Identifier
Mp00023:
Dyck paths
—to non-crossing permutation⟶
Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Images
[1,0] => [1] => [1]
[1,0,1,0] => [1,2] => [2,1]
[1,1,0,0] => [2,1] => [1,2]
[1,0,1,0,1,0] => [1,2,3] => [2,3,1]
[1,0,1,1,0,0] => [1,3,2] => [3,2,1]
[1,1,0,0,1,0] => [2,1,3] => [1,3,2]
[1,1,0,1,0,0] => [2,3,1] => [1,2,3]
[1,1,1,0,0,0] => [3,2,1] => [2,1,3]
[1,0,1,0,1,0,1,0] => [1,2,3,4] => [2,3,4,1]
[1,0,1,0,1,1,0,0] => [1,2,4,3] => [2,4,3,1]
[1,0,1,1,0,0,1,0] => [1,3,2,4] => [3,2,4,1]
[1,0,1,1,0,1,0,0] => [1,3,4,2] => [4,2,3,1]
[1,0,1,1,1,0,0,0] => [1,4,3,2] => [4,3,2,1]
[1,1,0,0,1,0,1,0] => [2,1,3,4] => [1,3,4,2]
[1,1,0,0,1,1,0,0] => [2,1,4,3] => [1,4,3,2]
[1,1,0,1,0,0,1,0] => [2,3,1,4] => [1,2,4,3]
[1,1,0,1,0,1,0,0] => [2,3,4,1] => [1,2,3,4]
[1,1,0,1,1,0,0,0] => [2,4,3,1] => [1,3,2,4]
[1,1,1,0,0,0,1,0] => [3,2,1,4] => [2,1,4,3]
[1,1,1,0,0,1,0,0] => [3,2,4,1] => [2,1,3,4]
[1,1,1,0,1,0,0,0] => [4,2,3,1] => [2,3,1,4]
[1,1,1,1,0,0,0,0] => [4,3,2,1] => [3,2,1,4]
[1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => [2,3,4,5,1]
[1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => [2,3,5,4,1]
[1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => [2,4,3,5,1]
[1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => [2,5,3,4,1]
[1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => [2,5,4,3,1]
[1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => [3,2,4,5,1]
[1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => [3,2,5,4,1]
[1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => [4,2,3,5,1]
[1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => [5,2,3,4,1]
[1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => [5,2,4,3,1]
[1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => [4,3,2,5,1]
[1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => [5,3,2,4,1]
[1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => [5,3,4,2,1]
[1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => [5,4,3,2,1]
[1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => [1,3,4,5,2]
[1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => [1,3,5,4,2]
[1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => [1,4,3,5,2]
[1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => [1,5,3,4,2]
[1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => [1,5,4,3,2]
[1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => [1,2,4,5,3]
[1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => [1,2,5,4,3]
[1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => [1,2,3,5,4]
[1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => [1,2,3,4,5]
[1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => [1,2,4,3,5]
[1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => [1,3,2,5,4]
[1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => [1,3,2,4,5]
[1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => [1,3,4,2,5]
[1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => [1,4,3,2,5]
[1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => [2,1,4,5,3]
[1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => [2,1,5,4,3]
[1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => [2,1,3,5,4]
[1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => [2,1,3,4,5]
[1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => [2,1,4,3,5]
[1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => [2,3,1,5,4]
[1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => [2,3,1,4,5]
[1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => [2,3,4,1,5]
[1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => [2,4,3,1,5]
[1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => [3,2,1,5,4]
[1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => [3,2,1,4,5]
[1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => [3,2,4,1,5]
[1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => [4,2,3,1,5]
[1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => [4,3,2,1,5]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => [2,3,4,5,6,1]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => [2,3,4,6,5,1]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => [2,3,5,4,6,1]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => [2,3,6,4,5,1]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => [2,3,6,5,4,1]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => [2,4,3,5,6,1]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => [2,4,3,6,5,1]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => [2,5,3,4,6,1]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => [2,6,3,4,5,1]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => [2,6,3,5,4,1]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => [2,5,4,3,6,1]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => [2,6,4,3,5,1]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,6,4,5,3] => [2,6,4,5,3,1]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => [2,6,5,4,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => [3,2,4,5,6,1]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => [3,2,4,6,5,1]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => [3,2,5,4,6,1]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => [3,2,6,4,5,1]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => [3,2,6,5,4,1]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => [4,2,3,5,6,1]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => [4,2,3,6,5,1]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => [5,2,3,4,6,1]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => [6,2,3,4,5,1]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => [6,2,3,5,4,1]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => [5,2,4,3,6,1]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => [6,2,4,3,5,1]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,6,4,5,2] => [6,2,4,5,3,1]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => [6,2,5,4,3,1]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => [4,3,2,5,6,1]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => [4,3,2,6,5,1]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => [5,3,2,4,6,1]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => [6,3,2,4,5,1]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => [6,3,2,5,4,1]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,5,3,4,2,6] => [5,3,4,2,6,1]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => [6,3,4,2,5,1]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,6,3,4,5,2] => [6,3,4,5,2,1]
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,6,3,5,4,2] => [6,3,5,4,2,1]
>>> Load all 2883 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => [5,4,3,2,6,1]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => [6,4,3,2,5,1]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,6,4,3,5,2] => [6,4,3,5,2,1]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,6,4,5,3,2] => [6,5,3,4,2,1]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => [6,5,4,3,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => [1,3,4,5,6,2]
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => [1,3,4,6,5,2]
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => [1,3,5,4,6,2]
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => [1,3,6,4,5,2]
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => [1,3,6,5,4,2]
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => [1,4,3,5,6,2]
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => [1,4,3,6,5,2]
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => [1,5,3,4,6,2]
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => [1,6,3,4,5,2]
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => [1,6,3,5,4,2]
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => [1,5,4,3,6,2]
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => [1,6,4,3,5,2]
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,6,4,5,3] => [1,6,4,5,3,2]
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => [1,6,5,4,3,2]
[1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => [1,2,4,5,6,3]
[1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => [1,2,4,6,5,3]
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => [1,2,5,4,6,3]
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => [1,2,6,4,5,3]
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => [1,2,6,5,4,3]
[1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => [1,2,3,5,6,4]
[1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => [1,2,3,6,5,4]
[1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => [1,2,3,4,6,5]
[1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => [1,2,3,4,5,6]
[1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => [1,2,3,5,4,6]
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => [1,2,4,3,6,5]
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => [1,2,4,3,5,6]
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => [1,2,4,5,3,6]
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => [1,2,5,4,3,6]
[1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => [1,3,2,5,6,4]
[1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => [1,3,2,6,5,4]
[1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => [1,3,2,4,6,5]
[1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => [1,3,2,4,5,6]
[1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => [1,3,2,5,4,6]
[1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => [1,3,4,2,6,5]
[1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => [1,3,4,2,5,6]
[1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => [1,3,4,5,2,6]
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => [1,3,5,4,2,6]
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => [1,4,3,2,6,5]
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => [1,4,3,2,5,6]
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => [1,4,3,5,2,6]
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => [1,5,3,4,2,6]
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => [1,5,4,3,2,6]
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => [2,1,4,5,6,3]
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => [2,1,4,6,5,3]
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => [2,1,5,4,6,3]
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => [2,1,6,4,5,3]
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => [2,1,6,5,4,3]
[1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => [2,1,3,5,6,4]
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => [2,1,3,6,5,4]
[1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => [2,1,3,4,6,5]
[1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => [2,1,3,4,5,6]
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => [2,1,3,5,4,6]
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => [2,1,4,3,6,5]
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => [2,1,4,3,5,6]
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => [2,1,4,5,3,6]
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => [2,1,5,4,3,6]
[1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => [2,3,1,5,6,4]
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => [2,3,1,6,5,4]
[1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => [2,3,1,4,6,5]
[1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => [2,3,1,4,5,6]
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => [2,3,1,5,4,6]
[1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => [2,3,4,1,6,5]
[1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => [2,3,4,1,5,6]
[1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => [2,3,4,5,1,6]
[1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => [2,3,5,4,1,6]
[1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => [2,4,3,1,6,5]
[1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => [2,4,3,1,5,6]
[1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => [2,4,3,5,1,6]
[1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => [2,5,3,4,1,6]
[1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => [2,5,4,3,1,6]
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => [3,2,1,5,6,4]
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => [3,2,1,6,5,4]
[1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => [3,2,1,4,6,5]
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => [3,2,1,4,5,6]
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => [3,2,1,5,4,6]
[1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => [3,2,4,1,6,5]
[1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => [3,2,4,1,5,6]
[1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => [3,2,4,5,1,6]
[1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => [3,2,5,4,1,6]
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => [4,2,3,1,6,5]
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => [4,2,3,1,5,6]
[1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => [4,2,3,5,1,6]
[1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => [5,2,3,4,1,6]
[1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => [5,2,4,3,1,6]
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => [4,3,2,1,6,5]
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => [4,3,2,1,5,6]
[1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => [4,3,2,5,1,6]
[1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => [5,3,2,4,1,6]
[1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => [5,3,4,2,1,6]
[1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => [5,4,3,2,1,6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,5,6,7,4] => [2,3,7,4,5,6,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,5,7,6,4] => [2,3,7,4,6,5,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,5,7,4] => [2,3,7,5,4,6,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,7,5,6,4] => [2,3,7,5,6,4,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,7,6,5,4] => [2,3,7,6,5,4,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,3,6,7,5] => [2,4,3,7,5,6,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,7,6,5] => [2,4,3,7,6,5,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,4,5,3,7,6] => [2,5,3,4,7,6,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,3,7] => [2,6,3,4,5,7,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,3] => [2,7,3,4,5,6,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,4,5,7,6,3] => [2,7,3,4,6,5,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,6,5,3,7] => [2,6,3,5,4,7,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,4,6,5,7,3] => [2,7,3,5,4,6,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,4,7,5,6,3] => [2,7,3,5,6,4,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,4,7,6,5,3] => [2,7,3,6,5,4,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,5,4,3,7,6] => [2,5,4,3,7,6,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,5,4,6,3,7] => [2,6,4,3,5,7,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5,4,6,7,3] => [2,7,4,3,5,6,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5,4,7,6,3] => [2,7,4,3,6,5,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,6,4,5,3,7] => [2,6,4,5,3,7,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,6,4,5,7,3] => [2,7,4,5,3,6,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,7,4,5,6,3] => [2,7,4,5,6,3,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,7,4,6,5,3] => [2,7,4,6,5,3,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,6,5,4,3,7] => [2,6,5,4,3,7,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,5,4,7,3] => [2,7,5,4,3,6,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,7,5,4,6,3] => [2,7,5,4,6,3,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,7,5,6,4,3] => [2,7,6,4,5,3,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,6,5,4,3] => [2,7,6,5,4,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,2,4,6,7,5] => [3,2,4,7,5,6,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,4,7,6,5] => [3,2,4,7,6,5,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6] => [3,2,5,4,7,6,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,6,4,7] => [3,2,6,4,5,7,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,6,7,4] => [3,2,7,4,5,6,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,6,4] => [3,2,7,4,6,5,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,6,5,4,7] => [3,2,6,5,4,7,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,5,7,4] => [3,2,7,5,4,6,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,7,5,6,4] => [3,2,7,5,6,4,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,7,6,5,4] => [3,2,7,6,5,4,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5,7,6] => [4,2,3,5,7,6,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,7] => [4,2,3,6,5,7,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,2,6,7,5] => [4,2,3,7,5,6,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,2,7,6,5] => [4,2,3,7,6,5,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,2,6,7] => [5,2,3,4,6,7,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6] => [5,2,3,4,7,6,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,2,7] => [6,2,3,4,5,7,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,2] => [7,2,3,4,5,6,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,7,6,2] => [7,2,3,4,6,5,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,6,5,2,7] => [6,2,3,5,4,7,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,6,5,7,2] => [7,2,3,5,4,6,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,7,5,6,2] => [7,2,3,5,6,4,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,7,6,5,2] => [7,2,3,6,5,4,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,4,2,6,7] => [5,2,4,3,6,7,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,4,2,7,6] => [5,2,4,3,7,6,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,4,6,2,7] => [6,2,4,3,5,7,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,4,6,7,2] => [7,2,4,3,5,6,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,4,7,6,2] => [7,2,4,3,6,5,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,6,4,5,2,7] => [6,2,4,5,3,7,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,6,4,5,7,2] => [7,2,4,5,3,6,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,7,4,5,6,2] => [7,2,4,5,6,3,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,7,4,6,5,2] => [7,2,4,6,5,3,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,6,5,4,2,7] => [6,2,5,4,3,7,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6,5,4,7,2] => [7,2,5,4,3,6,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,7,5,4,6,2] => [7,2,5,4,6,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,7,5,6,4,2] => [7,2,6,4,5,3,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => [7,2,6,5,4,3,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,4,3,2,5,7,6] => [4,3,2,5,7,6,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,4,3,2,6,5,7] => [4,3,2,6,5,7,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3,2,6,7,5] => [4,3,2,7,5,6,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3,2,7,6,5] => [4,3,2,7,6,5,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,3,5,2,6,7] => [5,3,2,4,6,7,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,3,5,2,7,6] => [5,3,2,4,7,6,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,3,5,6,2,7] => [6,3,2,4,5,7,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,2] => [7,3,2,4,5,6,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,3,5,7,6,2] => [7,3,2,4,6,5,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,3,6,5,2,7] => [6,3,2,5,4,7,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,3,6,5,7,2] => [7,3,2,5,4,6,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,3,7,5,6,2] => [7,3,2,5,6,4,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,3,7,6,5,2] => [7,3,2,6,5,4,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,5,3,4,2,6,7] => [5,3,4,2,6,7,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,5,3,4,2,7,6] => [5,3,4,2,7,6,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,5,3,4,6,2,7] => [6,3,4,2,5,7,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,5,3,4,6,7,2] => [7,3,4,2,5,6,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,5,3,4,7,6,2] => [7,3,4,2,6,5,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,6,3,4,5,2,7] => [6,3,4,5,2,7,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,6,3,4,5,7,2] => [7,3,4,5,2,6,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,7,3,4,5,6,2] => [7,3,4,5,6,2,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,7,3,4,6,5,2] => [7,3,4,6,5,2,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,6,3,5,4,2,7] => [6,3,5,4,2,7,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,6,3,5,4,7,2] => [7,3,5,4,2,6,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,7,3,5,4,6,2] => [7,3,5,4,6,2,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,7,3,5,6,4,2] => [7,3,6,4,5,2,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => [7,3,6,5,4,2,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,5,4,3,2,6,7] => [5,4,3,2,6,7,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,4,3,2,7,6] => [5,4,3,2,7,6,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,4,3,6,2,7] => [6,4,3,2,5,7,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,4,3,6,7,2] => [7,4,3,2,5,6,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,4,3,7,6,2] => [7,4,3,2,6,5,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,6,4,3,5,2,7] => [6,4,3,5,2,7,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,6,4,3,5,7,2] => [7,4,3,5,2,6,1]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,7,4,3,5,6,2] => [7,4,3,5,6,2,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,7,4,3,6,5,2] => [7,4,3,6,5,2,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,6,4,5,3,2,7] => [6,5,3,4,2,7,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,6,4,5,3,7,2] => [7,5,3,4,2,6,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,7,4,5,3,6,2] => [7,5,3,4,6,2,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,7,4,5,6,3,2] => [7,6,3,4,5,2,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => [7,6,3,5,4,2,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,6,5,4,3,2,7] => [6,5,4,3,2,7,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => [7,5,4,3,2,6,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => [7,5,4,3,6,2,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => [7,6,4,3,5,2,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => [7,6,4,5,3,2,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => [7,6,5,4,3,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => [1,3,4,5,6,7,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,7,6] => [1,3,4,5,7,6,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,6,5,7] => [1,3,4,6,5,7,2]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,6,7,5] => [1,3,4,7,5,6,2]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,6,5] => [1,3,4,7,6,5,2]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,5,4,6,7] => [1,3,5,4,6,7,2]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,3,5,4,7,6] => [1,3,5,4,7,6,2]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,6,4,7] => [1,3,6,4,5,7,2]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,5,6,7,4] => [1,3,7,4,5,6,2]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,3,5,7,6,4] => [1,3,7,4,6,5,2]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,6,5,4,7] => [1,3,6,5,4,7,2]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,6,5,7,4] => [1,3,7,5,4,6,2]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,7,5,6,4] => [1,3,7,5,6,4,2]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,6,5,4] => [1,3,7,6,5,4,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7] => [1,4,3,5,6,7,2]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,3,5,7,6] => [1,4,3,5,7,6,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,7] => [1,4,3,6,5,7,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,7,5] => [1,4,3,7,5,6,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,7,6,5] => [1,4,3,7,6,5,2]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,5,3,6,7] => [1,5,3,4,6,7,2]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,4,5,3,7,6] => [1,5,3,4,7,6,2]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,3,7] => [1,6,3,4,5,7,2]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,3] => [1,7,3,4,5,6,2]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,4,5,7,6,3] => [1,7,3,4,6,5,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,5,3,7] => [1,6,3,5,4,7,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,6,5,7,3] => [1,7,3,5,4,6,2]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,4,7,5,6,3] => [1,7,3,5,6,4,2]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,4,7,6,5,3] => [1,7,3,6,5,4,2]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,4,3,6,7] => [1,5,4,3,6,7,2]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,5,4,3,7,6] => [1,5,4,3,7,6,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,4,6,3,7] => [1,6,4,3,5,7,2]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,4,6,7,3] => [1,7,4,3,5,6,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,4,7,6,3] => [1,7,4,3,6,5,2]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,6,4,5,3,7] => [1,6,4,5,3,7,2]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,6,4,5,7,3] => [1,7,4,5,3,6,2]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,7,4,5,6,3] => [1,7,4,5,6,3,2]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,7,4,6,5,3] => [1,7,4,6,5,3,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,5,4,3,7] => [1,6,5,4,3,7,2]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,6,5,4,7,3] => [1,7,5,4,3,6,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,7,5,4,6,3] => [1,7,5,4,6,3,2]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,7,5,6,4,3] => [1,7,6,4,5,3,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => [1,7,6,5,4,3,2]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => [1,2,4,5,6,7,3]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,7,6] => [1,2,4,5,7,6,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,1,4,6,5,7] => [1,2,4,6,5,7,3]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,1,4,6,7,5] => [1,2,4,7,5,6,3]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,1,4,7,6,5] => [1,2,4,7,6,5,3]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,1,5,4,6,7] => [1,2,5,4,6,7,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6] => [1,2,5,4,7,6,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1,5,6,4,7] => [1,2,6,4,5,7,3]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,1,5,6,7,4] => [1,2,7,4,5,6,3]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,1,5,7,6,4] => [1,2,7,4,6,5,3]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1,6,5,4,7] => [1,2,6,5,4,7,3]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,6,5,7,4] => [1,2,7,5,4,6,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1,7,5,6,4] => [1,2,7,5,6,4,3]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,1,7,6,5,4] => [1,2,7,6,5,4,3]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => [1,2,3,5,6,7,4]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => [1,2,3,5,7,6,4]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,7] => [1,2,3,6,5,7,4]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,1,6,7,5] => [1,2,3,7,5,6,4]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,1,7,6,5] => [1,2,3,7,6,5,4]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => [1,2,3,4,6,7,5]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => [1,2,3,4,7,6,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => [1,2,3,4,5,7,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,7,6,1] => [1,2,3,4,6,5,7]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,6,5,1,7] => [1,2,3,5,4,7,6]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,6,5,7,1] => [1,2,3,5,4,6,7]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,7,5,6,1] => [1,2,3,5,6,4,7]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,7,6,5,1] => [1,2,3,6,5,4,7]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,5,4,1,6,7] => [1,2,4,3,6,7,5]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,3,5,4,1,7,6] => [1,2,4,3,7,6,5]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,3,5,4,6,1,7] => [1,2,4,3,5,7,6]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,5,4,6,7,1] => [1,2,4,3,5,6,7]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,4,7,6,1] => [1,2,4,3,6,5,7]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,3,6,4,5,1,7] => [1,2,4,5,3,7,6]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,6,4,5,7,1] => [1,2,4,5,3,6,7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,7,4,5,6,1] => [1,2,4,5,6,3,7]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,7,4,6,5,1] => [1,2,4,6,5,3,7]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,6,5,4,1,7] => [1,2,5,4,3,7,6]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,6,5,4,7,1] => [1,2,5,4,3,6,7]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,7,5,4,6,1] => [1,2,5,4,6,3,7]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,7,5,6,4,1] => [1,2,6,4,5,3,7]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,7,6,5,4,1] => [1,2,6,5,4,3,7]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,3,1,5,6,7] => [1,3,2,5,6,7,4]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,4,3,1,5,7,6] => [1,3,2,5,7,6,4]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,3,1,6,5,7] => [1,3,2,6,5,7,4]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,3,1,6,7,5] => [1,3,2,7,5,6,4]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,3,1,7,6,5] => [1,3,2,7,6,5,4]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,3,5,1,6,7] => [1,3,2,4,6,7,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,3,5,1,7,6] => [1,3,2,4,7,6,5]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,4,3,5,6,1,7] => [1,3,2,4,5,7,6]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,4,3,5,6,7,1] => [1,3,2,4,5,6,7]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,4,3,5,7,6,1] => [1,3,2,4,6,5,7]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,3,6,5,1,7] => [1,3,2,5,4,7,6]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,3,6,5,7,1] => [1,3,2,5,4,6,7]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,4,3,7,5,6,1] => [1,3,2,5,6,4,7]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,3,7,6,5,1] => [1,3,2,6,5,4,7]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,5,3,4,1,6,7] => [1,3,4,2,6,7,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,5,3,4,1,7,6] => [1,3,4,2,7,6,5]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,5,3,4,6,1,7] => [1,3,4,2,5,7,6]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,5,3,4,6,7,1] => [1,3,4,2,5,6,7]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,5,3,4,7,6,1] => [1,3,4,2,6,5,7]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,6,3,4,5,1,7] => [1,3,4,5,2,7,6]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,6,3,4,5,7,1] => [1,3,4,5,2,6,7]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,7,3,4,5,6,1] => [1,3,4,5,6,2,7]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,7,3,4,6,5,1] => [1,3,4,6,5,2,7]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,6,3,5,4,1,7] => [1,3,5,4,2,7,6]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,6,3,5,4,7,1] => [1,3,5,4,2,6,7]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,7,3,5,4,6,1] => [1,3,5,4,6,2,7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,7,3,5,6,4,1] => [1,3,6,4,5,2,7]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,7,3,6,5,4,1] => [1,3,6,5,4,2,7]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,4,3,1,6,7] => [1,4,3,2,6,7,5]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,4,3,1,7,6] => [1,4,3,2,7,6,5]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