Identifier
Mp00023:
Dyck paths
—to non-crossing permutation⟶
Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00236: Permutations —Clarke-Steingrimsson-Zeng inverse⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00236: Permutations —Clarke-Steingrimsson-Zeng inverse⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
[1,0] => [1] => [1] => [1] => [1]
[1,0,1,0] => [1,2] => [2,1] => [2,1] => [2,1]
[1,1,0,0] => [2,1] => [1,2] => [1,2] => [1,2]
[1,0,1,0,1,0] => [1,2,3] => [2,3,1] => [3,2,1] => [2,3,1]
[1,0,1,1,0,0] => [1,3,2] => [2,1,3] => [2,1,3] => [2,1,3]
[1,1,0,0,1,0] => [2,1,3] => [3,2,1] => [2,3,1] => [3,2,1]
[1,1,0,1,0,0] => [2,3,1] => [1,2,3] => [1,2,3] => [1,2,3]
[1,1,1,0,0,0] => [3,2,1] => [1,3,2] => [1,3,2] => [1,3,2]
[1,0,1,0,1,0,1,0] => [1,2,3,4] => [2,3,4,1] => [4,3,2,1] => [2,3,4,1]
[1,0,1,0,1,1,0,0] => [1,2,4,3] => [2,3,1,4] => [3,2,1,4] => [2,3,1,4]
[1,0,1,1,0,0,1,0] => [1,3,2,4] => [2,4,3,1] => [3,4,2,1] => [2,4,3,1]
[1,0,1,1,0,1,0,0] => [1,3,4,2] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4]
[1,0,1,1,1,0,0,0] => [1,4,3,2] => [2,1,4,3] => [2,1,4,3] => [2,1,4,3]
[1,1,0,0,1,0,1,0] => [2,1,3,4] => [3,2,4,1] => [2,4,3,1] => [3,2,4,1]
[1,1,0,0,1,1,0,0] => [2,1,4,3] => [3,2,1,4] => [2,3,1,4] => [3,2,1,4]
[1,1,0,1,0,0,1,0] => [2,3,1,4] => [4,2,3,1] => [2,3,4,1] => [4,2,3,1]
[1,1,0,1,0,1,0,0] => [2,3,4,1] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4]
[1,1,0,1,1,0,0,0] => [2,4,3,1] => [1,2,4,3] => [1,2,4,3] => [1,2,4,3]
[1,1,1,0,0,0,1,0] => [3,2,1,4] => [4,3,2,1] => [3,2,4,1] => [4,3,2,1]
[1,1,1,0,0,1,0,0] => [3,2,4,1] => [1,3,2,4] => [1,3,2,4] => [1,3,2,4]
[1,1,1,0,1,0,0,0] => [4,2,3,1] => [1,3,4,2] => [1,4,3,2] => [1,3,4,2]
[1,1,1,1,0,0,0,0] => [4,3,2,1] => [1,4,3,2] => [1,3,4,2] => [1,4,3,2]
[1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => [2,3,4,5,1] => [5,4,3,2,1] => [2,3,4,5,1]
[1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => [2,3,4,1,5] => [4,3,2,1,5] => [2,3,4,1,5]
[1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => [2,3,5,4,1] => [4,5,3,2,1] => [2,3,5,4,1]
[1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => [2,3,1,4,5] => [3,2,1,4,5] => [2,3,1,4,5]
[1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => [2,3,1,5,4] => [3,2,1,5,4] => [2,3,1,5,4]
[1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => [2,4,3,5,1] => [3,5,4,2,1] => [2,4,3,5,1]
[1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => [2,4,3,1,5] => [3,4,2,1,5] => [2,4,3,1,5]
[1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => [2,5,3,4,1] => [3,4,5,2,1] => [2,5,3,4,1]
[1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5]
[1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => [2,1,3,5,4] => [2,1,3,5,4] => [2,1,3,5,4]
[1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => [2,5,4,3,1] => [4,3,5,2,1] => [2,5,4,3,1]
[1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => [2,1,4,3,5] => [2,1,4,3,5] => [2,1,4,3,5]
[1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => [2,1,4,5,3] => [2,1,5,4,3] => [2,1,4,5,3]
[1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => [2,1,5,4,3] => [2,1,4,5,3] => [2,1,5,4,3]
[1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => [3,2,4,5,1] => [2,5,4,3,1] => [3,2,4,5,1]
[1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => [3,2,4,1,5] => [2,4,3,1,5] => [3,2,4,1,5]
[1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => [3,2,5,4,1] => [2,4,5,3,1] => [3,2,5,4,1]
[1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => [3,2,1,4,5] => [2,3,1,4,5] => [3,2,1,4,5]
[1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => [3,2,1,5,4] => [2,3,1,5,4] => [3,2,1,5,4]
[1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => [4,2,3,5,1] => [2,3,5,4,1] => [4,2,3,5,1]
[1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => [4,2,3,1,5] => [2,3,4,1,5] => [4,2,3,1,5]
[1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => [5,2,3,4,1] => [2,3,4,5,1] => [5,2,3,4,1]
[1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5]
[1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4]
[1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => [5,2,4,3,1] => [2,4,3,5,1] => [5,2,4,3,1]
[1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5]
[1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => [1,2,4,5,3] => [1,2,5,4,3] => [1,2,4,5,3]
[1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => [1,2,5,4,3] => [1,2,4,5,3] => [1,2,5,4,3]
[1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => [4,3,2,5,1] => [3,2,5,4,1] => [4,3,2,5,1]
[1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => [4,3,2,1,5] => [3,2,4,1,5] => [4,3,2,1,5]
[1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => [5,3,2,4,1] => [3,2,4,5,1] => [5,3,2,4,1]
[1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => [1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5]
[1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => [1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4]
[1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => [5,3,4,2,1] => [4,3,2,5,1] => [5,3,4,2,1]
[1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => [1,3,4,2,5] => [1,4,3,2,5] => [1,3,4,2,5]
[1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => [1,3,4,5,2] => [1,5,4,3,2] => [1,3,4,5,2]
[1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => [1,3,5,4,2] => [1,4,5,3,2] => [1,3,5,4,2]
[1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => [5,4,3,2,1] => [3,4,2,5,1] => [5,4,3,2,1]
[1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => [1,4,3,2,5] => [1,3,4,2,5] => [1,4,3,2,5]
[1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => [1,4,3,5,2] => [1,3,5,4,2] => [1,4,3,5,2]
[1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => [1,5,3,4,2] => [1,3,4,5,2] => [1,5,3,4,2]
[1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => [1,5,4,3,2] => [1,4,3,5,2] => [1,5,4,3,2]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [6,5,4,3,2,1] => [2,3,4,5,6,1]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [5,4,3,2,1,6] => [2,3,4,5,1,6]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [5,6,4,3,2,1] => [2,3,4,6,5,1]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [4,3,2,1,5,6] => [2,3,4,1,5,6]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [4,3,2,1,6,5] => [2,3,4,1,6,5]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [4,6,5,3,2,1] => [2,3,5,4,6,1]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [4,5,3,2,1,6] => [2,3,5,4,1,6]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [4,5,6,3,2,1] => [2,3,6,4,5,1]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [2,3,1,4,5,6]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => [2,3,1,4,6,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [5,4,6,3,2,1] => [2,3,6,5,4,1]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => [2,3,1,5,4,6] => [3,2,1,5,4,6] => [2,3,1,5,4,6]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,6,4,5,3] => [2,3,1,5,6,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => [3,2,1,5,6,4] => [2,3,1,6,5,4]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [3,6,5,4,2,1] => [2,4,3,5,6,1]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [3,5,4,2,1,6] => [2,4,3,5,1,6]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [3,5,6,4,2,1] => [2,4,3,6,5,1]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => [2,4,3,1,5,6] => [3,4,2,1,5,6] => [2,4,3,1,5,6]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => [3,4,2,1,6,5] => [2,4,3,1,6,5]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [3,4,6,5,2,1] => [2,5,3,4,6,1]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => [2,5,3,4,1,6] => [3,4,5,2,1,6] => [2,5,3,4,1,6]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => [2,6,3,4,5,1] => [3,4,5,6,2,1] => [2,6,3,4,5,1]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => [2,6,3,5,4,1] => [3,5,4,6,2,1] => [2,6,3,5,4,1]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,6,4,5,2] => [2,1,3,5,6,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => [2,1,3,6,5,4]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [4,3,6,5,2,1] => [2,5,4,3,6,1]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [4,3,5,2,1,6] => [2,5,4,3,1,6]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => [2,6,4,3,5,1] => [4,3,5,6,2,1] => [2,6,4,3,5,1]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,5,3,4,2,6] => [2,6,4,5,3,1] => [5,4,3,6,2,1] => [2,6,4,5,3,1]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => [2,1,4,5,3,6] => [2,1,5,4,3,6] => [2,1,4,5,3,6]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,6,3,4,5,2] => [2,1,4,5,6,3] => [2,1,6,5,4,3] => [2,1,4,5,6,3]
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,6,3,5,4,2] => [2,1,4,6,5,3] => [2,1,5,6,4,3] => [2,1,4,6,5,3]
>>> Load all 1533 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [4,5,3,6,2,1] => [2,6,5,4,3,1]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => [2,1,5,4,3,6]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,6,4,3,5,2] => [2,1,5,4,6,3] => [2,1,4,6,5,3] => [2,1,5,4,6,3]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,6,4,5,3,2] => [2,1,6,4,5,3] => [2,1,4,5,6,3] => [2,1,6,4,5,3]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => [2,1,6,5,4,3] => [2,1,5,4,6,3] => [2,1,6,5,4,3]
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => [3,2,4,5,6,1] => [2,6,5,4,3,1] => [3,2,4,5,6,1]
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => [3,2,4,5,1,6] => [2,5,4,3,1,6] => [3,2,4,5,1,6]
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => [3,2,4,6,5,1] => [2,5,6,4,3,1] => [3,2,4,6,5,1]
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => [3,2,4,1,5,6] => [2,4,3,1,5,6] => [3,2,4,1,5,6]
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => [3,2,4,1,6,5] => [2,4,3,1,6,5] => [3,2,4,1,6,5]
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => [3,2,5,4,6,1] => [2,4,6,5,3,1] => [3,2,5,4,6,1]
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => [3,2,5,4,1,6] => [2,4,5,3,1,6] => [3,2,5,4,1,6]
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => [3,2,6,4,5,1] => [2,4,5,6,3,1] => [3,2,6,4,5,1]
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [3,2,1,4,5,6]
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => [3,2,1,4,6,5]
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => [3,2,6,5,4,1] => [2,5,4,6,3,1] => [3,2,6,5,4,1]
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => [3,2,1,5,4,6]
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,6,4,5,3] => [3,2,1,5,6,4] => [2,3,1,6,5,4] => [3,2,1,5,6,4]
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => [3,2,1,6,5,4]
[1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => [4,2,3,5,6,1] => [2,3,6,5,4,1] => [4,2,3,5,6,1]
[1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => [4,2,3,5,1,6] => [2,3,5,4,1,6] => [4,2,3,5,1,6]
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => [4,2,3,6,5,1] => [2,3,5,6,4,1] => [4,2,3,6,5,1]
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => [4,2,3,1,5,6] => [2,3,4,1,5,6] => [4,2,3,1,5,6]
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => [4,2,3,1,6,5] => [2,3,4,1,6,5] => [4,2,3,1,6,5]
[1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => [5,2,3,4,6,1] => [2,3,4,6,5,1] => [5,2,3,4,6,1]
[1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => [5,2,3,4,1,6]
[1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => [6,2,3,4,5,1]
[1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => [6,2,3,5,4,1] => [2,3,5,4,6,1] => [6,2,3,5,4,1]
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6]
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4]
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4]
[1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => [5,2,4,3,6,1] => [2,4,3,6,5,1] => [5,2,4,3,6,1]
[1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => [5,2,4,3,1,6] => [2,4,3,5,1,6] => [5,2,4,3,1,6]
[1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => [6,2,4,3,5,1] => [2,4,3,5,6,1] => [6,2,4,3,5,1]
[1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6]
[1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => [6,2,4,5,3,1] => [2,5,4,3,6,1] => [6,2,4,5,3,1]
[1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => [1,2,4,5,3,6]
[1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => [1,2,4,5,6,3] => [1,2,6,5,4,3] => [1,2,4,5,6,3]
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => [1,2,4,6,5,3] => [1,2,5,6,4,3] => [1,2,4,6,5,3]
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => [6,2,5,4,3,1] => [2,4,5,3,6,1] => [6,2,5,4,3,1]
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => [1,2,5,4,3,6]
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => [1,2,5,4,6,3] => [1,2,4,6,5,3] => [1,2,5,4,6,3]
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => [1,2,6,4,5,3] => [1,2,4,5,6,3] => [1,2,6,4,5,3]
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => [1,2,6,5,4,3] => [1,2,5,4,6,3] => [1,2,6,5,4,3]
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => [4,3,2,5,6,1] => [3,2,6,5,4,1] => [4,3,2,5,6,1]
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => [4,3,2,5,1,6] => [3,2,5,4,1,6] => [4,3,2,5,1,6]
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => [4,3,2,6,5,1] => [3,2,5,6,4,1] => [4,3,2,6,5,1]
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => [4,3,2,1,5,6] => [3,2,4,1,5,6] => [4,3,2,1,5,6]
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => [4,3,2,1,6,5] => [3,2,4,1,6,5] => [4,3,2,1,6,5]
[1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => [5,3,2,4,6,1] => [3,2,4,6,5,1] => [5,3,2,4,6,1]
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => [5,3,2,4,1,6] => [3,2,4,5,1,6] => [5,3,2,4,1,6]
[1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => [6,3,2,4,5,1] => [3,2,4,5,6,1] => [6,3,2,4,5,1]
[1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6]
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => [6,3,2,5,4,1] => [3,2,5,4,6,1] => [6,3,2,5,4,1]
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4]
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => [1,3,2,6,5,4]
[1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => [5,3,4,2,6,1] => [4,3,2,6,5,1] => [5,3,4,2,6,1]
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => [5,3,4,2,1,6] => [4,3,2,5,1,6] => [5,3,4,2,1,6]
[1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => [6,3,4,2,5,1] => [4,3,2,5,6,1] => [6,3,4,2,5,1]
[1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => [1,3,4,2,5,6]
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5]
[1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => [6,3,4,5,2,1] => [5,4,3,2,6,1] => [6,3,4,5,2,1]
[1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => [1,3,4,5,2,6] => [1,5,4,3,2,6] => [1,3,4,5,2,6]
[1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => [1,3,4,5,6,2] => [1,6,5,4,3,2] => [1,3,4,5,6,2]
[1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => [1,3,4,6,5,2] => [1,5,6,4,3,2] => [1,3,4,6,5,2]
[1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => [6,3,5,4,2,1] => [4,5,3,2,6,1] => [6,3,5,4,2,1]
[1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => [1,3,5,4,2,6] => [1,4,5,3,2,6] => [1,3,5,4,2,6]
[1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => [1,3,5,4,6,2] => [1,4,6,5,3,2] => [1,3,5,4,6,2]
[1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => [1,3,6,4,5,2] => [1,4,5,6,3,2] => [1,3,6,4,5,2]
[1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => [1,3,6,5,4,2] => [1,5,4,6,3,2] => [1,3,6,5,4,2]
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => [5,4,3,2,6,1] => [3,4,2,6,5,1] => [5,4,3,2,6,1]
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => [5,4,3,2,1,6] => [3,4,2,5,1,6] => [5,4,3,2,1,6]
[1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => [6,4,3,2,5,1] => [3,4,2,5,6,1] => [6,4,3,2,5,1]
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => [1,4,3,2,5,6]
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => [1,4,3,2,6,5]
[1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => [6,4,3,5,2,1] => [3,5,4,2,6,1] => [6,4,3,5,2,1]
[1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => [1,4,3,5,2,6] => [1,3,5,4,2,6] => [1,4,3,5,2,6]
[1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => [1,4,3,5,6,2] => [1,3,6,5,4,2] => [1,4,3,5,6,2]
[1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => [1,4,3,6,5,2] => [1,3,5,6,4,2] => [1,4,3,6,5,2]
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => [6,5,3,4,2,1] => [3,4,5,2,6,1] => [6,5,3,4,2,1]
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => [1,5,3,4,2,6] => [1,3,4,5,2,6] => [1,5,3,4,2,6]
[1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => [1,5,3,4,6,2] => [1,3,4,6,5,2] => [1,5,3,4,6,2]
[1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => [1,6,3,4,5,2]
[1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => [1,6,3,5,4,2] => [1,3,5,4,6,2] => [1,6,3,5,4,2]
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => [6,5,4,3,2,1] => [4,3,5,2,6,1] => [6,5,4,3,2,1]
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => [1,5,4,3,2,6] => [1,4,3,5,2,6] => [1,5,4,3,2,6]
[1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => [1,5,4,3,6,2] => [1,4,3,6,5,2] => [1,5,4,3,6,2]
[1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => [1,6,4,3,5,2] => [1,4,3,5,6,2] => [1,6,4,3,5,2]
[1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => [1,6,4,5,3,2] => [1,5,4,3,6,2] => [1,6,4,5,3,2]
[1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => [1,6,5,4,3,2] => [1,4,5,3,6,2] => [1,6,5,4,3,2]
