7,4] => [8,6,2,7,1,3,5,4] => [6,8,1,7,4,5,2,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,5,6,2,4,7,1,3] => [7,6,1,2,8,5,4,3] => [7,8,2,3,6,1,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,3,1,5,8,2,7,4] => [3,6,8,7,2,5,1,4] => [8,6,3,7,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,7,3,4,8,2] => [6,8,7,3,5,1,4,2] => [7,5,6,1,8,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,2,6,8,7,4,3] => [5,1,4,7,2,6,8,3] => [5,1,6,4,3,8,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,3,4,6,8,2,7,5] => [1,8,3,4,7,6,2,5] => [1,3,4,6,7,8,5,2] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[5,1,7,2,6,8,4,3] => [5,7,4,8,1,2,6,3] => [7,5,8,4,3,2,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,1,8,2,4,7,3] => [5,6,8,3,7,2,4,1] => [8,7,5,1,6,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,3,8,4,5,1] => [5,2,7,8,4,6,3,1] => [2,7,6,5,1,8,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,7,6,4,3,8,5,1] => [5,2,4,8,6,7,1,3] => [2,5,8,4,6,7,3,1] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[3,8,6,2,7,5,4,1] => [4,5,3,7,6,8,2,1] => [5,3,8,4,7,6,1,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,1,7,6,5,2,4,8] => [3,5,1,2,6,7,4,8] => [7,3,2,1,5,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,8,1,6,2,5,3,7] => [8,6,5,4,2,1,3,7] => [4,5,6,8,2,3,1,7] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[6,8,2,7,5,1,3,4] => [5,7,2,3,8,6,1,4] => [7,6,1,2,5,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,4,8,5,2,3,6,7] => [1,5,2,4,8,3,6,7] => [1,4,2,8,5,3,6,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,4,8,5,2,3,7,6] => [1,5,2,4,8,7,3,6] => [1,4,2,7,5,8,6,3] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[7,2,5,8,1,4,3,6] => [8,7,4,1,2,3,5,6] => [4,7,8,3,2,5,6,1] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,1,4,2,6,8,3,5] => [7,4,8,1,3,2,6,5] => [7,8,4,3,1,5,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,7,5,8,6,2,3,4] => [1,6,2,3,8,7,4,5] => [1,8,2,3,6,7,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,7,1,2,6,3,5] => [7,1,6,8,3,2,4,5] => [7,1,8,6,3,5,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,5,8,7,2,4,3,6] => [1,7,4,2,5,3,8,6] => [1,4,5,3,8,2,7,6] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,2,8,7,3,5,4,6] => [1,2,7,5,3,4,8,6] => [1,2,5,8,4,3,7,6] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,5,7,6,8,3,4] => [1,2,8,3,5,7,6,4] => [1,2,5,3,7,8,4,6] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[8,4,3,6,7,5,2,1] => [2,5,4,7,8,1,6,3] => [7,2,8,4,5,3,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,8,4,3,2,7,5,1] => [5,3,4,7,8,6,1,2] => [3,7,6,4,5,8,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[2,1,4,3,6,5,9,7,10,8] => [2,1,4,3,6,5,9,10,7,8] => [2,1,4,3,6,5,10,9,8,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,7,5,8,6,10,9] => [2,1,4,3,7,8,5,6,10,9] => [2,1,4,3,8,7,6,5,10,9] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,4,3,7,5,9,6,10,8] => [2,1,4,3,7,9,5,10,6,8] => [2,1,4,3,10,7,6,9,8,5] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,3,8,5,9,6,10,7] => [2,1,4,3,8,9,10,5,6,7] => [2,1,4,3,10,9,8,7,6,5] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,3,6,4,8,7,10,9] => [2,1,5,6,3,4,8,7,10,9] => [2,1,6,5,4,3,8,7,10,9] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,5,3,6,4,9,7,10,8] => [2,1,5,6,3,4,9,10,7,8] => [2,1,6,5,4,3,10,9,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[2,1,5,3,7,4,8,6,10,9] => [2,1,5,7,3,8,4,6,10,9] => [2,1,8,5,4,7,6,3,10,9] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,1,5,3,7,4,9,6,10,8] => [2,1,5,7,3,9,4,10,6,8] => [2,1,10,5,4,7,6,9,8,3] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,3,8,4,9,6,10,7] => [2,1,5,8,3,9,10,4,6,7] => [2,1,10,5,4,9,8,7,6,3] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,7,4,8,5,10,9] => [2,1,6,7,8,3,4,5,10,9] => [2,1,8,7,6,5,4,3,10,9] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,1,6,3,7,4,9,5,10,8] => [2,1,6,7,9,3,4,10,5,8] => [2,1,10,7,6,5,4,9,8,3] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,8,4,9,5,10,7] => [2,1,6,8,9,3,10,4,5,7] => [2,1,10,9,6,5,8,7,4,3] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,3,8,4,9,5,10,6] => [2,1,7,8,9,10,3,4,5,6] => [2,1,10,9,8,7,6,5,4,3] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,6,5,9,7,10,8] => [3,4,1,2,6,5,9,10,7,8] => [4,3,2,1,6,5,10,9,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[3,1,4,2,7,5,8,6,10,9] => [3,4,1,2,7,8,5,6,10,9] => [4,3,2,1,8,7,6,5,10,9] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[3,1,4,2,7,5,9,6,10,8] => [3,4,1,2,7,9,5,10,6,8] => [4,3,2,1,10,7,6,9,8,5] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,2,8,5,9,6,10,7] => [3,4,1,2,8,9,10,5,6,7] => [4,3,2,1,10,9,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,2,6,4,9,7,10,8] => [3,5,1,6,2,4,9,10,7,8] => [6,3,2,5,4,1,10,9,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[3,1,5,2,8,4,9,6,10,7] => [3,5,1,8,2,9,10,4,6,7] => [10,3,2,5,4,9,8,7,6,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,1,6,2,7,4,8,5,10,9] => [3,6,1,7,8,2,4,5,10,9] => [8,3,2,7,6,5,4,1,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[3,1,6,2,7,4,9,5,10,8] => [3,6,1,7,9,2,4,10,5,8] => [10,3,2,7,6,5,4,9,8,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,1,6,2,8,4,9,5,10,7] => [3,6,1,8,9,2,10,4,5,7] => [10,3,2,9,6,5,8,7,4,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,1,7,2,8,4,9,5,10,6] => [3,7,1,8,9,10,2,4,5,6] => [10,3,2,9,8,7,6,5,4,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[4,1,5,2,6,3,9,7,10,8] => [4,5,6,1,2,3,9,10,7,8] => [6,5,4,3,2,1,10,9,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[4,1,5,2,7,3,8,6,10,9] => [4,5,7,1,2,8,3,6,10,9] => [8,5,4,3,2,7,6,1,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[4,1,5,2,7,3,9,6,10,8] => [4,5,7,1,2,9,3,10,6,8] => [10,5,4,3,2,7,6,9,8,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[4,1,5,2,8,3,9,6,10,7] => [4,5,8,1,2,9,10,3,6,7] => [10,5,4,3,2,9,8,7,6,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[4,1,6,2,7,3,8,5,10,9] => [4,6,7,1,8,2,3,5,10,9] => [8,7,4,3,6,5,2,1,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[4,1,6,2,7,3,9,5,10,8] => [4,6,7,1,9,2,3,10,5,8] => [10,7,4,3,6,5,2,9,8,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[4,1,6,2,8,3,9,5,10,7] => [4,6,8,1,9,2,10,3,5,7] => [10,9,4,3,6,5,8,7,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[4,1,7,2,8,3,9,5,10,6] => [4,7,8,1,9,10,2,3,5,6] => [10,9,4,3,8,7,6,5,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[5,1,6,2,7,3,9,4,10,8] => [5,6,7,9,1,2,3,10,4,8] => [10,7,6,5,4,3,2,9,8,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[5,1,6,2,8,3,9,4,10,7] => [5,6,8,9,1,2,10,3,4,7] => [10,9,6,5,4,3,8,7,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[5,1,7,2,8,3,9,4,10,6] => [5,7,8,9,1,10,2,3,4,6] => [10,9,8,5,4,7,6,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,4,3,6,5,8,7,11,9,12,10] => [2,1,4,3,6,5,8,7,11,12,9,10] => [2,1,4,3,6,5,8,7,12,11,10,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,6,5,9,7,10,8,12,11] => [2,1,4,3,6,5,9,10,7,8,12,11] => [2,1,4,3,6,5,10,9,8,7,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,4,3,6,5,9,7,11,8,12,10] => [2,1,4,3,6,5,9,11,7,12,8,10] => [2,1,4,3,6,5,12,9,8,11,10,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,3,6,5,10,7,11,8,12,9] => [2,1,4,3,6,5,10,11,12,7,8,9] => [2,1,4,3,6,5,12,11,10,9,8,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,3,7,5,8,6,10,9,12,11] => [2,1,4,3,7,8,5,6,10,9,12,11] => [2,1,4,3,8,7,6,5,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,7,5,8,6,11,9,12,10] => [2,1,4,3,7,8,5,6,11,12,9,10] => [2,1,4,3,8,7,6,5,12,11,10,9] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,7,5,9,6,10,8,12,11] => [2,1,4,3,7,9,5,10,6,8,12,11] => [2,1,4,3,10,7,6,9,8,5,12,11] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,1,4,3,7,5,9,6,11,8,12,10] => [2,1,4,3,7,9,5,11,6,12,8,10] => [2,1,4,3,12,7,6,9,8,11,10,5] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,7,5,10,6,11,8,12,9] => [2,1,4,3,7,10,5,11,12,6,8,9] => [2,1,4,3,12,7,6,11,10,9,8,5] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,8,5,9,6,10,7,12,11] => [2,1,4,3,8,9,10,5,6,7,12,11] => [2,1,4,3,10,9,8,7,6,5,12,11] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,1,4,3,8,5,9,6,11,7,12,10] => [2,1,4,3,8,9,11,5,6,12,7,10] => [2,1,4,3,12,9,8,7,6,11,10,5] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,8,5,10,6,11,7,12,9] => [2,1,4,3,8,10,11,5,12,6,7,9] => [2,1,4,3,12,11,8,7,10,9,6,5] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,9,5,10,6,11,7,12,8] => [2,1,4,3,9,10,11,12,5,6,7,8] => [2,1,4,3,12,11,10,9,8,7,6,5] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,3,6,4,8,7,10,9,12,11] => [2,1,5,6,3,4,8,7,10,9,12,11] => [2,1,6,5,4,3,8,7,10,9,12,11] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,5,3,6,4,8,7,11,9,12,10] => [2,1,5,6,3,4,8,7,11,12,9,10] => [2,1,6,5,4,3,8,7,12,11,10,9] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,5,3,6,4,9,7,10,8,12,11] => [2,1,5,6,3,4,9,10,7,8,12,11] => [2,1,6,5,4,3,10,9,8,7,12,11] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,5,3,6,4,9,7,11,8,12,10] => [2,1,5,6,3,4,9,11,7,12,8,10] => [2,1,6,5,4,3,12,9,8,11,10,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,3,6,4,10,7,11,8,12,9] => [2,1,5,6,3,4,10,11,12,7,8,9] => [2,1,6,5,4,3,12,11,10,9,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,3,7,4,8,6,10,9,12,11] => [2,1,5,7,3,8,4,6,10,9,12,11] => [2,1,8,5,4,7,6,3,10,9,12,11] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,5,3,7,4,8,6,11,9,12,10] => [2,1,5,7,3,8,4,6,11,12,9,10] => [2,1,8,5,4,7,6,3,12,11,10,9] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[2,1,5,3,7,4,9,6,10,8,12,11] => [2,1,5,7,3,9,4,10,6,8,12,11] => [2,1,10,5,4,7,6,9,8,3,12,11] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[2,1,5,3,7,4,9,6,11,8,12,10] => [2,1,5,7,3,9,4,11,6,12,8,10] => [2,1,12,5,4,7,6,9,8,11,10,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,5,3,7,4,10,6,11,8,12,9] => [2,1,5,7,3,10,4,11,12,6,8,9] => [2,1,12,5,4,7,6,11,10,9,8,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,5,3,8,4,9,6,10,7,12,11] => [2,1,5,8,3,9,10,4,6,7,12,11] => [2,1,10,5,4,9,8,7,6,3,12,11] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[2,1,5,3,8,4,9,6,11,7,12,10] => [2,1,5,8,3,9,11,4,6,12,7,10] => [2,1,12,5,4,9,8,7,6,11,10,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,5,3,8,4,10,6,11,7,12,9] => [2,1,5,8,3,10,11,4,12,6,7,9] => [2,1,12,5,4,11,8,7,10,9,6,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,5,3,9,4,10,6,11,7,12,8] => [2,1,5,9,3,10,11,12,4,6,7,8] => [2,1,12,5,4,11,10,9,8,7,6,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,6,3,7,4,8,5,10,9,12,11] => [2,1,6,7,8,3,4,5,10,9,12,11] => [2,1,8,7,6,5,4,3,10,9,12,11] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,6,3,7,4,8,5,11,9,12,10] => [2,1,6,7,8,3,4,5,11,12,9,10] => [2,1,8,7,6,5,4,3,12,11,10,9] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[2,1,6,3,7,4,9,5,10,8,12,11] => [2,1,6,7,9,3,4,10,5,8,12,11] => [2,1,10,7,6,5,4,9,8,3,12,11] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[2,1,6,3,7,4,9,5,11,8,12,10] => [2,1,6,7,9,3,4,11,5,12,8,10] => [2,1,12,7,6,5,4,9,8,11,10,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,6,3,7,4,10,5,11,8,12,9] => [2,1,6,7,10,3,4,11,12,5,8,9] => [2,1,12,7,6,5,4,11,10,9,8,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,6,3,8,4,9,5,10,7,12,11] => [2,1,6,8,9,3,10,4,5,7,12,11] => [2,1,10,9,6,5,8,7,4,3,12,11] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[2,1,6,3,8,4,9,5,11,7,12,10] => [2,1,6,8,9,3,11,4,5,12,7,10] => [2,1,12,9,6,5,8,7,4,11,10,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,6,3,8,4,10,5,11,7,12,9] => [2,1,6,8,10,3,11,4,12,5,7,9] => [2,1,12,11,6,5,8,7,10,9,4,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,6,3,9,4,10,5,11,7,12,8] => [2,1,6,9,10,3,11,12,4,5,7,8] => [2,1,12,11,6,5,10,9,8,7,4,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,7,3,8,4,9,5,10,6,12,11] => [2,1,7,8,9,10,3,4,5,6,12,11] => [2,1,10,9,8,7,6,5,4,3,12,11] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[2,1,7,3,8,4,9,5,11,6,12,10] => [2,1,7,8,9,11,3,4,5,12,6,10] => [2,1,12,9,8,7,6,5,4,11,10,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,7,3,8,4,10,5,11,6,12,9] => [2,1,7,8,10,11,3,4,12,5,6,9] => [2,1,12,11,8,7,6,5,10,9,4,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,7,3,9,4,10,5,11,6,12,8] => [2,1,7,9,10,11,3,12,4,5,6,8] => [2,1,12,11,10,7,6,9,8,5,4,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,8,3,9,4,10,5,11,6,12,7] => [2,1,8,9,10,11,12,3,4,5,6,7] => [2,1,12,11,10,9,8,7,6,5,4,3] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,1,4,2,6,5,8,7,10,9,12,11] => [3,4,1,2,6,5,8,7,10,9,12,11] => [4,3,2,1,6,5,8,7,10,9,12,11] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,4,2,6,5,8,7,11,9,12,10] => [3,4,1,2,6,5,8,7,11,12,9,10] => [4,3,2,1,6,5,8,7,12,11,10,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[3,1,4,2,6,5,9,7,10,8,12,11] => [3,4,1,2,6,5,9,10,7,8,12,11] => [4,3,2,1,6,5,10,9,8,7,12,11] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[3,1,4,2,6,5,9,7,11,8,12,10] => [3,4,1,2,6,5,9,11,7,12,8,10] => [4,3,2,1,6,5,12,9,8,11,10,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,2,6,5,10,7,11,8,12,9] => [3,4,1,2,6,5,10,11,12,7,8,9] => [4,3,2,1,6,5,12,11,10,9,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,2,7,5,8,6,10,9,12,11] => [3,4,1,2,7,8,5,6,10,9,12,11] => [4,3,2,1,8,7,6,5,10,9,12,11] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[3,1,4,2,7,5,8,6,11,9,12,10] => [3,4,1,2,7,8,5,6,11,12,9,10] => [4,3,2,1,8,7,6,5,12,11,10,9] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[3,1,4,2,7,5,9,6,10,8,12,11] => [3,4,1,2,7,9,5,10,6,8,12,11] => [4,3,2,1,10,7,6,9,8,5,12,11] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,1,4,2,7,5,9,6,11,8,12,10] => [3,4,1,2,7,9,5,11,6,12,8,10] => [4,3,2,1,12,7,6,9,8,11,10,5] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,7,5,10,6,11,8,12,9] => [3,4,1,2,7,10,5,11,12,6,8,9] => [4,3,2,1,12,7,6,11,10,9,8,5] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,8,5,9,6,10,7,12,11] => [3,4,1,2,8,9,10,5,6,7,12,11] => [4,3,2,1,10,9,8,7,6,5,12,11] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,1,4,2,8,5,9,6,11,7,12,10] => [3,4,1,2,8,9,11,5,6,12,7,10] => [4,3,2,1,12,9,8,7,6,11,10,5] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,8,5,10,6,11,7,12,9] => [3,4,1,2,8,10,11,5,12,6,7,9] => [4,3,2,1,12,11,8,7,10,9,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,9,5,10,6,11,7,12,8] => [3,4,1,2,9,10,11,12,5,6,7,8] => [4,3,2,1,12,11,10,9,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,2,6,4,8,7,10,9,12,11] => [3,5,1,6,2,4,8,7,10,9,12,11] => [6,3,2,5,4,1,8,7,10,9,12,11] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,5,2,6,4,8,7,11,9,12,10] => [3,5,1,6,2,4,8,7,11,12,9,10] => [6,3,2,5,4,1,8,7,12,11,10,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[3,1,5,2,6,4,9,7,10,8,12,11] => [3,5,1,6,2,4,9,10,7,8,12,11] => [6,3,2,5,4,1,10,9,8,7,12,11] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[3,1,5,2,6,4,9,7,11,8,12,10] => [3,5,1,6,2,4,9,11,7,12,8,10] => [6,3,2,5,4,1,12,9,8,11,10,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,2,6,4,10,7,11,8,12,9] => [3,5,1,6,2,4,10,11,12,7,8,9] => [6,3,2,5,4,1,12,11,10,9,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,2,7,4,8,6,10,9,12,11] => [3,5,1,7,2,8,4,6,10,9,12,11] => [8,3,2,5,4,7,6,1,10,9,12,11] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[3,1,5,2,7,4,8,6,11,9,12,10] => [3,5,1,7,2,8,4,6,11,12,9,10] => [8,3,2,5,4,7,6,1,12,11,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[3,1,5,2,7,4,9,6,10,8,12,11] => [3,5,1,7,2,9,4,10,6,8,12,11] => [10,3,2,5,4,7,6,9,8,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[3,1,5,2,7,4,9,6,11,8,12,10] => [3,5,1,7,2,9,4,11,6,12,8,10] => [12,3,2,5,4,7,6,9,8,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,5,2,7,4,10,6,11,8,12,9] => [3,5,1,7,2,10,4,11,12,6,8,9] => [12,3,2,5,4,7,6,11,10,9,8,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,5,2,8,4,9,6,10,7,12,11] => [3,5,1,8,2,9,10,4,6,7,12,11] => [10,3,2,5,4,9,8,7,6,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[3,1,5,2,8,4,9,6,11,7,12,10] => [3,5,1,8,2,9,11,4,6,12,7,10] => [12,3,2,5,4,9,8,7,6,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,5,2,8,4,10,6,11,7,12,9] => [3,5,1,8,2,10,11,4,12,6,7,9] => [12,3,2,5,4,11,8,7,10,9,6,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,5,2,9,4,10,6,11,7,12,8] => [3,5,1,9,2,10,11,12,4,6,7,8] => [12,3,2,5,4,11,10,9,8,7,6,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,6,2,7,4,8,5,10,9,12,11] => [3,6,1,7,8,2,4,5,10,9,12,11] => [8,3,2,7,6,5,4,1,10,9,12,11] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[3,1,6,2,7,4,8,5,11,9,12,10] => [3,6,1,7,8,2,4,5,11,12,9,10] => [8,3,2,7,6,5,4,1,12,11,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[3,1,6,2,7,4,9,5,10,8,12,11] => [3,6,1,7,9,2,4,10,5,8,12,11] => [10,3,2,7,6,5,4,9,8,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[3,1,6,2,7,4,9,5,11,8,12,10] => [3,6,1,7,9,2,4,11,5,12,8,10] => [12,3,2,7,6,5,4,9,8,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,6,2,7,4,10,5,11,8,12,9] => [3,6,1,7,10,2,4,11,12,5,8,9] => [12,3,2,7,6,5,4,11,10,9,8,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,6,2,8,4,9,5,10,7,12,11] => [3,6,1,8,9,2,10,4,5,7,12,11] => [10,3,2,9,6,5,8,7,4,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[3,1,6,2,8,4,9,5,11,7,12,10] => [3,6,1,8,9,2,11,4,5,12,7,10] => [12,3,2,9,6,5,8,7,4,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,6,2,8,4,10,5,11,7,12,9] => [3,6,1,8,10,2,11,4,12,5,7,9] => [12,3,2,11,6,5,8,7,10,9,4,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,6,2,9,4,10,5,11,7,12,8] => [3,6,1,9,10,2,11,12,4,5,7,8] => [12,3,2,11,6,5,10,9,8,7,4,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,7,2,8,4,9,5,10,6,12,11] => [3,7,1,8,9,10,2,4,5,6,12,11] => [10,3,2,9,8,7,6,5,4,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[3,1,7,2,8,4,9,5,11,6,12,10] => [3,7,1,8,9,11,2,4,5,12,6,10] => [12,3,2,9,8,7,6,5,4,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,7,2,8,4,10,5,11,6,12,9] => [3,7,1,8,10,11,2,4,12,5,6,9] => [12,3,2,11,8,7,6,5,10,9,4,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,7,2,9,4,10,5,11,6,12,8] => [3,7,1,9,10,11,2,12,4,5,6,8] => [12,3,2,11,10,7,6,9,8,5,4,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[3,1,8,2,9,4,10,5,11,6,12,7] => [3,8,1,9,10,11,12,2,4,5,6,7] => [12,3,2,11,10,9,8,7,6,5,4,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,5,2,6,3,8,7,10,9,12,11] => [4,5,6,1,2,3,8,7,10,9,12,11] => [6,5,4,3,2,1,8,7,10,9,12,11] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[4,1,5,2,6,3,8,7,11,9,12,10] => [4,5,6,1,2,3,8,7,11,12,9,10] => [6,5,4,3,2,1,8,7,12,11,10,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[4,1,5,2,6,3,9,7,10,8,12,11] => [4,5,6,1,2,3,9,10,7,8,12,11] => [6,5,4,3,2,1,10,9,8,7,12,11] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[4,1,5,2,6,3,9,7,11,8,12,10] => [4,5,6,1,2,3,9,11,7,12,8,10] => [6,5,4,3,2,1,12,9,8,11,10,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,2,6,3,10,7,11,8,12,9] => [4,5,6,1,2,3,10,11,12,7,8,9] => [6,5,4,3,2,1,12,11,10,9,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,2,7,3,8,6,10,9,12,11] => [4,5,7,1,2,8,3,6,10,9,12,11] => [8,5,4,3,2,7,6,1,10,9,12,11] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[4,1,5,2,7,3,8,6,11,9,12,10] => [4,5,7,1,2,8,3,6,11,12,9,10] => [8,5,4,3,2,7,6,1,12,11,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[4,1,5,2,7,3,9,6,10,8,12,11] => [4,5,7,1,2,9,3,10,6,8,12,11] => [10,5,4,3,2,7,6,9,8,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[4,1,5,2,7,3,9,6,11,8,12,10] => [4,5,7,1,2,9,3,11,6,12,8,10] => [12,5,4,3,2,7,6,9,8,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,5,2,7,3,10,6,11,8,12,9] => [4,5,7,1,2,10,3,11,12,6,8,9] => [12,5,4,3,2,7,6,11,10,9,8,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,5,2,8,3,9,6,10,7,12,11] => [4,5,8,1,2,9,10,3,6,7,12,11] => [10,5,4,3,2,9,8,7,6,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[4,1,5,2,8,3,9,6,11,7,12,10] => [4,5,8,1,2,9,11,3,6,12,7,10] => [12,5,4,3,2,9,8,7,6,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,5,2,8,3,10,6,11,7,12,9] => [4,5,8,1,2,10,11,3,12,6,7,9] => [12,5,4,3,2,11,8,7,10,9,6,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,5,2,9,3,10,6,11,7,12,8] => [4,5,9,1,2,10,11,12,3,6,7,8] => [12,5,4,3,2,11,10,9,8,7,6,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,6,2,7,3,8,5,10,9,12,11] => [4,6,7,1,8,2,3,5,10,9,12,11] => [8,7,4,3,6,5,2,1,10,9,12,11] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[4,1,6,2,7,3,8,5,11,9,12,10] => [4,6,7,1,8,2,3,5,11,12,9,10] => [8,7,4,3,6,5,2,1,12,11,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[4,1,6,2,7,3,9,5,10,8,12,11] => [4,6,7,1,9,2,3,10,5,8,12,11] => [10,7,4,3,6,5,2,9,8,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[4,1,6,2,7,3,9,5,11,8,12,10] => [4,6,7,1,9,2,3,11,5,12,8,10] => [12,7,4,3,6,5,2,9,8,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,6,2,7,3,10,5,11,8,12,9] => [4,6,7,1,10,2,3,11,12,5,8,9] => [12,7,4,3,6,5,2,11,10,9,8,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,6,2,8,3,9,5,10,7,12,11] => [4,6,8,1,9,2,10,3,5,7,12,11] => [10,9,4,3,6,5,8,7,2,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[4,1,6,2,8,3,9,5,11,7,12,10] => [4,6,8,1,9,2,11,3,5,12,7,10] => [12,9,4,3,6,5,8,7,2,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,6,2,8,3,10,5,11,7,12,9] => [4,6,8,1,10,2,11,3,12,5,7,9] => [12,11,4,3,6,5,8,7,10,9,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,6,2,9,3,10,5,11,7,12,8] => [4,6,9,1,10,2,11,12,3,5,7,8] => [12,11,4,3,6,5,10,9,8,7,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,7,2,8,3,9,5,10,6,12,11] => [4,7,8,1,9,10,2,3,5,6,12,11] => [10,9,4,3,8,7,6,5,2,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[4,1,7,2,8,3,9,5,11,6,12,10] => [4,7,8,1,9,11,2,3,5,12,6,10] => [12,9,4,3,8,7,6,5,2,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,7,2,8,3,10,5,11,6,12,9] => [4,7,8,1,10,11,2,3,12,5,6,9] => [12,11,4,3,8,7,6,5,10,9,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,7,2,9,3,10,5,11,6,12,8] => [4,7,9,1,10,11,2,12,3,5,6,8] => [12,11,4,3,10,7,6,9,8,5,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,1,8,2,9,3,10,5,11,6,12,7] => [4,8,9,1,10,11,12,2,3,5,6,7] => [12,11,4,3,10,9,8,7,6,5,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,1,6,2,7,3,8,4,10,9,12,11] => [5,6,7,8,1,2,3,4,10,9,12,11] => [8,7,6,5,4,3,2,1,10,9,12,11] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[5,1,6,2,7,3,8,4,11,9,12,10] => [5,6,7,8,1,2,3,4,11,12,9,10] => [8,7,6,5,4,3,2,1,12,11,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[5,1,6,2,7,3,9,4,10,8,12,11] => [5,6,7,9,1,2,3,10,4,8,12,11] => [10,7,6,5,4,3,2,9,8,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[5,1,6,2,7,3,9,4,11,8,12,10] => [5,6,7,9,1,2,3,11,4,12,8,10] => [12,7,6,5,4,3,2,9,8,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,1,6,2,7,3,10,4,11,8,12,9] => [5,6,7,10,1,2,3,11,12,4,8,9] => [12,7,6,5,4,3,2,11,10,9,8,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,1,6,2,8,3,9,4,10,7,12,11] => [5,6,8,9,1,2,10,3,4,7,12,11] => [10,9,6,5,4,3,8,7,2,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[5,1,6,2,8,3,9,4,11,7,12,10] => [5,6,8,9,1,2,11,3,4,12,7,10] => [12,9,6,5,4,3,8,7,2,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,1,6,2,8,3,10,4,11,7,12,9] => [5,6,8,10,1,2,11,3,12,4,7,9] => [12,11,6,5,4,3,8,7,10,9,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,1,6,2,9,3,10,4,11,7,12,8] => [5,6,9,10,1,2,11,12,3,4,7,8] => [12,11,6,5,4,3,10,9,8,7,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,1,7,2,8,3,9,4,10,6,12,11] => [5,7,8,9,1,10,2,3,4,6,12,11] => [10,9,8,5,4,7,6,3,2,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[5,1,7,2,8,3,9,4,11,6,12,10] => [5,7,8,9,1,11,2,3,4,12,6,10] => [12,9,8,5,4,7,6,3,2,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,1,7,2,8,3,10,4,11,6,12,9] => [5,7,8,10,1,11,2,3,12,4,6,9] => [12,11,8,5,4,7,6,3,10,9,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,1,7,2,9,3,10,4,11,6,12,8] => [5,7,9,10,1,11,2,12,3,4,6,8] => [12,11,10,5,4,7,6,9,8,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,1,8,2,9,3,10,4,11,6,12,7] => [5,8,9,10,1,11,12,2,3,4,6,7] => [12,11,10,5,4,9,8,7,6,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[6,1,7,2,8,3,9,4,10,5,12,11] => [6,7,8,9,10,1,2,3,4,5,12,11] => [10,9,8,7,6,5,4,3,2,1,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[6,1,7,2,8,3,9,4,11,5,12,10] => [6,7,8,9,11,1,2,3,4,12,5,10] => [12,9,8,7,6,5,4,3,2,11,10,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[6,1,7,2,8,3,10,4,11,5,12,9] => [6,7,8,10,11,1,2,3,12,4,5,9] => [12,11,8,7,6,5,4,3,10,9,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[6,1,7,2,9,3,10,4,11,5,12,8] => [6,7,9,10,11,1,2,12,3,4,5,8] => [12,11,10,7,6,5,4,9,8,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[6,1,8,2,9,3,10,4,11,5,12,7] => [6,8,9,10,11,1,12,2,3,4,5,7] => [12,11,10,9,6,5,8,7,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[7,1,2,8,4,6,3,5] => [7,1,6,8,3,4,2,5] => [7,1,8,6,3,4,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,1,7,5,3,4,2] => [6,4,5,1,8,7,3,2] => [4,8,6,3,5,7,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,6,4,8,2,5] => [1,8,3,6,2,7,4,5] => [1,3,6,8,4,7,5,2] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,8,6,5,7,2,4,3] => [1,7,4,2,6,8,5,3] => [1,4,7,3,8,6,2,5] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[5,4,2,8,7,6,3,1] => [3,6,4,5,1,7,8,2] => [8,3,4,5,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,4,7,6,3,2] => [5,3,8,2,6,7,4,1] => [5,8,3,1,6,7,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,2,4,7,6,3,1] => [3,6,5,2,7,8,4,1] => [8,3,7,1,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,3,5,8,4,1] => [4,2,8,7,1,6,5,3] => [2,7,4,6,3,8,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,7,3,5,8,1,4] => [8,2,7,1,3,6,5,4] => [2,6,7,3,4,8,1,5] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[2,7,3,5,8,4,6,1] => [6,2,7,8,3,4,5,1] => [2,8,7,6,3,4,1,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,3,2,8,1,6] => [8,3,5,4,7,1,2,6] => [3,5,4,8,7,2,6,1] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[4,7,5,2,8,6,1,3] => [6,5,2,4,8,7,1,3] => [4,6,1,8,5,7,3,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,4,2,5,7,1,8,6] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[5,1,3,6,8,2,7,4] => [5,8,1,7,3,6,2,4] => [7,5,2,6,3,8,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,7,6,1,5,4,8,3] => [6,2,7,5,3,8,4,1] => [2,7,5,8,3,6,1,4] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,1,4,6,8,5,3] => [2,7,5,1,8,4,6,3] => [7,2,8,3,5,1,4,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,1,8,4,5,2,7] => [3,6,5,8,4,2,1,7] => [8,3,6,5,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,6,8,1,7,5] => [8,4,2,3,7,6,1,5] => [4,6,1,2,7,8,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[3,6,2,4,8,7,5,1] => [5,7,3,1,6,4,8,2] => [5,3,8,2,6,1,7,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,1,4,7,5,8,6,3] => [2,1,6,4,8,7,3,5] => [2,1,4,8,6,7,5,3] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[3,6,8,5,2,1,4,7] => [2,5,3,1,8,6,4,7] => [3,2,6,1,5,8,4,7] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[7,2,6,4,8,3,5,1] => [5,7,8,6,3,2,4,1] => [8,6,5,7,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,4,8,3,1,5] => [3,8,6,1,2,7,4,5] => [8,3,6,2,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,1,4,3,7,2] => [8,7,4,1,6,5,3,2] => [4,6,7,3,8,1,2,5] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[8,1,4,2,7,5,6,3] => [8,4,6,1,7,5,2,3] => [4,8,6,3,7,1,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,7,5,8,1] => [8,4,6,3,7,2,5,1] => [4,8,6,1,7,3,2,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,8,3,4,1] => [4,6,8,3,7,2,5,1] => [8,6,4,1,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,6,2,7,5] => [4,6,8,3,7,1,2,5] => [8,6,4,1,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,7,2,5,8,3] => [1,7,8,4,2,6,5,3] => [1,6,4,7,3,8,2,5] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,4,7,3,6,8,2,5] => [1,8,7,4,2,3,6,5] => [1,4,7,8,3,5,2,6] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[2,4,7,3,6,8,1,5] => [8,2,7,4,1,3,6,5] => [2,4,7,8,3,5,1,6] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[7,6,1,5,2,8,3,4] => [6,5,7,1,3,8,2,4] => [7,8,5,3,2,6,4,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,1,6,7,4,5,8,3] => [2,1,8,7,4,6,5,3] => [2,1,6,7,3,8,4,5] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[8,5,7,6,1,3,2,4] => [6,3,1,2,7,8,4,5] => [3,8,2,1,7,6,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,6,1,8,4,3] => [6,2,4,8,7,5,1,3] => [2,6,8,4,7,1,5,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,2,6,7,4,5,8,3] => [1,2,8,7,4,6,5,3] => [1,2,6,7,3,8,4,5] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[3,8,7,2,5,1,6,4] => [5,7,3,6,2,1,8,4] => [5,3,8,6,2,4,7,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,2,3,6,8,1,4,5] => [8,7,2,1,4,3,6,5] => [7,8,1,3,2,5,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,3,1,7,5,2,6,4] => [3,8,5,7,6,4,2,1] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,3,8,5,4,7] => [6,2,1,5,8,3,4,7] => [2,6,1,8,5,4,3,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[6,4,1,8,3,2,5,7] => [4,3,6,8,1,2,5,7] => [6,8,3,4,2,5,1,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,7,1,4,2,8,3,6] => [7,4,8,1,5,3,2,6] => [5,7,4,3,8,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[6,1,4,8,3,5,2,7] => [6,5,8,1,3,4,2,7] => [6,8,5,3,2,1,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,4,8,2,1,7,3,5] => [2,8,7,6,3,4,1,5] => [6,2,7,8,3,4,5,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[2,3,1,8,7,5,6,4] => [3,2,1,6,7,5,8,4] => [2,3,1,8,6,4,7,5] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[6,4,1,2,7,8,5,3] => [4,1,6,5,8,3,7,2] => [7,1,4,6,5,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,8,6,4,1,5,3,7] => [4,2,6,5,3,8,1,7] => [2,8,4,5,1,6,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,8,2,4,3,5] => [6,7,4,1,3,8,2,5] => [7,4,8,3,1,6,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,1,3,2,6,8,5,7] => [4,3,1,2,8,6,5,7] => [3,4,2,1,6,8,5,7] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,6,5,3,8,2,4,7] => [1,8,5,2,6,3,4,7] => [1,5,8,3,6,4,2,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,8,3,2,5,4,1,6] => [4,3,5,8,1,2,7,6] => [5,7,3,4,2,1,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,1,2,4,6,8,3,7] => [5,1,8,2,4,6,3,7] => [6,1,5,3,2,8,4,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,1,2,4,5,8,3,7] => [6,1,8,2,4,5,3,7] => [8,1,6,3,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,1,2,3,5,4] => [7,1,2,5,3,6,8,4] => [5,1,2,6,4,8,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[2,6,3,8,4,1,7,5] => [4,2,8,6,7,1,3,5] => [2,8,4,6,7,5,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,7,4,8,2,5] => [1,8,6,7,2,3,4,5] => [1,6,8,7,4,5,3,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,8,5,1,3,2,7,6] => [5,3,1,4,8,7,2,6] => [3,4,2,7,5,8,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[2,8,1,6,7,3,4,5] => [8,2,7,3,4,1,6,5] => [2,7,8,1,3,5,4,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[7,4,3,8,5,1,6,2] => [5,8,4,6,7,2,1,3] => [7,4,8,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,5,7,2,8,4,3] => [6,7,4,8,1,5,2,3] => [7,6,8,4,3,1,5,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,7,5,4,8,1,2] => [8,1,3,5,7,6,4,2] => [3,1,5,7,6,8,2,4] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[4,5,7,2,6,3,8,1] => [8,7,6,4,5,2,3,1] => [4,5,6,7,8,2,1,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[7,1,5,6,8,3,2,4] => [7,3,8,2,1,5,6,4] => [7,8,3,1,4,2,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,5,6,4,1,8,2,3] => [4,6,1,8,7,5,2,3] => [8,6,2,4,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,7,4,6,8,3] => [2,1,8,7,5,4,6,3] => [2,1,5,7,8,3,4,6] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[5,7,4,6,8,2,1,3] => [2,8,1,7,5,4,6,3] => [5,2,1,7,8,3,4,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[2,3,5,7,8,1,6,4] => [8,2,3,6,5,1,7,4] => [2,3,5,6,7,4,8,1] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[8,2,3,5,6,4,1,7] => [4,6,1,8,3,5,2,7] => [8,6,2,4,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,5,3,6,8,1] => [8,2,5,4,7,3,6,1] => [2,4,5,8,7,1,3,6] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[4,7,1,3,6,2,5,8] => [7,6,1,4,2,3,5,8] => [4,6,2,7,3,5,1,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => [1,7,5,3,2,4,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[8,1,7,2,4,6,3,5] => [8,7,6,2,3,4,1,5] => [6,7,8,2,3,4,5,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[2,5,8,1,4,7,3,6] => [8,2,7,1,5,3,4,6] => [2,5,7,3,8,4,6,1] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,7,1,2,5,8,3,6] => [7,1,8,4,2,3,5,6] => [7,1,4,8,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,5,8,3,6,4,7,1] => [7,2,8,6,5,3,4,1] => [2,6,5,7,8,3,1,4] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,5,3,6,8,2,4,7] => [1,8,5,2,3,6,4,7] => [1,5,6,3,4,8,2,7] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[3,5,2,4,7,8,1,6] => [8,5,3,2,4,1,7,6] => [3,5,7,1,2,4,8,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[4,8,1,2,6,3,7,5] => [8,1,6,4,7,2,3,5] => [4,1,6,8,7,5,3,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[5,8,1,2,6,3,7,4] => [8,1,6,7,5,2,3,4] => [5,1,7,6,8,4,3,2] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,7,5,2,3,8,6,4] => [1,5,2,7,6,8,4,3] => [1,8,2,5,7,6,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,3,6,1,7,2,5] => [6,7,4,8,2,3,1,5] => [7,6,8,4,2,3,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,2,6,3,7,5,8,4] => [1,2,6,8,7,3,5,4] => [1,2,8,6,7,5,3,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,4,6,7,8,2] => [3,8,1,5,4,6,7,2] => [5,3,2,6,1,7,8,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[2,8,5,7,3,1,4,6] => [3,2,7,1,8,4,5,6] => [2,8,3,1,7,5,6,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,8,7,3,1,4,5] => [3,2,7,1,4,6,8,5] => [2,6,3,1,4,8,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[7,4,2,1,3,8,5,6] => [2,4,1,7,8,5,3,6] => [8,2,1,4,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,3,8,6,4,5] => [2,1,7,6,4,8,3,5] => [2,1,7,8,3,6,5,4] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[4,5,7,6,2,8,1,3] => [8,6,1,4,5,7,2,3] => [4,5,2,6,8,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[3,1,8,7,5,2,6,4] => [3,5,1,7,6,4,8,2] => [8,3,2,5,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,1,4,2,7,6] => [3,8,4,2,5,7,1,6] => [5,3,4,1,7,8,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[3,8,4,1,5,2,7,6] => [4,8,3,5,2,7,1,6] => [4,3,7,5,1,8,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[3,8,5,1,4,2,7,6] => [5,4,3,1,8,7,2,6] => [3,4,7,2,5,8,6,1] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[5,1,7,8,3,2,6,4] => [5,3,8,6,1,2,7,4] => [5,7,3,6,4,2,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,8,7,2,4,3,6,5] => [1,7,4,2,6,3,8,5] => [1,4,6,3,8,5,7,2] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[4,8,3,1,6,2,7,5] => [3,8,6,4,7,2,1,5] => [6,3,4,8,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,8,3,1,6,4,7,5] => [3,2,8,6,7,1,4,5] => [2,6,3,8,7,5,4,1] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,8,3,1,7,4,6,5] => [3,2,8,7,6,4,1,5] => [2,6,3,7,8,4,5,1] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[5,8,3,1,7,2,6,4] => [3,8,7,6,5,1,2,4] => [6,3,5,7,8,4,2,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,8,6,3,7,2,5,4] => [1,7,6,5,2,8,3,4] => [1,5,7,8,4,6,3,2] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,2,7,1,5,8,4,3] => [7,6,4,8,1,2,5,3] => [6,7,8,4,3,5,1,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,4,5,6,7,8,9,3,2] => [1,3,9,4,5,6,7,8,2] => [1,4,3,5,6,7,8,9,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,8,5,1,3,2,6,7] => [5,3,1,4,8,2,6,7] => [3,4,2,8,5,1,6,7] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[5,4,3,1,2,7,6,8] => [3,1,4,5,2,7,6,8] => [5,1,3,4,2,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[4,6,1,2,8,3,7,5] => [6,1,8,4,7,2,3,5] => [6,1,4,8,7,5,3,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,1,3,6,7,2,5,8] => [4,7,1,3,2,6,5,8] => [6,4,2,1,3,7,5,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[6,5,3,7,2,4,1,8] => [4,7,5,2,6,3,1,8] => [7,4,5,2,6,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,7,5,8,1,3,6,4] => [8,2,1,6,7,3,5,4] => [2,6,1,8,7,5,3,4] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,2,5,7,8,6,3,4] => [1,2,6,3,5,8,7,4] => [1,2,5,3,7,6,8,4] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,2,5,8,6,4,3,7] => [1,2,4,6,5,8,3,7] => [1,2,5,4,8,6,3,7] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,8,2,3,5,7,6,4] => [1,8,2,6,3,7,5,4] => [1,6,2,8,4,7,3,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,7,2,6,8,5,3,4] => [1,7,5,3,8,2,6,4] => [1,7,8,2,5,4,3,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,2,7,8,4,6,3,5] => [1,2,6,8,3,4,7,5] => [1,2,7,6,4,5,8,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,8,3,6,4,2,5,7] => [1,4,6,8,3,2,5,7] => [1,8,6,4,2,5,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,5,4,8,2] => [6,8,7,5,1,3,4,2] => [7,5,6,8,4,2,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,6,5,2,1,7,4,3] => [2,5,4,6,8,7,1,3] => [6,2,8,4,5,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,7,3,2,1,8,4,6] => [2,3,7,8,5,4,1,6] => [7,2,3,5,8,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,8,1,6,4,7,5,2] => [8,5,3,7,6,1,2,4] => [3,5,8,6,7,4,2,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[6,8,3,1,7,4,5,2] => [3,8,5,7,4,6,2,1] => [7,3,5,6,1,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,3,8,6,7,1,5,2] => [7,5,4,3,1,8,6,2] => [4,5,8,1,3,7,2,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,3,2,4,7,1,6,5] => [7,3,8,2,6,1,4,5] => [6,7,3,1,8,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[7,3,2,8,6,1,5,4] => [6,3,8,5,2,7,1,4] => [5,6,3,8,2,7,4,1] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[4,6,8,7,3,5,1,2] => [5,1,7,4,3,6,8,2] => [5,1,4,6,2,8,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[5,6,8,2,7,4,1,3] => [4,7,2,8,5,6,1,3] => [6,5,1,4,7,8,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,2,5,4,1,3,8,7] => [4,5,2,6,1,3,8,7] => [6,5,1,4,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,4,1,2,3,5,8,7] => [4,1,2,6,3,5,8,7] => [6,1,2,4,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,2,7,4,6,1,8,3] => [6,5,8,7,2,4,1,3] => [7,8,5,6,3,1,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,6,3,1,4,5,7] => [3,6,8,2,4,1,5,7] => [8,6,3,1,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,7,3,1,5,2] => [3,7,5,8,2,4,6,1] => [8,3,7,5,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,3,4,1,5,2] => [4,5,8,3,1,7,6,2] => [7,5,4,1,3,8,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,6,8,5,1,2,7,3] => [5,1,8,4,7,6,3,2] => [5,1,4,7,6,8,2,3] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[7,2,4,6,3,5,8,1] => [8,7,6,2,3,4,5,1] => [6,7,8,2,3,4,1,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[3,7,2,4,1,8,5,6] => [4,7,3,2,8,5,1,6] => [4,3,8,1,7,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,5,6,1,2,7,3,4] => [6,1,7,3,8,5,2,4] => [8,1,7,2,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,1,8,4,7,5] => [3,2,6,8,7,1,4,5] => [2,8,3,6,7,5,4,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,8,5,2,7] => [4,5,1,3,8,6,2,7] => [6,4,2,1,5,8,3,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[2,5,3,1,6,7,8,4] => [3,2,5,8,1,6,7,4] => [2,6,3,5,4,7,8,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,8,5,3,2,4,6,7] => [1,3,5,2,8,4,6,7] => [1,8,3,2,5,4,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,8,3,4,2,5,7] => [1,4,8,3,2,6,5,7] => [1,6,4,2,3,8,5,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,8,7,5,3,4,2,6] => [1,4,5,3,7,2,8,6] => [1,8,4,2,5,3,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,8,5,3,4,2,6] => [1,4,5,3,8,2,7,6] => [1,7,4,2,5,3,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,7,6,8,4,2,3,5] => [1,4,2,8,3,7,6,5] => [1,7,2,4,3,8,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,7,8,6,4,3,2,5] => [1,3,4,6,2,8,7,5] => [1,7,3,4,2,6,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[10,9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,10,8] => [10,2,1,3,4,5,6,7,9,8] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,1,4,2,7,6,5,8] => [3,4,1,2,6,7,5,8] => [4,3,2,1,7,6,5,8] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[2,8,3,1,7,5,6,4] => [3,2,8,6,7,5,1,4] => [2,6,3,8,7,1,5,4] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,3,1,6,5,8,4] => [3,7,2,8,6,1,5,4] => [7,3,1,6,8,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,6,2,5,4,1,8,3] => [4,5,6,7,1,8,2,3] => [8,7,5,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,1,8,2,3,7] => [4,5,2,6,8,1,3,7] => [8,6,1,4,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,3,4,7,6,5] => [2,8,1,3,6,7,4,5] => [6,2,1,3,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,4,1,5,3,7,2,8] => [4,6,7,5,2,1,3,8] => [7,5,4,6,2,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,4,2,6,7,8,3,1] => [3,8,4,5,1,6,7,2] => [6,3,4,5,2,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[4,7,5,3,8,2,6,1] => [6,8,5,4,7,2,3,1] => [5,4,7,8,6,2,1,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,6,3,2,7,1,8,5] => [7,3,6,4,8,2,1,5] => [3,7,4,8,6,2,5,1] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[2,6,4,7,8,5,3,1] => [3,2,5,8,6,1,7,4] => [2,7,3,5,6,4,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,6,8,4,5,7,2,3] => [1,7,2,8,4,6,5,3] => [1,7,2,6,3,8,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,8,4,5,7,3,2] => [1,3,7,8,4,6,5,2] => [1,7,3,6,2,8,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,1,3,8,4,5,7,2] => [6,7,1,8,4,3,5,2] => [8,7,2,6,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,8,4,6,7,3] => [5,2,7,8,1,4,6,3] => [2,8,7,5,4,1,3,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,8,4,6,7,3] => [1,2,7,8,5,4,6,3] => [1,2,7,5,8,3,4,6] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[5,3,4,8,2,1,6,7] => [2,8,5,3,4,1,6,7] => [5,2,8,1,3,4,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,2,8,4,6,7,1,3] => [7,5,1,8,2,4,6,3] => [7,8,2,5,4,1,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,2,8,1,4,6,3,7] => [8,5,6,1,2,4,3,7] => [5,8,6,3,4,1,2,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,5,8,3,4,2,1,7] => [2,4,8,3,6,5,1,7] => [6,2,4,1,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,3,5,8,4,6,7,2] => [1,7,3,8,5,4,6,2] => [1,3,7,5,8,2,4,6] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[3,2,5,8,4,6,7,1] => [7,3,2,8,5,4,6,1] => [3,7,1,5,8,2,4,6] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[3,4,5,8,2,1,6,7] => [2,8,3,4,5,1,6,7] => [3,2,4,5,8,1,6,7] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[3,4,8,2,7,1,5,6] => [7,8,3,4,1,5,2,6] => [4,3,7,8,2,1,6,5] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[7,2,6,1,4,8,3,5] => [6,7,8,1,3,2,4,5] => [8,7,6,3,2,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,3,4,5,1,6] => [5,7,8,3,4,1,2,6] => [8,7,5,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,1,4,2,3,5] => [8,4,2,1,3,7,6,5] => [4,7,1,3,2,8,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[7,1,5,2,4,8,6,3] => [7,5,6,2,1,8,4,3] => [5,8,7,2,4,6,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,5,8,7,4] => [3,6,1,7,2,5,8,4] => [8,3,2,6,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,7,2,3,6,8] => [4,5,1,7,2,3,6,8] => [7,5,2,4,3,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,7,6,8,3,4,5,1] => [5,2,8,3,4,7,6,1] => [2,7,5,1,3,8,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,7,8,3,4,5,1] => [5,2,8,3,4,6,7,1] => [2,6,5,1,3,7,8,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[2,4,3,7,8,5,6,1] => [6,2,4,3,8,5,7,1] => [2,4,7,1,6,3,8,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[3,8,1,2,7,4,6,5] => [8,1,3,7,6,4,2,5] => [3,1,6,7,8,4,5,2] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[6,1,5,3,8,2,4,7] => [6,8,5,2,1,3,4,7] => [6,5,8,2,4,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,2,4,8,6,1,7,5] => [6,3,2,4,8,7,5,1] => [3,4,1,8,6,7,2,5] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[2,1,3,8,4,5,7,6] => [2,1,3,8,4,7,5,6] => [2,1,3,7,4,8,6,5] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[2,1,6,3,8,7,4,5] => [2,1,6,7,4,3,8,5] => [2,1,8,6,3,5,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,8,4,7,6,5] => [2,1,3,8,6,7,4,5] => [2,1,3,6,8,7,5,4] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[4,6,7,2,3,8,1,5] => [8,7,2,4,1,6,3,5] => [4,6,1,7,3,8,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[3,2,6,5,7,8,1,4] => [8,3,2,1,6,5,7,4] => [3,6,1,2,7,4,8,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[7,3,2,4,5,8,1,6] => [8,3,7,2,4,1,5,6] => [3,8,7,1,2,5,6,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,8,6,7,3,4] => [2,1,7,3,5,8,6,4] => [2,1,5,3,8,7,4,6] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[2,7,1,8,4,3,6,5] => [7,2,4,8,6,3,1,5] => [2,6,7,4,8,3,5,1] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[2,6,1,8,7,3,4,5] => [6,2,7,3,4,1,8,5] => [2,8,6,1,3,5,7,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,8,7,4,6,5,3] => [2,1,5,6,7,3,8,4] => [2,1,8,6,5,4,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,7,8,3,5,6,4] => [2,1,8,6,3,5,7,4] => [2,1,6,7,4,3,8,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[5,2,7,4,6,3,8,1] => [8,5,6,7,2,4,3,1] => [5,8,7,6,3,1,2,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,4,6,8,5,7,2,3] => [1,7,2,4,8,6,5,3] => [1,4,2,7,6,8,3,5] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[8,3,5,7,6,4,1,2] => [4,1,6,7,3,8,5,2] => [8,1,7,4,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,1,6,4,3,7] => [5,2,4,8,6,3,1,7] => [2,5,8,4,6,1,3,7] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,3,5,4,7,6,1,2] => [6,1,7,5,2,8,4,3] => [7,1,5,8,4,6,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,2,1,7,5,8,6,3] => [2,4,6,1,8,7,3,5] => [8,2,4,3,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,1,4,8,2,3] => [7,8,2,1,6,5,4,3] => [7,6,1,3,8,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,7,5,4,2,6,8,1] => [8,4,3,5,7,2,6,1] => [3,4,8,5,7,1,2,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[8,4,1,6,5,3,7,2] => [4,8,7,5,6,2,1,3] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,5,6,3,1,7] => [3,6,8,4,1,5,2,7] => [6,4,3,8,2,1,5,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,1,5,4,2,3,8,7] => [6,4,2,5,1,3,8,7] => [4,6,1,5,3,2,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[8,1,6,3,5,2,4,7] => [8,5,6,2,3,1,4,7] => [5,8,6,2,3,4,1,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,6,5,2,1,8,3,7] => [2,5,6,4,8,3,1,7] => [6,2,4,8,5,1,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,8,2,1,5,3,4,7] => [2,8,5,3,1,6,4,7] => [5,2,6,1,4,8,3,7] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[2,5,3,8,6,7,4,1] => [4,2,7,5,1,8,6,3] => [2,8,4,5,3,7,1,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,8,1,6,2,3] => [8,6,2,7,4,1,5,3] => [6,8,1,7,2,5,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,1,8,4,6,7,3,2] => [5,3,7,8,1,4,6,2] => [7,8,3,5,4,1,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,7,6,2,3,4,8,5] => [1,6,2,3,7,8,5,4] => [1,8,2,3,7,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,3,1,2,7,4,6] => [3,1,5,8,7,2,4,6] => [8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,7,1,2,4,5] => [7,1,3,2,4,8,6,5] => [3,1,8,2,4,7,5,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[5,3,8,4,7,1,2,6] => [7,1,5,8,3,2,4,6] => [7,1,8,5,3,4,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,3,6,5,8,1,2,7] => [8,1,4,3,6,5,2,7] => [4,1,6,2,8,3,5,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[3,5,4,8,1,2,6,7] => [8,1,3,5,4,2,6,7] => [3,1,5,8,2,4,6,7] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[4,7,2,8,6,1,3,5] => [6,8,2,4,3,7,1,5] => [6,4,1,8,2,7,5,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,2,8,7,6,1,3,5] => [6,4,1,2,3,7,8,5] => [4,8,2,3,1,6,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,1,4,6,5,7,2,3] => [8,7,2,1,6,4,5,3] => [6,7,1,3,8,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[8,1,7,5,6,4,2,3] => [8,4,2,6,7,5,1,3] => [4,8,1,6,7,2,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,8,1,5,2,6,4,3] => [8,5,4,6,1,2,7,3] => [4,6,7,5,3,2,8,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[8,3,6,7,4,2,1,5] => [2,4,7,8,3,1,6,5] => [8,2,7,4,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,6,8,1,5,4] => [8,7,2,5,1,3,6,4] => [5,7,1,8,4,3,2,6] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[2,6,3,7,8,1,4,5] => [8,2,6,1,4,3,7,5] => [2,6,7,3,1,5,8,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,3,8,7,2,1,5,4] => [2,7,6,5,1,3,8,4] => [5,2,6,8,4,3,7,1] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[7,2,5,6,3,4,8,1] => [8,7,6,3,2,5,4,1] => [6,7,8,1,3,2,4,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,3,8,4,7,2,5,1] => [5,7,6,8,2,3,4,1] => [8,6,7,5,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,2,8,1,6,3] => [8,5,6,7,4,1,2,3] => [5,8,7,6,1,4,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,8,1,6,3] => [8,4,5,7,6,1,2,3] => [4,8,6,5,7,3,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,8,4,5,1] => [5,3,6,7,2,8,4,1] => [7,8,3,5,2,6,1,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,2,3,6,8,4,5,1] => [5,7,2,8,4,3,6,1] => [8,7,1,5,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,4,8,3,6,1] => [6,7,8,5,2,3,4,1] => [7,6,5,8,3,2,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,4,5,2,8,3,6,1] => [6,5,8,7,4,3,2,1] => [7,8,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,1,6,7,4,5,2,8] => [3,5,1,7,4,6,2,8] => [6,3,2,5,1,7,4,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[3,1,5,4,7,6,2,8] => [3,6,1,5,4,7,2,8] => [5,3,2,7,1,6,4,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[5,1,3,2,4,6,8,7] => [5,3,1,2,4,6,8,7] => [3,5,2,1,4,6,8,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[6,4,2,5,7,3,8,1] => [8,4,6,7,3,5,2,1] => [4,8,7,6,1,2,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,3,8,7,1] => [7,5,4,2,6,3,8,1] => [4,5,8,2,6,1,7,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[6,4,5,3,8,1,2,7] => [8,1,5,6,4,3,2,7] => [5,1,8,6,2,3,4,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,7,2,6,5,3,8,1] => [8,7,5,4,6,2,3,1] => [4,5,6,8,7,2,1,3] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[2,8,3,7,6,1,5,4] => [6,2,7,5,3,8,1,4] => [2,7,5,8,3,6,4,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,4,2,6,8,7,3,1] => [3,7,4,5,1,6,8,2] => [6,3,4,5,2,8,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,7,2,5,8,6,4,1] => [4,6,3,8,2,7,5,1] => [6,3,8,4,1,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,2,3,5,8,6,4,1] => [4,6,2,8,3,7,5,1] => [8,6,1,4,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,7,6,1,5,3] => [6,2,5,4,1,7,8,3] => [2,4,5,8,3,6,7,1] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[8,3,1,4,7,6,5,2] => [3,8,5,2,6,7,4,1] => [8,3,5,1,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,7,4,6,5,1] => [5,3,2,6,7,1,8,4] => [3,8,1,6,5,4,7,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,8,3,7,6,1] => [6,4,5,7,3,8,1,2] => [5,8,7,4,1,6,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,8,1,7,4,6,5,2] => [8,5,3,6,7,2,1,4] => [3,5,8,7,6,2,4,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[8,6,1,2,4,5,3,7] => [6,1,5,2,4,8,3,7] => [5,1,8,3,2,6,4,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,8,5,2,7,6,3,1] => [3,6,5,4,7,8,2,1] => [7,3,4,8,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,8,2,7,4,1,6,5] => [4,7,3,8,6,2,1,5] => [6,3,7,4,8,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,4,8,6,2,5,7,3] => [1,6,8,4,3,7,5,2] => [1,6,4,8,2,7,3,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[5,3,8,1,6,4,7,2] => [8,7,5,6,3,1,4,2] => [5,6,8,7,2,4,1,3] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[3,5,8,1,6,4,7,2] => [8,7,3,6,5,1,4,2] => [3,5,6,7,8,4,1,2] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[4,8,5,1,7,6,3,2] => [5,3,8,4,6,7,2,1] => [4,5,3,8,6,7,1,2] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[5,8,1,7,6,2,3,4] => [8,6,2,3,5,7,1,4] => [5,6,1,2,8,7,4,3] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[3,1,8,5,6,4,7,2] => [3,7,1,6,8,5,4,2] => [7,3,2,8,6,1,4,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,4,8,6,5,2,3,7] => [1,5,2,4,6,8,3,7] => [1,4,2,8,5,6,3,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[7,6,2,8,5,4,3,1] => [3,4,5,8,6,7,1,2] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,2,6,8,3,4] => [1,5,7,2,8,3,6,4] => [1,8,7,3,5,4,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,1,6,2,4,8] => [7,6,3,2,5,1,4,8] => [3,5,6,1,7,4,2,8] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[4,5,6,1,3,8,7,2] => [6,7,1,4,5,3,8,2] => [5,4,2,6,8,1,7,3] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[5,2,1,7,6,4,3,8] => [2,5,4,6,1,7,3,8] => [5,2,7,4,3,6,1,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[7,4,8,3,6,5,1,2] => [5,1,6,8,7,4,2,3] => [8,1,7,5,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,8,5,6,1,2] => [6,1,4,7,8,5,3,2] => [7,1,8,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,2,6,8,5,7,1,3] => [7,4,1,2,8,6,5,3] => [4,7,2,3,6,8,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,5,4,3,8,7,2,6] => [1,7,4,5,3,2,8,6] => [1,4,8,5,2,3,7,6] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,5,6,2,4,7,8,1] => [8,6,3,2,5,4,7,1] => [3,5,6,1,7,2,8,4] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[3,5,6,7,2,4,8,1] => [8,7,3,2,5,6,4,1] => [3,5,6,1,7,8,2,4] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[3,5,7,6,8,2,4,1] => [4,8,3,2,5,7,6,1] => [4,3,5,1,7,8,2,6] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[3,5,7,2,6,8,4,1] => [4,8,3,7,5,1,6,2] => [4,3,7,5,8,2,1,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[3,5,7,4,2,6,8,1] => [8,4,3,7,5,2,6,1] => [3,4,7,5,8,1,2,6] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[3,5,4,7,2,6,8,1] => [8,7,3,5,4,2,6,1] => [3,5,7,8,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[3,4,5,7,2,8,6,1] => [6,8,3,4,5,7,1,2] => [4,3,5,6,8,7,2,1] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[3,2,5,7,4,8,6,1] => [6,3,2,8,5,7,1,4] => [3,6,1,5,8,7,4,2] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[2,3,5,7,8,4,6,1] => [6,2,3,8,5,4,7,1] => [2,3,6,5,7,1,8,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[3,5,7,8,2,6,4,1] => [4,6,3,8,5,1,7,2] => [5,3,6,4,7,2,8,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[4,2,5,6,7,3,8,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[5,1,6,4,8,2,3,7] => [5,8,2,6,1,4,3,7] => [8,5,1,6,4,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,3,5,2,6,7] => [4,8,2,5,3,1,6,7] => [8,4,1,5,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,4,6,8,1,5] => [8,3,7,2,1,4,6,5] => [3,8,7,1,4,5,2,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,7,3,8,2,6] => [1,8,7,4,5,2,3,6] => [1,4,5,7,8,3,6,2] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[3,5,6,8,2,1,4,7] => [2,8,3,1,5,6,4,7] => [3,2,5,1,6,8,4,7] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[5,4,8,2,3,1,7,6] => [3,8,2,5,4,7,1,6] => [5,3,1,7,2,8,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,6,7,5,1,8,3,2] => [5,3,7,4,8,6,2,1] => [4,6,3,7,5,8,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,7,3,6,5,8,2,4] => [1,8,7,2,6,3,5,4] => [1,6,7,3,8,5,2,4] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[7,5,3,8,6,2,1,4] => [2,6,5,3,8,7,1,4] => [6,2,8,1,5,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,8,7,2,4,3,1,6] => [3,4,7,1,5,2,8,6] => [5,4,3,2,8,1,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[7,2,6,8,4,5,1,3] => [5,7,1,8,4,2,6,3] => [8,7,2,5,1,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,1,6,8,2,3] => [7,8,2,5,4,1,6,3] => [7,5,1,8,2,4,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,3,1,6,5,2,8,7] => [3,4,5,2,6,1,8,7] => [6,4,3,1,5,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,3,6,7,4,5,1,8] => [5,2,3,7,4,6,1,8] => [2,3,6,5,1,7,4,8] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[8,2,5,6,3,1,4,7] => [3,6,8,2,1,5,4,7] => [8,6,3,1,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,4,3,5,6,7] => [2,8,4,1,3,5,6,7] => [4,2,8,3,1,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,2,5,8,3,4,1,7] => [4,6,8,3,2,5,1,7] => [8,6,4,1,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,3,5,2,8,7] => [4,6,2,5,3,1,8,7] => [6,4,1,5,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,6,1,4,5,8,2,3] => [6,7,1,2,4,8,5,3] => [8,7,2,3,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,4,2,5,6,7] => [8,4,1,3,2,5,6,7] => [4,8,2,1,3,5,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,8,4,3,7,1] => [7,5,4,6,8,3,2,1] => [4,7,8,6,5,1,2,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,5,8,3,4,2,1,6] => [2,4,8,3,7,1,5,6] => [7,2,4,1,8,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,2,8,6,3,7,4] => [5,1,6,8,2,7,4,3] => [8,1,6,5,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,7,2,4,3,8] => [6,7,4,2,1,5,3,8] => [6,4,7,2,3,1,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[6,1,5,7,8,4,2,3] => [6,4,2,8,1,5,7,3] => [6,7,1,4,3,2,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,6,1,5,7,2,8,3] => [6,7,8,4,1,5,2,3] => [7,6,4,8,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,5,8,4,6,3,7,1] => [7,2,6,8,5,4,3,1] => [2,6,7,5,8,1,3,4] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[4,8,3,6,7,5,2,1] => [2,5,7,4,8,1,6,3] => [7,2,4,8,5,3,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,3,7,1,2,6,8,5] => [7,1,4,3,8,2,6,5] => [4,1,8,2,7,5,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,6,2,1,3,8,4,7] => [2,6,1,8,5,3,4,7] => [6,2,1,5,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,1,4,8,2,5,3,6] => [7,8,5,1,2,3,4,6] => [7,5,8,3,4,2,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,4,7,2,5,8,1] => [8,7,6,3,2,4,5,1] => [6,7,8,1,3,4,2,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[3,5,8,6,7,2,4,1] => [4,7,3,2,5,8,6,1] => [4,3,5,1,8,7,2,6] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[2,5,6,8,3,7,4,1] => [4,2,7,8,5,6,1,3] => [2,6,5,4,7,8,3,1] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,6,2,7,4,8,3,1] => [3,8,6,7,5,1,4,2] => [7,3,5,6,8,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,7,3,2,4,8,6,5] => [1,3,7,2,6,8,4,5] => [1,7,3,2,8,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,3,1,8,2,6,7,5] => [3,4,8,2,7,1,6,5] => [7,4,3,1,8,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,5,3,8,1,4,7,6] => [8,2,5,1,3,7,4,6] => [2,5,7,3,4,8,6,1] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[8,1,2,4,3,5,7,6] => [8,1,4,2,3,7,5,6] => [4,1,7,3,2,8,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[2,4,3,8,1,5,7,6] => [8,2,4,3,1,7,5,6] => [2,4,7,1,3,8,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[8,7,3,2,5,6,4,1] => [4,3,6,7,1,5,8,2] => [6,8,3,4,2,1,7,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,1,8,2,6,5,4,7] => [3,8,1,5,6,2,4,7] => [5,3,2,8,6,4,1,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,3,8,4,1,5,7,6] => [4,2,3,8,1,7,5,6] => [2,3,7,4,1,8,6,5] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[7,1,6,2,4,8,3,5] => [7,6,8,2,3,1,4,5] => [7,8,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,7,8,1,4,3,6,5] => [8,2,4,1,6,3,7,5] => [2,4,6,3,7,5,8,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[5,7,2,8,4,1,6,3] => [4,8,7,6,5,2,3,1] => [7,4,5,6,8,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,5,1,8,4,6,3,2] => [5,3,7,6,8,1,2,4] => [6,8,3,7,5,4,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,2,5,3,6,4,8,1] => [8,7,5,6,2,3,4,1] => [5,6,8,7,3,2,1,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[7,4,5,1,8,6,3,2] => [5,3,6,8,2,7,1,4] => [6,8,3,5,2,7,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,4,8,6,1,5,3,7] => [6,2,5,4,1,8,3,7] => [2,4,5,8,3,6,1,7] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[3,5,4,1,8,6,7,2] => [4,5,3,7,2,8,6,1] => [5,3,8,4,1,7,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,5,1,6,7,4,3,2] => [5,3,4,8,7,2,6,1] => [3,8,5,4,7,1,2,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,8,6,5,1,4,3] => [5,2,4,1,6,8,7,3] => [2,4,7,3,5,6,8,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[2,4,5,8,6,1,7,3] => [6,2,8,4,5,7,3,1] => [2,5,4,6,8,7,1,3] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[7,3,6,2,5,4,8,1] => [8,6,7,5,2,3,4,1] => [5,7,6,8,3,2,1,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[7,1,8,5,6,4,3,2] => [7,3,4,6,8,5,1,2] => [3,8,4,7,6,1,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,1,5,7,4,3,2] => [8,3,4,7,1,6,5,2] => [3,7,4,6,2,8,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[8,6,1,5,7,4,3,2] => [6,3,4,8,2,7,5,1] => [3,8,6,4,1,7,2,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,8,1,6,4,3,2] => [8,3,4,6,5,1,7,2] => [3,6,4,5,7,2,8,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,6,2,3,5,8,4,7] => [1,6,2,8,3,5,4,7] => [1,8,2,6,4,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,4,8,5,3,6] => [7,1,5,2,8,3,4,6] => [7,1,8,3,5,4,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,6,8,4,5,1,7,3] => [5,2,7,8,4,6,1,3] => [2,7,6,5,1,8,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[5,3,6,4,2,1,8,7] => [2,4,6,5,1,3,8,7] => [6,2,4,5,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[6,5,7,4,1,8,3,2] => [4,3,7,8,6,5,2,1] => [6,7,3,4,8,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[6,1,7,4,5,2,8,3] => [6,5,8,7,4,1,2,3] => [7,8,5,6,1,4,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,3,2,1,7,8,4,6] => [2,3,5,8,1,4,7,6] => [7,2,3,5,4,1,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,1,5,7,8,3,6,2] => [4,6,8,1,5,3,7,2] => [6,5,4,3,7,1,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[3,7,6,1,4,5,8,2] => [6,7,3,2,4,8,5,1] => [7,3,8,1,2,6,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,3,8,6,4,2,7,1] => [7,4,6,5,2,8,3,1] => [4,8,5,7,2,6,1,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,4,1,3,6,7,2,5] => [4,8,2,7,1,3,6,5] => [8,4,1,7,3,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,3,8,4,7,2] => [1,7,5,6,8,4,3,2] => [1,6,8,7,5,2,3,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,2,5,3,4,8,1,7] => [8,6,5,3,2,4,1,7] => [5,6,8,1,3,2,4,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,2,5,3,4,8,7,1] => [7,6,5,3,2,4,8,1] => [5,6,8,1,3,2,7,4] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[3,6,5,4,8,1,2,7] => [8,1,3,5,6,4,2,7] => [3,1,5,8,6,2,4,7] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[3,5,2,4,8,7,6,1] => [6,5,3,2,4,7,8,1] => [3,5,8,1,2,6,7,4] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[2,4,6,1,5,7,8,3] => [6,2,8,4,1,5,7,3] => [2,6,4,7,3,1,8,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[2,6,3,1,5,7,8,4] => [3,2,6,8,1,5,7,4] => [2,7,3,6,4,1,8,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,5,3,6,8,4,1,7] => [4,2,8,5,1,6,3,7] => [2,6,4,5,3,8,1,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[2,5,3,6,4,1,8,7] => [4,2,6,5,1,3,8,7] => [2,6,4,5,3,1,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[4,6,2,5,1,7,8,3] => [5,6,8,4,2,1,7,3] => [6,5,4,7,2,3,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[6,2,5,3,1,7,8,4] => [3,5,6,8,1,2,7,4] => [7,6,3,5,4,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,6,3,1,7,5,8,4] => [3,2,6,8,7,1,5,4] => [2,8,3,6,7,5,1,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,5,8,4,1,7] => [4,2,3,8,6,5,1,7] => [2,3,6,4,8,1,5,7] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[4,7,5,1,3,2,8,6] => [5,3,1,4,7,8,2,6] => [3,4,2,8,5,7,6,1] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[2,8,6,3,7,4,1,5] => [4,2,7,6,3,8,1,5] => [2,8,4,7,1,6,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,8,7,4,1,5] => [4,2,7,6,3,1,8,5] => [2,8,4,6,1,5,7,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,8,3,1,6,5,4] => [3,2,8,5,6,1,7,4] => [2,5,3,7,6,4,8,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[7,4,8,2,5,1,6,3] => [5,8,6,7,2,1,4,3] => [8,5,7,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,3,1,6,4,8] => [3,5,2,7,6,4,1,8] => [7,3,1,5,6,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,8,3,6,4,2,7,5] => [1,4,6,8,7,2,3,5] => [1,8,6,4,7,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,4,8,5,3,6] => [2,1,5,8,7,4,3,6] => [2,1,8,5,7,3,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,7,3,8,4,1,5,6] => [4,2,8,7,3,5,1,6] => [2,8,4,7,1,3,6,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,4,2,6,8,7] => [3,5,4,2,1,6,8,7] => [5,3,4,1,2,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[8,2,1,7,3,6,4,5] => [2,8,7,6,4,3,1,5] => [6,2,7,8,1,4,5,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,2,7,5,1,3,6,8] => [5,4,1,2,7,3,6,8] => [4,7,2,3,5,1,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[4,2,8,1,3,6,7,5] => [8,4,1,2,7,3,6,5] => [4,7,2,3,8,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,1,3,6,4,2,5,8] => [7,4,1,6,2,3,5,8] => [4,7,2,6,3,5,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[8,1,2,5,7,4,6,3] => [8,1,6,7,2,4,5,3] => [6,1,8,7,4,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,7,4,6,3,5,8,2] => [1,8,6,7,3,4,5,2] => [1,6,8,7,3,4,2,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[7,1,3,6,2,5,8,4] => [7,6,1,8,2,3,5,4] => [7,8,2,6,4,5,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,2,7,1,4,8,3,6] => [7,5,8,1,2,3,4,6] => [7,8,5,3,4,2,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,2,7,3,6,1,4,8] => [6,5,7,1,2,3,4,8] => [6,7,5,3,4,2,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[7,4,6,3,1,2,5,8] => [3,1,6,7,2,4,5,8] => [7,1,3,6,4,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,4,8,3,1,2,5,7] => [3,1,8,6,2,4,5,7] => [6,1,3,8,4,5,2,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,4,1,3,7,2,5,8] => [4,6,2,7,1,3,5,8] => [7,6,1,4,3,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,4,1,3,8,2,5,7] => [4,6,2,8,1,3,5,7] => [8,6,1,4,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,1,2,5,8,3] => [6,1,8,7,2,4,5,3] => [8,1,6,7,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,8,2,5,7,4] => [6,8,1,7,2,3,5,4] => [8,6,2,7,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,3,6,1,4,8] => [6,7,5,1,2,3,4,8] => [6,5,7,3,4,2,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[8,2,5,3,6,1,4,7] => [6,8,5,1,2,3,4,7] => [6,5,8,3,4,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,4,7,1,2,5,8,3] => [7,1,8,6,2,4,5,3] => [7,1,6,8,4,3,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,8,1,2,5,7,3] => [8,1,7,6,2,4,5,3] => [6,1,7,8,4,3,2,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[5,7,3,1,6,2,4,8] => [3,7,6,1,5,2,4,8] => [6,3,5,2,7,4,1,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[4,7,8,3,6,5,1,2] => [5,1,6,4,8,2,7,3] => [6,1,4,7,5,3,8,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[5,2,4,8,3,7,1,6] => [7,5,8,2,4,1,3,6] => [7,8,5,2,1,4,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,6,1,5,7,8,2,3] => [6,8,2,4,1,5,7,3] => [6,4,1,7,3,2,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[3,7,5,1,4,6,2,8] => [5,7,3,2,6,4,1,8] => [5,3,7,1,6,2,4,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[7,8,5,2,3,1,6,4] => [3,5,2,8,6,4,7,1] => [7,3,1,5,6,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,8,7,4,1,5,2,3] => [4,7,1,5,2,6,8,3] => [6,4,2,5,3,8,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[8,7,4,1,3,6,2,5] => [4,7,2,6,1,3,8,5] => [8,4,1,6,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,5,7,1,8,3] => [7,2,8,4,6,5,1,3] => [2,6,4,7,8,1,5,3] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,6,2,7,5,3,8,1] => [8,6,5,4,7,2,3,1] => [4,5,7,8,6,2,1,3] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[6,7,4,5,2,8,3,1] => [3,8,5,7,4,6,1,2] => [7,3,5,6,1,8,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,1,8,6,5,2,4,7] => [3,5,1,2,6,8,4,7] => [8,3,2,1,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,2,3,6,7,4] => [8,5,2,7,1,3,6,4] => [5,8,1,7,4,3,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,7,1,3,2,4,5] => [7,3,1,2,4,8,6,5] => [3,8,2,1,4,7,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,3,6,8,4] => [5,1,2,7,8,4,6,3] => [8,1,2,7,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,7,1,3,4,5] => [7,6,1,3,4,2,8,5] => [6,8,2,1,3,5,7,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,7,1,2,3,8,5,4] => [7,1,2,5,8,6,3,4] => [6,1,2,7,5,8,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[7,8,5,1,2,3,6,4] => [5,1,2,8,6,4,7,3] => [7,1,2,5,6,3,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,4,1,3,6,8,5,2] => [4,7,2,5,8,3,6,1] => [8,4,1,7,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,3,2,6,5,4] => [7,3,8,5,6,2,1,4] => [5,6,3,8,7,2,4,1] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[7,3,4,2,5,1,8,6] => [5,4,7,3,2,8,1,6] => [5,8,4,1,2,7,6,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,5,8,7,3] => [2,6,7,1,4,5,8,3] => [8,2,6,3,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,5,7,1,4,2] => [7,4,6,1,8,3,5,2] => [4,8,7,3,6,2,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,8,3,1,4,6,5,7] => [3,2,8,1,6,4,5,7] => [2,6,3,1,8,5,4,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[4,5,7,6,1,3,8,2] => [6,7,2,4,5,8,3,1] => [5,4,1,7,8,6,2,3] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,6,7,5,1,3,2,8] => [5,3,1,4,7,6,2,8] => [3,4,2,6,5,7,1,8] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[5,8,7,2,3,1,4,6] => [3,7,2,1,5,4,8,6] => [5,3,1,2,8,4,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[4,7,8,1,5,3,6,2] => [8,6,5,4,1,3,7,2] => [4,5,6,7,3,1,8,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[4,3,1,7,6,5,2,8] => [3,4,5,2,6,7,1,8] => [7,4,3,1,5,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,4,3,6,8,2,1,5] => [2,8,4,7,1,3,6,5] => [4,2,8,7,3,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,6,5,1,3,8,7,2] => [5,6,2,4,7,3,8,1] => [6,4,1,8,5,2,7,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,3,8,1,4,2,6,7] => [8,4,5,1,3,2,6,7] => [4,8,5,3,1,2,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,1,8,3,7,6] => [5,2,8,4,1,7,3,6] => [2,5,4,7,3,8,6,1] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[7,2,8,5,3,4,1,6] => [4,7,5,3,8,1,2,6] => [8,4,7,1,5,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,3,1,7,8,2] => [3,5,8,6,4,2,7,1] => [7,5,3,6,1,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,1,8,5,6,7,4,2] => [3,4,1,7,8,5,6,2] => [8,3,2,4,7,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,6,2,8,1,5] => [8,6,4,3,1,7,2,5] => [4,6,8,1,3,7,5,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[5,2,7,6,4,1,8,3] => [4,6,5,7,3,8,1,2] => [8,5,7,4,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,7,8,4,1,2] => [4,1,3,8,6,5,7,2] => [3,1,6,4,7,2,8,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[6,4,3,1,8,5,7,2] => [3,4,6,7,8,1,5,2] => [8,7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,6,4,3,8,5] => [1,2,4,6,7,8,5,3] => [1,2,8,4,7,6,3,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,7,6,8,1,5,3] => [8,2,5,4,1,7,6,3] => [2,4,5,7,3,8,1,6] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,4,7,6,8,5,2,3] => [1,5,2,4,8,7,6,3] => [1,4,2,7,5,8,3,6] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[2,5,6,3,4,1,8,7] => [4,2,6,3,5,1,8,7] => [2,5,4,1,6,3,8,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[4,6,7,2,3,8,5,1] => [5,8,1,4,7,6,3,2] => [5,4,2,7,6,8,1,3] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[2,3,7,8,4,5,1,6] => [5,2,3,8,4,1,7,6] => [2,3,7,5,1,4,8,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[5,6,4,1,8,3,7,2] => [4,6,7,8,5,2,1,3] => [7,6,5,4,8,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,7,4,1,8,6,2,3] => [4,7,1,6,5,8,2,3] => [7,4,2,5,8,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,3,5,8,1,7,4,6] => [8,2,3,7,5,4,1,6] => [2,3,5,7,8,1,6,4] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[8,6,1,5,7,4,2,3] => [6,4,1,8,2,7,5,3] => [6,8,2,4,3,7,1,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,8,4,5,7,3,6,2] => [1,6,7,8,4,3,5,2] => [1,8,7,6,2,4,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,5,8,3,6,2] => [1,6,8,7,4,3,5,2] => [1,8,6,7,2,4,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,8,5,2,4] => [6,5,8,3,7,2,1,4] => [7,8,5,1,6,3,4,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,5,7,8,3,4,1,6] => [4,2,8,3,5,1,7,6] => [2,5,4,1,7,3,8,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[2,5,8,1,3,7,4,6] => [8,2,1,7,5,4,3,6] => [2,5,1,7,8,3,6,4] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[2,8,5,6,3,4,1,7] => [4,2,6,3,8,5,1,7] => [2,8,4,1,6,3,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,7,8,3,1,4] => [3,8,6,2,5,1,7,4] => [6,3,5,1,7,4,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[7,4,2,8,3,5,6,1] => [6,4,7,8,2,5,3,1] => [7,8,6,4,2,1,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,2,7,8,5,3,4,1] => [4,6,5,3,8,2,7,1] => [7,4,6,1,5,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,2,8,6,3,5,1,7] => [5,4,6,2,3,8,1,7] => [5,8,4,2,1,6,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,8,4,1,2,5,6,3] => [4,1,8,6,3,5,7,2] => [7,1,4,6,2,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,3,8,1,4,5,2] => [8,5,7,1,4,6,3,2] => [5,7,6,3,1,8,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,7,8,4,1,2,5,3] => [4,1,8,5,3,6,7,2] => [6,1,4,5,2,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[2,6,7,8,4,1,5,3] => [4,2,8,5,3,6,7,1] => [2,6,4,5,1,7,8,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[8,5,3,6,4,2,1,7] => [2,4,6,5,8,1,3,7] => [8,2,4,6,5,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,7,4,8,5,6,1] => [6,2,3,7,8,5,4,1] => [2,3,8,7,6,1,4,5] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[7,3,8,5,4,2,6,1] => [6,4,5,8,7,2,3,1] => [5,8,7,4,6,2,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,4,7,8,1,2,5,3] => [8,1,5,6,2,4,7,3] => [5,1,7,6,4,2,8,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[7,5,8,1,2,3,6,4] => [8,1,2,6,7,3,5,4] => [6,1,2,8,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,2,8,7,4,6,5,3] => [1,2,5,6,7,3,8,4] => [1,2,8,6,5,4,7,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[7,2,6,5,3,1,4,8] => [3,5,6,1,7,2,4,8] => [7,6,3,2,5,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,4,1,6,3,8,2] => [4,5,7,8,6,3,2,1] => [8,6,5,4,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,5,2,4,8,6] => [1,5,7,2,3,8,4,6] => [1,8,5,3,4,7,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,3,2,6,8,7] => [5,3,4,1,2,6,8,7] => [3,5,4,2,1,6,8,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,6,8,7,5,2,3,4] => [1,5,2,3,7,6,8,4] => [1,6,2,3,5,8,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[7,2,4,8,5,6,3,1] => [3,6,7,1,8,5,4,2] => [8,7,3,2,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,8,5,2,7] => [6,5,4,3,8,1,2,7] => [4,6,8,1,5,3,2,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,4,8,7,3,6,2,5] => [1,6,7,4,2,3,8,5] => [1,6,4,8,3,5,7,2] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,2,7,3,8,4,9,5,10,6] => [1,2,7,8,9,10,3,4,5,6] => [1,2,10,9,8,7,6,5,4,3] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,6,3,1,8,2] => [3,6,7,4,5,8,1,2] => [5,4,3,7,8,6,2,1] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[3,6,5,1,4,7,8,2] => [5,6,3,2,8,4,7,1] => [6,3,7,1,5,2,8,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[4,6,7,3,1,5,8,2] => [3,7,8,4,2,6,5,1] => [6,4,3,7,1,8,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[5,4,1,8,7,3,6,2] => [4,5,6,7,2,1,8,3] => [8,6,5,4,2,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,1,6,7,4,3] => [8,2,4,7,5,1,6,3] => [2,4,7,5,8,3,1,6] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[6,2,4,7,5,3,1,8] => [3,5,7,2,6,4,1,8] => [7,5,3,1,6,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,2,5,1,8,7,3,4] => [5,6,7,3,2,1,8,4] => [8,6,5,1,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,1,5,8,7,4] => [6,3,2,7,1,5,8,4] => [3,8,1,6,4,2,7,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,8,7,6,4,2,3] => [5,4,2,6,1,7,8,3] => [5,8,1,4,3,6,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,1,4,8,3,7,2,5] => [6,7,8,1,2,4,3,5] => [8,7,6,3,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,6,7,5,1,8] => [5,4,2,3,7,6,1,8] => [4,6,1,2,5,7,3,8] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[6,2,3,5,7,4,1,8] => [4,7,1,6,3,5,2,8] => [7,4,2,6,1,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,2,4,6,3,5,1,8] => [5,7,6,2,3,4,1,8] => [7,5,6,2,3,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,5,3,8,6,2,4,7] => [1,6,5,2,3,8,4,7] => [1,5,8,3,4,6,2,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,1,2,4,7,5,3,6] => [8,1,5,2,7,3,4,6] => [5,1,8,3,7,4,6,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,5,1,2,4,7,3,6] => [5,1,8,3,7,2,4,6] => [8,1,5,2,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,2,4,7,3,6] => [5,8,7,2,1,3,4,6] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,8,4,7,2,5] => [1,7,6,8,2,3,4,5] => [1,7,8,6,4,5,3,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,1,8,3,5,2,4,7] => [6,5,8,2,3,1,4,7] => [6,8,5,2,3,4,1,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,5,2,4,7,3,6] => [8,5,7,2,1,3,4,6] => [5,8,7,2,4,3,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,7,1,4,2,3,6] => [7,4,2,1,8,3,5,6] => [4,8,1,3,7,5,6,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,5,8,1,4,2,3,6] => [8,4,2,1,7,3,5,6] => [4,7,1,3,8,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,1,3,8,6,2,4,7] => [5,6,1,2,3,8,4,7] => [8,5,2,3,4,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,8,5,1,3,6] => [5,8,2,1,7,3,4,6] => [8,5,1,3,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,8,4,7,2,5] => [6,7,1,8,2,3,4,5] => [8,7,2,6,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,7,5,1,3,6] => [5,7,2,1,8,3,4,6] => [8,7,1,3,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,6,5,8,7,9] => [4,1,2,3,6,5,8,7,9] => [4,1,2,3,6,5,8,7,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[4,1,2,3,6,5,8,7,10,9] => [4,1,2,3,6,5,8,7,10,9] => [4,1,2,3,6,5,8,7,10,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,3,1,5,8,7,4,6] => [3,2,1,7,5,4,8,6] => [2,3,1,5,8,4,7,6] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[7,2,4,8,1,6,3,5] => [8,7,6,2,3,1,4,5] => [6,7,8,2,3,5,4,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,5,4,6,7,2,8,3] => [1,7,8,5,4,6,2,3] => [1,6,5,7,2,8,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[3,8,2,4,7,5,6,1] => [6,8,3,2,7,5,4,1] => [6,3,8,1,7,2,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,8,1,4,6,5,7,3] => [8,2,7,1,6,4,5,3] => [2,6,7,3,8,4,1,5] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,2,4,1,5,7,8,3] => [4,6,8,2,1,5,7,3] => [7,6,4,2,3,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,2,1,5,7,6,8,3] => [2,4,8,1,5,7,6,3] => [5,2,4,3,7,8,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[4,3,2,7,6,1,8,5] => [6,3,4,2,7,8,5,1] => [3,8,4,1,7,6,2,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,3,1,8,4] => [3,5,6,7,8,4,1,2] => [8,7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,1,3,5,6,4] => [8,7,1,6,3,5,2,4] => [6,7,2,8,3,1,5,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,2,3,1,8,7,6,4] => [3,5,2,6,1,7,8,4] => [8,3,1,5,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,4,3,5,8,1] => [8,2,4,6,3,7,5,1] => [2,4,8,6,1,7,3,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,7,2,5,3,4,8,1] => [8,7,5,3,2,6,4,1] => [5,6,7,1,3,8,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[5,8,4,1,3,6,7,2] => [4,8,2,7,5,3,6,1] => [7,4,1,5,8,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,2,3,8,1,4,5] => [8,7,2,1,4,6,3,5] => [6,7,1,3,2,8,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[8,2,5,3,7,1,4,6] => [7,8,5,1,2,4,3,6] => [7,5,8,3,4,1,6,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,1,5,8,7,4,6,2] => [3,6,1,7,5,4,8,2] => [6,3,2,5,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,5,3,8,6,4,7,2] => [1,7,5,6,3,8,4,2] => [1,5,8,7,3,6,2,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,7,5,6,2,1,8,3] => [2,6,8,4,7,5,1,3] => [6,2,4,8,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,5,4,7,3,1,8,6] => [3,2,7,5,4,8,1,6] => [2,5,3,8,1,7,6,4] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[7,4,6,8,3,1,2,5] => [3,1,8,7,2,4,6,5] => [7,1,3,8,4,5,2,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,4,1,3,5,7,2,8] => [4,6,2,7,3,5,1,8] => [7,6,1,4,2,