,5,4,3,6,1,7] => [1,4,3,2,5,7,6]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,5,4,3,6,7,1] => [1,4,3,2,5,6,7]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,5,4,3,7,6,1] => [1,4,3,2,6,5,7]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,6,4,3,5,1,7] => [1,4,3,5,2,7,6]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,6,4,3,5,7,1] => [1,4,3,5,2,6,7]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,7,4,3,5,6,1] => [1,4,3,5,6,2,7]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,7,4,3,6,5,1] => [1,4,3,6,5,2,7]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,6,4,5,3,1,7] => [1,5,3,4,2,7,6]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,6,4,5,3,7,1] => [1,5,3,4,2,6,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,7,4,5,3,6,1] => [1,5,3,4,6,2,7]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,7,4,5,6,3,1] => [1,6,3,4,5,2,7]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,7,4,6,5,3,1] => [1,6,3,5,4,2,7]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => [1,5,4,3,2,7,6]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,6,5,4,3,7,1] => [1,5,4,3,2,6,7]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,7,5,4,3,6,1] => [1,5,4,3,6,2,7]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,7,5,4,6,3,1] => [1,6,4,3,5,2,7]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,7,6,4,5,3,1] => [1,6,4,5,3,2,7]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7,6,5,4,3,1] => [1,6,5,4,3,2,7]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => [2,1,4,5,6,7,3]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,2,1,4,5,7,6] => [2,1,4,5,7,6,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,2,1,4,6,5,7] => [2,1,4,6,5,7,3]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,2,1,4,6,7,5] => [2,1,4,7,5,6,3]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,2,1,4,7,6,5] => [2,1,4,7,6,5,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,5,4,6,7] => [2,1,5,4,6,7,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,1,5,4,7,6] => [2,1,5,4,7,6,3]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,5,6,4,7] => [2,1,6,4,5,7,3]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,5,6,7,4] => [2,1,7,4,5,6,3]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,1,5,7,6,4] => [2,1,7,4,6,5,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,2,1,6,5,4,7] => [2,1,6,5,4,7,3]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,2,1,6,5,7,4] => [2,1,7,5,4,6,3]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,2,1,7,5,6,4] => [2,1,7,5,6,4,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,2,1,7,6,5,4] => [2,1,7,6,5,4,3]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7] => [2,1,3,5,6,7,4]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,2,4,1,5,7,6] => [2,1,3,5,7,6,4]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,2,4,1,6,5,7] => [2,1,3,6,5,7,4]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,2,4,1,6,7,5] => [2,1,3,7,5,6,4]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,2,4,1,7,6,5] => [2,1,3,7,6,5,4]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,2,4,5,1,6,7] => [2,1,3,4,6,7,5]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,2,4,5,1,7,6] => [2,1,3,4,7,6,5]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,1,7] => [2,1,3,4,5,7,6]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => [2,1,3,4,5,6,7]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,2,4,5,7,6,1] => [2,1,3,4,6,5,7]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,2,4,6,5,1,7] => [2,1,3,5,4,7,6]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,2,4,6,5,7,1] => [2,1,3,5,4,6,7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,2,4,7,5,6,1] => [2,1,3,5,6,4,7]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,2,4,7,6,5,1] => [2,1,3,6,5,4,7]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,5,4,1,6,7] => [2,1,4,3,6,7,5]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,5,4,1,7,6] => [2,1,4,3,7,6,5]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,5,4,6,1,7] => [2,1,4,3,5,7,6]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,5,4,6,7,1] => [2,1,4,3,5,6,7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,5,4,7,6,1] => [2,1,4,3,6,5,7]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,6,4,5,1,7] => [2,1,4,5,3,7,6]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,6,4,5,7,1] => [2,1,4,5,3,6,7]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,2,7,4,5,6,1] => [2,1,4,5,6,3,7]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,7,4,6,5,1] => [2,1,4,6,5,3,7]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,2,6,5,4,1,7] => [2,1,5,4,3,7,6]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,2,6,5,4,7,1] => [2,1,5,4,3,6,7]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,2,7,5,4,6,1] => [2,1,5,4,6,3,7]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,2,7,5,6,4,1] => [2,1,6,4,5,3,7]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,2,7,6,5,4,1] => [2,1,6,5,4,3,7]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,2,3,1,5,6,7] => [2,3,1,5,6,7,4]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,2,3,1,5,7,6] => [2,3,1,5,7,6,4]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,2,3,1,6,5,7] => [2,3,1,6,5,7,4]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,2,3,1,6,7,5] => [2,3,1,7,5,6,4]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,2,3,1,7,6,5] => [2,3,1,7,6,5,4]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,2,3,5,1,6,7] => [2,3,1,4,6,7,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,2,3,5,1,7,6] => [2,3,1,4,7,6,5]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,2,3,5,6,1,7] => [2,3,1,4,5,7,6]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => [2,3,1,4,5,6,7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,2,3,5,7,6,1] => [2,3,1,4,6,5,7]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,2,3,6,5,1,7] => [2,3,1,5,4,7,6]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,2,3,6,5,7,1] => [2,3,1,5,4,6,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,2,3,7,5,6,1] => [2,3,1,5,6,4,7]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,2,3,7,6,5,1] => [2,3,1,6,5,4,7]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [5,2,3,4,1,6,7] => [2,3,4,1,6,7,5]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [5,2,3,4,1,7,6] => [2,3,4,1,7,6,5]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [5,2,3,4,6,1,7] => [2,3,4,1,5,7,6]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => [2,3,4,1,5,6,7]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [5,2,3,4,7,6,1] => [2,3,4,1,6,5,7]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [6,2,3,4,5,1,7] => [2,3,4,5,1,7,6]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => [2,3,4,5,1,6,7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7,2,3,4,5,6,1] => [2,3,4,5,6,1,7]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [7,2,3,4,6,5,1] => [2,3,4,6,5,1,7]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [6,2,3,5,4,1,7] => [2,3,5,4,1,7,6]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [6,2,3,5,4,7,1] => [2,3,5,4,1,6,7]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [7,2,3,5,4,6,1] => [2,3,5,4,6,1,7]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [7,2,3,5,6,4,1] => [2,3,6,4,5,1,7]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [7,2,3,6,5,4,1] => [2,3,6,5,4,1,7]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [5,2,4,3,1,6,7] => [2,4,3,1,6,7,5]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [5,2,4,3,1,7,6] => [2,4,3,1,7,6,5]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [5,2,4,3,6,1,7] => [2,4,3,1,5,7,6]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [5,2,4,3,6,7,1] => [2,4,3,1,5,6,7]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [5,2,4,3,7,6,1] => [2,4,3,1,6,5,7]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [6,2,4,3,5,1,7] => [2,4,3,5,1,7,6]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [6,2,4,3,5,7,1] => [2,4,3,5,1,6,7]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [7,2,4,3,5,6,1] => [2,4,3,5,6,1,7]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [7,2,4,3,6,5,1] => [2,4,3,6,5,1,7]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => [2,5,3,4,1,7,6]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [6,2,4,5,3,7,1] => [2,5,3,4,1,6,7]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [7,2,4,5,3,6,1] => [2,5,3,4,6,1,7]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [7,2,4,5,6,3,1] => [2,6,3,4,5,1,7]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [7,2,4,6,5,3,1] => [2,6,3,5,4,1,7]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => [2,5,4,3,1,7,6]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [6,2,5,4,3,7,1] => [2,5,4,3,1,6,7]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [7,2,5,4,3,6,1] => [2,5,4,3,6,1,7]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [7,2,5,4,6,3,1] => [2,6,4,3,5,1,7]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [7,2,6,4,5,3,1] => [2,6,4,5,3,1,7]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [7,2,6,5,4,3,1] => [2,6,5,4,3,1,7]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => [3,2,1,5,6,7,4]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,3,2,1,5,7,6] => [3,2,1,5,7,6,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,3,2,1,6,5,7] => [3,2,1,6,5,7,4]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,3,2,1,6,7,5] => [3,2,1,7,5,6,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3,2,1,7,6,5] => [3,2,1,7,6,5,4]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,3,2,5,1,6,7] => [3,2,1,4,6,7,5]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,3,2,5,1,7,6] => [3,2,1,4,7,6,5]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,3,2,5,6,1,7] => [3,2,1,4,5,7,6]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => [3,2,1,4,5,6,7]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,3,2,5,7,6,1] => [3,2,1,4,6,5,7]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,3,2,6,5,1,7] => [3,2,1,5,4,7,6]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,3,2,6,5,7,1] => [3,2,1,5,4,6,7]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,3,2,7,5,6,1] => [3,2,1,5,6,4,7]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3,2,7,6,5,1] => [3,2,1,6,5,4,7]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,3,2,4,1,6,7] => [3,2,4,1,6,7,5]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,3,2,4,1,7,6] => [3,2,4,1,7,6,5]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [5,3,2,4,6,1,7] => [3,2,4,1,5,7,6]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => [3,2,4,1,5,6,7]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [5,3,2,4,7,6,1] => [3,2,4,1,6,5,7]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1,7] => [3,2,4,5,1,7,6]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [6,3,2,4,5,7,1] => [3,2,4,5,1,6,7]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7,3,2,4,5,6,1] => [3,2,4,5,6,1,7]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [7,3,2,4,6,5,1] => [3,2,4,6,5,1,7]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => [3,2,5,4,1,7,6]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [6,3,2,5,4,7,1] => [3,2,5,4,1,6,7]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [7,3,2,5,4,6,1] => [3,2,5,4,6,1,7]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [7,3,2,5,6,4,1] => [3,2,6,4,5,1,7]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [7,3,2,6,5,4,1] => [3,2,6,5,4,1,7]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,3,4,2,1,6,7] => [4,2,3,1,6,7,5]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,3,4,2,1,7,6] => [4,2,3,1,7,6,5]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,3,4,2,6,1,7] => [4,2,3,1,5,7,6]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,3,4,2,6,7,1] => [4,2,3,1,5,6,7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,3,4,2,7,6,1] => [4,2,3,1,6,5,7]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => [4,2,3,5,1,7,6]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [6,3,4,2,5,7,1] => [4,2,3,5,1,6,7]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [7,3,4,2,5,6,1] => [4,2,3,5,6,1,7]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [7,3,4,2,6,5,1] => [4,2,3,6,5,1,7]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => [5,2,3,4,1,7,6]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [6,3,4,5,2,7,1] => [5,2,3,4,1,6,7]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [7,3,4,5,2,6,1] => [5,2,3,4,6,1,7]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [7,3,4,5,6,2,1] => [6,2,3,4,5,1,7]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [7,3,4,6,5,2,1] => [6,2,3,5,4,1,7]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => [5,2,4,3,1,7,6]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [6,3,5,4,2,7,1] => [5,2,4,3,1,6,7]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [7,3,5,4,2,6,1] => [5,2,4,3,6,1,7]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [7,3,5,4,6,2,1] => [6,2,4,3,5,1,7]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [7,3,6,4,5,2,1] => [6,2,4,5,3,1,7]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [7,3,6,5,4,2,1] => [6,2,5,4,3,1,7]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => [4,3,2,1,6,7,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => [4,3,2,1,7,6,5]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => [4,3,2,1,5,7,6]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,4,3,2,6,7,1] => [4,3,2,1,5,6,7]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,4,3,2,7,6,1] => [4,3,2,1,6,5,7]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => [4,3,2,5,1,7,6]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [6,4,3,2,5,7,1] => [4,3,2,5,1,6,7]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [7,4,3,2,5,6,1] => [4,3,2,5,6,1,7]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [7,4,3,2,6,5,1] => [4,3,2,6,5,1,7]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => [5,3,2,4,1,7,6]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [6,4,3,5,2,7,1] => [5,3,2,4,1,6,7]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [7,4,3,5,2,6,1] => [5,3,2,4,6,1,7]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [7,4,3,5,6,2,1] => [6,3,2,4,5,1,7]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [7,4,3,6,5,2,1] => [6,3,2,5,4,1,7]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => [5,3,4,2,1,7,6]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,5,3,4,2,7,1] => [5,3,4,2,1,6,7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [7,5,3,4,2,6,1] => [5,3,4,2,6,1,7]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [7,5,3,4,6,2,1] => [6,3,4,2,5,1,7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [7,6,3,4,5,2,1] => [6,3,4,5,2,1,7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [7,6,3,5,4,2,1] => [6,3,5,4,2,1,7]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => [5,4,3,2,1,7,6]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,5,4,3,2,7,1] => [5,4,3,2,1,6,7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [7,5,4,3,2,6,1] => [5,4,3,2,6,1,7]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [7,5,4,3,6,2,1] => [6,4,3,2,5,1,7]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [7,6,4,3,5,2,1] => [6,4,3,5,2,1,7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,6,4,5,3,2,1] => [6,5,3,4,2,1,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1,7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,7,8,6] => [2,3,4,5,8,6,7,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,4,6,5,8,7] => [2,3,4,6,5,8,7,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,4,6,7,5,8] => [2,3,4,7,5,6,8,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,6,7,8,5] => [2,3,4,8,5,6,7,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,4,6,8,7,5] => [2,3,4,8,5,7,6,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,4,7,6,8,5] => [2,3,4,8,6,5,7,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,4,8,6,7,5] => [2,3,4,8,6,7,5,1]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,4,8,7,6,5] => [2,3,4,8,7,6,5,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,3,5,4,6,8,7] => [2,3,5,4,6,8,7,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => [2,3,5,4,7,6,8,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,3,5,4,7,8,6] => [2,3,5,4,8,6,7,1]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3,5,4,8,7,6] => [2,3,5,4,8,7,6,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,3,5,6,4,7,8] => [2,3,6,4,5,7,8,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,3,5,6,4,8,7] => [2,3,6,4,5,8,7,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,3,5,6,7,4,8] => [2,3,7,4,5,6,8,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,4] => [2,3,8,4,5,6,7,1]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,3,5,6,8,7,4] => [2,3,8,4,5,7,6,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,3,5,7,6,4,8] => [2,3,7,4,6,5,8,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,3,5,7,6,8,4] => [2,3,8,4,6,5,7,1]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,3,5,8,6,7,4] => [2,3,8,4,6,7,5,1]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3,5,8,7,6,4] => [2,3,8,4,7,6,5,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,6,5,4,8,7] => [2,3,6,5,4,8,7,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,5,7,4,8] => [2,3,7,5,4,6,8,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,3,6,5,7,8,4] => [2,3,8,5,4,6,7,1]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,6,5,8,7,4] => [2,3,8,5,4,7,6,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,3,7,5,6,4,8] => [2,3,7,5,6,4,8,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,3,7,5,6,8,4] => [2,3,8,5,6,4,7,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,3,8,5,6,7,4] => [2,3,8,5,6,7,4,1]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,3,8,5,7,6,4] => [2,3,8,5,7,6,4,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,3,7,6,5,4,8] => [2,3,7,6,5,4,8,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,3,7,6,5,8,4] => [2,3,8,6,5,4,7,1]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,3,8,6,5,7,4] => [2,3,8,6,5,7,4,1]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,3,8,6,7,5,4] => [2,3,8,7,5,6,4,1]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,3,8,7,6,5,4] => [2,3,8,7,6,5,4,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,4,3,5,6,8,7] => [2,4,3,5,6,8,7,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5,7,6,8] => [2,4,3,5,7,6,8,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,4,3,5,7,8,6] => [2,4,3,5,8,6,7,1]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,4,3,5,8,7,6] => [2,4,3,5,8,7,6,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => [2,4,3,6,5,7,8,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,8,7] => [2,4,3,6,5,8,7,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,4,3,6,7,5,8] => [2,4,3,7,5,6,8,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,4,3,6,7,8,5] => [2,4,3,8,5,6,7,1]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,4,3,6,8,7,5] => [2,4,3,8,5,7,6,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,7,6,5,8] => [2,4,3,7,6,5,8,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,6,8,5] => [2,4,3,8,6,5,7,1]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,4,3,8,6,7,5] => [2,4,3,8,6,7,5,1]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,8,7,6,5] => [2,4,3,8,7,6,5,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,2,4,5,3,6,7,8] => [2,5,3,4,6,7,8,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6,8,7] => [2,5,3,4,6,8,7,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6,8] => [2,5,3,4,7,6,8,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,2,4,5,3,7,8,6] => [2,5,3,4,8,6,7,1]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,2,4,5,3,8,7,6] => [2,5,3,4,8,7,6,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,4,5,6,3,7,8] => [2,6,3,4,5,7,8,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,2,4,5,6,3,8,7] => [2,6,3,4,5,8,7,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,7,3,8] => [2,7,3,4,5,6,8,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,3] => [2,8,3,4,5,6,7,1]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,4,5,6,8,7,3] => [2,8,3,4,5,7,6,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,2,4,5,7,6,3,8] => [2,7,3,4,6,5,8,1]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,2,4,5,8,6,7,3] => [2,8,3,4,6,7,5,1]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,2,4,5,8,7,6,3] => [2,8,3,4,7,6,5,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,2,4,6,5,3,7,8] => [2,6,3,5,4,7,8,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,2,4,6,5,3,8,7] => [2,6,3,5,4,8,7,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,2,4,6,5,7,3,8] => [2,7,3,5,4,6,8,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,2,4,6,5,7,8,3] => [2,8,3,5,4,6,7,1]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,2,4,6,5,8,7,3] => [2,8,3,5,4,7,6,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,2,4,7,5,6,3,8] => [2,7,3,5,6,4,8,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,2,4,7,5,6,8,3] => [2,8,3,5,6,4,7,1]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,4,8,5,6,7,3] => [2,8,3,5,6,7,4,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,2,4,7,6,5,3,8] => [2,7,3,6,5,4,8,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,4,7,6,5,8,3] => [2,8,3,6,5,4,7,1]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,4,8,6,5,7,3] => [2,8,3,6,5,7,4,1]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,4,8,6,7,5,3] => [2,8,3,7,5,6,4,1]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,4,8,7,6,5,3] => [2,8,3,7,6,5,4,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,5,4,3,6,8,7] => [2,5,4,3,6,8,7,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,5,4,3,7,6,8] => [2,5,4,3,7,6,8,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,5,4,3,7,8,6] => [2,5,4,3,8,6,7,1]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,5,4,3,8,7,6] => [2,5,4,3,8,7,6,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,2,5,4,6,3,7,8] => [2,6,4,3,5,7,8,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,2,5,4,6,3,8,7] => [2,6,4,3,5,8,7,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,2,5,4,6,7,3,8] => [2,7,4,3,5,6,8,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,2,5,4,6,7,8,3] => [2,8,4,3,5,6,7,1]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,2,5,4,6,8,7,3] => [2,8,4,3,5,7,6,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,2,5,4,7,6,3,8] => [2,7,4,3,6,5,8,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,2,5,4,7,6,8,3] => [2,8,4,3,6,5,7,1]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,2,5,4,8,6,7,3] => [2,8,4,3,6,7,5,1]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,2,5,4,8,7,6,3] => [2,8,4,3,7,6,5,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,6,4,5,3,7,8] => [2,6,4,5,3,7,8,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,2,6,4,5,7,8,3] => [2,8,4,5,3,6,7,1]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,2,6,4,5,8,7,3] => [2,8,4,5,3,7,6,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,2,7,4,5,6,3,8] => [2,7,4,5,6,3,8,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,2,7,4,5,6,8,3] => [2,8,4,5,6,3,7,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,8,4,5,6,7,3] => [2,8,4,5,6,7,3,1]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,2,8,4,5,7,6,3] => [2,8,4,5,7,6,3,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,2,7,4,6,5,3,8] => [2,7,4,6,5,3,8,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,2,7,4,6,5,8,3] => [2,8,4,6,5,3,7,1]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,8,4,6,7,5,3] => [2,8,4,7,5,6,3,1]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,2,8,4,7,6,5,3] => [2,8,4,7,6,5,3,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,6,5,4,3,7,8] => [2,6,5,4,3,7,8,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,6,5,4,3,8,7] => [2,6,5,4,3,8,7,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,6,5,4,7,8,3] => [2,8,5,4,3,6,7,1]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,6,5,4,8,7,3] => [2,8,5,4,3,7,6,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,2,7,5,4,6,3,8] => [2,7,5,4,6,3,8,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,2,7,5,4,6,8,3] => [2,8,5,4,6,3,7,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,2,8,5,4,6,7,3] => [2,8,5,4,6,7,3,1]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,2,8,5,4,7,6,3] => [2,8,5,4,7,6,3,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,2,7,5,6,4,3,8] => [2,7,6,4,5,3,8,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,2,7,5,6,4,8,3] => [2,8,6,4,5,3,7,1]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,2,8,5,6,4,7,3] => [2,8,6,4,5,7,3,1]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,8,5,6,7,4,3] => [2,8,7,4,5,6,3,1]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,2,8,5,7,6,4,3] => [2,8,7,4,6,5,3,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,7,6,5,4,3,8] => [2,7,6,5,4,3,8,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,7,6,5,4,8,3] => [2,8,6,5,4,3,7,1]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,8,6,5,4,7,3] => [2,8,6,5,4,7,3,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,2,8,6,5,7,4,3] => [2,8,7,5,4,6,3,1]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,8,7,5,6,4,3] => [2,8,7,5,6,4,3,1]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,8,7,6,5,4,3] => [2,8,7,6,5,4,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,6,8,7] => [3,2,4,5,6,8,7,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => [3,2,4,5,7,6,8,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,3,2,4,5,7,8,6] => [3,2,4,5,8,6,7,1]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,8,7,6] => [3,2,4,5,8,7,6,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,6,5,7,8] => [3,2,4,6,5,7,8,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,3,2,4,6,5,8,7] => [3,2,4,6,5,8,7,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,3,2,4,6,7,5,8] => [3,2,4,7,5,6,8,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,2,4,6,7,8,5] => [3,2,4,8,5,6,7,1]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,2,4,6,8,7,5] => [3,2,4,8,5,7,6,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,2,4,7,6,5,8] => [3,2,4,7,6,5,8,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,2,4,7,6,8,5] => [3,2,4,8,6,5,7,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,2,4,8,6,7,5] => [3,2,4,8,6,7,5,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,2,4,8,7,6,5] => [3,2,4,8,7,6,5,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,5,4,6,8,7] => [3,2,5,4,6,8,7,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => [3,2,5,4,7,6,8,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,4,7,8,6] => [3,2,5,4,8,6,7,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,7,6] => [3,2,5,4,8,7,6,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,3,2,5,6,4,7,8] => [3,2,6,4,5,7,8,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,3,2,5,6,4,8,7] => [3,2,6,4,5,8,7,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,2,5,6,7,4,8] => [3,2,7,4,5,6,8,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,2,5,6,7,8,4] => [3,2,8,4,5,6,7,1]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,3,2,5,6,8,7,4] => [3,2,8,4,5,7,6,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,2,5,7,6,4,8] => [3,2,7,4,6,5,8,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,3,2,5,7,6,8,4] => [3,2,8,4,6,5,7,1]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,3,2,5,8,6,7,4] => [3,2,8,4,6,7,5,1]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,2,5,8,7,6,4] => [3,2,8,4,7,6,5,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,5,4,7,8] => [3,2,6,5,4,7,8,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2,6,5,4,8,7] => [3,2,6,5,4,8,7,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,5,7,4,8] => [3,2,7,5,4,6,8,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,3,2,6,5,7,8,4] => [3,2,8,5,4,6,7,1]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,5,8,7,4] => [3,2,8,5,4,7,6,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,3,2,7,5,6,4,8] => [3,2,7,5,6,4,8,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,2,7,5,6,8,4] => [3,2,8,5,6,4,7,1]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,3,2,8,5,6,7,4] => [3,2,8,5,6,7,4,1]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2,8,5,7,6,4] => [3,2,8,5,7,6,4,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,6,5,4,8] => [3,2,7,6,5,4,8,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,7,6,5,8,4] => [3,2,8,6,5,4,7,1]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,8,6,5,7,4] => [3,2,8,6,5,7,4,1]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,2,8,6,7,5,4] => [3,2,8,7,5,6,4,1]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,8,7,6,5,4] => [3,2,8,7,6,5,4,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,2,5,6,8,7] => [4,2,3,5,6,8,7,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,5,7,6,8] => [4,2,3,5,7,6,8,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,2,5,7,8,6] => [4,2,3,5,8,6,7,1]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,8,7,6] => [4,2,3,5,8,7,6,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,3,4,2,6,5,8,7] => [4,2,3,6,5,8,7,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => [4,2,3,7,5,6,8,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,3,4,2,6,7,8,5] => [4,2,3,8,5,6,7,1]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,3,4,2,6,8,7,5] => [4,2,3,8,5,7,6,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,3,4,2,7,6,5,8] => [4,2,3,7,6,5,8,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,3,4,2,7,6,8,5] => [4,2,3,8,6,5,7,1]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,3,4,2,8,6,7,5] => [4,2,3,8,6,7,5,1]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,3,4,2,8,7,6,5] => [4,2,3,8,7,6,5,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2,6,7,8] => [5,2,3,4,6,7,8,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,5,2,6,8,7] => [5,2,3,4,6,8,7,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,5,2,7,6,8] => [5,2,3,4,7,6,8,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,5,2,7,8,6] => [5,2,3,4,8,6,7,1]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,5,2,8,7,6] => [5,2,3,4,8,7,6,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,6,2,7,8] => [6,2,3,4,5,7,8,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,6,2,8,7] => [6,2,3,4,5,8,7,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,7,2,8] => [7,2,3,4,5,6,8,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,2] => [8,2,3,4,5,6,7,1]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,6,8,7,2] => [8,2,3,4,5,7,6,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,5,7,6,2,8] => [7,2,3,4,6,5,8,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,5,7,6,8,2] => [8,2,3,4,6,5,7,1]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,5,8,6,7,2] => [8,2,3,4,6,7,5,1]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,5,8,7,6,2] => [8,2,3,4,7,6,5,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,3,4,6,5,2,7,8] => [6,2,3,5,4,7,8,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,3,4,6,5,2,8,7] => [6,2,3,5,4,8,7,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,3,4,6,5,7,2,8] => [7,2,3,5,4,6,8,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,3,4,6,5,7,8,2] => [8,2,3,5,4,6,7,1]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,4,6,5,8,7,2] => [8,2,3,5,4,7,6,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,3,4,7,5,6,8,2] => [8,2,3,5,6,4,7,1]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,3,4,8,5,6,7,2] => [8,2,3,5,6,7,4,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,3,4,7,6,5,8,2] => [8,2,3,6,5,4,7,1]