[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] => [7,6,5,4,3,2,1] => [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] => [2,3,4,5,6,1,7] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [6,7,5,4,3,2,1] => [2,3,4,5,7,6,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,6,7,5] => [2,3,4,5,1,6,7] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => [5,4,3,2,1,7,6] => [2,3,4,5,1,7,6]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [5,7,6,4,3,2,1] => [2,3,4,6,5,7,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6] => [2,3,4,6,5,1,7] => [5,6,4,3,2,1,7] => [2,3,4,6,5,1,7]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [5,6,7,4,3,2,1] => [2,3,4,7,5,6,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,5,6,7,4] => [2,3,4,1,5,6,7] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,5,7,6,4] => [2,3,4,1,5,7,6] => [4,3,2,1,5,7,6] => [2,3,4,1,5,7,6]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,5,7,4] => [2,3,4,1,6,5,7] => [4,3,2,1,6,5,7] => [2,3,4,1,6,5,7]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,7,5,6,4] => [2,3,4,1,6,7,5] => [4,3,2,1,7,6,5] => [2,3,4,1,6,7,5]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,7,6,5,4] => [2,3,4,1,7,6,5] => [4,3,2,1,6,7,5] => [2,3,4,1,7,6,5]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [4,7,6,5,3,2,1] => [2,3,5,4,6,7,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,4,3,5,7,6] => [2,3,5,4,6,1,7] => [4,6,5,3,2,1,7] => [2,3,5,4,6,1,7]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [4,6,7,5,3,2,1] => [2,3,5,4,7,6,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,3,6,7,5] => [2,3,5,4,1,6,7] => [4,5,3,2,1,6,7] => [2,3,5,4,1,6,7]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,7,6,5] => [2,3,5,4,1,7,6] => [4,5,3,2,1,7,6] => [2,3,5,4,1,7,6]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [4,5,7,6,3,2,1] => [2,3,6,4,5,7,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,4,5,3,7,6] => [2,3,6,4,5,1,7] => [4,5,6,3,2,1,7] => [2,3,6,4,5,1,7]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [4,5,6,7,3,2,1] => [2,3,7,4,5,6,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,3] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,4,5,7,6,3] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [4,6,5,7,3,2,1] => [2,3,7,4,6,5,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,4,6,5,7,3] => [2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,4,7,5,6,3] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,4,7,6,5,3] => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [5,4,7,6,3,2,1] => [2,3,6,5,4,7,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,5,4,3,7,6] => [2,3,6,5,4,1,7] => [5,4,6,3,2,1,7] => [2,3,6,5,4,1,7]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [5,4,6,7,3,2,1] => [2,3,7,5,4,6,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5,4,6,7,3] => [2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5,4,7,6,3] => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => [6,5,4,7,3,2,1] => [2,3,7,5,6,4,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,6,4,5,7,3] => [2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,7,4,5,6,3] => [2,3,1,5,6,7,4] => [3,2,1,7,6,5,4] => [2,3,1,5,6,7,4]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,7,4,6,5,3] => [2,3,1,5,7,6,4] => [3,2,1,6,7,5,4] => [2,3,1,5,7,6,4]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [5,6,4,7,3,2,1] => [2,3,7,6,5,4,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,5,4,7,3] => [2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => [2,3,1,6,5,4,7]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,7,5,4,6,3] => [2,3,1,6,5,7,4] => [3,2,1,5,7,6,4] => [2,3,1,6,5,7,4]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,7,5,6,4,3] => [2,3,1,7,5,6,4] => [3,2,1,5,6,7,4] => [2,3,1,7,5,6,4]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,6,5,4,3] => [2,3,1,7,6,5,4] => [3,2,1,6,5,7,4] => [2,3,1,7,6,5,4]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [3,7,6,5,4,2,1] => [2,4,3,5,6,7,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,7,6] => [2,4,3,5,6,1,7] => [3,6,5,4,2,1,7] => [2,4,3,5,6,1,7]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [3,6,7,5,4,2,1] => [2,4,3,5,7,6,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,2,4,6,7,5] => [2,4,3,5,1,6,7] => [3,5,4,2,1,6,7] => [2,4,3,5,1,6,7]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,4,7,6,5] => [2,4,3,5,1,7,6] => [3,5,4,2,1,7,6] => [2,4,3,5,1,7,6]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [3,5,7,6,4,2,1] => [2,4,3,6,5,7,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6] => [2,4,3,6,5,1,7] => [3,5,6,4,2,1,7] => [2,4,3,6,5,1,7]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [3,5,6,7,4,2,1] => [2,4,3,7,5,6,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,6,7,4] => [2,4,3,1,5,6,7] => [3,4,2,1,5,6,7] => [2,4,3,1,5,6,7]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,6,4] => [2,4,3,1,5,7,6] => [3,4,2,1,5,7,6] => [2,4,3,1,5,7,6]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [3,6,5,7,4,2,1] => [2,4,3,7,6,5,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,5,7,4] => [2,4,3,1,6,5,7] => [3,4,2,1,6,5,7] => [2,4,3,1,6,5,7]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,7,5,6,4] => [2,4,3,1,6,7,5] => [3,4,2,1,7,6,5] => [2,4,3,1,6,7,5]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,7,6,5,4] => [2,4,3,1,7,6,5] => [3,4,2,1,6,7,5] => [2,4,3,1,7,6,5]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [3,4,7,6,5,2,1] => [2,5,3,4,6,7,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5,7,6] => [2,5,3,4,6,1,7] => [3,4,6,5,2,1,7] => [2,5,3,4,6,1,7]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [3,4,6,7,5,2,1] => [2,5,3,4,7,6,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,2,6,7,5] => [2,5,3,4,1,6,7] => [3,4,5,2,1,6,7] => [2,5,3,4,1,6,7]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,2,7,6,5] => [2,5,3,4,1,7,6] => [3,4,5,2,1,7,6] => [2,5,3,4,1,7,6]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [3,4,5,7,6,2,1] => [2,6,3,4,5,7,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6] => [2,6,3,4,5,1,7] => [3,4,5,6,2,1,7] => [2,6,3,4,5,1,7]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,2,7] => [2,7,3,4,5,6,1] => [3,4,5,6,7,2,1] => [2,7,3,4,5,6,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,2] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,7,6,2] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,6,5,2,7] => [2,7,3,4,6,5,1] => [3,4,6,5,7,2,1] => [2,7,3,4,6,5,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,6,5,7,2] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,7,5,6,2] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,7,6,5,2] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => [3,5,4,7,6,2,1] => [2,6,3,5,4,7,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,4,2,7,6] => [2,6,3,5,4,1,7] => [3,5,4,6,2,1,7] => [2,6,3,5,4,1,7]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,4,6,2,7] => [2,7,3,5,4,6,1] => [3,5,4,6,7,2,1] => [2,7,3,5,4,6,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,4,6,7,2] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,4,7,6,2] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,6,4,5,2,7] => [2,7,3,5,6,4,1] => [3,6,5,4,7,2,1] => [2,7,3,5,6,4,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,6,4,5,7,2] => [2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,7,4,5,6,2] => [2,1,3,5,6,7,4] => [2,1,3,7,6,5,4] => [2,1,3,5,6,7,4]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,7,4,6,5,2] => [2,1,3,5,7,6,4] => [2,1,3,6,7,5,4] => [2,1,3,5,7,6,4]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,6,5,4,2,7] => [2,7,3,6,5,4,1] => [3,5,6,4,7,2,1] => [2,7,3,6,5,4,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6,5,4,7,2] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => [2,1,3,6,5,4,7]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,7,5,4,6,2] => [2,1,3,6,5,7,4] => [2,1,3,5,7,6,4] => [2,1,3,6,5,7,4]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,7,5,6,4,2] => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => [2,1,3,7,5,6,4]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => [2,1,3,7,6,5,4] => [2,1,3,6,5,7,4] => [2,1,3,7,6,5,4]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [4,3,7,6,5,2,1] => [2,5,4,3,6,7,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,4,3,2,5,7,6] => [2,5,4,3,6,1,7] => [4,3,6,5,2,1,7] => [2,5,4,3,6,1,7]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [4,3,6,7,5,2,1] => [2,5,4,3,7,6,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3,2,6,7,5] => [2,5,4,3,1,6,7] => [4,3,5,2,1,6,7] => [2,5,4,3,1,6,7]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3,2,7,6,5] => [2,5,4,3,1,7,6] => [4,3,5,2,1,7,6] => [2,5,4,3,1,7,6]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => [4,3,5,7,6,2,1] => [2,6,4,3,5,7,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,3,5,2,7,6] => [2,6,4,3,5,1,7] => [4,3,5,6,2,1,7] => [2,6,4,3,5,1,7]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,3,5,6,2,7] => [2,7,4,3,5,6,1] => [4,3,5,6,7,2,1] => [2,7,4,3,5,6,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,2] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,3,5,7,6,2] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,3,6,5,2,7] => [2,7,4,3,6,5,1] => [4,3,6,5,7,2,1] => [2,7,4,3,6,5,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,3,6,5,7,2] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,3,7,5,6,2] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,3,7,6,5,2] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => [5,4,3,7,6,2,1] => [2,6,4,5,3,7,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,5,3,4,2,7,6] => [2,6,4,5,3,1,7] => [5,4,3,6,2,1,7] => [2,6,4,5,3,1,7]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,5,3,4,6,2,7] => [2,7,4,5,3,6,1] => [5,4,3,6,7,2,1] => [2,7,4,5,3,6,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,5,3,4,6,7,2] => [2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,5,3,4,7,6,2] => [2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,6,3,4,5,2,7] => [2,7,4,5,6,3,1] => [6,5,4,3,7,2,1] => [2,7,4,5,6,3,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,6,3,4,5,7,2] => [2,1,4,5,6,3,7] => [2,1,6,5,4,3,7] => [2,1,4,5,6,3,7]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,7,3,4,5,6,2] => [2,1,4,5,6,7,3] => [2,1,7,6,5,4,3] => [2,1,4,5,6,7,3]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,7,3,4,6,5,2] => [2,1,4,5,7,6,3] => [2,1,6,7,5,4,3] => [2,1,4,5,7,6,3]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,6,3,5,4,2,7] => [2,7,4,6,5,3,1] => [5,6,4,3,7,2,1] => [2,7,4,6,5,3,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,6,3,5,4,7,2] => [2,1,4,6,5,3,7] => [2,1,5,6,4,3,7] => [2,1,4,6,5,3,7]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,7,3,5,4,6,2] => [2,1,4,6,5,7,3] => [2,1,5,7,6,4,3] => [2,1,4,6,5,7,3]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,7,3,5,6,4,2] => [2,1,4,7,5,6,3] => [2,1,5,6,7,4,3] => [2,1,4,7,5,6,3]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => [2,1,4,7,6,5,3] => [2,1,6,5,7,4,3] => [2,1,4,7,6,5,3]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => [4,5,3,7,6,2,1] => [2,6,5,4,3,7,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,4,3,2,7,6] => [2,6,5,4,3,1,7] => [4,5,3,6,2,1,7] => [2,6,5,4,3,1,7]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,4,3,6,2,7] => [2,7,5,4,3,6,1] => [4,5,3,6,7,2,1] => [2,7,5,4,3,6,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,4,3,6,7,2] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => [2,1,5,4,3,6,7]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,4,3,7,6,2] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => [2,1,5,4,3,7,6]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,6,4,3,5,2,7] => [2,7,5,4,6,3,1] => [4,6,5,3,7,2,1] => [2,7,5,4,6,3,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,6,4,3,5,7,2] => [2,1,5,4,6,3,7] => [2,1,4,6,5,3,7] => [2,1,5,4,6,3,7]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,7,4,3,5,6,2] => [2,1,5,4,6,7,3] => [2,1,4,7,6,5,3] => [2,1,5,4,6,7,3]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,7,4,3,6,5,2] => [2,1,5,4,7,6,3] => [2,1,4,6,7,5,3] => [2,1,5,4,7,6,3]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,6,4,5,3,2,7] => [2,7,6,4,5,3,1] => [4,5,6,3,7,2,1] => [2,7,6,4,5,3,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,6,4,5,3,7,2] => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => [2,1,6,4,5,3,7]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,7,4,5,3,6,2] => [2,1,6,4,5,7,3] => [2,1,4,5,7,6,3] => [2,1,6,4,5,7,3]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,7,4,5,6,3,2] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => [2,1,7,4,5,6,3]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => [2,1,7,4,6,5,3] => [2,1,4,6,5,7,3] => [2,1,7,4,6,5,3]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,6,5,4,3,2,7] => [2,7,6,5,4,3,1] => [5,4,6,3,7,2,1] => [2,7,6,5,4,3,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => [2,1,6,5,4,3,7] => [2,1,5,4,6,3,7] => [2,1,6,5,4,3,7]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => [2,1,6,5,4,7,3] => [2,1,5,4,7,6,3] => [2,1,6,5,4,7,3]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => [2,1,7,5,4,6,3] => [2,1,5,4,6,7,3] => [2,1,7,5,4,6,3]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => [2,1,7,5,6,4,3] => [2,1,6,5,4,7,3] => [2,1,7,5,6,4,3]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => [2,1,7,6,5,4,3] => [2,1,5,6,4,7,3] => [2,1,7,6,5,4,3]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => [3,2,4,5,6,7,1] => [2,7,6,5,4,3,1] => [3,2,4,5,6,7,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,7,6] => [3,2,4,5,6,1,7] => [2,6,5,4,3,1,7] => [3,2,4,5,6,1,7]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,6,5,7] => [3,2,4,5,7,6,1] => [2,6,7,5,4,3,1] => [3,2,4,5,7,6,1]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,6,7,5] => [3,2,4,5,1,6,7] => [2,5,4,3,1,6,7] => [3,2,4,5,1,6,7]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,6,5] => [3,2,4,5,1,7,6] => [2,5,4,3,1,7,6] => [3,2,4,5,1,7,6]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,5,4,6,7] => [3,2,4,6,5,7,1] => [2,5,7,6,4,3,1] => [3,2,4,6,5,7,1]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,3,5,4,7,6] => [3,2,4,6,5,1,7] => [2,5,6,4,3,1,7] => [3,2,4,6,5,1,7]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,6,4,7] => [3,2,4,7,5,6,1] => [2,5,6,7,4,3,1] => [3,2,4,7,5,6,1]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,5,6,7,4] => [3,2,4,1,5,6,7] => [2,4,3,1,5,6,7] => [3,2,4,1,5,6,7]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,3,5,7,6,4] => [3,2,4,1,5,7,6] => [2,4,3,1,5,7,6] => [3,2,4,1,5,7,6]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,6,5,4,7] => [3,2,4,7,6,5,1] => [2,6,5,7,4,3,1] => [3,2,4,7,6,5,1]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,6,5,7,4] => [3,2,4,1,6,5,7] => [2,4,3,1,6,5,7] => [3,2,4,1,6,5,7]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,7,5,6,4] => [3,2,4,1,6,7,5] => [2,4,3,1,7,6,5] => [3,2,4,1,6,7,5]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,6,5,4] => [3,2,4,1,7,6,5] => [2,4,3,1,6,7,5] => [3,2,4,1,7,6,5]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7] => [3,2,5,4,6,7,1] => [2,4,7,6,5,3,1] => [3,2,5,4,6,7,1]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,3,5,7,6] => [3,2,5,4,6,1,7] => [2,4,6,5,3,1,7] => [3,2,5,4,6,1,7]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,7] => [3,2,5,4,7,6,1] => [2,4,6,7,5,3,1] => [3,2,5,4,7,6,1]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,7,5] => [3,2,5,4,1,6,7] => [2,4,5,3,1,6,7] => [3,2,5,4,1,6,7]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,7,6,5] => [3,2,5,4,1,7,6] => [2,4,5,3,1,7,6] => [3,2,5,4,1,7,6]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,5,3,6,7] => [3,2,6,4,5,7,1] => [2,4,5,7,6,3,1] => [3,2,6,4,5,7,1]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,4,5,3,7,6] => [3,2,6,4,5,1,7] => [2,4,5,6,3,1,7] => [3,2,6,4,5,1,7]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,3,7] => [3,2,7,4,5,6,1] => [2,4,5,6,7,3,1] => [3,2,7,4,5,6,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,3] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,4,5,7,6,3] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,5,3,7] => [3,2,7,4,6,5,1] => [2,4,6,5,7,3,1] => [3,2,7,4,6,5,1]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,6,5,7,3] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => [3,2,1,4,6,5,7]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,4,7,5,6,3] => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,4,7,6,5,3] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,4,3,6,7] => [3,2,6,5,4,7,1] => [2,5,4,7,6,3,1] => [3,2,6,5,4,7,1]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,5,4,3,7,6] => [3,2,6,5,4,1,7] => [2,5,4,6,3,1,7] => [3,2,6,5,4,1,7]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,4,6,3,7] => [3,2,7,5,4,6,1] => [2,5,4,6,7,3,1] => [3,2,7,5,4,6,1]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,4,6,7,3] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => [3,2,1,5,4,6,7]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,4,7,6,3] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,6,4,5,3,7] => [3,2,7,5,6,4,1] => [2,6,5,4,7,3,1] => [3,2,7,5,6,4,1]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,6,4,5,7,3] => [3,2,1,5,6,4,7] => [2,3,1,6,5,4,7] => [3,2,1,5,6,4,7]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,7,4,5,6,3] => [3,2,1,5,6,7,4] => [2,3,1,7,6,5,4] => [3,2,1,5,6,7,4]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,7,4,6,5,3] => [3,2,1,5,7,6,4] => [2,3,1,6,7,5,4] => [3,2,1,5,7,6,4]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,5,4,3,7] => [3,2,7,6,5,4,1] => [2,5,6,4,7,3,1] => [3,2,7,6,5,4,1]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,6,5,4,7,3] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => [3,2,1,6,5,4,7]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,7,5,4,6,3] => [3,2,1,6,5,7,4] => [2,3,1,5,7,6,4] => [3,2,1,6,5,7,4]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,7,5,6,4,3] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => [3,2,1,7,5,6,4]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => [3,2,1,7,6,5,4] => [2,3,1,6,5,7,4] => [3,2,1,7,6,5,4]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => [4,2,3,5,6,7,1] => [2,3,7,6,5,4,1] => [4,2,3,5,6,7,1]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,7,6] => [4,2,3,5,6,1,7] => [2,3,6,5,4,1,7] => [4,2,3,5,6,1,7]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,1,4,6,5,7] => [4,2,3,5,7,6,1] => [2,3,6,7,5,4,1] => [4,2,3,5,7,6,1]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,1,4,6,7,5] => [4,2,3,5,1,6,7] => [2,3,5,4,1,6,7] => [4,2,3,5,1,6,7]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,1,4,7,6,5] => [4,2,3,5,1,7,6] => [2,3,5,4,1,7,6] => [4,2,3,5,1,7,6]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,1,5,4,6,7] => [4,2,3,6,5,7,1] => [2,3,5,7,6,4,1] => [4,2,3,6,5,7,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6] => [4,2,3,6,5,1,7] => [2,3,5,6,4,1,7] => [4,2,3,6,5,1,7]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1,5,6,4,7] => [4,2,3,7,5,6,1] => [2,3,5,6,7,4,1] => [4,2,3,7,5,6,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,1,5,6,7,4] => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,1,5,7,6,4] => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => [4,2,3,1,5,7,6]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1,6,5,4,7] => [4,2,3,7,6,5,1] => [2,3,6,5,7,4,1] => [4,2,3,7,6,5,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,6,5,7,4] => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => [4,2,3,1,6,5,7]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1,7,5,6,4] => [4,2,3,1,6,7,5] => [2,3,4,1,7,6,5] => [4,2,3,1,6,7,5]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,1,7,6,5,4] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => [4,2,3,1,7,6,5]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => [5,2,3,4,6,7,1] => [2,3,4,7,6,5,1] => [5,2,3,4,6,7,1]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => [5,2,3,4,6,1,7] => [2,3,4,6,5,1,7] => [5,2,3,4,6,1,7]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,7] => [5,2,3,4,7,6,1] => [2,3,4,6,7,5,1] => [5,2,3,4,7,6,1]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,1,6,7,5] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,1,7,6,5] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => [5,2,3,4,1,7,6]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => [6,2,3,4,5,7,1] => [2,3,4,5,7,6,1] => [6,2,3,4,5,7,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1]