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,3,1,4,7,2,6,8] => [3,5,7,2,4,1,6,8] => [7,5,3,1,2,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,5,6,3,4,1,7,8] => [4,2,6,3,5,1,7,8] => [2,5,4,1,6,3,7,8] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[5,4,6,2,1,7,3,8] => [2,6,7,5,4,1,3,8] => [6,2,5,7,1,4,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[5,1,7,3,4,2,6,8] => [5,4,7,3,1,2,6,8] => [5,7,4,1,3,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[6,4,5,1,2,8,7,3] => [5,1,7,6,4,2,8,3] => [8,1,5,6,2,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,7,8,5,1,2] => [5,1,8,2,6,4,7,3] => [7,1,5,3,6,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,8,1,4,2,6,7,3] => [8,4,7,1,5,2,6,3] => [4,7,5,3,8,2,1,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,7,3,4,8,6,2,1] => [2,6,8,1,5,7,4,3] => [6,2,5,3,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,4,1,3,2,7,6,8] => [4,3,1,5,2,7,6,8] => [3,5,2,4,1,7,6,8] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[6,4,3,5,1,8,7,2] => [5,7,4,6,3,1,8,2] => [6,4,8,5,1,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,3,7,1,6,8,4,5] => [7,2,3,8,4,1,6,5] => [2,3,8,7,1,5,4,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,5,6,2,7,8] => [3,4,6,2,5,1,7,8] => [5,4,3,1,6,2,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[2,6,3,8,7,1,4,5] => [7,2,6,1,4,3,8,5] => [2,6,8,3,1,5,7,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,8,7,3,1,2,4,6] => [3,1,7,2,5,4,8,6] => [5,1,3,2,8,4,7,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[2,7,8,1,4,5,3,6] => [8,2,5,1,4,3,7,6] => [2,5,7,3,1,4,8,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[4,1,2,8,7,3,6,5] => [4,1,7,2,6,3,8,5] => [6,1,4,3,8,5,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,5,6,3,8,7,1,4] => [7,2,6,1,5,3,8,4] => [2,5,6,3,8,4,7,1] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[6,1,2,4,3,8,7,5] => [6,1,4,2,7,3,8,5] => [4,1,8,3,6,5,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,7,8,1,2,4,6,5] => [8,1,3,2,6,4,7,5] => [3,1,6,2,7,5,8,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[7,3,4,1,2,6,8,5] => [4,1,7,3,8,2,6,5] => [8,1,4,2,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,3,5,4,1,7] => [4,5,1,6,3,8,2,7] => [8,5,2,4,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,4,5,1,7,3] => [5,8,7,2,4,6,1,3] => [7,5,6,2,1,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,4,3,7,1,5,6,2] => [7,6,4,8,1,5,3,2] => [6,7,8,4,3,1,2,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,3,4,7,2,6,5,1] => [5,6,7,1,8,3,4,2] => [8,7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,1,4,5,6,2] => [7,6,8,1,4,5,3,2] => [7,8,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,4,7,3,1,6,5] => [3,7,8,1,6,2,4,5] => [7,6,3,2,8,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,2,7,6,3,1,4,5] => [3,6,7,1,4,8,2,5] => [8,7,3,2,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,4,7,3,2,5] => [8,3,7,1,2,6,4,5] => [3,7,6,2,4,8,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[8,5,7,2,6,3,1,4] => [3,6,7,2,8,1,5,4] => [8,7,3,1,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,7,3,1,6,4] => [3,7,8,6,5,2,1,4] => [6,5,3,7,8,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[8,4,7,2,3,6,5,1] => [5,6,1,7,8,4,3,2] => [8,7,2,6,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,7,3,6,5,1] => [5,6,8,3,7,1,4,2] => [8,7,5,1,6,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,7,6,4,5,3] => [8,1,5,6,4,7,2,3] => [5,1,8,6,2,7,4,3] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,2,1,8,7,3,6,5] => [2,4,7,1,6,3,8,5] => [6,2,4,3,8,5,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,4,8,5,2,7,6,3] => [1,5,8,4,6,7,3,2] => [1,5,4,8,6,7,2,3] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => [1,6,2,8,4,3,5,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,6,8,4,2,3,5,7] => [1,4,2,8,3,6,5,7] => [1,6,2,4,3,8,5,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,6,7,4,2,3,5,8] => [1,4,2,7,3,6,5,8] => [1,6,2,4,3,7,5,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => [1,7,2,6,4,3,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,5,2,3,7,6,4,8] => [1,5,2,6,3,7,4,8] => [1,7,2,5,4,6,3,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,4,7,6,2,3,5,8] => [1,6,2,4,3,7,5,8] => [1,4,2,7,3,6,5,8] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,8,6,2,3,5,4,7] => [1,6,2,5,3,8,4,7] => [1,5,2,8,4,6,3,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,7,6,2,3,8,4,5] => [1,6,2,7,3,8,4,5] => [1,8,2,7,4,6,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,2,3,5,4,7,6] => [1,8,2,5,3,7,4,6] => [1,5,2,7,4,8,6,3] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[7,3,8,6,2,1,5,4] => [2,6,8,5,3,7,1,4] => [6,2,5,8,3,7,4,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,6,8,1,4,2,5,7] => [8,4,3,1,2,6,5,7] => [3,4,6,2,1,8,5,7] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[5,8,2,7,3,1,4,6] => [3,7,8,2,5,4,1,6] => [7,5,3,1,8,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,2,3,7,4,1,6] => [4,7,1,8,5,2,3,6] => [7,5,2,4,8,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,2,8,3,7,6,1,5] => [6,4,7,2,3,8,1,5] => [7,8,4,2,1,6,5,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,2,4,7,6,3,5] => [8,1,6,2,3,7,4,5] => [6,1,8,3,4,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,4,3,7,6,1,2,5] => [6,1,4,7,3,8,2,5] => [7,1,8,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,3,6,2,8,5,4,7] => [1,6,3,5,8,2,4,7] => [1,3,6,8,5,4,2,7] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[4,3,6,1,8,2,5,7] => [6,8,4,3,2,1,5,7] => [6,4,8,1,2,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,1,3,4,7,2,5,6] => [8,7,1,3,2,5,4,6] => [7,8,2,1,4,3,6,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,7,3,2,5,6,8,4] => [1,3,7,8,2,5,6,4] => [1,8,3,7,4,2,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,1,2,8,6,5] => [7,1,4,3,6,8,2,5] => [4,1,7,2,8,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[5,4,3,7,2,1,8,6] => [2,7,4,5,3,8,1,6] => [4,2,8,5,1,7,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,2,7,5,1,3,8,6] => [5,4,1,2,7,8,3,6] => [4,8,2,3,5,7,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,3,5,8,4] => [2,1,7,8,3,6,5,4] => [2,1,7,6,4,8,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[3,1,7,8,5,2,4,6] => [3,5,1,2,8,4,7,6] => [7,3,2,1,5,4,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,3,6,7,1,4,2,5] => [7,4,8,1,2,3,6,5] => [7,8,4,3,2,5,1,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,5,2,4,3,8,1,7] => [8,5,4,2,6,3,1,7] => [4,5,8,2,6,1,3,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,5,2,4,3,6,1,8] => [6,5,4,2,7,3,1,8] => [4,6,7,2,5,1,3,8] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[7,2,3,8,6,5,1,4] => [5,6,2,1,8,7,3,4] => [8,6,1,3,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,8,4,3,2,7] => [1,3,4,8,5,6,2,7] => [1,5,3,4,6,8,2,7] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[6,3,2,1,5,7,8,4] => [2,3,6,8,1,5,7,4] => [7,2,3,6,4,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,4,8,1,5,6,2,7] => [8,6,3,4,1,5,2,7] => [3,4,6,8,2,1,5,7] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[8,4,1,6,7,3,2,5] => [4,3,8,7,1,2,6,5] => [4,8,3,7,2,5,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,4,8,6,3,7,2,1] => [2,7,6,5,4,8,3,1] => [5,2,7,8,1,6,3,4] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[6,4,5,8,1,3,7,2] => [8,7,1,6,4,5,3,2] => [6,7,2,8,1,3,4,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[2,6,3,1,5,8,4,7] => [3,2,6,8,1,5,4,7] => [2,8,3,6,4,1,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,4,8,6,3,7] => [1,2,6,5,4,8,3,7] => [1,2,5,8,3,6,4,7] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[6,4,5,8,2,1,7,3] => [2,8,7,6,4,5,1,3] => [6,2,7,8,1,3,5,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[3,6,4,5,1,2,8,7] => [5,1,3,6,4,2,8,7] => [3,1,6,5,2,4,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[3,5,4,8,1,6,2,7] => [8,6,3,5,4,1,2,7] => [3,5,6,8,1,4,2,7] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[3,5,4,8,1,6,7,2] => [8,7,3,5,4,1,6,2] => [3,5,7,8,1,4,2,6] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[2,4,3,1,5,8,6,7] => [3,2,4,1,5,8,6,7] => [2,4,3,1,5,8,6,7] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[5,6,1,7,4,3,8,2] => [6,8,4,7,5,1,3,2] => [6,4,7,5,8,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[2,8,3,1,5,7,6,4] => [3,2,8,6,1,7,5,4] => [2,6,3,8,4,7,1,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,2,1,5,6,8,4] => [2,7,3,8,1,5,6,4] => [3,2,8,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[7,4,2,1,5,6,8,3] => [2,4,7,8,3,5,6,1] => [8,2,7,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,7,2,5,4,6] => [8,7,3,5,2,4,1,6] => [3,5,7,8,2,1,6,4] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[5,2,1,4,6,7,3,8] => [2,5,7,1,4,6,3,8] => [6,2,5,3,1,7,4,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[3,1,5,4,6,2,7,8] => [3,6,1,5,4,2,7,8] => [5,3,2,6,1,4,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[8,3,4,1,6,5,7,2] => [4,7,8,3,6,1,5,2] => [7,6,4,1,8,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,4,3,7,8,2,6,5] => [1,8,4,3,6,2,7,5] => [1,4,6,2,7,5,8,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,3,7,8,2,6,4,5] => [1,8,3,6,4,2,7,5] => [1,3,6,7,2,5,8,4] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,5,6,2,8,3,7,4] => [1,6,8,7,5,2,3,4] => [1,7,5,6,8,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,5,3,1,6,2,8,7] => [3,5,6,4,2,1,8,7] => [5,4,3,6,1,2,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[3,1,4,2,8,7,5,6] => [3,4,1,2,7,5,8,6] => [4,3,2,1,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[6,1,3,2,7,4,5,8] => [6,3,1,7,4,2,5,8] => [3,7,2,6,1,5,4,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,2,5,8,3,6,4,1] => [4,6,7,8,3,1,5,2] => [8,7,6,4,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,7,5,8,2,3] => [1,8,2,4,7,6,5,3] => [1,4,2,6,7,8,3,5] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[7,1,3,6,5,8,2,4] => [7,8,1,2,6,3,5,4] => [7,6,2,3,8,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,3,4,6,5,8,2] => [7,8,1,3,6,4,5,2] => [7,6,2,1,8,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,8,6,4,5,2,7,1] => [7,5,3,6,4,8,2,1] => [3,5,8,7,1,6,2,4] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[4,5,8,6,2,3,7,1] => [7,6,2,4,5,8,3,1] => [4,5,1,7,8,6,2,3] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[4,6,8,5,3,7,2,1] => [2,7,5,4,8,6,3,1] => [4,2,6,7,5,8,1,3] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[4,5,7,2,8,6,3,1] => [3,6,8,4,5,7,2,1] => [5,4,3,6,8,7,1,2] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[3,7,4,5,1,6,8,2] => [5,8,3,7,4,1,6,2] => [5,3,8,7,1,4,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,6,8,1,2,5,7,3] => [8,1,7,4,2,6,5,3] => [4,1,6,7,3,8,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[4,6,8,5,1,3,7,2] => [5,8,2,4,7,6,3,1] => [5,4,1,7,6,8,2,3] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,5,1,6,8,3,7,2] => [5,7,8,4,1,6,3,2] => [6,5,4,7,3,8,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,7,4,5,2,6,8,3] => [1,5,8,7,4,2,6,3] => [1,8,5,7,2,4,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,8,5,7,2,6] => [3,4,7,2,8,1,5,6] => [8,4,3,1,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,4,8,1,6,5] => [8,3,7,2,6,1,4,5] => [3,7,6,1,8,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[3,7,2,4,5,8,1,6] => [8,7,3,2,4,1,5,6] => [3,7,8,1,2,5,6,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[3,2,7,4,6,1,8,5] => [6,3,2,7,8,4,1,5] => [3,8,1,7,6,4,5,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,2,4,5,7,1,6] => [7,3,8,2,4,1,5,6] => [7,8,3,1,2,5,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,6,7,2,4,1,8,5] => [4,7,3,2,8,6,1,5] => [4,3,7,1,6,8,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[5,7,1,8,4,3,6,2] => [7,6,4,8,5,3,1,2] => [5,6,7,4,8,1,3,2] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[8,4,6,3,1,5,2,7] => [3,6,5,8,2,4,1,7] => [8,3,6,5,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,5,2,4,7,8] => [6,5,3,2,1,4,7,8] => [3,5,6,1,4,2,7,8] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[3,7,6,2,5,4,1,8] => [4,5,3,6,1,7,2,8] => [5,3,7,4,2,6,1,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[5,2,3,8,7,1,6,4] => [7,5,2,6,3,1,8,4] => [5,8,1,6,3,4,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,1,3,8,6] => [4,5,1,2,7,8,3,6] => [8,4,2,3,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,1,3,7,2] => [4,5,2,6,8,7,3,1] => [8,6,1,4,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,1,6,7,5] => [4,8,2,3,7,1,6,5] => [7,4,1,2,8,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,3,6,2,1,4,8,7] => [2,6,5,1,3,4,8,7] => [5,2,6,3,4,1,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[7,3,6,5,8,1,4,2] => [8,4,7,1,6,3,5,2] => [4,7,6,3,8,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,3,4,8,6,1,5,2] => [6,5,8,1,3,7,4,2] => [6,8,5,3,2,7,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,2,3,1,6,8,4,7] => [3,5,2,8,1,6,4,7] => [6,3,1,5,4,8,2,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[7,4,3,8,1,6,5,2] => [8,5,4,6,7,1,2,3] => [4,7,8,5,6,3,2,1] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[5,4,1,2,7,6,8,3] => [4,1,5,8,3,7,6,2] => [7,1,5,4,2,8,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,5,1,4,3,8,7,2] => [5,6,4,2,7,3,8,1] => [6,4,8,2,5,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,2,1,6,5,8,4,3] => [2,7,4,8,6,1,5,3] => [6,2,7,4,8,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,4,5,3,8,6,2,1] => [2,6,5,8,1,7,3,4] => [6,2,8,5,4,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,4,7,8,6,3,1,5] => [3,2,6,4,1,8,7,5] => [2,4,3,7,1,6,8,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[6,2,4,3,5,8,1,7] => [8,6,4,2,3,5,1,7] => [4,6,8,2,1,3,5,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[2,4,5,8,1,7,3,6] => [8,2,7,4,5,3,1,6] => [2,4,5,7,8,1,6,3] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[7,2,5,4,8,3,1,6] => [3,8,7,5,1,2,4,6] => [7,3,5,8,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,7,6,2,5,8,1,3] => [8,6,1,4,2,7,5,3] => [4,6,2,8,3,7,1,5] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[7,6,3,1,5,8,2,4] => [3,6,7,2,1,8,5,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,6,8,3,5,2] => [4,7,5,8,1,2,6,3] => [8,5,7,4,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,4,5,8,1,7] => [8,3,6,2,4,5,1,7] => [3,8,6,1,2,4,5,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,6,8,1,5] => [8,4,2,7,1,3,6,5] => [4,8,1,7,3,5,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,5,8,3,1,7] => [3,2,8,6,4,5,1,7] => [2,6,3,8,1,4,5,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,8,7,1,3,6,2,5] => [7,6,1,4,2,3,8,5] => [4,6,2,8,3,5,7,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,5,8,7,4,2,3,6] => [1,4,2,7,5,3,8,6] => [1,5,2,4,8,3,7,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,7,3,2,8,5,6,4] => [1,3,7,6,8,5,2,4] => [1,7,3,8,6,2,5,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,6,5,2,4,8,3,7] => [1,5,6,3,8,4,2,7] => [1,8,6,2,5,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,8,4,2,5,6] => [1,4,8,7,3,5,2,6] => [1,8,4,7,2,3,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,4,7,5,8,3] => [1,6,8,2,7,4,5,3] => [1,8,6,3,7,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,8,2,3,6,4,7] => [1,8,2,6,5,3,4,7] => [1,5,2,6,8,4,3,7] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[2,5,3,6,7,1,4,8] => [7,2,5,1,3,6,4,8] => [2,5,6,3,4,7,1,8] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[7,5,6,2,1,4,8,3] => [2,6,8,1,7,5,4,3] => [8,2,6,3,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,5,7,3,8,2] => [4,6,8,7,2,5,1,3] => [8,7,4,6,2,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,7,3,4,2,8] => [6,4,7,3,1,5,2,8] => [6,7,4,1,3,2,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[7,4,1,6,3,8,2,5] => [4,7,8,6,3,2,1,5] => [8,6,4,7,1,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,2,4,8,1,3] => [8,6,1,2,7,5,4,3] => [6,8,2,3,7,1,4,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,6,2,3,1,5,8,4] => [3,6,2,7,4,8,5,1] => [8,3,1,7,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,1,7,6,5,2] => [3,4,8,5,6,7,1,2] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,6,4,5,3,8] => [1,2,5,6,4,7,3,8] => [1,2,7,5,3,6,4,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,2,8,7,5,3,4,6] => [1,2,5,3,7,4,8,6] => [1,2,8,3,5,4,7,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,7,4,5,3,6,8] => [1,2,5,7,4,3,6,8] => [1,2,7,5,3,4,6,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,2,6,8,7,4,5,3] => [1,2,5,7,4,6,8,3] => [1,2,6,5,3,8,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,2,8,6,7,4,5,3] => [1,2,5,7,4,8,6,3] => [1,2,8,5,3,7,4,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,5,6,7,9,1,8,2] => [9,8,3,4,5,6,7,1,2] => [3,4,5,6,7,8,9,2,1] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[3,4,5,6,7,8,10,1,9,2] => [10,9,3,4,5,6,7,8,1,2] => [3,4,5,6,7,8,9,10,2,1] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[3,7,5,2,1,6,4,8] => [2,5,3,7,6,4,1,8] => [3,2,7,5,6,1,4,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[5,2,4,8,1,6,3,7] => [8,5,6,2,4,1,3,7] => [5,8,6,2,1,4,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,2,1,4,5,6,3,8] => [2,7,6,1,4,5,3,8] => [6,2,7,3,1,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[4,6,1,3,7,5,2,8] => [6,5,1,4,7,3,2,8] => [4,6,2,7,5,1,3,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[5,6,7,1,4,3,2,8] => [7,3,4,1,5,6,2,8] => [3,5,4,2,6,7,1,8] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[5,7,8,1,4,2,3,6] => [8,4,2,1,5,3,7,6] => [4,5,1,3,7,2,8,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[4,6,8,5,2,1,7,3] => [2,5,8,4,7,6,3,1] => [5,2,4,7,6,8,1,3] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[4,7,8,2,1,3,5,6] => [2,8,1,4,3,5,7,6] => [4,2,1,7,3,5,8,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[3,5,4,1,8,2,6,7] => [4,5,3,8,2,1,6,7] => [5,3,8,4,1,2,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,5,4,1,8,2,7,6] => [4,5,3,8,2,7,1,6] => [5,3,7,4,1,8,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,7,8,2,3,1,6,4] => [3,8,2,6,5,1,7,4] => [5,3,1,6,7,4,8,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[6,7,8,2,5,1,3,4] => [5,8,1,3,2,6,7,4] => [6,5,2,1,4,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,7,8,2,5,3,4,1] => [4,8,5,3,2,6,7,1] => [6,4,5,1,2,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[2,6,5,3,4,7,1,8] => [7,2,5,3,6,4,1,8] => [2,5,7,1,6,3,4,8] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,4,7,3,6,5,8,2] => [1,8,7,4,6,3,5,2] => [1,4,6,7,8,3,2,5] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,8,5,3,4,2,6,7] => [1,4,5,3,8,2,6,7] => [1,8,4,2,5,3,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,8,7,2,6,4] => [1,7,3,6,5,2,8,4] => [1,3,5,6,8,4,7,2] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[6,4,1,8,5,7,3,2] => [4,3,6,7,8,2,5,1] => [7,8,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,1,3,8,7,5,2,6] => [4,5,1,3,7,2,8,6] => [8,4,2,1,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,1,2,5,8,4] => [3,1,7,8,2,6,5,4] => [7,1,3,6,4,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,8,1,4,7,5,6,3] => [8,2,6,1,7,5,4,3] => [2,6,8,3,7,1,4,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,5,8,2,1,4,7,3] => [2,8,7,1,6,5,4,3] => [6,2,7,3,8,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,5,1,6,7,2,4,3] => [5,8,4,1,7,2,6,3] => [5,4,8,3,7,2,1,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,1,8,5,7,3,2,4] => [6,3,7,2,8,1,5,4] => [7,8,3,1,6,5,2,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,8,4,3,5,1,6,2] => [5,6,4,8,3,1,7,2] => [6,5,7,4,1,3,8,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[2,5,6,1,3,8,7,4] => [6,2,1,7,5,3,8,4] => [2,6,1,5,8,4,7,3] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,8,1,3,5,7,6,4] => [8,2,1,6,3,7,5,4] => [2,6,1,8,4,7,3,5] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,8,5,7,2,4,6,1] => [6,7,3,2,8,4,5,1] => [7,3,8,1,6,4,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,1,5,4,6,8,2,7] => [3,8,1,5,4,6,2,7] => [5,3,2,6,1,8,4,7] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[5,7,4,6,1,3,2,8] => [6,3,1,7,5,4,2,8] => [3,6,2,5,7,1,4,8] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[7,2,5,6,1,3,8,4] => [6,7,1,8,2,5,3,4] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,8,6,1,2,3] => [6,1,2,8,5,7,3,4] => [6,1,2,5,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[6,4,1,2,5,8,3,7] => [4,1,6,8,3,5,2,7] => [8,1,6,4,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,6,3,1,8,4] => [3,6,7,8,5,1,2,4] => [7,6,3,5,8,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,7,3,5,2,6,8,1] => [8,5,7,4,3,2,6,1] => [4,7,5,8,1,2,3,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[2,6,3,5,7,1,8,4] => [7,2,6,8,3,5,1,4] => [2,7,8,6,3,1,5,4] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[2,3,5,4,7,1,8,6] => [7,2,3,5,4,8,1,6] => [2,3,5,8,1,7,6,4] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[4,5,8,2,7,3,6,1] => [6,8,7,4,5,3,2,1] => [6,4,5,7,8,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,3,1,2,6,5,8,4] => [3,1,7,8,6,2,5,4] => [7,1,3,6,8,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,3,5,6,4,8,2] => [7,8,1,6,3,5,4,2] => [7,6,2,8,3,1,4,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,8,5,3,6,4,7,2] => [1,7,5,8,6,4,3,2] => [1,6,8,5,7,2,3,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,6,4,5,8,3,7,2] => [1,7,8,6,4,5,3,2] => [1,7,6,8,2,3,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,3,1,6,5,4,2,7] => [3,8,4,5,6,2,1,7] => [8,3,4,5,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,2,5,3,8,7] => [6,1,5,4,2,3,8,7] => [4,1,5,6,3,2,8,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[6,7,5,1,3,2,8,4] => [5,3,1,7,8,6,4,2] => [3,7,2,6,5,8,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[2,8,3,6,4,1,7,5] => [4,2,6,8,7,1,3,5] => [2,8,6,4,7,5,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,7,1,3,4,2,6] => [7,4,1,3,8,2,5,6] => [4,8,2,1,7,5,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,8,5,6,2,4,7,1] => [7,6,3,2,8,5,4,1] => [3,7,8,1,6,2,4,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,8,5,6,2,1,7,3] => [2,6,7,4,8,5,1,3] => [7,2,4,8,6,1,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,8,6,3,7,4,2,1] => [2,4,7,6,5,8,1,3] => [7,2,4,5,8,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,7,1,2,5,3,4] => [7,1,5,3,2,6,8,4] => [5,1,6,2,4,8,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[5,2,7,6,8,3,4,1] => [4,5,8,3,2,7,6,1] => [7,5,4,1,2,8,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,4,5,2,7,3,6,1] => [6,5,7,8,4,3,2,1] => [7,8,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,3,7,4,5,2,8,1] => [8,5,6,7,4,3,2,1] => [5,8,7,6,1,2,3,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,3,4,2,8,5,6,1] => [6,4,7,3,8,5,2,1] => [7,8,4,1,6,2,3,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,3,6,5,8,2,7,1] => [7,8,4,3,6,5,2,1] => [6,4,7,1,8,2,3,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[8,2,7,4,5,3,6,1] => [6,8,5,7,4,3,2,1] => [7,5,8,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,2,8,4,5,3,6,1] => [6,7,5,8,4,3,2,1] => [7,6,8,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,3,8,2,7,4,5,1] => [5,8,6,7,4,3,2,1] => [8,5,7,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,4,7,5,6,1] => [6,3,2,8,7,5,4,1] => [3,8,1,6,7,2,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,6,2,7,4,5,1] => [5,6,8,7,4,3,2,1] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,8,2,6,5,1] => [5,6,3,4,8,1,7,2] => [4,3,6,7,5,2,8,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[3,2,6,8,4,5,7,1] => [7,3,2,8,4,6,5,1] => [3,7,1,6,2,8,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[4,3,5,6,8,2,1,7] => [2,8,4,3,5,6,1,7] => [4,2,5,1,6,8,3,7] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[3,4,6,8,5,2,1,7] => [2,5,3,4,8,6,1,7] => [3,2,4,6,5,8,1,7] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[5,8,1,7,2,4,3,6] => [8,7,4,2,5,3,1,6] => [4,5,7,2,8,1,6,3] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[6,8,1,7,2,4,3,5] => [8,7,4,2,3,6,1,5] => [4,6,7,2,1,8,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[2,7,6,8,4,1,3,5] => [4,2,1,8,3,7,6,5] => [2,7,1,4,3,8,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,5,6,2,3,8,7,4] => [1,6,2,7,5,3,8,4] => [1,6,2,5,8,4,7,3] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[6,4,1,5,3,7,8,2] => [4,6,8,5,2,1,7,3] => [7,5,4,6,2,3,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,6,8,3,4,7,1,2] => [7,1,8,3,5,6,4,2] => [6,1,5,2,7,8,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,7,8,2,3,4,6,1] => [6,8,2,3,5,4,7,1] => [6,5,1,2,7,3,8,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[3,7,4,5,8,6,1,2] => [6,1,3,8,2,7,5,4] => [3,1,8,6,4,7,2,5] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,7,8,1,5,3] => [8,4,6,5,1,3,7,2] => [4,7,5,6,3,1,8,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,5,4,7,2,8,6,3] => [1,7,6,5,4,8,2,3] => [1,5,7,8,2,6,4,3] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[3,6,4,7,1,8,2,5] => [7,8,3,6,2,4,1,5] => [6,3,7,8,2,4,5,1] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[2,5,1,7,6,8,4,3] => [5,2,4,8,1,7,6,3] => [2,5,7,4,3,8,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[2,6,5,7,4,8,1,3] => [8,2,1,7,6,5,4,3] => [2,6,1,7,8,3,4,5] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[2,6,4,7,3,8,1,5] => [8,2,7,6,1,4,3,5] => [2,6,7,8,4,3,5,1] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,6,5,7,3,8,2,4] => [1,8,7,2,6,5,3,4] => [1,6,7,3,8,2,5,4] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,8,5,7,6,4,2,3] => [1,4,2,6,7,8,3,5] => [1,8,2,4,7,6,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,2,7,8,3,5] => [6,4,8,1,3,2,7,5] => [6,7,4,3,1,5,8,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[6,5,1,3,7,8,4,2] => [5,4,2,6,8,3,7,1] => [6,7,1,4,5,2,8,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[5,6,8,2,4,7,1,3] => [7,8,1,2,5,6,4,3] => [6,5,2,3,7,8,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[5,6,7,1,4,8,2,3] => [7,8,2,1,5,6,4,3] => [6,5,1,3,7,8,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,7,4,2,3,8,5,1] => [5,4,1,8,7,6,3,2] => [5,7,2,4,6,8,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[5,8,7,3,2,4,6,1] => [6,3,7,2,5,4,8,1] => [5,6,3,1,8,2,7,4] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[5,7,1,4,6,8,2,3] => [7,8,2,1,5,4,6,3] => [7,5,1,3,8,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,5,8,6,4,3,1,7] => [3,2,4,6,5,8,1,7] => [2,5,3,4,8,6,1,7] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[4,1,3,5,2,8,7,6] => [4,5,1,3,2,7,8,6] => [5,4,2,1,3,8,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[4,5,8,6,3,7,1,2] => [7,1,6,4,5,8,3,2] => [4,1,5,7,8,6,2,3] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[6,2,7,4,1,8,3,5] => [4,7,6,8,1,3,2,5] => [8,6,7,4,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,6,8,1,7,5] => [8,3,2,4,7,6,1,5] => [3,4,1,6,7,8,5,2] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[6,1,7,8,3,4,2,5] => [6,4,8,3,2,1,7,5] => [6,7,4,1,2,5,8,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[2,4,7,8,5,1,6,3] => [5,2,8,4,6,3,7,1] => [2,5,4,7,6,1,8,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,3,2,5,8,4,7,6] => [1,3,2,8,5,7,4,6] => [1,3,2,5,7,8,6,4] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,4,3,7,6,2,8,5] => [1,6,4,3,7,8,5,2] => [1,4,8,2,7,6,3,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,4,2,7,6,3,8,5] => [1,4,6,2,7,8,5,3] => [1,8,4,3,7,6,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,2,7,3,8,6] => [1,4,5,7,3,8,2,6] => [1,8,5,4,2,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,1,7,8,2,4] => [5,6,3,1,8,2,7,4] => [6,3,7,2,5,4,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,6,2,5,7,3,8,4] => [1,6,7,8,2,5,3,4] => [1,8,7,6,4,2,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,6,8,5,3,4] => [1,2,5,3,8,7,6,4] => [1,2,7,3,5,8,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,4,3,8,2,5,7,6] => [1,8,4,3,2,7,5,6] => [1,4,7,2,3,8,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[3,7,2,8,4,1,5,6] => [4,8,3,7,2,5,1,6] => [4,3,8,7,1,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,1,4,6,3,8,2,7] => [5,8,6,1,4,3,2,7] => [8,5,6,3,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,4,1,8,3,5] => [4,6,7,8,1,3,2,5] => [8,7,6,4,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,5,8,2,7,4] => [6,8,3,7,1,5,2,4] => [6,3,8,7,4,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,7,6,5,8,2,3,1] => [3,8,2,4,6,7,5,1] => [4,3,1,6,8,7,2,5] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[2,3,8,4,5,6,1,7] => [6,2,3,8,4,5,1,7] => [2,3,8,6,1,4,5,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[4,3,5,7,2,1,8,6] => [2,7,4,3,5,8,1,6] => [4,2,5,1,8,7,6,3] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[3,4,1,7,6,5,8,2] => [4,8,3,1,6,7,5,2] => [4,3,6,2,8,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[4,3,7,5,1,6,8,2] => [5,7,4,3,8,2,6,1] => [7,4,8,1,5,2,3,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,3,8,2,4,5,7] => [6,8,1,2,4,3,5,7] => [8,6,2,3,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,8,3,1,4,6] => [3,8,7,2,5,4,1,6] => [7,3,5,1,8,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,2,6,8,4,3,5,7] => [1,2,4,8,3,6,5,7] => [1,2,6,4,3,8,5,7] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[7,2,6,3,1,8,4,5] => [3,6,7,8,4,1,2,5] => [8,7,3,6,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,1,3,7,2,6] => [4,8,2,7,5,1,3,6] => [7,4,1,5,8,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,2,4,6,5,8,3,1] => [3,8,7,1,6,4,5,2] => [7,3,6,2,8,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,4,2,1,6,8,5,7] => [2,4,3,1,8,6,5,7] => [3,2,4,1,6,8,5,7] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[6,8,4,3,1,2,5,7] => [3,1,4,8,2,6,5,7] => [6,1,3,4,2,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[8,1,3,5,6,4,7,2] => [8,7,1,6,3,5,4,2] => [6,7,2,8,3,1,4,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,3,2,6,4,1,7,5] => [4,3,6,8,7,1,2,5] => [6,8,3,4,7,5,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,3,5,1,4,6,7,2] => [5,7,8,1,3,4,6,2] => [8,7,5,3,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,2,5,4,7,1] => [7,6,3,5,2,8,4,1] => [3,5,7,8,2,6,1,4] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[8,1,7,4,2,5,3,6] => [8,4,7,5,3,2,1,6] => [4,8,5,7,1,2,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,3,2,5,1,4,7,6] => [5,3,8,1,2,7,4,6] => [5,7,3,2,4,8,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[8,4,5,1,2,6,7,3] => [5,1,7,8,4,2,6,3] => [8,1,7,5,2,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,2,4,6,7,3] => [8,5,7,2,1,4,6,3] => [5,8,7,2,4,1,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,2,6,4,1,3,8,7] => [4,6,2,5,1,3,8,7] => [6,4,1,5,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,1,3,5,2,8,6,4] => [7,5,1,6,3,8,2,4] => [5,8,2,7,3,6,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,4,7,1,3,5,2] => [7,5,1,6,3,8,4,2] => [5,8,2,7,3,6,1,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,3,5,7,2,1,4] => [2,7,6,1,3,8,5,4] => [7,2,8,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,8,4,3,2,1,7,5] => [2,3,4,8,7,6,1,5] => [6,2,3,4,7,8,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[2,1,8,5,4,3,7,6] => [2,1,4,5,8,7,3,6] => [2,1,7,4,5,8,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[6,2,8,5,4,1,3,7] => [4,5,1,8,6,2,3,7] => [8,5,2,4,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,8,5,4,2,7] => [6,4,3,5,8,1,2,7] => [3,4,8,6,5,2,1,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[4,7,8,5,3,2,6,1] => [6,3,5,4,8,2,7,1] => [3,6,4,7,5,1,8,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[6,7,5,8,4,9,3,10,1,2] => [10,1,9,8,7,6,5,4,3,2] => [6,1,7,8,9,10,2,3,4,5] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[7,4,2,6,3,8,5,1] => [5,4,8,7,6,2,1,3] => [6,8,4,5,7,2,3,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,8,5,6,2,7,1,3] => [7,6,1,4,8,5,2,3] => [4,7,2,8,6,1,5,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[7,5,6,3,2,8,4,1] => [4,3,8,6,7,5,1,2] => [4,8,3,6,7,1,5,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,8,6,7,1,4] => [7,3,5,1,2,8,6,4] => [3,8,5,2,4,7,1,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,3,8,4,2,1] => [2,4,8,6,5,7,1,3] => [6,2,4,5,8,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,4,7,5,6,3,1,2] => [3,1,6,8,7,5,4,2] => [8,1,3,6,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,4,7,2,3,1] => [3,7,2,5,8,6,4,1] => [6,3,1,7,5,8,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[2,6,7,1,8,5,4,3] => [7,2,4,5,8,6,1,3] => [2,4,7,6,5,8,3,1] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[3,2,5,6,7,1,4,8] => [7,3,2,1,5,6,4,8] => [3,5,1,2,6,7,4,8] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[5,2,4,7,8,1,3,6] => [8,5,1,2,4,3,7,6] => [5,7,2,3,1,4,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[4,8,5,6,1,2,7,3] => [6,1,7,4,8,5,2,3] => [7,1,4,8,6,2,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,7,8,5,4,6,2,3] => [1,6,2,5,8,4,7,3] => [1,6,2,7,5,3,8,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,3,1,4,5,8,7,2] => [3,6,7,2,4,5,8,1] => [8,6,3,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,1,2,6,7,4] => [8,1,5,7,3,2,6,4] => [5,1,8,7,3,4,2,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,8,5,3,7,6,4,1] => [4,2,6,5,7,8,3,1] => [2,8,4,7,5,6,1,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,7,5,8,6,2] => [3,6,1,4,8,7,2,5] => [4,3,2,8,6,7,5,1] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[8,3,1,7,4,6,5,2] => [3,8,5,6,7,1,2,4] => [8,3,5,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,6,4,1,7,5] => [4,6,1,8,7,3,2,5] => [8,6,2,4,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,7,5,8,6,1,4] => [6,2,3,1,8,7,4,5] => [2,3,8,1,6,7,5,4] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[3,8,5,1,2,4,7,6] => [5,1,3,2,8,7,4,6] => [3,1,7,2,5,8,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[3,4,7,5,2,8,6,1] => [6,5,3,4,8,7,1,2] => [3,4,6,8,5,7,2,1] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,3,6,4,8,2,7,5] => [1,8,3,6,7,4,2,5] => [1,3,6,8,7,4,5,2] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,6,2,7,8,3,5,4] => [1,6,8,5,3,2,7,4] => [1,6,5,7,3,4,8,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[6,4,7,3,5,8,2,1] => [2,8,7,6,3,4,5,1] => [6,2,7,8,3,4,1,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,6,1,2,3,7,5,4] => [6,1,2,5,8,7,4,3] => [6,1,2,8,5,7,3,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,6,2,8,1,7,3,4] => [8,6,7,3,5,2,1,4] => [5,7,6,1,8,3,4,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[2,6,7,3,4,1,5,8] => [4,2,7,3,1,6,5,8] => [2,6,4,1,3,7,5,8] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[2,7,6,3,4,1,5,8] => [4,2,6,3,1,7,5,8] => [2,7,4,1,3,6,5,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[5,2,3,8,1,4,6,7] => [8,5,2,1,3,4,6,7] => [5,8,1,3,4,2,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,5,3,1,8,4,6,7] => [3,2,5,8,1,4,6,7] => [2,8,3,5,4,1,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[9,6,5,4,3,2,1,7,8] => [2,3,4,5,6,9,1,7,8] => [9,2,3,4,5,6,1,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[10,7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,10,1,8,9] => [10,2,3,4,5,6,7,1,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,2,5,3,7,4,8,1] => [8,6,5,7,2,3,4,1] => [5,7,8,6,3,2,1,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[8,5,4,2,6,3,7,1] => [7,4,5,8,6,2,3,1] => [5,8,6,4,7,2,1,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,8,2,5,1] => [5,8,7,6,2,3,4,1] => [8,5,6,7,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,4,8,2,6,1] => [6,8,7,5,3,2,4,1] => [7,5,6,8,2,3,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,3,6,8,4,5,1,2] => [5,1,7,8,4,3,6,2] => [8,1,7,5,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,7,4,2,8,3] => [1,4,7,8,6,5,3,2] => [1,7,6,4,8,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,2,7,4,8,5,6,3] => [1,2,6,7,8,5,4,3] => [1,2,8,7,6,3,4,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,7,4,8,5,2,3] => [1,5,2,8,7,6,3,4] => [1,7,2,5,6,8,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,6,7,4,8,5,1,3] => [5,2,1,8,7,6,3,4] => [2,7,1,5,6,8,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,7,8,5,1,3,6,2] => [5,8,2,4,6,3,7,1] => [5,4,1,7,6,2,8,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,4,8,2,5,3,6,7] => [1,8,5,4,2,3,6,7] => [1,4,5,8,3,2,6,7] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[4,6,1,3,7,2,8,5] => [6,7,1,4,8,3,2,5] => [7,4,2,8,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,6,3,4,8,5,2,7] => [1,5,8,2,6,4,3,7] => [1,8,5,3,6,2,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,4,8,5,6,2] => [1,6,7,3,8,5,4,2] => [1,8,7,2,6,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,5,8,4,6,1] => [6,3,2,8,7,4,5,1] => [3,8,1,6,7,4,2,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,7,2,4,5,6,1] => [6,7,8,2,4,5,3,1] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,5,3,7,2,1] => [2,7,5,8,4,6,3,1] => [6,2,7,5,1,8,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[7,5,4,6,2,8,3,1] => [3,8,6,5,7,4,1,2] => [7,3,5,8,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,8,4,5,3,2,7,1] => [7,3,5,8,4,6,2,1] => [3,7,6,5,1,8,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[7,5,8,2,3,6,4,1] => [4,6,1,8,7,3,5,2] => [8,6,2,4,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,5,3,7,8,2] => [6,8,5,4,1,3,7,2] => [5,4,6,7,3,1,8,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[6,5,7,1,2,4,3,8] => [7,1,4,2,6,5,3,8] => [4,1,6,3,7,2,5,8] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[2,5,6,4,1,3,8,7] => [4,2,1,6,5,3,8,7] => [2,5,1,4,6,3,8,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[4,6,1,3,5,7,2,8] => [6,7,1,4,3,5,2,8] => [6,4,2,7,1,3,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[3,4,6,2,5,1,8,7] => [5,6,3,4,2,1,8,7] => [4,3,5,6,1,2,8,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[4,5,3,2,1,8,6,7] => [2,3,5,4,1,8,6,7] => [4,2,3,5,1,8,6,7] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[4,5,2,8,6,7,1,3] => [7,5,1,4,2,8,6,3] => [4,5,2,8,3,7,1,6] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[4,5,1,3,2,8,6,7] => [5,3,1,4,2,8,6,7] => [3,4,2,5,1,8,6,7] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[3,4,5,8,6,1,7,2] => [6,8,3,4,5,7,2,1] => [4,3,5,6,8,7,1,2] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[3,4,5,8,6,1,2,7] => [6,1,3,4,5,8,2,7] => [3,1,4,5,8,6,2,7] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[6,8,5,2,4,7,1,3] => [7,5,1,2,8,6,4,3] => [6,7,2,3,5,8,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[6,4,1,3,7,8,2,5] => [4,6,2,8,1,3,7,5] => [7,6,1,4,3,5,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,3,7,8,1,5,6,2] => [8,6,4,3,1,5,7,2] => [4,6,7,1,3,2,8,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[6,3,1,2,5,4,8,7] => [3,1,6,5,2,4,8,7] => [5,1,3,6,4,2,8,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[7,3,1,2,5,4,8,6] => [3,1,7,5,2,8,4,6] => [5,1,3,8,4,7,6,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,5,8,2,4,3,7,6] => [1,8,4,2,5,7,3,6] => [1,4,5,3,7,8,6,2] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,4,8,2,5,3,7,6] => [1,8,5,4,2,7,3,6] => [1,4,5,7,3,8,6,2] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[6,2,5,3,1,4,8,7] => [3,5,6,2,1,4,8,7] => [6,5,3,1,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,2,6,3,1,4,8,7] => [3,6,5,2,1,4,8,7] => [6,3,5,1,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[3,2,6,4,1,5,8,7] => [4,3,2,6,1,5,8,7] => [3,6,1,4,2,5,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[8,3,7,4,1,2,6,5] => [4,1,7,8,6,3,2,5] => [7,1,6,4,8,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,8,5,1,2,6,7,4] => [5,1,3,8,7,4,6,2] => [3,1,8,5,7,2,4,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,4,7,8,3,6,5,1] => [5,2,6,4,8,1,7,3] => [2,6,4,7,5,3,8,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,8,1,3,2,5,7,4] => [8,3,1,7,2,6,5,4] => [3,6,2,7,4,8,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,8,7,3,2,4,5,6] => [1,3,7,2,4,5,8,6] => [1,8,3,2,4,5,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,5,2,3,1,6,7] => [3,5,2,4,8,1,6,7] => [4,3,1,8,5,2,6,