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,3,4,8,6,5,7,2] => [8,2,3,6,5,7,4,1]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,3,4,8,6,7,5,2] => [8,2,3,7,5,6,4,1]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,4,8,7,6,5,2] => [8,2,3,7,6,5,4,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,3,5,4,2,6,7,8] => [5,2,4,3,6,7,8,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,3,5,4,2,6,8,7] => [5,2,4,3,6,8,7,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,3,5,4,2,7,6,8] => [5,2,4,3,7,6,8,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,3,5,4,2,7,8,6] => [5,2,4,3,8,6,7,1]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,3,5,4,2,8,7,6] => [5,2,4,3,8,7,6,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,3,5,4,6,2,7,8] => [6,2,4,3,5,7,8,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,3,5,4,6,7,2,8] => [7,2,4,3,5,6,8,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,5,4,6,7,8,2] => [8,2,4,3,5,6,7,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,5,4,6,8,7,2] => [8,2,4,3,5,7,6,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,3,5,4,7,6,2,8] => [7,2,4,3,6,5,8,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,5,4,7,6,8,2] => [8,2,4,3,6,5,7,1]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,3,5,4,8,7,6,2] => [8,2,4,3,7,6,5,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,3,6,4,5,2,8,7] => [6,2,4,5,3,8,7,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,6,4,5,7,2,8] => [7,2,4,5,3,6,8,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,3,6,4,5,7,8,2] => [8,2,4,5,3,6,7,1]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,3,6,4,5,8,7,2] => [8,2,4,5,3,7,6,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,3,7,4,5,6,2,8] => [7,2,4,5,6,3,8,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,3,7,4,5,6,8,2] => [8,2,4,5,6,3,7,1]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,8,4,5,6,7,2] => [8,2,4,5,6,7,3,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,3,7,4,6,5,2,8] => [7,2,4,6,5,3,8,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,8,4,6,5,7,2] => [8,2,4,6,5,7,3,1]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,8,4,6,7,5,2] => [8,2,4,7,5,6,3,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,3,8,4,7,6,5,2] => [8,2,4,7,6,5,3,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,3,6,5,4,2,7,8] => [6,2,5,4,3,7,8,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,3,6,5,4,2,8,7] => [6,2,5,4,3,8,7,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,3,6,5,4,7,2,8] => [7,2,5,4,3,6,8,1]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,6,5,4,8,7,2] => [8,2,5,4,3,7,6,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,3,7,5,4,6,8,2] => [8,2,5,4,6,3,7,1]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,3,8,5,4,6,7,2] => [8,2,5,4,6,7,3,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,8,5,4,7,6,2] => [8,2,5,4,7,6,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,3,7,5,6,4,2,8] => [7,2,6,4,5,3,8,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,8,5,6,4,7,2] => [8,2,6,4,5,7,3,1]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,8,5,6,7,4,2] => [8,2,7,4,5,6,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,3,8,5,7,6,4,2] => [8,2,7,4,6,5,3,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,3,7,6,5,4,2,8] => [7,2,6,5,4,3,8,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,3,8,6,5,7,4,2] => [8,2,7,5,4,6,3,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,3,8,7,5,6,4,2] => [8,2,7,5,6,4,3,1]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,8,7,6,5,4,2] => [8,2,7,6,5,4,3,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,4,3,2,5,6,8,7] => [4,3,2,5,6,8,7,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,3,2,5,7,6,8] => [4,3,2,5,7,6,8,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,4,3,2,5,7,8,6] => [4,3,2,5,8,6,7,1]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,3,2,5,8,7,6] => [4,3,2,5,8,7,6,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,4,3,2,6,5,7,8] => [4,3,2,6,5,7,8,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,4,3,2,6,5,8,7] => [4,3,2,6,5,8,7,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,4,3,2,6,7,5,8] => [4,3,2,7,5,6,8,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,4,3,2,6,7,8,5] => [4,3,2,8,5,6,7,1]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,4,3,2,6,8,7,5] => [4,3,2,8,5,7,6,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => [4,3,2,7,6,5,8,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,4,3,2,7,6,8,5] => [4,3,2,8,6,5,7,1]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,4,3,2,8,6,7,5] => [4,3,2,8,6,7,5,1]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,4,3,2,8,7,6,5] => [4,3,2,8,7,6,5,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,3,5,2,6,7,8] => [5,3,2,4,6,7,8,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,3,5,2,6,8,7] => [5,3,2,4,6,8,7,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,3,5,2,7,6,8] => [5,3,2,4,7,6,8,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,3,5,2,7,8,6] => [5,3,2,4,8,6,7,1]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,3,5,2,8,7,6] => [5,3,2,4,8,7,6,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,4,3,5,6,2,7,8] => [6,3,2,4,5,7,8,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,4,3,5,6,7,2,8] => [7,3,2,4,5,6,8,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,8,2] => [8,3,2,4,5,6,7,1]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,3,5,6,8,7,2] => [8,3,2,4,5,7,6,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,3,5,7,6,2,8] => [7,3,2,4,6,5,8,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,3,5,7,6,8,2] => [8,3,2,4,6,5,7,1]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,3,5,8,6,7,2] => [8,3,2,4,6,7,5,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,3,5,8,7,6,2] => [8,3,2,4,7,6,5,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,3,6,5,2,7,8] => [6,3,2,5,4,7,8,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,3,6,5,7,2,8] => [7,3,2,5,4,6,8,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,3,6,5,7,8,2] => [8,3,2,5,4,6,7,1]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => [8,3,2,5,4,7,6,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,3,7,5,6,2,8] => [7,3,2,5,6,4,8,1]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,3,8,5,6,7,2] => [8,3,2,5,6,7,4,1]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,3,8,5,7,6,2] => [8,3,2,5,7,6,4,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,3,7,6,5,2,8] => [7,3,2,6,5,4,8,1]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,3,8,6,5,7,2] => [8,3,2,6,5,7,4,1]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,3,8,6,7,5,2] => [8,3,2,7,5,6,4,1]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => [8,3,2,7,6,5,4,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,5,3,4,2,6,7,8] => [5,3,4,2,6,7,8,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,5,3,4,2,7,6,8] => [5,3,4,2,7,6,8,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,5,3,4,2,7,8,6] => [5,3,4,2,8,6,7,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,5,3,4,2,8,7,6] => [5,3,4,2,8,7,6,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,5,3,4,6,2,7,8] => [6,3,4,2,5,7,8,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,5,3,4,6,2,8,7] => [6,3,4,2,5,8,7,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,5,3,4,6,7,2,8] => [7,3,4,2,5,6,8,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,5,3,4,6,7,8,2] => [8,3,4,2,5,6,7,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,5,3,4,7,6,2,8] => [7,3,4,2,6,5,8,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,5,3,4,7,6,8,2] => [8,3,4,2,6,5,7,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,5,3,4,8,6,7,2] => [8,3,4,2,6,7,5,1]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,5,3,4,8,7,6,2] => [8,3,4,2,7,6,5,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,6,3,4,5,2,7,8] => [6,3,4,5,2,7,8,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,6,3,4,5,7,2,8] => [7,3,4,5,2,6,8,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,6,3,4,5,7,8,2] => [8,3,4,5,2,6,7,1]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,6,3,4,5,8,7,2] => [8,3,4,5,2,7,6,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,7,3,4,5,6,2,8] => [7,3,4,5,6,2,8,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,7,3,4,5,6,8,2] => [8,3,4,5,6,2,7,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,8,3,4,5,6,7,2] => [8,3,4,5,6,7,2,1]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,8,3,4,5,7,6,2] => [8,3,4,5,7,6,2,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,7,3,4,6,5,2,8] => [7,3,4,6,5,2,8,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,7,3,4,6,5,8,2] => [8,3,4,6,5,2,7,1]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,8,3,4,6,5,7,2] => [8,3,4,6,5,7,2,1]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,8,3,4,6,7,5,2] => [8,3,4,7,5,6,2,1]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,8,3,4,7,6,5,2] => [8,3,4,7,6,5,2,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,6,3,5,4,2,7,8] => [6,3,5,4,2,7,8,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,6,3,5,4,7,2,8] => [7,3,5,4,2,6,8,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,6,3,5,4,7,8,2] => [8,3,5,4,2,6,7,1]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,6,3,5,4,8,7,2] => [8,3,5,4,2,7,6,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,7,3,5,4,6,2,8] => [7,3,5,4,6,2,8,1]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,8,3,5,4,6,7,2] => [8,3,5,4,6,7,2,1]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,8,3,5,4,7,6,2] => [8,3,5,4,7,6,2,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,7,3,5,6,4,8,2] => [8,3,6,4,5,2,7,1]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,8,3,5,6,4,7,2] => [8,3,6,4,5,7,2,1]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,8,3,5,6,7,4,2] => [8,3,7,4,5,6,2,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,8,3,5,7,6,4,2] => [8,3,7,4,6,5,2,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,7,3,6,5,4,2,8] => [7,3,6,5,4,2,8,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,7,3,6,5,4,8,2] => [8,3,6,5,4,2,7,1]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,8,3,6,5,4,7,2] => [8,3,6,5,4,7,2,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,8,3,6,5,7,4,2] => [8,3,7,5,4,6,2,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,8,3,7,5,6,4,2] => [8,3,7,5,6,4,2,1]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,8,3,7,6,5,4,2] => [8,3,7,6,5,4,2,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,4,3,2,6,7,8] => [5,4,3,2,6,7,8,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,4,3,2,7,6,8] => [5,4,3,2,7,6,8,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,5,4,3,2,7,8,6] => [5,4,3,2,8,6,7,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,4,3,2,8,7,6] => [5,4,3,2,8,7,6,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,5,4,3,6,2,7,8] => [6,4,3,2,5,7,8,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,5,4,3,6,7,2,8] => [7,4,3,2,5,6,8,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,5,4,3,6,7,8,2] => [8,4,3,2,5,6,7,1]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,5,4,3,6,8,7,2] => [8,4,3,2,5,7,6,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,5,4,3,7,6,8,2] => [8,4,3,2,6,5,7,1]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,5,4,3,8,7,6,2] => [8,4,3,2,7,6,5,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,6,4,3,5,2,7,8] => [6,4,3,5,2,7,8,1]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,6,4,3,5,8,7,2] => [8,4,3,5,2,7,6,1]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,8,4,3,5,6,7,2] => [8,4,3,5,6,7,2,1]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,8,4,3,5,7,6,2] => [8,4,3,5,7,6,2,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,7,4,3,6,5,2,8] => [7,4,3,6,5,2,8,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,7,4,3,6,5,8,2] => [8,4,3,6,5,2,7,1]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,8,4,3,6,5,7,2] => [8,4,3,6,5,7,2,1]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,8,4,3,6,7,5,2] => [8,4,3,7,5,6,2,1]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,8,4,3,7,6,5,2] => [8,4,3,7,6,5,2,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,6,4,5,3,2,7,8] => [6,5,3,4,2,7,8,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,6,4,5,3,2,8,7] => [6,5,3,4,2,8,7,1]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,6,4,5,3,8,7,2] => [8,5,3,4,2,7,6,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,7,4,5,3,6,8,2] => [8,5,3,4,6,2,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,8,4,5,3,6,7,2] => [8,5,3,4,6,7,2,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,8,4,5,3,7,6,2] => [8,5,3,4,7,6,2,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,7,4,5,6,3,2,8] => [7,6,3,4,5,2,8,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,7,4,5,6,3,8,2] => [8,6,3,4,5,2,7,1]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,8,4,5,6,3,7,2] => [8,6,3,4,5,7,2,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,8,4,5,6,7,3,2] => [8,7,3,4,5,6,2,1]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,8,4,5,7,6,3,2] => [8,7,3,4,6,5,2,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,7,4,6,5,3,2,8] => [7,6,3,5,4,2,8,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,7,4,6,5,3,8,2] => [8,6,3,5,4,2,7,1]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,8,4,6,5,3,7,2] => [8,6,3,5,4,7,2,1]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,8,4,6,5,7,3,2] => [8,7,3,5,4,6,2,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,8,4,7,5,6,3,2] => [8,7,3,5,6,4,2,1]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => [8,7,3,6,5,4,2,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,5,4,3,2,7,8] => [6,5,4,3,2,7,8,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,6,5,4,3,2,8,7] => [6,5,4,3,2,8,7,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,5,4,3,7,2,8] => [7,5,4,3,2,6,8,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,6,5,4,3,7,8,2] => [8,5,4,3,2,6,7,1]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => [8,5,4,3,2,7,6,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,7,5,4,3,6,2,8] => [7,5,4,3,6,2,8,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,7,5,4,3,6,8,2] => [8,5,4,3,6,2,7,1]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,8,5,4,3,6,7,2] => [8,5,4,3,6,7,2,1]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,8,5,4,3,7,6,2] => [8,5,4,3,7,6,2,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,7,5,4,6,3,8,2] => [8,6,4,3,5,2,7,1]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,8,5,4,6,3,7,2] => [8,6,4,3,5,7,2,1]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,8,5,4,6,7,3,2] => [8,7,4,3,5,6,2,1]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => [8,7,4,3,6,5,2,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,7,6,4,5,3,2,8] => [7,6,4,5,3,2,8,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,7,6,4,5,3,8,2] => [8,6,4,5,3,2,7,1]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,8,6,4,5,3,7,2] => [8,6,4,5,3,7,2,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,8,6,4,5,7,3,2] => [8,7,4,5,3,6,2,1]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => [8,7,4,5,6,3,2,1]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => [8,7,4,6,5,3,2,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,7,6,5,4,3,2,8] => [7,6,5,4,3,2,8,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7,6,5,4,3,8,2] => [8,6,5,4,3,2,7,1]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,8,6,5,4,3,7,2] => [8,6,5,4,3,7,2,1]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => [8,7,5,4,3,6,2,1]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => [8,7,5,4,6,3,2,1]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => [8,7,6,4,5,3,2,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => [8,7,6,5,4,3,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => [1,3,4,5,6,8,7,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,5,7,6,8] => [1,3,4,5,7,6,8,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,5,7,8,6] => [1,3,4,5,8,6,7,2]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,5,8,7,6] => [1,3,4,5,8,7,6,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,4,6,5,7,8] => [1,3,4,6,5,7,8,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,3,4,6,5,8,7] => [1,3,4,6,5,8,7,2]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,4,6,7,5,8] => [1,3,4,7,5,6,8,2]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,4,6,7,8,5] => [1,3,4,8,5,6,7,2]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,1,3,4,6,8,7,5] => [1,3,4,8,5,7,6,2]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,4,7,6,8,5] => [1,3,4,8,6,5,7,2]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,4,8,6,7,5] => [1,3,4,8,6,7,5,2]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,8,7,6,5] => [1,3,4,8,7,6,5,2]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,3,5,4,6,7,8] => [1,3,5,4,6,7,8,2]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4,6,8,7] => [1,3,5,4,6,8,7,2]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,3,5,4,7,6,8] => [1,3,5,4,7,6,8,2]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,3,5,4,7,8,6] => [1,3,5,4,8,6,7,2]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,3,5,4,8,7,6] => [1,3,5,4,8,7,6,2]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,3,5,6,4,7,8] => [1,3,6,4,5,7,8,2]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,3,5,6,4,8,7] => [1,3,6,4,5,8,7,2]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,3,5,6,7,8,4] => [1,3,8,4,5,6,7,2]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,1,3,5,6,8,7,4] => [1,3,8,4,5,7,6,2]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,1,3,5,7,6,8,4] => [1,3,8,4,6,5,7,2]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,3,5,8,6,7,4] => [1,3,8,4,6,7,5,2]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,3,5,8,7,6,4] => [1,3,8,4,7,6,5,2]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,6,5,4,7,8] => [1,3,6,5,4,7,8,2]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,6,5,4,8,7] => [1,3,6,5,4,8,7,2]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,6,5,7,4,8] => [1,3,7,5,4,6,8,2]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,3,6,5,7,8,4] => [1,3,8,5,4,6,7,2]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,6,5,8,7,4] => [1,3,8,5,4,7,6,2]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,1,3,7,5,6,8,4] => [1,3,8,5,6,4,7,2]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,8,5,6,7,4] => [1,3,8,5,6,7,4,2]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,8,5,7,6,4] => [1,3,8,5,7,6,4,2]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,7,6,5,4,8] => [1,3,7,6,5,4,8,2]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,7,6,5,8,4] => [1,3,8,6,5,4,7,2]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,3,8,6,5,7,4] => [1,3,8,6,5,7,4,2]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,3,8,6,7,5,4] => [1,3,8,7,5,6,4,2]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,8,7,6,5,4] => [1,3,8,7,6,5,4,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7,8] => [1,4,3,5,6,7,8,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,4,3,5,6,8,7] => [1,4,3,5,6,8,7,2]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,4,3,5,7,8,6] => [1,4,3,5,8,6,7,2]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,4,3,5,8,7,6] => [1,4,3,5,8,7,6,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,5,7,8] => [1,4,3,6,5,7,8,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => [1,4,3,6,5,8,7,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,3,6,7,5,8] => [1,4,3,7,5,6,8,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,3,6,7,8,5] => [1,4,3,8,5,6,7,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,8,7,5] => [1,4,3,8,5,7,6,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,3,7,6,5,8] => [1,4,3,7,6,5,8,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,6,8,5] => [1,4,3,8,6,5,7,2]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,8,6,7,5] => [1,4,3,8,6,7,5,2]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,7,6,5] => [1,4,3,8,7,6,5,2]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,4,5,3,6,7,8] => [1,5,3,4,6,7,8,2]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6,8,7] => [1,5,3,4,6,8,7,2]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3,7,8,6] => [1,5,3,4,8,6,7,2]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,4,5,3,8,7,6] => [1,5,3,4,8,7,6,2]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,4,5,6,3,7,8] => [1,6,3,4,5,7,8,2]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,1,4,5,6,3,8,7] => [1,6,3,4,5,8,7,2]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,7,3,8] => [1,7,3,4,5,6,8,2]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,8,3] => [1,8,3,4,5,6,7,2]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,4,5,6,8,7,3] => [1,8,3,4,5,7,6,2]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,4,5,7,6,3,8] => [1,7,3,4,6,5,8,2]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,4,5,7,6,8,3] => [1,8,3,4,6,5,7,2]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,4,5,8,6,7,3] => [1,8,3,4,6,7,5,2]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,4,5,8,7,6,3] => [1,8,3,4,7,6,5,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,4,6,5,3,7,8] => [1,6,3,5,4,7,8,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,1,4,6,5,3,8,7] => [1,6,3,5,4,8,7,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,1,4,6,5,7,3,8] => [1,7,3,5,4,6,8,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,1,4,6,5,7,8,3] => [1,8,3,5,4,6,7,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,1,4,6,5,8,7,3] => [1,8,3,5,4,7,6,2]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,1,4,7,5,6,8,3] => [1,8,3,5,6,4,7,2]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,1,4,8,5,6,7,3] => [1,8,3,5,6,7,4,2]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,1,4,8,5,7,6,3] => [1,8,3,5,7,6,4,2]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,1,4,7,6,5,3,8] => [1,7,3,6,5,4,8,2]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,1,4,7,6,5,8,3] => [1,8,3,6,5,4,7,2]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,1,4,8,6,5,7,3] => [1,8,3,6,5,7,4,2]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,4,8,6,7,5,3] => [1,8,3,7,5,6,4,2]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,1,4,8,7,6,5,3] => [1,8,3,7,6,5,4,2]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,5,4,3,6,7,8] => [1,5,4,3,6,7,8,2]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,1,5,4,3,6,8,7] => [1,5,4,3,6,8,7,2]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,5,4,3,7,6,8] => [1,5,4,3,7,6,8,2]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,1,5,4,3,7,8,6] => [1,5,4,3,8,6,7,2]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,5,4,3,8,7,6] => [1,5,4,3,8,7,6,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,5,4,6,3,7,8] => [1,6,4,3,5,7,8,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7] => [1,6,4,3,5,8,7,2]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,5,4,6,7,3,8] => [1,7,4,3,5,6,8,2]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,1,5,4,6,7,8,3] => [1,8,4,3,5,6,7,2]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,5,4,6,8,7,3] => [1,8,4,3,5,7,6,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,5,4,7,6,3,8] => [1,7,4,3,6,5,8,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => [1,8,4,3,6,5,7,2]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,5,4,8,6,7,3] => [1,8,4,3,6,7,5,2]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,4,8,7,6,3] => [1,8,4,3,7,6,5,2]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,6,4,5,3,7,8] => [1,6,4,5,3,7,8,2]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,6,4,5,3,8,7] => [1,6,4,5,3,8,7,2]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,6,4,5,7,3,8] => [1,7,4,5,3,6,8,2]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,1,6,4,5,7,8,3] => [1,8,4,5,3,6,7,2]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,1,6,4,5,8,7,3] => [1,8,4,5,3,7,6,2]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,1,7,4,5,6,3,8] => [1,7,4,5,6,3,8,2]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,1,7,4,5,6,8,3] => [1,8,4,5,6,3,7,2]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,1,8,4,5,6,7,3] => [1,8,4,5,6,7,3,2]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,1,8,4,5,7,6,3] => [1,8,4,5,7,6,3,2]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,1,7,4,6,5,8,3] => [1,8,4,6,5,3,7,2]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,8,4,6,5,7,3] => [1,8,4,6,5,7,3,2]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,8,4,6,7,5,3] => [1,8,4,7,5,6,3,2]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,1,8,4,7,6,5,3] => [1,8,4,7,6,5,3,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => [1,6,5,4,3,8,7,2]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,5,4,7,8,3] => [1,8,5,4,3,6,7,2]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,6,5,4,8,7,3] => [1,8,5,4,3,7,6,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,7,5,4,6,8,3] => [1,8,5,4,6,3,7,2]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,8,5,4,6,7,3] => [1,8,5,4,6,7,3,2]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,8,5,4,7,6,3] => [1,8,5,4,7,6,3,2]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,7,5,6,4,3,8] => [1,7,6,4,5,3,8,2]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,1,7,5,6,4,8,3] => [1,8,6,4,5,3,7,2]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,1,8,5,6,4,7,3] => [1,8,6,4,5,7,3,2]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,8,5,6,7,4,3] => [1,8,7,4,5,6,3,2]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,1,8,5,7,6,4,3] => [1,8,7,4,6,5,3,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,7,6,5,4,3,8] => [1,7,6,5,4,3,8,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,7,6,5,4,8,3] => [1,8,6,5,4,3,7,2]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,8,6,5,4,7,3] => [1,8,6,5,4,7,3,2]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,8,6,5,7,4,3] => [1,8,7,5,4,6,3,2]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,8,7,5,6,4,3] => [1,8,7,5,6,4,3,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => [1,8,7,6,5,4,3,2]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7,8] => [1,2,4,5,6,7,8,3]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,6,8,7] => [1,2,4,5,6,8,7,3]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,3,1,4,5,7,6,8] => [1,2,4,5,7,6,8,3]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => [1,2,4,5,8,6,7,3]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5,8,7,6] => [1,2,4,5,8,7,6,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,3,1,4,6,5,7,8] => [1,2,4,6,5,7,8,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,4,6,5,8,7] => [1,2,4,6,5,8,7,3]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,3,1,4,6,7,5,8] => [1,2,4,7,5,6,8,3]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,3,1,4,6,7,8,5] => [1,2,4,8,5,6,7,3]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,3,1,4,6,8,7,5] => [1,2,4,8,5,7,6,3]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,4,7,6,8,5] => [1,2,4,8,6,5,7,3]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,3,1,4,8,6,7,5] => [1,2,4,8,6,7,5,3]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,8,7,6,5] => [1,2,4,8,7,6,5,3]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,3,1,5,4,6,7,8] => [1,2,5,4,6,7,8,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6,8] => [1,2,5,4,7,6,8,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,3,1,5,4,7,8,6] => [1,2,5,4,8,6,7,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,3,1,5,6,4,7,8] => [1,2,6,4,5,7,8,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,6,4,8,7] => [1,2,6,4,5,8,7,3]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,3,1,5,6,7,4,8] => [1,2,7,4,5,6,8,3]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,3,1,5,6,7,8,4] => [1,2,8,4,5,6,7,3]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,3,1,5,6,8,7,4] => [1,2,8,4,5,7,6,3]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,3,1,5,7,6,8,4] => [1,2,8,4,6,5,7,3]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,3,1,5,8,6,7,4] => [1,2,8,4,6,7,5,3]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,3,1,5,8,7,6,4] => [1,2,8,4,7,6,5,3]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,6,5,4,7,8] => [1,2,6,5,4,7,8,3]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,1,6,5,4,8,7] => [1,2,6,5,4,8,7,3]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,6,5,7,4,8] => [1,2,7,5,4,6,8,3]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,5,7,8,4] => [1,2,8,5,4,6,7,3]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,3,1,6,5,8,7,4] => [1,2,8,5,4,7,6,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,3,1,7,5,6,4,8] => [1,2,7,5,6,4,8,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,7,5,6,8,4] => [1,2,8,5,6,4,7,3]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,3,1,8,5,6,7,4] => [1,2,8,5,6,7,4,3]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,3,1,8,5,7,6,4] => [1,2,8,5,7,6,4,3]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,7,6,5,4,8] => [1,2,7,6,5,4,8,3]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,7,6,5,8,4] => [1,2,8,6,5,4,7,3]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,8,6,5,7,4] => [1,2,8,6,5,7,4,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,3,1,8,6,7,5,4] => [1,2,8,7,5,6,4,3]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,8,7,6,5,4] => [1,2,8,7,6,5,4,3]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7,8] => [1,2,3,5,6,7,8,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5,6,8,7] => [1,2,3,5,6,8,7,4]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,4,1,5,7,6,8] => [1,2,3,5,7,6,8,4]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,4,1,5,7,8,6] => [1,2,3,5,8,6,7,4]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,8,7,6] => [1,2,3,5,8,7,6,4]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,4,1,6,5,7,8] => [1,2,3,6,5,7,8,4]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,8,7] => [1,2,3,6,5,8,7,4]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,4,1,6,7,5,8] => [1,2,3,7,5,6,8,4]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => [1,2,3,8,5,6,7,4]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,4,1,6,8,7,5] => [1,2,3,8,5,7,6,4]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,4,1,7,6,5,8] => [1,2,3,7,6,5,8,4]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,4,1,7,6,8,5] => [1,2,3,8,6,5,7,4]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,4,1,8,6,7,5] => [1,2,3,8,6,7,5,4]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,4,1,8,7,6,5] => [1,2,3,8,7,6,5,4]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => [1,2,3,4,6,7,8,5]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,5,1,6,8,7] => [1,2,3,4,6,8,7,5]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,5,1,7,6,8] => [1,2,3,4,7,6,8,5]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,5,1,7,8,6] => [1,2,3,4,8,6,7,5]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,5,1,8,7,6] => [1,2,3,4,8,7,6,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => [1,2,3,4,5,7,8,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => [1,2,3,4,5,8,7,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,8,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,8,7,1] => [1,2,3,4,5,7,6,8]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,5,7,6,1,8] => [1,2,3,4,6,5,8,7]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,5,7,6,8,1] => [1,2,3,4,6,5,7,8]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,5,8,6,7,1] => [1,2,3,4,6,7,5,8]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,5,8,7,6,1] => [1,2,3,4,