[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] => [1,2,3,4,5,6,7] => [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] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,6,5,1,7] => [7,2,3,4,6,5,1] => [2,3,4,6,5,7,1] => [7,2,3,4,6,5,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,7,5,6,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,7,6,5,1] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,5,4,1,6,7] => [6,2,3,5,4,7,1] => [2,3,5,4,7,6,1] => [6,2,3,5,4,7,1]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,3,5,4,1,7,6] => [6,2,3,5,4,1,7] => [2,3,5,4,6,1,7] => [6,2,3,5,4,1,7]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,3,5,4,6,1,7] => [7,2,3,5,4,6,1] => [2,3,5,4,6,7,1] => [7,2,3,5,4,6,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,3,6,4,5,1,7] => [7,2,3,5,6,4,1] => [2,3,6,5,4,7,1] => [7,2,3,5,6,4,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,6,4,5,7,1] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,7,4,5,6,1] => [1,2,3,5,6,7,4] => [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,7,4,6,5,1] => [1,2,3,5,7,6,4] => [1,2,3,6,7,5,4] => [1,2,3,5,7,6,4]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,6,5,4,1,7] => [7,2,3,6,5,4,1] => [2,3,5,6,4,7,1] => [7,2,3,6,5,4,1]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,6,5,4,7,1] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,7,5,4,6,1] => [1,2,3,6,5,7,4] => [1,2,3,5,7,6,4] => [1,2,3,6,5,7,4]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,7,5,6,4,1] => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,7,6,5,4,1] => [1,2,3,7,6,5,4] => [1,2,3,6,5,7,4] => [1,2,3,7,6,5,4]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,3,1,5,6,7] => [5,2,4,3,6,7,1] => [2,4,3,7,6,5,1] => [5,2,4,3,6,7,1]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,4,3,1,5,7,6] => [5,2,4,3,6,1,7] => [2,4,3,6,5,1,7] => [5,2,4,3,6,1,7]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,3,1,6,5,7] => [5,2,4,3,7,6,1] => [2,4,3,6,7,5,1] => [5,2,4,3,7,6,1]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,3,1,6,7,5] => [5,2,4,3,1,6,7] => [2,4,3,5,1,6,7] => [5,2,4,3,1,6,7]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,3,1,7,6,5] => [5,2,4,3,1,7,6] => [2,4,3,5,1,7,6] => [5,2,4,3,1,7,6]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,3,5,1,6,7] => [6,2,4,3,5,7,1] => [2,4,3,5,7,6,1] => [6,2,4,3,5,7,1]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,3,5,1,7,6] => [6,2,4,3,5,1,7] => [2,4,3,5,6,1,7] => [6,2,4,3,5,1,7]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,4,3,5,6,1,7] => [7,2,4,3,5,6,1] => [2,4,3,5,6,7,1] => [7,2,4,3,5,6,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,3,6,5,1,7] => [7,2,4,3,6,5,1] => [2,4,3,6,5,7,1] => [7,2,4,3,6,5,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,4,3,7,5,6,1] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,3,7,6,5,1] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,5,3,4,1,6,7] => [6,2,4,5,3,7,1] => [2,5,4,3,7,6,1] => [6,2,4,5,3,7,1]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,5,3,4,1,7,6] => [6,2,4,5,3,1,7] => [2,5,4,3,6,1,7] => [6,2,4,5,3,1,7]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,5,3,4,6,1,7] => [7,2,4,5,3,6,1] => [2,5,4,3,6,7,1] => [7,2,4,5,3,6,1]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,5,3,4,6,7,1] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,5,3,4,7,6,1] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,6,3,4,5,1,7] => [7,2,4,5,6,3,1] => [2,6,5,4,3,7,1] => [7,2,4,5,6,3,1]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,6,3,4,5,7,1] => [1,2,4,5,6,3,7] => [1,2,6,5,4,3,7] => [1,2,4,5,6,3,7]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,7,3,4,5,6,1] => [1,2,4,5,6,7,3] => [1,2,7,6,5,4,3] => [1,2,4,5,6,7,3]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,7,3,4,6,5,1] => [1,2,4,5,7,6,3] => [1,2,6,7,5,4,3] => [1,2,4,5,7,6,3]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,6,3,5,4,1,7] => [7,2,4,6,5,3,1] => [2,5,6,4,3,7,1] => [7,2,4,6,5,3,1]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,6,3,5,4,7,1] => [1,2,4,6,5,3,7] => [1,2,5,6,4,3,7] => [1,2,4,6,5,3,7]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,7,3,5,4,6,1] => [1,2,4,6,5,7,3] => [1,2,5,7,6,4,3] => [1,2,4,6,5,7,3]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,7,3,5,6,4,1] => [1,2,4,7,5,6,3] => [1,2,5,6,7,4,3] => [1,2,4,7,5,6,3]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,7,3,6,5,4,1] => [1,2,4,7,6,5,3] => [1,2,6,5,7,4,3] => [1,2,4,7,6,5,3]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,4,3,1,6,7] => [6,2,5,4,3,7,1] => [2,4,5,3,7,6,1] => [6,2,5,4,3,7,1]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,4,3,1,7,6] => [6,2,5,4,3,1,7] => [2,4,5,3,6,1,7] => [6,2,5,4,3,1,7]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,5,4,3,6,1,7] => [7,2,5,4,3,6,1] => [2,4,5,3,6,7,1] => [7,2,5,4,3,6,1]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,5,4,3,6,7,1] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,5,4,3,7,6,1] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,6,4,3,5,1,7] => [7,2,5,4,6,3,1] => [2,4,6,5,3,7,1] => [7,2,5,4,6,3,1]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,6,4,3,5,7,1] => [1,2,5,4,6,3,7] => [1,2,4,6,5,3,7] => [1,2,5,4,6,3,7]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,7,4,3,5,6,1] => [1,2,5,4,6,7,3] => [1,2,4,7,6,5,3] => [1,2,5,4,6,7,3]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,7,4,3,6,5,1] => [1,2,5,4,7,6,3] => [1,2,4,6,7,5,3] => [1,2,5,4,7,6,3]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,6,4,5,3,1,7] => [7,2,6,4,5,3,1] => [2,4,5,6,3,7,1] => [7,2,6,4,5,3,1]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,6,4,5,3,7,1] => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,7,4,5,3,6,1] => [1,2,6,4,5,7,3] => [1,2,4,5,7,6,3] => [1,2,6,4,5,7,3]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,7,4,5,6,3,1] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,7,4,6,5,3,1] => [1,2,7,4,6,5,3] => [1,2,4,6,5,7,3] => [1,2,7,4,6,5,3]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => [7,2,6,5,4,3,1] => [2,5,4,6,3,7,1] => [7,2,6,5,4,3,1]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,6,5,4,3,7,1] => [1,2,6,5,4,3,7] => [1,2,5,4,6,3,7] => [1,2,6,5,4,3,7]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,7,5,4,3,6,1] => [1,2,6,5,4,7,3] => [1,2,5,4,7,6,3] => [1,2,6,5,4,7,3]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,7,5,4,6,3,1] => [1,2,7,5,4,6,3] => [1,2,5,4,6,7,3] => [1,2,7,5,4,6,3]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,7,6,4,5,3,1] => [1,2,7,5,6,4,3] => [1,2,6,5,4,7,3] => [1,2,7,5,6,4,3]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7,6,5,4,3,1] => [1,2,7,6,5,4,3] => [1,2,5,6,4,7,3] => [1,2,7,6,5,4,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => [4,3,2,5,6,7,1] => [3,2,7,6,5,4,1] => [4,3,2,5,6,7,1]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,2,1,4,5,7,6] => [4,3,2,5,6,1,7] => [3,2,6,5,4,1,7] => [4,3,2,5,6,1,7]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,2,1,4,6,5,7] => [4,3,2,5,7,6,1] => [3,2,6,7,5,4,1] => [4,3,2,5,7,6,1]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,2,1,4,6,7,5] => [4,3,2,5,1,6,7] => [3,2,5,4,1,6,7] => [4,3,2,5,1,6,7]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,2,1,4,7,6,5] => [4,3,2,5,1,7,6] => [3,2,5,4,1,7,6] => [4,3,2,5,1,7,6]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,5,4,6,7] => [4,3,2,6,5,7,1] => [3,2,5,7,6,4,1] => [4,3,2,6,5,7,1]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,1,5,4,7,6] => [4,3,2,6,5,1,7] => [3,2,5,6,4,1,7] => [4,3,2,6,5,1,7]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,5,6,4,7] => [4,3,2,7,5,6,1] => [3,2,5,6,7,4,1] => [4,3,2,7,5,6,1]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,5,6,7,4] => [4,3,2,1,5,6,7] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,1,5,7,6,4] => [4,3,2,1,5,7,6] => [3,2,4,1,5,7,6] => [4,3,2,1,5,7,6]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,2,1,6,5,4,7] => [4,3,2,7,6,5,1] => [3,2,6,5,7,4,1] => [4,3,2,7,6,5,1]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,2,1,6,5,7,4] => [4,3,2,1,6,5,7] => [3,2,4,1,6,5,7] => [4,3,2,1,6,5,7]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,2,1,7,5,6,4] => [4,3,2,1,6,7,5] => [3,2,4,1,7,6,5] => [4,3,2,1,6,7,5]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,2,1,7,6,5,4] => [4,3,2,1,7,6,5] => [3,2,4,1,6,7,5] => [4,3,2,1,7,6,5]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7] => [5,3,2,4,6,7,1] => [3,2,4,7,6,5,1] => [5,3,2,4,6,7,1]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,2,4,1,5,7,6] => [5,3,2,4,6,1,7] => [3,2,4,6,5,1,7] => [5,3,2,4,6,1,7]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,2,4,1,6,5,7] => [5,3,2,4,7,6,1] => [3,2,4,6,7,5,1] => [5,3,2,4,7,6,1]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,2,4,1,6,7,5] => [5,3,2,4,1,6,7] => [3,2,4,5,1,6,7] => [5,3,2,4,1,6,7]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,2,4,1,7,6,5] => [5,3,2,4,1,7,6] => [3,2,4,5,1,7,6] => [5,3,2,4,1,7,6]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,2,4,5,1,6,7] => [6,3,2,4,5,7,1] => [3,2,4,5,7,6,1] => [6,3,2,4,5,7,1]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,2,4,5,1,7,6] => [6,3,2,4,5,1,7] => [3,2,4,5,6,1,7] => [6,3,2,4,5,1,7]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,1,7] => [7,3,2,4,5,6,1] => [3,2,4,5,6,7,1] => [7,3,2,4,5,6,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,2,4,5,7,6,1] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,2,4,6,5,1,7] => [7,3,2,4,6,5,1] => [3,2,4,6,5,7,1] => [7,3,2,4,6,5,1]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,2,4,6,5,7,1] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,2,4,7,5,6,1] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,2,4,7,6,5,1] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,5,4,1,6,7] => [6,3,2,5,4,7,1] => [3,2,5,4,7,6,1] => [6,3,2,5,4,7,1]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,5,4,1,7,6] => [6,3,2,5,4,1,7] => [3,2,5,4,6,1,7] => [6,3,2,5,4,1,7]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,5,4,6,1,7] => [7,3,2,5,4,6,1] => [3,2,5,4,6,7,1] => [7,3,2,5,4,6,1]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,5,4,6,7,1] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,5,4,7,6,1] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,6,4,5,1,7] => [7,3,2,5,6,4,1] => [3,2,6,5,4,7,1] => [7,3,2,5,6,4,1]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,6,4,5,7,1] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,2,7,4,5,6,1] => [1,3,2,5,6,7,4] => [1,3,2,7,6,5,4] => [1,3,2,5,6,7,4]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,7,4,6,5,1] => [1,3,2,5,7,6,4] => [1,3,2,6,7,5,4] => [1,3,2,5,7,6,4]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,2,6,5,4,1,7] => [7,3,2,6,5,4,1] => [3,2,5,6,4,7,1] => [7,3,2,6,5,4,1]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,2,6,5,4,7,1] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,2,7,5,4,6,1] => [1,3,2,6,5,7,4] => [1,3,2,5,7,6,4] => [1,3,2,6,5,7,4]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,2,7,5,6,4,1] => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,2,7,6,5,4,1] => [1,3,2,7,6,5,4] => [1,3,2,6,5,7,4] => [1,3,2,7,6,5,4]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,2,3,1,5,6,7] => [5,3,4,2,6,7,1] => [4,3,2,7,6,5,1] => [5,3,4,2,6,7,1]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,2,3,1,5,7,6] => [5,3,4,2,6,1,7] => [4,3,2,6,5,1,7] => [5,3,4,2,6,1,7]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,2,3,1,6,5,7] => [5,3,4,2,7,6,1] => [4,3,2,6,7,5,1] => [5,3,4,2,7,6,1]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,2,3,1,6,7,5] => [5,3,4,2,1,6,7] => [4,3,2,5,1,6,7] => [5,3,4,2,1,6,7]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,2,3,1,7,6,5] => [5,3,4,2,1,7,6] => [4,3,2,5,1,7,6] => [5,3,4,2,1,7,6]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,2,3,5,1,6,7] => [6,3,4,2,5,7,1] => [4,3,2,5,7,6,1] => [6,3,4,2,5,7,1]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,2,3,5,1,7,6] => [6,3,4,2,5,1,7] => [4,3,2,5,6,1,7] => [6,3,4,2,5,1,7]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,2,3,5,6,1,7] => [7,3,4,2,5,6,1] => [4,3,2,5,6,7,1] => [7,3,4,2,5,6,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,2,3,5,7,6,1] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,2,3,6,5,1,7] => [7,3,4,2,6,5,1] => [4,3,2,6,5,7,1] => [7,3,4,2,6,5,1]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,2,3,6,5,7,1] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,2,3,7,5,6,1] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,2,3,7,6,5,1] => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [5,2,3,4,1,6,7] => [6,3,4,5,2,7,1] => [5,4,3,2,7,6,1] => [6,3,4,5,2,7,1]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [5,2,3,4,1,7,6] => [6,3,4,5,2,1,7] => [5,4,3,2,6,1,7] => [6,3,4,5,2,1,7]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [5,2,3,4,6,1,7] => [7,3,4,5,2,6,1] => [5,4,3,2,6,7,1] => [7,3,4,5,2,6,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => [1,3,4,5,2,6,7] => [1,5,4,3,2,6,7] => [1,3,4,5,2,6,7]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [5,2,3,4,7,6,1] => [1,3,4,5,2,7,6] => [1,5,4,3,2,7,6] => [1,3,4,5,2,7,6]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [6,2,3,4,5,1,7] => [7,3,4,5,6,2,1] => [6,5,4,3,2,7,1] => [7,3,4,5,6,2,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => [1,3,4,5,6,2,7] => [1,6,5,4,3,2,7] => [1,3,4,5,6,2,7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7,2,3,4,5,6,1] => [1,3,4,5,6,7,2] => [1,7,6,5,4,3,2] => [1,3,4,5,6,7,2]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [7,2,3,4,6,5,1] => [1,3,4,5,7,6,2] => [1,6,7,5,4,3,2] => [1,3,4,5,7,6,2]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [6,2,3,5,4,1,7] => [7,3,4,6,5,2,1] => [5,6,4,3,2,7,1] => [7,3,4,6,5,2,1]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [6,2,3,5,4,7,1] => [1,3,4,6,5,2,7] => [1,5,6,4,3,2,7] => [1,3,4,6,5,2,7]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [7,2,3,5,4,6,1] => [1,3,4,6,5,7,2] => [1,5,7,6,4,3,2] => [1,3,4,6,5,7,2]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [7,2,3,5,6,4,1] => [1,3,4,7,5,6,2] => [1,5,6,7,4,3,2] => [1,3,4,7,5,6,2]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [7,2,3,6,5,4,1] => [1,3,4,7,6,5,2] => [1,6,5,7,4,3,2] => [1,3,4,7,6,5,2]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [5,2,4,3,1,6,7] => [6,3,5,4,2,7,1] => [4,5,3,2,7,6,1] => [6,3,5,4,2,7,1]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [5,2,4,3,1,7,6] => [6,3,5,4,2,1,7] => [4,5,3,2,6,1,7] => [6,3,5,4,2,1,7]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [5,2,4,3,6,1,7] => [7,3,5,4,2,6,1] => [4,5,3,2,6,7,1] => [7,3,5,4,2,6,1]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [5,2,4,3,6,7,1] => [1,3,5,4,2,6,7] => [1,4,5,3,2,6,7] => [1,3,5,4,2,6,7]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [5,2,4,3,7,6,1] => [1,3,5,4,2,7,6] => [1,4,5,3,2,7,6] => [1,3,5,4,2,7,6]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [6,2,4,3,5,1,7] => [7,3,5,4,6,2,1] => [4,6,5,3,2,7,1] => [7,3,5,4,6,2,1]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [6,2,4,3,5,7,1] => [1,3,5,4,6,2,7] => [1,4,6,5,3,2,7] => [1,3,5,4,6,2,7]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [7,2,4,3,5,6,1] => [1,3,5,4,6,7,2] => [1,4,7,6,5,3,2] => [1,3,5,4,6,7,2]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [7,2,4,3,6,5,1] => [1,3,5,4,7,6,2] => [1,4,6,7,5,3,2] => [1,3,5,4,7,6,2]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => [7,3,6,4,5,2,1] => [4,5,6,3,2,7,1] => [7,3,6,4,5,2,1]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [6,2,4,5,3,7,1] => [1,3,6,4,5,2,7] => [1,4,5,6,3,2,7] => [1,3,6,4,5,2,7]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [7,2,4,5,3,6,1] => [1,3,6,4,5,7,2] => [1,4,5,7,6,3,2] => [1,3,6,4,5,7,2]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [7,2,4,5,6,3,1] => [1,3,7,4,5,6,2] => [1,4,5,6,7,3,2] => [1,3,7,4,5,6,2]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [7,2,4,6,5,3,1] => [1,3,7,4,6,5,2] => [1,4,6,5,7,3,2] => [1,3,7,4,6,5,2]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => [7,3,6,5,4,2,1] => [5,4,6,3,2,7,1] => [7,3,6,5,4,2,1]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [6,2,5,4,3,7,1] => [1,3,6,5,4,2,7] => [1,5,4,6,3,2,7] => [1,3,6,5,4,2,7]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [7,2,5,4,3,6,1] => [1,3,6,5,4,7,2] => [1,5,4,7,6,3,2] => [1,3,6,5,4,7,2]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [7,2,5,4,6,3,1] => [1,3,7,5,4,6,2] => [1,5,4,6,7,3,2] => [1,3,7,5,4,6,2]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [7,2,6,4,5,3,1] => [1,3,7,5,6,4,2] => [1,6,5,4,7,3,2] => [1,3,7,5,6,4,2]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [7,2,6,5,4,3,1] => [1,3,7,6,5,4,2] => [1,5,6,4,7,3,2] => [1,3,7,6,5,4,2]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => [5,4,3,2,6,7,1] => [3,4,2,7,6,5,1] => [5,4,3,2,6,7,1]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,3,2,1,5,7,6] => [5,4,3,2,6,1,7] => [3,4,2,6,5,1,7] => [5,4,3,2,6,1,7]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,3,2,1,6,5,7] => [5,4,3,2,7,6,1] => [3,4,2,6,7,5,1] => [5,4,3,2,7,6,1]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,3,2,1,6,7,5] => [5,4,3,2,1,6,7] => [3,4,2,5,1,6,7] => [5,4,3,2,1,6,7]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3,2,1,7,6,5] => [5,4,3,2,1,7,6] => [3,4,2,5,1,7,6] => [5,4,3,2,1,7,6]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,3,2,5,1,6,7] => [6,4,3,2,5,7,1] => [3,4,2,5,7,6,1] => [6,4,3,2,5,7,1]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,3,2,5,1,7,6] => [6,4,3,2,5,1,7] => [3,4,2,5,6,1,7] => [6,4,3,2,5,1,7]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,3,2,5,6,1,7] => [7,4,3,2,5,6,1] => [3,4,2,5,6,7,1] => [7,4,3,2,5,6,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,3,2,5,7,6,1] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,3,2,6,5,1,7] => [7,4,3,2,6,5,1] => [3,4,2,6,5,7,1] => [7,4,3,2,6,5,1]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,3,2,6,5,7,1] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,3,2,7,5,6,1] => [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3,2,7,6,5,1] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,3,2,4,1,6,7] => [6,4,3,5,2,7,1] => [3,5,4,2,7,6,1] => [6,4,3,5,2,7,1]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,3,2,4,1,7,6] => [6,4,3,5,2,1,7] => [3,5,4,2,6,1,7] => [6,4,3,5,2,1,7]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [5,3,2,4,6,1,7] => [7,4,3,5,2,6,1] => [3,5,4,2,6,7,1] => [7,4,3,5,2,6,1]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => [1,4,3,5,2,6,7] => [1,3,5,4,2,6,7] => [1,4,3,5,2,6,7]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [5,3,2,4,7,6,1] => [1,4,3,5,2,7,6] => [1,3,5,4,2,7,6] => [1,4,3,5,2,7,6]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1,7] => [7,4,3,5,6,2,1] => [3,6,5,4,2,7,1] => [7,4,3,5,6,2,1]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [6,3,2,4,5,7,1] => [1,4,3,5,6,2,7] => [1,3,6,5,4,2,7] => [1,4,3,5,6,2,7]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7,3,2,4,5,6,1] => [1,4,3,5,6,7,2] => [1,3,7,6,5,4,2] => [1,4,3,5,6,7,2]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [7,3,2,4,6,5,1] => [1,4,3,5,7,6,2] => [1,3,6,7,5,4,2] => [1,4,3,5,7,6,2]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => [7,4,3,6,5,2,1] => [3,5,6,4,2,7,1] => [7,4,3,6,5,2,1]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [6,3,2,5,4,7,1] => [1,4,3,6,5,2,7] => [1,3,5,6,4,2,7] => [1,4,3,6,5,2,7]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [7,3,2,5,4,6,1] => [1,4,3,6,5,7,2] => [1,3,5,7,6,4,2] => [1,4,3,6,5,7,2]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [7,3,2,5,6,4,1] => [1,4,3,7,5,6,2] => [1,3,5,6,7,4,2] => [1,4,3,7,5,6,2]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [7,3,2,6,5,4,1] => [1,4,3,7,6,5,2] => [1,3,6,5,7,4,2] => [1,4,3,7,6,5,2]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,3,4,2,1,6,7] => [6,5,3,4,2,7,1] => [3,4,5,2,7,6,1] => [6,5,3,4,2,7,1]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,3,4,2,1,7,6] => [6,5,3,4,2,1,7] => [3,4,5,2,6,1,7] => [6,5,3,4,2,1,7]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,3,4,2,6,1,7] => [7,5,3,4,2,6,1] => [3,4,5,2,6,7,1] => [7,5,3,4,2,6,1]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,3,4,2,6,7,1] => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,3,4,2,7,6,1] => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => [7,5,3,4,6,2,1] => [3,4,6,5,2,7,1] => [7,5,3,4,6,2,1]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [6,3,4,2,5,7,1] => [1,5,3,4,6,2,7] => [1,3,4,6,5,2,7] => [1,5,3,4,6,2,7]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [7,3,4,2,5,6,1] => [1,5,3,4,6,7,2] => [1,3,4,7,6,5,2] => [1,5,3,4,6,7,2]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [7,3,4,2,6,5,1] => [1,5,3,4,7,6,2] => [1,3,4,6,7,5,2] => [1,5,3,4,7,6,2]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => [7,6,3,4,5,2,1] => [3,4,5,6,2,7,1] => [7,6,3,4,5,2,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [6,3,4,5,2,7,1] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [7,3,4,5,2,6,1] => [1,6,3,4,5,7,2] => [1,3,4,5,7,6,2] => [1,6,3,4,5,7,2]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [7,3,4,5,6,2,1] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => [1,7,3,4,5,6,2]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [7,3,4,6,5,2,1] => [1,7,3,4,6,5,2] => [1,3,4,6,5,7,2] => [1,7,3,4,6,5,2]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => [7,6,3,5,4,2,1] => [3,5,4,6,2,7,1] => [7,6,3,5,4,2,1]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [6,3,5,4,2,7,1] => [1,6,3,5,4,2,7] => [1,3,5,4,6,2,7] => [1,6,3,5,4,2,7]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [7,3,5,4,2,6,1] => [1,6,3,5,4,7,2] => [1,3,5,4,7,6,2] => [1,6,3,5,4,7,2]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [7,3,5,4,6,2,1] => [1,7,3,5,4,6,2] => [1,3,5,4,6,7,2] => [1,7,3,5,4,6,2]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [7,3,6,4,5,2,1] => [1,7,3,5,6,4,2] => [1,3,6,5,4,7,2] => [1,7,3,5,6,4,2]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [7,3,6,5,4,2,1] => [1,7,3,6,5,4,2] => [1,3,5,6,4,7,2] => [1,7