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,4,8,3,1,2,6,7] => [3,1,8,5,4,2,6,7] => [5,1,3,8,2,4,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,4,7,3,2,5,6,1] => [6,3,7,8,2,5,4,1] => [7,8,3,6,2,1,4,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,8,5,1,7,3,4,2] => [5,4,8,1,7,6,3,2] => [5,7,4,3,6,8,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,2,7,3,8,1,4,5] => [8,6,7,1,4,2,3,5] => [6,8,7,3,1,5,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,7,8,3,6,5,2,4] => [1,5,6,3,8,2,7,4] => [1,7,6,2,5,4,8,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,6,7,5,1,8,2,3] => [5,7,1,4,8,6,2,3] => [6,4,2,7,5,8,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[7,3,6,8,4,1,2,5] => [4,1,8,7,3,2,6,5] => [8,1,4,7,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,5,1,2,8,4] => [5,1,7,6,8,4,3,2] => [8,1,6,7,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,4,8,6,3,1] => [3,6,8,5,2,7,4,1] => [6,5,3,8,2,7,1,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,4,3,6,8,5,2,7] => [1,5,4,3,8,6,2,7] => [1,4,6,2,5,8,3,7] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[7,6,2,8,5,3,4,1] => [4,6,5,2,7,8,3,1] => [8,4,7,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,6,4,1,3,5] => [4,6,1,7,3,8,2,5] => [8,7,2,4,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,4,2,6,3] => [7,4,6,1,8,2,5,3] => [4,8,7,3,6,5,1,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,8,2,5,6,3,7,1] => [7,8,6,4,2,5,3,1] => [6,4,7,8,2,1,3,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[8,1,5,7,4,6,2,3] => [8,6,2,7,1,4,5,3] => [6,8,1,7,4,3,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[2,7,1,4,8,3,6,5] => [7,2,8,1,6,3,4,5] => [2,7,6,3,8,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,3,1,8,7,4,6,5] => [3,2,1,7,6,4,8,5] => [2,3,1,6,8,5,7,4] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[4,6,8,2,1,5,3,7] => [2,8,5,4,1,6,3,7] => [4,2,5,6,3,8,1,7] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[4,5,6,8,3,2,7,1] => [7,3,8,4,5,6,2,1] => [4,5,3,6,7,8,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,2,3,4,5,9,8,6,7] => [1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,9,6,8,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[4,6,5,7,2,3,8,1] => [8,7,2,4,6,5,3,1] => [4,6,1,7,8,2,3,5] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[5,3,6,7,4,8,1,2] => [8,1,5,7,3,6,4,2] => [5,1,7,6,3,8,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[4,2,7,8,5,6,1,3] => [6,4,1,2,8,5,7,3] => [4,7,2,3,6,1,8,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[4,6,7,3,2,8,1,5] => [8,3,7,4,1,6,2,5] => [3,6,4,7,2,8,5,1] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,3,2,8,4,7,1] => [7,3,6,8,5,2,4,1] => [3,7,6,5,8,2,1,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[3,7,4,8,1,6,5,2] => [8,5,3,6,7,1,2,4] => [3,5,8,7,6,4,2,1] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[5,2,4,8,6,7,3,1] => [3,7,5,1,4,8,6,2] => [8,3,5,2,1,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,7,1,5,8,2] => [7,8,3,6,1,4,5,2] => [6,3,7,8,4,2,1,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[4,8,2,7,5,3,1,6] => [3,5,7,4,8,1,2,6] => [7,4,3,8,5,2,6,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,8,5,6,3,1,2,7] => [3,1,6,4,8,5,2,7] => [4,1,3,8,6,2,5,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[5,4,2,3,1,7,8,6] => [3,4,2,5,1,8,7,6] => [5,3,1,4,2,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[2,5,1,7,6,3,4,8] => [5,2,6,3,1,7,4,8] => [2,7,5,1,4,6,3,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[4,3,1,5,2,6,7,8] => [3,4,5,2,1,6,7,8] => [5,4,3,1,2,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[5,7,1,2,4,8,3,6] => [7,1,8,2,5,3,4,6] => [7,1,5,3,8,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,7,8,1,2,3,6,4] => [8,1,2,6,5,3,7,4] => [5,1,2,6,7,4,8,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[6,7,8,3,5,2,4,1] => [4,5,8,2,3,6,7,1] => [6,5,4,2,1,7,8,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[5,1,4,3,7,6,8,2] => [5,8,4,1,3,7,6,2] => [5,4,7,3,1,8,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,8,6,1,7,2,3,4] => [6,8,1,3,5,7,2,4] => [6,5,2,1,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,2,8,7,3,6,5,1] => [5,4,6,2,7,1,8,3] => [6,8,4,2,5,3,7,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,7,6,3,8,1,5,2] => [8,5,6,4,1,7,3,2] => [4,6,5,8,3,7,1,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,7,1,4,8,2,5,6] => [7,8,3,1,2,5,4,6] => [7,3,8,2,4,1,6,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,3,5,2,6,8,7,4] => [1,5,3,7,2,6,8,4] => [1,3,6,5,4,8,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[4,7,5,6,2,8,1,3] => [8,6,1,4,7,5,2,3] => [4,6,2,8,7,1,5,3] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[2,3,5,8,4,7,1,6] => [7,2,3,8,5,1,4,6] => [2,3,7,5,8,4,6,1] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[6,7,4,8,5,2,1,3] => [2,5,1,8,7,6,3,4] => [7,2,1,5,6,8,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,6,3,4,1,2,7,5] => [4,1,6,3,8,7,5,2] => [8,1,4,2,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,6,7,3,2,1] => [2,3,7,8,5,4,6,1] => [7,2,3,5,8,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,5,8,7,3,2,6,1] => [6,3,7,4,5,2,8,1] => [4,5,3,6,8,1,7,2] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[6,1,7,3,5,8,4,2] => [6,4,8,7,2,1,5,3] => [7,8,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,5,1,7,6,8,3,2] => [5,3,8,4,1,7,6,2] => [4,5,3,7,2,8,1,6] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[8,3,4,7,6,5,1,2] => [5,1,6,3,7,8,4,2] => [8,1,7,2,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,4,1,6,7,5] => [4,3,8,2,7,1,6,5] => [4,7,3,1,8,5,2,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[6,8,7,4,2,3,1,5] => [3,4,2,7,1,6,8,5] => [6,3,1,4,2,8,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[3,4,8,6,2,1,7,5] => [2,6,3,4,8,7,5,1] => [3,2,4,8,6,7,1,5] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[8,4,6,2,1,7,3,5] => [2,6,7,8,3,4,1,5] => [8,2,7,6,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,7,5,8,6] => [3,1,4,2,7,8,5,6] => [4,1,3,2,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[7,4,3,1,2,5,8,6] => [3,1,4,7,2,8,5,6] => [8,1,3,4,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,6,2,1,8,5] => [2,6,7,3,8,4,1,5] => [8,2,7,1,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,6,2,5,4,3] => [8,6,4,5,2,7,1,3] => [4,5,8,6,2,7,3,1] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,5,4,3,7,6,1,2] => [6,1,4,5,7,8,2,3] => [4,1,8,7,5,6,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,8,1,3,6,7,5,2] => [8,5,1,4,7,3,6,2] => [4,5,2,8,7,1,3,6] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[3,5,8,6,1,7,4,2] => [6,4,3,8,5,7,2,1] => [3,5,6,4,8,7,1,2] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,4,8,6,7,3,5,2] => [1,5,7,4,3,8,6,2] => [1,5,4,8,2,7,3,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[5,6,7,1,3,4,8,2] => [7,8,1,3,5,6,4,2] => [6,5,2,1,7,8,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,5,1,2,7,3,4,8] => [5,1,6,2,7,3,4,8] => [7,1,6,3,5,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,8,3,7,6,1,2,4] => [6,1,7,3,5,8,2,4] => [7,1,5,2,8,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,3,4,2,6,5,8] => [7,4,1,3,6,2,5,8] => [4,6,2,1,7,5,3,8] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[4,8,5,3,2,7,1,6] => [7,3,5,4,8,1,2,6] => [3,7,4,8,5,2,6,1] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[8,4,5,3,1,7,2,6] => [3,5,7,8,4,1,2,6] => [8,7,3,5,1,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,3,1,8,6,2] => [3,5,6,8,1,7,2,4] => [8,6,3,5,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,7,2,4,3,1] => [3,4,7,1,5,6,8,2] => [5,4,3,2,6,8,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[6,8,7,5,1,3,2,4] => [5,3,1,2,7,6,8,4] => [3,6,2,1,5,8,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[3,8,2,6,7,5,1,4] => [5,7,3,2,8,1,6,4] => [7,3,8,1,5,4,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,7,6,8,3,2,4,1] => [4,3,8,2,5,7,6,1] => [4,5,3,1,7,8,2,6] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[6,3,4,8,7,1,2,5] => [7,1,6,3,2,4,8,5] => [6,1,8,2,4,5,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,7,5,3,6,8,2,4] => [1,8,5,2,7,3,6,4] => [1,5,8,3,7,4,2,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[2,6,5,7,8,1,3,4] => [8,2,1,3,6,5,7,4] => [2,6,1,3,7,4,8,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[5,3,1,6,7,8,2,4] => [3,5,8,1,2,6,7,4] => [6,5,3,2,4,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,3,1,5,7,8,2,4] => [3,6,8,1,2,5,7,4] => [7,6,3,2,4,1,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,3,1,5,6,8,2,4] => [3,7,8,1,2,5,6,4] => [8,7,3,2,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,7,8,6,3,5] => [2,1,6,4,3,8,7,5] => [2,1,4,7,3,6,8,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,5,7,6,8,3,4] => [2,1,8,3,5,7,6,4] => [2,1,5,3,7,8,4,6] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[2,4,5,8,1,6,3,7] => [8,2,6,4,5,1,3,7] => [2,4,5,6,8,3,1,7] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,8,5,6,4,2,3,7] => [1,4,2,6,8,5,3,7] => [1,8,2,4,6,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,8,3,7,5,4,1] => [4,2,5,7,8,6,3,1] => [2,7,6,4,5,8,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,5,8,1,6,7,4,2] => [8,4,3,7,5,1,6,2] => [3,4,7,5,8,2,1,6] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[6,8,1,3,2,4,7,5] => [8,3,1,2,7,6,4,5] => [3,6,2,1,7,8,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[8,2,1,4,5,3,6,7] => [2,8,5,1,4,3,6,7] => [5,2,8,3,1,4,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,1,5,6,3,7,8,2] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,7,5,6,4,8,2,3] => [1,8,2,6,7,5,4,3] => [1,6,2,8,7,3,4,5] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[2,4,8,5,7,3,1,6] => [3,2,7,4,8,1,5,6] => [2,4,3,8,7,5,6,1] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[8,3,1,4,6,2,7,5] => [3,8,6,2,7,4,1,5] => [8,3,6,1,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,3,1,6,8,4] => [3,5,7,8,1,2,6,4] => [8,7,3,5,4,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,4,7,8,1,6] => [8,2,3,5,4,1,7,6] => [2,3,5,7,1,4,8,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[4,3,5,2,7,8,1,6] => [8,5,4,3,2,1,7,6] => [4,5,7,1,2,3,8,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,3,6,7,4,8,2,5] => [1,8,3,7,2,6,4,5] => [1,3,6,7,4,8,5,2] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[4,1,2,7,6,8,3,5] => [4,1,8,2,3,7,6,5] => [7,1,4,3,2,8,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,2,6,5,4,8,1,3] => [8,7,1,5,6,2,4,3] => [5,6,2,8,7,4,1,3] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[4,5,2,3,7,8,1,6] => [8,5,2,4,3,1,7,6] => [4,5,1,7,2,3,8,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[7,2,5,4,6,8,1,3] => [8,7,1,5,2,4,6,3] => [5,7,2,8,4,1,3,6] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[6,4,5,7,3,8,2,9,1] => [9,8,7,6,4,5,3,2,1] => [6,7,8,9,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[6,4,5,7,3,8,2,9,1,10] => [9,8,7,6,4,5,3,2,1,10] => [6,7,8,9,1,2,3,4,5,10] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[2,5,7,4,8,3,1,6] => [3,2,8,7,5,1,4,6] => [2,5,3,7,8,4,6,1] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[2,3,5,8,4,1,7,6] => [4,2,3,8,5,7,1,6] => [2,3,5,4,7,8,6,1] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[3,5,7,2,8,4,1,6] => [4,8,3,7,5,2,1,6] => [4,3,7,5,8,1,6,2] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[2,8,3,4,1,7,6,5] => [4,2,8,3,6,7,1,5] => [2,6,4,1,8,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,6,7,1,4,5,8,3] => [7,2,8,1,4,6,5,3] => [2,7,6,3,1,8,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,4,6,2,5,8,1] => [8,6,7,3,2,4,5,1] => [6,8,7,1,3,4,2,5] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,6,7,3,5,8,4,2] => [1,4,8,7,2,6,5,3] => [1,7,4,6,3,8,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,8,1,5,7,6,4,3] => [8,2,4,6,1,7,5,3] => [2,4,8,6,3,7,1,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,1,2,5,7,6,4,3] => [8,1,4,6,2,7,5,3] => [4,1,8,6,3,7,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,7,2,6,1,5,3,4] => [6,7,5,3,1,2,8,4] => [6,5,8,1,4,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,5,8,3,6,7,1,4] => [7,2,8,1,5,3,6,4] => [2,7,5,3,8,4,1,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,2,5,3,4,7,1,8] => [7,6,5,3,2,4,1,8] => [5,6,7,1,3,2,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[6,4,8,3,1,5,2,7] => [3,8,5,6,2,4,1,7] => [8,3,5,6,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,3,4,1,5,8,6] => [4,2,7,3,1,8,5,6] => [2,8,4,1,3,7,6,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,2,5,8,4] => [3,7,6,8,1,2,5,4] => [8,3,7,6,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,3,5,2,6,7] => [1,5,4,8,3,2,6,7] => [1,5,8,4,2,3,6,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[4,2,6,8,3,5,1,7] => [5,4,8,2,3,6,1,7] => [5,6,4,2,1,8,3,7] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[6,2,8,3,4,5,1,7] => [5,6,8,3,4,2,1,7] => [8,6,5,1,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,6,4,5,1,7] => [5,8,3,6,4,2,1,7] => [5,3,8,6,1,2,4,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,8,3,4,6,5,1,7] => [5,2,6,1,8,4,3,7] => [2,8,6,3,5,1,4,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,8,2,4,3,6] => [7,8,4,2,1,3,5,6] => [7,4,8,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,1,8,2,5,7,4] => [6,8,3,7,2,1,5,4] => [6,3,8,7,2,5,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,2,1,8,5,3,6,4] => [2,7,5,8,6,4,1,3] => [6,2,8,5,7,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,3,4,6,8,2,1,5] => [2,8,7,3,1,4,6,5] => [7,2,8,1,4,5,3,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,2,4,6,1,7,8,3] => [6,5,8,2,4,1,7,3] => [6,7,5,2,1,4,8,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[8,7,3,2,5,1,6,4] => [5,3,7,6,2,1,8,4] => [5,8,3,6,2,4,7,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,6,4,1,2,5,8,7] => [4,1,3,6,2,5,8,7] => [3,1,6,4,2,5,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[6,3,1,4,2,5,8,7] => [3,6,4,2,1,5,8,7] => [6,3,4,1,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,2,3,1,4,6,8,7] => [3,5,2,1,4,6,8,7] => [5,3,1,2,4,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[3,5,4,1,6,2,8,7] => [4,5,3,6,2,1,8,7] => [5,3,6,4,1,2,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[4,5,7,2,8,3,1,6] => [3,8,7,4,5,2,1,6] => [5,3,4,7,8,1,6,2] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[3,5,1,7,6,2,8,4] => [5,6,3,7,1,8,4,2] => [7,3,8,5,4,6,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,6,7,3,1,8,2,5] => [3,7,8,4,1,6,2,5] => [6,4,3,7,2,8,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[8,4,2,6,5,3,7,1] => [7,4,8,5,6,3,2,1] => [5,8,4,6,7,1,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,7,5,2,8] => [4,5,1,3,7,6,2,8] => [6,4,2,1,5,7,3,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[3,1,4,5,7,6,2,8] => [3,6,1,4,5,7,2,8] => [4,3,2,5,7,6,1,8] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[8,5,1,2,4,3,6,7] => [5,1,4,2,8,3,6,7] => [4,1,8,3,5,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[5,8,4,1,2,3,6,7] => [4,1,2,8,5,3,6,7] => [5,1,2,4,8,3,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[2,8,5,7,1,4,3,6] => [7,2,4,1,8,3,5,6] => [2,4,8,3,7,5,6,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,6,1,4,2,3,8,5] => [6,4,2,1,7,8,5,3] => [4,8,1,3,7,6,2,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,7,8,4,3,5] => [6,1,4,8,3,2,7,5] => [6,1,7,4,2,5,8,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[7,8,1,2,5,3,4,6] => [8,1,5,3,2,4,7,6] => [5,1,7,2,4,3,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,8,4,7,5,2,3,6] => [1,5,2,7,8,4,3,6] => [1,8,2,7,5,3,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,2,5,3,6,7,1] => [7,4,8,5,3,2,6,1] => [5,8,4,7,1,2,3,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,1,5,3,6,7,2,4] => [8,7,5,2,1,3,6,4] => [5,7,8,2,4,3,1,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[4,7,8,2,5,6,1,3] => [6,8,1,4,2,5,7,3] => [6,4,2,7,3,1,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[2,8,5,4,6,7,1,3] => [7,2,1,5,8,4,6,3] => [2,7,1,8,5,3,4,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,1,5,6,8,3,4,2] => [7,4,8,3,1,5,6,2] => [7,8,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,8,6,7,3,4,2] => [5,4,7,3,1,8,6,2] => [5,8,4,1,3,7,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,4,5,2,6,7,1,3] => [7,5,1,8,4,2,6,3] => [7,8,2,5,1,4,3,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,8,5,3,7,4,1,2] => [4,1,7,5,8,6,2,3] => [7,1,4,6,5,8,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,6,1,7,5,4,8,3] => [6,2,8,5,7,1,4,3] => [2,7,5,8,6,4,1,3] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,5,1,3,2,8,4,6] => [5,3,1,7,8,2,4,6] => [3,8,2,7,5,4,6,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,8,3,2,6,5,7] => [1,3,8,4,6,2,5,7] => [1,4,3,6,8,5,2,7] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[2,3,4,5,6,1,9,8,7] => [6,2,3,4,5,1,8,9,7] => [2,3,4,5,6,1,9,8,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[7,2,4,6,3,1,8,5] => [3,6,7,1,8,4,2,5] => [8,7,3,2,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,2,5,4,3] => [6,7,4,5,1,8,2,3] => [5,4,8,7,3,6,2,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,6,1,7,2,5,8,3] => [6,7,8,4,2,1,5,3] => [7,6,4,8,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,4,1,6,7,3,5,2] => [4,8,5,7,1,2,6,3] => [8,4,7,5,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,3,7,1,5,6] => [7,8,2,4,1,5,3,6] => [7,4,1,8,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,1,7,8,6,5,4,2] => [3,4,1,5,6,8,7,2] => [7,3,2,4,5,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,4,1,2,8,5,3] => [4,1,7,5,8,6,3,2] => [7,1,4,6,5,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,7,2,6,4,5,3,1] => [3,5,7,6,4,1,8,2] => [8,5,3,6,1,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,4,3,6,1,5] => [6,7,4,8,1,3,2,5] => [7,6,8,4,3,2,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,4,2,8,5,6,7,3] => [1,4,7,2,8,5,6,3] => [1,8,4,3,7,2,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,7,3,2,5,4,1] => [4,3,5,7,1,6,8,2] => [5,6,3,4,2,8,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[7,3,8,6,4,2,5,1] => [5,4,6,8,2,7,3,1] => [6,8,5,4,2,7,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,4,2,8,6,7,1,3] => [7,4,1,5,2,8,6,3] => [4,8,2,5,3,7,1,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,8,5,3,6,1,2,7] => [6,1,5,4,8,3,2,7] => [4,1,6,8,5,2,3,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[4,5,1,8,3,7,6,2] => [5,6,7,4,1,8,2,3] => [7,5,4,8,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,5,1,6,8,2,7,3] => [5,8,7,4,1,6,2,3] => [6,4,5,7,3,8,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,5,1,7,8,3,2,6] => [5,3,8,4,1,2,7,6] => [4,5,3,7,2,1,8,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,6,3,7,2,4,8,5] => [1,7,6,2,8,3,4,5] => [1,7,8,3,6,5,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,3,1,6,7,2,5,8] => [3,4,7,2,1,6,5,8] => [6,4,3,1,2,7,5,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[4,3,6,2,1,5,7,8] => [2,6,4,3,1,5,7,8] => [4,2,6,1,3,5,7,8] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[2,5,4,1,3,7,6,8] => [4,2,1,5,3,7,6,8] => [2,5,1,4,3,7,6,8] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[5,2,1,4,8,6,7,3] => [2,5,7,1,4,8,6,3] => [8,2,5,3,1,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,1,3,7,6,8] => [2,5,1,4,3,7,6,8] => [4,2,1,5,3,7,6,8] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[5,2,3,1,4,7,6,8] => [3,5,2,1,4,7,6,8] => [5,3,1,2,4,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[5,4,2,3,1,7,6,8] => [3,4,2,5,1,7,6,8] => [5,3,1,4,2,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[5,4,2,1,3,7,6,8] => [2,4,1,5,3,7,6,8] => [5,2,1,4,3,7,6,8] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[5,3,1,7,4,2,6,8] => [3,5,4,7,2,1,6,8] => [7,3,5,4,1,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,1,5,4,8,6,3,7] => [2,1,6,5,4,8,3,7] => [2,1,5,8,3,6,4,7] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[5,4,1,2,8,6,3,7] => [4,1,5,6,3,8,2,7] => [8,1,5,4,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,4,1,5,8,2] => [4,6,3,7,1,8,5,2] => [7,3,8,4,2,6,1,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,1,6,5,4,2,8,3] => [7,4,5,6,8,1,2,3] => [4,8,7,6,5,3,2,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,8,2,5,7] => [6,8,3,1,2,4,5,7] => [6,3,8,2,4,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,1,8,4,2,3,6,5] => [7,4,2,8,6,3,1,5] => [6,7,1,4,8,3,5,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[8,6,3,1,5,4,7,2] => [3,6,8,5,1,7,4,2] => [6,5,3,8,4,7,1,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,7,5,6,4,3,8,2] => [1,8,4,6,7,5,3,2] => [1,4,8,6,7,2,3,5] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,5,2,8,4,3,6] => [7,5,4,8,1,3,2,6] => [5,7,8,4,3,1,6,2] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,3,4,6,2,5,1,8] => [5,6,7,3,2,4,1,8] => [7,6,5,1,3,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,7,2,3,6,4,1,8] => [4,6,1,7,5,3,2,8] => [6,5,2,4,7,1,3,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[6,8,2,7,4,1,3,5] => [4,7,2,8,3,6,1,5] => [7,6,1,4,2,8,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,3,7,1,4,5,2,6] => [7,5,8,1,4,2,3,6] => [7,8,5,3,1,4,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,5,6,8,1,3,7,2] => [8,7,1,4,5,6,3,2] => [4,5,2,6,7,8,1,3] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[4,5,1,3,2,6,7,8] => [5,3,1,4,2,6,7,8] => [3,4,2,5,1,6,7,8] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[4,7,8,3,5,1,6,2] => [5,6,8,4,3,1,7,2] => [6,5,4,7,1,3,8,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[4,7,1,3,5,6,2,8] => [7,6,1,4,3,5,2,8] => [4,6,2,7,1,3,5,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[4,8,3,2,1,6,7,5] => [2,3,8,4,7,1,6,5] => [4,2,3,7,8,5,1,6] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[5,2,8,1,4,6,7,3] => [8,5,7,1,2,4,6,3] => [5,8,7,3,4,1,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,1,3,4,5,2,7,8] => [6,5,1,3,4,2,7,8] => [5,6,2,1,3,4,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[7,2,5,1,3,6,4,8] => [5,7,1,6,2,3,4,8] => [7,5,2,6,4,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,2,5,1,3,8,6,4] => [5,7,1,6,2,8,3,4] => [8,5,2,7,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,1,8,7,4,5] => [2,6,3,7,4,1,8,5] => [3,2,8,6,1,5,7,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,6,8,5,7,2,4,3] => [1,7,4,2,8,6,5,3] => [1,4,7,3,6,8,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[6,5,2,7,8,4,3,1] => [3,4,8,5,6,2,7,1] => [7,4,3,5,6,1,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,2,6,5,4,1,3,8] => [4,5,1,6,7,2,3,8] => [7,6,2,4,5,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,5,2,6,8,7,3,4] => [1,5,7,3,2,6,8,4] => [1,6,5,2,4,8,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[6,5,4,3,2,1,8,9,7] => [2,3,4,5,6,1,9,8,7] => [6,2,3,4,5,1,8,9,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]
[6,5,8,1,4,7,2,3] => [8,7,2,1,6,5,4,3] => [6,7,1,3,8,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[8,3,6,5,4,1,7,2] => [4,5,6,7,8,2,3,1] => [8,7,6,4,5,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,5,4,1,8,2] => [4,5,8,7,1,6,2,3] => [7,6,4,5,3,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,4,7,8,6,1,2,3] => [6,1,2,5,4,8,7,3] => [5,1,2,7,3,6,8,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[7,1,2,4,5,3,6,8] => [7,1,5,2,4,3,6,8] => [5,1,7,3,2,4,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[7,2,4,5,8,1,3,6] => [8,7,1,2,4,3,5,6] => [7,8,2,3,1,5,6,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,5,7,1,2,3,6] => [7,1,2,4,8,3,5,6] => [4,1,2,8,7,5,6,3] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[6,2,5,8,1,3,7,4] => [8,6,1,7,2,5,3,4] => [6,8,2,7,4,1,5,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,2,5,1,7,8,3,4] => [5,6,8,3,2,1,7,4] => [7,6,5,1,3,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,2,3,7,6,1,8,5] => [6,4,2,3,7,8,5,1] => [4,8,1,2,7,6,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,3,1,5,7,8] => [3,6,4,1,2,5,7,8] => [6,3,4,2,1,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,6,2,3,8,4,7,5] => [1,6,2,8,7,3,4,5] => [1,8,2,6,7,5,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,8,7,3,5,6,4] => [1,2,7,6,3,5,8,4] => [1,2,6,8,4,3,7,5] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[7,1,6,4,3,2,5,8] => [7,3,4,6,2,1,5,8] => [3,7,4,6,1,5,2,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[8,4,1,6,3,2,7,5] => [4,3,8,6,7,2,1,5] => [4,8,3,6,7,2,5,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,3,2,5,7,8] => [1,3,6,4,2,5,7,8] => [1,4,3,6,2,5,7,8] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[7,1,6,4,3,2,8,5] => [7,3,4,6,8,1,2,5] => [3,8,4,7,6,5,2,1] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,2,7,5,8,1] => [8,3,6,4,7,2,5,1] => [3,6,4,8,7,2,1,5] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[6,1,5,7,3,8,2,4] => [6,8,7,2,1,5,3,4] => [8,6,7,2,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,4,7,8,2,3] => [1,8,2,5,6,4,7,3] => [1,5,2,7,6,3,8,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[7,1,8,3,2,5,6,4] => [7,3,8,6,2,5,1,4] => [6,7,3,8,2,1,5,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[7,6,2,3,1,8,5,4] => [3,6,2,5,7,8,4,1] => [7,3,1,8,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,3,5,1,7,8,6,4] => [5,2,3,6,1,8,7,4] => [2,3,7,5,4,6,8,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,7,3,4,1,6,8,5] => [4,2,7,3,8,1,6,5] => [2,8,4,1,7,5,3,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,8,6,4,3,5] => [1,2,4,6,3,8,7,5] => [1,2,7,4,3,6,8,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[4,7,8,6,2,1,3,5] => [2,6,1,4,3,8,7,5] => [4,2,1,7,3,6,8,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[8,6,7,1,5,4,2,3] => [7,4,2,5,1,8,6,3] => [4,8,1,5,3,7,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,7,8,6,2,4] => [5,6,3,2,1,8,7,4] => [5,3,7,1,4,6,8,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[5,2,4,1,7,6,8,3] => [4,5,8,2,1,7,6,3] => [7,5,4,2,3,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,1,8,6,7,4,2,5] => [3,4,1,7,2,8,6,5] => [8,3,2,4,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,8,5,2,3,4] => [1,5,2,3,8,7,6,4] => [1,7,2,3,5,8,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,3,2,5,4,7,6,9,10,8] => [1,3,2,5,4,7,6,10,9,8] => [1,3,2,5,4,7,6,9,10,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,2,4,3,6,7,5,9,10,8] => [1,2,4,3,7,6,5,10,9,8] => [1,2,4,3,6,7,5,9,10,8] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[8,3,5,6,4,7,1,2] => [7,1,8,6,3,5,4,2] => [7,1,6,8,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,4,1,3,5,7,6,2] => [4,8,2,6,3,7,5,1] => [8,4,1,6,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,3,4,8,6,2] => [7,6,1,3,5,8,4,2] => [5,7,2,1,8,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[8,5,6,1,3,7,2,4] => [6,7,1,2,8,5,3,4] => [8,7,2,3,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,9,1,8,2,7,3] => [9,8,7,6,5,4,2,1,3] => [5,6,7,8,9,1,3,4,2] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[5,9,1,8,2,7,3,6,4] => [9,8,7,6,5,3,2,1,4] => [5,6,7,8,9,2,3,4,1] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[9,1,8,2,7,3,6,4,5] => [9,8,7,6,4,3,2,1,5] => [6,7,8,9,1,3,4,5,2] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[5,4,3,8,1,7,2,6] => [8,7,4,5,3,2,1,6] => [4,5,8,7,1,2,6,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[5,6,4,8,2,9,1,7,3] => [9,8,7,6,5,4,1,2,3] => [5,6,7,8,9,1,4,3,2] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[6,5,10,1,9,2,8,3,7,4] => [10,9,8,7,6,5,3,2,1,4] => [6,7,8,9,10,1,3,4,5,2] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[6,4,9,1,8,2,7,3,5] => [9,8,7,6,3,4,2,1,5] => [6,7,8,9,2,3,4,5,1] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[5,6,4,7,3,8,2,10,1,9] => [10,8,7,6,5,4,3,2,1,9] => [5,6,7,8,10,1,2,3,4,9] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[7,2,4,6,5,1,8,3] => [5,6,7,3,8,4,2,1] => [8,7,6,1,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,6,2,1,8,3] => [2,6,7,4,5,8,3,1] => [5,2,4,7,8,6,1,3] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[2,5,7,6,1,8,4,3] => [6,2,4,7,5,8,3,1] => [2,5,7,4,8,6,1,3] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,8,7,2,3,1,6,5] => [3,7,2,4,6,1,8,5] => [4,3,1,6,8,5,7,2] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[5,6,8,1,2,4,3,7] => [8,1,4,2,5,6,3,7] => [4,1,5,3,6,8,2,7] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[8,1,2,4,3,7,5,6] => [8,1,4,2,7,5,3,6] => [4,1,7,3,8,2,6,5] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[3,2,6,7,5,1,8,4] => [5,3,2,7,8,6,4,1] => [3,7,1,6,5,8,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[5,2,6,4,1,8,3,7] => [4,6,5,8,3,2,1,7] => [8,5,6,4,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,7,1,8,6,5] => [7,3,4,2,6,8,1,5] => [3,7,4,1,8,6,5,2] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[4,5,7,1,3,6,2,8] => [7,6,1,4,5,3,2,8] => [4,5,2,6,7,1,3,8] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[7,2,3,1,6,8,4,5] => [3,7,2,8,4,1,6,5] => [8,3,1,7,2,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,6,2,1,3,4] => [2,6,1,3,5,8,7,4] => [5,2,1,3,7,6,8,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[5,7,8,1,6,2,3,4] => [8,6,2,3,5,1,7,4] => [5,6,1,2,7,4,8,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,5,4,3,8,2,6,7] => [1,8,4,5,3,2,6,7] => [1,4,8,5,2,3,6,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,5,4,3,7,2,6,8] => [1,7,4,5,3,2,6,8] => [1,4,7,5,2,3,6,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,5,3,8,7,2,6,4] => [1,7,5,6,3,2,8,4] => [1,5,8,6,3,4,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,6,4,2,7,3,8,5] => [1,4,6,7,8,3,2,5] => [1,8,7,4,6,3,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,5,8,6,3,7] => [1,4,6,2,5,8,3,7] => [1,5,4,3,8,6,2,7] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,6,2,7,5,4,3,8] => [1,6,4,5,7,2,3,8] => [1,4,7,6,5,3,2,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[4,8,2,1,5,7,3,6] => [2,8,7,4,1,3,5,6] => [4,2,7,8,3,5,6,1] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[4,8,2,5,1,6,3,7] => [5,8,6,4,2,1,3,7] => [6,4,5,8,2,3,1,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,1,7,3,6,4,2,8] => [5,4,6,7,1,2,3,8] => [6,7,5,4,3,2,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[9,8,3,4,5,6,7,1,2] => [7,1,8,3,4,5,6,9,2] => [9,1,7,2,3,4,5,8,6] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[6,2,8,7,3,4,5,1] => [5,6,7,3,4,2,8,1] => [8,6,5,1,2,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[11,2,1,3,4,5,6,7,8,9,10] => [2,11,1,3,4,5,6,7,8,9,10] => [11,2,1,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[7,3,4,8,5,6,2,1] => [2,6,7,3,8,5,4,1] => [8,2,7,1,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,8,4,5,2,1] => [2,5,7,8,4,3,6,1] => [8,2,7,5,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[12,2,1,3,4,5,6,7,8,9,10,11] => [2,12,1,3,4,5,6,7,8,9,10,11] => [12,2,1,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[5,6,2,8,3,1,7,4] => [3,8,6,7,5,1,2,4] => [7,3,5,6,8,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,1,3,4,8,5,2,7] => [6,5,1,3,8,4,2,7] => [6,8,2,1,5,3,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,4,7,5,6,2,8,3] => [1,6,8,4,7,5,2,3] => [1,6,4,8,7,2,5,3] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[4,5,7,8,2,3,6,1] => [6,8,2,4,5,3,7,1] => [5,4,1,6,7,2,8,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[3,7,2,8,5,1,6,4] => [5,8,3,7,6,2,4,1] => [5,3,8,6,7,2,1,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,7,4,8,3,5,6,2] => [1,6,8,7,3,5,4,2] => [1,8,6,7,3,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,8,3,6,1,4] => [6,5,7,1,8,2,3,4] => [7,8,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,6,2,3,8,1,7,5] => [8,6,2,4,7,3,1,5] => [4,6,1,8,7,3,5,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[5,2,4,8,3,7,6,1] => [6,5,7,2,4,8,1,3] => [7,8,5,2,1,6,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,8,3,5,4,1,2] => [4,1,5,8,2,7,6,3] => [7,1,5,4,3,8,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,3,5,8,4,6,2,7] => [1,6,3,8,5,4,2,7] => [1,3,6,5,8,2,4,7] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[5,2,4,8,3,1,6,7] => [3,8,5,1,4,2,6,7] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,4,1,6,2] => [4,5,6,7,1,2,8,3] => [8,6,5,4,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,4,1,7,5,2] => [4,8,5,7,6,3,2,1] => [8,4,6,5,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,3,6,4,1,5] => [4,2,6,8,3,1,7,5] => [2,7,6,4,1,5,8,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,8,4,7,6,2,1,5] => [2,6,3,7,4,8,1,5] => [3,2,8,7,1,6,5,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[8,1,5,7,6,3,2,4] => [8,3,6,2,1,7,5,4] => [3,8,6,1,4,7,2,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,6,7,5,3,2,4] => [1,3,5,2,7,8,6,4] => [1,8,3,2,5,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,8,6,1,7,4,3] => [6,5,4,8,2,7,3,1] => [5,6,8,4,2,7,1,3] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[7,3,2,6,1,8,4,5] => [6,3,7,8,4,2,1,5] => [7,8,3,6,1,4,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,2,7,1,3,8,4,5] => [7,6,1,8,4,2,3,5] => [7,8,2,6,1,5,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,8,3,1,6,5,2] => [3,8,5,6,7,2,1,4] => [8,3,5,7,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,2,7,6,1,3] => [6,4,2,7,5,8,1,3] => [5,7,1,4,8,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,4,8,2,3,7,1,6] => [7,8,2,5,4,1,3,6] => [7,5,1,8,2,4,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,4,8,6,5,3,1] => [3,5,6,1,8,7,4,2] => [8,6,3,2,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,1,3,4,7,5] => [8,2,1,3,7,6,4,5] => [2,6,1,3,7,8,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,2,6,1,3,8,4,7] => [6,5,1,8,2,3,4,7] => [6,8,2,5,4,3,1,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,8,4,7,1,2,5,3] => [7,1,5,8,2,6,4,3] => [6,1,7,5,4,8,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,8,7,2,5,6,3,4] => [1,7,6,3,2,5,8,4] => [1,6,8,2,4,3,7,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,8,7,6,3,5,4,2] => [1,4,5,6,2,7,8,3] => [1,8,5,4,3,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,5,7,6,4,3,2] => [1,3,4,6,7,8,2,5] => [1,8,3,4,7,6,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,7,3,8,4,9,5] => [1,6,7,8,9,2,3,4,5] => [1,9,8,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,10,5,9,4,8,3,7,2,6] => [1,7,8,9,10,2,3,4,5,6] => [1,10,9,8,7,5,6,4,3,2] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[4,2,8,5,6,1,3,7] => [6,4,1,2,8,5,3,7] => [4,8,2,3,6,1,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,6,1,8,3,5] => [6,7,8,4,3,2,1,5] => [7,6,4,8,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,2,4,1,7,8,3,5] => [4,6,8,2,3,1,7,5] => [7,6,4,2,1,5,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,7,3,2,1,5,8,4] => [2,3,7,8,1,6,5,4] => [7,2,3,6,4,8,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,6,7,3,2,1,5,4] => [2,3,7,5,1,8,6,4] => [5,2,3,8,4,7,1,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,4,8,3,2,6,7,5] => [1,3,8,4,7,2,6,5] => [1,4,3,7,8,5,2,6] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[3,1,6,4,8,5,7,2] => [3,7,1,6,8,4,5,2] => [7,3,2,8,6,4,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,6,1,3,7,4,5] => [6,8,1,7,4,2,3,5] => [8,6,2,7,1,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,5,8,7,2,4] => [6,7,1,2,3,5,8,4] => [8,6,2,3,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,7,8,1,3,6] => [8,4,1,2,5,3,7,6] => [4,5,2,3,7,1,8,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,3,6,2,5,7,4,8] => [1,6,3,7,2,5,4,8] => [1,3,7,6,4,2,5,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[4,8,1,3,6,2,5,7] => [8,6,1,4,2,3,5,7] => [4,6,2,8,3,5,1,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[3,6,1,4,7,8,2,5] => [6,8,3,1,2,4,7,5] => [6,3,7,2,4,5,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[2,5,3,6,8,1,4,7] => [8,2,5,1,3,6,4,7] => [2,5,6,3,4,8,1,7] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[2,5,7,1,3,6,4,8] => [7,2,1,6,5,3,4,8] => [2,5,1,6,7,4,3,8] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[4,1,5,3,2,7,6,8] => [4,3,5,1,2,7,6,8] => [4,5,3,2,1,7,6,8] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[7,3,5,1,4,2,6,8] => [5,4,7,1,3,2,6,8] => [5,7,4,3,1,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[2,4,3,6,7,1,5,8] => [7,2,4,3,1,6,5,8] => [2,4,6,1,3,7,5,8] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[6,1,5,3,7,2,4,8] => [6,7,5,2,1,3,4,8] => [6,5,7,2,4,3,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[5,6,1,8,4,3,7,2] => [6,7,4,8,5,1,3,2] => [6,5,7,4,8,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[2,7,5,1,6,8,3,4] => [5,2,7,1,8,3,6,4] => [2,8,7,3,5,4,1,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,8,3,4,7,6,2] => [5,6,7,2,1,8,4,3] => [8,7,5,2,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,5,7,6,2] => [4,6,7,1,2,8,5,3] => [8,7,4,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,6,7,5,3,4] => [1,8,5,3,7,2,6,4] => [1,5,8,2,7,4,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,6,1,4,8,3,5,2] => [6,5,7,3,1,8,4,2] => [7,8,5,1,4,6,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,4,3,6,2,8,5,1] => [5,8,4,6,7,1,3,2] => [7,4,8,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,2,7,4,3,6,1] => [6,5,4,8,7,2,3,1] => [5,7,8,4,6,2,1,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,4,2,8,5,3,6,1] => [6,4,7,5,8,2,3,1] => [6,8,4,7,5,2,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,2,6,1,4,3,5,8] => [6,7,4,1,3,2,5,8] => [6,4,7,3,1,5,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[5,3,2,1,8,7,4,6] => [2,3,5,7,1,4,8,6] => [8,2,3,5,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,3,2,7,4,6] => [1,3,5,8,7,2,4,6] => [1,8,3,5,7,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,4,7,2,3,5,6] => [1,7,2,8,3,5,4,6] => [1,8,2,7,4,3,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,1,6,2,5,4,7] => [8,6,3,5,2,1,4,7] => [3,5,6,8,2,4,1,7] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[3,2,8,1,7,5,4,6] => [8,3,2,5,7,4,1,6] => [3,5,1,8,7,2,6,4] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[6,5,1,2,4,7,3,8] => [5,1,6,3,7,4,2,8] => [7,1,6,2,5,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,8,2,6,4,3,1] => [3,4,6,8,7,2,5,1] => [8,6,3,4,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,7,3,4,2,5] => [1,4,7,3,2,6,8,5] => [1,6,4,2,3,8,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[7,6,4,1,2,8,3,5] => [4,1,6,7,3,8,2,5] => [8,1,7,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,5,2,8,3,1] => [3,8,5,6,4,7,1,2] => [8,3,5,6,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,6,7,8,5,3] => [4,1,5,2,8,6,7,3] => [6,1,4,3,5,7,8,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[3,7,8,2,1,4,5,6] => [2,8,3,1,4,5,7,6] => [3,2,7,1,4,5,8,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[4,8,3,5,6,2,1,7] => [2,6,8,4,3,5,1,7] => [6,2,4,8,1,3,5,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,3,5,6,2,7,1] => [7,6,8,4,3,5,2,1] => [6,7,4,8,1,2,3,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,8,6,7,2,4,5,3] => [1,7,5,2,4,8,6,3] => [1,5,8,3,2,7,4,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,7,8,6,2,4,5,3] => [1,6,5,2,4,8,7,3] => [1,5,7,3,2,6,8,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[3,6,8,1,4,5,7,2] => [8,7,3,1,4,6,5,2] => [3,6,7,2,1,8,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[2,1,4,3,6,5,10,7,9,8] => [2,1,4,3,6,5,10,9,7,8] => [2,1,4,3,6,5,9,10,8,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[2,1,4,3,8,5,7,6,10,9] => [2,1,4,3,8,7,5,6,10,9] => [2,1,4,3,7,8,6,5,10,9] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,4,3,10,9,7,5,6,8] => [2,1,4,3,7,5,9,6,10,8] => [2,1,4,3,10,5,7,6,9,8] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,3,5,4,8,7,10,9] => [2,1,6,5,3,4,8,7,10,9] => [2,1,5,6,4,3,8,7,10,9] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[2,1,6,3,5,4,10,7,9,8] => [2,1,6,5,3,4,10,9,7,8] => [2,1,5,6,4,3,9,10,8,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[2,1,8,7,5,3,4,6,10,9] => [2,1,5,3,7,4,8,6,10,9] => [2,1,8,3,5,4,7,6,10,9] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,1,3,2,6,5,8,7,10,9] => [4,3,1,2,6,5,8,7,10,9] => [3,4,2,1,6,5,8,7,10,9] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