7,6,5,8]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,4,6,5,1,7,8] => [1,2,3,5,4,7,8,6]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,3,4,6,5,1,8,7] => [1,2,3,5,4,8,7,6]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,3,4,6,5,7,1,8] => [1,2,3,5,4,6,8,7]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,4,6,5,7,8,1] => [1,2,3,5,4,6,7,8]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,4,6,5,8,7,1] => [1,2,3,5,4,7,6,8]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,3,4,7,5,6,1,8] => [1,2,3,5,6,4,8,7]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,4,7,5,6,8,1] => [1,2,3,5,6,4,7,8]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,8,5,6,7,1] => [1,2,3,5,6,7,4,8]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,4,8,5,7,6,1] => [1,2,3,5,7,6,4,8]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,4,7,6,5,1,8] => [1,2,3,6,5,4,8,7]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,4,7,6,5,8,1] => [1,2,3,6,5,4,7,8]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,4,8,6,5,7,1] => [1,2,3,6,5,7,4,8]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,4,8,6,7,5,1] => [1,2,3,7,5,6,4,8]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,8,7,6,5,1] => [1,2,3,7,6,5,4,8]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,3,5,4,1,6,7,8] => [1,2,4,3,6,7,8,5]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,3,5,4,1,6,8,7] => [1,2,4,3,6,8,7,5]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,3,5,4,1,7,6,8] => [1,2,4,3,7,6,8,5]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,3,5,4,1,7,8,6] => [1,2,4,3,8,6,7,5]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,3,5,4,1,8,7,6] => [1,2,4,3,8,7,6,5]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,3,5,4,6,1,7,8] => [1,2,4,3,5,7,8,6]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,3,5,4,6,7,1,8] => [1,2,4,3,5,6,8,7]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,3,5,4,6,7,8,1] => [1,2,4,3,5,6,7,8]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,3,5,4,7,6,1,8] => [1,2,4,3,6,5,8,7]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,5,4,7,6,8,1] => [1,2,4,3,6,5,7,8]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,3,5,4,8,6,7,1] => [1,2,4,3,6,7,5,8]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,3,5,4,8,7,6,1] => [1,2,4,3,7,6,5,8]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,3,6,4,5,1,7,8] => [1,2,4,5,3,7,8,6]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => [1,2,4,5,3,8,7,6]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,6,4,5,7,8,1] => [1,2,4,5,3,6,7,8]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,3,6,4,5,8,7,1] => [1,2,4,5,3,7,6,8]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,3,7,4,5,6,1,8] => [1,2,4,5,6,3,8,7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => [1,2,4,5,6,3,7,8]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,8,4,5,6,7,1] => [1,2,4,5,6,7,3,8]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,3,8,4,5,7,6,1] => [1,2,4,5,7,6,3,8]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,3,7,4,6,5,1,8] => [1,2,4,6,5,3,8,7]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,3,7,4,6,5,8,1] => [1,2,4,6,5,3,7,8]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,3,8,4,6,5,7,1] => [1,2,4,6,5,7,3,8]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,8,4,6,7,5,1] => [1,2,4,7,5,6,3,8]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,3,8,4,7,6,5,1] => [1,2,4,7,6,5,3,8]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,3,6,5,4,1,7,8] => [1,2,5,4,3,7,8,6]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,6,5,4,1,8,7] => [1,2,5,4,3,8,7,6]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,6,5,4,7,8,1] => [1,2,5,4,3,6,7,8]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,3,7,5,4,6,1,8] => [1,2,5,4,6,3,8,7]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,7,5,4,6,8,1] => [1,2,5,4,6,3,7,8]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,8,5,4,6,7,1] => [1,2,5,4,6,7,3,8]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,8,5,4,7,6,1] => [1,2,5,4,7,6,3,8]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,3,7,5,6,4,1,8] => [1,2,6,4,5,3,8,7]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,7,5,6,4,8,1] => [1,2,6,4,5,3,7,8]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,8,5,6,4,7,1] => [1,2,6,4,5,7,3,8]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,8,5,6,7,4,1] => [1,2,7,4,5,6,3,8]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,8,5,7,6,4,1] => [1,2,7,4,6,5,3,8]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,3,7,6,5,4,1,8] => [1,2,6,5,4,3,8,7]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,3,7,6,5,4,8,1] => [1,2,6,5,4,3,7,8]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,3,8,6,5,4,7,1] => [1,2,6,5,4,7,3,8]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,3,8,6,5,7,4,1] => [1,2,7,5,4,6,3,8]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,3,8,7,5,6,4,1] => [1,2,7,5,6,4,3,8]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,8,7,6,5,4,1] => [1,2,7,6,5,4,3,8]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,4,3,1,5,6,7,8] => [1,3,2,5,6,7,8,4]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [2,4,3,1,5,6,8,7] => [1,3,2,5,6,8,7,4]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,4,3,1,5,7,6,8] => [1,3,2,5,7,6,8,4]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,4,3,1,5,7,8,6] => [1,3,2,5,8,6,7,4]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,4,3,1,5,8,7,6] => [1,3,2,5,8,7,6,4]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,4,3,1,6,5,7,8] => [1,3,2,6,5,7,8,4]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,5,8,7] => [1,3,2,6,5,8,7,4]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,4,3,1,6,7,8,5] => [1,3,2,8,5,6,7,4]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => [1,3,2,8,5,7,6,4]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => [1,3,2,8,6,5,7,4]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,4,3,1,8,6,7,5] => [1,3,2,8,6,7,5,4]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,4,3,1,8,7,6,5] => [1,3,2,8,7,6,5,4]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,4,3,5,1,6,7,8] => [1,3,2,4,6,7,8,5]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [2,4,3,5,1,6,8,7] => [1,3,2,4,6,8,7,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,4,3,5,1,7,6,8] => [1,3,2,4,7,6,8,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,4,3,5,1,7,8,6] => [1,3,2,4,8,6,7,5]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,4,3,5,1,8,7,6] => [1,3,2,4,8,7,6,5]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,4,3,5,6,1,7,8] => [1,3,2,4,5,7,8,6]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,4,3,5,6,1,8,7] => [1,3,2,4,5,8,7,6]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,4,3,5,6,7,1,8] => [1,3,2,4,5,6,8,7]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,4,3,5,6,7,8,1] => [1,3,2,4,5,6,7,8]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,4,3,5,6,8,7,1] => [1,3,2,4,5,7,6,8]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,4,3,5,7,6,1,8] => [1,3,2,4,6,5,8,7]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,4,3,5,7,6,8,1] => [1,3,2,4,6,5,7,8]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,4,3,5,8,6,7,1] => [1,3,2,4,6,7,5,8]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,4,3,5,8,7,6,1] => [1,3,2,4,7,6,5,8]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,4,3,6,5,1,7,8] => [1,3,2,5,4,7,8,6]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,4,3,6,5,1,8,7] => [1,3,2,5,4,8,7,6]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,4,3,6,5,7,1,8] => [1,3,2,5,4,6,8,7]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,4,3,6,5,7,8,1] => [1,3,2,5,4,6,7,8]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,8,7,1] => [1,3,2,5,4,7,6,8]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,4,3,7,5,6,1,8] => [1,3,2,5,6,4,8,7]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,4,3,7,5,6,8,1] => [1,3,2,5,6,4,7,8]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,4,3,8,5,6,7,1] => [1,3,2,5,6,7,4,8]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,4,3,8,5,7,6,1] => [1,3,2,5,7,6,4,8]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,4,3,7,6,5,1,8] => [1,3,2,6,5,4,8,7]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,4,3,7,6,5,8,1] => [1,3,2,6,5,4,7,8]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,4,3,8,6,5,7,1] => [1,3,2,6,5,7,4,8]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,4,3,8,6,7,5,1] => [1,3,2,7,5,6,4,8]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,4,3,8,7,6,5,1] => [1,3,2,7,6,5,4,8]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,5,3,4,1,6,7,8] => [1,3,4,2,6,7,8,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,5,3,4,1,7,8,6] => [1,3,4,2,8,6,7,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,5,3,4,1,8,7,6] => [1,3,4,2,8,7,6,5]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,5,3,4,6,1,8,7] => [1,3,4,2,5,8,7,6]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,5,3,4,6,7,1,8] => [1,3,4,2,5,6,8,7]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,5,3,4,6,7,8,1] => [1,3,4,2,5,6,7,8]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,5,3,4,6,8,7,1] => [1,3,4,2,5,7,6,8]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,5,3,4,7,6,1,8] => [1,3,4,2,6,5,8,7]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,5,3,4,7,6,8,1] => [1,3,4,2,6,5,7,8]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,5,3,4,8,6,7,1] => [1,3,4,2,6,7,5,8]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,5,3,4,8,7,6,1] => [1,3,4,2,7,6,5,8]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,6,3,4,5,1,7,8] => [1,3,4,5,2,7,8,6]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,6,3,4,5,1,8,7] => [1,3,4,5,2,8,7,6]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,6,3,4,5,7,8,1] => [1,3,4,5,2,6,7,8]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,6,3,4,5,8,7,1] => [1,3,4,5,2,7,6,8]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,7,3,4,5,6,1,8] => [1,3,4,5,6,2,8,7]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,7,3,4,5,6,8,1] => [1,3,4,5,6,2,7,8]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,8,3,4,5,6,7,1] => [1,3,4,5,6,7,2,8]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,8,3,4,5,7,6,1] => [1,3,4,5,7,6,2,8]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,8,3,4,6,7,5,1] => [1,3,4,7,5,6,2,8]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [2,6,3,5,4,1,7,8] => [1,3,5,4,2,7,8,6]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,6,3,5,4,1,8,7] => [1,3,5,4,2,8,7,6]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,6,3,5,4,7,8,1] => [1,3,5,4,2,6,7,8]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,6,3,5,4,8,7,1] => [1,3,5,4,2,7,6,8]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,7,3,5,4,6,1,8] => [1,3,5,4,6,2,8,7]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,7,3,5,4,6,8,1] => [1,3,5,4,6,2,7,8]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,8,3,5,4,6,7,1] => [1,3,5,4,6,7,2,8]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,8,3,5,4,7,6,1] => [1,3,5,4,7,6,2,8]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,7,3,5,6,4,1,8] => [1,3,6,4,5,2,8,7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,7,3,5,6,4,8,1] => [1,3,6,4,5,2,7,8]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,8,3,5,6,7,4,1] => [1,3,7,4,5,6,2,8]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,8,3,5,7,6,4,1] => [1,3,7,4,6,5,2,8]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,7,3,6,5,4,1,8] => [1,3,6,5,4,2,8,7]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,8,3,6,5,4,7,1] => [1,3,6,5,4,7,2,8]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,8,3,6,5,7,4,1] => [1,3,7,5,4,6,2,8]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,8,3,7,5,6,4,1] => [1,3,7,5,6,4,2,8]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,8,3,7,6,5,4,1] => [1,3,7,6,5,4,2,8]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,5,4,3,1,6,7,8] => [1,4,3,2,6,7,8,5]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,5,4,3,1,6,8,7] => [1,4,3,2,6,8,7,5]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,5,4,3,1,7,6,8] => [1,4,3,2,7,6,8,5]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,5,4,3,1,7,8,6] => [1,4,3,2,8,6,7,5]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,5,4,3,1,8,7,6] => [1,4,3,2,8,7,6,5]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [2,5,4,3,6,1,7,8] => [1,4,3,2,5,7,8,6]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,5,4,3,6,1,8,7] => [1,4,3,2,5,8,7,6]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,5,4,3,6,7,1,8] => [1,4,3,2,5,6,8,7]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,5,4,3,6,7,8,1] => [1,4,3,2,5,6,7,8]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,5,4,3,6,8,7,1] => [1,4,3,2,5,7,6,8]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,5,4,3,7,6,1,8] => [1,4,3,2,6,5,8,7]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,5,4,3,7,6,8,1] => [1,4,3,2,6,5,7,8]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,5,4,3,8,6,7,1] => [1,4,3,2,6,7,5,8]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,5,4,3,8,7,6,1] => [1,4,3,2,7,6,5,8]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,6,4,3,5,1,7,8] => [1,4,3,5,2,7,8,6]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,6,4,3,5,1,8,7] => [1,4,3,5,2,8,7,6]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,6,4,3,5,7,8,1] => [1,4,3,5,2,6,7,8]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,6,4,3,5,8,7,1] => [1,4,3,5,2,7,6,8]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,7,4,3,5,6,8,1] => [1,4,3,5,6,2,7,8]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,8,4,3,5,6,7,1] => [1,4,3,5,6,7,2,8]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,8,4,3,5,7,6,1] => [1,4,3,5,7,6,2,8]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,7,4,3,6,5,1,8] => [1,4,3,6,5,2,8,7]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,7,4,3,6,5,8,1] => [1,4,3,6,5,2,7,8]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,8,4,3,6,5,7,1] => [1,4,3,6,5,7,2,8]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,8,4,3,6,7,5,1] => [1,4,3,7,5,6,2,8]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,8,4,3,7,6,5,1] => [1,4,3,7,6,5,2,8]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,6,4,5,3,1,7,8] => [1,5,3,4,2,7,8,6]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,6,4,5,3,1,8,7] => [1,5,3,4,2,8,7,6]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,6,4,5,3,7,8,1] => [1,5,3,4,2,6,7,8]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,6,4,5,3,8,7,1] => [1,5,3,4,2,7,6,8]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,7,4,5,3,6,1,8] => [1,5,3,4,6,2,8,7]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,8,4,5,3,6,7,1] => [1,5,3,4,6,7,2,8]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,7,4,5,6,3,1,8] => [1,6,3,4,5,2,8,7]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,7,4,5,6,3,8,1] => [1,6,3,4,5,2,7,8]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,8,4,5,6,3,7,1] => [1,6,3,4,5,7,2,8]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,8,4,5,6,7,3,1] => [1,7,3,4,5,6,2,8]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,7,4,6,5,3,1,8] => [1,6,3,5,4,2,8,7]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,7,4,6,5,3,8,1] => [1,6,3,5,4,2,7,8]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,8,4,6,5,3,7,1] => [1,6,3,5,4,7,2,8]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,8,4,6,5,7,3,1] => [1,7,3,5,4,6,2,8]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,8,4,7,5,6,3,1] => [1,7,3,5,6,4,2,8]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,8,4,7,6,5,3,1] => [1,7,3,6,5,4,2,8]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,6,5,4,3,1,8,7] => [1,5,4,3,2,8,7,6]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,6,5,4,3,7,1,8] => [1,5,4,3,2,6,8,7]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,6,5,4,3,7,8,1] => [1,5,4,3,2,6,7,8]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,6,5,4,3,8,7,1] => [1,5,4,3,2,7,6,8]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,7,5,4,3,6,1,8] => [1,5,4,3,6,2,8,7]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,7,5,4,3,6,8,1] => [1,5,4,3,6,2,7,8]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,8,5,4,3,6,7,1] => [1,5,4,3,6,7,2,8]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,8,5,4,3,7,6,1] => [1,5,4,3,7,6,2,8]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,7,5,4,6,3,8,1] => [1,6,4,3,5,2,7,8]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,8,5,4,6,3,7,1] => [1,6,4,3,5,7,2,8]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,8,5,4,6,7,3,1] => [1,7,4,3,5,6,2,8]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,8,5,4,7,6,3,1] => [1,7,4,3,6,5,2,8]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,7,6,4,5,3,8,1] => [1,6,4,5,3,2,7,8]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,8,6,4,5,3,7,1] => [1,6,4,5,3,7,2,8]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,8,6,4,5,7,3,1] => [1,7,4,5,3,6,2,8]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,8,7,4,5,6,3,1] => [1,7,4,5,6,3,2,8]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,8,7,4,6,5,3,1] => [1,7,4,6,5,3,2,8]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,7,6,5,4,3,1,8] => [1,6,5,4,3,2,8,7]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,7,6,5,4,3,8,1] => [1,6,5,4,3,2,7,8]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,8,6,5,4,3,7,1] => [1,6,5,4,3,7,2,8]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,8,6,5,4,7,3,1] => [1,7,5,4,3,6,2,8]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,8,7,5,4,6,3,1] => [1,7,5,4,6,3,2,8]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,8,7,5,6,4,3,1] => [1,7,6,4,5,3,2,8]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,8,7,6,5,4,3,1] => [1,7,6,5,4,3,2,8]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => [2,1,4,5,6,7,8,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,2,1,4,5,6,8,7] => [2,1,4,5,6,8,7,3]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [3,2,1,4,5,7,6,8] => [2,1,4,5,7,6,8,3]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [3,2,1,4,5,7,8,6] => [2,1,4,5,8,6,7,3]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => [2,1,4,5,8,7,6,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [3,2,1,4,6,5,7,8] => [2,1,4,6,5,7,8,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [3,2,1,4,6,5,8,7] => [2,1,4,6,5,8,7,3]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [3,2,1,4,6,7,5,8] => [2,1,4,7,5,6,8,3]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,2,1,4,6,7,8,5] => [2,1,4,8,5,6,7,3]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [3,2,1,4,6,8,7,5] => [2,1,4,8,5,7,6,3]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [3,2,1,4,7,6,5,8] => [2,1,4,7,6,5,8,3]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [3,2,1,4,7,6,8,5] => [2,1,4,8,6,5,7,3]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,2,1,4,8,6,7,5] => [2,1,4,8,6,7,5,3]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,2,1,4,8,7,6,5] => [2,1,4,8,7,6,5,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,5,4,6,7,8] => [2,1,5,4,6,7,8,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,5,4,6,8,7] => [2,1,5,4,6,8,7,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,1,5,4,7,6,8] => [2,1,5,4,7,6,8,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,1,5,4,7,8,6] => [2,1,5,4,8,6,7,3]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,1,5,4,8,7,6] => [2,1,5,4,8,7,6,3]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [3,2,1,5,6,4,7,8] => [2,1,6,4,5,7,8,3]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [3,2,1,5,6,4,8,7] => [2,1,6,4,5,8,7,3]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [3,2,1,5,6,7,4,8] => [2,1,7,4,5,6,8,3]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,2,1,5,6,7,8,4] => [2,1,8,4,5,6,7,3]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,2,1,5,6,8,7,4] => [2,1,8,4,5,7,6,3]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,2,1,5,7,6,4,8] => [2,1,7,4,6,5,8,3]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [3,2,1,5,7,6,8,4] => [2,1,8,4,6,5,7,3]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,2,1,5,8,6,7,4] => [2,1,8,4,6,7,5,3]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,2,1,5,8,7,6,4] => [2,1,8,4,7,6,5,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [3,2,1,6,5,4,7,8] => [2,1,6,5,4,7,8,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,2,1,6,5,4,8,7] => [2,1,6,5,4,8,7,3]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [3,2,1,6,5,7,4,8] => [2,1,7,5,4,6,8,3]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [3,2,1,6,5,7,8,4] => [2,1,8,5,4,6,7,3]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => [2,1,8,5,4,7,6,3]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [3,2,1,7,5,6,4,8] => [2,1,7,5,6,4,8,3]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,2,1,7,5,6,8,4] => [2,1,8,5,6,4,7,3]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,8,5,6,7,4] => [2,1,8,5,6,7,4,3]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,2,1,8,5,7,6,4] => [2,1,8,5,7,6,4,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,2,1,7,6,5,4,8] => [2,1,7,6,5,4,8,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,2,1,7,6,5,8,4] => [2,1,8,6,5,4,7,3]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,2,1,8,6,5,7,4] => [2,1,8,6,5,7,4,3]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,2,1,8,6,7,5,4] => [2,1,8,7,5,6,4,3]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => [2,1,8,7,6,5,4,3]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7,8] => [2,1,3,5,6,7,8,4]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [3,2,4,1,5,6,8,7] => [2,1,3,5,6,8,7,4]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [3,2,4,1,5,7,6,8] => [2,1,3,5,7,6,8,4]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [3,2,4,1,5,7,8,6] => [2,1,3,5,8,6,7,4]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [3,2,4,1,5,8,7,6] => [2,1,3,5,8,7,6,4]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [3,2,4,1,6,5,7,8] => [2,1,3,6,5,7,8,4]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7] => [2,1,3,6,5,8,7,4]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [3,2,4,1,6,7,5,8] => [2,1,3,7,5,6,8,4]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [3,2,4,1,6,7,8,5] => [2,1,3,8,5,6,7,4]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => [2,1,3,8,5,7,6,4]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [3,2,4,1,7,6,5,8] => [2,1,3,7,6,5,8,4]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => [2,1,3,8,6,5,7,4]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [3,2,4,1,8,6,7,5] => [2,1,3,8,6,7,5,4]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [3,2,4,1,8,7,6,5] => [2,1,3,8,7,6,5,4]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [3,2,4,5,1,6,7,8] => [2,1,3,4,6,7,8,5]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [3,2,4,5,1,6,8,7] => [2,1,3,4,6,8,7,5]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [3,2,4,5,1,7,8,6] => [2,1,3,4,8,6,7,5]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [3,2,4,5,1,8,7,6] => [2,1,3,4,8,7,6,5]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [3,2,4,5,6,1,7,8] => [2,1,3,4,5,7,8,6]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,7,1,8] => [2,1,3,4,5,6,8,7]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => [2,1,3,4,5,6,7,8]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [3,2,4,5,6,8,7,1] => [2,1,3,4,5,7,6,8]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [3,2,4,5,7,6,1,8] => [2,1,3,4,6,5,8,7]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [3,2,4,5,7,6,8,1] => [2,1,3,4,6,5,7,8]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [3,2,4,5,8,6,7,1] => [2,1,3,4,6,7,5,8]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [3,2,4,6,5,1,8,7] => [2,1,3,5,4,8,7,6]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [3,2,4,6,5,7,1,8] => [2,1,3,5,4,6,8,7]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [3,2,4,6,5,8,7,1] => [2,1,3,5,4,7,6,8]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [3,2,4,7,5,6,1,8] => [2,1,3,5,6,4,8,7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [3,2,4,7,5,6,8,1] => [2,1,3,5,6,4,7,8]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [3,2,4,8,5,6,7,1] => [2,1,3,5,6,7,4,8]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [3,2,4,8,5,7,6,1] => [2,1,3,5,7,6,4,8]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [3,2,4,7,6,5,1,8] => [2,1,3,6,5,4,8,7]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [3,2,4,7,6,5,8,1] => [2,1,3,6,5,4,7,8]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [3,2,4,8,6,5,7,1] => [2,1,3,6,5,7,4,8]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,8,6,7,5,1] => [2,1,3,7,5,6,4,8]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,2,4,8,7,6,5,1] => [2,1,3,7,6,5,4,8]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [3,2,5,4,1,6,7,8] => [2,1,4,3,6,7,8,5]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [3,2,5,4,1,6,8,7] => [2,1,4,3,6,8,7,5]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [3,2,5,4,1,7,6,8] => [2,1,4,3,7,6,8,5]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [3,2,5,4,1,7,8,6] => [2,1,4,3,8,6,7,5]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => [2,1,4,3,8,7,6,5]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [3,2,5,4,6,1,7,8] => [2,1,4,3,5,7,8,6]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => [2,1,4,3,5,8,7,6]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [3,2,5,4,6,7,1,8] => [2,1,4,3,5,6,8,7]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [3,2,5,4,6,7,8,1] => [2,1,4,3,5,6,7,8]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [3,2,5,4,6,8,7,1] => [2,1,4,3,5,7,6,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => [2,1,4,3,6,5,8,7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => [2,1,4,3,6,5,7,8]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [3,2,5,4,8,6,7,1] => [2,1,4,3,6,7,5,8]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [3,2,6,4,5,1,7,8] => [2,1,4,5,3,7,8,6]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [3,2,6,4,5,1,8,7] => [2,1,4,5,3,8,7,6]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [3,2,6,4,5,7,1,8] => [2,1,4,5,3,6,8,7]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [3,2,7,4,5,6,1,8] => [2,1,4,5,6,3,8,7]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [3,2,8,4,5,6,7,1] => [2,1,4,5,6,7,3,8]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [3,2,7,4,6,5,1,8] => [2,1,4,6,5,3,8,7]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [3,2,7,4,6,5,8,1] => [2,1,4,6,5,3,7,8]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [3,2,8,4,6,5,7,1] => [2,1,4,6,5,7,3,8]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [3,2,6,5,4,1,8,7] => [2,1,5,4,3,8,7,6]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [3,2,6,5,4,7,1,8] => [2,1,5,4,3,6,8,7]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => [2,1,5,4,3,7,6,8]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [3,2,7,5,4,6,1,8] => [2,1,5,4,6,3,8,7]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [3,2,8,5,4,6,7,1] => [2,1,5,4,6,7,3,8]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [3,2,8,5,4,7,6,1] => [2,1,5,4,7,6,3,8]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [3,2,7,5,6,4,1,8] => [2,1,6,4,5,3,8,7]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [3,2,7,5,6,4,8,1] => [2,1,6,4,5,3,7,8]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [3,2,8,5,6,4,7,1] => [2,1,6,4,5,7,3,8]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [3,2,8,5,6,7,4,1] => [2,1,7,4,5,6,3,8]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [3,2,8,5,7,6,4,1] => [2,1,7,4,6,5,3,8]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => [2,1,6,5,4,3,8,7]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [3,2,7,6,5,4,8,1] => [2,1,6,5,4,3,7,8]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [3,2,8,6,5,4,7,1] => [2,1,6,5,4,7,3,8]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [3,2,8,6,5,7,4,1] => [2,1,7,5,4,6,3,8]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,2,8,7,5,6,4,1] => [2,1,7,5,6,4,3,8]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,2,8,7,6,5,4,1] => [2,1,7,6,5,4,3,8]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,2,3,1,5,6,7,8] => [2,3,1,5,6,7,8,4]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [4,2,3,1,5,6,8,7] => [2,3,1,5,6,8,7,4]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [4,2,3,1,5,7,6,8] => [2,3,1,5,7,6,8,4]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [4,2,3,1,5,7,8,6] => [2,3,1,5,8,6,7,4]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [4,2,3,1,5,8,7,6] => [2,3,1,5,8,7,6,4]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,2,3,1,6,5,7,8] => [2,3,1,6,5,7,8,4]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,3,1,6,5,8,7] => [2,3,1,6,5,8,7,4]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [4,2,3,1,6,7,5,8] => [2,3,1,7,5,6,8,4]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,2,3,1,6,7,8,5] => [2,3,1,8,5,6,7,4]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [4,2,3,1,6,8,7,5] => [2,3,1,8,5,7,6,4]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,2,3,1,7,6,5,8] => [2,3,1,7,6,5,8,4]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [4,2,3,1,7,6,8,5] => [2,3,1,8,6,5,7,4]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => [2,3,1,8,6,7,5,4]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,2,3,1,8,7,6,5] => [2,3,1,8,7,6,5,4]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [4,2,3,5,1,6,7,8] => [2,3,1,4,6,7,8,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [4,2,3,5,1,6,8,7] => [2,3,1,4,6,8,7,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,2,3,5,1,7,8,6] => [2,3,1,4,8,6,7,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [4,2,3,5,1,8,7,6] => [2,3,1,4,8,7,6,5]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [4,2,3,5,6,1,7,8] => [2,3,1,4,5,7,8,6]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [4,2,3,5,6,1,8,7] => [2,3,1,4,5,8,7,6]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [4,2,3,5,6,7,1,8] => [2,3,1,4,5,6,8,7]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => [2,3,1,4,5,6,7,8]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [4,2,3,5,6,8,7,1] => [2,3,1,4,5,7,6,8]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [4,2,3,5,7,6,1,8] => [2,3,1,4,6,5,8,7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [4,2,3,5,7,6,8,1] => [2,3,1,4,6,5,7,8]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [4,2,3,5,8,7,6,1] => [2,3,1,4,7,6,5,8]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [4,2,3,6,5,1,7,8] => [2,3,1,5,4,7,8,6]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [4,2,3,6,5,1,8,7] => [2,3,1,5,4,8,7,6]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [4,2,3,6,5,8,7,1] => [2,3,1,5,4,7,6,8]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [4,2,3,7,5,6,1,8] => [2,3,1,5,6,4,8,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [4,2,3,7,5,6,8,1] => [2,3,1,5,6,4,7,8]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [4,2,3,8,5,6,7,1] => [2,3,1,5,6,7,4,8]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [4,2,3,8,5,7,6,1] => [2,3,1,5,7,6,4,8]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [4,2,3,7,6,5,1,8] => [2,3,1,6,5,4,8,7]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [4,2,3,7,6,5,8,1] => [2,3,1,6,5,4,7,8]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [4,2,3,8,6,5,7,1] => [2,3,1,6,5,7,4,8]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [4,2,3,8,6,7,5,1] => [2,3,1,7,5,6,4,8]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [4,2,3,8,7,6,5,1] => [2,3,1,7,6,5,4,8]