,3,6,5,4,2]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => [6,5,4,3,2,7,1] => [4,3,5,2,7,6,1] => [6,5,4,3,2,7,1]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => [6,5,4,3,2,1,7] => [4,3,5,2,6,1,7] => [6,5,4,3,2,1,7]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => [7,5,4,3,2,6,1] => [4,3,5,2,6,7,1] => [7,5,4,3,2,6,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,4,3,2,6,7,1] => [1,5,4,3,2,6,7] => [1,4,3,5,2,6,7] => [1,5,4,3,2,6,7]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,4,3,2,7,6,1] => [1,5,4,3,2,7,6] => [1,4,3,5,2,7,6] => [1,5,4,3,2,7,6]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => [7,5,4,3,6,2,1] => [4,3,6,5,2,7,1] => [7,5,4,3,6,2,1]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [6,4,3,2,5,7,1] => [1,5,4,3,6,2,7] => [1,4,3,6,5,2,7] => [1,5,4,3,6,2,7]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [7,4,3,2,5,6,1] => [1,5,4,3,6,7,2] => [1,4,3,7,6,5,2] => [1,5,4,3,6,7,2]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [7,4,3,2,6,5,1] => [1,5,4,3,7,6,2] => [1,4,3,6,7,5,2] => [1,5,4,3,7,6,2]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => [7,6,4,3,5,2,1] => [4,3,5,6,2,7,1] => [7,6,4,3,5,2,1]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [6,4,3,5,2,7,1] => [1,6,4,3,5,2,7] => [1,4,3,5,6,2,7] => [1,6,4,3,5,2,7]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [7,4,3,5,2,6,1] => [1,6,4,3,5,7,2] => [1,4,3,5,7,6,2] => [1,6,4,3,5,7,2]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [7,4,3,5,6,2,1] => [1,7,4,3,5,6,2] => [1,4,3,5,6,7,2] => [1,7,4,3,5,6,2]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [7,4,3,6,5,2,1] => [1,7,4,3,6,5,2] => [1,4,3,6,5,7,2] => [1,7,4,3,6,5,2]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => [7,6,4,5,3,2,1] => [5,4,3,6,2,7,1] => [7,6,4,5,3,2,1]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,5,3,4,2,7,1] => [1,6,4,5,3,2,7] => [1,5,4,3,6,2,7] => [1,6,4,5,3,2,7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [7,5,3,4,2,6,1] => [1,6,4,5,3,7,2] => [1,5,4,3,7,6,2] => [1,6,4,5,3,7,2]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [7,5,3,4,6,2,1] => [1,7,4,5,3,6,2] => [1,5,4,3,6,7,2] => [1,7,4,5,3,6,2]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [7,6,3,4,5,2,1] => [1,7,4,5,6,3,2] => [1,6,5,4,3,7,2] => [1,7,4,5,6,3,2]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [7,6,3,5,4,2,1] => [1,7,4,6,5,3,2] => [1,5,6,4,3,7,2] => [1,7,4,6,5,3,2]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => [7,6,5,4,3,2,1] => [4,5,3,6,2,7,1] => [7,6,5,4,3,2,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,5,4,3,2,7,1] => [1,6,5,4,3,2,7] => [1,4,5,3,6,2,7] => [1,6,5,4,3,2,7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [7,5,4,3,2,6,1] => [1,6,5,4,3,7,2] => [1,4,5,3,7,6,2] => [1,6,5,4,3,7,2]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [7,5,4,3,6,2,1] => [1,7,5,4,3,6,2] => [1,4,5,3,6,7,2] => [1,7,5,4,3,6,2]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [7,6,4,3,5,2,1] => [1,7,5,4,6,3,2] => [1,4,6,5,3,7,2] => [1,7,5,4,6,3,2]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,6,4,5,3,2,1] => [1,7,6,4,5,3,2] => [1,4,5,6,3,7,2] => [1,7,6,4,5,3,2]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => [1,7,6,5,4,3,2] => [1,5,4,6,3,7,2] => [1,7,6,5,4,3,2]
[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] => [8,7,6,5,4,3,2,1] => [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] => [2,3,4,5,6,7,1,8] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,8] => [2,3,4,5,6,8,7,1] => [7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,7,8,6] => [2,3,4,5,6,1,7,8] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,8,7,6] => [2,3,4,5,6,1,8,7] => [6,5,4,3,2,1,8,7] => [2,3,4,5,6,1,8,7]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,4,6,5,7,8] => [2,3,4,5,7,6,8,1] => [6,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,4,6,5,8,7] => [2,3,4,5,7,6,1,8] => [6,7,5,4,3,2,1,8] => [2,3,4,5,7,6,1,8]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,4,6,7,5,8] => [2,3,4,5,8,6,7,1] => [6,7,8,5,4,3,2,1] => [2,3,4,5,8,6,7,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,6,7,8,5] => [2,3,4,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,4,6,8,7,5] => [2,3,4,5,1,6,8,7] => [5,4,3,2,1,6,8,7] => [2,3,4,5,1,6,8,7]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,4,7,6,5,8] => [2,3,4,5,8,7,6,1] => [7,6,8,5,4,3,2,1] => [2,3,4,5,8,7,6,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,4,7,6,8,5] => [2,3,4,5,1,7,6,8] => [5,4,3,2,1,7,6,8] => [2,3,4,5,1,7,6,8]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,4,8,6,7,5] => [2,3,4,5,1,7,8,6] => [5,4,3,2,1,8,7,6] => [2,3,4,5,1,7,8,6]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,4,8,7,6,5] => [2,3,4,5,1,8,7,6] => [5,4,3,2,1,7,8,6] => [2,3,4,5,1,8,7,6]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => [2,3,4,6,5,7,8,1] => [5,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,3,5,4,6,8,7] => [2,3,4,6,5,7,1,8] => [5,7,6,4,3,2,1,8] => [2,3,4,6,5,7,1,8]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => [2,3,4,6,5,8,7,1] => [5,7,8,6,4,3,2,1] => [2,3,4,6,5,8,7,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,3,5,4,7,8,6] => [2,3,4,6,5,1,7,8] => [5,6,4,3,2,1,7,8] => [2,3,4,6,5,1,7,8]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,3,5,6,4,7,8] => [2,3,4,7,5,6,8,1] => [5,6,8,7,4,3,2,1] => [2,3,4,7,5,6,8,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,3,5,6,4,8,7] => [2,3,4,7,5,6,1,8] => [5,6,7,4,3,2,1,8] => [2,3,4,7,5,6,1,8]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,3,5,6,7,4,8] => [2,3,4,8,5,6,7,1] => [5,6,7,8,4,3,2,1] => [2,3,4,8,5,6,7,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,4] => [2,3,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,3,5,6,8,7,4] => [2,3,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => [2,3,4,1,5,6,8,7]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,3,5,7,6,4,8] => [2,3,4,8,5,7,6,1] => [5,7,6,8,4,3,2,1] => [2,3,4,8,5,7,6,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,3,5,7,6,8,4] => [2,3,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => [2,3,4,1,5,7,6,8]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,3,5,8,6,7,4] => [2,3,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6] => [2,3,4,1,5,7,8,6]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3,5,8,7,6,4] => [2,3,4,1,5,8,7,6] => [4,3,2,1,5,7,8,6] => [2,3,4,1,5,8,7,6]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,6,5,4,7,8] => [2,3,4,7,6,5,8,1] => [6,5,8,7,4,3,2,1] => [2,3,4,7,6,5,8,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,6,5,4,8,7] => [2,3,4,7,6,5,1,8] => [6,5,7,4,3,2,1,8] => [2,3,4,7,6,5,1,8]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,5,7,4,8] => [2,3,4,8,6,5,7,1] => [6,5,7,8,4,3,2,1] => [2,3,4,8,6,5,7,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,3,6,5,7,8,4] => [2,3,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => [2,3,4,1,6,5,7,8]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,6,5,8,7,4] => [2,3,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [2,3,4,1,6,5,8,7]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,3,7,5,6,4,8] => [2,3,4,8,6,7,5,1] => [7,6,5,8,4,3,2,1] => [2,3,4,8,6,7,5,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,3,7,5,6,8,4] => [2,3,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8] => [2,3,4,1,6,7,5,8]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,3,8,5,6,7,4] => [2,3,4,1,6,7,8,5] => [4,3,2,1,8,7,6,5] => [2,3,4,1,6,7,8,5]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,3,8,5,7,6,4] => [2,3,4,1,6,8,7,5] => [4,3,2,1,7,8,6,5] => [2,3,4,1,6,8,7,5]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,3,7,6,5,4,8] => [2,3,4,8,7,6,5,1] => [6,7,5,8,4,3,2,1] => [2,3,4,8,7,6,5,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,3,7,6,5,8,4] => [2,3,4,1,7,6,5,8] => [4,3,2,1,6,7,5,8] => [2,3,4,1,7,6,5,8]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,3,8,6,5,7,4] => [2,3,4,1,7,6,8,5] => [4,3,2,1,6,8,7,5] => [2,3,4,1,7,6,8,5]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,3,8,6,7,5,4] => [2,3,4,1,8,6,7,5] => [4,3,2,1,6,7,8,5] => [2,3,4,1,8,6,7,5]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,3,8,7,6,5,4] => [2,3,4,1,8,7,6,5] => [4,3,2,1,7,6,8,5] => [2,3,4,1,8,7,6,5]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7,8] => [2,3,5,4,6,7,8,1] => [4,8,7,6,5,3,2,1] => [2,3,5,4,6,7,8,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,4,3,5,6,8,7] => [2,3,5,4,6,7,1,8] => [4,7,6,5,3,2,1,8] => [2,3,5,4,6,7,1,8]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => [2,3,5,4,7,6,8,1] => [4,6,8,7,5,3,2,1] => [2,3,5,4,7,6,8,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,4,3,6,7,5,8] => [2,3,5,4,8,6,7,1] => [4,6,7,8,5,3,2,1] => [2,3,5,4,8,6,7,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,4,3,6,7,8,5] => [2,3,5,4,1,6,7,8] => [4,5,3,2,1,6,7,8] => [2,3,5,4,1,6,7,8]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,4,3,6,8,7,5] => [2,3,5,4,1,6,8,7] => [4,5,3,2,1,6,8,7] => [2,3,5,4,1,6,8,7]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,7,6,5,8] => [2,3,5,4,8,7,6,1] => [4,7,6,8,5,3,2,1] => [2,3,5,4,8,7,6,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,6,8,5] => [2,3,5,4,1,7,6,8] => [4,5,3,2,1,7,6,8] => [2,3,5,4,1,7,6,8]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,2,4,5,3,6,7,8] => [2,3,6,4,5,7,8,1] => [4,5,8,7,6,3,2,1] => [2,3,6,4,5,7,8,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6,8] => [2,3,6,4,5,8,7,1] => [4,5,7,8,6,3,2,1] => [2,3,6,4,5,8,7,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,2,4,5,3,7,8,6] => [2,3,6,4,5,1,7,8] => [4,5,6,3,2,1,7,8] => [2,3,6,4,5,1,7,8]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,2,4,5,3,8,7,6] => [2,3,6,4,5,1,8,7] => [4,5,6,3,2,1,8,7] => [2,3,6,4,5,1,8,7]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,4,5,6,3,7,8] => [2,3,7,4,5,6,8,1] => [4,5,6,8,7,3,2,1] => [2,3,7,4,5,6,8,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,7,3,8] => [2,3,8,4,5,6,7,1] => [4,5,6,7,8,3,2,1] => [2,3,8,4,5,6,7,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,3] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,4,5,6,8,7,3] => [2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,2,4,5,8,6,7,3] => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,2,4,6,5,3,7,8] => [2,3,7,4,6,5,8,1] => [4,6,5,8,7,3,2,1] => [2,3,7,4,6,5,8,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,2,4,7,5,6,3,8] => [2,3,8,4,6,7,5,1] => [4,7,6,5,8,3,2,1] => [2,3,8,4,6,7,5,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,2,4,7,5,6,8,3] => [2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,4,8,5,6,7,3] => [2,3,1,4,6,7,8,5] => [3,2,1,4,8,7,6,5] => [2,3,1,4,6,7,8,5]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,4,8,6,5,7,3] => [2,3,1,4,7,6,8,5] => [3,2,1,4,6,8,7,5] => [2,3,1,4,7,6,8,5]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,4,8,7,6,5,3] => [2,3,1,4,8,7,6,5] => [3,2,1,4,7,6,8,5] => [2,3,1,4,8,7,6,5]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,5,4,3,7,8,6] => [2,3,6,5,4,1,7,8] => [5,4,6,3,2,1,7,8] => [2,3,6,5,4,1,7,8]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,5,4,3,8,7,6] => [2,3,6,5,4,1,8,7] => [5,4,6,3,2,1,8,7] => [2,3,6,5,4,1,8,7]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,2,5,4,6,7,3,8] => [2,3,8,5,4,6,7,1] => [5,4,6,7,8,3,2,1] => [2,3,8,5,4,6,7,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,2,5,4,6,7,8,3] => [2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,6,4,5,3,7,8] => [2,3,7,5,6,4,8,1] => [6,5,4,8,7,3,2,1] => [2,3,7,5,6,4,8,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,2,6,4,5,7,8,3] => [2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,2,7,4,5,6,3,8] => [2,3,8,5,6,7,4,1] => [7,6,5,4,8,3,2,1] => [2,3,8,5,6,7,4,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,2,7,4,5,6,8,3] => [2,3,1,5,6,7,4,8] => [3,2,1,7,6,5,4,8] => [2,3,1,5,6,7,4,8]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,8,4,5,6,7,3] => [2,3,1,5,6,7,8,4] => [3,2,1,8,7,6,5,4] => [2,3,1,5,6,7,8,4]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,2,7,4,6,5,3,8] => [2,3,8,5,7,6,4,1] => [6,7,5,4,8,3,2,1] => [2,3,8,5,7,6,4,1]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,8,4,6,7,5,3] => [2,3,1,5,8,6,7,4] => [3,2,1,6,7,8,5,4] => [2,3,1,5,8,6,7,4]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,6,5,4,3,8,7] => [2,3,7,6,5,4,1,8] => [5,6,4,7,3,2,1,8] => [2,3,7,6,5,4,1,8]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,6,5,4,7,8,3] => [2,3,1,6,5,4,7,8] => [3,2,1,5,6,4,7,8] => [2,3,1,6,5,4,7,8]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,2,7,5,4,6,8,3] => [2,3,1,6,5,7,4,8] => [3,2,1,5,7,6,4,8] => [2,3,1,6,5,7,4,8]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,2,8,5,4,7,6,3] => [2,3,1,6,5,8,7,4] => [3,2,1,5,7,8,6,4] => [2,3,1,6,5,8,7,4]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,2,7,5,6,4,8,3] => [2,3,1,7,5,6,4,8] => [3,2,1,5,6,7,4,8] => [2,3,1,7,5,6,4,8]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,8,5,6,7,4,3] => [2,3,1,8,5,6,7,4] => [3,2,1,5,6,7,8,4] => [2,3,1,8,5,6,7,4]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,7,6,5,4,3,8] => [2,3,8,7,6,5,4,1] => [6,5,7,4,8,3,2,1] => [2,3,8,7,6,5,4,1]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,8,6,5,4,7,3] => [2,3,1,7,6,5,8,4] => [3,2,1,6,5,8,7,4] => [2,3,1,7,6,5,8,4]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,8,7,5,6,4,3] => [2,3,1,8,6,7,5,4] => [3,2,1,7,6,5,8,4] => [2,3,1,8,6,7,5,4]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,8,7,6,5,4,3] => [2,3,1,8,7,6,5,4] => [3,2,1,6,7,5,8,4] => [2,3,1,8,7,6,5,4]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => [2,4,3,5,6,7,8,1] => [3,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => [2,4,3,5,6,8,7,1] => [3,7,8,6,5,4,2,1] => [2,4,3,5,6,8,7,1]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,8,7,6] => [2,4,3,5,6,1,8,7] => [3,6,5,4,2,1,8,7] => [2,4,3,5,6,1,8,7]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,6,5,7,8] => [2,4,3,5,7,6,8,1] => [3,6,8,7,5,4,2,1] => [2,4,3,5,7,6,8,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,2,4,6,7,8,5] => [2,4,3,5,1,6,7,8] => [3,5,4,2,1,6,7,8] => [2,4,3,5,1,6,7,8]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,2,4,6,8,7,5] => [2,4,3,5,1,6,8,7] => [3,5,4,2,1,6,8,7] => [2,4,3,5,1,6,8,7]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,2,4,7,6,5,8] => [2,4,3,5,8,7,6,1] => [3,7,6,8,5,4,2,1] => [2,4,3,5,8,7,6,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,2,4,7,6,8,5] => [2,4,3,5,1,7,6,8] => [3,5,4,2,1,7,6,8] => [2,4,3,5,1,7,6,8]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,2,4,8,6,7,5] => [2,4,3,5,1,7,8,6] => [3,5,4,2,1,8,7,6] => [2,4,3,5,1,7,8,6]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,2,4,8,7,6,5] => [2,4,3,5,1,8,7,6] => [3,5,4,2,1,7,8,6] => [2,4,3,5,1,8,7,6]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => [2,4,3,6,5,7,8,1] => [3,5,8,7,6,4,2,1] => [2,4,3,6,5,7,8,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,5,4,6,8,7] => [2,4,3,6,5,7,1,8] => [3,5,7,6,4,2,1,8] => [2,4,3,6,5,7,1,8]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => [2,4,3,6,5,8,7,1] => [3,5,7,8,6,4,2,1] => [2,4,3,6,5,8,7,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,7,6] => [2,4,3,6,5,1,8,7] => [3,5,6,4,2,1,8,7] => [2,4,3,6,5,1,8,7]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,3,2,5,6,4,7,8] => [2,4,3,7,5,6,8,1] => [3,5,6,8,7,4,2,1] => [2,4,3,7,5,6,8,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,2,5,6,7,4,8] => [2,4,3,8,5,6,7,1] => [3,5,6,7,8,4,2,1] => [2,4,3,8,5,6,7,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,2,5,6,7,8,4] => [2,4,3,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => [2,4,3,1,5,6,7,8]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,2,5,7,6,4,8] => [2,4,3,8,5,7,6,1] => [3,5,7,6,8,4,2,1] => [2,4,3,8,5,7,6,1]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,5,8,7,4] => [2,4,3,1,6,5,8,7] => [3,4,2,1,6,5,8,7] => [2,4,3,1,6,5,8,7]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,3,2,7,5,6,4,8] => [2,4,3,8,6,7,5,1] => [3,7,6,5,8,4,2,1] => [2,4,3,8,6,7,5,1]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,3,2,8,5,6,7,4] => [2,4,3,1,6,7,8,5] => [3,4,2,1,8,7,6,5] => [2,4,3,1,6,7,8,5]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2,8,5,7,6,4] => [2,4,3,1,6,8,7,5] => [3,4,2,1,7,8,6,5] => [2,4,3,1,6,8,7,5]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,6,5,4,8] => [2,4,3,8,7,6,5,1] => [3,6,7,5,8,4,2,1] => [2,4,3,8,7,6,5,1]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,8,6,5,7,4] => [2,4,3,1,7,6,8,5] => [3,4,2,1,6,8,7,5] => [2,4,3,1,7,6,8,5]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,2,8,6,7,5,4] => [2,4,3,1,8,6,7,5] => [3,4,2,1,6,7,8,5] => [2,4,3,1,8,6,7,5]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,8,7,6,5,4] => [2,4,3,1,8,7,6,5] => [3,4,2,1,7,6,8,5] => [2,4,3,1,8,7,6,5]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7,8] => [2,5,3,4,6,7,8,1] => [3,4,8,7,6,5,2,1] => [2,5,3,4,6,7,8,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,2,5,6,8,7] => [2,5,3,4,6,7,1,8] => [3,4,7,6,5,2,1,8] => [2,5,3,4,6,7,1,8]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => [2,5,3,4,8,6,7,1] => [3,4,6,7,8,5,2,1] => [2,5,3,4,8,6,7,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,3,4,2,6,7,8,5] => [2,5,3,4,1,6,7,8] => [3,4,5,2,1,6,7,8] => [2,5,3,4,1,6,7,8]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,3,4,2,8,7,6,5] => [2,5,3,4,1,8,7,6] => [3,4,5,2,1,7,8,6] => [2,5,3,4,1,8,7,6]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2,6,7,8] => [2,6,3,4,5,7,8,1] => [3,4,5,8,7,6,2,1] => [2,6,3,4,5,7,8,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,5,2,7,6,8] => [2,6,3,4,5,8,7,1] => [3,4,5,7,8,6,2,1] => [2,6,3,4,5,8,7,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,5,2,7,8,6] => [2,6,3,4,5,1,7,8] => [3,4,5,6,2,1,7,8] => [2,6,3,4,5,1,7,8]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,6,2,8,7] => [2,7,3,4,5,6,1,8] => [3,4,5,6,7,2,1,8] => [2,7,3,4,5,6,1,8]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,7,2,8] => [2,8,3,4,5,6,7,1] => [3,4,5,6,7,8,2,1] => [2,8,3,4,5,6,7,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,2] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,6,8,7,2] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,5,7,6,2,8] => [2,8,3,4,5,7,6,1] => [3,4,5,7,6,8,2,1] => [2,8,3,4,5,7,6,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,5,7,6,8,2] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,5,8,6,7,2] => [2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,5,8,7,6,2] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,3,4,6,5,7,8,2] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,4,6,5,8,7,2] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,3,4,8,5,6,7,2] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,7,6,5] => [2,1,3,4,6,7,8,5]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,3,4,8,6,7,5,2] => [2,1,3,4,8,6,7,5] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,6,7,5]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,4,8,7,6,5,2] => [2,1,3,4,8,7,6,5] => [2,1,3,4,7,6,8,5] => [2,1,3,4,8,7,6,5]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,3,5,4,2,7,6,8] => [2,6,3,5,4,8,7,1] => [3,5,4,7,8,6,2,1] => [2,6,3,5,4,8,7,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,5,4,6,7,8,2] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,5,4,6,8,7,2] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,3,5,4,7,6,2,8] => [2,8,3,5,4,7,6,1] => [3,5,4,7,6,8,2,1] => [2,8,3,5,4,7,6,1]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,3,6,4,5,8,7,2] => [2,1,3,5,6,4,8,7] => [2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,8,4,5,6,7,2] => [2,1,3,5,6,7,8,4] => [2,1,3,8,7,6,5,4] => [2,1,3,5,6,7,8,4]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,8,4,6,5,7,2] => [2,1,3,5,7,6,8,4] => [2,1,3,6,8,7,5,4] => [2,1,3,5,7,6,8,4]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,3,6,5,4,2,8,7] => [2,7,3,6,5,4,1,8] => [3,5,6,4,7,2,1,8] => [2,7,3,6,5,4,1,8]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,3,7,5,6,4,2,8] => [2,8,3,7,5,6,4,1] => [3,5,6,7,4,8,2,1] => [2,8,3,7,5,6,4,1]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,8,5,6,7,4,2] => [2,1,3,8,5,6,7,4] => [2,1,3,5,6,7,8,4] => [2,1,3,8,5,6,7,4]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,3,8,5,7,6,4,2] => [2,1,3,8,5,7,6,4] => [2,1,3,5,7,6,8,4] => [2,1,3,8,5,7,6,4]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,3,2,5,6,7,8] => [2,5,4,3,6,7,8,1] => [4,3,8,7,6,5,2,1] => [2,5,4,3,6,7,8,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,4,3,2,5,6,8,7] => [2,5,4,3,6,7,1,8] => [4,3,7,6,5,2,1,8] => [2,5,4,3,6,7,1,8]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,3,2,5,8,7,6] => [2,5,4,3,6,1,8,7] => [4,3,6,5,2,1,8,7] => [2,5,4,3,6,1,8,7]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,4,3,2,6,7,5,8] => [2,5,4,3,8,6,7,1] => [4,3,6,7,8,5,2,1] => [2,5,4,3,8,6,7,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,4,3,2,6,7,8,5] => [2,5,4,3,1,6,7,8] => [4,3,5,2,1,6,7,8] => [2,5,4,3,1,6,7,8]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,4,3,2,6,8,7,5] => [2,5,4,3,1,6,8,7] => [4,3,5,2,1,6,8,7] => [2,5,4,3,1,6,8,7]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,4,3,2,8,6,7,5] => [2,5,4,3,1,7,8,6] => [4,3,5,2,1,8,7,6] => [2,5,4,3,1,7,8,6]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,3,5,2,7,6,8] => [2,6,4,3,5,8,7,1] => [4,3,5,7,8,6,2,1] => [2,6,4,3,5,8,7,1]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,3,5,2,8,7,6] => [2,6,4,3,5,1,8,7] => [4,3,5,6,2,1,8,7] => [2,6,4,3,5,1,8,7]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,4,3,5,6,2,7,8] => [2,7,4,3,5,6,8,1] => [4,3,5,6,8,7,2,1] => [2,7,4,3,5,6,8,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,4,3,5,6,7,2,8] => [2,8,4,3,5,6,7,1] => [4,3,5,6,7,8,2,1] => [2,8,4,3,5,6,7,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,8,2] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,3,5,6,8,7,2] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,3,5,7,6,2,8] => [2,8,4,3,5,7,6,1] => [4,3,5,7,6,8,2,1] => [2,8,4,3,5,7,6,1]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,3,5,8,6,7,2] => [2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,3,6,5,2,7,8] => [2,7,4,3,6,5,8,1] => [4,3,6,5,8,7,2,1] => [2,7,4,3,6,5,8,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,3,6,5,7,2,8] => [2,8,4,3,6,5,7,1] => [4,3,6,5,7,8,2,1] => [2,8,4,3,6,5,7,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,3,6,5,7,8,2] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,3,8,5,6,7,2] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,7,6,5] => [2,1,4,3,6,7,8,5]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,3,8,5,7,6,2] => [2,1,4,3,6,8,7,5] => [2,1,4,3,7,8,6,5] => [2,1,4,3,6,8,7,5]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,3,8,6,5,7,2] => [2,1,4,3,7,6,8,5] => [2,1,4,3,6,8,7,5] => [2,1,4,3,7,6,8,5]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,3,8,6,7,5,2] => [2,1,4,3,8,6,7,5] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,6,7,5]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => [2,1,4,3,8,7,6,5] => [2,1,4,3,7,6,8,5] => [2,1,4,3,8,7,6,5]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,5,3,4,2,6,7,8] => [2,6,4,5,3,7,8,1] => [5,4,3,8,7,6,2,1] => [2,6,4,5,3,7,8,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,5,3,4,2,7,6,8] => [2,6,4,5,3,8,7,1] => [5,4,3,7,8,6,2,1] => [2,6,4,5,3,8,7,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,5,3,4,2,7,8,6] => [2,6,4,5,3,1,7,8] => [5,4,3,6,2,1,7,8] => [2,6,4,5,3,1,7,8]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,5,3,4,2,8,7,6] => [2,6,4,5,3,1,8,7] => [5,4,3,6,2,1,8,7] => [2,6,4,5,3,1,8,7]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,5,3,4,6,7,2,8] => [2,8,4,5,3,6,7,1] => [5,4,3,6,7,8,2,1] => [2,8,4,5,3,6,7,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,5,3,4,6,7,8,2] => [2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,6,3,4,5,2,7,8] => [2,7,4,5,6,3,8,1] => [6,5,4,3,8,7,2,1] => [2,7,4,5,6,3,8,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,6,3,4,5,7,2,8] => [2,8,4,5,6,3,7,1] => [6,5,4,3,7,8,2,1] => [2,8,4,5,6,3,7,1]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,6,3,4,5,8,7,2] => [2,1,4,5,6,3,8,7] => [2,1,6,5,4,3,8,7] => [2,1,4,5,6,3,8,7]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,7,3,4,5,6,2,8] => [2,8,4,5,6,7,3,1] => [7,6,5,4,3,8,2,1] => [2,8,4,5,6,7,3,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,7,3,4,5,6,8,2] => [2,1,4,5,6,7,3,8] => [2,1,7,6,5,4,3,8] => [2,1,4,5,6,7,3,8]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,8,3,4,5,6,7,2] => [2,1,4,5,6,7,8,3] => [2,1,8,7,6,5,4,3] => [2,1,4,5,6,7,8,3]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,8,3,4,5,7,6,2] => [2,1,4,5,6,8,7,3] => [2,1,7,8,6,5,4,3] => [2,1,4,5,6,8,7,3]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,8,3,4,6,7,5,2] => [2,1,4,5,8,6,7,3] => [2,1,6,7,8,5,4,3] => [2,1,4,5,8,6,7,3]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,8,3,4,7,6,5,2] => [2,1,4,5,8,7,6,3] => [2,1,7,6,8,5,4,3] => [2,1,4,5,8,7,6,3]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,6,3,5,4,2,7,8] => [2,7,4,6,5,3,8,1] => [5,6,4,3,8,7,2,1] => [2,7,4,6,5,3,8,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,6,3,5,4,7,8,2] => [2,1,4,6,5,3,7,8] => [2,1,5,6,4,3,7,8] => [2,1,4,6,5,3,7,8]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,6,3,5,4,8,7,2] => [2,1,4,6,5,3,8,7] => [2,1,5,6,4,3,8,7] => [2,1,4,6,5,3,8,7]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,8,3,5,4,7,6,2] => [2,1,4,6,5,8,7,3] => [2,1,5,7,8,6,4,3] => [2,1,4,6,5,8,7,3]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,8,3,5,6,7,4,2] => [2,1,4,8,5,6,7,3] => [2,1,5,6,7,8,4,3] => [2,1,4,8,5,6,7,3]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,8,3,5,7,6,4,2] => [2,1,4,8,5,7,6,3] => [2,1,5,7,6,8,4,3] => [2,1,4,8,5,7,6,3]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,8,3,6,5,4,7,2] => [2,1,4,7,6,5,8,3] => [2,1,6,5,8,7,4,3] => [2,1,4,7,6,5,8,3]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,8,3,6,5,7,4,2] => [2,1,4,8,6,5,7,3] => [2,1,6,5,7,8,4,3] => [2,1,4,8,6,5,7,3]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,8,3,7,5,6,4,2] => [2,1,4,8,6,7,5,3] => [2,1,7,6,5,8,4,3] => [2,1,4,8,6,7,5,3]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,8,3,7,6,5,4,2] => [2,1,4,8,7,6,5,3] => [2,1,6,7,5,8,4,3] => [2,1,4,8,7,6,5,3]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,4,3,2,7,6,8] => [2,6,5,4,3,8,7,1] => [4,5,3,7,8,6,2,1] => [2,6,5,4,3,8,7,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,4,3,2,8,7,6] => [2,6,5,4,3,1,8,7] => [4,5,3,6,2,1,8,7] => [2,6,5,4,3,1,8,7]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,5,4,3,6,2,7,8] => [2,7,5,4,3,6,8,1] => [4,5,3,6,8,7,2,1] => [2,7,5,4,3,6,8,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,5,4,3,6,7,8,2] => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,5,4,3,6,8,7,2] => [2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7] => [2,1,5,4,3,6,8,7]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,6,4,3,5,8,7,2] => [2,1,5,4,6,3,8,7] => [2,1,4,6,5,3,8,7] => [2,1,5,4,6,3,8,7]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,8,4,3,5,6,7,2] => [2,1,5,4,6,7,8,3] => [2,1,4,8,7,6,5,3] => [2,1,5,4,6,7,8,3]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,8,4,3,5,7,6,2] => [2,1,5,4,6,8,7,3] => [2,1,4,7,8,6,5,3] => [2,1,5,4,6,8,7,3]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,8,4,3,6,5,7,2] => [2,1,5,4,7,6,8,3] => [2,1,4,6,8,7,5,3] => [2,1,5,4,7,6,8,3]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,8,4,3,6,7,5,2] => [2,1,5,4,8,6,7,3] => [2,1,4,6,7,8,5,3] => [2,1,5,4,8,6,7,3]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,8,4,3,7,6,5,2] => [2,1,5,4,8,7,6,3] => [2,1,4,7,6,8,5,3] => [2,1,5,4,8,7,6,3]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,6,4,5,3,2,7,8] => [2,7,6,4,5,3,8,1] => [4,5,6,3,8,7,2,1] => [2,7,6,4,5,3,8,1]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,8,4,5,3,6,7,2] => [2,1,6,4,5,7,8,3] => [2,1,4,5,8,7,6,3] => [2,1,6,4,5,7,8,3]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,8,4,5,3,7,6,2] => [2,1,6,4,5,8,7,3] => [2,1,4,5,7,8,6,3] => [2,1,6,4,5,8,7,3]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,7,4,5,6,3,2,8] => [2,8,7,4,5,6,3,1] => [4,5,6,7,3,8,2,1] => [2,8,7,4,5,6,3,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,8,4,5,6,7,3,2] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => [2,1,8,4,5,6,7,3]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,8,4,6,5,3,7,2] => [2,1,7,4,6,5,8,3] => [2,1,4,6,5,8,7,3] => [2,1,7,4,6,5,8,3]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,8,4,7,5,6,3,2] => [2,1,8,4,6,7,5,3] => [2,1,4,7,6,5,8,3] => [2,1,8,4,6,7,5,3]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,5,8,3] => [2,1,8,4,7,6,5,3]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,6,5,4,3,2,8,7] => [2,7,6,5,4,3,1,8] => [5,4,6,3,7,2,1,8] => [2,7,6,5,4,3,1,8]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => [2,1,6,5,4,3,8,7] => [2,1,5,4,6,3,8,7] => [2,1,6,5,4,3,8,7]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,8,5,4,3,7,6,2] => [2,1,6,5,4,8,7,3] => [2,1,5,4,7,8,6,3] => [2,1,6,5,4,8,7,3]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,8,5,4,6,3,7,2] => [2,1,7,5,4,6,8,3] => [2,1,5,4,6,8,7,3] => [2,1,7,5,4,6,8,3]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,8,5,4,6,7,3,2] => [2,1,8,5,4,6,7,3] => [2,1,5,4,6,7,8,3] => [2,1,8,5,4,6,7,3]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => [2,1,8,5,4,7,6,3] => [2,1,5,4,7,6,8,3] => [2,1,8,5,4,7,6,3]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,7,6,4,5,3,2,8] => [2,8,7,5,6,4,3,1] => [6,5,4,7,3,8,2,1] => [2,8,7,5,6,4,3,1]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,8,6,4,5,3,7,2] => [2,1,7,5,6,4,8,3] => [2,1,6,5,4,8,7,3] => [2,1,7,5,6,4,8,3]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => [2,1,8,5,6,7,4,3] => [2,1,7,6,5,4,8,3] => [2,1,8,5,6,7,4,3]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => [2,1,8,5,7,6,4,3] => [2,1,6,7,5,4,8,3] => [2,1,8,5,7,6,4,3]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,8,6,5,4,3,7,2] => [2,1,7,6,5,4,8,3] => [2,1,5,6,4,8,7,3] => [2,1,7,6,5,4,8,3]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => [2,1,8,6,5,4,7,3] => [2,1,5,6,4,7,8,3] => [2,1,8,6,5,4,7,3]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => [2,1,8,6,5,7,4,3] => [2,1,5,7,6,4,8,3] => [2,1,8,6,5,7,4,3]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => [2,1,8,7,5,6,4,3] => [2,1,5,6,7,4,8,3] => [2,1,8,7,5,6,4,3]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => [2,1,8,7,6,5,4,3] => [2,1,6,5,7,4,8,3] => [2,1,8,7,6,5,4,3]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => [2,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => [3,2,4,5,6,7,1,8] => [2,7,6,5,4,3,1,8] => [3,2,4,5,6,7,1,8]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,5,7,6,8] => [3,2,4,5,6,8,7,1] => [2,7,8,6,5,4,3,1] => [3,2,4,5,6,8,7,1]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,4,6,5,7,8] => [3,2,4,5,7,6,8,1] => [2,6,8,7,5,4,3,1] => [3,2,4,5,7,6,8,1]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,4,6,7,5,8] => [3,2,4,5,8,6,7,1] => [2,6,7,8,5,4,3,1] => [3,2,4,5,8,6,7,1]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,4,6,7,8,5] => [3,2,4,5,1,6,7,8] => [2,5,4,3,1,6,7,8] => [3,2,4,5,1,6,7,8]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,8,7,6,5] => [3,2,4,5,1,8,7,6] => [2,5,4,3,1,7,8,6] => [3,2,4,5,1,8,7,6]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,3,5,6,7,8,4] => [3,2,4,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [3,2,4,1,5,6,7,8]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,3,5,8,6,7,4] => [3,2,4,1,5,7,8,6] => [2,4,3,1,5,8,7,6] => [3,2,4,1,5,7,8,6]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,3,6,5,7,8,4] => [3,2,4,1,6,5,7,8] => [2,4,3,1,6,5,7,8] => [3,2,4,1,6,5,7,8]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,6,5,8,7,4] => [3,2,4,1,6,5,8,7] => [2,4,3,1,6,5,8,7] => [3,2,4,1,6,5,8,7]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,8,5,6,7,4] => [3,2,4,1,6,7,8,5] => [2,4,3,1,8,7,6,5] => [3,2,4,1,6,7,8,5]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,8,5,7,6,4] => [3,2,4,1,6,8,7,5] => [2,4,3,1,7,8,6,5] => [3,2,4,1,6,8,7,5]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,3,8,6,5,7,4] => [3,2,4,1,7,6,8,5] => [2,4,3,1,6,8,7,5] => [3,2,4,1,7,6,8,5]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,3,8,6,7,5,4] => [3,2,4,1,8,6,7,5] => [2,4,3,1,6,7,8,5] => [3,2,4,1,8,6,7,5]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,8,7,6,5,4] => [3,2,4,1,8,7,6,5] => [2,4,3,1,7,6,8,5] => [3,2,4,1,8,7,6,5]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7,8] => [3,2,5,4,6,7,8,1] => [2,4,8,7,6,5,3,1] => [3,2,5,4,6,7,8,1]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,4,3,5,8,7,6] => [3,2,5,4,6,1,8,7] => [2,4,6,5,3,1,8,7] => [3,2,5,4,6,1,8,7]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,5,7,8] => [3,2,5,4,7,6,8,1] => [2,4,6,8,7,5,3,1] => [3,2,5,4,7,6,8,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => [3,2,5,4,7,6,1,8] => [2,4,6,7,5,3,1,8] => [3,2,5,4,7,6,1,8]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,3,6,7,5,8] => [3,2,5,4,8,6,7,1] => [2,4,6,7,8,5,3,1] => [3,2,5,4,8,6,7,1]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,3,6,7,8,5] => [3,2,5,4,1,6,7,8] => [2,4,5,3,1,6,7,8] => [3,2,5,4,1,6,7,8]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,8,7,5] => [3,2,5,4,1,6,8,7] => [2,4,5,3,1,6,8,7] => [3,2,5,4,1,6,8,7]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,6,8,5] => [3,2,5,4,1,7,6,8] => [2,4,5,3,1,7,6,8] => [3,2,5,4,1,7,6,8]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,8,6,7,5] => [3,2,5,4,1,7,8,6] => [2,4,5,3,1,8,7,6] => [3,2,5,4,1,7,8,6]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,7,6,5] => [3,2,5,4,1,8,7,6] => [2,4,5,3,1,7,8,6] => [3,2,5,4,1,8,7,6]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3,7,8,6] => [3,2,6,4,5,1,7,8] => [2,4,5,6,3,1,7,8] => [3,2,6,4,5,1,7,8]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,1,4,5,6,3,8,7] => [3,2,7,4,5,6,1,8] => [2,4,5,6,7,3,1,8] => [3,2,7,4,5,6,1,8]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,7,3,8] => [3,2,8,4,5,6,7,1] => [2,4,5,6,7,8,3,1] => [3,2,8,4,5,6,7,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,8,3] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,4,5,6,8,7,3] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,4,5,7,6,8,3] => [3,2,1,4,5,7,6,8] => [2,3,1,4,5,7,6,8] => [3,2,1,4,5,7,6,8]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,4,5,8,7,6,3] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,4,6,5,3,7,8] => [3,2,7,4,6,5,8,1] => [2,4,6,5,8,7,3,1] => [3,2,7,4,6,5,8,1]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,1,4,6,5,7,3,8] => [3,2,8,4,6,5,7,1] => [2,4,6,5,7,8,3,1] => [3,2,8,4,6,5,7,1]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,1,4,8,5,6,7,3] => [3,2,1,4,6,7,8,5] => [2,3,1,4,8,7,6,5] => [3,2,1,4,6,7,8,5]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,1,4,8,5,7,6,3] => [3,2,1,4,6,8,7,5] => [2,3,1,4,7,8,6,5] => [3,2,1,4,6,8,7,5]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,1,4,7,6,5,8,3] => [3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,4,8,6,7,5,3] => [3,2,1,4,8,6,7,5] => [2,3,1,4,6,7,8,5] => [3,2,1,4,8,6,7,5]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,1,4,8,7,6,5,3] => [3,2,1,4,8,7,6,5] => [2,3,1,4,7,6,8,5] => [3,2,1,4,8,7,6,5]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,1,5,4,3,6,8,7] => [3,2,6,5,4,7,1,8] => [2,5,4,7,6,3,1,8] => [3,2,6,5,4,7,1,8]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,5,4,3,7,6,8] => [3,2,6,5,4,8,7,1] => [2,5,4,7,8,6,3,1] => [3,2,6,5,4,8,7,1]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7] => [3,2,7,5,4,6,1,8] => [2,5,4,6,7,3,1,8] => [3,2,7,5,4,6,1,8]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,5,4,6,7,3,8] => [3,2,8,5,4,6,7,1] => [2,5,4,6,7,8,3,1] => [3,2,8,5,4,6,7,1]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,1,5,4,6,7,8,3] => [3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,5,4,7,6,3,8] => [3,2,8,5,4,7,6,1] => [2,5,4,7,6,8,3,1] => [3,2,8,5,4,7,6,1]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,6,4,5,3,7,8] => [3,2,7,5,6,4,8,1] => [2,6,5,4,8,7,3,1] => [3,2,7,5,6,4,8,1]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,6,4,5,7,3,8] => [3,2,8,5,6,4,7,1] => [2,6,5,4,7,8,3,1] => [3,2,8,5,6,4,7,1]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,1,6,4,5,7,8,3] => [3,2,1,5,6,4,7,8] => [2,3,1,6,5,4,7,8] => [3,2,1,5,6,4,7,8]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,1,8,4,5,6,7,3] => [3,2,1,5,6,7,8,4] => [2,3,1,8,7,6,5,4] => [3,2,1,5,6,7,8,4]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,1,7,4,6,5,8,3] => [3,2,1,5,7,6,4,8] => [2,3,1,6,7,5,4,8] => [3,2,1,5,7,6,4,8]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,8,4,6,5,7,3] => [3,2,1,5,7,6,8,4] => [2,3,1,6,8,7,5,4] => [3,2,1,5,7,6,8,4]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,8,4,6,7,5,3] => [3,2,1,5,8,6,7,4] => [2,3,1,6,7,8,5,4] => [3,2,1,5,8,6,7,4]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,1,8,4,7,6,5,3] => [3,2,1,5,8,7,6,4] => [2,3,1,7,6,8,5,4] => [3,2,1,5,8,7,6,4]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => [3,2,7,6,5,4,1,8] => [2,5,6,4,7,3,1,8] => [3,2,7,6,5,4,1,8]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,5,4,7,8,3] => [3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,8,5,4,7,6,3] => [3,2,1,6,5,8,7,4] => [2,3,1,5,7,8,6,4] => [3,2,1,6,5,8,7,4]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,7,5,6,4,3,8] => [3,2,8,7,5,6,4,1] => [2,5,6,7,4,8,3,1] => [3,2,8,7,5,6,4,1]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,1,7,5,6,4,8,3] => [3,2,1,7,5,6,4,8] => [2,3,1,5,6,7,4,8] => [3,2,1,7,5,6,4,8]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,8,5,6,7,4,3] => [3,2,1,8,5,6,7,4] => [2,3,1,5,6,7,8,4] => [3,2,1,8,5,6,7,4]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,1,8,5,7,6,4,3] => [3,2,1,8,5,7,6,4] => [2,3,1,5,7,6,8,4] => [3,2,1,8,5,7,6,4]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,7,6,5,4,8,3] => [3,2,1,7,6,5,4,8] => [2,3,1,6,5,7,4,8] => [3,2,1,7,6,5,4,8]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,8,6,5,4,7,3] => [3,2,1,7,6,5,8,4] => [2,3,1,6,5,8,7,4] => [3,2,1,7,6,5,8,4]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,8,7,5,6,4,3] => [3,2,1,8,6,7,5,4] => [2,3,1,7,6,5,8,4] => [3,2,1,8,6,7,5,4]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => [3,2,1,8,7,6,5,4] => [2,3,1,6,7,5,8,4] => [3,2,1,8,7,6,5,4]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7,8] => [4,2,3,5,6,7,8,1] => [2,3,8,7,6,5,4,1] => [4,2,3,5,6,7,8,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,6,8,7] => [4,2,3,5,6,7,1,8] => [2,3,7,6,5,4,1,8] => [4,2,3,5,6,7,1,8]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => [4,2,3,5,6,1,7,8] => [2,3,6,5,4,1,7,8] => [4,2,3,5,6,1,7,8]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5,8,7,6] => [4,2,3,5,6,1,8,7] => [2,3,6,5,4,1,8,7] => [4,2,3,5,6,1,8,7]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,4,6,5,8,7] => [4,2,3,5,7,6,1,8] => [2,3,6,7,5,4,1,8] => [4,2,3,5,7,6,1,8]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,3,1,4,6,7,8,5] => [4,2,3,5,1,6,7,8] => [2,3,5,4,1,6,7,8] => [4,2,3,5,1,6,7,8]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,3,1,4,6,8,7,5] => [4,2,3,5,1,6,8,7] => [2,3,5,4,1,6,8,7] => [4,2,3,5,1,6,8,7]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,3,1,4,8,6,7,5] => [4,2,3,5,1,7,8,6] => [2,3,5,4,1,8,7,6] => [4,2,3,5,1,7,8,6]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6,8] => [4,2,3,6,5,8,7,1] => [2,3,5,7,8,6,4,1] => [4,2,3,6,5,8,7,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,3,1,5,4,7,8,6] => [4,2,3,6,5,1,7,8] => [2,3,5,6,4,1,7,8] => [4,2,3,6,5,1,7,8]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,3,1,5,6,4,7,8] => [4,2,3,7,5,6,8,1] => [2,3,5,6,8,7,4,1] => [4,2,3,7,5,6,8,1]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,6,4,8,7] => [4,2,3,7,5,6,1,8] => [2,3,5,6,7,4,1,8] => [4,2,3,7,5,6,1,8]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,3,1,5,6,7,4,8] => [4,