[4,1,3,2,6,5,10,7,9,8] => [4,3,1,2,6,5,10,9,7,8] => [3,4,2,1,6,5,9,10,8,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[4,1,3,2,8,5,7,6,10,9] => [4,3,1,2,8,7,5,6,10,9] => [3,4,2,1,7,8,6,5,10,9] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,4,3,6,5,8,7,12,9,11,10] => [2,1,4,3,6,5,8,7,12,11,9,10] => [2,1,4,3,6,5,8,7,11,12,10,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[2,1,4,3,6,5,10,7,9,8,12,11] => [2,1,4,3,6,5,10,9,7,8,12,11] => [2,1,4,3,6,5,9,10,8,7,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,4,3,6,5,12,11,9,7,8,10] => [2,1,4,3,6,5,9,7,11,8,12,10] => [2,1,4,3,6,5,12,7,9,8,11,10] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,3,8,5,7,6,10,9,12,11] => [2,1,4,3,8,7,5,6,10,9,12,11] => [2,1,4,3,7,8,6,5,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,8,5,7,6,12,9,11,10] => [2,1,4,3,8,7,5,6,12,11,9,10] => [2,1,4,3,7,8,6,5,11,12,10,9] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[2,1,4,3,10,9,7,5,6,8,12,11] => [2,1,4,3,7,5,9,6,10,8,12,11] => [2,1,4,3,10,5,7,6,9,8,12,11] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,1,6,3,5,4,8,7,10,9,12,11] => [2,1,6,5,3,4,8,7,10,9,12,11] => [2,1,5,6,4,3,8,7,10,9,12,11] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,6,3,5,4,8,7,12,9,11,10] => [2,1,6,5,3,4,8,7,12,11,9,10] => [2,1,5,6,4,3,8,7,11,12,10,9] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[2,1,6,3,5,4,10,7,9,8,12,11] => [2,1,6,5,3,4,10,9,7,8,12,11] => [2,1,5,6,4,3,9,10,8,7,12,11] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,8,7,5,3,4,6,10,9,12,11] => [2,1,5,3,7,4,8,6,10,9,12,11] => [2,1,8,3,5,4,7,6,10,9,12,11] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[4,1,3,2,6,5,8,7,10,9,12,11] => [4,3,1,2,6,5,8,7,10,9,12,11] => [3,4,2,1,6,5,8,7,10,9,12,11] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[4,1,3,2,6,5,8,7,12,9,11,10] => [4,3,1,2,6,5,8,7,12,11,9,10] => [3,4,2,1,6,5,8,7,11,12,10,9] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[4,1,3,2,6,5,10,7,9,8,12,11] => [4,3,1,2,6,5,10,9,7,8,12,11] => [3,4,2,1,6,5,9,10,8,7,12,11] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[4,1,3,2,8,5,7,6,10,9,12,11] => [4,3,1,2,8,7,5,6,10,9,12,11] => [3,4,2,1,7,8,6,5,10,9,12,11] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[4,1,3,2,8,5,7,6,12,9,11,10] => [4,3,1,2,8,7,5,6,12,11,9,10] => [3,4,2,1,7,8,6,5,11,12,10,9] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[6,5,3,1,2,4,8,7,10,9,12,11] => [3,1,5,2,6,4,8,7,10,9,12,11] => [6,1,3,2,5,4,8,7,10,9,12,11] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[6,5,3,1,2,4,12,11,9,7,8,10] => [3,1,5,2,6,4,9,7,11,8,12,10] => [6,1,3,2,5,4,12,7,9,8,11,10] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,4,6,3,7,2,8] => [5,7,6,1,4,3,2,8] => [7,5,6,3,1,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,5,4,7,8,3,6,2] => [1,6,8,5,4,3,7,2] => [1,6,5,7,2,3,8,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,4,8,5,7,3,6,2] => [1,6,7,4,8,3,5,2] => [1,7,4,8,6,3,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,2,4,7,8,3,6,1] => [6,5,8,2,4,3,7,1] => [6,7,5,2,1,3,8,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[3,8,6,1,2,7,5,4] => [6,1,3,5,8,7,4,2] => [3,1,6,8,5,7,2,4] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[4,8,1,5,6,2,3,7] => [8,6,2,4,1,5,3,7] => [4,6,1,8,3,2,5,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[6,1,4,3,7,2,8,5] => [6,7,4,1,8,3,2,5] => [7,4,8,3,6,2,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,6,4,1,7,3,8,2] => [4,6,8,7,5,2,1,3] => [7,6,4,5,8,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,1,4,6,2,8,5,3] => [7,6,5,1,8,4,2,3] => [6,7,8,3,5,1,4,2] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[7,1,4,5,8,6,3,2] => [7,3,6,1,4,8,5,2] => [3,8,7,2,1,6,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,5,6,8,3,2] => [1,3,8,7,4,5,6,2] => [1,7,3,8,2,4,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,2,4,5,6,8,3,1] => [3,8,7,1,4,5,6,2] => [8,3,7,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,3,1,6,8,2] => [3,4,7,8,5,1,6,2] => [7,5,3,4,8,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,4,7,8,3,1,6,5] => [3,2,8,4,6,1,7,5] => [2,4,3,6,7,5,8,1] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[5,4,3,6,8,1,7,2] => [8,7,4,5,3,6,1,2] => [4,5,7,6,1,8,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[4,6,1,7,3,2,8,5] => [6,3,7,4,8,1,2,5] => [4,7,3,8,6,5,2,1] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,7,3,6,4,2,8,5] => [1,4,6,7,8,2,3,5] => [1,8,7,4,6,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,5,1,2,8,6] => [5,1,7,4,3,8,2,6] => [5,1,4,8,2,7,6,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,6,4,2,3,5,8,7] => [1,4,2,6,3,5,8,7] => [1,6,2,4,3,5,8,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[8,7,1,5,6,4,2,3] => [7,4,2,6,1,5,8,3] => [4,8,1,6,3,2,7,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,7,3,6,1,4,5,2] => [6,5,7,1,4,3,8,2] => [6,8,5,3,1,2,7,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,1,4,6,3,5,2] => [7,5,6,1,3,4,8,2] => [5,8,6,3,2,1,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,8,2,1,3,7,5,4] => [2,8,1,5,7,6,3,4] => [5,2,1,7,6,8,4,3] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[2,8,7,1,3,5,4,6] => [7,2,1,5,3,4,8,6] => [2,5,1,8,4,3,7,6] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[4,7,1,6,8,2,3,5] => [7,8,2,4,3,1,6,5] => [7,4,1,8,2,5,3,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,7,1,6,2,4,3,5] => [7,6,4,2,3,1,8,5] => [4,6,8,2,1,5,7,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[3,8,5,1,7,6,2,4] => [5,8,3,1,6,7,2,4] => [5,3,8,2,6,7,4,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[3,8,5,7,6,2,1,4] => [2,6,3,1,7,8,4,5] => [3,2,8,1,7,6,5,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[4,3,5,2,6,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => [4,5,6,1,2,3,7,8,9] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[3,2,4,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [3,4,1,2,5,6,7,8,9,10] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,5,2,6,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [4,5,6,1,2,3,7,8,9,10] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[5,4,6,3,7,2,8,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => [5,6,7,8,1,2,3,4,9,10] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[8,6,2,1,3,7,4,5] => [2,6,1,8,3,7,4,5] => [8,2,1,6,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,5,3,1,7,4] => [3,5,8,7,1,6,2,4] => [7,5,3,6,4,8,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,1,3,5,2,4,7,8] => [6,5,1,2,3,4,7,8] => [5,6,2,3,4,1,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[4,3,7,8,2,1,6,5] => [2,8,4,3,6,1,7,5] => [4,2,6,1,7,5,8,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[4,8,7,2,1,5,6,3] => [2,7,6,4,1,5,8,3] => [4,2,6,8,3,1,7,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[7,3,8,2,5,1,6,4] => [5,8,7,6,2,1,3,4] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,4,5,1,2,6] => [5,1,7,8,4,2,3,6] => [8,1,7,5,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,6,8,1,2,7] => [8,1,5,4,3,6,2,7] => [4,1,5,6,2,8,3,7] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[7,8,6,2,1,4,3,5] => [2,6,4,1,3,8,7,5] => [4,2,7,3,1,6,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[7,2,5,4,3,1,6,8] => [3,4,5,7,2,1,6,8] => [7,5,3,4,1,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[3,7,6,4,1,5,2,8] => [4,6,3,5,2,7,1,8] => [4,3,7,5,1,6,2,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[8,6,3,1,2,7,5,4] => [3,1,6,5,8,7,4,2] => [6,1,3,8,5,7,2,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,8,3,1,4,7,2,6] => [3,8,7,2,5,1,4,6] => [7,3,5,1,8,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,6,4,1,5,8,2,3] => [4,6,2,7,1,8,5,3] => [8,7,1,4,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,4,7,1,3,6] => [7,5,1,8,2,3,4,6] => [7,8,2,5,4,3,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,1,2,8,6,5,4] => [3,1,7,5,6,8,2,4] => [5,1,3,8,7,6,4,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[8,3,7,6,4,1,2,5] => [4,1,6,7,2,8,3,5] => [8,1,7,4,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,6,2,1,5,7] => [2,6,4,3,1,8,5,7] => [4,2,8,1,3,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,6,8,5,2,3,1,7] => [3,5,2,4,8,6,1,7] => [4,3,1,6,5,8,2,7] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[8,7,1,3,2,6,5,4] => [7,3,1,5,6,2,8,4] => [3,5,2,8,6,4,7,1] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[8,7,1,3,2,4,5,6] => [7,3,1,2,4,5,8,6] => [3,8,2,1,4,5,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,8,2,4,6,3,7] => [5,8,6,2,1,4,3,7] => [8,5,6,2,4,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,3,6,8,5,1] => [5,4,8,2,7,1,6,3] => [5,8,4,2,7,3,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,1,4,3,6,5,10,7,8,9] => [2,1,4,3,6,5,10,7,8,9] => [2,1,4,3,6,5,10,7,8,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,8,5,6,7,10,9] => [2,1,4,3,8,5,6,7,10,9] => [2,1,4,3,8,5,6,7,10,9] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,4,3,10,5,6,7,8,9] => [2,1,4,3,10,5,6,7,8,9] => [2,1,4,3,10,5,6,7,8,9] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,3,4,5,8,7,10,9] => [2,1,6,3,4,5,8,7,10,9] => [2,1,6,3,4,5,8,7,10,9] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,6,3,4,5,10,7,8,9] => [2,1,6,3,4,5,10,7,8,9] => [2,1,6,3,4,5,10,7,8,9] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[2,1,8,3,4,5,6,7,10,9] => [2,1,8,3,4,5,6,7,10,9] => [2,1,8,3,4,5,6,7,10,9] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,1,2,3,6,5,10,7,8,9] => [4,1,2,3,6,5,10,7,8,9] => [4,1,2,3,6,5,10,7,8,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[4,1,2,3,8,5,6,7,10,9] => [4,1,2,3,8,5,6,7,10,9] => [4,1,2,3,8,5,6,7,10,9] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[6,1,2,3,4,5,8,7,10,9] => [6,1,2,3,4,5,8,7,10,9] => [6,1,2,3,4,5,8,7,10,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,6,5,8,7,12,9,10,11] => [2,1,4,3,6,5,8,7,12,9,10,11] => [2,1,4,3,6,5,8,7,12,9,10,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,6,5,10,7,8,9,12,11] => [2,1,4,3,6,5,10,7,8,9,12,11] => [2,1,4,3,6,5,10,7,8,9,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,4,3,6,5,12,7,8,9,10,11] => [2,1,4,3,6,5,12,7,8,9,10,11] => [2,1,4,3,6,5,12,7,8,9,10,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,3,8,5,6,7,10,9,12,11] => [2,1,4,3,8,5,6,7,10,9,12,11] => [2,1,4,3,8,5,6,7,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,4,3,8,5,6,7,12,9,10,11] => [2,1,4,3,8,5,6,7,12,9,10,11] => [2,1,4,3,8,5,6,7,12,9,10,11] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[2,1,4,3,10,5,6,7,8,9,12,11] => [2,1,4,3,10,5,6,7,8,9,12,11] => [2,1,4,3,10,5,6,7,8,9,12,11] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[2,1,4,3,12,5,6,7,8,9,10,11] => [2,1,4,3,12,5,6,7,8,9,10,11] => [2,1,4,3,12,5,6,7,8,9,10,11] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,4,5,8,7,10,9,12,11] => [2,1,6,3,4,5,8,7,10,9,12,11] => [2,1,6,3,4,5,8,7,10,9,12,11] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[2,1,6,3,4,5,8,7,12,9,10,11] => [2,1,6,3,4,5,8,7,12,9,10,11] => [2,1,6,3,4,5,8,7,12,9,10,11] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[2,1,6,3,4,5,10,7,8,9,12,11] => [2,1,6,3,4,5,10,7,8,9,12,11] => [2,1,6,3,4,5,10,7,8,9,12,11] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[2,1,6,3,4,5,12,7,8,9,10,11] => [2,1,6,3,4,5,12,7,8,9,10,11] => [2,1,6,3,4,5,12,7,8,9,10,11] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,8,3,4,5,6,7,10,9,12,11] => [2,1,8,3,4,5,6,7,10,9,12,11] => [2,1,8,3,4,5,6,7,10,9,12,11] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[2,1,8,3,4,5,6,7,12,9,10,11] => [2,1,8,3,4,5,6,7,12,9,10,11] => [2,1,8,3,4,5,6,7,12,9,10,11] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[2,1,10,3,4,5,6,7,8,9,12,11] => [2,1,10,3,4,5,6,7,8,9,12,11] => [2,1,10,3,4,5,6,7,8,9,12,11] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[2,1,12,3,4,5,6,7,8,9,10,11] => [2,1,12,3,4,5,6,7,8,9,10,11] => [2,1,12,3,4,5,6,7,8,9,10,11] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[4,1,2,3,6,5,8,7,10,9,12,11] => [4,1,2,3,6,5,8,7,10,9,12,11] => [4,1,2,3,6,5,8,7,10,9,12,11] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[4,1,2,3,6,5,8,7,12,9,10,11] => [4,1,2,3,6,5,8,7,12,9,10,11] => [4,1,2,3,6,5,8,7,12,9,10,11] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[4,1,2,3,6,5,10,7,8,9,12,11] => [4,1,2,3,6,5,10,7,8,9,12,11] => [4,1,2,3,6,5,10,7,8,9,12,11] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[4,1,2,3,6,5,12,7,8,9,10,11] => [4,1,2,3,6,5,12,7,8,9,10,11] => [4,1,2,3,6,5,12,7,8,9,10,11] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,2,3,8,5,6,7,10,9,12,11] => [4,1,2,3,8,5,6,7,10,9,12,11] => [4,1,2,3,8,5,6,7,10,9,12,11] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[4,1,2,3,8,5,6,7,12,9,10,11] => [4,1,2,3,8,5,6,7,12,9,10,11] => [4,1,2,3,8,5,6,7,12,9,10,11] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[4,1,2,3,10,5,6,7,8,9,12,11] => [4,1,2,3,10,5,6,7,8,9,12,11] => [4,1,2,3,10,5,6,7,8,9,12,11] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,1,2,3,12,5,6,7,8,9,10,11] => [4,1,2,3,12,5,6,7,8,9,10,11] => [4,1,2,3,12,5,6,7,8,9,10,11] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,4,5,8,7,10,9,12,11] => [6,1,2,3,4,5,8,7,10,9,12,11] => [6,1,2,3,4,5,8,7,10,9,12,11] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[6,1,2,3,4,5,8,7,12,9,10,11] => [6,1,2,3,4,5,8,7,12,9,10,11] => [6,1,2,3,4,5,8,7,12,9,10,11] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[6,1,2,3,4,5,10,7,8,9,12,11] => [6,1,2,3,4,5,10,7,8,9,12,11] => [6,1,2,3,4,5,10,7,8,9,12,11] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[6,1,2,3,4,5,12,7,8,9,10,11] => [6,1,2,3,4,5,12,7,8,9,10,11] => [6,1,2,3,4,5,12,7,8,9,10,11] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,1,2,3,4,5,6,7,10,9,12,11] => [8,1,2,3,4,5,6,7,10,9,12,11] => [8,1,2,3,4,5,6,7,10,9,12,11] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[8,1,2,3,4,5,6,7,12,9,10,11] => [8,1,2,3,4,5,6,7,12,9,10,11] => [8,1,2,3,4,5,6,7,12,9,10,11] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[10,1,2,3,4,5,6,7,8,9,12,11] => [10,1,2,3,4,5,6,7,8,9,12,11] => [10,1,2,3,4,5,6,7,8,9,12,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[12,1,2,3,4,5,6,7,8,9,10,11] => [12,1,2,3,4,5,6,7,8,9,10,11] => [12,1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,5,4,8,7,3,2,6] => [1,3,7,5,4,2,8,6] => [1,5,3,8,2,4,7,6] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[5,2,4,6,7,3,1,8] => [3,7,5,1,4,6,2,8] => [6,3,5,2,1,7,4,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[4,7,1,3,5,8,2,6] => [7,8,1,4,3,2,5,6] => [7,4,2,8,1,5,6,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,4,8,3,5,6,1] => [6,7,8,2,3,5,4,1] => [8,7,6,2,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,4,3,6,8,5] => [7,1,4,2,8,3,6,5] => [4,1,8,3,7,5,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[7,1,4,5,8,3,6,2] => [7,6,8,1,4,3,5,2] => [7,8,6,3,1,4,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,5,8,1,2,4,3,6] => [8,1,4,2,7,3,5,6] => [4,1,7,3,8,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[7,1,2,4,3,6,5,8] => [7,1,4,2,6,3,5,8] => [4,1,6,3,7,5,2,8] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[5,8,3,1,2,6,7,4] => [3,1,8,7,5,2,6,4] => [5,1,3,7,8,4,2,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[3,5,2,1,6,7,4,8] => [2,5,3,7,1,6,4,8] => [3,2,6,5,4,7,1,8] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[6,1,5,2,8,7,4,3] => [6,5,4,7,1,2,8,3] => [5,6,8,4,3,2,7,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[5,4,6,7,1,3,2,8] => [7,3,1,5,4,6,2,8] => [3,5,2,6,1,7,4,8] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[5,3,1,4,6,7,2,8] => [3,5,7,2,4,6,1,8] => [6,5,3,1,2,7,4,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[8,4,6,3,1,2,7,5] => [3,1,6,8,7,4,2,5] => [8,1,3,6,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,4,1,5,7,2] => [4,6,3,8,1,7,5,2] => [6,3,8,4,2,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,7,1,4,5,2,3,6] => [7,5,2,1,4,3,8,6] => [5,8,1,3,2,4,7,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[3,8,6,4,5,1,7,2] => [5,7,3,6,4,8,1,2] => [5,3,8,7,1,6,4,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,4,6,3,1,2,8,5] => [3,1,6,7,8,4,2,5] => [8,1,3,7,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,5,7,8,1,3] => [8,6,1,4,2,5,7,3] => [4,6,2,7,3,1,8,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[4,8,3,5,7,1,6,2] => [7,6,8,4,3,1,5,2] => [6,7,4,8,1,5,2,3] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[4,8,3,5,6,1,2,7] => [6,1,8,4,3,5,2,7] => [6,1,4,8,2,3,5,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,8,2,5,6,7,1,3] => [7,8,1,4,2,5,6,3] => [7,4,2,8,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,4,7,2,6,5,8,3] => [1,7,8,4,6,2,5,3] => [1,6,4,7,8,5,2,3] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[7,2,4,6,1,8,3,5] => [6,7,8,2,3,4,1,5] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,5,8,2,3,7] => [6,8,2,1,4,5,3,7] => [8,6,1,3,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,8,3,4,6,5] => [1,2,8,3,6,4,7,5] => [1,2,6,3,7,5,8,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,7,6,8,3,4,2,5] => [1,4,8,3,2,7,6,5] => [1,7,4,2,3,8,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,4,1,7,8,6,5,2] => [4,5,3,1,6,8,7,2] => [4,3,7,2,5,6,8,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[5,1,3,4,8,2,7,6] => [5,8,1,3,4,7,2,6] => [7,5,2,1,3,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,2,1,5,6,4,7,3] => [2,8,7,6,1,5,4,3] => [6,2,7,8,4,1,3,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,5,6,1,3,4,8,2] => [6,8,1,3,7,5,4,2] => [8,6,2,1,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,6,3,8,7,4] => [2,1,6,7,5,3,8,4] => [2,1,6,5,8,4,7,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[2,4,5,3,8,1,7,6] => [8,2,5,4,3,7,1,6] => [2,4,5,7,1,8,6,3] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[7,2,5,1,3,6,8,4] => [5,7,1,8,2,3,6,4] => [8,7,2,5,4,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,7,1,6,2,5] => [7,6,4,8,2,1,3,5] => [6,7,8,4,2,5,3,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,4,7,3,1,2,6,5] => [3,1,7,8,6,2,4,5] => [7,1,3,6,8,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,8,1,6,2,5,7,3] => [8,6,7,4,2,1,5,3] => [4,7,6,8,2,5,1,3] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[3,1,8,2,6,5,7,4] => [3,8,1,7,6,2,5,4] => [6,3,2,7,8,5,1,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[6,2,8,3,5,4,1,7] => [4,5,6,8,1,3,2,7] => [8,6,5,4,3,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,4,6,5,2,1] => [2,5,6,7,8,1,4,3] => [8,2,7,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,8,6,5,7,1] => [7,4,3,2,6,8,5,1] => [3,4,7,1,8,6,2,5] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[4,7,2,1,8,6,5,3] => [2,7,5,4,6,8,1,3] => [4,2,5,8,7,6,3,1] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[5,6,2,8,4,1,7,3] => [4,8,6,7,5,3,2,1] => [7,4,6,5,8,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,3,2,8,5,1,4] => [5,3,8,2,7,6,1,4] => [5,7,3,1,6,8,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[7,2,8,3,5,6,1,4] => [6,7,8,1,3,5,2,4] => [8,7,6,3,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,8,4,6,1,5] => [6,7,2,8,1,4,3,5] => [8,7,1,6,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,4,8,5,2,6] => [1,5,8,2,7,3,4,6] => [1,8,5,3,7,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,8,4,5,3,1,6] => [3,5,7,8,4,2,1,6] => [8,7,3,5,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,4,8,2,5,6] => [1,8,7,3,2,5,4,6] => [1,7,8,2,4,3,6,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,5,8,3,4,6,2,7] => [1,6,8,3,5,4,2,7] => [1,6,5,2,8,3,4,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,4,7,6,2,3,8,5] => [1,6,2,4,7,8,5,3] => [1,4,2,8,7,6,3,5] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,4,2,3,7,8,6,5] => [1,4,2,3,6,8,7,5] => [1,4,2,3,7,6,8,5] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[7,5,6,2,1,8,3,4] => [2,6,8,3,7,5,1,4] => [8,2,6,1,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,6,2,7,1,5] => [7,6,3,8,1,4,2,5] => [3,7,8,6,4,2,5,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[7,3,4,8,1,2,6,5] => [8,1,7,3,6,2,4,5] => [6,1,7,2,8,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,5,8,6,7,4,3,2] => [1,3,4,7,5,8,6,2] => [1,5,3,4,8,7,2,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,2,6,3,5,7,4,8] => [1,2,6,7,3,5,4,8] => [1,2,7,6,4,3,5,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,7,8,6,4,2,5,3] => [1,4,6,5,3,8,7,2] => [1,7,4,5,2,6,8,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,1,5,7,4,8,2,6] => [3,8,1,7,5,2,4,6] => [5,3,2,7,8,4,6,1] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[7,2,4,6,1,5,8,3] => [6,7,8,2,1,4,5,3] => [8,7,6,2,4,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,5,1,7,8,4] => [5,2,6,8,3,1,7,4] => [2,7,6,5,3,4,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,4,6,3,2,5,8,7] => [1,3,6,4,2,5,8,7] => [1,4,3,6,2,5,8,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,4,6,3,8,2,5,7] => [1,8,6,4,2,3,5,7] => [1,4,6,8,3,5,2,7] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[8,5,6,4,1,7,3,2] => [4,3,6,7,8,5,2,1] => [7,8,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,8,3,1,6,4,5,2] => [3,8,5,6,4,2,7,1] => [7,3,5,6,1,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,5,8,1,6,3,7,2] => [8,7,6,4,5,1,3,2] => [4,5,6,7,8,3,1,2] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[4,5,8,1,6,2,7,3] => [8,6,7,4,5,1,2,3] => [4,6,5,7,8,3,2,1] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[5,2,6,8,1,4,3,7] => [8,5,4,1,2,6,3,7] => [4,5,6,3,2,8,1,7] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[6,7,3,8,2,1,4,5] => [2,8,7,1,4,6,3,5] => [6,2,7,3,1,8,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[2,7,3,1,5,8,6,4] => [3,2,7,6,1,8,5,4] => [2,7,3,8,4,6,1,5] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[2,7,3,5,4,1,8,6] => [4,2,5,7,1,8,3,6] => [2,8,5,4,3,7,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,7,4,1,8,5] => [4,2,7,6,8,1,3,5] => [2,8,4,7,6,5,3,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,8,5,3,7,6] => [2,1,5,4,8,7,3,6] => [2,1,4,7,5,8,6,3] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[2,7,3,8,4,1,6,5] => [4,2,8,7,6,3,1,5] => [2,7,4,6,8,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,7,3,1,5,4,8,6] => [3,2,7,5,1,8,4,6] => [2,5,3,8,4,7,6,1] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,5,8,3,4,7,2,6] => [1,7,8,3,5,2,4,6] => [1,7,5,2,8,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,3,8,1,4,6,2,7] => [8,6,5,1,3,4,2,7] => [5,6,8,3,2,1,4,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[4,5,8,1,3,6,2,7] => [8,6,1,4,5,3,2,7] => [4,5,2,6,8,1,3,7] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[4,1,3,7,2,8,6,5] => [4,7,1,3,6,8,2,5] => [7,4,2,1,8,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,2,6,3,1,8,5,4] => [3,6,7,5,8,1,2,4] => [7,6,3,8,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,8,7,2,5,3,1,6] => [3,5,7,4,1,2,8,6] => [5,4,3,8,2,1,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[2,8,1,7,5,4,6,3] => [8,2,6,5,7,4,1,3] => [2,5,7,8,6,1,4,3] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[2,7,3,6,1,8,5,4] => [6,2,7,5,8,3,1,4] => [2,7,6,8,5,3,4,1] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[5,4,8,7,1,3,6,2] => [7,6,1,5,4,3,8,2] => [5,6,2,8,1,3,7,4] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,8,6,2,5,7,4,3] => [1,6,4,8,3,7,5,2] => [1,6,8,4,2,7,3,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,8,5,7,1,6,4,3] => [7,2,4,6,8,1,5,3] => [2,4,8,7,6,5,1,3] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,7,6,8,5,2,3,1] => [3,5,2,4,8,7,6,1] => [4,3,1,7,5,8,2,6] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[7,4,5,1,2,6,3,8] => [5,1,6,7,4,2,3,8] => [7,1,6,5,2,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,7,5,8,2,6,3,1] => [3,6,8,4,7,1,5,2] => [6,4,3,8,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,3,1,8,7,6,2,5] => [3,4,6,2,1,7,8,5] => [8,4,3,1,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,1,8,2,7,3] => [6,8,7,5,4,1,2,3] => [7,5,6,8,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,6,4,2,8,1,7,3] => [8,4,6,7,5,3,1,2] => [4,7,6,5,8,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,4,3,1,8,6,7,2] => [3,4,5,7,1,8,6,2] => [8,5,3,4,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,5,8,1,4,6] => [8,3,2,1,7,4,5,6] => [3,7,1,2,8,5,6,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[2,4,7,6,3,5,8,1] => [8,2,6,4,3,7,5,1] => [2,4,6,8,1,7,3,5] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[2,6,7,3,4,5,8,1] => [8,2,7,3,4,6,5,1] => [2,6,7,1,3,8,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[2,1,4,7,8,3,6,5] => [2,1,8,4,6,3,7,5] => [2,1,4,6,7,5,8,3] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,4,6,5,8,7,2,3] => [1,7,2,4,6,5,8,3] => [1,4,2,6,8,3,7,5] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[4,3,8,1,6,7,2,5] => [8,7,4,3,2,1,6,5] => [4,7,8,1,2,5,3,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[2,4,8,3,6,7,1,5] => [7,2,8,4,1,3,6,5] => [2,7,4,8,3,5,1,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,6,5,8,7,3,2,4] => [1,3,7,2,6,5,8,4] => [1,6,3,2,8,4,7,5] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[7,2,6,8,3,5,1,4] => [5,7,8,1,3,2,6,4] => [8,7,5,3,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,6,5,3,1,4] => [3,5,6,2,8,7,1,4] => [8,6,3,1,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,7,6,1,2,5] => [6,1,7,4,3,8,2,5] => [7,1,4,8,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,8,4,7,1,3,6,5] => [7,2,1,8,6,3,4,5] => [2,7,1,6,8,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,6,7,8,9,2,3,1,4] => [3,9,2,1,5,6,7,8,4] => [5,3,1,2,6,7,8,9,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[5,6,7,8,9,10,2,3,1,4] => [3,10,2,1,5,6,7,8,9,4] => [5,3,1,2,6,7,8,9,10,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,6,1,4,5,2,7,8] => [6,5,3,1,4,2,7,8] => [3,5,6,2,1,4,7,8] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,7,4,6,3,5,2,8] => [1,5,6,7,3,4,2,8] => [1,7,6,5,3,2,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,8,4,2,1,3,7] => [2,4,1,8,6,5,3,7] => [6,2,1,4,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,6,8,5,3,2,7,4] => [1,3,5,8,7,6,4,2] => [1,7,3,5,6,8,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[4,6,1,8,7,5,3,2] => [6,3,5,4,7,1,8,2] => [3,6,4,8,5,2,7,1] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,4,7,8,3,2,6,5] => [1,3,8,4,6,2,7,5] => [1,4,3,6,7,5,8,2] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[3,8,5,1,2,7,6,4] => [5,1,3,8,6,7,4,2] => [3,1,8,5,6,7,2,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,3,7,6,8,5,2,4] => [1,5,3,2,8,7,6,4] => [1,3,7,2,5,8,4,6] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,7,6,8,5,3,4,2] => [1,4,5,3,8,7,6,2] => [1,7,4,2,5,8,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,5,1,7,3,2,4,8] => [5,3,6,1,7,2,4,8] => [6,7,3,2,5,4,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[2,8,7,6,5,4,3,1,9] => [3,2,4,5,6,7,8,1,9] => [2,8,3,4,5,6,7,1,9] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,7,1,8,3,2,4,6] => [7,3,8,2,5,4,1,6] => [5,7,3,1,8,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,5,2,8,7,3,6,4] => [1,5,7,6,2,3,8,4] => [1,8,5,6,4,3,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,5,6,2,3,8] => [1,6,2,7,4,5,3,8] => [1,7,2,6,3,4,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,5,6,4,2,3,8] => [1,4,2,6,7,5,3,8] => [1,7,2,4,6,3,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,7,6,4,2,3,8,5] => [1,4,2,6,7,8,5,3] => [1,8,2,4,7,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,5,7,4,3,8] => [1,6,4,7,2,5,3,8] => [1,6,7,4,3,2,5,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[7,3,5,4,1,6,2,8] => [4,5,6,7,1,2,3,8] => [7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,7,5,6,3,4,8,2] => [1,8,6,3,7,5,4,2] => [1,6,8,2,7,3,4,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,7,2,6,8,4,3,1] => [3,4,8,7,5,2,6,1] => [7,4,3,5,8,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,1,2,7,6,4,3] => [8,1,4,6,5,7,2,3] => [4,1,6,5,8,7,3,2] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,6,7,4,5,3,2,8] => [1,3,5,7,4,6,2,8] => [1,6,3,5,2,7,4,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,4,7,5,6,3,2,8] => [1,3,6,4,7,5,2,8] => [1,4,3,7,6,2,5,8] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,8,3,7,4,5,2,6] => [1,5,8,7,4,2,3,6] => [1,8,5,7,2,4,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,5,7,3,2,6,4,1] => [4,3,6,7,8,1,5,2] => [7,8,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,1,5,2,4,3,6,7] => [8,5,4,2,1,3,6,7] => [4,5,8,2,3,1,6,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,6,4,3,1,5,2,7] => [3,4,6,5,1,8,2,7] => [8,4,3,5,2,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,6,4,3,8,5] => [2,7,4,6,8,1,3,5] => [4,2,8,7,6,5,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,8,2,5,4,1,7,3] => [4,5,8,7,3,6,2,1] => [7,6,4,5,1,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,2,1,3,7,4,5] => [2,8,1,7,4,6,3,5] => [6,2,1,7,3,8,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[8,5,6,3,1,4,7,2] => [3,6,7,2,8,5,4,1] => [8,7,3,1,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,3,7,1,4] => [7,6,2,1,8,5,3,4] => [7,8,1,3,6,2,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,8,4,6,2,3,7,5] => [1,6,2,8,7,4,3,5] => [1,8,2,6,7,4,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,3,2,6,5,7,4] => [1,3,8,7,6,2,5,4] => [1,6,3,7,8,5,2,4] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[2,5,6,8,7,1,3,4] => [7,2,1,3,5,6,8,4] => [2,5,1,3,6,8,7,4] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[2,8,1,3,4,6,5,7] => [8,2,1,3,6,4,5,7] => [2,6,1,3,8,5,4,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[2,8,3,4,6,1,7,5] => [6,2,8,3,7,4,1,5] => [2,8,6,1,7,4,5,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,8,4,5,7,6,1,3] => [6,2,1,7,3,8,5,4] => [2,8,1,7,4,6,3,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,8,7,5,6,3] => [1,2,6,4,7,5,8,3] => [1,2,4,8,6,3,7,5] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[2,4,7,1,8,6,3,5] => [7,2,6,4,3,8,1,5] => [2,4,7,8,1,6,5,3] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,8,6,2,7,4,3,5] => [1,6,4,8,2,7,3,5] => [1,6,8,4,3,7,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,7,3,4,8,6,1,5] => [6,2,8,1,3,7,4,5] => [2,8,6,3,4,7,5,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,1,8,5,3] => [4,6,7,5,8,3,2,1] => [8,6,4,7,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,8,6,5,4,3] => [1,7,4,5,6,8,2,3] => [1,4,8,5,7,6,3,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,2,4,5,1,8,6,3] => [5,7,6,2,4,8,1,3] => [8,5,7,2,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,8,5,3,6,7] => [4,2,5,1,8,3,6,7] => [2,8,4,3,5,1,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,2,3,4,5,7,1] => [7,8,2,3,4,6,5,1] => [7,6,1,2,3,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,1,7,3,4,6,5,8] => [2,1,7,3,6,4,5,8] => [2,1,6,3,7,5,4,8] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[7,3,8,2,4,5,1,6] => [5,8,7,2,4,1,3,6] => [8,5,7,2,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,4,1,7,8,6,2] => [4,5,3,6,2,8,7,1] => [5,3,7,4,1,6,8,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[6,7,3,5,4,2,8,1] => [8,4,5,7,2,6,3,1] => [4,7,6,5,2,8,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,2,7,5,4,3,8,1] => [8,6,4,5,7,2,3,1] => [4,5,8,7,6,2,1,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[7,8,6,2,5,4,3,1] => [3,4,5,6,2,8,7,1] => [7,5,3,4,1,6,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,1,8,3,7,5,4,2] => [6,4,5,7,8,1,3,2] => [6,8,7,4,5,3,1,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,2,8,3,7,5,4,1] => [4,5,7,6,8,1,2,3] => [8,7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,3,7,6,4,2] => [5,4,2,8,6,7,3,1] => [5,8,1,4,6,7,2,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,8,6,3,7,5,4,1] => [4,2,5,7,6,8,3,1] => [2,8,5,4,7,6,1,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,6,5,4,2,1,7] => [2,4,5,6,8,3,1,7] => [8,2,6,4,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,1,7,6,8,3] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[6,2,3,5,7,1,8,4] => [7,6,2,8,3,5,1,4] => [7,8,1,6,3,2,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,1,3,6,7,2,8,4] => [5,7,1,8,3,6,2,4] => [7,6,2,5,3,8,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,1,3,6,7,4,8,2] => [5,8,1,7,3,6,4,2] => [7,5,2,6,3,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,2,4,6,7,1,8,5] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[2,8,1,5,6,4,3,7] => [8,2,4,6,1,5,3,7] => [2,4,8,6,3,1,5,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,6,8,3,4,7,5,1] => [5,2,7,1,8,6,4,3] => [2,7,6,3,5,8,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,1,5,7,4,3,8,2] => [6,8,4,7,1,5,3,2] => [7,4,8,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,8,3,4,7,5,1,2] => [5,1,7,2,8,6,4,3] => [7,1,6,3,5,8,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,8,3,7,4,2,5,1] => [5,4,7,8,3,6,2,1] => [6,7,5,4,1,8,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[8,2,4,7,5,6,1,3] => [6,8,1,2,7,5,4,3] => [8,6,2,3,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,5,8,4,1,3] => [4,2,1,8,7,6,5,3] => [2,6,1,4,7,8,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,6,7,5,8,4,2,3] => [1,4,2,8,7,6,5,3] => [1,6,2,4,7,8,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[5,4,8,3,1,6,7,2] => [3,8,7,5,4,2,6,1] => [7,3,5,8,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,4,2,8,6,5,3,1] => [3,5,4,6,8,7,1,2] => [8,3,6,4,5,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,3,2,5,1] => [5,3,7,8,2,6,4,1] => [6,7,3,5,2,8,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[5,8,7,3,2,1,6,4] => [2,3,7,6,5,1,8,4] => [5,2,3,6,8,4,7,1] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[5,8,7,2,6,4,3,1] => [3,4,6,7,5,2,8,1] => [6,5,3,4,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,2,5,8,6,1,3,7] => [6,4,1,2,5,8,3,7] => [4,5,2,3,8,6,1,7] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,6,4,8,7,3,2,5] => [1,3,7,6,2,4,8,5] => [1,6,3,8,4,5,7,2] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,5,6,8,3,4,1] => [4,7,8,3,2,5,6,1] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,7,8,3,2,4] => [1,3,8,2,6,5,7,4] => [1,6,3,2,7,4,8,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[5,4,8,6,7,3,1,2] => [3,1,7,5,4,8,6,2] => [5,1,3,8,2,7,4,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,3,6,4,2,1,8,5] => [2,4,6,7,8,1,3,5] => [8,2,7,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,2,7,3,1,6] => [3,7,5,4,8,2,1,6] => [7,3,4,8,5,1,6,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,4,3,1,5,8,6,2] => [3,4,7,6,1,8,5,2] => [8,4,3,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,2,6,7,3,1] => [3,7,5,4,8,1,6,2] => [7,3,4,8,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,3,2,1,8,5,6,4] => [2,3,7,6,8,5,1,4] => [7,2,3,8,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,1,3,4,5,9,6,7,8] => [2,1,3,4,5,9,6,7,8] => [2,1,3,4,5,9,6,7,8] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,5,7,2,4,3,8,6] => [1,7,4,2,5,8,3,6] => [1,4,5,3,8,7,6,2] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[7,1,6,3,2,8,4,5] => [7,3,6,8,4,1,2,5] => [3,8,7,6,1,5,4,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,6,4,3,8,5] => [7,1,4,6,8,2,3,5] => [4,1,8,7,6,5,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,4,7,8,3,2,5,6] => [1,3,8,4,2,5,7,6] => [1,4,3,7,2,5,8,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[8,7,3,6,4,1,2,5] => [4,1,6,7,3,2,8,5] => [8,1,6,4,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,3,1,7,2,8] => [3,5,7,6,4,2,1,8] => [7,5,3,6,1,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,7,2,4,3,1,5,6] => [3,4,7,1,2,5,8,6] => [8,4,3,2,1,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,3,1,4,8,5] => [3,6,2,1,7,8,5,4] => [8,3,1,2,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,3,4,8,1,5,6] => [8,2,7,3,1,5,4,6] => [2,7,8,1,4,3,6,5] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,7,4,2,6,8,3,1] => [3,8,4,7,5,1,6,2] => [7,3,4,5,8,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,6,4,8,7,2,3] => [5,7,2,6,1,4,8,3] => [8,5,1,6,4,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,1,3,2,8,5] => [6,3,1,4,7,8,5,2] => [3,4,2,8,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[7,2,5,8,6,1,3,4] => [6,8,2,3,1,7,5,4] => [8,6,1,2,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,4,2,7,8,3] => [5,4,6,8,1,3,7,2] => [6,7,5,4,3,1,8,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[7,1,4,6,3,2,5,8] => [7,3,6,1,2,4,5,8] => [3,7,6,2,4,5,1,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[2,5,6,4,7,8,1,3] => [8,2,1,6,5,4,7,3] => [2,5,1,6,7,3,8,4] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[3,7,4,1,5,2,8,6] => [4,7,3,5,2,8,1,6] => [4,3,8,5,1,7,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[2,7,3,5,1,4,8,6] => [5,2,7,1,3,8,4,6] => [2,8,5,3,4,7,6,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,4,7,8,3,2] => [5,3,8,6,1,4,7,2] => [5,7,3,6,4,1,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,3,1,2,6,8,7,4] => [3,1,5,7,2,6,8,4] => [6,1,3,5,4,8,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[6,4,7,8,1,3,2,5] => [8,3,1,6,2,4,7,5] => [3,6,2,7,4,5,8,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[6,3,4,8,2,1,5,7] => [2,8,6,3,1,4,5,7] => [6,2,8,1,4,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,5,2,6,8,7,4,3] => [1,5,4,7,2,6,8,3] => [1,5,6,4,3,8,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,8,3,7,5,2,6,4] => [1,5,7,8,6,3,4,2] => [1,8,6,5,7,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,8,5,2,6,4] => [7,5,1,8,6,4,3,2] => [6,8,2,5,7,1,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,7,1,5,2,6,8,3] => [7,5,8,4,1,2,6,3] => [5,7,4,8,3,2,1,6] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[3,1,6,7,5,2,8,4] => [3,5,1,7,8,6,4,2] => [7,3,2,6,5,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,6,7,5,2,1,4,3] => [2,5,4,1,7,8,6,3] => [4,2,8,3,5,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,1,7,4,2,8,5,6] => [3,4,1,7,8,5,2,6] => [8,3,2,4,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,4,2,8,7,5] => [3,4,1,6,7,2,8,5] => [8,3,2,4,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,6,5,2,8,3] => [4,5,6,1,7,8,2,3] => [8,7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,1,7,3,8,6] => [2,4,5,7,3,8,1,6] => [8,2,5,4,1,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,6,2,8,7,3] => [4,5,6,7,2,3,8,1] => [8,6,5,4,2,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,3,4,8,7,1] => [7,6,2,3,5,4,8,1] => [5,6,1,2,8,3,7,4] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[8,4,1,5,6,2,7,3] => [4,8,6,7,2,5,3,1] => [8,4,7,6,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,7,3,2,5,8] => [6,3,7,1,2,4,5,8] => [6,7,3,2,4,5,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[2,8,4,7,3,5,6,1] => [6,2,7,8,3,5,4,1] => [2,8,7,6,3,1,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,8,3,2,6,7] => [1,3,8,5,4,2,6,7] => [1,5,3,8,2,4,6,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[2,1,7,8,3,5,4,6] => [2,1,8,5,3,4,7,6] => [2,1,5,7,4,3,8,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,5,8,6,7,4,2,3] => [1,4,2,7,5,8,6,3] => [1,5,2,4,8,7,3,6] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[5,6,4,7,1,8,3,2] => [7,3,8,6,5,4,1,2] => [5,6,3,7,8,1,4,2] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[5,3,7,4,6,1,8,2] => [6,8,5,7,3,4,1,2] => [7,5,8,6,2,1,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,7,1,5,4,8,2] => [7,8,3,5,1,6,4,2] => [5,3,6,7,4,8,1,2] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[3,6,4,7,5,8,2,1] => [2,8,3,6,7,4,5,1] => [3,2,6,8,7,4,1,5] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,7,4,5,3,8,2,6] => [1,8,5,7,4,2,3,6] => [1,5,8,7,2,4,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,6,7,4,1,8,3,2] => [4,3,7,8,5,6,2,1] => [5,6,3,4,7,8,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[6,5,7,3,1,8,2,4] => [3,7,8,1,6,5,2,4] => [7,6,3,2,8,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,7,4,2,1,8,3] => [2,4,7,8,5,6,3,1] => [6,2,5,4,7,8,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[4,6,1,8,2,5,3,7] => [6,8,5,4,2,1,3,7] => [5,4,6,8,2,3,1,7] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[5,8,3,7,4,1,2,6] => [4,1,7,8,5,3,2,6] => [7,1,5,4,8,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,8,1,3,5,2,7,6] => [8,5,1,4,3,7,2,6] => [4,5,2,7,1,8,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[3,2,7,4,5,1,8,6] => [5,3,2,7,4,8,1,6] => [3,8,1,5,2,7,6,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,8,5,2,3,6,1] => [6,5,2,8,7,4,3,1] => [7,8,1,5,6,2,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,1,8,4,5,2,6] => [3,7,5,8,4,1,2,6] => [8,3,7,5,1,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,2,3,6,7,1] => [7,5,2,4,8,3,6,1] => [4,7,1,8,5,2,3,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[3,7,2,5,4,6,8,1] => [8,7,3,5,2,4,6,1] => [3,5,7,8,2,1,4,6] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,6,5,2,8,7,4,3] => [1,5,4,6,7,3,8,2] => [1,6,8,4,5,2,7,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,3,2,5,4,6,7,8,9] => [1,3,2,5,4,6,7,8,9] => [1,3,2,5,4,6,7,8,9] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,7,2,5,8,3,6] => [4,7,8,1,2,3,5,6] => [8,7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,2,8,7,4,1] => [4,3,7,6,5,1,8,2] => [4,6,3,5,8,2,7,1] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[3,2,5,8,6,4,1,7] => [4,3,2,6,5,8,1,7] => [3,5,1,4,8,6,2,7] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[4,5,1,7,2,8,6,3] => [5,7,6,4,1,8,2,3] => [7,4,5,8,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,6,3,1,8,7,5,4] => [3,2,6,5,7,1,8,4] => [2,6,3,8,5,4,7,1] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[3,7,5,2,8,6,4,1] => [4,6,3,5,8,7,2,1] => [4,3,8,6,5,7,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,7,1,8,5,3,6,2] => [7,6,5,4,8,3,1,2] => [4,6,7,8,5,1,3,2] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[6,4,7,2,5,3,1,8] => [3,5,7,6,1,4,2,8] => [7,5,3,6,4,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,1,4,3,6,8,2,5] => [7,8,4,1,2,3,6,5] => [7,4,8,3,2,5,1,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,8,6,1,7,5,4,2] => [6,4,3,5,8,7,2,1] => [3,4,8,6,5,7,1,2] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,8,6,3,5,4,7,2] => [1,7,6,5,3,8,4,2] => [1,5,7,8,3,6,2,4] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[6,3,5,4,1,8,7,2] => [4,5,7,6,1,2,8,3] => [8,6,4,5,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,3,5,1,7,2] => [5,7,6,4,3,8,1,2] => [7,4,5,8,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,1,2,4,3,8,5,7] => [6,1,4,2,8,3,5,7] => [4,1,8,3,6,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,3,1,5,4,8,7,2] => [3,6,7,5,2,4,8,1] => [6,5,3,8,2,1,7,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,3,5,8,4,1,7,2] => [4,8,7,6,1,5,2,3] => [8,4,6,7,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,8,5,4,6,3] => [2,7,6,5,8,4,1,3] => [6,2,7,8,5,1,4,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[7,1,3,8,5,4,2,6] => [7,4,1,5,8,2,3,6] => [4,8,2,7,5,3,6,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,8,7,3,5,1,6,2] => [5,6,7,4,3,1,8,2] => [6,5,4,8,1,3,7,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,6,2,4,7,3,1,8] => [3,7,6,1,5,4,2,8] => [6,3,5,2,7,1,4,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[4,5,1,7,8,2,6,3] => [5,8,6,4,1,2,7,3] => [6,4,5,7,3,2,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[3,4,2,7,6,1,8,5] => [6,4,3,2,7,8,5,1] => [3,4,8,1,7,6,2,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[3,4,1,6,2,8,7,5] => [4,6,3,1,7,2,8,5] => [4,3,8,2,6,5,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[6,7,1,4,8,5,3,2] => [7,3,5,1,8,6,4,2] => [3,7,6,2,5,8,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[4,1,7,3,2,8,5,6] => [4,3,7,1,8,5,2,6] => [4,8,3,2,7,1,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,8,6,1,5,2] => [6,5,4,3,1,8,7,2] => [4,5,7,1,3,6,8,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[6,1,3,7,8,5,4,2] => [6,4,1,5,8,3,7,2] => [4,7,2,6,5,1,8,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[6,4,1,7,5,8,2,3] => [4,6,1,8,7,2,5,3] => [8,6,2,4,7,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,1,4,3,6,8] => [5,7,4,1,2,3,6,8] => [5,4,7,3,2,1,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,6,5,8,3,4,7,2] => [1,7,8,3,6,5,4,2] => [1,7,6,2,8,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,1,8,4,7,5,2,3] => [6,5,2,7,8,1,3,4] => [7,8,1,6,5,4,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,5,1,4,3,7,2,8] => [5,6,4,2,7,3,1,8] => [6,4,7,2,5,1,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[6,3,4,2,8,7,1,5] => [7,4,6,3,1,2,8,5] => [4,8,6,1,3,5,7,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,8,6,2,7,3] => [5,6,8,4,1,7,3,2] => [6,5,4,8,3,7,1,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,3,8,6,7,1,4,2] => [7,4,5,1,3,8,6,2] => [4,8,5,3,1,7,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,6,8,7,3,2] => [5,3,7,4,1,6,8,2] => [4,5,3,6,2,8,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[2,8,3,4,5,6,1,7] => [6,2,8,3,4,5,1,7] => [2,8,6,1,3,4,5,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,8,1,5,6,4,7] => [8,3,2,6,1,5,4,7] => [3,6,1,8,4,2,5,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[2,3,6,4,7,8,1,5] => [8,2,3,6,1,4,7,5] => [2,3,6,7,4,5,8,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[4,2,7,1,5,8,3,6] => [7,4,8,2,1,3,5,6] => [7,8,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,1,2,3,5,6,8,7,9] => [4,1,2,3,5,6,8,7,9] => [4,1,2,3,5,6,8,7,9] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0]