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [5,2,3,4,1,6,7,8] => [2,3,4,1,6,7,8,5]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [5,2,3,4,1,6,8,7] => [2,3,4,1,6,8,7,5]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [5,2,3,4,1,7,6,8] => [2,3,4,1,7,6,8,5]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [5,2,3,4,1,7,8,6] => [2,3,4,1,8,6,7,5]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [5,2,3,4,1,8,7,6] => [2,3,4,1,8,7,6,5]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [5,2,3,4,6,1,7,8] => [2,3,4,1,5,7,8,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [5,2,3,4,6,1,8,7] => [2,3,4,1,5,8,7,6]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [5,2,3,4,6,7,1,8] => [2,3,4,1,5,6,8,7]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => [2,3,4,1,5,6,7,8]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [5,2,3,4,6,8,7,1] => [2,3,4,1,5,7,6,8]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [5,2,3,4,7,6,1,8] => [2,3,4,1,6,5,8,7]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [5,2,3,4,8,6,7,1] => [2,3,4,1,6,7,5,8]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [5,2,3,4,8,7,6,1] => [2,3,4,1,7,6,5,8]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [6,2,3,4,5,1,7,8] => [2,3,4,5,1,7,8,6]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [6,2,3,4,5,1,8,7] => [2,3,4,5,1,8,7,6]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [6,2,3,4,5,7,1,8] => [2,3,4,5,1,6,8,7]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [6,2,3,4,5,7,8,1] => [2,3,4,5,1,6,7,8]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [6,2,3,4,5,8,7,1] => [2,3,4,5,1,7,6,8]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,1,8,7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,1,7,8]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,1,8]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,6,1,8]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [7,2,3,4,6,5,1,8] => [2,3,4,6,5,1,8,7]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [7,2,3,4,6,5,8,1] => [2,3,4,6,5,1,7,8]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [8,2,3,4,6,5,7,1] => [2,3,4,6,5,7,1,8]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [8,2,3,4,6,7,5,1] => [2,3,4,7,5,6,1,8]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [8,2,3,4,7,6,5,1] => [2,3,4,7,6,5,1,8]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [6,2,3,5,4,1,7,8] => [2,3,5,4,1,7,8,6]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [6,2,3,5,4,1,8,7] => [2,3,5,4,1,8,7,6]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [6,2,3,5,4,7,1,8] => [2,3,5,4,1,6,8,7]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [6,2,3,5,4,7,8,1] => [2,3,5,4,1,6,7,8]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [6,2,3,5,4,8,7,1] => [2,3,5,4,1,7,6,8]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [7,2,3,5,4,6,1,8] => [2,3,5,4,6,1,8,7]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [8,2,3,5,4,6,7,1] => [2,3,5,4,6,7,1,8]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [8,2,3,5,4,7,6,1] => [2,3,5,4,7,6,1,8]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [7,2,3,5,6,4,1,8] => [2,3,6,4,5,1,8,7]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [7,2,3,5,6,4,8,1] => [2,3,6,4,5,1,7,8]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [8,2,3,5,6,4,7,1] => [2,3,6,4,5,7,1,8]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [8,2,3,5,6,7,4,1] => [2,3,7,4,5,6,1,8]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [8,2,3,5,7,6,4,1] => [2,3,7,4,6,5,1,8]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [7,2,3,6,5,4,1,8] => [2,3,6,5,4,1,8,7]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [8,2,3,6,5,4,7,1] => [2,3,6,5,4,7,1,8]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [8,2,3,6,5,7,4,1] => [2,3,7,5,4,6,1,8]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [8,2,3,7,5,6,4,1] => [2,3,7,5,6,4,1,8]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [8,2,3,7,6,5,4,1] => [2,3,7,6,5,4,1,8]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [5,2,4,3,1,6,7,8] => [2,4,3,1,6,7,8,5]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [5,2,4,3,1,6,8,7] => [2,4,3,1,6,8,7,5]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [5,2,4,3,1,7,6,8] => [2,4,3,1,7,6,8,5]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [5,2,4,3,1,7,8,6] => [2,4,3,1,8,6,7,5]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [5,2,4,3,1,8,7,6] => [2,4,3,1,8,7,6,5]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [5,2,4,3,6,1,7,8] => [2,4,3,1,5,7,8,6]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [5,2,4,3,6,1,8,7] => [2,4,3,1,5,8,7,6]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [5,2,4,3,6,7,1,8] => [2,4,3,1,5,6,8,7]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [5,2,4,3,6,7,8,1] => [2,4,3,1,5,6,7,8]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [5,2,4,3,7,6,1,8] => [2,4,3,1,6,5,8,7]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [5,2,4,3,7,6,8,1] => [2,4,3,1,6,5,7,8]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [5,2,4,3,8,7,6,1] => [2,4,3,1,7,6,5,8]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [6,2,4,3,5,1,8,7] => [2,4,3,5,1,8,7,6]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [6,2,4,3,5,8,7,1] => [2,4,3,5,1,7,6,8]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [7,2,4,3,5,6,8,1] => [2,4,3,5,6,1,7,8]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [8,2,4,3,5,6,7,1] => [2,4,3,5,6,7,1,8]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [8,2,4,3,5,7,6,1] => [2,4,3,5,7,6,1,8]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [7,2,4,3,6,5,1,8] => [2,4,3,6,5,1,8,7]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [7,2,4,3,6,5,8,1] => [2,4,3,6,5,1,7,8]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [8,2,4,3,6,5,7,1] => [2,4,3,6,5,7,1,8]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [8,2,4,3,6,7,5,1] => [2,4,3,7,5,6,1,8]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [8,2,4,3,7,6,5,1] => [2,4,3,7,6,5,1,8]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [6,2,4,5,3,1,7,8] => [2,5,3,4,1,7,8,6]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [6,2,4,5,3,1,8,7] => [2,5,3,4,1,8,7,6]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [6,2,4,5,3,7,1,8] => [2,5,3,4,1,6,8,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [6,2,4,5,3,7,8,1] => [2,5,3,4,1,6,7,8]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [6,2,4,5,3,8,7,1] => [2,5,3,4,1,7,6,8]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [7,2,4,5,3,6,1,8] => [2,5,3,4,6,1,8,7]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [7,2,4,5,3,6,8,1] => [2,5,3,4,6,1,7,8]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [8,2,4,5,3,6,7,1] => [2,5,3,4,6,7,1,8]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [8,2,4,5,3,7,6,1] => [2,5,3,4,7,6,1,8]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [7,2,4,5,6,3,1,8] => [2,6,3,4,5,1,8,7]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [7,2,4,5,6,3,8,1] => [2,6,3,4,5,1,7,8]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [8,2,4,5,6,3,7,1] => [2,6,3,4,5,7,1,8]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [8,2,4,5,6,7,3,1] => [2,7,3,4,5,6,1,8]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [8,2,4,5,7,6,3,1] => [2,7,3,4,6,5,1,8]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [7,2,4,6,5,3,1,8] => [2,6,3,5,4,1,8,7]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [7,2,4,6,5,3,8,1] => [2,6,3,5,4,1,7,8]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [8,2,4,6,5,3,7,1] => [2,6,3,5,4,7,1,8]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [8,2,4,6,5,7,3,1] => [2,7,3,5,4,6,1,8]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8,2,4,7,5,6,3,1] => [2,7,3,5,6,4,1,8]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [8,2,4,7,6,5,3,1] => [2,7,3,6,5,4,1,8]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [6,2,5,4,3,1,7,8] => [2,5,4,3,1,7,8,6]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [6,2,5,4,3,1,8,7] => [2,5,4,3,1,8,7,6]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [6,2,5,4,3,7,1,8] => [2,5,4,3,1,6,8,7]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [6,2,5,4,3,7,8,1] => [2,5,4,3,1,6,7,8]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [6,2,5,4,3,8,7,1] => [2,5,4,3,1,7,6,8]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [7,2,5,4,3,6,1,8] => [2,5,4,3,6,1,8,7]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [7,2,5,4,3,6,8,1] => [2,5,4,3,6,1,7,8]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [8,2,5,4,3,6,7,1] => [2,5,4,3,6,7,1,8]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [8,2,5,4,3,7,6,1] => [2,5,4,3,7,6,1,8]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [7,2,5,4,6,3,1,8] => [2,6,4,3,5,1,8,7]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [7,2,5,4,6,3,8,1] => [2,6,4,3,5,1,7,8]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [8,2,5,4,6,3,7,1] => [2,6,4,3,5,7,1,8]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [8,2,5,4,6,7,3,1] => [2,7,4,3,5,6,1,8]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [8,2,5,4,7,6,3,1] => [2,7,4,3,6,5,1,8]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,6,4,5,3,1,8] => [2,6,4,5,3,1,8,7]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [7,2,6,4,5,3,8,1] => [2,6,4,5,3,1,7,8]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [8,2,6,4,5,3,7,1] => [2,6,4,5,3,7,1,8]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [8,2,6,4,5,7,3,1] => [2,7,4,5,3,6,1,8]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [8,2,7,4,5,6,3,1] => [2,7,4,5,6,3,1,8]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => [2,7,4,6,5,3,1,8]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [7,2,6,5,4,3,1,8] => [2,6,5,4,3,1,8,7]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [7,2,6,5,4,3,8,1] => [2,6,5,4,3,1,7,8]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [8,2,6,5,4,3,7,1] => [2,6,5,4,3,7,1,8]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [8,2,6,5,4,7,3,1] => [2,7,5,4,3,6,1,8]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [8,2,7,5,4,6,3,1] => [2,7,5,4,6,3,1,8]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [8,2,7,5,6,4,3,1] => [2,7,6,4,5,3,1,8]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [8,2,7,6,5,4,3,1] => [2,7,6,5,4,3,1,8]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => [3,2,1,5,6,7,8,4]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,3,2,1,5,6,8,7] => [3,2,1,5,6,8,7,4]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,3,2,1,5,7,6,8] => [3,2,1,5,7,6,8,4]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,3,2,1,5,7,8,6] => [3,2,1,5,8,6,7,4]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,3,2,1,5,8,7,6] => [3,2,1,5,8,7,6,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [4,3,2,1,6,5,7,8] => [3,2,1,6,5,7,8,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => [3,2,1,6,5,8,7,4]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [4,3,2,1,6,7,5,8] => [3,2,1,7,5,6,8,4]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,3,2,1,6,7,8,5] => [3,2,1,8,5,6,7,4]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [4,3,2,1,6,8,7,5] => [3,2,1,8,5,7,6,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,3,2,1,7,6,5,8] => [3,2,1,7,6,5,8,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,3,2,1,7,6,8,5] => [3,2,1,8,6,5,7,4]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,3,2,1,8,6,7,5] => [3,2,1,8,6,7,5,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => [3,2,1,8,7,6,5,4]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [4,3,2,5,1,6,7,8] => [3,2,1,4,6,7,8,5]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [4,3,2,5,1,6,8,7] => [3,2,1,4,6,8,7,5]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [4,3,2,5,1,7,6,8] => [3,2,1,4,7,6,8,5]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,3,2,5,1,7,8,6] => [3,2,1,4,8,6,7,5]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [4,3,2,5,1,8,7,6] => [3,2,1,4,8,7,6,5]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [4,3,2,5,6,1,7,8] => [3,2,1,4,5,7,8,6]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [4,3,2,5,6,1,8,7] => [3,2,1,4,5,8,7,6]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [4,3,2,5,6,7,1,8] => [3,2,1,4,5,6,8,7]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => [3,2,1,4,5,6,7,8]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [4,3,2,5,6,8,7,1] => [3,2,1,4,5,7,6,8]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [4,3,2,5,7,6,1,8] => [3,2,1,4,6,5,8,7]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [4,3,2,5,7,6,8,1] => [3,2,1,4,6,5,7,8]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [4,3,2,5,8,7,6,1] => [3,2,1,4,7,6,5,8]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [4,3,2,6,5,1,7,8] => [3,2,1,5,4,7,8,6]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [4,3,2,6,5,1,8,7] => [3,2,1,5,4,8,7,6]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [4,3,2,6,5,7,1,8] => [3,2,1,5,4,6,8,7]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [4,3,2,6,5,7,8,1] => [3,2,1,5,4,6,7,8]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [4,3,2,6,5,8,7,1] => [3,2,1,5,4,7,6,8]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,3,2,7,5,6,1,8] => [3,2,1,5,6,4,8,7]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => [3,2,1,5,6,4,7,8]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [4,3,2,8,5,6,7,1] => [3,2,1,5,6,7,4,8]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => [3,2,1,5,7,6,4,8]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [4,3,2,7,6,5,1,8] => [3,2,1,6,5,4,8,7]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [4,3,2,7,6,5,8,1] => [3,2,1,6,5,4,7,8]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [4,3,2,8,6,5,7,1] => [3,2,1,6,5,7,4,8]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,3,2,8,6,7,5,1] => [3,2,1,7,5,6,4,8]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,3,2,8,7,6,5,1] => [3,2,1,7,6,5,4,8]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [5,3,2,4,1,6,7,8] => [3,2,4,1,6,7,8,5]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [5,3,2,4,1,6,8,7] => [3,2,4,1,6,8,7,5]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [5,3,2,4,1,7,6,8] => [3,2,4,1,7,6,8,5]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [5,3,2,4,1,7,8,6] => [3,2,4,1,8,6,7,5]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [5,3,2,4,1,8,7,6] => [3,2,4,1,8,7,6,5]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [5,3,2,4,6,1,7,8] => [3,2,4,1,5,7,8,6]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,3,2,4,6,1,8,7] => [3,2,4,1,5,8,7,6]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [5,3,2,4,6,7,1,8] => [3,2,4,1,5,6,8,7]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [5,3,2,4,6,7,8,1] => [3,2,4,1,5,6,7,8]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [6,3,2,4,5,1,7,8] => [3,2,4,5,1,7,8,6]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [6,3,2,4,5,1,8,7] => [3,2,4,5,1,8,7,6]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [6,3,2,4,5,7,1,8] => [3,2,4,5,1,6,8,7]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [6,3,2,4,5,7,8,1] => [3,2,4,5,1,6,7,8]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [6,3,2,4,5,8,7,1] => [3,2,4,5,1,7,6,8]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [7,3,2,4,5,6,1,8] => [3,2,4,5,6,1,8,7]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [7,3,2,4,5,6,8,1] => [3,2,4,5,6,1,7,8]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [8,3,2,4,5,6,7,1] => [3,2,4,5,6,7,1,8]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [8,3,2,4,5,7,6,1] => [3,2,4,5,7,6,1,8]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [7,3,2,4,6,5,8,1] => [3,2,4,6,5,1,7,8]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [8,3,2,4,6,5,7,1] => [3,2,4,6,5,7,1,8]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [8,3,2,4,6,7,5,1] => [3,2,4,7,5,6,1,8]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [8,3,2,4,7,6,5,1] => [3,2,4,7,6,5,1,8]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [6,3,2,5,4,1,7,8] => [3,2,5,4,1,7,8,6]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => [3,2,5,4,1,8,7,6]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [6,3,2,5,4,7,1,8] => [3,2,5,4,1,6,8,7]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [6,3,2,5,4,7,8,1] => [3,2,5,4,1,6,7,8]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [6,3,2,5,4,8,7,1] => [3,2,5,4,1,7,6,8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [7,3,2,5,4,6,1,8] => [3,2,5,4,6,1,8,7]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [7,3,2,5,4,6,8,1] => [3,2,5,4,6,1,7,8]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [8,3,2,5,4,6,7,1] => [3,2,5,4,6,7,1,8]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [8,3,2,5,4,7,6,1] => [3,2,5,4,7,6,1,8]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [7,3,2,5,6,4,8,1] => [3,2,6,4,5,1,7,8]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [8,3,2,5,6,4,7,1] => [3,2,6,4,5,7,1,8]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [8,3,2,5,6,7,4,1] => [3,2,7,4,5,6,1,8]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [8,3,2,5,7,6,4,1] => [3,2,7,4,6,5,1,8]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [7,3,2,6,5,4,8,1] => [3,2,6,5,4,1,7,8]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [8,3,2,6,5,4,7,1] => [3,2,6,5,4,7,1,8]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [8,3,2,6,5,7,4,1] => [3,2,7,5,4,6,1,8]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [8,3,2,7,5,6,4,1] => [3,2,7,5,6,4,1,8]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => [3,2,7,6,5,4,1,8]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,3,4,2,1,6,7,8] => [4,2,3,1,6,7,8,5]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [5,3,4,2,1,6,8,7] => [4,2,3,1,6,8,7,5]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [5,3,4,2,1,7,6,8] => [4,2,3,1,7,6,8,5]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,3,4,2,1,7,8,6] => [4,2,3,1,8,6,7,5]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [5,3,4,2,1,8,7,6] => [4,2,3,1,8,7,6,5]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [5,3,4,2,6,1,7,8] => [4,2,3,1,5,7,8,6]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [5,3,4,2,6,1,8,7] => [4,2,3,1,5,8,7,6]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [5,3,4,2,6,7,1,8] => [4,2,3,1,5,6,8,7]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [5,3,4,2,6,7,8,1] => [4,2,3,1,5,6,7,8]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [5,3,4,2,7,6,1,8] => [4,2,3,1,6,5,8,7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [5,3,4,2,7,6,8,1] => [4,2,3,1,6,5,7,8]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [5,3,4,2,8,6,7,1] => [4,2,3,1,6,7,5,8]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [6,3,4,2,5,1,7,8] => [4,2,3,5,1,7,8,6]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [6,3,4,2,5,1,8,7] => [4,2,3,5,1,8,7,6]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [6,3,4,2,5,7,1,8] => [4,2,3,5,1,6,8,7]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [6,3,4,2,5,8,7,1] => [4,2,3,5,1,7,6,8]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [8,3,4,2,5,6,7,1] => [4,2,3,5,6,7,1,8]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [8,3,4,2,5,7,6,1] => [4,2,3,5,7,6,1,8]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [7,3,4,2,6,5,1,8] => [4,2,3,6,5,1,8,7]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [7,3,4,2,6,5,8,1] => [4,2,3,6,5,1,7,8]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [8,3,4,2,6,5,7,1] => [4,2,3,6,5,7,1,8]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [8,3,4,2,6,7,5,1] => [4,2,3,7,5,6,1,8]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [8,3,4,2,7,6,5,1] => [4,2,3,7,6,5,1,8]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [6,3,4,5,2,1,7,8] => [5,2,3,4,1,7,8,6]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [6,3,4,5,2,1,8,7] => [5,2,3,4,1,8,7,6]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [6,3,4,5,2,7,1,8] => [5,2,3,4,1,6,8,7]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [6,3,4,5,2,7,8,1] => [5,2,3,4,1,6,7,8]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [6,3,4,5,2,8,7,1] => [5,2,3,4,1,7,6,8]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [7,3,4,5,2,6,1,8] => [5,2,3,4,6,1,8,7]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [7,3,4,5,2,6,8,1] => [5,2,3,4,6,1,7,8]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [8,3,4,5,2,6,7,1] => [5,2,3,4,6,7,1,8]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [8,3,4,5,2,7,6,1] => [5,2,3,4,7,6,1,8]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [7,3,4,5,6,2,1,8] => [6,2,3,4,5,1,8,7]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [7,3,4,5,6,2,8,1] => [6,2,3,4,5,1,7,8]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [8,3,4,5,6,2,7,1] => [6,2,3,4,5,7,1,8]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,3,4,5,6,7,2,1] => [7,2,3,4,5,6,1,8]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [8,3,4,5,7,6,2,1] => [7,2,3,4,6,5,1,8]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [7,3,4,6,5,2,1,8] => [6,2,3,5,4,1,8,7]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [8,3,4,6,5,2,7,1] => [6,2,3,5,4,7,1,8]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [8,3,4,6,5,7,2,1] => [7,2,3,5,4,6,1,8]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [8,3,4,7,5,6,2,1] => [7,2,3,5,6,4,1,8]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [8,3,4,7,6,5,2,1] => [7,2,3,6,5,4,1,8]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [6,3,5,4,2,1,7,8] => [5,2,4,3,1,7,8,6]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [6,3,5,4,2,1,8,7] => [5,2,4,3,1,8,7,6]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [6,3,5,4,2,7,1,8] => [5,2,4,3,1,6,8,7]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [6,3,5,4,2,7,8,1] => [5,2,4,3,1,6,7,8]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [6,3,5,4,2,8,7,1] => [5,2,4,3,1,7,6,8]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [7,3,5,4,2,6,1,8] => [5,2,4,3,6,1,8,7]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [7,3,5,4,2,6,8,1] => [5,2,4,3,6,1,7,8]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [8,3,5,4,2,6,7,1] => [5,2,4,3,6,7,1,8]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [8,3,5,4,2,7,6,1] => [5,2,4,3,7,6,1,8]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [7,3,5,4,6,2,1,8] => [6,2,4,3,5,1,8,7]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [7,3,5,4,6,2,8,1] => [6,2,4,3,5,1,7,8]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [8,3,5,4,6,2,7,1] => [6,2,4,3,5,7,1,8]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [8,3,5,4,6,7,2,1] => [7,2,4,3,5,6,1,8]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [8,3,5,4,7,6,2,1] => [7,2,4,3,6,5,1,8]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [7,3,6,4,5,2,1,8] => [6,2,4,5,3,1,8,7]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [7,3,6,4,5,2,8,1] => [6,2,4,5,3,1,7,8]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [8,3,6,4,5,2,7,1] => [6,2,4,5,3,7,1,8]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [8,3,6,4,5,7,2,1] => [7,2,4,5,3,6,1,8]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [8,3,7,4,5,6,2,1] => [7,2,4,5,6,3,1,8]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => [7,2,4,6,5,3,1,8]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => [6,2,5,4,3,1,8,7]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [7,3,6,5,4,2,8,1] => [6,2,5,4,3,1,7,8]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [8,3,6,5,4,2,7,1] => [6,2,5,4,3,7,1,8]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [8,3,6,5,4,7,2,1] => [7,2,5,4,3,6,1,8]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [8,3,7,5,4,6,2,1] => [7,2,5,4,6,3,1,8]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [8,3,7,5,6,4,2,1] => [7,2,6,4,5,3,1,8]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [8,3,7,6,5,4,2,1] => [7,2,6,5,4,3,1,8]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => [4,3,2,1,6,7,8,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,4,3,2,1,6,8,7] => [4,3,2,1,6,8,7,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,4,3,2,1,7,6,8] => [4,3,2,1,7,6,8,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,4,3,2,1,7,8,6] => [4,3,2,1,8,6,7,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => [4,3,2,1,8,7,6,5]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [5,4,3,2,6,1,7,8] => [4,3,2,1,5,7,8,6]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [5,4,3,2,6,1,8,7] => [4,3,2,1,5,8,7,6]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [5,4,3,2,6,7,1,8] => [4,3,2,1,5,6,8,7]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [5,4,3,2,6,7,8,1] => [4,3,2,1,5,6,7,8]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [5,4,3,2,6,8,7,1] => [4,3,2,1,5,7,6,8]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => [4,3,2,1,6,5,8,7]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [5,4,3,2,7,6,8,1] => [4,3,2,1,6,5,7,8]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [5,4,3,2,8,6,7,1] => [4,3,2,1,6,7,5,8]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [5,4,3,2,8,7,6,1] => [4,3,2,1,7,6,5,8]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [6,4,3,2,5,1,7,8] => [4,3,2,5,1,7,8,6]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [6,4,3,2,5,1,8,7] => [4,3,2,5,1,8,7,6]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [6,4,3,2,5,7,1,8] => [4,3,2,5,1,6,8,7]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [6,4,3,2,5,8,7,1] => [4,3,2,5,1,7,6,8]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [7,4,3,2,5,6,1,8] => [4,3,2,5,6,1,8,7]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [7,4,3,2,5,6,8,1] => [4,3,2,5,6,1,7,8]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [8,4,3,2,5,6,7,1] => [4,3,2,5,6,7,1,8]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [8,4,3,2,5,7,6,1] => [4,3,2,5,7,6,1,8]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [7,4,3,2,6,5,1,8] => [4,3,2,6,5,1,8,7]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [7,4,3,2,6,5,8,1] => [4,3,2,6,5,1,7,8]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [8,4,3,2,6,5,7,1] => [4,3,2,6,5,7,1,8]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [8,4,3,2,6,7,5,1] => [4,3,2,7,5,6,1,8]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [8,4,3,2,7,6,5,1] => [4,3,2,7,6,5,1,8]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [6,4,3,5,2,1,7,8] => [5,3,2,4,1,7,8,6]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [6,4,3,5,2,1,8,7] => [5,3,2,4,1,8,7,6]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [6,4,3,5,2,7,1,8] => [5,3,2,4,1,6,8,7]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [6,4,3,5,2,7,8,1] => [5,3,2,4,1,6,7,8]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [6,4,3,5,2,8,7,1] => [5,3,2,4,1,7,6,8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [7,4,3,5,2,6,1,8] => [5,3,2,4,6,1,8,7]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [7,4,3,5,2,6,8,1] => [5,3,2,4,6,1,7,8]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [8,4,3,5,2,6,7,1] => [5,3,2,4,6,7,1,8]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [8,4,3,5,2,7,6,1] => [5,3,2,4,7,6,1,8]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [7,4,3,5,6,2,1,8] => [6,3,2,4,5,1,8,7]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [8,4,3,5,6,2,7,1] => [6,3,2,4,5,7,1,8]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [8,4,3,5,6,7,2,1] => [7,3,2,4,5,6,1,8]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [8,4,3,5,7,6,2,1] => [7,3,2,4,6,5,1,8]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => [6,3,2,5,4,1,8,7]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [7,4,3,6,5,2,8,1] => [6,3,2,5,4,1,7,8]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [8,4,3,6,5,2,7,1] => [6,3,2,5,4,7,1,8]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [8,4,3,6,5,7,2,1] => [7,3,2,5,4,6,1,8]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [8,4,3,7,5,6,2,1] => [7,3,2,5,6,4,1,8]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [8,4,3,7,6,5,2,1] => [7,3,2,6,5,4,1,8]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,5,3,4,2,1,7,8] => [5,3,4,2,1,7,8,6]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,5,3,4,2,1,8,7] => [5,3,4,2,1,8,7,6]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [6,5,3,4,2,7,8,1] => [5,3,4,2,1,6,7,8]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [6,5,3,4,2,8,7,1] => [5,3,4,2,1,7,6,8]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [7,5,3,4,2,6,1,8] => [5,3,4,2,6,1,8,7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [7,5,3,4,2,6,8,1] => [5,3,4,2,6,1,7,8]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [8,5,3,4,2,6,7,1] => [5,3,4,2,6,7,1,8]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [8,5,3,4,2,7,6,1] => [5,3,4,2,7,6,1,8]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [7,5,3,4,6,2,8,1] => [6,3,4,2,5,1,7,8]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [8,5,3,4,6,2,7,1] => [6,3,4,2,5,7,1,8]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [8,5,3,4,6,7,2,1] => [7,3,4,2,5,6,1,8]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [8,5,3,4,7,6,2,1] => [7,3,4,2,6,5,1,8]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => [6,3,4,5,2,1,8,7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [7,6,3,4,5,2,8,1] => [6,3,4,5,2,1,7,8]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [8,6,3,4,5,2,7,1] => [6,3,4,5,2,7,1,8]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [8,6,3,4,5,7,2,1] => [7,3,4,5,2,6,1,8]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [8,7,3,4,5,6,2,1] => [7,3,4,5,6,2,1,8]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [8,7,3,4,6,5,2,1] => [7,3,4,6,5,2,1,8]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => [6,3,5,4,2,1,8,7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [7,6,3,5,4,2,8,1] => [6,3,5,4,2,1,7,8]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [8,6,3,5,4,2,7,1] => [6,3,5,4,2,7,1,8]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [8,6,3,5,4,7,2,1] => [7,3,5,4,2,6,1,8]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [8,7,3,5,4,6,2,1] => [7,3,5,4,6,2,1,8]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [8,7,3,5,6,4,2,1] => [7,3,6,4,5,2,1,8]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [8,7,3,6,5,4,2,1] => [7,3,6,5,4,2,1,8]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => [5,4,3,2,1,7,8,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => [5,4,3,2,1,8,7,6]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [6,5,4,3,2,7,1,8] => [5,4,3,2,1,6,8,7]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [6,5,4,3,2,7,8,1] => [5,4,3,2,1,6,7,8]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [6,5,4,3,2,8,7,1] => [5,4,3,2,1,7,6,8]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,5,4,3,2,6,1,8] => [5,4,3,2,6,1,8,7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [7,5,4,3,2,6,8,1] => [5,4,3,2,6,1,7,8]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [8,5,4,3,2,6,7,1] => [5,4,3,2,6,7,1,8]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => [5,4,3,2,7,6,1,8]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => [6,4,3,2,5,1,8,7]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [7,5,4,3,6,2,8,1] => [6,4,3,2,5,1,7,8]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [8,5,4,3,6,2,7,1] => [6,4,3,2,5,7,1,8]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [8,5,4,3,6,7,2,1] => [7,4,3,2,5,6,1,8]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [8,5,4,3,7,6,2,1] => [7,4,3,2,6,5,1,8]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => [6,4,3,5,2,1,8,7]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [7,6,4,3,5,2,8,1] => [6,4,3,5,2,1,7,8]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [8,6,4,3,5,2,7,1] => [6,4,3,5,2,7,1,8]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [8,6,4,3,5,7,2,1] => [7,4,3,5,2,6,1,8]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [8,7,4,3,5,6,2,1] => [7,4,3,5,6,2,1,8]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => [7,4,3,6,5,2,1,8]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => [6,5,3,4,2,1,8,7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [7,6,4,5,3,2,8,1] => [6,5,3,4,2,1,7,8]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [8,6,4,5,3,2,7,1] => [6,5,3,4,2,7,1,8]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [8,6,4,5,3,7,2,1] => [7,5,3,4,2,6,1,8]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [8,7,4,5,3,6,2,1] => [7,5,3,4,6,2,1,8]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [8,7,4,5,6,3,2,1] => [7,6,3,4,5,2,1,8]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [8,7,4,6,5,3,2,1] => [7,6,3,5,4,2,1,8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => [6,5,4,3,2,1,8,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => [6,5,4,3,2,1,7,8]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [8,6,5,4,3,2,7,1] => [6,5,4,3,2,7,1,8]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [8,6,5,4,3,7,2,1] => [7,5,4,3,2,6,1,8]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [8,7,5,4,3,6,2,1] => [7,5,4,3,6,2,1,8]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [8,7,5,4,6,3,2,1] => [7,6,4,3,5,2,1,8]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [8,7,6,4,5,3,2,1] => [7,6,4,5,3,2,1,8]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => [7,6,5,4,3,2,1,8]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,7,6,5,4,3,2,1,9] => [7,6,5,4,3,2,1,9,8]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9,8,7,6,5,4,3,2] => [9,8,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,8,7,6,5,4,3,2,1,10] => [8,7,6,5,4,3,2,1,10,9]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [8,7,6,4,5,3,2,1,9] => [7,6,4,5,3,2,1,9,8]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,9,8,7,5,6,4,3,2] => [9,8,7,5,6,4,3,2,1]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10,9,8,7,6,5,4,3,2] => [10,9,8,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [10,9,8,7,6,5,4,3,2,1,11] => [9,8,7,6,5,4,3,2,1,11,10]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [9,8,7,5,6,4,3,2,1,10] => [8,7,6,4,5,3,2,1,10,9]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [8,7,5,4,6,3,2,1,9] => [7,6,4,3,5,2,1,9,8]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [8,7,4,6,5,3,2,1,9] => [7,6,3,5,4,2,1,9,8]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,9,8,6,5,7,4,3,2] => [9,8,7,5,4,6,3,2,1]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,9,8,5,7,6,4,3,2] => [9,8,7,4,6,5,3,2,1]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,10,9,8,6,7,5,4,3,2] => [10,9,8,7,5,6,4,3,2,1]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,11,10,9,8,7,6,5,4,3,2] => [11,10,9,8,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [11,10,9,8,7,6,5,4,3,2,1,12] => [10,9,8,7,6,5,4,3,2,1,12,11]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [9,8,7,5,4,6,3,2,1,10] => [8,7,5,4,6,3,2,1,10,9]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [9,8,7,4,6,5,3,2,1,10] => [8,7,4,6,5,3,2,1,10,9]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [8,7,5,4,3,6,2,1,9] => [7,5,4,3,6,2,1,9,8]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [8,7,3,6,5,4,2,1,9] => [7,3,6,5,4,2,1,9,8]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,9,8,5,6,7,4,3,2] => [9,8,7,4,5,6,3,2,1]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,10,9,8,6,5,7,4,3,2] => [10,9,8,6,5,7,4,3,2,1]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [8,7,4,3,6,5,2,1,9] => [7,4,3,6,5,2,1,9,8]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,3,7,6,5,4,2,1,9] => [7,2,6,5,4,3,1,9,8]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,10,9,8,5,6,7,4,3,2] => [10,9,8,5,6,7,4,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [9,8,6,5,4,3,7,2,1,10] => [8,6,5,4,3,7,2,1,10,9]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,9,8,5,4,6,7,3,2] => [9,8,5,4,6,7,3,2,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [7,6,5,4,3,2,8,1,9] => [6,5,4,3,2,1,7,9,8]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [8,7,3,4,5,6,2,1,9] => [7,3,4,5,6,2,1,9,8]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,8,7,6,5,4,3,1,9] => [1,7,6,5,4,3,2,9,8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [7,6,5,4,3,2,1,9,8] => [6,5,4,3,2,1,9,8,7]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,9,8,4,5,6,7,3,2] => [9,8,4,5,6,7,3,2,1]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,9,8,7,6,5,4,3] => [1,9,8,7,6,5,4,3,2]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,9,8,7,6,5,4,2] => [9,2,8,7,6,5,4,3,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,6,5,4,3,2,1,8,9] => [6,5,4,3,2,1,8,9,7]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,8,7,6,5,4,3,2,9] => [8,7,6,5,4,3,2,9,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [7,6,4,5,3,2,1,9,8] => [6,5,3,4,2,1,9,8,7]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,10,9,5,6,7,8,4,3,2] => [10,9,8,4,5,6,7,3,2,1]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,9,8,6,7,5,4,3] => [1,9,8,7,5,6,4,3,2]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,9,8,7,6,5,4,3] => [2,9,8,7,6,5,4,3,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [8,7,6,5,4,3,2,9,1,10] => [7,6,5,4,3,2,1,8,10,9]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,9,8,7,6,5,4,3,1,10] => [1,8,7,6,5,4,3,2,10,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [8,7,6,5,4,3,2,1,10,9] => [7,6,5,4,3,2,1,10,9,8]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [8,2,7,4,5,6,3,1,9] => [2,7,4,5,6,3,1,9,8]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [7,6,4,3,5,2,1,9,8] => [6,4,3,5,2,1,9,8,7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [7,6,3,5,4,2,1,9,8] => [6,3,5,4,2,1,9,8,7]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,9,3,8,5,6,7,4,2] => [9,3,8,5,6,7,4,2,1]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,1,10,9,8,7,6,5,4,3] => [1,10,9,8,7,6,5,4,3,2]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,3,10,9,8,7,6,5,4,2] => [10,2,9,8,7,6,5,4,3,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [8,7,6,5,4,3,2,1,9,10] => [7,6,5,4,3,2,1,9,10,8]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,9,8,7,6,5,4,3,2,10] => [9,8,7,6,5,4,3,2,10,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [8,7,6,4,5,3,2,1,10,9] => [7,6,4,5,3,2,1,10,9,8]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [7,6,4,3,5,2,1,8,9] => [6,4,3,5,2,1,8,9,7]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,9,5,4,6,7,8,3,2] => [9,8,4,3,5,6,7,2,1]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,1,9,8,5,6,7,4,3] => [1,9,8,5,6,7,4,3,2]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,10,9,8,6,7,5,4,3] => [1,10,9,8,6,7,5,4,3,2]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,10,9,8,7,6,5,4,3] => [2,10,9,8,7,6,5,4,3,1]
[] => [] => []
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,7,9,8,1] => [1,2,3,4,5,6,8,7,9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,5,6,8,7,9,1] => [1,2,3,4,5,7,6,8,9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,5,6,9,7,8,1] => [1,2,3,4,5,7,8,6,9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,5,6,9,8,7,1] => [1,2,3,4,5,8,7,6,9]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,4,5,7,6,8,9,1] => [1,2,3,4,6,5,7,8,9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,4,5,8,6,7,9,1] => [1,2,3,4,6,7,5,8,9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,5,9,6,7,8,1] => [1,2,3,4,6,7,8,5,9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,4,5,9,6,8,7,1] => [1,2,3,4,6,8,7,5,9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,4,5,8,7,6,9,1] => [1,2,3,4,7,6,5,8,9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,4,5,9,7,6,8,1] => [1,2,3,4,7,6,8,5,9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,4,5,9,7,8,6,1] => [1,2,3,4,8,6,7,5,9]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,9,8,7,6,1] => [1,2,3,4,8,7,6,5,9]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,3,4,6,5,7,8,9,1] => [1,2,3,5,4,6,7,8,9]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,4,7,5,6,8,9,1] => [1,2,3,5,6,4,7,8,9]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,4,9,5,6,7,8,1] => [1,2,3,5,6,7,8,4,9]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,4,9,6,5,7,8,1] => [1,2,3,6,5,7,8,4,9]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,4,9,6,7,5,8,1] => [1,2,3,7,5,6,8,4,9]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,4,9,6,7,8,5,1] => [1,2,3,8,5,6,7,4,9]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,3,4,9,7,6,5,8,1] => [1,2,3,7,6,5,8,4,9]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,3,6,4,5,7,8,9,1] => [1,2,4,5,3,6,7,8,9]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,3,7,4,5,6,8,9,1] => [1,2,4,5,6,3,7,8,9]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,9,4,5,6,7,8,1] => [1,2,4,5,6,7,8,3,9]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,3,9,5,4,6,7,8,1] => [1,2,5,4,6,7,8,3,9]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,3,9,5,6,4,7,8,1] => [1,2,6,4,5,7,8,3,9]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,9,5,6,7,8,4,1] => [1,2,8,4,5,6,7,3,9]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,3,9,6,5,4,7,8,1] => [1,2,6,5,4,7,8,3,9]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,9,8,7,6,5,4,1] => [1,2,8,7,6,5,4,3,9]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [2,4,3,5,6,7,8,9,1] => [1,3,2,4,5,6,7,8,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,3,6,5,8,7,9,1] => [1,3,2,5,4,7,6,8,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,3,6,5,9,8,7,1] => [1,3,2,5,4,8,7,6,9]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [2,8,3,4,5,6,7,9,1] => [1,3,4,5,6,7,2,8,9]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,9,3,4,5,6,7,8,1] => [1,3,4,5,6,7,8,2,9]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [2,9,4,3,5,6,7,8,1] => [1,4,3,5,6,7,8,2,9]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [2,9,4,5,3,6,7,8,1] => [1,5,3,4,6,7,8,2,9]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,9,4,5,6,7,8,3,1] => [1,8,3,4,5,6,7,2,9]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [2,9,5,4,3,6,7,8,1] => [1,5,4,3,6,7,8,2,9]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,9,8,4,7,6,5,3,1] => [1,8,4,7,6,5,3,2,9]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,9,8,5,6,7,4,3,1] => [1,8,7,4,5,6,3,2,9]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,9,8,5,7,6,4,3,1] => [1,8,7,4,6,5,3,2,9]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [2,8,7,6,5,4,3,9,1] => [1,7,6,5,4,3,2,8,9]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [2,9,8,6,5,4,7,3,1] => [1,8,6,5,4,7,3,2,9]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,9,8,6,5,7,4,3,1] => [1,8,7,5,4,6,3,2,9]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,9,8,7,5,6,4,3,1] => [1,8,7,5,6,4,3,2,9]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,9,8,7,6,5,4,3,1] => [1,8,7,6,5,4,3,2,9]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,1] => [2,1,3,4,5,6,7,8,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,5,4,7,6,9,8,1] => [2,1,4,3,6,5,8,7,9]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,2,9,4,5,6,7,8,1] => [2,1,4,5,6,7,8,3,9]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,2,9,8,7,6,5,4,1] => [2,1,8,7,6,5,4,3,9]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,9,1] => [2,3,1,4,5,6,7,8,9]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [5,2,3,4,9,6,7,8,1] => [2,3,4,1,6,7,8,5,9]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [7,2,3,4,5,6,9,8,1] => [2,3,4,5,6,1,8,7,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [8,2,3,4,5,6,7,9,1] => [2,3,4,5,6,7,1,8,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,1,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [9,2,3,4,5,6,8,7,1] => [2,3,4,5,6,8,7,1,9]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [9,2,3,4,5,8,7,6,1] => [2,3,4,5,8,7,6,1,9]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [9,2,3,4,8,6,7,5,1] => [2,3,4,8,6,7,5,1,9]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [9,2,3,4,8,7,6,5,1] => [2,3,4,8,7,6,5,1,9]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [9,2,3,8,5,6,7,4,1] => [2,3,8,5,6,7,4,1,9]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [9,2,4,5,6,8,7,3,1] => [2,8,3,4,5,7,6,1,9]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [9,2,7,4,5,6,3,8,1] => [2,7,4,5,6,3,8,1,9]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [9,2,8,4,5,6,7,3,1] => [2,8,4,5,6,7,3,1,9]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [9,2,6,5,4,3,7,8,1] => [2,6,5,4,3,7,8,1,9]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [9,2,7,6,5,4,3,8,1] => [2,7,6,5,4,3,8,1,9]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [9,2,8,7,5,6,4,3,1] => [2,8,7,5,6,4,3,1,9]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [9,2,8,7,6,5,4,3,1] => [2,8,7,6,5,4,3,1,9]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,9,1] => [3,2,1,4,5,6,7,8,9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,8,1,9]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [9,3,2,5,6,7,8,4,1] => [3,2,8,4,5,6,7,1,9]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [9,3,4,2,5,6,7,8,1] => [4,2,3,5,6,7,8,1,9]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [9,3,4,5,2,6,7,8,1] => [5,2,3,4,6,7,8,1,9]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [9,3,4,5,6,2,8,7,1] => [6,2,3,4,5,8,7,1,9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [9,3,4,5,6,7,8,2,1] => [8,2,3,4,5,6,7,1,9]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [9,3,4,5,6,8,7,2,1] => [8,2,3,4,5,7,6,1,9]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [9,3,7,6,5,4,8,2,1] => [8,2,6,5,4,3,7,1,9]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [9,3,8,7,6,5,4,2,1] => [8,2,7,6,5,4,3,1,9]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,6,7,8,9,1] => [4,3,2,1,5,6,7,8,9]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,4,3,2,9,8,7,6,1] => [4,3,2,1,8,7,6,5,9]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [9,4,3,2,5,6,7,8,1] => [4,3,2,5,6,7,8,1,9]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [9,4,3,5,6,7,2,8,1] => [7,3,2,4,5,6,8,1,9]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [9,4,3,5,6,7,8,2,1] => [8,3,2,4,5,6,7,1,9]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [8,5,3,4,6,2,7,9,1] => [6,3,4,2,5,7,1,8,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [9,8,3,4,5,6,7,2,1] => [8,3,4,5,6,7,2,1,9]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [9,8,3,4,5,7,6,2,1] => [8,3,4,5,7,6,2,1,9]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [9,8,3,5,7,6,4,2,1] => [8,3,7,4,6,5,2,1,9]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [8,7,3,6,5,4,2,9,1] => [7,3,6,5,4,2,1,8,9]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [9,8,3,6,5,4,7,2,1] => [8,3,6,5,4,7,2,1,9]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [9,8,3,7,5,6,4,2,1] => [8,3,7,5,6,4,2,1,9]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [9,8,3,7,6,5,4,2,1] => [8,3,7,6,5,4,2,1,9]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [6,5,4,3,2,7,8,9,1] => [5,4,3,2,1,6,7,8,9]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [9,8,4,3,5,6,7,2,1] => [8,4,3,5,6,7,2,1,9]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [9,8,4,3,6,7,5,2,1] => [8,4,3,7,5,6,2,1,9]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [9,8,4,5,3,7,6,2,1] => [8,5,3,4,7,6,2,1,9]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [8,7,4,5,6,3,2,9,1] => [7,6,3,4,5,2,1,8,9]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [9,8,4,5,7,6,3,2,1] => [8,7,3,4,6,5,2,1,9]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [8,7,4,6,5,3,2,9,1] => [7,6,3,5,4,2,1,8,9]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [9,8,4,6,5,7,3,2,1] => [8,7,3,5,4,6,2,1,9]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [9,8,4,7,5,6,3,2,1] => [8,7,3,5,6,4,2,1,9]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [9,8,4,7,6,5,3,2,1] => [8,7,3,6,5,4,2,1,9]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [7,6,5,4,3,2,8,9,1] => [6,5,4,3,2,1,7,8,9]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [7,6,5,4,3,2,9,8,1] => [6,5,4,3,2,1,8,7,9]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [8,6,5,4,3,2,7,9,1] => [6,5,4,3,2,7,1,8,9]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [8,7,5,4,3,6,2,9,1] => [7,5,4,3,6,2,1,8,9]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [8,7,5,4,6,3,2,9,1] => [7,6,4,3,5,2,1,8,9]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [9,8,5,4,6,3,7,2,1] => [8,6,4,3,5,7,2,1,9]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [9,8,5,4,6,7,3,2,1] => [8,7,4,3,5,6,2,1,9]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [8,7,6,4,5,3,2,9,1] => [7,6,4,5,3,2,1,8,9]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [9,8,7,4,5,6,3,2,1] => [8,7,4,5,6,3,2,1,9]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [9,8,7,4,6,5,3,2,1] => [8,7,4,6,5,3,2,1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,7,6,5,4,3,2,9,1] => [7,6,5,4,3,2,1,8,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [9,7,6,5,4,3,2,8,1] => [7,6,5,4,3,2,8,1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [9,7,6,5,4,3,8,2,1] => [8,6,5,4,3,2,7,1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [9,8,6,5,4,3,7,2,1] => [8,6,5,4,3,7,2,1,9]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [9,8,6,5,4,7,3,2,1] => [8,7,5,4,3,6,2,1,9]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [9,8,7,5,4,6,3,2,1] => [8,7,5,4,6,3,2,1,9]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [9,8,7,5,6,4,3,2,1] => [8,7,6,4,5,3,2,1,9]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [9,8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,9,8] => [2,3,4,5,6,7,9,8,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,6,8,9,7] => [2,3,4,5,6,9,7,8,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,5,7,8,9,6] => [2,3,4,5,9,6,7,8,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,4,6,7,8,9,5] => [2,3,4,9,5,6,7,8,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,9,4] => [2,3,9,4,5,6,7,8,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,9,3] => [2,9,3,4,5,6,7,8,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,9,2] => [9,2,3,4,5,6,7,8,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,8,10,9] => [2,3,4,5,6,7,8,10,9,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,6,9,8,7] => [2,3,4,5,6,9,8,7,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,6,7,9,10,8] => [2,3,4,5,6,7,10,8,9,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,4,5,8,7,9,6] => [2,3,4,5,9,7,6,8,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,5,6,8,9,10,7] => [2,3,4,5,6,10,7,8,9,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,3,4,7,6,8,9,5] => [2,3,4,9,6,5,7,8,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,4,5,7,8,9,10,6] => [2,3,4,5,10,6,7,8,9,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,2,3,6,5,7,8,9,4] => [2,3,9,5,4,6,7,8,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,3,4,6,7,8,9,10,5] => [2,3,4,10,5,6,7,8,9,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,2,5,4,6,7,8,9,3] => [2,9,4,3,5,6,7,8,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,9,10,4] => [2,3,10,4,5,6,7,8,9,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,8,9,2] => [9,3,2,4,5,6,7,8,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,9,10,3] => [2,10,3,4,5,6,7,8,9,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,9,10,2] => [10,2,3,4,5,6,7,8,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9,10,11] => [2,3,4,5,6,7,8,9,10,11,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,8,9,11,10] => [2,3,4,5,6,7,8,9,11,10,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,6,7,10,9,8] => [2,3,4,5,6,7,10,9,8,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,6,7,8,10,11,9] => [2,3,4,5,6,7,8,11,9,10,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,4,5,9,7,8,6] => [2,3,4,5,9,7,8,6,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,4,5,9,8,7,6] => [2,3,4,5,9,8,7,6,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,2,6,4,5,7,8,9,3] => [2,9,4,5,3,6,7,8,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,3,7,6,5,8,9,4] => [2,3,9,6,5,4,7,8,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,5,3,4,6,7,8,9,2] => [9,3,4,2,5,6,7,8,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,8,9,10,2] => [10,3,2,4,5,6,7,8,9,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,9,10,11,3] => [2,11,3,4,5,6,7,8,9,10,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,1] => [2,1,3,4,5,6,7,8,9,10]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,9,10,11,2] => [11,2,3,4,5,6,7,8,9,10,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,11,1] => [1,2,3,4,5,6,7,8,9,10,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,6,7,8,11,10,9] => [2,3,4,5,6,7,8,11,10,9,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,6,7,8,9,11,12,10] => [2,3,4,5,6,7,8,9,12,10,11,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,4,5,6,10,8,9,7] => [2,3,4,5,6,10,8,9,7,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,3,4,9,6,7,8,5] => [2,3,4,9,6,7,8,5,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,4,5,6,10,9,8,7] => [2,3,4,5,6,10,9,8,7,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,2,7,4,5,6,8,9,3] => [2,9,4,5,6,3,7,8,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,6,3,4,5,7,8,9,2] => [9,3,4,5,2,6,7,8,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,2,7,4,6,5,8,9,3] => [2,9,4,6,5,3,7,8,1]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,2,3,8,6,7,5,9,4] => [2,3,9,7,5,6,4,8,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,9,10,1] => [2,3,1,4,5,6,7,8,9,10]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,9,10,1] => [3,2,1,4,5,6,7,8,9,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,11,1] => [2,1,3,4,5,6,7,8,9,10,11]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,9,10,11,12,2] => [12,2,3,4,5,6,7,8,9,10,11,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,3,4,5,10,7,8,9,6] => [2,3,4,5,10,7,8,9,6,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,3,9,5,6,7,8,4] => [2,3,9,5,6,7,8,4,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,9,8,7,6,5] => [2,3,4,9,8,7,6,5,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,7,3,4,6,5,8,9,2] => [9,3,4,6,5,2,7,8,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,7,6,5,4,8,9,3] => [2,9,6,5,4,3,7,8,1]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,2,8,4,6,7,5,9,3] => [2,9,4,7,5,6,3,8,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,3,4,10,6,7,8,9,5] => [2,3,4,10,6,7,8,9,5,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,9,4,5,6,7,8,3] => [2,9,4,5,6,7,8,3,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5,10,9,8,7,6] => [2,3,4,5,10,9,8,7,6,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,8,3,4,5,6,7,9,2] => [9,3,4,5,6,7,2,8,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [6,2,3,4,5,7,8,9,10,1] => [2,3,4,5,1,6,7,8,9,10]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,7,3,6,5,4,8,9,2] => [9,3,6,5,4,2,7,8,1]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,8,3,4,6,7,5,9,2] => [9,3,4,7,5,6,2,8,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,2,8,6,5,7,4,9,3] => [2,9,7,5,4,6,3,8,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,6,7,8,9,10,1] => [4,3,2,1,5,6,7,8,9,10]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,3,10,5,6,7,8,9,4] => [2,3,10,5,6,7,8,9,4,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,9,3,4,5,6,7,8,2] => [9,3,4,5,6,7,8,2,1]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,9,8,7,6,5,4] => [2,3,9,8,7,6,5,4,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,8,3,6,5,7,4,9,2] => [9,3,7,5,4,6,2,8,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,9,4,5,6,7,8,3,2] => [9,8,3,4,5,6,7,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,10,4,5,6,7,8,9,3] => [2,10,4,5,6,7,8,9,3,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,10,9,8,7,6,5] => [2,3,4,10,9,8,7,6,5,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [6,5,4,3,2,7,8,9,10,1] => [5,4,3,2,1,6,7,8,9,10]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,10,3,4,5,6,7,8,9,2] => [10,3,4,5,6,7,8,9,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [9,2,3,4,5,6,7,8,10,1] => [2,3,4,5,6,7,8,1,9,10]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,10,4,5,6,7,8,9,3,2] => [10,9,3,4,5,6,7,8,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,6,8,7,9] => [2,3,4,5,6,8,7,9,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,4,5,7,6,8,9] => [2,3,4,5,7,6,8,9,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,4,5,7,6,9,8] => [2,3,4,5,7,6,9,8,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,4,6,5,7,8,9] => [2,3,4,6,5,7,8,9,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,3,4,6,5,7,9,8] => [2,3,4,6,5,7,9,8,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,4,6,5,8,7,9] => [2,3,4,6,5,8,7,9,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3,4,6,5,9,8,7] => [2,3,4,6,5,9,8,7,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,4,7,6,5,9,8] => [2,3,4,7,6,5,9,8,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8,9] => [2,3,5,4,6,7,8,9,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6,9,8] => [2,3,5,4,7,6,9,8,1]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,3,5,4,9,8,7,6] => [2,3,5,4,9,8,7,6,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,3,6,5,4,9,8,7] => [2,3,6,5,4,9,8,7,1]
[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] => [2,4,3,5,6,7,8,9,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,4,3,5,6,7,9,8] => [2,4,3,5,6,7,9,8,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,4,3,5,6,9,8,7] => [2,4,3,5,6,9,8,7,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,6,5,7,8,9] => [2,4,3,6,5,7,8,9,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,8,7,9] => [2,4,3,6,5,8,7,9,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,6,5,9,8,7] => [2,4,3,6,5,9,8,7,1]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,4,3,9,8,7,6,5] => [2,4,3,9,8,7,6,5,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,5,4,3,7,6,9,8] => [2,5,4,3,7,6,9,8,1]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,8,7,6,5,4,3,9] => [2,8,7,6,5,4,3,9,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8,9] => [3,2,4,5,6,7,8,9,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,6,7,9,8] => [3,2,4,5,6,7,9,8,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,6,8,7,9] => [3,2,4,5,6,8,7,9,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,6,9,8,7] => [3,2,4,5,6,9,8,7,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8,9] => [3,2,5,4,6,7,8,9,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,7,6,8,9] => [3,2,5,4,7,6,8,9,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6,9,8] => [3,2,5,4,7,6,9,8,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,5,4,9,8,7,6] => [3,2,5,4,9,8,7,6,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4,9,8,7] => [3,2,6,5,4,9,8,7,1]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,3,2,9,8,7,6,5,4] => [3,2,9,8,7,6,5,4,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,4,3,2,5,6,7,8,9] => [4,3,2,5,6,7,8,9,1]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,4,3,2,9,8,7,6,5] => [4,3,2,9,8,7,6,5,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2,9,8,7,6] => [5,4,3,2,9,8,7,6,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,7,6,5,4,3,2,8,9] => [7,6,5,4,3,2,8,9,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,7,6,5,4,3,2,9,8] => [7,6,5,4,3,2,9,8,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,7,9,8] => [1,3,4,5,6,7,9,8,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,5,6,8,7,9] => [1,3,4,5,6,8,7,9,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,5,6,9,8,7] => [1,3,4,5,6,9,8,7,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7,8,9] => [1,4,3,5,6,7,8,9,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7,8,9] => [1,4,3,6,5,7,8,9,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,8,7,9] => [1,4,3,6,5,8,7,9,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,6,5,9,8,7] => [1,4,3,6,5,9,8,7,2]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,4,3,9,8,7,6,5] => [1,4,3,9,8,7,6,5,2]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,1,5,4,3,9,8,7,6] => [1,5,4,3,9,8,7,6,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,8,7,6,5,4,3,9] => [1,8,7,6,5,4,3,9,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => [2,1,4,5,6,7,8,9,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,2,1,4,5,6,7,9,8] => [2,1,4,5,6,7,9,8,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,2,1,5,4,6,7,8,9] => [2,1,5,4,6,7,8,9,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,1,5,4,7,6,9,8] => [2,1,5,4,7,6,9,8,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,6,5,4,7,8,9] => [2,1,6,5,4,7,8,9,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4,9,8,7] => [2,1,6,5,4,9,8,7,3]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,2,1,9,8,7,6,5,4] => [2,1,9,8,7,6,5,4,3]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => [3,2,1,5,6,7,8,9,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [4,3,2,1,6,5,7,8,9] => [3,2,1,6,5,7,8,9,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,3,2,1,6,5,8,7,9] => [3,2,1,6,5,8,7,9,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [4,3,2,1,7,6,5,8,9] => [3,2,1,7,6,5,8,9,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,3,2,1,7,6,5,9,8] => [3,2,1,7,6,5,9,8,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,8,7,6,5,9] => [3,2,1,8,7,6,5,9,4]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,3,2,1,9,8,7,6,5] => [3,2,1,9,8,7,6,5,4]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => [4,3,2,1,6,7,8,9,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [5,4,3,2,1,7,6,8,9] => [4,3,2,1,7,6,8,9,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [5,4,3,2,1,8,7,6,9] => [4,3,2,1,8,7,6,9,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4,3,2,1,9,8,7,6] => [4,3,2,1,9,8,7,6,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [6,5,4,3,2,1,7,8,9] => [5,4,3,2,1,7,8,9,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [6,5,4,3,2,1,8,7,9] => [5,4,3,2,1,8,7,9,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [6,5,4,3,2,1,9,8,7] => [5,4,3,2,1,9,8,7,6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,6,7,9,8,10] => [2,3,4,5,6,7,9,8,10,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,4,5,6,8,7,9,10] => [2,3,4,5,6,8,7,9,10,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,4,5,6,8,7,10,9] => [2,3,4,5,6,8,7,10,9,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,4,5,7,6,8,9,10] => [2,3,4,5,7,6,8,9,10,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,9,8,10] => [2,3,4,5,7,6,9,8,10,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,3,4,6,5,7,8,9,10] => [2,3,4,6,5,7,8,9,10,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,3,4,6,5,8,7,10,9] => [2,3,4,6,5,8,7,10,9,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8,9,10] => [2,3,5,4,6,7,8,9,10,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,7,6,8,9,10] => [2,3,5,4,7,6,8,9,10,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,9,8,10] => [2,3,5,4,7,6,9,8,10,1]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,10,9,8,7,6,5,4] => [2,3,10,9,8,7,6,5,4,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7,8,9,10] => [2,4,3,5,6,7,8,9,10,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,8,7,10,9] => [2,4,3,6,5,8,7,10,9,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3,10,9,8,7] => [2,6,5,4,3,10,9,8,7,