2,3,8,5,6,7,1] => [2,3,5,6,7,8,4,1] => [4,2,3,8,5,6,7,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,3,1,5,6,7,8,4] => [4,2,3,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,3,1,5,7,6,8,4] => [4,2,3,1,5,7,6,8] => [2,3,4,1,5,7,6,8] => [4,2,3,1,5,7,6,8]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,3,1,5,8,6,7,4] => [4,2,3,1,5,7,8,6] => [2,3,4,1,5,8,7,6] => [4,2,3,1,5,7,8,6]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,3,1,5,8,7,6,4] => [4,2,3,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => [4,2,3,1,5,8,7,6]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,6,5,4,7,8] => [4,2,3,7,6,5,8,1] => [2,3,6,5,8,7,4,1] => [4,2,3,7,6,5,8,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,5,7,8,4] => [4,2,3,1,6,5,7,8] => [2,3,4,1,6,5,7,8] => [4,2,3,1,6,5,7,8]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,3,1,6,5,8,7,4] => [4,2,3,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => [4,2,3,1,6,5,8,7]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,3,1,7,5,6,4,8] => [4,2,3,8,6,7,5,1] => [2,3,7,6,5,8,4,1] => [4,2,3,8,6,7,5,1]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,3,1,8,5,6,7,4] => [4,2,3,1,6,7,8,5] => [2,3,4,1,8,7,6,5] => [4,2,3,1,6,7,8,5]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,3,1,8,5,7,6,4] => [4,2,3,1,6,8,7,5] => [2,3,4,1,7,8,6,5] => [4,2,3,1,6,8,7,5]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,7,6,5,8,4] => [4,2,3,1,7,6,5,8] => [2,3,4,1,6,7,5,8] => [4,2,3,1,7,6,5,8]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,8,6,5,7,4] => [4,2,3,1,7,6,8,5] => [2,3,4,1,6,8,7,5] => [4,2,3,1,7,6,8,5]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,3,1,8,6,7,5,4] => [4,2,3,1,8,6,7,5] => [2,3,4,1,6,7,8,5] => [4,2,3,1,8,6,7,5]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,8,7,6,5,4] => [4,2,3,1,8,7,6,5] => [2,3,4,1,7,6,8,5] => [4,2,3,1,8,7,6,5]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7,8] => [5,2,3,4,6,7,8,1] => [2,3,4,8,7,6,5,1] => [5,2,3,4,6,7,8,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5,6,8,7] => [5,2,3,4,6,7,1,8] => [2,3,4,7,6,5,1,8] => [5,2,3,4,6,7,1,8]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,4,1,5,7,8,6] => [5,2,3,4,6,1,7,8] => [2,3,4,6,5,1,7,8] => [5,2,3,4,6,1,7,8]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,8,7] => [5,2,3,4,7,6,1,8] => [2,3,4,6,7,5,1,8] => [5,2,3,4,7,6,1,8]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,4,1,6,7,5,8] => [5,2,3,4,8,6,7,1] => [2,3,4,6,7,8,5,1] => [5,2,3,4,8,6,7,1]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => [5,2,3,4,1,6,7,8] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,4,1,6,8,7,5] => [5,2,3,4,1,6,8,7] => [2,3,4,5,1,6,8,7] => [5,2,3,4,1,6,8,7]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,4,1,7,6,5,8] => [5,2,3,4,8,7,6,1] => [2,3,4,7,6,8,5,1] => [5,2,3,4,8,7,6,1]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,4,1,8,6,7,5] => [5,2,3,4,1,7,8,6] => [2,3,4,5,1,8,7,6] => [5,2,3,4,1,7,8,6]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,4,1,8,7,6,5] => [5,2,3,4,1,8,7,6] => [2,3,4,5,1,7,8,6] => [5,2,3,4,1,8,7,6]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => [6,2,3,4,5,7,8,1] => [2,3,4,5,8,7,6,1] => [6,2,3,4,5,7,8,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,5,1,6,8,7] => [6,2,3,4,5,7,1,8] => [2,3,4,5,7,6,1,8] => [6,2,3,4,5,7,1,8]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,5,1,7,6,8] => [6,2,3,4,5,8,7,1] => [2,3,4,5,7,8,6,1] => [6,2,3,4,5,8,7,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,5,1,7,8,6] => [6,2,3,4,5,1,7,8] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,5,1,8,7,6] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => [6,2,3,4,5,1,8,7]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,8,7,1] => [7,2,3,4,5,6,8,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1]
[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] => [1,2,3,4,5,6,7,8] => [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] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,5,7,6,1,8] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,6,8,1] => [8,2,3,4,5,7,6,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,5,7,6,8,1] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,5,8,6,7,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,5,8,7,6,1] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,3,4,6,5,1,8,7] => [7,2,3,4,6,5,1,8] => [2,3,4,6,5,7,1,8] => [7,2,3,4,6,5,1,8]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,4,6,5,7,8,1] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,4,6,5,8,7,1] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,4,7,5,6,8,1] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,8,5,6,7,1] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,7,6,5] => [1,2,3,4,6,7,8,5]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,4,8,5,7,6,1] => [1,2,3,4,6,8,7,5] => [1,2,3,4,7,8,6,5] => [1,2,3,4,6,8,7,5]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,4,7,6,5,1,8] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,5,8,1] => [8,2,3,4,7,6,5,1]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,4,7,6,5,8,1] => [1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,4,8,6,5,7,1] => [1,2,3,4,7,6,8,5] => [1,2,3,4,6,8,7,5] => [1,2,3,4,7,6,8,5]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,4,8,6,7,5,1] => [1,2,3,4,8,6,7,5] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,8,7,6,5,1] => [1,2,3,4,8,7,6,5] => [1,2,3,4,7,6,8,5] => [1,2,3,4,8,7,6,5]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,3,5,4,1,6,7,8] => [6,2,3,5,4,7,8,1] => [2,3,5,4,8,7,6,1] => [6,2,3,5,4,7,8,1]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,3,5,4,1,7,8,6] => [6,2,3,5,4,1,7,8] => [2,3,5,4,6,1,7,8] => [6,2,3,5,4,1,7,8]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,3,5,4,6,7,1,8] => [8,2,3,5,4,6,7,1] => [2,3,5,4,6,7,8,1] => [8,2,3,5,4,6,7,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,3,5,4,6,7,8,1] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,3,5,4,7,6,1,8] => [8,2,3,5,4,7,6,1] => [2,3,5,4,7,6,8,1] => [8,2,3,5,4,7,6,1]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,5,4,7,6,8,1] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,3,5,4,8,6,7,1] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,3,5,4,8,7,6,1] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,6,4,5,7,8,1] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,3,6,4,5,8,7,1] => [1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,3,7,4,5,6,1,8] => [8,2,3,5,6,7,4,1] => [2,3,7,6,5,4,8,1] => [8,2,3,5,6,7,4,1]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => [1,2,3,5,6,7,4,8] => [1,2,3,7,6,5,4,8] => [1,2,3,5,6,7,4,8]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,8,4,5,6,7,1] => [1,2,3,5,6,7,8,4] => [1,2,3,8,7,6,5,4] => [1,2,3,5,6,7,8,4]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,3,8,4,5,7,6,1] => [1,2,3,5,6,8,7,4] => [1,2,3,7,8,6,5,4] => [1,2,3,5,6,8,7,4]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,3,7,4,6,5,8,1] => [1,2,3,5,7,6,4,8] => [1,2,3,6,7,5,4,8] => [1,2,3,5,7,6,4,8]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,8,4,6,7,5,1] => [1,2,3,5,8,6,7,4] => [1,2,3,6,7,8,5,4] => [1,2,3,5,8,6,7,4]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,6,5,4,1,8,7] => [7,2,3,6,5,4,1,8] => [2,3,5,6,4,7,1,8] => [7,2,3,6,5,4,1,8]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,6,5,4,7,8,1] => [1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,7,5,4,6,8,1] => [1,2,3,6,5,7,4,8] => [1,2,3,5,7,6,4,8] => [1,2,3,6,5,7,4,8]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,8,5,4,6,7,1] => [1,2,3,6,5,7,8,4] => [1,2,3,5,8,7,6,4] => [1,2,3,6,5,7,8,4]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,8,5,4,7,6,1] => [1,2,3,6,5,8,7,4] => [1,2,3,5,7,8,6,4] => [1,2,3,6,5,8,7,4]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,3,7,5,6,4,1,8] => [8,2,3,7,5,6,4,1] => [2,3,5,6,7,4,8,1] => [8,2,3,7,5,6,4,1]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,7,5,6,4,8,1] => [1,2,3,7,5,6,4,8] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,8,5,6,4,7,1] => [1,2,3,7,5,6,8,4] => [1,2,3,5,6,8,7,4] => [1,2,3,7,5,6,8,4]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,8,5,6,7,4,1] => [1,2,3,8,5,6,7,4] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,8,5,7,6,4,1] => [1,2,3,8,5,7,6,4] => [1,2,3,5,7,6,8,4] => [1,2,3,8,5,7,6,4]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,3,7,6,5,4,8,1] => [1,2,3,7,6,5,4,8] => [1,2,3,6,5,7,4,8] => [1,2,3,7,6,5,4,8]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,3,8,6,5,4,7,1] => [1,2,3,7,6,5,8,4] => [1,2,3,6,5,8,7,4] => [1,2,3,7,6,5,8,4]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,3,8,7,5,6,4,1] => [1,2,3,8,6,7,5,4] => [1,2,3,7,6,5,8,4] => [1,2,3,8,6,7,5,4]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,8,7,6,5,4,1] => [1,2,3,8,7,6,5,4] => [1,2,3,6,7,5,8,4] => [1,2,3,8,7,6,5,4]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,4,3,1,5,7,8,6] => [5,2,4,3,6,1,7,8] => [2,4,3,6,5,1,7,8] => [5,2,4,3,6,1,7,8]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,4,3,1,5,8,7,6] => [5,2,4,3,6,1,8,7] => [2,4,3,6,5,1,8,7] => [5,2,4,3,6,1,8,7]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,4,3,1,6,7,8,5] => [5,2,4,3,1,6,7,8] => [2,4,3,5,1,6,7,8] => [5,2,4,3,1,6,7,8]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => [5,2,4,3,1,6,8,7] => [2,4,3,5,1,6,8,7] => [5,2,4,3,1,6,8,7]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => [5,2,4,3,1,7,6,8] => [2,4,3,5,1,7,6,8] => [5,2,4,3,1,7,6,8]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,4,3,1,8,7,6,5] => [5,2,4,3,1,8,7,6] => [2,4,3,5,1,7,8,6] => [5,2,4,3,1,8,7,6]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,4,3,5,1,8,7,6] => [6,2,4,3,5,1,8,7] => [2,4,3,5,6,1,8,7] => [6,2,4,3,5,1,8,7]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,4,3,5,6,7,8,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,4,3,5,6,8,7,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,4,3,5,7,6,8,1] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,4,3,5,8,6,7,1] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,4,3,5,8,7,6,1] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,4,3,6,5,1,7,8] => [7,2,4,3,6,5,8,1] => [2,4,3,6,5,8,7,1] => [7,2,4,3,6,5,8,1]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,4,3,6,5,1,8,7] => [7,2,4,3,6,5,1,8] => [2,4,3,6,5,7,1,8] => [7,2,4,3,6,5,1,8]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,4,3,6,5,7,1,8] => [8,2,4,3,6,5,7,1] => [2,4,3,6,5,7,8,1] => [8,2,4,3,6,5,7,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,4,3,6,5,7,8,1] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,8,7,1] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,4,3,7,5,6,1,8] => [8,2,4,3,6,7,5,1] => [2,4,3,7,6,5,8,1] => [8,2,4,3,6,7,5,1]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,4,3,8,5,6,7,1] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,7,6,5] => [1,2,4,3,6,7,8,5]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,4,3,8,5,7,6,1] => [1,2,4,3,6,8,7,5] => [1,2,4,3,7,8,6,5] => [1,2,4,3,6,8,7,5]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,4,3,7,6,5,1,8] => [8,2,4,3,7,6,5,1] => [2,4,3,6,7,5,8,1] => [8,2,4,3,7,6,5,1]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,4,3,8,6,5,7,1] => [1,2,4,3,7,6,8,5] => [1,2,4,3,6,8,7,5] => [1,2,4,3,7,6,8,5]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,4,3,8,6,7,5,1] => [1,2,4,3,8,6,7,5] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,4,3,8,7,6,5,1] => [1,2,4,3,8,7,6,5] => [1,2,4,3,7,6,8,5] => [1,2,4,3,8,7,6,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,5,3,4,1,7,6,8] => [6,2,4,5,3,8,7,1] => [2,5,4,3,7,8,6,1] => [6,2,4,5,3,8,7,1]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,5,3,4,1,8,7,6] => [6,2,4,5,3,1,8,7] => [2,5,4,3,6,1,8,7] => [6,2,4,5,3,1,8,7]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,5,3,4,6,1,8,7] => [7,2,4,5,3,6,1,8] => [2,5,4,3,6,7,1,8] => [7,2,4,5,3,6,1,8]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,5,3,4,6,7,8,1] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => [1,2,4,5,3,6,7,8]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,5,3,4,7,6,1,8] => [8,2,4,5,3,7,6,1] => [2,5,4,3,7,6,8,1] => [8,2,4,5,3,7,6,1]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,5,3,4,8,6,7,1] => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,5,3,4,8,7,6,1] => [1,2,4,5,3,8,7,6] => [1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,7,6]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,6,3,4,5,7,8,1] => [1,2,4,5,6,3,7,8] => [1,2,6,5,4,3,7,8] => [1,2,4,5,6,3,7,8]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,7,3,4,5,6,1,8] => [8,2,4,5,6,7,3,1] => [2,7,6,5,4,3,8,1] => [8,2,4,5,6,7,3,1]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,7,3,4,5,6,8,1] => [1,2,4,5,6,7,3,8] => [1,2,7,6,5,4,3,8] => [1,2,4,5,6,7,3,8]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,8,3,4,5,6,7,1] => [1,2,4,5,6,7,8,3] => [1,2,8,7,6,5,4,3] => [1,2,4,5,6,7,8,3]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,8,3,4,5,7,6,1] => [1,2,4,5,6,8,7,3] => [1,2,7,8,6,5,4,3] => [1,2,4,5,6,8,7,3]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,8,3,4,6,7,5,1] => [1,2,4,5,8,6,7,3] => [1,2,6,7,8,5,4,3] => [1,2,4,5,8,6,7,3]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,6,3,5,4,7,8,1] => [1,2,4,6,5,3,7,8] => [1,2,5,6,4,3,7,8] => [1,2,4,6,5,3,7,8]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,7,3,5,4,6,8,1] => [1,2,4,6,5,7,3,8] => [1,2,5,7,6,4,3,8] => [1,2,4,6,5,7,3,8]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,8,3,5,4,6,7,1] => [1,2,4,6,5,7,8,3] => [1,2,5,8,7,6,4,3] => [1,2,4,6,5,7,8,3]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,7,3,5,6,4,1,8] => [8,2,4,7,5,6,3,1] => [2,5,6,7,4,3,8,1] => [8,2,4,7,5,6,3,1]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,8,3,5,6,7,4,1] => [1,2,4,8,5,6,7,3] => [1,2,5,6,7,8,4,3] => [1,2,4,8,5,6,7,3]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,7,3,6,5,4,1,8] => [8,2,4,7,6,5,3,1] => [2,6,5,7,4,3,8,1] => [8,2,4,7,6,5,3,1]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,8,3,6,5,4,7,1] => [1,2,4,7,6,5,8,3] => [1,2,6,5,8,7,4,3] => [1,2,4,7,6,5,8,3]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,5,4,3,1,6,7,8] => [6,2,5,4,3,7,8,1] => [2,4,5,3,8,7,6,1] => [6,2,5,4,3,7,8,1]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,5,4,3,1,8,7,6] => [6,2,5,4,3,1,8,7] => [2,4,5,3,6,1,8,7] => [6,2,5,4,3,1,8,7]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,5,4,3,6,1,8,7] => [7,2,5,4,3,6,1,8] => [2,4,5,3,6,7,1,8] => [7,2,5,4,3,6,1,8]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,5,4,3,6,7,1,8] => [8,2,5,4,3,6,7,1] => [2,4,5,3,6,7,8,1] => [8,2,5,4,3,6,7,1]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,5,4,3,6,7,8,1] => [1,2,5,4,3,6,7,8] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,5,4,3,8,6,7,1] => [1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,7,6] => [1,2,5,4,3,7,8,6]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,5,4,3,8,7,6,1] => [1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,6,4,3,5,1,7,8] => [7,2,5,4,6,3,8,1] => [2,4,6,5,3,8,7,1] => [7,2,5,4,6,3,8,1]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,8,4,3,5,6,7,1] => [1,2,5,4,6,7,8,3] => [1,2,4,8,7,6,5,3] => [1,2,5,4,6,7,8,3]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,8,4,3,5,7,6,1] => [1,2,5,4,6,8,7,3] => [1,2,4,7,8,6,5,3] => [1,2,5,4,6,8,7,3]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,7,4,3,6,5,1,8] => [8,2,5,4,7,6,3,1] => [2,4,6,7,5,3,8,1] => [8,2,5,4,7,6,3,1]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,8,4,3,6,5,7,1] => [1,2,5,4,7,6,8,3] => [1,2,4,6,8,7,5,3] => [1,2,5,4,7,6,8,3]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,8,4,3,6,7,5,1] => [1,2,5,4,8,6,7,3] => [1,2,4,6,7,8,5,3] => [1,2,5,4,8,6,7,3]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,8,4,3,7,6,5,1] => [1,2,5,4,8,7,6,3] => [1,2,4,7,6,8,5,3] => [1,2,5,4,8,7,6,3]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,6,4,5,3,1,7,8] => [7,2,6,4,5,3,8,1] => [2,4,5,6,3,8,7,1] => [7,2,6,4,5,3,8,1]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,6,4,5,3,1,8,7] => [7,2,6,4,5,3,1,8] => [2,4,5,6,3,7,1,8] => [7,2,6,4,5,3,1,8]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,6,4,5,3,7,8,1] => [1,2,6,4,5,3,7,8] => [1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,8,4,5,3,6,7,1] => [1,2,6,4,5,7,8,3] => [1,2,4,5,8,7,6,3] => [1,2,6,4,5,7,8,3]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,7,4,5,6,3,1,8] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,3,8,1] => [8,2,7,4,5,6,3,1]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,8,4,5,6,3,7,1] => [1,2,7,4,5,6,8,3] => [1,2,4,5,6,8,7,3] => [1,2,7,4,5,6,8,3]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,8,4,5,6,7,3,1] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,8,4,7,5,6,3,1] => [1,2,8,4,6,7,5,3] => [1,2,4,7,6,5,8,3] => [1,2,8,4,6,7,5,3]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,6,5,4,3,1,8,7] => [7,2,6,5,4,3,1,8] => [2,5,4,6,3,7,1,8] => [7,2,6,5,4,3,1,8]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,6,5,4,3,7,1,8] => [8,2,6,5,4,3,7,1] => [2,5,4,6,3,7,8,1] => [8,2,6,5,4,3,7,1]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,7,5,4,3,6,1,8] => [8,2,6,5,4,7,3,1] => [2,5,4,7,6,3,8,1] => [8,2,6,5,4,7,3,1]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,8,5,4,3,6,7,1] => [1,2,6,5,4,7,8,3] => [1,2,5,4,8,7,6,3] => [1,2,6,5,4,7,8,3]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,8,5,4,3,7,6,1] => [1,2,6,5,4,8,7,3] => [1,2,5,4,7,8,6,3] => [1,2,6,5,4,8,7,3]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,7,5,4,6,3,8,1] => [1,2,7,5,4,6,3,8] => [1,2,5,4,6,7,3,8] => [1,2,7,5,4,6,3,8]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,8,5,4,6,3,7,1] => [1,2,7,5,4,6,8,3] => [1,2,5,4,6,8,7,3] => [1,2,7,5,4,6,8,3]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,8,5,4,6,7,3,1] => [1,2,8,5,4,6,7,3] => [1,2,5,4,6,7,8,3] => [1,2,8,5,4,6,7,3]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,8,5,4,7,6,3,1] => [1,2,8,5,4,7,6,3] => [1,2,5,4,7,6,8,3] => [1,2,8,5,4,7,6,3]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,8,6,4,5,7,3,1] => [1,2,8,5,6,4,7,3] => [1,2,6,5,4,7,8,3] => [1,2,8,5,6,4,7,3]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,8,7,4,5,6,3,1] => [1,2,8,5,6,7,4,3] => [1,2,7,6,5,4,8,3] => [1,2,8,5,6,7,4,3]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,7,6,5,4,3,8,1] => [1,2,7,6,5,4,3,8] => [1,2,5,6,4,7,3,8] => [1,2,7,6,5,4,3,8]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,8,7,5,4,6,3,1] => [1,2,8,6,5,7,4,3] => [1,2,5,7,6,4,8,3] => [1,2,8,6,5,7,4,3]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,8,7,5,6,4,3,1] => [1,2,8,7,5,6,4,3] => [1,2,5,6,7,4,8,3] => [1,2,8,7,5,6,4,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => [4,3,2,5,6,7,8,1] => [3,2,8,7,6,5,4,1] => [4,3,2,5,6,7,8,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,2,1,4,5,6,8,7] => [4,3,2,5,6,7,1,8] => [3,2,7,6,5,4,1,8] => [4,3,2,5,6,7,1,8]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => [4,3,2,5,6,1,8,7] => [3,2,6,5,4,1,8,7] => [4,3,2,5,6,1,8,7]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [3,2,1,4,6,5,7,8] => [4,3,2,5,7,6,8,1] => [3,2,6,8,7,5,4,1] => [4,3,2,5,7,6,8,1]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [3,2,1,4,6,5,8,7] => [4,3,2,5,7,6,1,8] => [3,2,6,7,5,4,1,8] => [4,3,2,5,7,6,1,8]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,2,1,4,6,7,8,5] => [4,3,2,5,1,6,7,8] => [3,2,5,4,1,6,7,8] => [4,3,2,5,1,6,7,8]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,2,1,4,8,6,7,5] => [4,3,2,5,1,7,8,6] => [3,2,5,4,1,8,7,6] => [4,3,2,5,1,7,8,6]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,2,1,4,8,7,6,5] => [4,3,2,5,1,8,7,6] => [3,2,5,4,1,7,8,6] => [4,3,2,5,1,8,7,6]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,5,4,6,8,7] => [4,3,2,6,5,7,1,8] => [3,2,5,7,6,4,1,8] => [4,3,2,6,5,7,1,8]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,1,5,4,7,6,8] => [4,3,2,6,5,8,7,1] => [3,2,5,7,8,6,4,1] => [4,3,2,6,5,8,7,1]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,1,5,4,8,7