[5,1,2,3,4,7,6,8,9] => [5,1,2,3,4,7,6,8,9] => [5,1,2,3,4,7,6,8,9] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[2,4,6,3,5,1,7,8] => [5,2,6,4,3,1,7,8] => [2,5,4,6,1,3,7,8] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,8,2,5,7,3,4,6] => [1,8,7,3,2,4,5,6] => [1,7,8,2,4,5,6,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,4,6,3,8,5,2,7] => [1,5,8,4,6,2,3,7] => [1,5,4,8,6,3,2,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[3,4,6,2,5,1,7,8] => [5,6,3,4,2,1,7,8] => [4,3,5,6,1,2,7,8] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,4,6,5,8,2,3,7] => [1,8,2,4,6,5,3,7] => [1,4,2,6,8,3,5,7] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,4,8,3,7,6,2,5] => [1,6,7,4,3,8,2,5] => [1,7,4,8,2,6,5,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,4,5,3,7,2,6,8] => [1,7,5,4,3,2,6,8] => [1,4,5,7,2,3,6,8] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[2,8,6,7,1,3,4,5] => [7,2,1,3,4,8,6,5] => [2,8,1,3,4,7,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,6,5,4,7,1,2] => [7,1,8,5,6,3,4,2] => [6,1,5,8,7,3,2,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,6,8,3,5,4,7,2] => [1,7,8,5,3,6,4,2] => [1,6,5,7,3,8,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[5,6,8,2,7,1,3,4] => [7,8,1,3,5,6,2,4] => [6,5,2,1,7,8,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[6,7,1,5,4,8,3,2] => [7,3,8,5,1,6,4,2] => [5,6,3,7,4,8,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[6,5,4,7,1,8,3,2] => [7,3,8,5,6,4,1,2] => [5,6,3,8,7,1,4,2] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[8,3,1,6,5,4,7,2] => [3,8,7,5,6,2,4,1] => [6,3,5,8,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,1,6,7,2,8,5,4] => [3,7,1,5,8,6,2,4] => [6,3,2,7,5,8,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,6,8,5,3,4,7,2] => [1,7,5,3,8,6,4,2] => [1,6,7,2,5,8,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,5,3,6,8,4,7,2] => [1,7,5,8,3,6,4,2] => [1,6,7,5,3,8,2,4] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[8,3,6,4,7,1,5,2] => [7,5,8,6,1,3,4,2] => [6,8,5,7,4,2,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,1,3,6,8,4,7,2] => [5,7,1,8,3,6,4,2] => [7,6,2,5,3,8,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,8,4,6,5,1,7,2] => [5,6,3,7,8,1,2,4] => [7,3,8,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,5,1,6,7,3,2] => [5,3,7,8,4,1,6,2] => [7,8,3,5,1,4,2,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,4,7,5,6,8,2,1] => [2,8,3,4,7,5,6,1] => [3,2,4,7,8,1,5,6] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[3,4,7,8,5,2,6,1] => [6,5,3,4,8,2,7,1] => [3,4,6,7,5,1,8,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[4,5,8,6,1,7,2,3] => [6,8,1,4,5,7,2,3] => [5,4,2,6,8,7,3,1] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[3,4,7,2,8,6,5,1] => [5,6,3,4,8,7,2,1] => [4,3,6,8,5,7,1,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[2,3,7,8,6,1,5,4] => [6,2,3,5,1,8,7,4] => [2,3,5,7,4,6,8,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[2,8,1,5,7,4,3,6] => [8,2,4,7,1,3,5,6] => [2,4,8,7,3,5,6,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,8,4,5,1,7,6,2] => [5,6,3,7,2,8,1,4] => [7,3,8,5,2,6,4,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,4,1,2,5,3,6,8] => [4,1,7,5,3,2,6,8] => [7,1,4,5,2,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,7,3,1,4,6,5,8] => [3,2,7,1,6,4,5,8] => [2,6,3,1,7,5,4,8] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[4,5,1,3,6,2,7,8] => [5,6,1,4,3,2,7,8] => [5,4,2,6,1,3,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[6,3,1,4,8,5,7,2] => [3,6,7,2,8,4,5,1] => [8,7,3,1,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,4,8,7,1,2] => [7,1,6,5,3,4,8,2] => [5,1,6,8,3,2,7,4] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,5,7,2,8,4,6,3] => [1,7,6,8,5,4,2,3] => [1,6,7,5,8,2,4,3] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,8,7,4,5,6,2,3] => [1,6,2,7,4,5,8,3] => [1,8,2,6,3,4,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,8,7,3,6,4,2,5] => [1,4,6,7,3,2,8,5] => [1,8,6,4,2,5,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,2,3,6,5,8] => [1,7,2,4,6,3,5,8] => [1,4,2,6,7,5,3,8] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,7,2,5,6,3,4,8] => [1,7,6,3,2,5,4,8] => [1,6,7,2,4,3,5,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,2,6,5,8,3,4,7] => [1,2,8,3,6,5,4,7] => [1,2,6,3,8,4,5,7] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[6,3,5,1,4,2,7,8] => [5,4,6,1,3,2,7,8] => [5,6,4,3,1,2,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[6,8,3,2,7,5,1,4] => [5,3,7,2,8,6,1,4] => [6,7,3,1,5,8,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[7,2,6,4,8,1,5,3] => [8,7,5,6,1,2,4,3] => [5,6,8,7,4,3,1,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[7,3,2,1,5,8,6,4] => [2,3,7,6,1,8,5,4] => [7,2,3,8,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,1,6,8,3,2,4,7] => [5,3,8,2,1,6,4,7] => [5,6,3,1,4,8,2,7] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[2,6,8,7,3,5,4,1] => [4,2,5,7,1,6,8,3] => [2,6,5,4,3,8,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[6,4,7,5,2,3,1,8] => [3,5,2,7,6,1,4,8] => [7,3,1,5,6,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,1,5,6,4,8,3,7] => [2,1,8,6,5,4,3,7] => [2,1,5,6,8,3,4,7] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[5,1,4,7,8,6,2,3] => [5,6,2,1,4,8,7,3] => [7,5,1,3,2,6,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,4,3,8,6,1,5,2] => [6,5,4,8,3,7,1,2] => [5,6,8,4,1,7,3,2] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[4,3,7,1,5,8,6,2] => [7,6,4,3,1,8,5,2] => [4,7,8,1,3,6,2,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,4,3,2,7,5,8,6] => [1,3,4,2,7,8,5,6] => [1,4,3,2,8,7,6,5] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[4,8,7,2,6,1,3,5] => [6,7,1,4,3,2,8,5] => [6,4,2,8,1,5,7,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,5,8,2,1,7,3,6] => [2,8,7,4,5,3,1,6] => [4,2,5,7,8,1,6,3] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[6,3,1,8,2,7,5,4] => [3,6,8,5,7,2,1,4] => [7,5,3,8,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,8,5,2,1,7,6,4] => [2,5,3,8,6,7,4,1] => [3,2,8,5,6,7,1,4] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,3,2,5,7,8] => [4,3,1,6,2,5,7,8] => [3,6,2,4,1,5,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[2,8,6,1,3,4,7,5] => [6,2,1,3,8,7,5,4] => [2,8,1,3,6,7,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,2,8,4,3,1] => [3,4,8,6,5,7,2,1] => [6,4,3,5,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,8,6,1,7,5,4,3] => [6,2,4,5,8,7,3,1] => [2,4,8,6,5,7,1,3] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,4,8,5,7,3,2,6] => [1,3,7,4,8,2,5,6] => [1,4,3,8,7,5,6,2] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[8,2,3,7,1,6,4,5] => [7,8,2,6,4,1,3,5] => [7,6,1,8,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,5,1,4,8,7,3,2] => [5,3,6,2,7,4,8,1] => [6,8,3,1,5,2,7,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,2,5,4,1,7,3,8] => [4,5,6,7,3,2,1,8] => [7,6,5,4,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,4,6,1,5,3,7,2] => [6,7,5,8,1,4,3,2] => [7,6,8,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,6,5,4,1,7,3,2] => [4,3,5,6,8,7,2,1] => [6,8,3,4,5,7,1,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,7,6,3,4,1,8,2] => [4,8,6,3,5,7,1,2] => [6,4,5,1,8,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,3,5,6,4,1,7,2] => [4,6,7,8,1,5,2,3] => [8,7,6,4,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,7,3,6,4,8] => [2,1,7,6,5,3,4,8] => [2,1,5,6,7,4,3,8] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[7,3,8,2,1,5,4,6] => [2,8,7,5,1,4,3,6] => [5,2,7,8,4,1,6,3] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[2,5,3,6,8,1,7,4] => [8,2,5,7,3,6,1,4] => [2,5,7,6,3,8,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[7,1,5,6,4,8,2,3] => [7,8,2,6,1,5,4,3] => [7,6,1,8,4,2,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,8,3,6,2,5,7,4] => [1,6,8,7,2,3,5,4] => [1,8,6,7,4,5,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,8,6,2,5,7,4] => [3,6,1,8,4,7,5,2] => [8,3,2,6,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,7,4,5,1,6] => [5,2,3,7,4,1,8,6] => [2,3,8,5,1,4,7,6] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,8,3,5,7,4,2,6] => [1,4,7,8,2,3,5,6] => [1,8,7,4,3,5,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,2,7,1,8,5] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[2,1,4,7,3,8,6,5] => [2,1,7,4,6,8,3,5] => [2,1,4,7,8,6,5,3] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[2,8,4,7,3,1,5,6] => [3,2,7,8,1,5,4,6] => [2,8,3,7,4,1,6,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,4,8,7,5,6] => [3,2,1,4,7,5,8,6] => [2,3,1,4,8,5,7,6] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[7,1,2,4,8,6,5,3] => [7,1,5,2,6,8,4,3] => [5,1,8,3,7,6,2,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,2,4,1,8,7,6,3] => [4,5,6,2,1,7,8,3] => [8,5,4,2,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,5,6,1,7,3] => [6,8,7,4,2,5,1,3] => [7,4,6,8,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,8,3,6,5,7,1,4] => [7,2,8,1,6,3,5,4] => [2,7,6,3,8,5,1,4] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,3,7,1,8,6,2,5] => [7,6,4,3,2,8,1,5] => [4,7,8,1,2,6,5,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[3,8,1,6,2,4,7,5] => [8,6,3,2,7,1,4,5] => [3,6,8,1,7,5,4,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[9,8,3,7,6,5,4,2,1] => [2,4,5,6,7,8,1,9,3] => [9,2,7,4,5,6,3,8,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[10,2,9,8,7,6,5,4,3,1] => [3,4,5,6,7,8,9,10,2,1] => [10,9,3,4,5,6,7,8,1,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,1,2,4,8,7,5,6] => [3,1,2,4,7,5,8,6] => [3,1,2,4,8,5,7,6] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,6,8,4,7,3,5,2] => [1,5,7,8,3,6,4,2] => [1,7,6,5,3,8,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,6,8,5,4,7,3,2] => [1,3,7,5,8,6,4,2] => [1,6,3,7,5,8,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[6,8,5,4,7,3,1,2] => [3,1,7,5,8,6,4,2] => [6,1,3,7,5,8,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[6,8,5,1,4,7,3,2] => [5,3,8,2,7,6,4,1] => [5,7,3,1,6,8,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,3,6,8,5,4,7,2] => [1,7,3,5,8,6,4,2] => [1,3,6,7,5,8,2,4] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[5,6,7,1,4,8,3,2] => [7,3,8,1,5,6,4,2] => [5,6,3,2,7,8,1,4] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[5,4,1,2,3,7,8,6] => [4,1,2,5,3,8,7,6] => [5,1,2,4,3,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,6,7,2,5,8,3,4] => [1,7,8,3,2,6,5,4] => [1,7,6,2,4,8,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[2,7,4,8,3,1,5,6] => [3,2,8,7,1,5,4,6] => [2,7,3,8,4,1,6,5] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[8,2,1,3,7,4,6,5] => [2,8,1,7,6,4,3,5] => [6,2,1,7,8,4,5,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,8,2,3,6,4,5,1] => [5,8,2,6,4,3,7,1] => [7,5,1,6,2,3,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[8,1,2,7,5,3,4,6] => [8,1,5,3,7,4,2,6] => [5,1,8,2,7,3,6,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,5,1,8,2,3,4,6] => [5,7,1,3,8,4,2,6] => [8,7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,1,3,7,5,6] => [4,8,1,2,7,5,3,6] => [7,4,2,3,8,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,1,6,2,3,7,4,5] => [8,6,2,7,4,1,3,5] => [6,8,1,7,2,5,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,5,7,4,2,8,1,6] => [8,4,3,7,5,1,2,6] => [3,4,7,5,8,2,6,1] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[2,4,7,6,3,8,1,5] => [8,2,6,4,1,7,3,5] => [2,4,6,8,3,7,5,1] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[4,6,8,5,1,2,3,7] => [5,1,2,4,8,6,3,7] => [4,1,2,6,5,8,3,7] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[4,6,5,7,1,3,8,2] => [7,8,1,4,6,5,3,2] => [6,4,2,7,8,1,3,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[5,8,6,1,4,2,3,7] => [6,4,2,1,5,8,3,7] => [4,5,1,3,8,6,2,7] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[8,5,3,4,7,6,1,2] => [6,1,5,2,7,8,4,3] => [7,1,8,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,3,4,1,7,6,2] => [4,6,5,2,7,8,1,3] => [8,4,7,2,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,8,3,2,4,7] => [1,3,8,2,6,5,4,7] => [1,6,3,2,8,4,5,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[8,1,7,5,2,4,6,3] => [8,5,7,3,6,4,1,2] => [5,8,6,1,7,2,4,3] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,2,7,5,4,1,6,3] => [4,5,7,8,6,3,1,2] => [8,6,5,4,7,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,2,7,3,5,4] => [6,1,8,5,2,7,3,4] => [6,1,5,8,4,7,3,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[6,2,1,5,7,8,3,4] => [2,6,8,3,1,5,7,4] => [7,2,6,1,4,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,6,1,8,7,4,5,3] => [6,2,5,7,4,1,8,3] => [2,6,8,5,1,4,7,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,2,8,5,7,1,6,3] => [7,4,6,2,8,1,5,3] => [4,8,7,2,6,5,1,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,8,2,5,7,3,4,1] => [4,8,7,3,2,6,5,1] => [7,4,6,1,2,8,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,6,7,2,4,3,5,1] => [5,7,4,2,3,8,6,1] => [5,4,8,2,1,7,3,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,2,5,8,4,6,3,1] => [3,6,7,8,1,4,5,2] => [8,7,3,6,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,4,5,3,2,1] => [2,3,5,7,4,6,8,1] => [6,2,3,5,1,8,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[5,2,6,7,4,8,3,1] => [3,8,5,7,1,6,4,2] => [7,3,5,6,4,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[2,6,5,8,3,7,4,1] => [4,2,7,8,6,5,1,3] => [2,7,6,4,8,1,5,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,6,2,3,8,7,4,1] => [4,7,1,6,5,3,8,2] => [6,4,2,5,8,1,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,5,7,1,8,6,3,2] => [7,3,6,4,5,8,1,2] => [3,5,4,7,8,6,2,1] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[3,7,6,5,4,1,2,8] => [4,1,3,5,6,7,2,8] => [3,1,7,4,5,6,2,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[2,6,4,7,5,1,3,8] => [5,2,1,7,6,3,4,8] => [2,7,1,5,6,4,3,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[6,5,8,1,7,3,2,4] => [8,3,7,2,6,5,1,4] => [3,7,6,1,8,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,4,1,6,3,5,8] => [4,7,6,2,3,1,5,8] => [7,4,6,2,1,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,2,1,3,6,5,8,7,9] => [2,4,1,3,6,5,8,7,9] => [4,2,1,3,6,5,8,7,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[4,2,1,3,6,5,8,7,10,9] => [2,4,1,3,6,5,8,7,10,9] => [4,2,1,3,6,5,8,7,10,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[3,8,7,5,4,2,6,1] => [6,4,3,5,7,2,8,1] => [3,4,8,6,5,1,7,2] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[2,8,7,3,1,4,5,6] => [3,2,7,1,4,5,8,6] => [2,8,3,1,4,5,7,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,3,2,8,1] => [8,3,5,7,6,2,4,1] => [3,8,5,6,7,2,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,8,3,2,6,4] => [1,3,8,6,7,2,5,4] => [1,6,3,8,7,5,2,4] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,3,2,4,1,8,5,6] => [4,3,7,2,8,5,1,6] => [4,8,3,1,7,2,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,4,7,1,5,8] => [7,3,6,2,1,4,5,8] => [3,7,6,1,4,5,2,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[3,1,6,5,2,4,8,7] => [3,5,1,2,6,4,8,7] => [6,3,2,1,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,6,8,7,4,5,2,3] => [1,5,2,7,4,6,8,3] => [1,6,2,5,3,8,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[5,8,4,2,6,3,1,7] => [3,6,4,8,5,1,2,7] => [6,3,5,4,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[2,5,3,8,6,4,1,7] => [4,2,6,5,1,8,3,7] => [2,8,4,5,3,6,1,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,8,3,2,6,4,1,5] => [4,3,6,8,2,1,7,5] => [6,7,3,4,1,5,8,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[7,2,8,3,6,4,1,5] => [4,6,7,8,2,1,3,5] => [8,7,6,4,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,8,6,4,1,7] => [4,6,1,5,3,8,2,7] => [8,4,2,5,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,4,6,2,1,7] => [2,6,8,3,5,4,1,7] => [6,2,5,1,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,7,4,1,8,3,6,2] => [4,7,6,8,5,1,2,3] => [7,5,6,4,8,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,1,5,8,3,2,4] => [7,3,8,2,1,6,5,4] => [6,7,3,1,4,8,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[5,8,4,1,3,2,7,6] => [4,3,1,8,5,7,2,6] => [3,5,2,4,7,8,6,1] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[5,8,4,1,3,2,6,7] => [4,3,1,8,5,2,6,7] => [3,5,2,4,8,1,6,7] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[4,3,6,5,1,7,2,8] => [5,6,4,3,7,2,1,8] => [6,4,7,1,5,2,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[5,6,4,3,1,7,8,2] => [3,4,6,8,5,1,7,2] => [6,5,3,4,7,2,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[6,8,1,5,3,7,4,2] => [8,4,7,5,1,6,2,3] => [4,7,5,6,3,8,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[6,8,1,4,3,5,2,7] => [8,5,4,1,3,6,2,7] => [4,5,6,3,1,8,2,7] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[4,2,5,3,6,7,1,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[8,2,6,5,3,7,1,4] => [7,8,5,1,6,2,3,4] => [6,5,8,3,7,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,3,8,4,6,1,2,5] => [6,1,7,8,2,4,3,5] => [8,1,7,6,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,8,6,2,1,7] => [2,6,4,5,3,8,1,7] => [4,2,8,5,1,6,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[9,8,7,6,5,1,3,2,4] => [5,3,1,2,6,7,8,9,4] => [3,9,2,1,5,6,7,8,4] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,1,4,8,3,6] => [2,7,8,1,5,3,4,6] => [7,2,5,3,8,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,7,4,8,3,1,6,5] => [3,2,8,7,6,1,4,5] => [2,6,3,7,8,5,4,1] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[2,5,1,6,4,3,8,7] => [5,2,4,6,1,3,8,7] => [2,5,6,4,3,1,8,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[4,6,8,1,5,7,2,3] => [8,7,2,4,1,6,5,3] => [4,6,1,7,3,8,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[4,6,5,8,1,7,3,2] => [8,3,7,4,6,5,1,2] => [3,6,4,7,8,1,5,2] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[2,1,3,6,4,8,7,5] => [2,1,3,6,7,4,8,5] => [2,1,3,8,6,5,7,4] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[5,7,2,4,6,3,8,1] => [8,7,6,2,5,4,3,1] => [5,6,7,2,8,1,3,4] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[8,6,7,3,1,5,4,2] => [3,7,4,5,2,8,6,1] => [8,3,4,5,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,3,8,7,5,2] => [1,5,4,7,6,2,8,3] => [1,5,8,4,6,3,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[7,4,2,6,5,3,8,1] => [8,4,7,5,6,3,2,1] => [4,8,5,6,7,1,2,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,2,5,8,6,1] => [6,8,3,4,1,7,5,2] => [4,3,6,8,2,7,1,5] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[3,2,7,4,5,1,6,8] => [5,3,2,7,4,1,6,8] => [3,7,1,5,2,4,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[7,2,5,3,1,4,6,8] => [3,5,7,2,1,4,6,8] => [7,5,3,1,4,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,3,1,6,5,7,2,8] => [3,4,7,2,6,5,1,8] => [6,4,3,1,7,2,5,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[3,8,7,6,1,5,2,4] => [6,5,3,2,1,7,8,4] => [3,5,8,1,4,6,7,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[3,1,5,8,2,4,7,6] => [3,8,1,2,5,7,4,6] => [5,3,2,1,7,8,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[5,1,3,7,4,6,8,2] => [5,8,1,7,3,4,6,2] => [8,5,2,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,6,4,8,5,3] => [7,1,5,8,6,2,3,4] => [6,1,8,5,7,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[3,8,7,2,6,1,4,5] => [6,7,3,1,4,2,8,5] => [6,3,8,2,1,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,1,5,7,2,3,4,6] => [8,7,2,3,1,4,5,6] => [7,8,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,2,5,1,7,8,6,3] => [5,4,6,2,1,8,7,3] => [5,7,4,2,3,6,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[8,4,7,3,1,5,2,6] => [3,7,5,8,2,1,4,6] => [8,3,7,5,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,8,3,6,4,7] => [5,2,8,6,1,3,4,7] => [2,8,5,6,4,3,1,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,8,7,1,3,6,4] => [7,5,1,6,2,3,8,4] => [5,8,2,6,4,3,7,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,2,5,4,3,6,1,7] => [6,8,4,5,2,3,1,7] => [5,4,8,6,2,1,3,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,5,4,2,7,3,1,6] => [3,7,4,5,8,2,1,6] => [8,3,4,7,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,4,2,7,1,3] => [7,4,1,8,5,6,2,3] => [5,6,2,4,7,8,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[4,3,8,6,1,2,5,7] => [6,1,4,3,2,8,5,7] => [4,1,8,2,3,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,8,6,5,7,1,3,2] => [7,3,1,4,6,8,5,2] => [3,4,2,7,8,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[4,7,1,8,6,3,2,5] => [7,3,6,4,2,8,1,5] => [3,7,4,8,1,6,5,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[7,3,4,1,5,6,8,2] => [4,8,7,3,1,5,6,2] => [8,4,7,1,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,5,3,1,6,8] => [3,5,7,1,4,2,6,8] => [7,5,3,2,1,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,4,2,6,3,5,8,1] => [8,4,7,6,2,3,5,1] => [4,8,6,7,2,3,1,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,2,1,7,4,8] => [2,3,5,6,7,4,1,8] => [7,2,3,6,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,6,3,1,4,5,8,2] => [3,6,7,1,4,8,5,2] => [8,7,3,2,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,3,4,8,2,5] => [1,8,7,3,2,6,4,5] => [1,6,7,2,4,8,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[4,1,3,8,5,7,2,6] => [4,7,1,3,8,2,5,6] => [8,4,2,1,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,6,4,7,8,2] => [5,8,1,6,3,4,7,2] => [7,5,2,6,3,1,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,4,1,7,8,6,2,3] => [4,5,1,6,2,8,7,3] => [7,5,2,4,3,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,3,7,6,5,1,8,2] => [5,6,4,3,7,8,1,2] => [7,4,8,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,6,1,5,3,8,2,4] => [6,7,5,1,2,8,3,4] => [7,5,8,3,4,6,2,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,1,4,8,2,3,7,6] => [5,8,2,1,4,7,3,6] => [7,5,1,3,2,8,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[6,7,8,4,5,1,3,2] => [5,3,1,8,4,6,7,2] => [3,6,2,5,1,7,8,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[3,8,5,6,7,1,4,2] => [7,4,3,1,8,5,6,2] => [3,4,8,2,7,1,5,6] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,4,2,3,8,5,6] => [7,4,2,1,8,5,3,6] => [4,8,1,3,7,2,6,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,3,5,9,6,7,8] => [4,1,2,3,5,9,6,7,8] => [4,1,2,3,5,9,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[3,1,2,4,5,6,9,7,8] => [3,1,2,4,5,6,9,7,8] => [3,1,2,4,5,6,9,7,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[4,5,7,2,6,8,3,1] => [3,8,7,4,5,1,6,2] => [5,3,4,7,8,2,1,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => [1,2,6,3,8,5,4,7] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,2,7,5,6,3,4,8] => [1,2,6,3,7,5,4,8] => [1,2,7,3,6,4,5,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[4,8,1,2,3,6,5,7] => [8,1,2,4,6,3,5,7] => [4,1,2,6,8,5,3,7] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[7,2,3,6,4,8,1,5] => [8,7,2,6,1,3,4,5] => [6,7,1,8,4,5,3,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,3,1,6,2,7,8,4] => [3,5,6,8,2,1,7,4] => [7,6,3,5,2,4,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,4,1,6,2,7,8,3] => [4,5,6,8,2,3,7,1] => [7,6,5,4,2,1,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,1,4,2,5,8,3,6] => [7,4,8,1,2,3,5,6] => [7,8,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,3,5,7,4,1,8,2] => [4,7,8,6,1,5,2,3] => [8,6,4,7,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,3,8,1,4,6] => [8,5,2,1,7,4,3,6] => [5,8,1,3,7,2,6,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,1,3,5,4,2,8,6] => [7,4,1,5,3,8,2,6] => [4,8,2,5,1,7,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[4,2,8,6,5,1,3,7] => [5,4,1,2,6,8,3,7] => [4,8,2,3,5,6,1,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,8,5,4,7,1,2,6] => [7,1,3,5,8,2,4,6] => [3,1,7,8,5,4,6,2] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,4,8,3,6,2,7,5] => [1,6,8,4,7,3,2,5] => [1,6,4,8,7,3,5,2] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,3,2,6,5,8,1,4] => [8,3,7,1,6,2,5,4] => [3,7,6,2,8,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[7,2,4,1,6,8,5,3] => [4,7,5,2,8,1,6,3] => [8,4,7,2,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,3,6,5,8,2] => [7,8,4,1,6,3,5,2] => [6,4,7,3,8,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[7,1,5,6,3,4,8,2] => [7,8,6,3,1,5,4,2] => [7,6,8,1,4,2,3,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,6,7,5,3,1,8,2] => [3,5,7,4,8,6,1,2] => [6,4,3,7,5,8,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[4,5,7,6,1,2,8,3] => [6,1,7,4,5,8,3,2] => [5,1,4,7,8,6,2,3] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[4,6,5,7,2,1,8,3] => [2,7,8,4,6,5,1,3] => [6,2,4,7,8,1,5,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,8,3,4,2,6,5,7] => [1,4,8,3,6,2,5,7] => [1,6,4,2,8,5,3,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[5,2,8,6,3,4,1,7] => [4,5,6,3,2,8,1,7] => [8,5,4,1,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,6,7,1,8,3] => [7,5,8,2,4,6,1,3] => [6,7,5,2,1,8,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[7,4,8,6,3,5,1,2] => [5,1,6,8,4,7,3,2] => [8,1,6,5,2,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,6,1,5,7,2] => [6,7,8,3,1,4,5,2] => [8,7,6,1,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,6,1,7,2,3] => [6,7,2,8,4,5,1,3] => [8,7,1,6,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,4,2,3,8,6] => [7,4,2,5,1,8,3,6] => [4,8,1,5,3,7,6,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,3,6,1,8,5] => [6,7,4,2,8,3,1,5] => [7,4,8,2,6,3,5,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,1,8,4,2,5,7,3] => [6,4,8,7,3,1,5,2] => [7,8,4,6,1,5,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,4,8,1,5,2,7,3] => [8,5,7,6,1,4,2,3] => [5,8,6,7,4,1,3,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,8,6,4,2,7,3,1] => [3,7,4,6,5,8,1,2] => [7,3,4,5,8,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,8,3,2,6,7,4,1] => [4,3,7,8,5,1,6,2] => [5,7,3,4,8,2,1,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[8,5,3,1,6,7,2,4] => [3,5,8,2,7,1,6,4] => [8,5,3,1,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,1,8,4,2,6] => [5,4,3,7,8,1,2,6] => [3,7,8,4,5,2,6,1] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,8,1,6,7,2,3,5] => [8,7,2,4,3,1,6,5] => [4,7,1,8,2,5,3,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[3,8,1,4,5,7,6,2] => [8,6,3,1,4,7,5,2] => [3,6,8,2,1,7,4,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[5,3,4,6,1,2,8,7] => [6,1,5,3,4,2,8,7] => [5,1,6,2,3,4,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[8,5,7,6,2,3,4,1] => [4,6,2,3,7,8,1,5] => [8,4,1,2,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,8,3,6,5,2] => [4,7,5,6,8,3,2,1] => [8,4,7,6,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,7,4,8,1,2] => [8,1,5,6,7,4,3,2] => [5,1,8,7,6,2,3,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,7,5,1,6,2,4,3] => [5,7,4,1,6,2,8,3] => [5,4,8,3,6,2,7,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[2,7,4,6,8,1,5,3] => [8,2,5,7,1,4,6,3] => [2,5,8,7,4,1,3,6] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,2,4,6,5,1,7,3] => [5,6,8,3,7,4,2,1] => [8,7,5,1,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,6,5,2,7,3] => [1,5,6,7,8,2,3,4] => [1,8,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,7,8,2,5,1] => [5,8,3,4,2,6,7,1] => [4,3,5,6,1,7,8,2] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[5,2,3,7,8,6,1,4] => [6,5,2,1,3,8,7,4] => [5,7,1,3,4,6,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[7,2,6,4,8,5,3,1] => [3,5,8,7,6,4,2,1] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,4,7,1,6,5] => [7,2,8,3,6,1,4,5] => [2,7,6,1,8,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,2,8,5,7,6,3,4] => [1,2,6,3,7,8,4,5] => [1,2,8,3,7,6,5,4] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,8,2,3,7,4,5,1] => [5,8,2,7,4,6,3,1] => [7,5,1,6,2,8,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,7,1,4,3,6,8,2] => [7,8,4,1,5,3,6,2] => [5,4,7,3,8,1,2,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[2,4,7,5,8,6,3,1] => [3,2,6,4,8,7,1,5] => [2,4,3,8,6,7,5,1] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[5,7,4,6,2,3,8,1] => [8,6,2,7,5,4,3,1] => [5,7,1,6,8,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[2,6,8,3,4,1,7,5] => [4,2,8,3,7,6,1,5] => [2,6,4,1,7,8,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,5,8,4,2,3,7,6] => [1,4,2,8,5,7,3,6] => [1,5,2,4,7,8,6,3] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[2,6,5,3,7,4,8,1] => [8,2,5,6,7,4,3,1] => [2,5,8,7,6,1,3,4] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[5,7,3,2,8,4,1,6] => [4,3,8,7,5,2,1,6] => [4,7,3,5,8,1,6,2] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,4,6,5,3,8,2,7] => [1,8,5,4,6,3,2,7] => [1,4,5,8,6,2,3,7] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[5,1,8,7,6,3,4,2] => [5,4,6,3,1,7,8,2] => [5,8,4,1,3,6,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,8,5,7,6,1,3,4] => [6,2,1,3,7,8,4,5] => [2,8,1,3,7,6,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,8,1,7,5,2,6] => [8,5,4,3,7,2,1,6] => [4,5,8,1,7,2,6,3] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[4,7,2,3,6,8,5,1] => [5,8,1,4,7,3,6,2] => [5,4,2,8,7,1,3,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[4,3,8,6,1,7,5,2] => [6,5,4,3,8,7,2,1] => [4,6,8,1,5,7,2,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[6,3,8,1,4,5,7,2] => [8,7,6,1,4,3,5,2] => [6,7,8,3,1,4,2,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,4,1,7,3,5,2,8] => [4,6,5,7,1,2,3,8] => [7,5,6,4,3,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,4,6,7,3,5,1,8] => [5,2,7,4,3,6,1,8] => [2,5,4,6,1,7,3,8] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[6,4,2,5,7,8,1,3] => [8,4,1,6,2,5,7,3] => [4,7,2,6,3,1,8,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[3,8,5,2,6,7,4,1] => [4,7,3,5,8,1,6,2] => [4,3,8,7,5,2,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[3,6,5,4,1,8,2,7] => [4,5,3,6,8,1,2,7] => [6,3,8,4,5,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,5,4,7,3,1,6,2] => [3,7,6,5,8,2,4,1] => [7,3,6,8,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,2,5,3,4,1,8,6] => [4,7,5,3,2,8,1,6] => [8,4,5,1,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,1,2,8,7,3] => [4,1,6,7,5,3,8,2] => [6,1,5,4,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[7,6,4,1,5,8,3,2] => [4,3,6,7,1,8,5,2] => [7,8,3,4,2,6,1,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,7,4,1,2,6,8,3] => [4,1,7,8,5,3,6,2] => [7,1,5,4,8,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,7,4,1,5,2,3,8] => [4,7,1,5,2,6,3,8] => [6,4,2,5,3,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[2,8,6,7,5,3,1,4] => [3,2,5,1,7,8,6,4] => [2,8,3,1,5,7,4,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,6,3,4,5,1,7,2] => [5,7,6,3,4,8,1,2] => [8,5,7,1,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,5,4,1,7,2] => [4,5,7,6,1,8,2,3] => [8,7,4,5,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,5,1,3,6,2] => [5,6,1,7,4,3,8,2] => [8,6,2,5,1,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,1,2,5,6] => [3,1,7,8,2,5,4,6] => [8,1,3,7,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,2,6,1,7,5] => [6,3,8,4,7,2,1,5] => [4,6,3,8,7,2,5,1] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,4,8,7,6,2,5,3] => [1,6,5,4,2,7,8,3] => [1,4,5,8,3,6,7,2] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[7,2,4,1,5,3,8,6] => [4,7,5,2,1,8,3,6] => [8,4,5,2,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,6,5,7,3,1] => [3,7,4,8,6,1,5,2] => [7,3,6,4,8,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,5,2,4,6,1,3,7] => [6,5,1,2,8,4,3,7] => [6,8,2,3,5,1,4,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,6,1,5,7,3,2] => [6,3,7,8,1,4,5,2] => [7,8,3,6,4,2,1,5] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,7,3,1,2,4,8,5] => [3,1,7,2,8,6,4,5] => [7,1,3,2,6,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,3,8,6,7,2,5,4] => [1,7,3,5,2,8,6,4] => [1,3,5,8,4,7,2,6] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[3,2,6,4,7,1,5,8] => [7,3,2,6,1,4,5,8] => [3,6,1,7,4,5,2,8] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[3,6,2,5,7,8,4,1] => [4,8,3,6,1,5,7,2] => [4,3,7,6,2,1,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[3,7,6,8,5,1,4,2] => [5,4,3,1,8,7,6,2] => [3,4,7,2,5,8,1,6] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[2,7,1,8,6,5,3,4] => [7,2,5,3,6,8,1,4] => [2,5,8,1,7,6,4,3] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[8,1,5,2,6,4,7,3] => [8,5,7,6,1,2,4,3] => [5,8,6,7,4,3,1,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,2,4,8,5] => [1,6,7,2,8,3,4,5] => [1,8,7,3,6,5,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,6,3,1,7,8] => [3,6,5,1,4,2,7,8] => [6,3,5,2,1,4,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[7,2,5,6,8,1,4,3] => [8,7,4,1,2,5,6,3] => [4,7,8,3,2,1,5,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[3,1,5,8,4,7,2,6] => [3,7,1,8,5,2,4,6] => [7,3,2,5,8,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,1,8,5,7,2,6,3] => [4,7,6,1,8,2,5,3] => [8,4,7,3,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,2,7,5,6,3] => [4,8,6,1,7,5,2,3] => [8,4,6,3,7,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,2,4,3,5,1] => [5,8,4,2,3,7,6,1] => [5,4,7,2,1,8,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[7,4,5,3,8,1,6,2] => [8,6,5,7,4,1,3,2] => [5,7,8,6,1,4,2,3] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,3,6,1,4,2,8,5] => [6,4,7,1,8,3,2,5] => [7,8,4,3,6,2,5,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,8,2,3,6,5,1,7] => [5,6,1,4,8,3,2,7] => [6,4,2,8,5,1,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[4,2,5,8,1,6,3,7] => [8,4,6,2,5,1,3,7] => [4,6,5,2,8,3,1,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[8,7,2,6,4,5,1,3] => [5,7,1,6,4,2,8,3] => [8,5,2,6,1,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,2,3,1,6,7] => [3,8,2,5,4,1,6,7] => [5,3,1,8,2,4,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,3,4,1,8,2,5,6] => [4,8,7,3,2,5,1,6] => [8,4,7,1,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,1,8,2,4,7] => [3,6,8,1,5,2,4,7] => [6,5,3,2,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,7,2,1,4,8,6,3] => [2,7,6,1,5,8,4,3] => [5,2,7,3,8,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[7,6,3,5,2,1,8,4] => [2,5,6,7,4,8,1,3] => [8,2,7,5,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,4,1,8,6,2] => [4,7,3,6,5,8,2,1] => [4,3,7,5,8,6,1,2] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[6,5,7,2,1,3,8,4] => [2,7,1,8,6,5,3,4] => [7,2,1,6,8,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,2,7,6,4,8,3] => [5,1,8,6,2,7,4,3] => [8,1,5,6,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,5,6,8,4,2] => [7,4,1,8,3,5,6,2] => [7,8,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,1,3,5,6,8,2,4] => [7,8,1,2,3,5,6,4] => [8,7,2,3,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,8,4,6,5,7] => [3,1,2,8,6,4,5,7] => [3,1,2,6,8,5,4,7] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[2,5,4,3,8,6,1,7] => [6,2,4,5,3,8,1,7] => [2,4,8,5,1,6,3,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[3,8,5,7,4,2,6,1] => [6,4,3,7,8,2,5,1] => [3,7,8,4,6,2,1,5] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[7,6,2,8,1,3,5,4] => [8,6,1,5,3,7,2,4] => [5,6,2,8,3,7,4,1] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[7,1,4,6,8,5,3,2] => [7,3,5,1,8,4,6,2] => [3,8,7,2,5,1,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,6,4,8,3] => [5,7,8,6,2,1,4,3] => [8,6,5,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,5,7,6,3,2] => [1,3,6,4,7,8,2,5] => [1,4,3,8,7,6,5,2] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[2,8,1,5,6,4,7,3] => [8,2,7,6,1,5,4,3] => [2,6,7,8,4,1,3,5] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[3,7,2,8,1,5,6,4] => [8,7,3,6,1,5,2,4] => [3,6,7,8,4,1,5,2] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[7,3,2,5,1,6,8,4] => [5,3,7,8,2,1,6,4] => [7,8,3,5,2,4,1,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,3,2,8,1,4,6,5] => [8,3,7,1,6,4,2,5] => [3,7,6,2,8,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,7,6,2,1,8,3] => [2,6,7,5,4,8,3,1] => [7,2,5,8,1,6,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,6,4,5,1,3,2,7] => [5,3,1,6,4,8,2,7] => [3,8,2,5,1,6,4,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,8,5,3,2,6] => [7,3,5,4,8,2,1,6] => [3,7,4,8,5,1,6,2] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[5,1,8,4,3,6,2,7] => [5,6,4,8,1,3,2,7] => [6,5,8,4,3,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,6,7,1,4,3,5,2] => [7,5,4,1,3,8,6,2] => [4,5,8,3,1,7,2,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[6,7,5,1,8,3,2,4] => [5,3,7,1,8,6,2,4] => [6,7,3,2,5,8,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[8,7,3,2,6,5,4,1] => [4,3,5,6,7,2,8,1] => [6,8,3,4,5,1,7,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,5,1,6,4,7,3,2] => [5,3,8,7,6,2,1,4] => [5,8,3,6,7,2,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,5,6,1,7,4,2,3] => [6,4,2,7,8,5,1,3] => [7,8,1,4,6,2,5,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,4,1,2,5,7,8,3] => [4,1,6,8,3,5,7,2] => [7,1,6,4,2,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,4,2,3,1,7,5,8] => [3,4,2,6,7,1,5,8] => [7,3,1,4,6,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[6,4,3,7,1,8,2,5] => [7,8,4,6,2,3,1,5] => [6,4,8,7,2,3,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,1,2,7,6,3,4,8] => [5,1,6,3,2,7,4,8] => [7,1,5,2,4,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,6,1,7,2,4,3,8] => [6,7,4,2,5,1,3,8] => [5,4,6,2,7,3,1,8] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[3,5,6,8,1,2,7,4] => [8,1,3,7,5,6,2,4] => [3,1,5,6,7,8,4,2] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[2,6,5,3,4,1,7,8] => [4,2,5,3,6,1,7,8] => [2,6,4,1,5,3,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[6,1,5,4,2,7,8,3] => [6,4,5,8,1,3,7,2] => [5,7,6,4,3,1,8,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[2,8,6,5,1,3,7,4] => [5,2,1,6,8,7,3,4] => [2,8,1,6,5,7,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,8,2,7,5,1,4] => [5,7,3,2,8,6,1,4] => [6,3,7,1,5,8,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[5,6,4,1,7,2,8,3] => [4,6,7,8,5,2,3,1] => [7,6,5,4,8,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,4,5,3,8,7,2,6] => [1,7,5,4,3,2,8,6] => [1,4,5,8,2,3,7,6] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,4,5,3,6,8,2,7] => [1,8,5,4,3,6,2,7] => [1,4,5,6,2,8,3,7] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[3,4,1,6,8,5,7,2] => [4,7,3,1,8,6,5,2] => [4,3,7,2,6,8,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[3,8,6,1,5,7,4,2] => [6,4,3,8,2,7,5,1] => [3,6,8,4,1,7,2,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[8,6,7,1,3,5,4,2] => [7,4,1,5,3,8,6,2] => [4,8,2,5,1,7,3,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,6,7,5,8,2] => [4,8,3,1,7,6,5,2] => [4,3,6,2,7,8,1,5] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[3,4,1,5,7,8,6,2] => [4,6,3,1,5,8,7,2] => [4,3,5,2,7,6,8,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[3,4,1,5,8,6,7,2] => [4,7,3,1,5,8,6,2] => [4,3,5,2,8,7,1,6] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[2,5,8,3,6,1,7,4] => [6,2,8,7,5,3,1,4] => [2,7,5,6,8,3,4,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[7,4,2,3,1,6,8,5] => [3,4,2,7,8,1,6,5] => [8,3,1,4,7,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,4,5,1,8,2,6] => [5,8,3,7,4,2,1,6] => [5,3,8,7,1,2,6,4] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,4,3,7,1,8,5,2] => [7,5,4,8,6,2,1,3] => [5,6,8,4,7,2,3,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[7,3,1,6,2,4,5,8] => [3,7,6,1,4,2,5,8] => [7,3,6,2,1,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,3,6,2,5,8,1,7] => [8,6,4,3,2,5,1,7] => [4,6,8,1,2,3,5,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,6,7,2,8,5,3,4] => [1,7,5,3,8,6,2,4] => [1,6,7,2,5,8,4,3] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[4,3,5,7,8,1,2,6] => [8,1,4,3,5,2,7,6] => [4,1,5,2,7,3,8,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[5,4,1,3,7,6,2,8] => [4,5,2,6,3,7,1,8] => [7,5,1,4,2,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,3,1,5,7,6,2,8] => [3,4,6,2,5,7,1,8] => [5,4,3,1,7,6,2,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[5,2,4,3,8,7,1,6] => [7,5,4,2,3,1,8,6] => [4,5,8,2,1,3,7,6] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[8,2,1,4,3,7,5,6] => [2,8,4,1,7,5,3,6] => [4,2,7,3,8,1,6,5] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[6,7,2,5,4,1,8,3] => [4,5,7,8,3,6,2,1] => [7,6,5,4,1,8,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[3,1,8,4,7,5,6,2] => [3,6,1,8,7,5,4,2] => [8,3,2,6,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,4,1,6,5,7] => [4,8,3,2,6,1,5,7] => [4,3,6,1,8,5,2,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[7,1,6,8,3,2,4,5] => [7,3,8,2,4,1,6,5] => [7,8,3,1,2,5,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,2,8,6,1,3,5,4] => [6,8,2,5,3,7,1,4] => [6,5,1,8,3,7,4,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,7,2,6,4,1,8,3] => [4,6,7,8,5,3,2,1] => [7,6,5,4,8,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,4,3,1,6,8,2,5] => [3,4,7,8,2,1,6,5] => [8,7,3,4,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,1,3,8,2,7] => [6,8,1,4,5,3,2,7] => [5,4,2,6,8,1,3,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[6,3,5,7,4,2,8,1] => [8,4,7,6,2,5,3,1] => [4,8,6,7,2,1,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,8,5,3,1,2] => [3,1,5,8,6,7,2,4] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,6,5,2,7,4] => [1,5,3,6,8,7,2,4] => [1,3,8,6,5,7,4,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,2,8,5,7,4,6,3] => [1,2,6,7,8,4,5,3] => [1,2,8,7,6,4,3,5] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,8,5,4,7,2,3] => [1,7,2,5,8,6,4,3] => [1,6,2,7,5,8,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[3,8,4,5,6,7,1,2] => [7,1,3,8,4,5,6,2] => [3,1,8,7,2,4,5,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,7,4,6,8,5] => [2,1,3,7,8,4,6,5] => [2,1,3,8,7,5,4,6] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[5,7,1,8,3,2,6,4] => [7,3,8,6,5,2,1,4] => [5,6,3,7,8,2,4,1] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[2,1,3,8,6,4,7,5] => [2,1,3,6,8,7,5,4] => [2,1,3,8,6,7,4,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[7,4,8,1,3,2,5,6] => [8,3,1,7,2,5,4,6] => [3,7,2,8,4,1,6,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,5,8,6,4,3,7,2] => [1,7,4,6,5,8,3,2] => [1,4,7,5,8,6,2,3] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[2,6,1,8,4,7,5,3] => [6,2,5,7,8,1,3,4] => [2,7,8,6,5,4,3,1] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,6,2,3,7,1,8,5] => [7,6,2,4,8,3,1,5] => [4,7,1,8,6,3,5,2] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[7,5,6,3,2,1,8,4] => [2,3,6,8,7,5,1,4] => [8,2,3,6,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,2,3,1,8,4] => [3,6,2,8,7,5,1,4] => [8,3,1,6,7,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,3,6,1,8,4] => [6,5,2,7,8,4,1,3] => [7,8,1,6,5,2,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,5,3,6,2,1,8,4] => [2,6,5,7,8,4,1,3] => [7,2,8,6,5,1,4,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,7,1,4,2,8,3] => [7,4,8,1,6,5,2,3] => [6,7,4,3,8,1,5,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[3,8,2,5,7,6,1,4] => [6,7,3,2,1,8,5,4] => [7,3,8,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,5,2,6,1,3,8,4] => [6,5,1,7,8,4,3,2] => [7,8,2,6,5,1,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,6,3,2,1,4,8,5] => [2,3,6,1,7,8,5,4] => [8,2,3,1,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,1,6,3,8,4] => [2,5,7,6,8,3,4,1] => [8,2,6,7,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,2,7,4,6,1] => [6,8,5,7,3,4,2,1] => [7,5,8,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,1,5,4,2,6,8,3] => [7,4,5,8,1,3,6,2] => [5,8,7,4,3,1,2,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,2,8,4,3,5,7,1] => [7,6,4,8,3,2,5,1] => [6,7,8,4,1,3,2,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[6,2,8,5,3,7,1,4] => [7,6,5,1,8,2,3,4] => [6,7,8,3,5,4,2,1] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[4,3,2,8,7,5,1,6] => [5,3,4,2,7,1,8,6] => [3,8,4,1,5,2,7,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,5,7,8,3] => [2,4,6,8,3,5,7,1] => [7,2,6,4,1,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,3,2,8,4,7,5,1] => [5,3,7,6,8,4,1,2] => [6,8,3,7,5,1,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[5,4,7,2,1,3,8,6] => [2,7,1,5,4,8,3,6] => [5,2,1,8,3,7,6,4] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,5,3,2,7,8,4,1] => [4,3,8,5,6,1,7,2] => [4,7,3,5,6,2,8,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[2,6,4,5,7,1,8,3] => [7,2,8,6,4,5,1,3] => [2,7,6,8,1,3,5,4] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[4,6,7,5,8,2,1,3] => [2,8,1,4,7,6,5,3] => [4,2,1,6,7,8,3,5] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[7,4,1,8,3,6,2,5] => [4,7,6,8,3,1,2,5] => [8,6,7,4,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,6,4,1,8,3] => [4,2,6,7,5,8,1,3] => [2,7,5,4,8,6,3,1] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,2,5,3,7,8,6,4] => [1,2,5,6,3,8,7,4] => [1,2,7,5,4,6,8,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[4,8,3,5,1,2,7,6] => [5,1,8,4,3,7,2,6] => [5,1,4,7,2,8,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[6,5,2,3,7,1,8,4] => [7,5,2,6,8,4,1,3] => [6,8,1,7,5,2,4,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[7,2,1,6,4,8,3,5] => [2,7,8,6,3,1,4,5] => [7,2,6,8,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[2,1,3,7,5,8,4,6] => [2,1,3,8,7,4,5,6] => [2,1,3,7,8,5,6,4] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[6,2,4,5,7,1,8,3] => [7,6,8,2,4,5,1,3] => [7,8,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,1,3,4,5,8,6,7,9] => [2,1,3,4,5,8,6,7,9] => [2,1,3,4,5,8,6,7,9] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[7,4,5,1,3,6,8,2] => [5,8,1,7,4,3,6,2] => [8,5,2,7,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,4,5,1,3,6] => [5,8,1,7,4,3,2,6] => [8,5,2,7,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,4,1,3,5,8] => [4,2,1,7,3,6,5,8] => [2,6,1,4,3,7,5,8] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[6,7,4,1,3,5,8,2] => [4,7,2,8,3,6,5,1] => [7,6,1,4,2,8,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,2,8,3,5,6,4,1] => [4,6,7,8,1,5,3,2] => [8,7,6,4,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,8,6,5,2,4] => [7,5,1,2,6,8,3,4] => [5,8,2,3,7,6,4,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,1,8,7,3,6,2,4] => [5,6,7,2,1,3,8,4] => [8,6,5,2,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,6,1,8,4] => [6,3,5,7,2,8,4,1] => [3,8,7,5,2,6,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,2,8,7,1,3] => [7,4,1,6,5,2,8,3] => [4,6,2,5,8,3,7,1] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[5,7,4,2,6,1,8,3] => [6,4,7,8,5,3,1,2] => [6,7,5,4,8,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[5,4,7,1,6,2,8,3] => [7,6,8,5,4,1,2,3] => [6,7,5,8,1,4,3,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[5,7,1,8,2,4,3,6] => [7,8,4,2,5,3,1,6] => [5,4,7,2,8,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[6,7,1,2,5,8,4,3] => [7,1,4,8,2,6,5,3] => [6,1,7,4,3,8,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[6,1,7,3,8,4,5,2] => [6,5,7,8,4,1,3,2] => [7,8,6,5,1,4,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,3,1,6,4,7,5] => [3,8,2,6,7,1,4,5] => [6,3,1,8,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,8,7,2,3,4,6,5] => [1,7,2,3,6,4,8,5] => [1,6,2,3,8,5,7,4] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,8,3,7,6,2,5,4] => [1,6,7,5,3,8,2,4] => [1,7,5,8,3,6,4,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,3,2,7,4,6,8,5] => [1,3,2,7,8,4,6,5] => [1,3,2,8,7,5,4,6] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,3,8,4,6,2,7,5] => [1,6,3,8,7,4,2,5] => [1,3,8,6,7,4,5,2] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,5,4,7,2,8] => [3,6,7,5,2,4,1,8] => [6,5,3,7,2,1,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[2,5,8,4,3,6,7,1] => [7,2,4,8,5,3,6,1] => [2,5,7,4,8,1,3,6] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[4,5,3,8,2,6,7,1] => [7,8,5,4,3,2,6,1] => [5,4,7,8,1,2,3,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,2,5,8,6,7,3,1] => [3,7,4,1,5,8,6,2] => [5,3,4,2,8,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[8,2,3,6,7,4,5,1] => [5,8,2,7,4,3,6,1] => [8,5,1,7,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,8,5,4,2,7] => [6,4,1,5,8,3,2,7] => [4,8,2,6,5,1,3,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,6,3,8,4,1] => [4,2,8,6,5,7,1,3] => [2,6,4,5,8,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[3,6,7,5,4,1,8,2] => [4,5,3,7,8,6,1,2] => [6,3,7,4,5,8,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[6,8,5,2,1,4,3,7] => [2,5,4,1,8,6,3,7] => [4,2,6,3,5,8,1,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[8,4,6,5,2,7,1,3] => [7,5,1,6,8,2,4,3] => [6,8,2,7,5,4,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,2,1,5,7,4,3,6] => [2,8,4,7,1,3,5,6] => [4,2,8,7,3,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[8,7,1,2,3,5,4,6] => [7,1,2,5,3,4,8,6] => [5,1,2,8,4,3,7,6] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[7,4,5,1,6,8,2,3] => [5,8,2,7,4,1,6,3] => [8,5,1,7,2,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,2,6,8,1,5] => [8,3,4,7,1,2,6,5] => [3,8,4,7,2,5,1,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,8,4,6,3,1,7] => [3,6,5,8,1,4,2,7] => [8,3,6,5,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,5,3,1,2,8] => [3,1,5,7,6,2,4,8] => [7,1,3,5,6,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,2,6,3,1,8,4,7] => [3,6,5,8,1,2,4,7] => [8,3,6,5,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,6,2,7,4,5] => [8,6,3,7,4,1,2,5] => [3,6,8,7,1,5,4,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,5,2,7,3,6,8,4] => [1,5,7,8,2,3,6,4] => [1,8,7,5,4,3,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,6,2,8,5,3] => [1,6,5,4,7,8,3,2] => [1,4,7,8,5,6,2,3] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[6,2,5,1,3,8,7,4] => [5,6,1,7,2,3,8,4] => [8,6,2,5,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,5,1,3,7,4] => [5,8,2,6,7,4,3,1] => [8,5,1,7,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,7,1,8,2,4] => [7,8,6,2,3,5,1,4] => [7,6,8,2,3,1,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,6,2,4,1,5,8] => [4,6,7,2,1,3,5,8] => [7,6,4,2,3,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,7,5,8,4,3,6,2] => [1,6,4,8,7,3,5,2] => [1,6,8,4,7,3,2,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[2,7,8,5,1,6,3,4] => [5,2,8,1,6,3,7,4] => [2,7,5,3,6,4,8,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[2,3,7,8,5,6,4,1] => [4,2,3,6,8,5,7,1] => [2,3,7,4,6,1,8,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[2,3,7,5,8,1,6,4] => [8,2,3,6,7,1,5,4] => [2,3,6,8,7,5,1,4] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[2,3,7,5,8,6,4,1] => [4,2,3,6,8,7,1,5] => [2,3,8,4,6,7,5,1] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[5,8,1,6,4,7,2,3] => [8,7,2,6,5,1,4,3] => [5,6,1,7,8,4,2,3] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[2,4,7,5,1,8,6,3] => [5,2,7,4,6,8,3,1] => [2,5,4,8,7,6,1,3] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[6,5,1,2,7,4,8,3] => [5,1,6,8,7,3,2,4] => [8,1,7,5,6,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,7,8,2,4,1] => [4,8,3,2,6,5,7,1] => [4,3,6,1,7,2,8,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[3,6,5,1,8,7,4,2] => [5,4,3,6,7,2,8,1] => [3,6,8,4,5,1,7,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[7,4,5,8,1,3,2,6] => [8,3,1,7,4,2,5,6] => [3,7,2,8,1,5,6,4] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[7,8,1,2,5,4,3,6] => [8,1,4,5,2,3,7,6] => [4,1,7,5,3,2,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[8,7,1,2,6,4,3,5] => [7,1,4,6,3,2,8,5] => [4,1,8,6,2,5,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[4,2,7,1,6,5,3,8] => [7,4,5,2,6,1,3,8] => [4,7,5,2,6,3,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[3,4,7,6,5,8,1,2] => [8,1,3,4,6,7,5,2] => [3,1,4,6,8,7,2,5] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[4,2,5,3,6,8,7,1] => [7,4,5,2,3,6,8,1] => [4,6,5,2,1,8,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[3,8,4,1,6,5,7,2] => [4,8,3,7,6,2,5,1] => [4,3,7,6,8,2,1,5] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,8,5,2,6,4,7,3] => [1,5,8,7,6,3,2,4] => [1,8,5,6,7,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,5,1,6,4,7,2] => [5,8,3,7,6,2,1,4] => [5,3,8,6,7,2,4,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[4,8,5,1,6,3,7,2] => [5,8,7,4,6,2,1,3] => [6,4,5,8,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,8,5,4,6,2,7,1] => [7,6,3,5,8,4,2,1] => [3,6,7,8,5,1,2,4] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[4,1,7,6,8,2,5,3] => [4,8,5,1,2,7,6,3] => [7,4,5,3,2,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,2,6,4,1,5,3,8] => [4,6,7,5,2,3,1,8] => [7,5,4,6,2,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,2,6,5,8,3,7,4] => [1,2,8,7,6,5,3,4] => [1,2,6,7,8,3,5,4] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[4,5,8,1,7,3,6,2] => [8,6,7,4,5,3,1,2] => [4,6,5,7,8,1,3,2] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[4,7,1,6,8,5,2,3] => [7,5,2,4,8,1,6,3] => [4,7,1,8,5,3,2,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[4,1,8,3,2,5,7,6] => [4,3,8,1,2,7,5,6] => [4,7,3,2,1,8,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[8,2,6,1,5,7,4,3] => [6,8,4,7,1,2,5,3] => [7,4,8,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,1,3,5,6,2,7,8] => [4,6,1,3,5,2,7,8] => [5,4,2,1,6,3,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[2,6,1,3,7,5,8,4] => [6,2,1,8,7,3,5,4] => [2,8,1,6,7,5,3,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,7,6,3,8,4] => [5,2,6,7,1,8,4,3] => [2,8,7,5,4,6,1,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,8,5,2,6,3] => [1,5,8,4,6,3,7,2] => [1,5,4,7,6,2,8,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[5,7,1,6,4,2,8,3] => [7,4,6,8,5,1,3,2] => [5,7,6,4,8,3,1,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[2,7,1,6,5,8,4,3] => [7,2,4,8,6,1,5,3] => [2,6,7,4,8,5,1,3] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[2,3,6,1,7,5,4,8] => [6,2,3,5,7,1,4,8] => [2,3,6,7,5,4,1,8] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[6,1,5,7,3,4,8,2] => [6,8,7,3,1,5,4,2] => [8,6,7,1,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,1,6,2,7,4] => [8,6,3,7,5,1,2,4] => [3,5,7,6,8,4,2,1] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[9,3,2,1,4,5,6,7,8] => [2,3,9,1,4,5,6,7,8] => [9,2,3,1,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,4,3,2,1,5,6,7,8] => [2,3,4,9,1,5,6,7,8] => [9,2,3,4,1,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,5,4,3,2,1,6,7,8] => [2,3,4,5,9,1,6,7,8] => [9,2,3,4,5,1,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[10,3,2,1,4,5,6,7,8,9] => [2,3,10,1,4,5,6,7,8,9] => [10,2,3,1,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,4,3,2,1,5,6,7,8,9] => [2,3,4,10,1,5,6,7,8,9] => [10,2,3,4,1,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,5,4,3,2,1,6,7,8,9] => [2,3,4,5,10,1,6,7,8,9] => [10,2,3,4,5,1,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,10,1,7,8,9] => [10,2,3,4,5,6,1,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,2,8,5,4,3,7,1] => [7,6,4,5,8,2,3,1] => [4,6,8,7,5,2,1,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[4,8,5,7,3,2,6,1] => [6,3,7,4,8,2,5,1] => [4,7,3,8,6,2,1,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[2,8,6,5,4,1,3,7] => [4,2,1,5,6,8,3,7] => [2,8,1,4,5,6,3,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,3,4,2,1,6,7,5] => [2,4,8,3,7,1,6,5] => [7,2,4,1,8,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[7,3,2,6,5,1,4,8] => [5,3,6,2,7,1,4,8] => [6,7,3,1,5,4,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[2,5,4,6,8,3,7,1] => [7,2,8,5,4,6,3,1] => [2,6,5,7,1,8,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[2,6,5,8,7,1,4,3] => [7,2,4,1,6,5,8,3] => [2,4,6,3,8,1,7,5] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[2,7,8,4,1,5,3,6] => [4,2,8,5,3,1,7,6] => [2,7,4,5,1,3,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,8,6,3,2,5,4,1] => [4,3,5,6,1,8,7,2] => [5,7,3,4,2,6,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,4,2,8,1,6,7,3] => [8,4,5,7,3,1,6,2] => [4,8,7,5,1,3,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,8,7,4,6,2] => [3,5,6,7,2,4,8,1] => [8,6,3,5,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,6,3,1,4,7] => [3,6,5,2,1,8,4,7] => [8,3,5,1,4,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,6,8,3,7,1] => [7,4,8,2,5,6,3,1] => [5,6,4,2,7,8,1,3] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[7,4,8,1,2,6,5,3] => [8,1,5,6,7,2,3,4] => [5,1,8,7,6,4,3,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,6,4,8,2,3,5,7] => [1,8,2,6,3,4,5,7] => [1,6,2,8,4,5,3,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[7,2,4,1,8,6,3,5] => [4,7,6,2,3,8,1,5] => [8,4,7,2,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,2,1,3,6,5] => [2,7,1,4,6,3,8,5] => [4,2,1,6,8,5,7,3] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[5,8,1,3,7,4,6,2] => [8,6,1,7,5,4,3,2] => [5,7,2,6,8,1,3,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[5,4,8,1,7,2,3,6] => [8,7,2,5,4,3,1,6] => [5,7,1,8,2,3,6,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[3,7,8,2,5,1,6,4] => [5,8,3,6,2,1,7,4] => [5,3,7,6,2,4,8,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[8,6,1,4,3,2,7,5] => [6,3,4,1,8,7,5,2] => [3,8,4,2,6,7,1,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,8,2,4,1,5,6] => [4,8,7,2,1,5,3,6] => [8,4,7,2,3,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,8,1,2,5,4] => [8,1,6,5,2,3,7,4] => [5,1,6,7,4,3,8,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[7,6,1,5,2,3,8,4] => [6,5,2,7,4,8,3,1] => [7,8,1,5,2,6,3,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,8,4,2,1,7,3,5] => [2,4,8,7,1,6,3,5] => [7,2,4,6,3,8,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,8,5,6,3,7,4,2] => [1,4,7,6,8,5,2,3] => [1,8,4,7,6,2,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,8,2,4,1,5,3] => [4,8,5,2,1,6,7,3] => [6,4,5,2,3,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,4,1,3,7,8,5,2] => [4,6,2,5,8,3,7,1] => [7,4,1,6,5,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,3,1,7,4,6,5,8] => [3,2,1,7,6,4,5,8] => [2,3,1,6,7,5,4,8] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,8,6,7,4,3,5,2] => [1,5,4,7,3,8,6,2] => [1,5,8,4,2,7,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,7,8,2,3,4,6,5] => [1,8,2,3,6,4,7,5] => [1,6,2,3,7,5,8,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[2,7,8,4,3,1,5,6] => [3,2,4,8,1,5,7,6] => [2,7,3,4,1,5,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[8,2,4,6,3,1,5,7] => [3,6,8,1,2,4,5,7] => [8,6,3,2,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,3,6,2,1,7] => [2,6,8,4,5,3,1,7] => [5,2,4,6,8,1,3,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,6,7,3,8,2,4,5] => [1,8,7,2,4,6,3,5] => [1,6,7,3,2,8,5,4] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[6,3,7,5,1,2,4,8] => [5,1,7,3,6,2,4,8] => [7,1,5,2,6,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[5,3,7,1,2,6,4,8] => [7,1,5,6,3,2,4,8] => [5,1,7,6,3,4,2,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[6,7,2,8,1,4,5,3] => [8,7,5,1,4,6,2,3] => [5,6,7,3,1,8,4,2] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[7,1,4,5,6,3,8,2] => [7,8,6,1,4,5,3,2] => [7,6,8,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[2,5,6,3,1,4,7,8] => [3,2,6,1,5,4,7,8] => [2,5,3,1,6,4,7,8] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[4,5,1,7,8,6,2,3] => [5,6,2,4,1,8,7,3] => [5,4,1,7,3,6,8,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,6,5,3,2,7,4,8] => [1,3,5,6,7,4,2,8] => [1,7,3,6,5,2,4,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,6,8,7,4,5,3,2] => [1,3,5,7,4,6,8,2] => [1,6,3,5,2,8,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,4,7,5,3,2,8,6] => [1,3,5,4,7,8,2,6] => [1,4,3,8,5,7,6,2] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[8,5,6,4,7,1,3,2] => [7,3,1,6,8,5,4,2] => [3,7,2,8,6,1,4,5] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[2,7,5,6,1,4,8,3] => [6,2,8,1,7,5,4,3] => [2,8,6,3,7,1,4,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,6,1,3,7,5,2] => [6,5,1,7,8,2,3,4] => [7,8,2,6,5,4,3,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,6,2,4,7,3,1] => [3,7,6,1,8,5,4,2] => [8,3,7,2,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,4,2,6,1,7] => [6,4,3,8,5,2,1,7] => [3,5,6,4,8,1,2,7] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[8,3,6,5,1,7,4,2] => [5,4,6,7,8,1,3,2] => [7,8,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,2,3,7,4,8,5,9,6] => [1,2,3,7,8,9,4,5,6] => [1,2,3,9,8,7,6,5,4] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,4,7,5,9,8,6] => [1,2,3,4,7,8,5,9,6] => [1,2,3,4,9,7,6,8,5] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,3,4,8,5,9,6,10,7] => [1,2,3,4,8,9,10,5,6,7] => [1,2,3,4,10,9,8,7,6,5] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,6,2,5,8,7] => [3,4,6,2,1,5,8,7] => [6,4,3,1,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[7,5,2,1,8,4,3,6] => [2,5,4,7,8,1,3,6] => [7,2,8,4,5,3,6,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,1,5,8,2,3,4,6] => [7,8,2,3,1,4,5,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,5,4,7,6,10,8,9] => [1,3,2,5,4,7,6,10,8,9] => [1,3,2,5,4,7,6,10,8,9] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[6,7,3,1,8,2,4,5] => [3,7,8,1,4,6,2,5] => [7,6,3,2,1,8,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[5,7,3,4,6,2,1,8] => [2,6,7,3,5,4,1,8] => [6,2,5,1,7,3,4,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[3,7,2,5,1,6,4,8] => [5,7,3,6,2,1,4,8] => [5,3,7,6,2,4,1,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[4,5,8,2,7,6,3,1] => [3,6,7,4,5,8,2,1] => [5,4,3,7,8,6,1,2] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[5,3,6,8,1,7,4,2] => [8,4,7,5,2,6,1,3] => [4,7,5,6,2,8,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[2,3,7,8,1,6,4,5] => [8,2,3,6,4,1,7,5] => [2,3,6,7,1,5,8,4] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,2,3,4,5,8,9,7,6] => [1,2,3,4,5,7,9,8,6] => [1,2,3,4,5,8,7,9,6] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,4,7,8,5,6,3] => [1,2,6,4,8,5,7,3] => [1,2,4,7,6,3,8,5] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[8,2,6,5,7,4,3,1] => [3,4,7,8,6,2,5,1] => [7,6,3,4,8,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,2,6,3,7,5,4,1] => [4,5,7,8,6,1,2,3] => [8,6,5,4,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,3,2,6,7,8] => [4,3,5,1,2,6,7,8] => [4,5,3,2,1,6,7,8] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[5,3,8,1,7,4,2,6] => [8,4,7,5,2,3,1,6] => [4,8,5,7,2,1,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,8,7,2,4,6,3,1] => [3,6,7,1,5,4,8,2] => [6,5,3,2,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[5,3,1,2,6,4,8,7] => [3,1,5,6,2,4,8,7] => [6,1,3,5,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[5,3,1,4,6,8,2,7] => [3,5,8,2,4,6,1,7] => [6,5,3,1,2,8,4,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[4,3,6,5,1,2,8,7] => [5,1,4,3,6,2,8,7] => [4,1,6,2,5,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[3,5,4,7,8,1,6,2] => [8,6,3,5,4,1,7,2] => [3,5,6,7,1,4,8,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[2,1,6,5,8,7,3,4] => [2,1,7,3,6,5,8,4] => [2,1,6,3,8,4,7,5] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[6,4,5,7,1,8,3,2] => [7,3,8,6,4,5,1,2] => [6,7,3,8,1,2,5,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[4,8,2,5,7,3,6,1] => [6,8,7,4,2,3,5,1] => [7,4,6,8,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,7,8,1,6,2,5,4] => [8,6,3,5,2,1,7,4] => [3,5,6,7,2,4,8,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[3,4,6,1,7,5,8,2] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[6,1,5,4,7,3,8,2] => [6,8,7,5,1,4,3,2] => [7,5,6,8,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[3,2,5,6,7,1,8,4] => [7,3,2,8,5,6,1,4] => [3,6,1,5,7,8,4,2] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[6,4,5,1,7,3,8,2] => [5,8,7,6,4,1,3,2] => [8,5,6,7,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,3,7,2,8,4] => [6,7,5,8,1,3,2,4] => [7,6,8,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,2,5,4,7,3,8,1] => [8,6,7,5,2,4,3,1] => [5,7,6,8,3,1,2,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[8,5,7,6,1,3,4,2] => [6,4,1,3,7,8,2,5] => [4,8,2,1,7,6,5,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,5,1,7,3,4,2] => [5,4,6,3,8,7,1,2] => [6,8,4,1,5,7,3,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,4,2,7,6,3,5,1] => [5,4,8,6,2,7,3,1] => [6,8,4,5,2,7,1,3] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,7,2,1,6,3,5,4] => [2,7,6,5,3,1,8,4] => [5,2,6,8,3,4,7,1] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[3,1,8,4,2,7,6,5] => [3,4,1,8,6,7,2,5] => [6,3,2,4,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[8,2,3,1,7,6,4,5] => [3,8,2,6,4,7,1,5] => [6,3,1,8,2,7,5,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,2,5,8,3,1,4,6] => [3,8,7,2,1,4,5,6] => [8,3,7,1,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,3,1,7,4,5] => [3,8,2,7,4,6,1,5] => [6,3,1,7,2,8,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[8,2,5,7,3,1,4,6] => [3,7,8,2,1,4,5,6] => [8,7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,3,1,4,5,6] => [3,7,8,2,4,5,1,6] => [8,7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,7,1,8,5,4] => [7,6,2,5,8,3,1,4] => [6,7,1,8,5,3,4,2] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[8,6,7,4,1,3,5,2] => [4,7,2,5,3,8,6,1] => [8,4,1,5,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,6,5,2,8,7] => [4,5,1,3,6,2,8,7] => [6,4,2,1,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[4,8,3,2,6,5,7,1] => [7,3,8,4,6,2,5,1] => [4,6,3,7,8,2,1,5] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[8,1,6,2,5,4,7,3] => [8,6,7,5,2,1,4,3] => [5,7,6,8,3,4,1,2] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[2,4,3,8,6,1,7,5] => [6,2,4,3,8,7,5,1] => [2,4,8,1,6,7,3,5] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,6,3,8,5,4,7,1] => [7,2,6,5,8,3,4,1] => [2,6,7,8,5,3,1,4] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,8,4,3,5,2,7,1] => [7,5,4,8,3,6,2,1] => [5,6,7,4,1,8,2,3] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[3,5,4,6,1,2,8,7] => [6,1,3,5,4,2,8,7] => [3,1,5,6,2,4,8,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[7,3,5,6,1,8,2,4] => [6,8,7,2,3,5,1,4] => [8,6,7,2,3,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,2,3,5,8,1] => [8,7,2,4,3,6,5,1] => [4,6,1,7,2,8,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[8,5,2,4,1,7,3,6] => [4,5,8,3,7,2,1,6] => [8,5,4,1,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,5,2,3,7,8] => [6,5,2,4,1,3,7,8] => [4,5,1,6,3,2,7,8] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[4,5,3,8,1,6,2,7] => [8,6,5,4,3,1,2,7] => [4,5,6,8,1,3,2,7] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[4,7,1,2,6,8,5,3] => [7,1,5,4,8,2,6,3] => [4,1,7,8,5,3,2,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,8,5,6,2,3,7,4] => [1,6,2,7,8,5,3,4] => [1,8,2,7,6,3,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,8,1,5,3] => [8,7,5,2,1,4,6,3] => [5,7,8,2,4,1,3,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,2,5,4,7,8,1,3] => [8,6,1,5,2,4,7,3] => [5,6,2,7,4,1,8,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[6,1,7,4,2,3,8,5] => [6,4,2,7,8,1,3,5] => [7,8,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,5,6,1,3,2,7,4] => [6,3,1,7,8,5,2,4] => [3,8,2,7,6,1,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,5,2,8,6,1] => [6,5,4,3,8,7,1,2] => [4,6,8,1,5,7,3,2] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[5,3,7,8,2,6,1,4] => [6,8,5,1,3,2,7,4] => [6,5,7,3,2,4,8,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[4,5,8,3,6,1,7,2] => [6,7,8,4,5,3,1,2] => [6,5,4,7,8,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[5,4,6,1,2,8,7,3] => [6,1,7,5,4,2,8,3] => [6,1,5,8,2,4,7,3] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,6,3,4,1,5,7,8] => [4,2,6,3,1,5,7,8] => [2,6,4,1,3,5,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[8,2,6,4,3,7,5,1] => [5,7,4,8,6,3,1,2] => [6,5,8,4,7,1,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[8,6,3,2,7,4,5,1] => [5,3,6,8,2,7,4,1] => [6,8,3,5,2,7,1,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,8,2,5,7,3,1,4] => [3,7,8,2,1,6,5,4] => [7,6,3,1,4,8,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,6,5,1,7,8,2,3] => [5,6,1,4,8,2,7,3] => [6,4,2,7,5,3,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[3,6,5,1,8,2,4,7] => [5,6,3,1,8,2,4,7] => [6,3,8,2,5,4,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,8,7,3,4,2,6,1] => [6,4,7,3,5,2,8,1] => [5,6,4,1,8,2,7,3] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,4,6,8,7,5,2,3] => [1,5,2,4,7,6,8,3] => [1,4,2,6,5,8,7,3] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[6,4,3,8,7,5,2,1] => [2,5,4,7,6,1,8,3] => [5,2,8,4,6,3,7,1] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[8,5,2,3,6,4,7,1] => [7,5,2,8,6,4,3,1] => [6,8,1,5,7,2,3,4] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[4,7,2,3,5,8,6,1] => [6,8,1,4,3,7,5,2] => [6,4,2,8,1,7,3,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,7,2,4,5,8,6,1] => [6,8,3,1,4,7,5,2] => [6,3,8,2,1,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[4,8,2,5,6,7,3,1] => [3,7,8,4,1,5,6,2] => [7,4,3,8,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,5,8,3,2,6,7,1] => [7,3,8,4,5,2,6,1] => [4,5,3,7,8,1,2,6] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[3,8,5,2,7,4,6,1] => [6,5,3,8,7,2,4,1] => [3,7,8,5,6,2,1,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,2,8,6,3,5,7,1] => [7,4,6,2,3,8,5,1] => [4,8,7,2,1,6,3,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,8,4,3,6,1] => [6,7,4,8,2,3,5,1] => [7,6,8,4,2,3,1,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,8,2,3,4,7,6,1] => [6,7,1,3,5,8,4,2] => [7,5,2,1,8,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[8,3,1,4,7,5,2,6] => [3,8,5,2,7,1,4,6] => [8,3,5,1,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,6,4,8,7,2] => [3,5,7,6,2,4,8,1] => [8,5,3,6,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,3,1,4,7,2] => [3,8,7,2,6,5,4,1] => [7,3,6,1,8,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,6,7,1,2,4,8,3] => [7,1,8,2,5,6,4,3] => [6,1,5,3,7,8,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[7,1,6,8,3,2,5,4] => [7,3,8,5,2,1,6,4] => [5,7,3,8,2,4,1,6] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[2,7,1,6,4,3,8,5] => [7,2,4,6,8,1,3,5] => [2,4,8,7,6,5,3,1] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[2,3,8,4,5,1,7,6] => [5,2,3,8,4,7,1,6] => [2,3,7,5,1,8,6,4] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[6,5,4,3,2,1,9,7,8] => [2,3,4,5,6,1,9,7,8] => [6,2,3,4,5,1,9,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[3,7,8,5,6,2,4,1] => [4,6,3,2,8,5,7,1] => [4,3,7,1,6,2,8,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[7,4,3,6,2,5,8,1] => [8,6,4,7,2,3,5,1] => [4,7,8,6,2,3,1,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[4,3,8,7,1,6,2,5] => [7,6,4,3,2,1,8,5] => [4,6,8,1,2,5,7,3] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[8,2,3,1,6,5,7,4] => [3,8,2,7,6,1,5,4] => [6,3,1,7,8,5,2,4] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,7,5,8,6,2,4,3] => [1,6,4,2,8,7,3,5] => [1,4,8,3,6,7,5,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,3,6,1,8,4,7,2] => [6,7,5,8,3,1,4,2] => [7,6,8,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,2,1,8,5,7,6,3] => [2,4,6,1,7,8,3,5] => [8,2,4,3,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,7,8,4,6,3] => [2,5,6,8,1,4,7,3] => [7,2,6,5,4,1,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,3,2,8,6,4,7,5] => [1,3,2,6,8,7,5,4] => [1,3,2,8,6,7,4,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[4,8,2,6,7,3,1,5] => [3,7,8,4,2,1,6,5] => [7,4,3,8,1,5,2,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,8,2,1,5,6,3,4] => [2,8,6,3,1,5,7,4] => [6,2,7,1,4,3,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[7,2,6,4,8,5,1,3] => [5,8,2,7,6,4,1,3] => [8,5,1,6,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,6,3,8,7,2] => [5,7,6,1,4,3,8,2] => [8,5,6,3,1,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,4,3,7,1,8] => [7,5,4,6,2,3,1,8] => [4,6,7,5,2,1,3,8] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[3,6,1,4,8,5,7,2] => [6,7,3,1,8,4,5,2] => [7,3,8,2,6,4,1,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[7,3,2,6,4,1,5,8] => [4,3,6,7,2,1,5,8] => [6,7,3,4,1,5,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[6,2,7,5,3,4,8,1] => [8,6,5,3,7,2,4,1] => [5,7,8,1,6,3,2,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[6,5,4,1,7,2,3,8] => [4,5,2,6,7,1,3,8] => [7,6,1,4,5,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[8,3,6,1,7,4,5,2] => [6,5,8,7,4,3,1,2] => [7,8,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,5,1,8,6,2,4,7] => [5,6,3,2,1,8,4,7] => [5,3,8,1,4,6,2,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,4,6,2,1,8,3,7] => [2,6,8,5,4,1,3,7] => [6,2,5,8,1,4,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[5,6,4,8,1,2,3,7] => [8,1,2,6,5,4,3,7] => [5,1,2,6,8,3,4,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[4,6,1,3,7,8,2,5] => [6,8,1,4,2,3,7,5] => [6,4,2,7,3,5,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[2,7,5,6,1,3,8,4] => [6,2,1,8,7,5,3,4] => [2,8,1,6,7,3,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,8,7,6,1,3] => [6,4,1,2,5,7,8,3] => [4,5,2,3,8,6,7,1] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[3,8,1,4,7,5,6,2] => [8,6,3,1,7,5,4,2] => [3,6,8,2,7,1,4,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[8,1,6,7,4,5,3,2] => [8,3,5,7,4,1,6,2] => [3,8,5,7,1,4,2,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,2,3,5,1,8] => [5,7,2,4,3,6,1,8] => [5,4,1,6,2,7,3,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[6,4,8,1,5,3,7,2] => [8,7,5,6,1,4,3,2] => [5,6,8,7,4,1,2,3] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[2,6,3,8,1,5,7,4] => [8,2,6,7,1,3,5,4] => [2,6,8,7,4,5,1,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,2,4,5,7,1,3,6] => [7,8,1,2,4,3,5,6] => [8,7,2,3,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,6,3,7,2,4] => [5,7,6,2,1,8,3,4] => [8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,7,4,6,2,5] => [8,6,1,7,2,4,3,5] => [6,8,2,7,4,3,5,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[8,1,5,7,4,3,6,2] => [8,6,4,7,1,3,5,2] => [4,7,8,6,3,2,1,5] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[8,3,6,2,7,1,4,5] => [7,6,8,1,4,3,2,5] => [7,8,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[3,1,4,7,5,2,6,8] => [3,5,1,4,7,2,6,8] => [4,3,2,7,5,1,6,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,6,4,3,5,8,2,7] => [1,8,4,6,3,5,2,7] => [1,4,8,6,2,3,5,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,8,1,6,3,2,7,4] => [8,3,6,7,5,1,2,4] => [3,7,5,6,8,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[7,4,6,8,2,5,1,3] => [5,8,1,7,2,4,6,3] => [8,5,2,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,3,5,1,8,4] => [5,2,6,7,4,8,1,3] => [2,8,7,5,1,6,4,3] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,3,1,6,7,2,5] => [3,4,8,7,2,1,6,5] => [8,4,3,7,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,5,3,4,6,1] => [6,2,5,3,7,4,8,1] => [2,6,8,1,5,3,7,4] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,5,7,3,4,2,6,8] => [1,4,7,3,5,2,6,8] => [1,5,4,2,7,3,6,8] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[4,6,5,1,7,8,3,2] => [5,3,6,4,8,2,7,1] => [4