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8,9,10] => [3,2,4,5,6,7,8,9,10,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,6,7,8,10,9] => [3,2,4,5,6,7,8,10,9,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,6,7,9,8,10] => [3,2,4,5,6,7,9,8,10,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8,9,10] => [3,2,5,4,6,7,8,9,10,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,7,6,8,9,10] => [3,2,5,4,7,6,8,9,10,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,9,8,10] => [3,2,5,4,7,6,9,8,10,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,7,6,10,9,8] => [3,2,5,4,7,6,10,9,8,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,2,6,5,4,10,9,8,7] => [3,2,6,5,4,10,9,8,7,1]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,2,10,9,8,7,6,5,4] => [3,2,10,9,8,7,6,5,4,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3,2,7,6,5,10,9,8] => [4,3,2,7,6,5,10,9,8,1]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,4,3,2,10,9,8,7,6,5] => [4,3,2,10,9,8,7,6,5,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,5,4,3,2,10,9,8,7,6] => [5,4,3,2,10,9,8,7,6,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => [1,3,4,5,6,7,8,9,10,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,7,8,10,9] => [1,3,4,5,6,7,8,10,9,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7,8,9,10] => [1,4,3,5,6,7,8,9,10,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7,8,9,10] => [1,4,3,6,5,7,8,9,10,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,5,8,7,9,10] => [1,4,3,6,5,8,7,9,10,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9] => [1,4,3,6,5,8,7,10,9,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,6,5,10,9,8,7] => [1,4,3,6,5,10,9,8,7,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,4,3,7,6,5,10,9,8] => [1,4,3,7,6,5,10,9,8,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3,10,9,8,7] => [1,6,5,4,3,10,9,8,7,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [2,1,8,7,6,5,4,3,10,9] => [1,8,7,6,5,4,3,10,9,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => [2,1,4,5,6,7,8,9,10,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,5,4,6,7,8,9,10] => [2,1,5,4,6,7,8,9,10,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,1,5,4,7,6,9,8,10] => [2,1,5,4,7,6,9,8,10,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,1,6,5,4,8,7,10,9] => [2,1,6,5,4,8,7,10,9,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,2,1,6,5,4,10,9,8,7] => [2,1,6,5,4,10,9,8,7,3]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,2,1,10,9,8,7,6,5,4] => [2,1,10,9,8,7,6,5,4,3]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => [3,2,1,5,6,7,8,9,10,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7,10,9] => [3,2,1,6,5,8,7,10,9,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,6,5,10,9,8,7] => [3,2,1,6,5,10,9,8,7,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [4,3,2,1,7,6,5,10,9,8] => [3,2,1,7,6,5,10,9,8,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,8,7,6,5,9,10] => [3,2,1,8,7,6,5,9,10,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,8,7,6,5,10,9] => [3,2,1,8,7,6,5,10,9,4]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,3,2,1,10,9,8,7,6,5] => [3,2,1,10,9,8,7,6,5,4]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9,10] => [4,3,2,1,6,7,8,9,10,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [5,4,3,2,1,7,6,9,8,10] => [4,3,2,1,7,6,9,8,10,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,3,2,1,9,8,7,6,10] => [4,3,2,1,9,8,7,6,10,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1,10,9,8,7,6] => [4,3,2,1,10,9,8,7,6,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1,7,8,9,10] => [5,4,3,2,1,7,8,9,10,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [6,5,4,3,2,1,9,8,7,10] => [5,4,3,2,1,9,8,7,10,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,5,4,3,2,1,10,9,8,7] => [5,4,3,2,1,10,9,8,7,6]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [7,6,5,4,3,2,1,8,9,10] => [6,5,4,3,2,1,8,9,10,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [7,6,5,4,3,2,1,9,8,10] => [6,5,4,3,2,1,9,8,10,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [7,6,5,4,3,2,1,10,9,8] => [6,5,4,3,2,1,10,9,8,7]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [10,9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1,10]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7,8,9] => [1,2,4,5,6,7,8,9,3]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7,8,9] => [1,2,3,5,6,7,8,9,4]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8,9] => [1,2,3,4,6,7,8,9,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,6,1,7,8,9] => [1,2,3,4,5,7,8,9,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,7,1,8,9] => [1,2,3,4,5,6,8,9,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,1,9] => [1,2,3,4,5,6,7,9,8]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7,8,9,10] => [1,2,4,5,6,7,8,9,10,3]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [2,4,3,1,5,6,7,8,9] => [1,3,2,5,6,7,8,9,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7,8,9,10] => [1,2,3,5,6,7,8,9,10,4]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,3,5,4,1,6,7,8,9] => [1,2,4,3,6,7,8,9,5]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8,9,10] => [1,2,3,4,6,7,8,9,10,5]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,3,4,6,5,1,7,8,9] => [1,2,3,5,4,7,8,9,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1,7,8,9,10] => [1,2,3,4,5,7,8,9,10,6]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,4,5,7,6,1,8,9] => [1,2,3,4,6,5,8,9,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,6,7,1,8,9,10] => [1,2,3,4,5,6,8,9,10,7]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,5,6,8,7,1,9] => [1,2,3,4,5,7,6,9,8]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,7,8,1,9,10] => [1,2,3,4,5,6,7,9,10,8]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,9,1,10] => [1,2,3,4,5,6,7,8,10,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [10,9,3,4,5,6,8,7,2,1] => [9,3,4,5,6,8,7,2,1,10]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [10,9,4,3,5,6,7,8,2,1] => [9,4,3,5,6,7,8,2,1,10]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [11,10,3,4,5,6,7,9,8,2,1] => [10,3,4,5,6,7,9,8,2,1,11]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [10,3,4,5,6,7,9,8,2,1] => [9,2,3,4,5,6,8,7,1,10]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [10,4,3,5,6,7,8,9,2,1] => [9,3,2,4,5,6,7,8,1,10]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [11,10,4,3,5,6,7,8,9,2,1] => [10,4,3,5,6,7,8,9,2,1,11]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10,11] => [1,3,4,5,6,7,8,9,10,11,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,5,6,8,9,7] => [1,3,4,5,6,9,7,8,2]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,7,8,10,9,1] => [1,2,3,4,5,6,7,9,8,10]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [10,9,8,5,7,6,4,3,2,1] => [9,8,7,4,6,5,3,2,1,10]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [10,9,8,6,5,7,4,3,2,1] => [9,8,7,5,4,6,3,2,1,10]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [11,10,9,8,5,7,6,4,3,2,1] => [10,9,8,5,7,6,4,3,2,1,11]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [10,9,8,4,5,7,6,3,2,1] => [9,8,4,5,7,6,3,2,1,10]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [10,9,8,5,4,6,7,3,2,1] => [9,8,5,4,6,7,3,2,1,10]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [11,10,9,8,6,5,7,4,3,2,1] => [10,9,8,6,5,7,4,3,2,1,11]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,5,6,7,9,10,8] => [1,3,4,5,6,7,10,8,9,2]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,6,8,9,7] => [1,2,4,5,6,9,7,8,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,3,2,4,5,6,8,9,7] => [3,2,4,5,6,9,7,8,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,6,7,9,8] => [1,2,4,5,6,7,9,8,3]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [8,2,3,4,5,6,7,1,9] => [2,3,4,5,6,7,1,9,8]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [7,2,3,4,5,6,1,8,9] => [2,3,4,5,6,1,8,9,7]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [6,2,3,4,5,1,7,8,9] => [2,3,4,5,1,7,8,9,6]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [5,2,3,4,1,6,7,8,9] => [2,3,4,1,6,7,8,9,5]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,2,3,1,5,6,7,8,9] => [2,3,1,5,6,7,8,9,4]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,10,9,8,7,6,5,4,3,1] => [1,9,8,7,6,5,4,3,2,10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,8,7,6,5,4,3,2,10,1] => [8,7,6,5,4,3,2,1,9,10]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [10,9,8,7,6,5,4,3,2,11,1] => [9,8,7,6,5,4,3,2,1,10,11]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [9,8,7,5,6,4,3,2,10,1] => [8,7,6,4,5,3,2,1,9,10]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [6,5,4,3,2,7,1,8,9] => [5,4,3,2,1,6,8,9,7]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [5,4,3,2,6,1,7,8,9] => [4,3,2,1,5,7,8,9,6]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [4,3,2,5,1,6,7,8,9] => [3,2,1,4,6,7,8,9,5]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7,8,9] => [2,1,3,5,6,7,8,9,4]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [10,9,8,7,5,6,4,3,2,1] => [9,8,7,5,6,4,3,2,1,10]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [10,9,8,4,7,6,5,3,2,1] => [9,8,4,7,6,5,3,2,1,10]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [10,9,4,8,7,6,5,3,2,1] => [9,8,3,7,6,5,4,2,1,10]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [10,9,3,8,7,6,5,4,2,1] => [9,3,8,7,6,5,4,2,1,10]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [10,3,9,8,7,6,5,4,2,1] => [9,2,8,7,6,5,4,3,1,10]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [10,2,9,8,7,6,5,4,3,1] => [2,9,8,7,6,5,4,3,1,10]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [7,2,3,4,5,6,1,9,8] => [2,3,4,5,6,1,9,8,7]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,1,9,4,5,6,7,8,3] => [1,9,4,5,6,7,8,3,2]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [2,8,3,4,5,6,7,1,9] => [1,3,4,5,6,7,2,9,8]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,10,3,4,5,6,7,8,9,1] => [1,3,4,5,6,7,8,9,2,10]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [11,10,9,8,6,7,5,4,3,2,1] => [10,9,8,7,5,6,4,3,2,1,11]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,1,9,8,7,6,5,4] => [1,2,9,8,7,6,5,4,3]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,2,3,1,9,8,7,6,5] => [2,3,1,9,8,7,6,5,4]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,3,4,2,1,9,8,7,6] => [4,2,3,1,9,8,7,6,5]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [6,5,3,4,2,1,9,8,7] => [5,3,4,2,1,9,8,7,6]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,2,6,7,8,9] => [5,2,3,4,6,7,8,9,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,4,5,3,6,7,8,9] => [2,5,3,4,6,7,8,9,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,3,4,5,7,8,6,9,10] => [2,3,4,5,8,6,7,9,10,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,3,4,5,7,8,9,6,10] => [2,3,4,5,9,6,7,8,10,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6,7,9,8] => [1,2,3,4,6,7,9,8,5]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,5,3,6,7,8,9] => [1,5,3,4,6,7,8,9,2]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [2,6,3,4,5,7,8,9,10,1] => [1,3,4,5,2,6,7,8,9,10]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [2,3,6,4,5,7,8,9,10,1] => [1,2,4,5,3,6,7,8,9,10]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,3,4,6,5,7,8,9,10,1] => [1,2,3,5,4,6,7,8,9,10]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,10,9,4,5,6,7,8,3,2] => [10,9,4,5,6,7,8,3,2,1]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,9,4,3,5,6,7,8,2] => [9,4,3,5,6,7,8,2,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,7,8,1,9] => [2,1,3,4,5,6,7,9,8]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,6,7,9,8,2] => [9,2,3,4,5,6,8,7,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,7,1,9,8] => [1,2,3,4,5,6,9,8,7]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,8,9,3] => [1,9,3,4,5,6,7,8,2]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,5,6,1,9,8,7] => [1,2,3,4,5,9,8,7,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,5,6,7,10,9,8,1] => [1,2,3,4,5,6,9,8,7,10]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1,9,8,7,6] => [1,2,3,4,9,8,7,6,5]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,4,5,6,10,8,9,7,1] => [1,2,3,4,5,9,7,8,6,10]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,3,4,1,9,7,8,6,5] => [1,2,3,9,8,6,7,5,4]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,4,5,10,7,8,9,6,1] => [1,2,3,4,9,6,7,8,5,10]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,3,1,9,6,7,8,5,4] => [1,2,9,8,5,6,7,4,3]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,4,10,6,7,8,9,5,1] => [1,2,3,9,5,6,7,8,4,10]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,1,9,5,6,7,8,4,3] => [1,9,8,4,5,6,7,3,2]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,3,10,5,6,7,8,9,4,1] => [1,2,9,4,5,6,7,8,3,10]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,10,4,5,6,7,8,9,3,1] => [1,9,3,4,5,6,7,8,2,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [10,3,4,5,6,7,8,9,2,1] => [9,2,3,4,5,6,7,8,1,10]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,1,4,9,8,7,6,5,3] => [1,9,3,8,7,6,5,4,2]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,2,6,5,4,3,1,9,8] => [2,6,5,4,3,1,9,8,7]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,2,1,9,5,8,7,6,4] => [2,1,9,5,8,7,6,4,3]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,3,5,4,2,1,9,8,7] => [5,2,4,3,1,9,8,7,6]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,3,2,1,9,7,8,6,5] => [3,2,1,9,8,6,7,5,4]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [6,5,4,3,2,1,8,9,7] => [5,4,3,2,1,9,7,8,6]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [10,8,7,6,5,4,3,2,9,1] => [8,7,6,5,4,3,2,9,1,10]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [5,4,3,2,1,9,7,8,6] => [4,3,2,1,9,7,8,6,5]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [10,8,7,6,5,4,3,9,2,1] => [9,7,6,5,4,3,2,8,1,10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [10,9,7,6,5,4,3,8,2,1] => [9,7,6,5,4,3,8,2,1,10]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,1,9,8,6,7,5,4] => [2,1,9,8,6,7,5,4,3]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [10,9,7,6,5,4,8,3,2,1] => [9,8,6,5,4,3,7,2,1,10]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [10,9,8,6,5,4,7,3,2,1] => [9,8,6,5,4,7,3,2,1,10]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,3,5,7,8,9,6] => [2,4,3,5,9,6,7,8,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,3,4,6,7,8,5,9] => [2,3,4,8,5,6,7,9,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,3,4,6,7,5,8,9] => [2,3,4,7,5,6,8,9,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,4,5,3,6,7,8,9,10] => [2,5,3,4,6,7,8,9,10,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,4,5,10,6,7,8,9,1] => [1,2,3,4,6,7,8,9,5,10]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,3,4,5,7,6,8,9,10,1] => [1,2,3,4,6,5,7,8,9,10]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [10,9,8,7,5,6,4,3,2,11,1] => [9,8,7,5,6,4,3,2,1,10,11]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [9,8,7,4,5,6,3,2,10,1] => [8,7,4,5,6,3,2,1,9,10]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [2,10,9,8,5,6,7,4,3,1] => [1,9,8,5,6,7,4,3,2,10]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [2,11,10,9,8,6,7,5,4,3,1] => [1,10,9,8,6,7,5,4,3,2,11]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,5,6,1,8,7,9] => [1,2,3,4,5,8,7,9,6]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,4,5,1,7,6,8,9] => [1,2,3,4,7,6,8,9,5]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [2,4,3,1,6,5,8,7,9] => [1,3,2,6,5,8,7,9,4]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,3,6,5,1,8,7,9] => [1,3,2,5,4,8,7,9,6]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,3,6,5,8,7,1,9] => [1,3,2,5,4,7,6,9,8]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,3,6,5,7,1,9,8] => [1,3,2,5,4,6,9,8,7]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,4,3,5,1,7,6,9,8] => [1,3,2,4,7,6,9,8,5]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6,9,8] => [1,2,5,4,7,6,9,8,3]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,5,8,7,10,9] => [1,3,2,6,5,8,7,10,9,4]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [2,6,4,3,5,1,8,7,9] => [1,4,3,5,2,8,7,9,6]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,3,6,5,1,8,7,10,9] => [1,3,2,5,4,8,7,10,9,6]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [2,4,3,8,6,5,7,1,9] => [1,3,2,6,5,7,4,9,8]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,4,3,6,5,8,7,1,10,9] => [1,3,2,5,4,7,6,10,9,8]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,8,7,10,9,1] => [1,3,2,5,4,7,6,9,8,10]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,3,6,5,7,1,8,9] => [1,3,2,5,4,6,8,9,7]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,4,3,6,5,8,7,9,1,10] => [1,3,2,5,4,7,6,8,10,9]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,4,3,5,1,8,7,9,6] => [1,3,2,4,9,7,6,8,5]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,4,3,6,5,7,1,9,8,10] => [1,3,2,5,4,6,9,8,10,7]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,1,6,5,7,4,9,8] => [1,2,7,5,4,6,9,8,3]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,4,3,5,1,7,6,9,8,10] => [1,3,2,4,7,6,9,8,10,5]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,4,3,5,2,7,6,9,8] => [5,3,2,4,7,6,9,8,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6,9,8,10] => [1,2,5,4,7,6,9,8,10,3]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,1,5,7,8,9,6] => [1,2,3,5,9,6,7,8,4]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,5,6,7,10,8,9,1] => [1,2,3,4,5,6,8,9,7,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,5,6,10,7,8,9,1] => [1,2,3,4,5,7,8,9,6,10]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,4,10,5,6,7,8,9,1] => [1,2,3,5,6,7,8,9,4,10]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,10,4,5,6,7,8,9,1] => [1,2,4,5,6,7,8,9,3,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10,2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,7,8,9,11,10,1] => [1,2,3,4,5,6,7,8,10,9,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,5,6,7,8,11,9,10,1] => [1,2,3,4,5,6,7,9,10,8,11]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,4,5,6,10,8,7,9,1] => [1,2,3,4,5,8,7,9,6,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,5,6,7,11,8,9,10,1] => [1,2,3,4,5,6,8,9,10,7,11]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,4,5,10,7,6,8,9,1] => [1,2,3,4,7,6,8,9,5,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,4,5,6,11,7,8,9,10,1] => [1,2,3,4,5,7,8,9,10,6,11]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,3,4,10,6,5,7,8,9,1] => [1,2,3,6,5,7,8,9,4,10]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,4,5,11,6,7,8,9,10,1] => [1,2,3,4,6,7,8,9,10,5,11]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [2,3,10,5,4,6,7,8,9,1] => [1,2,5,4,6,7,8,9,3,10]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,4,11,5,6,7,8,9,10,1] => [1,2,3,5,6,7,8,9,10,4,11]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,10,4,3,5,6,7,8,9,1] => [1,4,3,5,6,7,8,9,2,10]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,11,4,5,6,7,8,9,10,1] => [1,2,4,5,6,7,8,9,10,3,11]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10,3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,9,1,10]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,11,3,4,5,6,7,8,9,10,1] => [1,3,4,5,6,7,8,9,10,2,11]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [11,2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,10,1,11]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [10,9,8,5,4,7,6,3,2,1] => [9,8,5,4,7,6,3,2,1,10]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [10,9,5,4,3,8,7,6,2,1] => [9,5,4,3,8,7,6,2,1,10]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [10,5,4,3,2,9,8,7,6,1] => [5,4,3,2,9,8,7,6,1,10]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,3,10,4,6,9,7,8,5,2] => [10,2,4,9,5,7,8,6,3,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,3,10,4,8,6,7,9,5,2] => [10,2,4,9,6,7,5,8,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,3,10,5,6,4,8,9,7,2] => [10,2,6,4,5,9,7,8,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,3,10,5,8,6,7,4,9,2] => [10,2,8,4,6,7,5,9,3,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,3,10,7,5,6,8,4,9,2] => [10,2,8,5,6,4,7,9,3,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,5,3,4,10,6,8,9,7,2] => [10,3,4,2,6,9,7,8,5,1]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,5,3,4,10,7,8,6,9,2] => [10,3,4,2,8,6,7,9,5,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,7,3,5,6,4,10,8,9,2] => [10,3,6,4,5,2,8,9,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,7,4,5,3,6,10,8,9,2] => [10,5,3,4,6,2,8,9,7,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,9,3,5,8,6,7,4,10,2] => [10,3,8,4,6,7,5,2,9,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,9,3,7,5,6,8,4,10,2] => [10,3,8,5,6,4,7,2,9,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,9,4,5,3,7,8,6,10,2] => [10,5,3,4,8,6,7,2,9,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,9,4,7,5,6,3,8,10,2] => [10,7,3,5,6,4,8,2,9,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,9,6,4,5,7,3,8,10,2] => [10,7,4,5,3,6,8,2,9,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,1,5,10,6,8,9,7,4] => [1,2,10,4,6,9,7,8,5,3]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,1,5,10,7,8,6,9,4] => [1,2,10,4,8,6,7,9,5,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,3,1,7,5,6,10,8,9,4] => [1,2,10,5,6,4,8,9,7,3]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,9,5,7,8,6,10,4] => [1,2,10,5,8,6,7,4,9,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,3,1,9,6,7,5,8,10,4] => [1,2,10,7,5,6,8,4,9,3]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1,7,10,8,9,6] => [1,3,4,2,10,6,8,9,7,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,5,3,4,1,9,7,8,10,6] => [1,3,4,2,10,7,8,6,9,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [4,2,3,5,1,7,10,8,9,6] => [2,3,1,4,10,6,8,9,7,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1,9,7,8,10,6] => [2,3,1,4,10,7,8,6,9,5]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,7,3,5,6,4,1,9,10,8] => [1,3,6,4,5,2,10,8,9,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [2,7,4,5,3,6,1,9,10,8] => [1,5,3,4,6,2,10,8,9,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,2,3,7,5,6,1,9,10,8] => [2,3,1,5,6,4,10,8,9,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [6,2,4,5,3,7,1,9,10,8] => [2,5,3,4,1,6,10,8,9,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [6,3,4,2,5,7,1,9,10,8] => [4,2,3,5,1,6,10,8,9,7]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [2,9,3,5,8,6,7,4,1,10] => [1,3,8,4,6,7,5,2,10,9]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [2,9,3,7,5,6,8,4,1,10] => [1,3,8,5,6,4,7,2,10,9]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [2,9,4,5,3,7,8,6,1,10] => [1,5,3,4,8,6,7,2,10,9]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [2,9,4,7,5,6,3,8,1,10] => [1,7,3,5,6,4,8,2,10,9]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [2,9,6,4,5,7,3,8,1,10] => [1,7,4,5,3,6,8,2,10,9]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,2,3,9,5,7,8,6,1,10] => [2,3,1,5,8,6,7,4,10,9]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,2,3,9,6,7,5,8,1,10] => [2,3,1,7,5,6,8,4,10,9]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [6,2,4,5,3,9,7,8,1,10] => [2,5,3,4,1,7,8,6,10,9]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [6,3,4,2,5,9,7,8,1,10] => [4,2,3,5,1,7,8,6,10,9]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [8,2,4,7,5,6,3,9,1,10] => [2,7,3,5,6,4,1,8,10,9]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [8,2,6,4,5,7,3,9,1,10] => [2,7,4,5,3,6,1,8,10,9]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [8,3,4,2,6,7,5,9,1,10] => [4,2,3,7,5,6,1,8,10,9]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [8,3,6,4,5,2,7,9,1,10] => [6,2,4,5,3,7,1,8,10,9]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [8,5,3,4,6,2,7,9,1,10] => [6,3,4,2,5,7,1,8,10,9]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,3,12,4,6,11,7,9,10,8,5,2] => [12,2,4,11,5,7,10,8,9,6,3,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,3,12,4,6,11,8,9,7,10,5,2] => [12,2,4,11,5,9,7,8,10,6,3,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,3,12,4,8,6,7,11,9,10,5,2] => [12,2,4,11,6,7,5,9,10,8,3,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,3,12,4,10,6,8,9,7,11,5,2] => [12,2,4,11,6,9,7,8,5,10,3,1]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,3,12,4,10,7,8,6,9,11,5,2] => [12,2,4,11,8,6,7,9,5,10,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,3,12,5,6,4,8,11,9,10,7,2] => [12,2,6,4,5,11,7,9,10,8,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,3,12,5,6,4,10,8,9,11,7,2] => [12,2,6,4,5,11,8,9,7,10,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,3,12,5,8,6,7,4,10,11,9,2] => [12,2,8,4,6,7,5,11,9,10,3,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,3,12,7,5,6,8,4,10,11,9,2] => [12,2,8,5,6,4,7,11,9,10,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,3,12,5,10,6,8,9,7,4,11,2] => [12,2,10,4,6,9,7,8,5,11,3,1]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,3,12,5,10,7,8,6,9,4,11,2] => [12,2,10,4,8,6,7,9,5,11,3,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,3,12,7,5,6,10,8,9,4,11,2] => [12,2,10,5,6,4,8,9,7,11,3,1]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,3,12,9,5,7,8,6,10,4,11,2] => [12,2,10,5,8,6,7,4,9,11,3,1]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,3,12,9,6,7,5,8,10,4,11,2] => [12,2,10,7,5,6,8,4,9,11,3,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,5,3,4,12,6,8,11,9,10,7,2] => [12,3,4,2,6,11,7,9,10,8,5,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,5,3,4,12,6,10,8,9,11,7,2] => [12,3,4,2,6,11,8,9,7,10,5,1]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,5,3,4,12,7,8,6,10,11,9,2] => [12,3,4,2,8,6,7,11,9,10,5,1]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,5,3,4,12,7,10,8,9,6,11,2] => [12,3,4,2,10,6,8,9,7,11,5,1]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,5,3,4,12,9,7,8,10,6,11,2] => [12,3,4,2,10,7,8,6,9,11,5,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,7,3,5,6,4,12,8,10,11,9,2] => [12,3,6,4,5,2,8,11,9,10,7,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,7,3,5,6,4,12,9,10,8,11,2] => [12,3,6,4,5,2,10,8,9,11,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,7,4,5,3,6,12,8,10,11,9,2] => [12,5,3,4,6,2,8,11,9,10,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,7,4,5,3,6,12,9,10,8,11,2] => [12,5,3,4,6,2,10,8,9,11,7,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,9,3,5,8,6,7,4,12,10,11,2] => [12,3,8,4,6,7,5,2,10,11,9,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,9,3,7,5,6,8,4,12,10,11,2] => [12,3,8,5,6,4,7,2,10,11,9,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,9,4,5,3,7,8,6,12,10,11,2] => [12,5,3,4,8,6,7,2,10,11,9,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,9,4,7,5,6,3,8,12,10,11,2] => [12,7,3,5,6,4,8,2,10,11,9,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,9,6,4,5,7,3,8,12,10,11,2] => [12,7,4,5,3,6,8,2,10,11,9,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,11,3,5,10,6,8,9,7,4,12,2] => [12,3,10,4,6,9,7,8,5,2,11,1]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,11,3,5,10,7,8,6,9,4,12,2] => [12,3,10,4,8,6,7,9,5,2,11,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,11,3,7,5,6,10,8,9,4,12,2] => [12,3,10,5,6,4,8,9,7,2,11,1]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,11,3,9,5,7,8,6,10,4,12,2] => [12,3,10,5,8,6,7,4,9,2,11,1]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,11,3,9,6,7,5,8,10,4,12,2] => [12,3,10,7,5,6,8,4,9,2,11,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,11,4,5,3,7,10,8,9,6,12,2] => [12,5,3,4,10,6,8,9,7,2,11,1]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,11,4,5,3,9,7,8,10,6,12,2] => [12,5,3,4,10,7,8,6,9,2,11,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,11,4,7,5,6,3,9,10,8,12,2] => [12,7,3,5,6,4,10,8,9,2,11,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,11,6,4,5,7,3,9,10,8,12,2] => [12,7,4,5,3,6,10,8,9,2,11,1]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,11,4,9,5,7,8,6,3,10,12,2] => [12,9,3,5,8,6,7,4,10,2,11,1]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,11,4,9,6,7,5,8,3,10,12,2] => [12,9,3,7,5,6,8,4,10,2,11,1]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,11,6,4,5,9,7,8,3,10,12,2] => [12,9,4,5,3,7,8,6,10,2,11,1]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,11,8,4,6,7,5,9,3,10,12,2] => [12,9,4,7,5,6,3,8,10,2,11,1]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,11,8,5,6,4,7,9,3,10,12,2] => [12,9,6,4,5,7,3,8,10,2,11,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,1,5,12,6,8,11,9,10,7,4] => [1,2,12,4,6,11,7,9,10,8,5,3]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [2,3,1,5,12,6,10,8,9,11,7,4] => [1,2,12,4,6,11,8,9,7,10,5,3]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [2,3,1,5,12,7,8,6,10,11,9,4] => [1,2,12,4,8,6,7,11,9,10,5,3]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [2,3,1,5,12,7,10,8,9,6,11,4] => [1,2,12,4,10,6,8,9,7,11,5,3]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [2,3,1,5,12,9,7,8,10,6,11,4] => [1,2,12,4,10,7,8,6,9,11,5,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,1,7,5,6,12,8,10,11,9,4] => [1,2,12,5,6,4,8,11,9,10,7,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,1,7,5,6,12,9,10,8,11,4] => [1,2,12,5,6,4,10,8,9,11,7,3]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [2,3,1,9,5,7,8,6,12,10,11,4] => [1,2,12,5,8,6,7,4,10,11,9,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [2,3,1,9,6,7,5,8,12,10,11,4] => [1,2,12,7,5,6,8,4,10,11,9,3]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [2,3,1,11,5,7,10,8,9,6,12,4] => [1,2,12,5,10,6,8,9,7,4,11,3]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,3,1,11,5,9,7,8,10,6,12,4] => [1,2,12,5,10,7,8,6,9,4,11,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,11,6,7,5,9,10,8,12,4] => [1,2,12,7,5,6,10,8,9,4,11,3]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [2,3,1,11,6,9,7,8,5,10,12,4] => [1,2,12,9,5,7,8,6,10,4,11,3]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,3,1,11,8,6,7,9,5,10,12,4] => [1,2,12,9,6,7,5,8,10,4,11,3]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,5,3,4,1,7,12,8,10,11,9,6] => [1,3,4,2,12,6,8,11,9,10,7,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,5,3,4,1,7,12,9,10,8,11,6] => [1,3,4,2,12,6,10,8,9,11,7,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,5,3,4,1,9,7,8,12,10,11,6] => [1,3,4,2,12,7,8,6,10,11,9,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,5,3,4,1,11,7,9,10,8,12,6] => [1,3,4,2,12,7,10,8,9,6,11,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,5,3,4,1,11,8,9,7,10,12,6] => [1,3,4,2,12,9,7,8,10,6,11,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [4,2,3,5,1,7,12,8,10,11,9,6] => [2,3,1,4,12,6,8,11,9,10,7,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [4,2,3,5,1,7,12,9,10,8,11,6] => [2,3,1,4,12,6,10,8,9,11,7,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,2,3,5,1,9,7,8,12,10,11,6] => [2,3,1,4,12,7,8,6,10,11,9,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,2,3,5,1,11,7,9,10,8,12,6] => [2,3,1,4,12,7,10,8,9,6,11,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,2,3,5,1,11,8,9,7,10,12,6] => [2,3,1,4,12,9,7,8,10,6,11,5]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,7,3,5,6,4,1,9,12,10,11,8] => [1,3,6,4,5,2,12,8,10,11,9,7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,7,3,5,6,4,1,11,9,10,12,8] => [1,3,6,4,5,2,12,9,10,8,11,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,7,4,5,3,6,1,9,12,10,11,8] => [1,5,3,4,6,2,12,8,10,11,9,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,7,4,5,3,6,1,11,9,10,12,8] => [1,5,3,4,6,2,12,9,10,8,11,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [4,2,3,7,5,6,1,9,12,10,11,8] => [