,6] => [4,3,2,6,5,1,8,7] => [3,2,5,6,4,1,8,7] => [4,3,2,6,5,1,8,7]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [3,2,1,5,6,7,4,8] => [4,3,2,8,5,6,7,1] => [3,2,5,6,7,8,4,1] => [4,3,2,8,5,6,7,1]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,2,1,5,6,7,8,4] => [4,3,2,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,2,1,5,6,8,7,4] => [4,3,2,1,5,6,8,7] => [3,2,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,2,1,5,7,6,4,8] => [4,3,2,8,5,7,6,1] => [3,2,5,7,6,8,4,1] => [4,3,2,8,5,7,6,1]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [3,2,1,5,7,6,8,4] => [4,3,2,1,5,7,6,8] => [3,2,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,2,1,5,8,6,7,4] => [4,3,2,1,5,7,8,6] => [3,2,4,1,5,8,7,6] => [4,3,2,1,5,7,8,6]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,2,1,5,8,7,6,4] => [4,3,2,1,5,8,7,6] => [3,2,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [3,2,1,6,5,4,7,8] => [4,3,2,7,6,5,8,1] => [3,2,6,5,8,7,4,1] => [4,3,2,7,6,5,8,1]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [3,2,1,6,5,7,8,4] => [4,3,2,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => [4,3,2,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,2,1,7,5,6,8,4] => [4,3,2,1,6,7,5,8] => [3,2,4,1,7,6,5,8] => [4,3,2,1,6,7,5,8]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,8,5,6,7,4] => [4,3,2,1,6,7,8,5] => [3,2,4,1,8,7,6,5] => [4,3,2,1,6,7,8,5]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,2,1,8,5,7,6,4] => [4,3,2,1,6,8,7,5] => [3,2,4,1,7,8,6,5] => [4,3,2,1,6,8,7,5]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,2,1,7,6,5,4,8] => [4,3,2,8,7,6,5,1] => [3,2,6,7,5,8,4,1] => [4,3,2,8,7,6,5,1]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,2,1,7,6,5,8,4] => [4,3,2,1,7,6,5,8] => [3,2,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,2,1,8,6,5,7,4] => [4,3,2,1,7,6,8,5] => [3,2,4,1,6,8,7,5] => [4,3,2,1,7,6,8,5]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,2,1,8,6,7,5,4] => [4,3,2,1,8,6,7,5] => [3,2,4,1,6,7,8,5] => [4,3,2,1,8,6,7,5]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => [4,3,2,1,8,7,6,5] => [3,2,4,1,7,6,8,5] => [4,3,2,1,8,7,6,5]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7,8] => [5,3,2,4,6,7,8,1] => [3,2,4,8,7,6,5,1] => [5,3,2,4,6,7,8,1]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7] => [5,3,2,4,7,6,1,8] => [3,2,4,6,7,5,1,8] => [5,3,2,4,7,6,1,8]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [3,2,4,1,6,7,8,5] => [5,3,2,4,1,6,7,8] => [3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [3,2,4,5,6,1,7,8] => [7,3,2,4,5,6,8,1] => [3,2,4,5,6,8,7,1] => [7,3,2,4,5,6,8,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,7,1,8] => [8,3,2,4,5,6,7,1] => [3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [3,2,4,5,6,8,7,1] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [3,2,4,5,7,6,8,1] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [3,2,4,5,8,6,7,1] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [3,2,4,6,5,8,7,1] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [3,2,4,7,5,6,1,8] => [8,3,2,4,6,7,5,1] => [3,2,4,7,6,5,8,1] => [8,3,2,4,6,7,5,1]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [3,2,4,7,5,6,8,1] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8] => [1,3,2,4,6,7,5,8]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [3,2,4,8,5,6,7,1] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,7,6,5] => [1,3,2,4,6,7,8,5]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [3,2,4,7,6,5,8,1] => [1,3,2,4,7,6,5,8] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [3,2,4,8,6,5,7,1] => [1,3,2,4,7,6,8,5] => [1,3,2,4,6,8,7,5] => [1,3,2,4,7,6,8,5]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,8,6,7,5,1] => [1,3,2,4,8,6,7,5] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,6,7,5]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,2,4,8,7,6,5,1] => [1,3,2,4,8,7,6,5] => [1,3,2,4,7,6,8,5] => [1,3,2,4,8,7,6,5]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [3,2,5,4,1,6,8,7] => [6,3,2,5,4,7,1,8] => [3,2,5,4,7,6,1,8] => [6,3,2,5,4,7,1,8]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [3,2,5,4,1,7,6,8] => [6,3,2,5,4,8,7,1] => [3,2,5,4,7,8,6,1] => [6,3,2,5,4,8,7,1]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => [6,3,2,5,4,1,8,7] => [3,2,5,4,6,1,8,7] => [6,3,2,5,4,1,8,7]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [3,2,5,4,6,7,8,1] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => [8,3,2,5,4,7,6,1] => [3,2,5,4,7,6,8,1] => [8,3,2,5,4,7,6,1]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [3,2,5,4,8,6,7,1] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [3,2,6,4,5,1,7,8] => [7,3,2,5,6,4,8,1] => [3,2,6,5,4,8,7,1] => [7,3,2,5,6,4,8,1]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [3,2,8,4,5,6,7,1] => [1,3,2,5,6,7,8,4] => [1,3,2,8,7,6,5,4] => [1,3,2,5,6,7,8,4]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [3,2,7,4,6,5,1,8] => [8,3,2,5,7,6,4,1] => [3,2,6,7,5,4,8,1] => [8,3,2,5,7,6,4,1]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [3,2,7,4,6,5,8,1] => [1,3,2,5,7,6,4,8] => [1,3,2,6,7,5,4,8] => [1,3,2,5,7,6,4,8]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [3,2,8,4,6,5,7,1] => [1,3,2,5,7,6,8,4] => [1,3,2,6,8,7,5,4] => [1,3,2,5,7,6,8,4]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [3,2,7,5,4,6,1,8] => [8,3,2,6,5,7,4,1] => [3,2,5,7,6,4,8,1] => [8,3,2,6,5,7,4,1]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [3,2,8,5,4,6,7,1] => [1,3,2,6,5,7,8,4] => [1,3,2,5,8,7,6,4] => [1,3,2,6,5,7,8,4]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [3,2,8,5,4,7,6,1] => [1,3,2,6,5,8,7,4] => [1,3,2,5,7,8,6,4] => [1,3,2,6,5,8,7,4]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [3,2,7,5,6,4,1,8] => [8,3,2,7,5,6,4,1] => [3,2,5,6,7,4,8,1] => [8,3,2,7,5,6,4,1]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [3,2,8,5,6,4,7,1] => [1,3,2,7,5,6,8,4] => [1,3,2,5,6,8,7,4] => [1,3,2,7,5,6,8,4]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [3,2,8,5,7,6,4,1] => [1,3,2,8,5,7,6,4] => [1,3,2,5,7,6,8,4] => [1,3,2,8,5,7,6,4]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => [8,3,2,7,6,5,4,1] => [3,2,6,5,7,4,8,1] => [8,3,2,7,6,5,4,1]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [3,2,7,6,5,4,8,1] => [1,3,2,7,6,5,4,8] => [1,3,2,6,5,7,4,8] => [1,3,2,7,6,5,4,8]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [3,2,8,6,5,4,7,1] => [1,3,2,7,6,5,8,4] => [1,3,2,6,5,8,7,4] => [1,3,2,7,6,5,8,4]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [3,2,8,6,5,7,4,1] => [1,3,2,8,6,5,7,4] => [1,3,2,6,5,7,8,4] => [1,3,2,8,6,5,7,4]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,2,8,7,5,6,4,1] => [1,3,2,8,6,7,5,4] => [1,3,2,7,6,5,8,4] => [1,3,2,8,6,7,5,4]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,2,8,7,6,5,4,1] => [1,3,2,8,7,6,5,4] => [1,3,2,6,7,5,8,4] => [1,3,2,8,7,6,5,4]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,2,3,1,5,6,7,8] => [5,3,4,2,6,7,8,1] => [4,3,2,8,7,6,5,1] => [5,3,4,2,6,7,8,1]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [4,2,3,1,5,8,7,6] => [5,3,4,2,6,1,8,7] => [4,3,2,6,5,1,8,7] => [5,3,4,2,6,1,8,7]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,2,3,1,6,5,7,8] => [5,3,4,2,7,6,8,1] => [4,3,2,6,8,7,5,1] => [5,3,4,2,7,6,8,1]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,3,1,6,5,8,7] => [5,3,4,2,7,6,1,8] => [4,3,2,6,7,5,1,8] => [5,3,4,2,7,6,1,8]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,2,3,1,6,7,8,5] => [5,3,4,2,1,6,7,8] => [4,3,2,5,1,6,7,8] => [5,3,4,2,1,6,7,8]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => [5,3,4,2,1,7,8,6] => [4,3,2,5,1,8,7,6] => [5,3,4,2,1,7,8,6]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,2,3,1,8,7,6,5] => [5,3,4,2,1,8,7,6] => [4,3,2,5,1,7,8,6] => [5,3,4,2,1,8,7,6]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [4,2,3,5,1,8,7,6] => [6,3,4,2,5,1,8,7] => [4,3,2,5,6,1,8,7] => [6,3,4,2,5,1,8,7]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [4,2,3,5,6,7,1,8] => [8,3,4,2,5,6,7,1] => [4,3,2,5,6,7,8,1] => [8,3,4,2,5,6,7,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [4,2,3,5,6,8,7,1] => [1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [4,2,3,5,7,6,8,1] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [4,2,3,5,8,7,6,1] => [1,3,4,2,5,8,7,6] => [1,4,3,2,5,7,8,6] => [1,3,4,2,5,8,7,6]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [4,2,3,6,5,1,7,8] => [7,3,4,2,6,5,8,1] => [4,3,2,6,5,8,7,1] => [7,3,4,2,6,5,8,1]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [4,2,3,6,5,1,8,7] => [7,3,4,2,6,5,1,8] => [4,3,2,6,5,7,1,8] => [7,3,4,2,6,5,1,8]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [4,2,3,7,5,6,8,1] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [4,2,3,8,5,6,7,1] => [1,3,4,2,6,7,8,5] => [1,4,3,2,8,7,6,5] => [1,3,4,2,6,7,8,5]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [4,2,3,8,6,7,5,1] => [1,3,4,2,8,6,7,5] => [1,4,3,2,6,7,8,5] => [1,3,4,2,8,6,7,5]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [5,2,3,4,1,6,7,8] => [6,3,4,5,2,7,8,1] => [5,4,3,2,8,7,6,1] => [6,3,4,5,2,7,8,1]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [5,2,3,4,1,6,8,7] => [6,3,4,5,2,7,1,8] => [5,4,3,2,7,6,1,8] => [6,3,4,5,2,7,1,8]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [5,2,3,4,1,7,6,8] => [6,3,4,5,2,8,7,1] => [5,4,3,2,7,8,6,1] => [6,3,4,5,2,8,7,1]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [5,2,3,4,1,7,8,6] => [6,3,4,5,2,1,7,8] => [5,4,3,2,6,1,7,8] => [6,3,4,5,2,1,7,8]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [5,2,3,4,1,8,7,6] => [6,3,4,5,2,1,8,7] => [5,4,3,2,6,1,8,7] => [6,3,4,5,2,1,8,7]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [5,2,3,4,6,7,1,8] => [8,3,4,5,2,6,7,1] => [5,4,3,2,6,7,8,1] => [8,3,4,5,2,6,7,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => [1,3,4,5,2,6,7,8] => [1,5,4,3,2,6,7,8] => [1,3,4,5,2,6,7,8]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [5,2,3,4,7,6,1,8] => [8,3,4,5,2,7,6,1] => [5,4,3,2,7,6,8,1] => [8,3,4,5,2,7,6,1]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [5,2,3,4,7,6,8,1] => [1,3,4,5,2,7,6,8] => [1,5,4,3,2,7,6,8] => [1,3,4,5,2,7,6,8]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [5,2,3,4,8,6,7,1] => [1,3,4,5,2,7,8,6] => [1,5,4,3,2,8,7,6] => [1,3,4,5,2,7,8,6]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [5,2,3,4,8,7,6,1] => [1,3,4,5,2,8,7,6] => [1,5,4,3,2,7,8,6] => [1,3,4,5,2,8,7,6]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [6,2,3,4,5,1,7,8] => [7,3,4,5,6,2,8,1] => [6,5,4,3,2,8,7,1] => [7,3,4,5,6,2,8,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [6,2,3,4,5,1,8,7] => [7,3,4,5,6,2,1,8] => [6,5,4,3,2,7,1,8] => [7,3,4,5,6,2,1,8]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [6,2,3,4,5,7,1,8] => [8,3,4,5,6,2,7,1] => [6,5,4,3,2,7,8,1] => [8,3,4,5,6,2,7,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [6,2,3,4,5,7,8,1] => [1,3,4,5,6,2,7,8] => [1,6,5,4,3,2,7,8] => [1,3,4,5,6,2,7,8]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [6,2,3,4,5,8,7,1] => [1,3,4,5,6,2,8,7] => [1,6,5,4,3,2,8,7] => [1,3,4,5,6,2,8,7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [7,2,3,4,5,6,1,8] => [8,3,4,5,6,7,2,1] => [7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [7,2,3,4,5,6,8,1] => [1,3,4,5,6,7,2,8] => [1,7,6,5,4,3,2,8] => [1,3,4,5,6,7,2,8]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,2,3,4,5,6,7,1] => [1,3,4,5,6,7,8,2] => [1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [8,2,3,4,5,7,6,1] => [1,3,4,5,6,8,7,2] => [1,7,8,6,5,4,3,2] => [1,3,4,5,6,8,7,2]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [7,2,3,4,6,5,1,8] => [8,3,4,5,7,6,2,1] => [6,7,5,4,3,2,8,1] => [8,3,4,5,7,6,2,1]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [7,2,3,4,6,5,8,1] => [1,3,4,5,7,6,2,8] => [1,6,7,5,4,3,2,8] => [1,3,4,5,7,6,2,8]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [8,2,3,4,6,5,7,1] => [1,3,4,5,7,6,8,2] => [1,6,8,7,5,4,3,2] => [1,3,4,5,7,6,8,2]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [8,2,3,4,6,7,5,1] => [1,3,4,5,8,6,7,2] => [1,6,7,8,5,4,3,2] => [1,3,4,5,8,6,7,2]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [8,2,3,4,7,6,5,1] => [1,3,4,5,8,7,6,2] => [1,7,6,8,5,4,3,2] => [1,3,4,5,8,7,6,2]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [8,2,3,5,4,6,7,1] => [1,3,4,6,5,7,8,2] => [1,5,8,7,6,4,3,2] => [1,3,4,6,5,7,8,2]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [8,2,3,5,6,7,4,1] => [1,3,4,8,5,6,7,2] => [1,5,6,7,8,4,3,2] => [1,3,4,8,5,6,7,2]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [7,2,3,6,5,4,1,8] => [8,3,4,7,6,5,2,1] => [6,5,7,4,3,2,8,1] => [8,3,4,7,6,5,2,1]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [8,2,3,6,5,4,7,1] => [1,3,4,7,6,5,8,2] => [1,6,5,8,7,4,3,2] => [1,3,4,7,6,5,8,2]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [8,2,3,6,5,7,4,1] => [1,3,4,8,6,5,7,2] => [1,6,5,7,8,4,3,2] => [1,3,4,8,6,5,7,2]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [8,2,3,7,6,5,4,1] => [1,3,4,8,7,6,5,2] => [1,6,7,5,8,4,3,2] => [1,3,4,8,7,6,5,2]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [5,2,4,3,1,6,7,8] => [6,3,5,4,2,7,8,1] => [4,5,3,2,8,7,6,1] => [6,3,5,4,2,7,8,1]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [5,2,4,3,1,6,8,7] => [6,3,5,4,2,7,1,8] => [4,5,3,2,7,6,1,8] => [6,3,5,4,2,7,1,8]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [5,2,4,3,1,8,7,6] => [6,3,5,4,2,1,8,7] => [4,5,3,2,6,1,8,7] => [6,3,5,4,2,1,8,7]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [5,2,4,3,6,7,1,8] => [8,3,5,4,2,6,7,1] => [4,5,3,2,6,7,8,1] => [8,3,5,4,2,6,7,1]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [5,2,4,3,6,7,8,1] => [1,3,5,4,2,6,7,8] => [1,4,5,3,2,6,7,8] => [1,3,5,4,2,6,7,8]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [5,2,4,3,7,6,8,1] => [1,3,5,4,2,7,6,8] => [1,4,5,3,2,7,6,8] => [1,3,5,4,2,7,6,8]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [7,2,4,3,5,6,8,1] => [1,3,5,4,6,7,2,8] => [1,4,7,6,5,3,2,8] => [1,3,5,4,6,7,2,8]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [8,2,4,3,5,6,7,1] => [1,3,5,4,6,7,8,2] => [1,4,8,7,6,5,3,2] => [1,3,5,4,6,7,8,2]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [7,2,4,3,6,5,1,8] => [8,3,5,4,7,6,2,1] => [4,6,7,5,3,2,8,1] => [8,3,5,4,7,6,2,1]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [7,2,4,3,6,5,8,1] => [1,3,5,4,7,6,2,8] => [1,4,6,7,5,3,2,8] => [1,3,5,4,7,6,2,8]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [8,2,4,3,6,5,7,1] => [1,3,5,4,7,6,8,2] => [1,4,6,8,7,5,3,2] => [1,3,5,4,7,6,8,2]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [6,2,4,5,3,1,7,8] => [7,3,6,4,5,2,8,1] => [4,5,6,3,2,8,7,1] => [7,3,6,4,5,2,8,1]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [6,2,4,5,3,7,1,8] => [8,3,6,4,5,2,7,1] => [4,5,6,3,2,7,8,1] => [8,3,6,4,5,2,7,1]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [8,2,4,5,3,6,7,1] => [1,3,6,4,5,7,8,2] => [1,4,5,8,7,6,3,2] => [1,3,6,4,5,7,8,2]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [8,2,4,5,3,7,6,1] => [1,3,6,4,5,8,7,2] => [1,4,5,7,8,6,3,2] => [1,3,6,4,5,8,7,2]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [7,2,4,5,6,3,1,8] => [8,3,7,4,5,6,2,1] => [4,5,6,7,3,2,8,1] => [8,3,7,4,5,6,2,1]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [8,2,4,5,6,7,3,1] => [1,3,8,4,5,6,7,2] => [1,4,5,6,7,8,3,2] => [1,3,8,4,5,6,7,2]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8,2,4,7,5,6,3,1] => [1,3,8,4,6,7,5,2] => [1,4,7,6,5,8,3,2] => [1,3,8,4,6,7,5,2]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [6,2,5,4,3,1,7,8] => [7,3,6,5,4,2,8,1] => [5,4,6,3,2,8,7,1] => [7,3,6,5,4,2,8,1]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [6,2,5,4,3,1,8,7] => [7,3,6,5,4,2,1,8] => [5,4,6,3,2,7,1,8] => [7,3,6,5,4,2,1,8]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [6,2,5,4,3,7,1,8] => [8,3,6,5,4,2,7,1] => [5,4,6,3,2,7,8,1] => [8,3,6,5,4,2,7,1]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [6,2,5,4,3,8,7,1] => [1,3,6,5,4,2,8,7] => [1,5,4,6,3,2,8,7] => [1,3,6,5,4,2,8,7]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [7,2,5,4,3,6,8,1] => [1,3,6,5,4,7,2,8] => [1,5,4,7,6,3,2,8] => [1,3,6,5,4,7,2,8]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [8,2,5,4,3,7,6,1] => [1,3,6,5,4,8,7,2] => [1,5,4,7,8,6,3,2] => [1,3,6,5,4,8,7,2]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [8,2,5,4,6,7,3,1] => [1,3,8,5,4,6,7,2] => [1,5,4,6,7,8,3,2] => [1,3,8,5,4,6,7,2]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [8,2,7,4,5,6,3,1] => [1,3,8,5,6,7,4,2] => [1,7,6,5,4,8,3,2] => [1,3,8,5,6,7,4,2]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [7,2,6,5,4,3,8,1] => [1,3,7,6,5,4,2,8] => [1,5,6,4,7,3,2,8] => [1,3,7,6,5,4,2,8]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => [5,4,3,2,6,7,8,1] => [3,4,2,8,7,6,5,1] => [5,4,3,2,6,7,8,1]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,3,2,1,5,6,8,7] => [5,4,3,2,6,7,1,8] => [3,4,2,7,6,5,1,8] => [5,4,3,2,6,7,1,8]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,3,2,1,5,7,6,8] => [5,4,3,2,6,8,7,1] => [3,4,2,7,8,6,5,1] => [5,4,3,2,6,8,7,1]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,3,2,1,5,8,7,6] => [5,4,3,2,6,1,8,7] => [3,4,2,6,5,1,8,7] => [5,4,3,2,6,1,8,7]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => [5,4,3,2,7,6,1,8] => [3,4,2,6,7,5,1,8] => [5,4,3,2,7,6,1,8]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,3,2,1,6,7,8,5] => [5,4,3,2,1,6,7,8] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,3,2,1,7,6,8,5] => [5,4,3,2,1,7,6,8] => [3,4,2,5,1,7,6,8] => [5,4,3,2,1,7,6,8]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,3,2,1,8,6,7,5] => [5,4,3,2,1,7,8,6] => [3,4,2,5,1,8,7,6] => [5,4,3,2,1,7,8,6]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => [5,4,3,2,1,8,7,6] => [3,4,2,5,1,7,8,6] => [5,4,3,2,1,8,7,6]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [4,3,2,5,1,7,6,8] => [6,4,3,2,5,8,7,1] => [3,4,2,5,7,8,6,1] => [6,4,3,2,5,8,7,1]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [4,3,2,5,1,8,7,6] => [6,4,3,2,5,1,8,7] => [3,4,2,5,6,1,8,7] => [6,4,3,2,5,1,8,7]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [4,3,2,5,6,1,7,8] => [7,4,3,2,5,6,8,1] => [3,4,2,5,6,8,7,1] => [7,4,3,2,5,6,8,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [4,3,2,5,6,7,1,8] => [8,4,3,2,5,6,7,1] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => [1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [4,3,2,5,6,8,7,1] => [1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [4,3,2,5,7,6,1,8] => [8,4,3,2,5,7,6,1] => [3,4,2,5,7,6,8,1] => [8,4,3,2,5,7,6,1]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [4,3,2,5,7,6,8,1] => [1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [4,3,2,5,8,7,6,1] => [1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [4,3,2,6,5,1,7,8] => [7,4,3,2,6,5,8,1] => [3,4,2,6,5,8,7,1] => [7,4,3,2,6,5,8,1]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [4,3,2,6,5,1,8,7] => [7,4,3,2,6,5,1,8] => [3,4,2,6,5,7,1,8] => [7,4,3,2,6,5,1,8]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [4,3,2,6,5,7,1,8] => [8,4,3,2,6,5,7,1] => [3,4,2,6,5,7,8,1] => [8,4,3,2,6,5,7,1]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,3,2,7,5,6,1,8] => [8,4,3,2,6,7,5,1] => [3,4,2,7,6,5,8,1] => [8,4,3,2,6,7,5,1]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [4,3,2,8,5,6,7,1] => [1,4,3,2,6,7,8,5] => [1,3,4,2,8,7,6,5] => [1,4,3,2,6,7,8,5]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => [1,4,3,2,6,8,7,5] => [1,3,4,2,7,8,6,5] => [1,4,3,2,6,8,7,5]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [4,3,2,7,6,5,1,8] => [8,4,3,2,7,6,5,1] => [3,4,2,6,7,5,8,1] => [8,4,3,2,7,6,5,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [4,3,2,7,6,5,8,1] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [4,3,2,8,6,5,7,1] => [1,4,3,2,7,6,8,5] => [1,3,4,2,6,8,7,5] => [1,4,3,2,7,6,8,5]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,3,2,8,6,7,5,1] => [1,4,3,2,8,6,7,5] => [1,3,4,2,6,7,8,5] => [1,4,3,2,8,6,7,5]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,3,2,8,7,6,5,1] => [1,4,3,2,8,7,6,5] => [1,3,4,2,7,6,8,5] => [1,4,3,2,8,7,6,5]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [5,3,2,4,1,8,7,6] => [6,4,3,5,2,1,8,7] => [3,5,4,2,6,1,8,7] => [6,4,3,5,2,1,8,