,6,3,7,5,1,8,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[3,4,6,2,7,5,1,8] => [5,7,3,4,6,1,2,8] => [4,3,5,7,6,2,1,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[4,3,6,1,2,7,8,5] => [6,1,4,3,8,2,7,5] => [4,1,7,2,6,5,8,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[3,7,6,2,5,1,8,4] => [5,6,3,7,4,8,1,2] => [7,3,8,5,1,6,4,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[4,7,2,5,3,1,6,8] => [3,5,7,4,1,2,6,8] => [5,4,3,7,2,1,6,8] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[4,1,6,5,3,2,8,7] => [4,3,5,1,6,2,8,7] => [4,6,3,2,5,1,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[7,8,3,5,1,6,2,4] => [5,6,8,2,3,1,7,4] => [7,6,5,2,3,4,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[5,1,7,8,2,6,3,4] => [5,8,6,3,1,2,7,4] => [7,5,6,1,4,3,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,2,6,1,3,5,8,4] => [6,7,1,8,3,2,5,4] => [8,7,2,6,3,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,1,5,8,3,4] => [7,6,8,3,1,2,5,4] => [7,8,6,1,4,5,2,3] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[5,8,3,4,6,2,7,1] => [7,6,8,3,5,4,2,1] => [6,7,5,1,8,2,3,4] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[8,1,6,2,5,7,4,3] => [8,6,4,7,2,1,5,3] => [4,7,8,6,2,5,1,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[2,7,1,5,3,6,8,4] => [7,2,5,8,1,3,6,4] => [2,7,8,5,4,3,1,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,1,6,3,2,8,7,5] => [4,3,6,1,7,2,8,5] => [4,8,3,2,6,5,7,1] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,8,7,5,6,3] => [4,2,6,1,7,5,8,3] => [2,8,4,3,6,1,7,5] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,6,4,1,8,2] => [4,6,8,7,5,1,2,3] => [7,6,4,5,8,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,7,5,6,4,1,8,2] => [4,6,3,8,7,5,2,1] => [6,3,8,4,7,1,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[6,2,5,3,8,1,7,4] => [8,6,5,7,2,3,1,4] => [5,7,8,6,3,2,4,1] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[7,4,6,5,3,2,1,8] => [2,3,5,6,7,1,4,8] => [7,2,3,6,5,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[2,4,3,1,5,6,7,8,9,10] => [3,2,4,1,5,6,7,8,9,10] => [2,4,3,1,5,6,7,8,9,10] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[6,7,2,3,5,8,1,4] => [8,7,2,1,3,6,5,4] => [6,7,1,3,4,8,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[2,1,3,8,5,4,6,7] => [2,1,3,5,8,4,6,7] => [2,1,3,8,5,4,6,7] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,7,8,6,3,2,4,5] => [1,3,6,2,4,8,7,5] => [1,7,3,2,4,6,8,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,8,3,4,5,7,2,6] => [1,7,8,3,4,2,5,6] => [1,8,7,2,3,5,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,8,2,3,6,1] => [6,8,2,4,7,3,5,1] => [6,4,1,8,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,6,7,5,3,8,1,4] => [8,2,5,1,7,6,3,4] => [2,5,7,3,6,8,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[4,6,5,7,2,1,3,8] => [2,7,1,4,6,5,3,8] => [4,2,1,6,7,3,5,8] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[7,8,2,6,5,4,3,1] => [3,4,5,6,8,1,7,2] => [7,6,3,4,5,2,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,7,2,4,8,5,6,3] => [1,7,6,2,8,5,4,3] => [1,7,8,3,6,2,4,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,8,2,3,7,4,6,1] => [6,8,2,7,5,4,3,1] => [7,5,1,6,8,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,8,5,2,1,6,7,4] => [2,5,3,8,7,4,6,1] => [3,2,8,5,7,1,4,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,2,1,8,7,3] => [2,5,7,6,4,1,8,3] => [8,2,5,6,1,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,3,8,6,2,5] => [4,7,2,6,1,8,3,5] => [8,4,1,7,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,6,1,5,7,2] => [6,8,4,3,2,7,5,1] => [6,4,8,1,2,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,8,6,1,5,7,4,3] => [6,2,4,8,3,7,5,1] => [2,6,8,4,1,7,3,5] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,3,5,1,7,6,4,2] => [5,4,6,7,3,8,1,2] => [7,8,5,4,1,6,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,7,2,6,1,4,3,5] => [6,7,4,1,3,2,8,5] => [6,4,8,3,1,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,5,6,4,3,8,2,7] => [1,8,4,6,5,3,2,7] => [1,4,6,5,8,2,3,7] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,8,2,6,4,3,7,5] => [1,8,4,6,7,2,3,5] => [1,4,8,6,7,5,3,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,6,4,3,8,7,2,5] => [1,7,4,6,2,3,8,5] => [1,4,8,6,3,5,7,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[8,4,2,1,6,5,7,3] => [2,4,8,7,6,3,5,1] => [7,2,4,6,8,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,8,7,1,4,2,3,5] => [7,4,2,1,3,6,8,5] => [4,6,1,3,2,8,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,4,7,6,8,3,5,2] => [1,5,8,4,3,7,6,2] => [1,5,4,7,2,8,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[2,8,4,6,7,1,5,3] => [7,2,5,8,1,4,6,3] => [2,7,8,5,4,1,3,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,7,5,2,4,3,8,6] => [1,5,4,2,7,8,3,6] => [1,4,8,3,5,7,6,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,1,3,5,2,4,8,6] => [7,5,1,2,3,8,4,6] => [5,8,2,3,4,7,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[2,7,6,1,5,3,4,8] => [6,2,5,3,1,7,4,8] => [2,5,7,1,4,6,3,8] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[6,3,5,7,8,4,1,2] => [4,1,8,6,2,5,7,3] => [7,1,4,6,3,2,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,2,6,8,3,7,5,1] => [5,4,7,2,8,6,1,3] => [6,7,4,2,5,8,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[5,4,8,1,3,6,2,7] => [8,6,1,5,4,3,2,7] => [5,6,2,8,1,3,4,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[2,6,8,3,4,1,5,7] => [4,2,8,3,1,6,5,7] => [2,6,4,1,3,8,5,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[6,4,1,3,5,7,8,2] => [4,6,2,8,3,5,7,1] => [7,6,1,4,2,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,3,5,7,8,6,1,2] => [6,1,4,3,5,8,7,2] => [4,1,5,2,7,6,8,3] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[6,2,1,3,5,7,8,4] => [2,6,1,8,3,5,7,4] => [7,2,1,6,4,3,8,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[7,8,2,1,3,5,6,4] => [2,8,1,6,3,5,7,4] => [6,2,1,7,4,3,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[8,6,2,4,3,5,1,7] => [5,6,4,2,3,8,1,7] => [5,4,8,2,1,6,3,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,6,2,8,4,5,1,3] => [5,6,1,7,2,8,4,3] => [8,7,2,5,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,4,3,7,1,5] => [7,8,4,6,1,2,3,5] => [6,4,8,7,3,5,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[2,4,3,6,1,5,7,8] => [6,2,4,3,1,5,7,8] => [2,4,6,1,3,5,7,8] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[8,7,3,4,2,1,6,5] => [2,4,7,3,6,1,8,5] => [6,2,4,1,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,5,6,8,2,1,3,7] => [2,8,1,4,5,6,3,7] => [4,2,1,5,6,8,3,7] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[8,7,1,3,6,4,5,2] => [7,5,1,6,4,3,8,2] => [5,8,2,6,1,3,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[6,8,1,5,7,3,2,4] => [8,3,7,2,1,6,5,4] => [3,7,6,1,4,8,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[5,4,8,6,1,3,7,2] => [6,8,2,5,4,7,3,1] => [6,5,1,8,2,7,3,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[8,4,5,6,7,1,3,2] => [7,3,1,8,4,5,6,2] => [3,8,2,7,1,4,5,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,1,5,8,3] => [4,6,7,8,2,3,5,1] => [8,7,6,4,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,1,6,3,8,4] => [7,5,6,8,2,1,3,4] => [6,8,7,5,3,4,2,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,7,2,5,3,6,8,4] => [1,7,5,8,2,3,6,4] => [1,7,8,5,4,3,2,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,2,5,7,1,8,3,4] => [7,6,8,3,2,5,1,4] => [7,8,6,1,3,2,5,4] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[4,1,3,5,7,2,6,8] => [4,7,1,3,5,2,6,8] => [5,4,2,1,7,3,6,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,5,2,6,7,4,8,3] => [1,5,8,7,2,6,4,3] => [1,7,5,6,4,8,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[6,1,7,3,2,5,4,8] => [6,3,7,5,2,1,4,8] => [5,6,3,7,2,4,1,8] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[4,1,7,5,6,8,2,3] => [4,8,2,1,7,5,6,3] => [7,4,1,3,8,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[6,2,3,8,1,4,7,5] => [8,6,2,1,7,3,4,5] => [6,8,1,3,7,5,4,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[3,7,6,2,1,4,5,8] => [2,6,3,1,4,7,5,8] => [3,2,7,1,4,6,5,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[5,1,7,6,4,3,8,2] => [5,8,4,6,1,7,3,2] => [6,4,8,5,3,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,5,8,3,7,2,4,6] => [1,7,8,2,5,4,3,6] => [1,7,5,3,8,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,8,2,6,7,3,1,4] => [3,7,8,2,5,1,6,4] => [7,5,3,1,8,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[5,1,3,7,6,8,2,4] => [5,8,1,2,3,7,6,4] => [7,5,2,3,4,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,6,8,7,2,5,4,3] => [1,7,4,5,2,6,8,3] => [1,4,6,5,3,8,7,2] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[5,3,1,6,7,2,8,4] => [3,5,7,8,2,6,1,4] => [7,6,3,5,2,8,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[4,1,8,5,3,7,6,2] => [4,6,5,1,7,8,2,3] => [8,4,7,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,5,2,6,1,7] => [6,5,3,8,4,2,1,7] => [3,6,8,5,1,2,4,7] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,8,2,4,5,6,1,7] => [6,8,3,2,4,5,1,7] => [6,3,8,1,2,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,4,7,1,8,2,3,6] => [7,8,2,5,4,3,1,6] => [7,5,1,8,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,3,1,2,5,7,8,6] => [3,1,4,2,5,8,7,6] => [4,1,3,2,5,7,8,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[2,5,3,6,1,4,8,7] => [6,2,5,1,3,4,8,7] => [2,5,6,3,4,1,8,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[3,4,2,1,5,8,6,7] => [2,4,3,1,5,8,6,7] => [3,2,4,1,5,8,6,7] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,2,3,4,7,5,6,9,8] => [1,2,3,4,7,5,6,9,8] => [1,2,3,4,7,5,6,9,8] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[6,2,5,3,1,8,7,4] => [3,5,6,7,1,2,8,4] => [8,6,3,5,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,3,8,7,1,4] => [7,6,5,1,2,3,8,4] => [5,6,8,3,4,2,7,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[2,8,4,7,5,3,1,6] => [3,2,5,7,8,4,1,6] => [2,8,3,7,5,1,6,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,8,4,7,2,1,3] => [2,7,1,8,6,5,4,3] => [7,2,1,6,8,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[4,8,6,2,5,7,1,3] => [7,6,1,4,2,8,5,3] => [4,7,2,8,3,6,1,5] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[8,6,1,3,7,4,2,5] => [6,4,2,8,1,7,3,5] => [6,8,1,4,3,7,5,2] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[6,1,2,8,3,7,5,4] => [6,1,8,5,7,2,3,4] => [7,1,5,8,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[6,7,4,2,8,5,1,3] => [5,4,2,8,7,6,1,3] => [5,7,1,4,6,8,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[6,4,2,8,5,7,1,3] => [7,4,1,6,8,2,5,3] => [4,8,2,7,6,5,1,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,6,1,2,5,4,7,3] => [6,1,8,5,3,7,4,2] => [6,1,5,8,3,7,2,4] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,2,3,4,6,5,8,7,9] => [1,2,3,4,6,5,8,7,9] => [1,2,3,4,6,5,8,7,9] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,3,4,8,9,5,6,7] => [1,2,3,4,9,5,6,8,7] => [1,2,3,4,8,5,6,9,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[2,6,1,7,3,8,4,9,5] => [6,2,7,8,9,1,3,4,5] => [2,9,8,7,6,5,4,3,1] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,8,4,9,5,10,6] => [7,3,2,8,9,10,1,4,5,6] => [3,10,1,9,8,7,6,5,4,2] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[4,3,5,2,8,1,9,6,10,7] => [8,5,4,3,2,9,10,1,6,7] => [4,5,10,1,2,9,8,7,6,3] => [1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,3,7,2,9,1,10,8] => [9,7,6,5,4,3,2,10,1,8] => [5,6,7,10,1,2,3,9,8,4] => [1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[9,8,10,1,2,3,4,5,6,7] => [10,1,2,3,4,5,6,9,8,7] => [9,1,2,3,4,5,6,10,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[9,7,10,1,2,3,4,5,6,8] => [10,1,2,3,4,5,9,6,7,8] => [9,1,2,3,4,5,10,7,8,6] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,6,7,5,3,2,8,4] => [1,3,5,7,8,6,4,2] => [1,7,3,6,5,8,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[7,3,4,6,1,8,2,5] => [6,8,7,3,2,4,1,5] => [8,6,7,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,4,1,2,8,6,5] => [4,1,3,7,6,8,2,5] => [3,1,7,4,8,6,5,2] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[3,7,4,1,2,6,8,5] => [4,1,3,7,8,2,6,5] => [3,1,8,4,7,5,2,6] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[7,4,1,3,6,8,2,5] => [4,7,2,8,1,3,6,5] => [8,7,1,4,3,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,2,4,7,6,5] => [8,1,3,2,6,7,4,5] => [3,1,6,2,8,7,5,4] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,4,5,7,3,6,8,2] => [1,8,7,4,5,3,6,2] => [1,4,5,7,8,2,3,6] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,4,5,7,3,6,2,8] => [1,6,7,4,5,3,2,8] => [1,5,4,6,7,2,3,8] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[3,6,2,4,7,5,8,1] => [8,6,3,2,7,4,5,1] => [3,6,8,1,7,4,2,5] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[3,1,8,4,6,2,5,7] => [3,6,1,8,2,4,5,7] => [8,3,2,6,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,3,5,8,1,6] => [8,4,7,2,3,1,5,6] => [4,8,7,2,1,5,6,3] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[3,1,8,4,5,6,2,7] => [3,6,1,8,4,5,2,7] => [8,3,2,6,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,6,8,4,5,2] => [7,5,1,8,4,3,6,2] => [7,8,2,5,1,3,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,6,3,5,8,7,4,2] => [1,4,7,6,2,5,8,3] => [1,8,4,6,3,2,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,4,6,3,5,1,7,2] => [5,7,6,8,3,4,1,2] => [8,6,7,5,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,6,8,4,5,1] => [5,3,7,8,4,2,6,1] => [7,8,3,5,1,2,4,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[2,4,5,7,1,6,8,3] => [7,2,8,4,5,1,6,3] => [2,5,4,7,8,3,1,6] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,4,2,7,5,6,3,8] => [1,4,6,2,7,5,3,8] => [1,7,4,3,6,2,5,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[8,7,4,6,2,5,3,1] => [3,5,6,7,1,4,8,2] => [8,6,3,5,4,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,4,8,5,2,3] => [6,5,2,8,7,1,3,4] => [7,8,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[8,2,4,6,3,1,7,5] => [3,6,8,1,7,4,2,5] => [8,6,3,2,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,1,7,6,3,4] => [5,2,8,1,6,7,3,4] => [2,8,5,3,6,7,4,1] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,7,1,6,2,5,3] => [7,6,5,4,2,1,8,3] => [4,5,6,8,2,3,7,1] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,8,3,7,5,4,2,6] => [1,4,5,7,8,2,3,6] => [1,8,7,4,5,3,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,8,7,1,6,2,4,5] => [7,6,3,2,4,1,8,5] => [3,6,8,1,2,5,7,4] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[8,5,6,2,3,7,4,1] => [4,7,1,6,8,5,3,2] => [8,4,2,7,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,3,7,4,2,6] => [8,4,7,5,1,3,2,6] => [4,8,5,7,3,1,6,2] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,6,5,8,3,4] => [7,1,8,3,6,2,5,4] => [7,1,6,2,8,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,7,1,4,5,6,8,3] => [7,2,8,1,4,5,6,3] => [2,8,7,3,1,4,5,6] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,6,4,8,2,1] => [2,8,3,6,7,5,4,1] => [3,2,6,8,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[3,2,7,5,1,6,8,4] => [5,3,2,7,8,4,6,1] => [3,8,1,7,5,2,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,1,2,7,8,5] => [3,1,6,4,8,2,7,5] => [4,1,3,7,6,5,8,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[5,7,2,4,6,8,3,1] => [3,8,7,1,5,4,6,2] => [7,3,5,2,8,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,3,5,6,8,4,7,1] => [7,2,3,8,5,6,4,1] => [2,3,6,5,7,8,1,4] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[2,4,5,8,3,6,7,1] => [7,2,8,4,5,3,6,1] => [2,5,4,7,8,1,3,6] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[4,5,7,8,3,6,1,2] => [6,1,8,4,5,3,7,2] => [5,1,4,6,7,2,8,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[8,4,6,2,5,3,1,7] => [3,5,6,8,1,4,2,7] => [8,6,3,5,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,1,2,5,8,7] => [3,1,6,4,2,5,8,7] => [4,1,3,6,2,5,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,6,5,3,4,2,7,8] => [1,4,5,3,6,2,7,8] => [1,6,4,2,5,3,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,7,5,4,2,3,8,6] => [1,4,2,5,7,8,3,6] => [1,8,2,4,5,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,6,2,4,8,1] => [8,6,7,2,5,3,4,1] => [5,7,6,2,8,3,1,4] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[6,1,2,4,7,5,8,3] => [6,1,8,2,7,4,5,3] => [8,1,6,3,7,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,7,5,3,8,2] => [6,8,5,4,7,1,3,2] => [5,4,7,8,6,3,1,2] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[4,5,7,8,2,3,1,6] => [3,8,2,4,5,1,7,6] => [4,3,1,5,7,2,8,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[7,1,2,8,6,3,4,5] => [7,1,6,3,4,8,2,5] => [7,1,8,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,4,6,7,5,3,2] => [8,3,5,1,7,4,6,2] => [3,8,5,2,7,1,4,6] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,7,4,2,3,8] => [6,4,2,7,1,5,3,8] => [6,7,1,4,3,2,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,4,7,8,3,6,5,2] => [1,5,6,4,8,2,7,3] => [1,6,4,7,5,3,8,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,4,6,7,5,2,3,8] => [1,5,2,4,7,6,3,8] => [1,4,2,6,5,7,3,8] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[4,7,3,8,5,6,2,1] => [2,6,7,4,8,5,3,1] => [7,2,4,8,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,1,4,8,5,6,3,2] => [7,3,6,1,8,5,4,2] => [3,8,7,2,6,1,4,5] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,8,7,2,5,6,1] => [6,7,4,3,2,5,8,1] => [6,4,8,1,2,3,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[7,4,2,8,5,6,3,1] => [3,6,4,7,8,5,1,2] => [8,3,7,4,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,2,6,7,5,1] => [5,7,3,4,8,1,6,2] => [4,3,7,8,5,2,1,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[2,1,3,8,6,4,5,7] => [2,1,3,6,4,8,5,7] => [2,1,3,8,4,6,5,7] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[6,5,1,3,8,2,4,7] => [5,6,2,1,8,3,4,7] => [8,6,1,3,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,8,6,2,5,7] => [4,6,1,3,2,8,5,7] => [8,4,2,1,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,6,2,1,7,4] => [2,6,8,7,3,5,1,4] => [8,2,6,7,3,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,4,6,3,8,2] => [7,8,6,5,1,4,3,2] => [6,5,7,8,4,1,2,3] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[6,4,7,8,3,5,1,2] => [5,1,8,6,3,4,7,2] => [7,1,5,6,3,2,8,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[3,5,6,7,1,8,4,2] => [7,4,3,8,5,6,1,2] => [3,5,6,4,7,8,2,1] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[2,7,8,3,6,1,5,4] => [6,2,8,5,1,3,7,4] => [2,6,5,7,4,3,8,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,7,8,3,6,2,5,4] => [1,6,8,5,2,3,7,4] => [1,6,5,7,4,3,8,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[7,4,3,5,8,1,6,2] => [8,6,4,7,3,1,5,2] => [4,7,8,6,1,5,2,3] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[7,8,4,3,6,1,5,2] => [6,5,4,8,1,3,7,2] => [5,6,7,4,3,1,8,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[7,1,6,4,3,8,5,2] => [7,5,4,8,6,1,2,3] => [5,6,8,4,7,3,2,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[8,7,3,4,1,5,2,6] => [4,5,7,3,1,2,8,6] => [8,5,4,1,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,4,3,8,5,1] => [5,8,4,7,6,3,1,2] => [6,4,8,5,7,1,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,6,4,8,5,2,3,7] => [1,5,2,8,6,3,4,7] => [1,8,2,5,6,4,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,8,4,5,1,7] => [5,2,6,8,4,3,1,7] => [2,8,6,5,1,3,4,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,2,5,8,1] => [8,4,6,7,3,2,5,1] => [4,8,7,6,1,3,2,5] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[5,8,6,4,2,7,1,3] => [7,4,1,6,5,8,2,3] => [4,7,2,5,8,6,3,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[7,1,5,3,8,2,4,6] => [7,8,5,2,1,4,3,6] => [7,5,8,2,4,1,6,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,6,4,5,2,8,3,7] => [1,5,8,6,4,2,3,7] => [1,8,5,6,2,4,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,6,1,5,8] => [6,7,2,3,1,4,5,8] => [7,6,1,2,4,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[4,5,1,6,3,8,7,2] => [5,7,6,4,1,3,8,2] => [6,4,5,8,3,1,7,2] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[3,7,5,2,8,1,6,4] => [8,5,3,7,6,1,4,2] => [3,5,8,6,7,4,1,2] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[4,6,7,1,3,8,2,5] => [7,8,1,4,2,6,3,5] => [6,4,2,7,3,8,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[8,5,3,2,7,4,6,1] => [6,3,5,8,7,2,4,1] => [3,8,7,5,6,2,1,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[4,8,7,1,5,6,2,3] => [7,6,2,4,1,5,8,3] => [4,6,1,8,3,2,7,5] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[7,4,3,6,8,5,2,1] => [2,5,4,8,7,1,6,3] => [5,2,8,4,7,3,1,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,2,6,8,5,3,4,1] => [4,7,5,3,8,2,6,1] => [8,4,7,1,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,6,5,3,4,1] => [4,8,5,3,6,2,7,1] => [7,4,5,1,6,2,8,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[2,6,7,8,3,5,4,1] => [4,2,5,8,1,6,7,3] => [2,6,5,4,3,7,8,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[8,6,4,5,1,3,7,2] => [5,7,1,6,4,8,3,2] => [8,5,2,7,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,5,3,6,1,2] => [6,1,5,8,7,4,3,2] => [7,1,8,5,6,2,3,4] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,4,6,5,1,3,7,2] => [5,6,2,7,8,1,3,4] => [8,7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,2,4,3,1,6] => [3,4,8,1,7,2,5,6] => [7,4,3,2,8,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,3,7,8,1,4,6,5] => [8,2,3,1,6,4,7,5] => [2,3,6,1,7,5,8,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[6,5,2,4,1,8,3,7] => [4,5,6,3,8,1,2,7] => [8,6,4,1,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,4,1,8,3,7] => [4,5,6,8,3,2,1,7] => [8,6,5,4,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,3,5,8,1,7] => [8,4,6,2,3,5,1,7] => [4,8,6,2,1,3,5,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[8,4,1,2,3,7,6,5] => [4,1,2,8,6,7,3,5] => [6,1,2,4,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,6,2,5,7,4,8,3] => [1,6,8,7,2,5,4,3] => [1,8,6,7,4,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,2,8,4,6,1] => [6,5,3,7,8,2,4,1] => [3,7,8,6,5,2,1,4] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,7,2,5,6,4,8,3] => [1,7,8,6,2,5,4,3] => [1,7,6,8,4,2,3,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[7,4,2,6,8,5,3,1] => [3,5,4,8,7,2,6,1] => [8,3,5,4,7,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,4,6,3,1,7] => [3,6,5,1,8,4,2,7] => [8,3,6,2,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,8,5,2,3,7] => [4,6,1,5,8,2,3,7] => [8,4,2,6,5,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,8,5,1,2,7] => [5,1,8,2,6,4,3,7] => [8,1,5,3,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,2,7,4,6,3] => [5,1,8,6,7,2,3,4] => [8,1,5,7,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,8,3,4,5,1] => [5,7,8,3,4,2,6,1] => [8,7,5,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,5,4,8,2,3] => [1,8,2,5,7,6,4,3] => [1,5,2,7,6,8,3,4] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[3,5,8,4,6,2,7,1] => [7,6,3,8,5,4,2,1] => [3,6,7,5,8,1,2,4] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[3,5,8,4,2,7,6,1] => [6,4,3,7,5,8,1,2] => [3,5,7,4,8,6,2,1] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[7,4,6,2,5,3,8,1] => [8,6,5,7,2,4,3,1] => [5,7,8,6,3,1,2,4] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,8,5,4,2,6,3,7] => [1,4,5,8,6,2,3,7] => [1,8,5,4,6,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,7,4,8,1,2] => [8,1,3,7,5,6,4,2] => [3,1,5,6,7,8,2,4] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[2,3,8,5,4,6,1,7] => [6,2,3,5,8,4,1,7] => [2,3,6,8,5,1,4,7] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,3,2,4,5,6,9,7,8] => [1,3,2,4,5,6,9,7,8] => [1,3,2,4,5,6,9,7,8] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[6,8,7,1,2,5,4,3] => [7,1,4,5,2,6,8,3] => [4,1,6,5,3,8,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[4,7,2,5,6,1,3,8] => [6,7,1,4,2,5,3,8] => [6,4,2,7,3,1,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[8,3,5,4,1,2,6,7] => [4,1,5,8,2,3,6,7] => [8,1,5,4,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,7,6,2,4,8] => [3,5,6,1,2,7,4,8] => [7,5,3,2,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,1,6,2,4,3,8] => [5,7,4,1,6,2,3,8] => [5,4,7,3,6,2,1,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,4,5,7,6,8,2,3] => [1,8,2,4,5,7,6,3] => [1,4,2,5,7,8,3,6] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[2,6,3,1,7,8,5,4] => [3,2,6,5,8,1,7,4] => [2,6,3,7,5,4,8,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[3,6,1,8,7,4,5,2] => [6,5,3,7,4,1,8,2] => [3,6,8,5,1,4,7,2] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[4,1,3,5,7,6,8,2] => [4,8,1,3,5,7,6,2] => [5,4,2,1,7,8,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[5,7,6,1,4,2,3,8] => [6,4,2,1,5,7,3,8] => [4,5,1,3,7,6,2,8] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[4,8,7,5,2,1,6,3] => [2,5,7,4,6,3,8,1] => [5,2,4,8,6,1,7,3] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[6,5,1,4,7,2,8,3] => [5,6,7,2,8,4,3,1] => [8,7,6,2,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,2,5,8,4,3] => [7,6,4,8,2,1,5,3] => [6,7,8,4,2,5,1,3] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[8,5,1,3,4,6,2,7] => [5,8,2,3,6,4,1,7] => [8,5,1,2,6,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,4,6,2,1,8] => [2,6,5,7,3,4,1,8] => [6,2,7,5,3,1,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,7,3,5,4,2,6,8] => [1,4,5,7,2,3,6,8] => [1,7,5,4,3,2,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[7,3,5,4,1,6,8,2] => [4,5,8,7,1,2,6,3] => [8,7,4,5,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,7,6,8,2,4] => [3,5,8,1,2,7,6,4] => [7,5,3,2,4,8,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[7,1,5,3,2,4,8,6] => [7,3,5,2,1,8,4,6] => [3,8,5,1,4,7,6,2] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,2,5,4,7,8] => [1,6,3,5,2,4,7,8] => [1,3,5,6,4,2,7,8] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[8,6,2,3,7,4,5,1] => [5,6,2,8,3,7,4,1] => [8,6,1,5,3,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,5,3,2,8,4] => [7,3,5,8,1,6,2,4] => [3,7,6,5,4,8,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[8,4,2,5,3,6,1,7] => [6,4,8,5,3,2,1,7] => [5,8,4,6,1,2,3,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,3,4,1,7,6,2,5] => [4,6,7,2,3,8,1,5] => [8,7,4,2,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,1,5,2,3,7] => [6,5,2,4,1,8,3,7] => [4,5,1,8,3,6,2,7] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[3,1,4,8,5,7,6,2] => [3,6,1,4,7,8,2,5] => [4,3,2,8,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[7,4,1,8,2,6,5,3] => [4,7,8,5,6,3,2,1] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,8,4,3,5,6] => [7,1,4,8,3,5,2,6] => [7,1,8,4,2,3,6,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[3,6,2,5,4,8,7,1] => [7,6,3,5,2,4,8,1] => [3,5,6,8,2,1,7,4] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[7,3,6,2,1,4,8,5] => [2,6,7,1,8,3,4,5] => [8,2,7,3,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,2,1,8,4] => [2,6,7,8,5,3,1,4] => [7,2,6,5,8,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[2,1,5,4,7,8,3,6] => [2,1,8,5,4,3,7,6] => [2,1,5,7,3,4,8,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[7,5,8,2,3,6,1,4] => [6,8,2,1,7,3,5,4] => [8,6,1,3,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,8,3,6,7,2] => [1,7,8,5,4,3,6,2] => [1,7,5,8,2,3,4,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,8,3,6,2,4,7,5] => [1,6,8,2,7,3,4,5] => [1,8,6,3,7,5,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,8,2,1,5,4,3,7] => [2,8,4,5,1,6,3,7] => [4,2,6,5,3,8,1,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,3,7,2,6,5,4,8] => [1,7,3,5,6,2,4,8] => [1,3,5,7,6,4,2,8] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[7,5,6,3,2,8,1,4] => [8,3,6,1,7,5,2,4] => [3,8,6,2,7,1,5,4] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,6,3,4,8] => [5,1,7,2,6,3,4,8] => [7,1,5,3,6,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,1,4,6,3,8,2] => [5,7,8,2,6,4,1,3] => [8,6,5,2,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,1,2,6,3,8] => [4,1,5,7,6,2,3,8] => [7,1,5,4,6,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[7,5,1,4,2,8,3,6] => [5,4,7,3,8,1,2,6] => [7,8,4,1,5,3,6,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[7,5,2,1,4,8,3,6] => [2,5,7,3,8,1,4,6] => [8,2,7,1,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,6,8,4,3,5] => [7,1,4,8,3,2,6,5] => [7,1,8,4,2,5,3,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,5,1,2,6,7,4,3] => [5,1,4,8,7,3,6,2] => [5,1,8,4,7,2,3,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[6,3,2,1,5,8,4,7] => [2,3,6,8,1,5,4,7] => [8,2,3,6,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,6,2,8,1,7] => [8,6,4,3,5,2,1,7] => [4,5,6,1,8,2,3,7] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[7,4,1,2,5,6,8,3] => [4,1,7,8,3,5,6,2] => [8,1,7,4,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,6,7,1,5,3] => [7,8,5,4,1,2,6,3] => [5,4,7,8,3,2,1,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[6,5,8,3,7,1,4,2] => [7,4,8,1,6,5,3,2] => [6,7,4,3,8,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[4,8,6,5,3,7,1,2] => [7,1,5,4,6,8,3,2] => [4,1,5,8,7,6,2,3] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[4,7,5,8,6,2,3,1] => [3,6,2,4,8,7,1,5] => [4,3,1,8,6,7,5,2] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[2,7,5,6,1,8,3,4] => [6,2,8,3,7,5,1,4] => [2,8,6,1,7,3,5,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,3,8,4,7,2] => [6,7,1,8,5,3,4,2] => [7,6,2,5,8,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[3,6,8,5,2,4,1,7] => [4,5,3,2,8,6,1,7] => [4,3,6,1,5,8,2,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,6,2,8,5,7,4,3] => [1,6,4,7,8,2,5,3] => [1,7,8,4,6,5,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,8,4,7,2,5,6,3] => [1,7,6,8,2,5,4,3] => [1,7,8,6,4,2,3,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[6,8,4,5,7,3,1,2] => [3,1,7,8,4,6,5,2] => [7,1,3,6,2,8,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[8,5,2,6,3,1,4,7] => [3,6,5,2,8,1,4,7] => [8,3,6,1,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,8,5,1,2,6] => [5,1,8,2,7,3,4,6] => [8,1,5,3,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,1,3,5,2,6] => [8,5,1,7,3,2,4,6] => [5,8,2,7,3,4,6,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,1,8,3,5] => [4,6,7,3,2,8,1,5] => [8,7,4,1,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,4,1,2,7,5] => [4,1,6,8,7,2,3,5] => [8,1,6,4,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,4,6,1,7,3] => [6,8,7,5,2,4,1,3] => [7,5,6,8,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[8,2,5,6,1,7,3,4] => [6,8,7,3,2,5,1,4] => [8,6,7,1,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,1,2,4,3] => [5,1,4,2,8,7,6,3] => [4,1,7,3,5,8,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[7,2,5,1,8,4,6,3] => [5,7,6,8,2,4,1,3] => [8,6,7,5,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,1,6,3,7,2] => [5,7,6,8,4,1,3,2] => [8,6,7,5,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,5,2,6,3,4] => [7,5,8,2,6,3,1,4] => [6,8,5,2,7,3,4,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,7,4,2,3,8,6,5] => [1,4,2,7,6,8,3,5] => [1,7,2,4,8,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[2,8,4,3,7,1,6,5] => [7,2,4,8,6,1,3,5] => [2,6,7,4,8,5,3,1] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,5,2,4,7,6,8,3] => [1,5,8,2,4,7,6,3] => [1,7,5,3,2,8,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[3,4,2,6,8,1,7,5] => [8,4,3,2,7,6,1,5] => [3,4,6,1,7,8,5,2] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[4,8,6,2,7,5,1,3] => [5,7,2,4,6,8,1,3] => [5,4,1,8,7,6,3,2] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,7,5,3,2,6,8,4] => [1,3,5,7,8,4,6,2] => [1,8,3,7,5,2,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,8,4,7,3,5] => [2,6,7,8,3,1,4,5] => [8,2,7,6,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,7,3,5,4,8] => [1,2,7,5,3,6,4,8] => [1,2,5,6,4,7,3,8] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[8,1,2,4,6,3,5,7] => [8,1,6,2,3,4,5,7] => [6,1,8,3,4,5,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[5,6,3,8,1,7,4,2] => [8,4,7,6,5,2,1,3] => [4,7,5,6,8,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[5,8,3,7,1,2,6,4] => [7,1,8,6,5,2,3,4] => [6,1,5,7,8,4,3,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[8,5,2,1,7,3,6,4] => [2,5,8,7,6,4,3,1] => [8,2,5,6,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,4,1,7,2,8,6] => [4,5,3,7,2,8,1,6] => [5,3,8,4,1,7,6,2] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,3,8,6,7,4,5,2] => [1,5,3,7,4,8,6,2] => [1,3,8,5,2,7,4,6] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,3,7,1,8,4] => [7,2,5,6,8,4,1,3] => [2,6,8,7,5,1,4,3] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[8,2,5,4,1,7,3,6] => [4,5,8,7,3,1,2,6] => [8,7,4,5,1,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,5,3,1,4,6] => [3,5,7,1,8,4,2,6] => [8,7,3,2,5,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,5,8,7,3] => [4,6,7,1,2,5,8,3] => [8,6,4,3,2,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,1,5,2,7,3] => [6,5,7,8,1,4,2,3] => [7,8,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[6,2,3,8,1,5,4,7] => [8,6,2,5,1,3,4,7] => [5,6,1,8,4,3,2,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[2,4,1,5,6,8,7,3] => [4,2,7,1,5,6,8,3] => [2,5,4,3,6,8,7,1] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[6,5,1,7,2,8,3,9,4] => [5,6,7,8,9,2,3,4,1] => [9,8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[5,7,3,4,2,8,6,1] => [6,4,8,1,5,7,2,3] => [5,6,4,3,8,7,2,1] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[3,7,4,2,6,8,5,1] => [5,4,3,8,7,1,6,2] => [3,5,8,4,7,2,1,6] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[6,4,8,7,3,2,5,1] => [5,3,7,6,2,4,8,1] => [5,8,3,6,2,1,7,4] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,6,2,8,7,4,3,1] => [3,4,7,6,5,2,8,1] => [6,4,3,5,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[3,7,5,6,4,2,8,1] => [8,4,3,6,7,5,2,1] => [3,4,8,6,7,1,2,5] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,4,3,8,5,6,2,7] => [1,6,4,3,8,5,2,7] => [1,4,8,2,6,3,5,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,8,2,6,4,3,5,1] => [5,8,4,6,3,2,7,1] => [6,4,7,5,1,2,8,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[4,5,8,7,2,3,6,1] => [6,7,2,4,5,3,8,1] => [5,4,1,6,8,2,7,3] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[8,3,6,4,7,2,1,5] => [2,7,8,6,1,3,4,5] => [7,2,6,8,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[7,6,2,5,8,3,4,1] => [4,6,7,2,3,8,5,1] => [8,7,4,2,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,7,2,4,3,6] => [5,7,4,2,1,3,8,6] => [5,4,8,2,3,1,7,6] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[5,8,1,3,6,7,4,2] => [8,4,1,7,5,3,6,2] => [4,7,2,5,8,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[3,6,8,1,5,2,7,4] => [8,5,3,7,1,6,2,4] => [3,5,7,6,4,8,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[7,3,6,8,1,5,2,4] => [8,5,7,2,1,3,6,4] => [5,8,7,2,4,3,1,6] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,4,2,7,8] => [5,4,1,6,3,2,7,8] => [5,6,2,4,1,3,7,8] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[3,8,5,1,4,6,2,7] => [5,8,3,2,6,4,1,7] => [5,3,8,1,6,2,4,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[7,8,5,1,2,6,3,4] => [5,1,8,2,6,3,7,4] => [7,1,5,3,6,4,8,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[6,4,5,1,8,7,3,2] => [5,3,7,6,4,1,8,2] => [5,8,3,6,1,4,7,2] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[8,6,2,1,7,3,5,4] => [2,6,8,5,1,7,3,4] => [6,2,5,8,4,7,3,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[7,2,8,4,6,5,3,1] => [3,5,6,7,8,2,4,1] => [8,7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,4,5,7,2,6] => [3,7,1,8,4,2,5,6] => [8,3,2,7,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,3,6,1,2,5] => [6,1,4,8,2,3,7,5] => [6,1,7,4,3,5,8,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[8,4,3,5,1,6,7,2] => [5,7,4,8,3,1,6,2] => [7,5,8,4,1,3,2,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[5,4,8,3,7,6,2,1] => [2,6,7,5,4,8,1,3] => [7,2,5,8,1,6,4,3] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[4,5,2,8,1,3,6,7] => [8,5,1,4,2,3,6,7] => [4,5,2,8,3,1,6,7] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,2,3,4,8,6,5,7,9] => [1,2,3,4,6,8,5,7,9] => [1,2,3,4,8,6,5,7,9] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[8,2,6,5,1,7,4,3] => [5,6,4,8,7,3,2,1] => [7,5,8,4,6,1,2,3] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[8,1,5,4,2,6,7,3] => [8,4,5,7,1,3,6,2] => [4,8,7,5,3,1,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,8,5,3,2] => [4,3,7,5,8,2,6,1] => [4,8,3,7,5,1,2,6] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,2,8,1,4] => [8,7,5,1,6,3,2,4] => [5,6,8,3,7,2,4,1] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[6,2,8,7,3,5,1,4] => [5,6,7,1,3,2,8,4] => [8,6,5,3,2,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,5,7,6,4,1] => [4,6,3,7,2,8,5,1] => [7,3,8,4,1,6,2,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[6,5,8,3,2,4,7,1] => [7,3,8,2,6,5,4,1] => [6,7,3,1,8,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[3,2,7,8,4,5,6,1] => [6,3,2,8,4,5,7,1] => [3,7,1,6,2,4,8,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,1,8,3,7,6,2] => [4,5,6,7,2,8,3,1] => [8,7,5,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,9,10,6,7,8] => [1,2,3,4,5,10,6,7,9,8] => [1,2,3,4,5,9,6,7,10,8] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[2,8,3,4,5,7,1,6] => [7,2,8,3,4,1,5,6] => [2,8,7,1,3,5,6,4] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,8,2,5,4,3] => [1,8,4,5,2,7,6,3] => [1,4,7,5,3,8,2,6] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[4,6,5,7,1,8,2,3] => [7,8,2,4,6,5,1,3] => [6,4,1,7,8,2,5,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[7,2,5,6,4,8,3,1] => [3,8,7,6,1,5,4,2] => [7,3,6,8,4,1,2,5] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[5,3,4,7,6,8,2,1] => [2,8,5,3,4,7,6,1] => [5,2,7,1,3,8,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[5,3,4,8,2,1,7,6] => [2,8,5,3,4,7,1,6] => [5,2,7,1,3,8,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[6,3,7,5,4,1,2,8] => [4,1,5,7,6,3,2,8] => [7,1,5,4,6,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,6,3,4,2,5,8,7] => [1,4,6,3,2,5,8,7] => [1,6,4,2,3,5,8,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,5,7,6,2,3,8,4] => [1,6,2,7,5,8,4,3] => [1,7,2,5,8,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,5,3,4,7,2,8,6] => [1,7,5,3,4,8,2,6] => [1,5,8,2,3,7,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[6,1,5,4,7,8,2,3] => [6,8,2,5,1,4,7,3] => [6,5,1,7,4,2,8,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[6,4,2,1,3,5,8,7,9] => [2,4,1,6,3,5,8,7,9] => [6,2,1,4,3,5,8,7,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[9,8,6,4,2,1,3,5,7] => [2,4,1,6,3,8,5,9,7] => [9,2,1,4,3,6,5,8,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[4,8,3,1,7,6,2,5] => [3,8,6,4,1,7,2,5] => [6,3,4,8,2,7,5,1] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[2,6,7,5,3,4,1,8] => [4,2,5,3,7,6,1,8] => [2,6,4,1,5,7,3,8] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[2,4,1,7,5,6,8,3] => [4,2,8,1,7,5,6,3] => [2,7,4,3,8,1,5,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,2,6,1,7,5,4,8] => [6,3,2,5,7,1,4,8] => [3,6,1,7,5,4,2,8] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[5,6,1,4,3,8,7,2] => [6,7,4,1,5,3,8,2] => [5,4,6,3,8,1,7,2] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[5,8,6,4,3,1,7,2] => [3,4,6,8,5,7,2,1] => [6,5,3,4,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[4,1,7,5,3,8,2,6] => [4,8,5,1,7,2,3,6] => [8,4,5,3,7,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,1,8,7,3,2] => [5,3,6,4,7,2,8,1] => [4,6,3,8,5,1,7,2] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
Corteel
Description
Corteel's map interchanging the number of crossings and the number of nestings of a permutation.
This involution creates a labelled bicoloured Motzkin path, using the Foata-Zeilberger map. In the corresponding bump diagram, each label records the number of arcs nesting the given arc. Then each label is replaced by its complement, and the inverse of the Foata-Zeilberger map is applied.
This involution creates a labelled bicoloured Motzkin path, using the Foata-Zeilberger map. In the corresponding bump diagram, each label records the number of arcs nesting the given arc. Then each label is replaced by its complement, and the inverse of the Foata-Zeilberger map is applied.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
searching the database
Sorry, this map was not found in the database.