2,3,1,5,6,4,12,8,10,11,9,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [4,2,3,7,5,6,1,11,9,10,12,8] => [2,3,1,5,6,4,12,9,10,8,11,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [6,2,4,5,3,7,1,9,12,10,11,8] => [2,5,3,4,1,6,12,8,10,11,9,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [6,2,4,5,3,7,1,11,9,10,12,8] => [2,5,3,4,1,6,12,9,10,8,11,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [6,3,4,2,5,7,1,9,12,10,11,8] => [4,2,3,5,1,6,12,8,10,11,9,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [6,3,4,2,5,7,1,11,9,10,12,8] => [4,2,3,5,1,6,12,9,10,8,11,7]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [2,9,3,5,8,6,7,4,1,11,12,10] => [1,3,8,4,6,7,5,2,12,10,11,9]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [2,9,3,7,5,6,8,4,1,11,12,10] => [1,3,8,5,6,4,7,2,12,10,11,9]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,9,4,5,3,7,8,6,1,11,12,10] => [1,5,3,4,8,6,7,2,12,10,11,9]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [2,9,4,7,5,6,3,8,1,11,12,10] => [1,7,3,5,6,4,8,2,12,10,11,9]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [2,9,6,4,5,7,3,8,1,11,12,10] => [1,7,4,5,3,6,8,2,12,10,11,9]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [4,2,3,9,5,7,8,6,1,11,12,10] => [2,3,1,5,8,6,7,4,12,10,11,9]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [4,2,3,9,6,7,5,8,1,11,12,10] => [2,3,1,7,5,6,8,4,12,10,11,9]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [6,2,4,5,3,9,7,8,1,11,12,10] => [2,5,3,4,1,7,8,6,12,10,11,9]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [6,3,4,2,5,9,7,8,1,11,12,10] => [4,2,3,5,1,7,8,6,12,10,11,9]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [8,2,4,7,5,6,3,9,1,11,12,10] => [2,7,3,5,6,4,1,8,12,10,11,9]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [8,2,6,4,5,7,3,9,1,11,12,10] => [2,7,4,5,3,6,1,8,12,10,11,9]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [8,3,4,2,6,7,5,9,1,11,12,10] => [4,2,3,7,5,6,1,8,12,10,11,9]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [8,3,6,4,5,2,7,9,1,11,12,10] => [6,2,4,5,3,7,1,8,12,10,11,9]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [8,5,3,4,6,2,7,9,1,11,12,10] => [6,3,4,2,5,7,1,8,12,10,11,9]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [2,11,3,5,10,6,8,9,7,4,1,12] => [1,3,10,4,6,9,7,8,5,2,12,11]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [2,11,3,5,10,7,8,6,9,4,1,12] => [1,3,10,4,8,6,7,9,5,2,12,11]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [2,11,3,7,5,6,10,8,9,4,1,12] => [1,3,10,5,6,4,8,9,7,2,12,11]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [2,11,3,9,5,7,8,6,10,4,1,12] => [1,3,10,5,8,6,7,4,9,2,12,11]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [2,11,3,9,6,7,5,8,10,4,1,12] => [1,3,10,7,5,6,8,4,9,2,12,11]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [2,11,4,5,3,7,10,8,9,6,1,12] => [1,5,3,4,10,6,8,9,7,2,12,11]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [2,11,4,5,3,9,7,8,10,6,1,12] => [1,5,3,4,10,7,8,6,9,2,12,11]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [2,11,4,7,5,6,3,9,10,8,1,12] => [1,7,3,5,6,4,10,8,9,2,12,11]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [2,11,6,4,5,7,3,9,10,8,1,12] => [1,7,4,5,3,6,10,8,9,2,12,11]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [2,11,4,9,5,7,8,6,3,10,1,12] => [1,9,3,5,8,6,7,4,10,2,12,11]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [2,11,4,9,6,7,5,8,3,10,1,12] => [1,9,3,7,5,6,8,4,10,2,12,11]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [2,11,6,4,5,9,7,8,3,10,1,12] => [1,9,4,5,3,7,8,6,10,2,12,11]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [2,11,8,4,6,7,5,9,3,10,1,12] => [1,9,4,7,5,6,3,8,10,2,12,11]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [2,11,8,5,6,4,7,9,3,10,1,12] => [1,9,6,4,5,7,3,8,10,2,12,11]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [4,2,3,11,5,7,10,8,9,6,1,12] => [2,3,1,5,10,6,8,9,7,4,12,11]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [4,2,3,11,5,9,7,8,10,6,1,12] => [2,3,1,5,10,7,8,6,9,4,12,11]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [4,2,3,11,6,7,5,9,10,8,1,12] => [2,3,1,7,5,6,10,8,9,4,12,11]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [4,2,3,11,6,9,7,8,5,10,1,12] => [2,3,1,9,5,7,8,6,10,4,12,11]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [4,2,3,11,8,6,7,9,5,10,1,12] => [2,3,1,9,6,7,5,8,10,4,12,11]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,11,7,9,10,8,1,12] => [2,5,3,4,1,7,10,8,9,6,12,11]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,2,4,5,3,11,8,9,7,10,1,12] => [2,5,3,4,1,9,7,8,10,6,12,11]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,3,4,2,5,11,7,9,10,8,1,12] => [4,2,3,5,1,7,10,8,9,6,12,11]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,11,8,9,7,10,1,12] => [4,2,3,5,1,9,7,8,10,6,12,11]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [8,2,4,7,5,6,3,11,9,10,1,12] => [2,7,3,5,6,4,1,9,10,8,12,11]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [8,2,6,4,5,7,3,11,9,10,1,12] => [2,7,4,5,3,6,1,9,10,8,12,11]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [8,3,4,2,6,7,5,11,9,10,1,12] => [4,2,3,7,5,6,1,9,10,8,12,11]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [8,3,6,4,5,2,7,11,9,10,1,12] => [6,2,4,5,3,7,1,9,10,8,12,11]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [8,5,3,4,6,2,7,11,9,10,1,12] => [6,3,4,2,5,7,1,9,10,8,12,11]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [10,2,4,9,5,7,8,6,3,11,1,12] => [2,9,3,5,8,6,7,4,1,10,12,11]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [10,2,4,9,6,7,5,8,3,11,1,12] => [2,9,3,7,5,6,8,4,1,10,12,11]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [10,2,6,4,5,9,7,8,3,11,1,12] => [2,9,4,5,3,7,8,6,1,10,12,11]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [10,2,8,4,6,7,5,9,3,11,1,12] => [2,9,4,7,5,6,3,8,1,10,12,11]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [10,2,8,5,6,4,7,9,3,11,1,12] => [2,9,6,4,5,7,3,8,1,10,12,11]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [10,3,4,2,6,9,7,8,5,11,1,12] => [4,2,3,9,5,7,8,6,1,10,12,11]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [10,3,4,2,8,6,7,9,5,11,1,12] => [4,2,3,9,6,7,5,8,1,10,12,11]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [10,3,6,4,5,2,8,9,7,11,1,12] => [6,2,4,5,3,9,7,8,1,10,12,11]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [10,5,3,4,6,2,8,9,7,11,1,12] => [6,3,4,2,5,9,7,8,1,10,12,11]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [10,3,8,4,6,7,5,2,9,11,1,12] => [8,2,4,7,5,6,3,9,1,10,12,11]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [10,3,8,5,6,4,7,2,9,11,1,12] => [8,2,6,4,5,7,3,9,1,10,12,11]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [10,5,3,4,8,6,7,2,9,11,1,12] => [8,3,4,2,6,7,5,9,1,10,12,11]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [10,7,3,5,6,4,8,2,9,11,1,12] => [8,3,6,4,5,2,7,9,1,10,12,11]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [10,7,4,5,3,6,8,2,9,11,1,12] => [8,5,3,4,6,2,7,9,1,10,12,11]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [11,10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1,11]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,1,11,10,9,8,7,6,5,4,3] => [1,11,10,9,8,7,6,5,4,3,2]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [9,2,3,4,5,6,7,8,1,10] => [2,3,4,5,6,7,8,1,10,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [9,8,3,4,5,6,7,2,1,10] => [8,3,4,5,6,7,2,1,10,9]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [10,9,8,4,6,7,5,3,2,1] => [9,8,4,7,5,6,3,2,1,10]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,10,9,8,6,7,5,4,3,1] => [1,9,8,7,5,6,4,3,2,10]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,11,10,9,8,7,6,5,4,3,1] => [1,10,9,8,7,6,5,4,3,2,11]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [11,10,9,8,7,6,5,4,3,2,12,1] => [10,9,8,7,6,5,4,3,2,1,11,12]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [9,8,7,5,4,6,3,2,10,1] => [8,7,5,4,6,3,2,1,9,10]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [9,8,7,4,6,5,3,2,10,1] => [8,7,4,6,5,3,2,1,9,10]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [2,10,9,8,6,5,7,4,3,1] => [1,9,8,6,5,7,4,3,2,10]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [2,10,9,8,5,7,6,4,3,1] => [1,9,8,5,7,6,4,3,2,10]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [2,12,11,10,9,8,7,6,5,4,3,1] => [1,11,10,9,8,7,6,5,4,3,2,12]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7,8,9,10,11] => [1,2,4,5,6,7,8,9,10,11,3]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,4,9,8,7,6,5,3] => [2,9,3,8,7,6,5,4,1]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,3,5,9,8,7,6,4] => [2,3,9,4,8,7,6,5,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3,4,6,9,8,7,5] => [2,3,4,9,5,8,7,6,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,4,5,7,9,8,6] => [2,3,4,5,9,6,8,7,1]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,2,1,5,6,7,8,9,4] => [2,1,9,4,5,6,7,8,3]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,6,7,8,9,5] => [3,2,1,9,5,6,7,8,4]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [9,8,7,6,5,4,3,2,1,11,10] => [8,7,6,5,4,3,2,1,11,10,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [10,9,3,4,5,6,7,8,2,1] => [9,3,4,5,6,7,8,2,1,10]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [6,5,3,4,2,1,7,8,9] => [5,3,4,2,1,7,8,9,6]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [10,7,6,5,4,3,2,9,8,1] => [7,6,5,4,3,2,9,8,1,10]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7,8,9] => [4,2,3,5,6,7,8,9,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,8,9,10,3] => [1,10,3,4,5,6,7,8,9,2]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,6,7,8,9,4] => [1,2,9,4,5,6,7,8,3]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [10,2,3,4,5,6,7,9,8,1] => [2,3,4,5,6,7,9,8,1,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,6,7,8,10,9,11] => [2,3,4,5,6,7,8,10,9,11,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,5,6,1,8,9,10,7] => [1,2,3,4,5,10,7,8,9,6]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,4,5,7,8,6,9] => [2,3,4,5,8,6,7,9,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,3,5,6,7,9,8,4] => [2,3,9,4,5,6,8,7,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,4,5,6,8,9,7,10] => [2,3,4,5,6,9,7,8,10,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,6,7,2,9,8] => [7,2,3,4,5,6,9,8,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,6,7,8,2,9,10] => [8,2,3,4,5,6,7,9,10,1]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [10,9,8,4,5,6,7,3,2,1] => [9,8,4,5,6,7,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,9,10,1,11] => [1,2,3,4,5,6,7,8,9,11,10]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [10,2,9,8,5,6,7,4,3,1] => [2,9,8,5,6,7,4,3,1,10]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,7,8,2,9] => [8,2,3,4,5,6,7,9,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,5,6,2,8,9,7] => [6,2,3,4,5,9,7,8,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8,9,10,11] => [3,2,4,5,6,7,8,9,10,11,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [6,2,3,4,5,1,9,8,7] => [2,3,4,5,1,9,8,7,6]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [5,2,3,4,1,9,8,7,6] => [2,3,4,1,9,8,7,6,5]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [8,7,6,5,4,3,2,10,9,1] => [7,6,5,4,3,2,1,9,8,10]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,2,10,9,8,7,6,5,4,1] => [2,1,9,8,7,6,5,4,3,10]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,3,4,5,7,6,8,1,9] => [1,2,3,4,6,5,7,9,8]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,4,5,8,7,6,1,9] => [1,2,3,4,7,6,5,9,8]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [10,2,9,4,5,6,7,8,3,1] => [2,9,4,5,6,7,8,3,1,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [11,3,4,5,6,7,8,9,10,2,1] => [10,2,3,4,5,6,7,8,9,1,11]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,3,5,6,7,8,9,4] => [1,3,9,4,5,6,7,8,2]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,3,4,6,9,7,8,5] => [2,3,4,9,5,7,8,6,1]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,3,5,9,6,7,8,4] => [2,3,9,4,6,7,8,5,1]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,9,4,5,6,7,8,2] => [9,2,4,5,6,7,8,3,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,7,8,1,10,9] => [1,2,3,4,5,6,7,10,9,8]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,5,6,1,8,9,7] => [1,2,3,4,5,9,7,8,6]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,5,3,4,2,1,7,8,9,10] => [5,3,4,2,1,7,8,9,10,6]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6,9,8,11,10] => [3,2,5,4,7,6,9,8,11,10,1]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,3,1,6,5,8,7,10,9] => [2,3,1,6,5,8,7,10,9,4]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [10,2,3,4,5,6,7,8,9,1,11] => [2,3,4,5,6,7,8,9,1,11,10]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,11,3,4,5,6,7,8,9,10,2] => [11,3,4,5,6,7,8,9,10,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [9,8,7,6,5,4,3,2,1,10,11] => [8,7,6,5,4,3,2,1,10,11,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [10,2,3,4,5,6,7,8,9,11,1] => [2,3,4,5,6,7,8,9,1,10,11]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7,8,9,10] => [4,2,3,5,6,7,8,9,10,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,6,5,3,7,8,9] => [2,6,3,5,4,7,8,9,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,5,3,4,2,1,10,9,8,7] => [5,3,4,2,1,10,9,8,7,6]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,7,8,9,2,10] => [9,2,3,4,5,6,7,8,10,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,3,7,8,9,10] => [2,6,3,4,5,7,8,9,10,1]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,9,5] => [1,2,3,9,5,6,7,8,4]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,4,5,6,8,10,9,7] => [2,3,4,5,6,10,7,9,8,1]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,2,4,5,1,6,7,8,9] => [2,1,3,4,6,7,8,9,5]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [11,10,3,4,5,6,7,8,9,2,1] => [10,3,4,5,6,7,8,9,2,1,11]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,2,3,5,6,7,8,4,9,10] => [2,3,8,4,5,6,7,9,10,1]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,10,9,8,7,6,5,4,3,2,11] => [10,9,8,7,6,5,4,3,2,11,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,7,6,5,4,3,9,8,2] => [9,6,5,4,3,2,8,7,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,2,3,4,6,7,10,9,8,5] => [2,3,4,10,5,6,9,8,7,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,6,7,8,2,10,9] => [8,2,3,4,5,6,7,10,9,1]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,4,1,6,5,8,7,9] => [2,1,3,6,5,8,7,9,4]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,2,5,4,6,1,8,7,9] => [2,1,4,3,5,8,7,9,6]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7,10,9] => [2,1,3,6,5,8,7,10,9,4]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7,10,9] => [2,1,4,3,5,8,7,10,9,6]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,7,6,8,1,10,9] => [2,1,4,3,6,5,7,10,9,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,9,8,10,1] => [2,1,4,3,6,5,8,7,9,10]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,9,8,1,10] => [2,1,4,3,6,5,8,7,10,9]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,3,4,8,5,6,7,1,9] => [1,2,3,5,6,7,4,9,8]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,7,8,9,1,10] => [2,1,3,4,5,6,7,8,10,9]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [4,2,3,5,6,7,8,1,9] => [2,3,1,4,5,6,7,9,8]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,4,6,5,3,7,8,9,10] => [2,6,3,5,4,7,8,9,10,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,2,9,5,4,6,7,8,3] => [2,9,5,4,6,7,8,3,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,4,5,1,6,8,7,9] => [1,2,3,4,6,8,7,9,5]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [8,7,6,4,5,3,2,1,9,10] => [7,6,4,5,3,2,1,9,10,8]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [5,4,3,2,1,7,8,9,6] => [4,3,2,1,9,6,7,8,5]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,5,6,8,7,9,2] => [9,2,3,4,5,7,6,8,1]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,2,8,7,6,5,4,1,9] => [2,1,7,6,5,4,3,9,8]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [10,3,2,9,8,7,6,5,4,1] => [3,2,9,8,7,6,5,4,1,10]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [4,3,2,1,10,7,6,9,8,5] => [3,2,1,10,7,6,9,8,5,4]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,6,7,8,10,9,2] => [10,2,3,4,5,6,7,9,8,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,7,8,3,9] => [1,8,3,4,5,6,7,9,2]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [8,7,6,5,4,3,2,9,10,1] => [7,6,5,4,3,2,1,8,9,10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [7,6,5,4,3,2,8,9,10,1] => [6,5,4,3,2,1,7,8,9,10]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,4,3,6,5,8,7,9,2] => [9,3,2,5,4,7,6,8,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,6,5,9,8,10,7] => [1,4,3,6,5,10,8,7,9,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,4,3,7,6,9,8,10,5] => [1,4,3,10,6,5,8,7,9,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,9,8,10,3] => [1,10,4,3,6,5,8,7,9,2]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,4,7,6,9,10,8] => [3,2,5,4,7,6,10,8,9,1]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,3,4,9,7,6,8,5] => [2,3,4,9,7,6,8,5,1]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,2,3,9,6,5,7,8,4] => [2,3,9,6,5,7,8,4,1]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,4,3,1,5,6,7,8,9,10] => [1,3,2,5,6,7,8,9,10,4]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,3,6,7,8,9,5] => [1,4,3,9,5,6,7,8,2]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,6,7,8,9,4] => [3,2,9,4,5,6,7,8,1]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7,8,9,10] => [2,1,3,5,6,7,8,9,10,4]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,6,7,2,8,9] => [7,2,3,4,5,6,8,9,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,4,3,6,5,7,10,8,9,1] => [1,3,2,5,4,6,8,9,7,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,5,6,7,9,8,1,10] => [1,2,3,4,5,6,8,7,10,9]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,3,4,6,7,9,8,5] => [2,3,4,9,5,6,8,7,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [12,2,3,4,5,6,7,8,9,10,11,1] => [2,3,4,5,6,7,8,9,10,11,1,12]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [11,2,3,4,5,6,7,8,10,9,1] => [2,3,4,5,6,7,8,10,9,1,11]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [10,2,3,4,5,6,9,8,7,1] => [2,3,4,5,6,9,8,7,1,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [11,2,3,4,5,6,7,10,9,8,1] => [2,3,4,5,6,7,10,9,8,1,11]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [10,2,3,4,5,9,7,8,6,1] => [2,3,4,5,9,7,8,6,1,10]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,2,5,4,7,6,9,8,3] => [2,9,4,3,6,5,8,7,1]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,10,9,2] => [10,3,2,5,4,7,6,9,8,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,3,4,5,7,8,9,10,6] => [1,3,4,5,10,6,7,8,9,2]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [8,2,3,4,5,6,7,10,9,1] => [2,3,4,5,6,7,1,9,8,10]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,2,10,4,5,6,7,8,9,1] => [2,1,4,5,6,7,8,9,3,10]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10,11,12] => [2,1,4,5,6,7,8,9,10,11,12,3]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7,10,9] => [1,6,4,3,5,8,7,10,9,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,4,3,7,6,8,5,10,9] => [1,4,3,8,6,5,7,10,9,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,7,6,8,5,10,9] => [2,1,3,8,6,5,7,10,9,4]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,7,6,8,3,10,9] => [1,8,4,3,6,5,7,10,9,2]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [9,6,4,3,5,7,2,8,10,1] => [7,4,3,5,2,6,8,1,9,10]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,6,5,9,8,10,7] => [2,1,3,6,5,10,8,7,9,4]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3,9,8,10,7] => [1,6,4,3,5,10,8,7,9,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,5,4,6,1,9,8,10,7] => [2,1,4,3,5,10,8,7,9,6]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,4,1,7,6,9,8,10,5] => [2,1,3,10,6,5,8,7,9,4]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => [1,4,3,6,5,8,7,10,9,12,11,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7,10,9,12,11] => [2,1,3,6,5,8,7,10,9,12,11,4]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7,10,9,12,11] => [1,6,4,3,5,8,7,10,9,12,11,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7,10,9,12,11] => [2,1,4,3,5,8,7,10,9,12,11,6]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,7,6,8,5,10,9,12,11] => [1,4,3,8,6,5,7,10,9,12,11,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,7,6,8,5,10,9,12,11] => [2,1,3,8,6,5,7,10,9,12,11,4]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,5,4,7,6,8,3,10,9,12,11] => [1,8,4,3,6,5,7,10,9,12,11,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,5,4,7,6,8,1,10,9,12,11] => [2,1,4,3,6,5,7,10,9,12,11,8]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,4,3,6,5,9,8,10,7,12,11] => [1,4,3,6,5,10,8,7,9,12,11,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5,9,8,10,7,12,11] => [2,1,3,6,5,10,8,7,9,12,11,4]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,6,3,9,8,10,7,12,11] => [1,6,4,3,5,10,8,7,9,12,11,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,9,8,10,7,12,11] => [2,1,4,3,5,10,8,7,9,12,11,6]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,1,4,3,7,6,9,8,10,5,12,11] => [1,4,3,10,6,5,8,7,9,12,11,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,7,6,9,8,10,5,12,11] => [2,1,3,10,6,5,8,7,9,12,11,4]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,7,6,9,8,10,3,12,11] => [1,10,4,3,6,5,8,7,9,12,11,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,7,6,9,8,10,1,12,11] => [2,1,4,3,6,5,8,7,9,12,11,10]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,8,5,4,6,3,7,9,2,10,12,1] => [9,6,4,3,5,7,2,8,10,1,11,12]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,6,5,8,7,11,10,12,9] => [1,4,3,6,5,8,7,12,10,9,11,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,6,5,8,7,11,10,12,9] => [2,1,3,6,5,8,7,12,10,9,11,4]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3,8,7,11,10,12,9] => [1,6,4,3,5,8,7,12,10,9,11,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,2,5,4,6,1,8,7,11,10,12,9] => [2,1,4,3,5,8,7,12,10,9,11,6]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,6,8,5,11,10,12,9] => [1,4,3,8,6,5,7,12,10,9,11,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5,11,10,12,9] => [2,1,3,8,6,5,7,12,10,9,11,4]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3,11,10,12,9] => [1,8,4,3,6,5,7,12,10,9,11,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1,11,10,12,9] => [2,1,4,3,6,5,7,12,10,9,11,8]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,4,3,6,5,9,8,11,10,12,7] => [1,4,3,6,5,12,8,7,10,9,11,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,4,1,6,5,9,8,11,10,12,7] => [2,1,3,6,5,12,8,7,10,9,11,4]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,6,3,9,8,11,10,12,7] => [1,6,4,3,5,12,8,7,10,9,11,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1,9,8,11,10,12,7] => [2,1,4,3,5,12,8,7,10,9,11,6]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,1,4,3,7,6,9,8,11,10,12,5] => [1,4,3,12,6,5,8,7,10,9,11,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,4,1,7,6,9,8,11,10,12,5] => [2,1,3,12,6,5,8,7,10,9,11,4]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,9,8,11,10,12,3] => [1,12,4,3,6,5,8,7,10,9,11,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,9,8,11,10,12,1] => [2,1,4,3,6,5,8,7,10,9,11,12]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,5,6,7,1,9,8,10] => [1,2,3,4,5,6,9,8,10,7]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,7,8,9,10,2,11] => [10,2,3,4,5,6,7,8,9,11,1]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [10,3,2,5,4,7,6,9,8,1] => [3,2,5,4,7,6,9,8,1,10]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [10,9,8,7,6,5,4,3,2,1,12,11] => [9,8,7,6,5,4,3,2,1,12,11,10]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,2,11,10,9,8,7,6,5,4,3] => [2,11,10,9,8,7,6,5,4,3,1]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [12,11,10,9,8,6,7,5,4,3,2,1] => [11,10,9,8,6,7,5,4,3,2,1,12]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [10,9,3,7,6,5,4,8,2,1] => [9,3,7,6,5,4,8,2,1,10]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,4,2,6,5,8,7,10,9] => [4,2,3,6,5,8,7,10,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,7,8,9,1,11,10] => [1,2,3,4,5,6,7,8,11,10,9]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,5,1,7,8,9,6] => [1,2,3,4,9,6,7,8,5]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,7,8,9,11,10] => [1,3,4,5,6,7,8,9,11,10,2]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,4,6,10,7,8,9,1] => [1,2,4,3,5,7,8,9,6,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,2,4,5,6,7,8,10,9,1] => [2,1,3,4,5,6,7,9,8,10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [7,6,5,4,3,2,1,9,10,8] => [6,5,4,3,2,1,10,8,9,7]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8,9,10,11,12] => [3,2,4,5,6,7,8,9,10,11,12,1]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,5,6,9,8,7,2] => [9,2,3,4,5,8,7,6,1]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,1,4,6,5,3,8,7,10,9] => [1,6,3,5,4,8,7,10,9,2]
[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] => [1,4,3,8,5,7,6,10,9,2]
[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] => [1,4,3,6,5,10,7,9,8,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,1,4,6,5,8,7,10,9,3] => [1,10,3,5,4,7,6,9,8,2]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [3,2,1,7,5,6,4,9,8] => [2,1,7,5,6,4,9,8,3]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [10,2,3,4,9,6,7,8,5,1] => [2,3,4,9,6,7,8,5,1,10]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [10,2,3,9,5,6,7,8,4,1] => [2,3,9,5,6,7,8,4,1,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [11,2,3,4,5,6,10,8,9,7,1] => [2,3,4,5,6,10,8,9,7,1,11]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [11,2,3,4,5,10,7,8,9,6,1] => [2,3,4,5,10,7,8,9,6,1,11]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [11,2,3,4,10,6,7,8,9,5,1] => [2,3,4,10,6,7,8,9,5,1,11]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [11,2,3,10,5,6,7,8,9,4,1] => [2,3,10,5,6,7,8,9,4,1,11]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [11,2,10,4,5,6,7,8,9,3,1] => [2,10,4,5,6,7,8,9,3,1,11]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,3,11,10,9,8,7,6,5,4,2] => [11,2,10,9,8,7,6,5,4,3,1]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3,8,10,9,7] => [1,6,3,5,4,10,7,9,8,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,1,4,6,5,8,7,3,10,9] => [1,8,3,5,4,7,6,10,9,2]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,5,8,10,9,7] => [1,3,2,6,5,10,7,9,8,4]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,8,7,5,10,9] => [1,3,2,8,5,7,6,10,9,4]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,5,8,7,10,12,11,9] => [1,4,3,6,5,8,7,12,9,11,10,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,1,4,3,6,5,8,10,9,7,12,11] => [1,4,3,6,5,10,7,9,8,12,11,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,8,7,5,10,9,12,11] => [1,4,3,8,5,7,6,10,9,12,11,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,8,7,5,10,12,11,9] => [1,4,3,8,5,7,6,12,9,11,10,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,6,5,3,8,7,10,9,12,11] => [1,6,3,5,4,8,7,10,9,12,11,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3,8,7,10,12,11,9] => [1,6,3,5,4,8,7,12,9,11,10,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,1,4,6,5,3,8,10,9,7,12,11] => [1,6,3,5,4,10,7,9,8,12,11,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,1,4,6,5,3,8,10,9,12,11,7] => [1,6,3,5,4,12,7,9,8,11,10,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,1,4,6,5,8,7,3,10,9,12,11] => [1,8,3,5,4,7,6,10,9,12,11,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,8,7,3,10,12,11,9] => [1,8,3,5,4,7,6,12,9,11,10,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,1,4,6,5,8,7,10,9,3,12,11] => [1,10,3,5,4,7,6,9,8,12,11,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,1,4,6,5,8,7,10,9,12,11,3] => [1,12,3,5,4,7,6,9,8,11,10,2]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,5,8,7,10,9,12,11] => [1,3,2,6,5,8,7,10,9,12,11,4]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,5,8,7,10,12,11,9] => [1,3,2,6,5,8,7,12,9,11,10,4]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5,8,10,9,7,12,11] => [1,3,2,6,5,10,7,9,8,12,11,4]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,8,7,5,10,9,12,11] => [1,3,2,8,5,7,6,10,9,12,11,4]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5,10,12,11,9] => [1,3,2,8,5,7,6,12,9,11,10,4]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,8,7,10,9,12,11,1] => [1,3,2,5,4,7,6,9,8,11,10,12]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,8,7,9] => [4,2,3,6,5,8,7,9,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3,2,7,6,5,10,9,8,1] => [3,2,1,6,5,4,9,8,7,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,5,6,7,1,9,10,8] => [1,2,3,4,5,6,10,8,9,7]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [4,2,3,5,6,7,8,9,1,10] => [2,3,1,4,5,6,7,8,10,9]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,5,8,9,10,7] => [1,2,3,6,5,10,7,8,9,4]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,9,8,11,10,12] => [3,2,5,4,7,6,9,8,11,10,12,1]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [12,11,10,9,7,6,5,8,4,3,2,1] => [11,10,9,7,6,5,8,4,3,2,1,12]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,3,4,6,7,8,10,9,5] => [2,3,4,10,5,6,7,9,8,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,3,4,5,7,8,10,9,6] => [2,3,4,5,10,6,7,9,8,1]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,4,3,6,7,8,9,10,5] => [1,4,3,10,5,6,7,8,9,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,3,6,5,8,9,10,7] => [1,4,3,6,5,10,7,8,9,2]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,6,5,10,8,9,7] => [2,3,1,6,5,10,8,9,7,4]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,8,7,9] => [1,2,3,6,5,8,7,9,4]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,4,5,1,7,6,9,8,10] => [1,2,3,4,7,6,9,8,10,5]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6,9,8] => [5,2,3,4,7,6,9,8,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6,9,8] => [1,2,3,4,7,6,9,8,5]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,4,5,2,7,6,9,8,10] => [5,2,3,4,7,6,9,8,10,1]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,4,6,5,8,7,9] => [1,2,4,6,5,8,7,9,3]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [8,6,4,3,5,7,2,9,1,10] => [7,4,3,5,2,6,1,8,10,9]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [10,9,6,5,4,3,8,7,2,1] => [9,6,5,4,3,8,7,2,1,10]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7,10,9] => [3,2,5,4,1,8,7,10,9,6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,6,7,8,9,11,10,12] => [2,3,4,5,6,7,8,9,11,10,12,1]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,4,10,9,8,7,6,5,3] => [2,10,3,9,8,7,6,5,4,1]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,10,4,5,6,7,8,9,2] => [10,2,4,5,6,7,8,9,3,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7,10,9] => [1,2,3,4,5,8,7,10,9,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,8,7,10,9] => [1,2,3,6,5,8,7,10,9,4]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,9,10,11,1,12] => [1,2,3,4,5,6,7,8,9,10,12,11]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,4,7,6,9,8,11,12,10] => [3,2,5,4,7,6,9,8,12,10,11,1]
Map
to non-crossing permutation
Description
Sends a Dyck path D with valley at positions {(i1,j1),…,(ik,jk)} to the unique non-crossing permutation π having descents {i1,…,ik} and whose inverse has descents {j1,…,jk}.
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to n(n−1) minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to n(n−1) minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
Map
Inverse Kreweras complement
Description
Sends the permutation π∈Sn to the permutation cπ−1 where c=(1,…,n) is the long cycle.
searching the database
Sorry, this map was not found in the database.