7]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,3,2,4,6,1,8,7] => [7,4,3,5,2,6,1,8] => [3,5,4,2,6,7,1,8] => [7,4,3,5,2,6,1,8]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [5,3,2,4,6,7,8,1] => [1,4,3,5,2,6,7,8] => [1,3,5,4,2,6,7,8] => [1,4,3,5,2,6,7,8]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [5,3,2,4,7,6,1,8] => [8,4,3,5,2,7,6,1] => [3,5,4,2,7,6,8,1] => [8,4,3,5,2,7,6,1]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [5,3,2,4,7,6,8,1] => [1,4,3,5,2,7,6,8] => [1,3,5,4,2,7,6,8] => [1,4,3,5,2,7,6,8]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [5,3,2,4,8,7,6,1] => [1,4,3,5,2,8,7,6] => [1,3,5,4,2,7,8,6] => [1,4,3,5,2,8,7,6]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [6,3,2,4,5,7,1,8] => [8,4,3,5,6,2,7,1] => [3,6,5,4,2,7,8,1] => [8,4,3,5,6,2,7,1]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [7,3,2,4,5,6,8,1] => [1,4,3,5,6,7,2,8] => [1,3,7,6,5,4,2,8] => [1,4,3,5,6,7,2,8]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [8,3,2,4,5,6,7,1] => [1,4,3,5,6,7,8,2] => [1,3,8,7,6,5,4,2] => [1,4,3,5,6,7,8,2]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [7,3,2,4,6,5,8,1] => [1,4,3,5,7,6,2,8] => [1,3,6,7,5,4,2,8] => [1,4,3,5,7,6,2,8]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [8,3,2,4,6,7,5,1] => [1,4,3,5,8,6,7,2] => [1,3,6,7,8,5,4,2] => [1,4,3,5,8,6,7,2]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [6,3,2,5,4,1,7,8] => [7,4,3,6,5,2,8,1] => [3,5,6,4,2,8,7,1] => [7,4,3,6,5,2,8,1]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => [7,4,3,6,5,2,1,8] => [3,5,6,4,2,7,1,8] => [7,4,3,6,5,2,1,8]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [6,3,2,5,4,7,8,1] => [1,4,3,6,5,2,7,8] => [1,3,5,6,4,2,7,8] => [1,4,3,6,5,2,7,8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [7,3,2,5,4,6,8,1] => [1,4,3,6,5,7,2,8] => [1,3,5,7,6,4,2,8] => [1,4,3,6,5,7,2,8]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [8,3,2,5,4,6,7,1] => [1,4,3,6,5,7,8,2] => [1,3,5,8,7,6,4,2] => [1,4,3,6,5,7,8,2]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [8,3,2,5,4,7,6,1] => [1,4,3,6,5,8,7,2] => [1,3,5,7,8,6,4,2] => [1,4,3,6,5,8,7,2]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [8,3,2,5,6,7,4,1] => [1,4,3,8,5,6,7,2] => [1,3,5,6,7,8,4,2] => [1,4,3,8,5,6,7,2]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [8,3,2,5,7,6,4,1] => [1,4,3,8,5,7,6,2] => [1,3,5,7,6,8,4,2] => [1,4,3,8,5,7,6,2]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [8,3,2,6,5,7,4,1] => [1,4,3,8,6,5,7,2] => [1,3,6,5,7,8,4,2] => [1,4,3,8,6,5,7,2]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => [1,4,3,8,7,6,5,2] => [1,3,6,7,5,8,4,2] => [1,4,3,8,7,6,5,2]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,3,4,2,1,7,8,6] => [6,5,3,4,2,1,7,8] => [3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [5,3,4,2,6,7,1,8] => [8,5,3,4,2,6,7,1] => [3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [5,3,4,2,6,7,8,1] => [1,5,3,4,2,6,7,8] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [5,3,4,2,7,6,1,8] => [8,5,3,4,2,7,6,1] => [3,4,5,2,7,6,8,1] => [8,5,3,4,2,7,6,1]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [5,3,4,2,8,6,7,1] => [1,5,3,4,2,7,8,6] => [1,3,4,5,2,8,7,6] => [1,5,3,4,2,7,8,6]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [8,3,4,2,5,6,7,1] => [1,5,3,4,6,7,8,2] => [1,3,4,8,7,6,5,2] => [1,5,3,4,6,7,8,2]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [7,3,4,2,6,5,1,8] => [8,5,3,4,7,6,2,1] => [3,4,6,7,5,2,8,1] => [8,5,3,4,7,6,2,1]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [7,3,4,2,6,5,8,1] => [1,5,3,4,7,6,2,8] => [1,3,4,6,7,5,2,8] => [1,5,3,4,7,6,2,8]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [8,3,4,2,6,7,5,1] => [1,5,3,4,8,6,7,2] => [1,3,4,6,7,8,5,2] => [1,5,3,4,8,6,7,2]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [6,3,4,5,2,1,8,7] => [7,6,3,4,5,2,1,8] => [3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [6,3,4,5,2,7,1,8] => [8,6,3,4,5,2,7,1] => [3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [6,3,4,5,2,7,8,1] => [1,6,3,4,5,2,7,8] => [1,3,4,5,6,2,7,8] => [1,6,3,4,5,2,7,8]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [8,3,4,5,2,7,6,1] => [1,6,3,4,5,8,7,2] => [1,3,4,5,7,8,6,2] => [1,6,3,4,5,8,7,2]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [7,3,4,5,6,2,1,8] => [8,7,3,4,5,6,2,1] => [3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [7,3,4,5,6,2,8,1] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [8,3,4,5,6,2,7,1] => [1,7,3,4,5,6,8,2] => [1,3,4,5,6,8,7,2] => [1,7,3,4,5,6,8,2]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,3,4,5,6,7,2,1] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [7,3,4,6,5,2,1,8] => [8,7,3,4,6,5,2,1] => [3,4,6,5,7,2,8,1] => [8,7,3,4,6,5,2,1]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [8,3,4,7,5,6,2,1] => [1,8,3,4,6,7,5,2] => [1,3,4,7,6,5,8,2] => [1,8,3,4,6,7,5,2]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [8,3,4,7,6,5,2,1] => [1,8,3,4,7,6,5,2] => [1,3,4,6,7,5,8,2] => [1,8,3,4,7,6,5,2]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [6,3,5,4,2,1,7,8] => [7,6,3,5,4,2,8,1] => [3,5,4,6,2,8,7,1] => [7,6,3,5,4,2,8,1]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [6,3,5,4,2,1,8,7] => [7,6,3,5,4,2,1,8] => [3,5,4,6,2,7,1,8] => [7,6,3,5,4,2,1,8]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [6,3,5,4,2,7,1,8] => [8,6,3,5,4,2,7,1] => [3,5,4,6,2,7,8,1] => [8,6,3,5,4,2,7,1]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [6,3,5,4,2,7,8,1] => [1,6,3,5,4,2,7,8] => [1,3,5,4,6,2,7,8] => [1,6,3,5,4,2,7,8]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [7,3,5,4,2,6,1,8] => [8,6,3,5,4,7,2,1] => [3,5,4,7,6,2,8,1] => [8,6,3,5,4,7,2,1]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [8,3,5,4,2,7,6,1] => [1,6,3,5,4,8,7,2] => [1,3,5,4,7,8,6,2] => [1,6,3,5,4,8,7,2]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [7,3,5,4,6,2,1,8] => [8,7,3,5,4,6,2,1] => [3,5,4,6,7,2,8,1] => [8,7,3,5,4,6,2,1]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [7,3,5,4,6,2,8,1] => [1,7,3,5,4,6,2,8] => [1,3,5,4,6,7,2,8] => [1,7,3,5,4,6,2,8]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [8,3,5,4,6,7,2,1] => [1,8,3,5,4,6,7,2] => [1,3,5,4,6,7,8,2] => [1,8,3,5,4,6,7,2]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [8,3,5,4,7,6,2,1] => [1,8,3,5,4,7,6,2] => [1,3,5,4,7,6,8,2] => [1,8,3,5,4,7,6,2]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [7,3,6,4,5,2,1,8] => [8,7,3,5,6,4,2,1] => [3,6,5,4,7,2,8,1] => [8,7,3,5,6,4,2,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => [8,7,3,6,5,4,2,1] => [3,5,6,4,7,2,8,1] => [8,7,3,6,5,4,2,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [7,3,6,5,4,2,8,1] => [1,7,3,6,5,4,2,8] => [1,3,5,6,4,7,2,8] => [1,7,3,6,5,4,2,8]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [8,3,6,5,4,7,2,1] => [1,8,3,6,5,4,7,2] => [1,3,5,6,4,7,8,2] => [1,8,3,6,5,4,7,2]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [8,3,7,5,6,4,2,1] => [1,8,3,7,5,6,4,2] => [1,3,5,6,7,4,8,2] => [1,8,3,7,5,6,4,2]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [8,3,7,6,5,4,2,1] => [1,8,3,7,6,5,4,2] => [1,3,6,5,7,4,8,2] => [1,8,3,7,6,5,4,2]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => [6,5,4,3,2,7,8,1] => [4,3,5,2,8,7,6,1] => [6,5,4,3,2,7,8,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,4,3,2,1,6,8,7] => [6,5,4,3,2,7,1,8] => [4,3,5,2,7,6,1,8] => [6,5,4,3,2,7,1,8]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,4,3,2,1,7,8,6] => [6,5,4,3,2,1,7,8] => [4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => [6,5,4,3,2,1,8,7] => [4,3,5,2,6,1,8,7] => [6,5,4,3,2,1,8,7]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [5,4,3,2,6,7,1,8] => [8,5,4,3,2,6,7,1] => [4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [5,4,3,2,6,7,8,1] => [1,5,4,3,2,6,7,8] => [1,4,3,5,2,6,7,8] => [1,5,4,3,2,6,7,8]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => [8,5,4,3,2,7,6,1] => [4,3,5,2,7,6,8,1] => [8,5,4,3,2,7,6,1]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [5,4,3,2,7,6,8,1] => [1,5,4,3,2,7,6,8] => [1,4,3,5,2,7,6,8] => [1,5,4,3,2,7,6,8]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [5,4,3,2,8,6,7,1] => [1,5,4,3,2,7,8,6] => [1,4,3,5,2,8,7,6] => [1,5,4,3,2,7,8,6]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [5,4,3,2,8,7,6,1] => [1,5,4,3,2,8,7,6] => [1,4,3,5,2,7,8,6] => [1,5,4,3,2,8,7,6]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [6,4,3,2,5,1,7,8] => [7,5,4,3,6,2,8,1] => [4,3,6,5,2,8,7,1] => [7,5,4,3,6,2,8,1]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [7,4,3,2,5,6,1,8] => [8,5,4,3,6,7,2,1] => [4,3,7,6,5,2,8,1] => [8,5,4,3,6,7,2,1]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [8,4,3,2,5,6,7,1] => [1,5,4,3,6,7,8,2] => [1,4,3,8,7,6,5,2] => [1,5,4,3,6,7,8,2]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [8,4,3,2,5,7,6,1] => [1,5,4,3,6,8,7,2] => [1,4,3,7,8,6,5,2] => [1,5,4,3,6,8,7,2]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [7,4,3,2,6,5,1,8] => [8,5,4,3,7,6,2,1] => [4,3,6,7,5,2,8,1] => [8,5,4,3,7,6,2,1]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [8,4,3,2,7,6,5,1] => [1,5,4,3,8,7,6,2] => [1,4,3,7,6,8,5,2] => [1,5,4,3,8,7,6,2]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [6,4,3,5,2,7,1,8] => [8,6,4,3,5,2,7,1] => [4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [6,4,3,5,2,7,8,1] => [1,6,4,3,5,2,7,8] => [1,4,3,5,6,2,7,8] => [1,6,4,3,5,2,7,8]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [8,4,3,5,2,7,6,1] => [1,6,4,3,5,8,7,2] => [1,4,3,5,7,8,6,2] => [1,6,4,3,5,8,7,2]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [8,4,3,5,6,7,2,1] => [1,8,4,3,5,6,7,2] => [1,4,3,5,6,7,8,2] => [1,8,4,3,5,6,7,2]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => [8,7,4,3,6,5,2,1] => [4,3,6,5,7,2,8,1] => [8,7,4,3,6,5,2,1]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [8,4,3,6,5,2,7,1] => [1,7,4,3,6,5,8,2] => [1,4,3,6,5,8,7,2] => [1,7,4,3,6,5,8,2]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [8,4,3,6,5,7,2,1] => [1,8,4,3,6,5,7,2] => [1,4,3,6,5,7,8,2] => [1,8,4,3,6,5,7,2]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,5,3,4,2,1,7,8] => [7,6,4,5,3,2,8,1] => [5,4,3,6,2,8,7,1] => [7,6,4,5,3,2,8,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,5,3,4,2,1,8,7] => [7,6,4,5,3,2,1,8] => [5,4,3,6,2,7,1,8] => [7,6,4,5,3,2,1,8]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [6,5,3,4,2,7,8,1] => [1,6,4,5,3,2,7,8] => [1,5,4,3,6,2,7,8] => [1,6,4,5,3,2,7,8]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [7,5,3,4,2,6,1,8] => [8,6,4,5,3,7,2,1] => [5,4,3,7,6,2,8,1] => [8,6,4,5,3,7,2,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [8,5,3,4,6,2,7,1] => [1,7,4,5,3,6,8,2] => [1,5,4,3,6,8,7,2] => [1,7,4,5,3,6,8,2]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [8,5,3,4,6,7,2,1] => [1,8,4,5,3,6,7,2] => [1,5,4,3,6,7,8,2] => [1,8,4,5,3,6,7,2]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => [8,7,4,5,6,3,2,1] => [6,5,4,3,7,2,8,1] => [8,7,4,5,6,3,2,1]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [8,6,3,4,5,2,7,1] => [1,7,4,5,6,3,8,2] => [1,6,5,4,3,8,7,2] => [1,7,4,5,6,3,8,2]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [8,6,3,4,5,7,2,1] => [1,8,4,5,6,3,7,2] => [1,6,5,4,3,7,8,2] => [1,8,4,5,6,3,7,2]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [8,7,3,4,5,6,2,1] => [1,8,4,5,6,7,3,2] => [1,7,6,5,4,3,8,2] => [1,8,4,5,6,7,3,2]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [8,7,3,6,5,4,2,1] => [1,8,4,7,6,5,3,2] => [1,6,5,7,4,3,8,2] => [1,8,4,7,6,5,3,2]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => [7,6,5,4,3,2,8,1] => [4,5,3,6,2,8,7,1] => [7,6,5,4,3,2,8,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,1,8] => [4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [6,5,4,3,2,7,8,1] => [1,6,5,4,3,2,7,8] => [1,4,5,3,6,2,7,8] => [1,6,5,4,3,2,7,8]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,5,4,3,2,6,1,8] => [8,6,5,4,3,7,2,1] => [4,5,3,7,6,2,8,1] => [8,6,5,4,3,7,2,1]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [8,5,4,3,2,6,7,1] => [1,6,5,4,3,7,8,2] => [1,4,5,3,8,7,6,2] => [1,6,5,4,3,7,8,2]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => [1,6,5,4,3,8,7,2] => [1,4,5,3,7,8,6,2] => [1,6,5,4,3,8,7,2]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [7,5,4,3,6,2,8,1] => [1,7,5,4,3,6,2,8] => [1,4,5,3,6,7,2,8] => [1,7,5,4,3,6,2,8]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [8,5,4,3,6,2,7,1] => [1,7,5,4,3,6,8,2] => [1,4,5,3,6,8,7,2] => [1,7,5,4,3,6,8,2]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [8,5,4,3,6,7,2,1] => [1,8,5,4,3,6,7,2] => [1,4,5,3,6,7,8,2] => [1,8,5,4,3,6,7,2]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => [8,7,5,4,6,3,2,1] => [4,6,5,3,7,2,8,1] => [8,7,5,4,6,3,2,1]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => [1,8,5,4,7,6,3,2] => [1,4,6,7,5,3,8,2] => [1,8,5,4,7,6,3,2]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [7,6,4,5,3,2,8,1] => [1,7,6,4,5,3,2,8] => [1,4,5,6,3,7,2,8] => [1,7,6,4,5,3,2,8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => [8,7,6,5,4,3,2,1] => [5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => [1,7,6,5,4,3,2,8] => [1,5,4,6,3,7,2,8] => [1,7,6,5,4,3,2,8]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [8,6,5,4,3,7,2,1] => [1,8,6,5,4,3,7,2] => [1,5,4,6,3,7,8,2] => [1,8,6,5,4,3,7,2]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [8,7,5,4,6,3,2,1] => [1,8,7,5,4,6,3,2] => [1,5,4,6,7,3,8,2] => [1,8,7,5,4,6,3,2]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => [1,8,7,6,5,4,3,2] => [1,5,6,4,7,3,8,2] => [1,8,7,6,5,4,3,2]
[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] => [9,8,7,6,5,4,3,2,1] => [5,6,4,7,3,8,2,9,1] => [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] => [10,9,8,7,6,5,4,3,2,1] => [6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1]
[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] => [8,7,6,5,4,3,2,1,9] => [5,4,6,3,7,2,8,1,9] => [8,7,6,5,4,3,2,1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [8,7,6,5,4,3,2,1,10,9] => [9,8,7,6,5,4,3,2,1,10] => [5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10]
[] => [] => [] => [] => []
[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] => [1,2,3,4,5,6,7,8,9] => [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] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8]
[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] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9]
[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] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7]
[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] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7]
[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] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9]
[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] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,7,8,9,6]
[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] => [1,2,3,4,5,7,9,8,6] => [1,2,3,4,5,8,9,7,6] => [1,2,3,4,5,7,9,8,6]
[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] => [1,2,3,4,5,9,7,8,6] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,7,8,6]
[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] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,9,8,7,6]
[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] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,8,7,6,5] => [1,2,3,4,6,7,8,9,5]
[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] => [1,2,3,4,9,6,7,8,5] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5]
[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] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,4]
[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] => [1,2,3,9,5,6,7,8,4] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4]
[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] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,9,3,4,5,6,7,8,1] => [1,2,4,5,6,7,8,9,3] => [1,2,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,3]
[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] => [1,2,9,4,5,6,7,8,3] => [1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3]
[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] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,5,4,7,6,9,8,1] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,9,1] => [1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [7,2,3,4,5,6,9,8,1] => [1,3,4,5,6,7,2,9,8] => [1,7,6,5,4,3,2,9,8] => [1,3,4,5,6,7,2,9,8]
[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] => [1,3,4,5,6,7,8,2,9] => [1,8,7,6,5,4,3,2,9] => [1,3,4,5,6,7,8,2,9]
[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] => [1,3,4,5,6,7,8,9,2] => [1,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,2]
[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] => [1,3,4,5,6,7,9,8,2] => [1,8,9,7,6,5,4,3,2] => [1,3,4,5,6,7,9,8,2]
[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] => [1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,3,2,4,5,6,7,8,1] => [1,4,3,5,6,7,8,9,2] => [1,3,9,8,7,6,5,4,2] => [1,4,3,5,6,7,8,9,2]
[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] => [1,9,3,4,5,6,7,8,2] => [1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2]
[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] => [1,9,4,3,5,6,7,8,2] => [1,4,3,5,6,7,8,9,2] => [1,9,4,3,5,6,7,8,2]
[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] => [1,9,8,7,6,5,4,3,2] => [1,6,5,7,4,8,3,9,2] => [1,9,8,7,6,5,4,3,2]
[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] => [9,8,7,6,5,4,3,2,1] => [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] => [2,3,4,5,6,7,8,1,9] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9]
[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] => [2,3,4,5,6,7,1,8,9] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9]
[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] => [2,3,4,5,6,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9]
[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] => [2,3,4,5,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9]
[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] => [2,3,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9]
[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] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,9,2] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,1] => [10,9,8,7,6,5,4,3,2,1] => [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] => [2,3,4,5,6,7,8,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10]
[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] => [2,3,4,5,6,7,1,9,8] => [7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,1,9,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,6,7,9,10,8] => [2,3,4,5,6,7,8,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10]
[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] => [2,3,4,5,6,1,8,7,9] => [6,5,4,3,2,1,8,7,9] => [2,3,4,5,6,1,8,7,9]
[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] => [2,3,4,5,6,7,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10]
[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] => [2,3,4,5,1,7,6,8,9] => [5,4,3,2,1,7,6,8,9] => [2,3,4,5,1,7,6,8,9]
[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] => [2,3,4,5,6,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10]
[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] => [2,3,4,1,6,5,7,8,9] => [4,3,2,1,6,5,7,8,9] => [2,3,4,1,6,5,7,8,9]
[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] => [2,3,4,5,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10]
[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] => [2,3,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => [2,3,1,5,4,6,7,8,9]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,9,10,4] => [2,3,4,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10]
[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] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,9,10,3] => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,9,10,2] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9,10,11] => [2,3,4,5,6,7,8,9,10,11,1] => [11,10,9,8,7,6,5,4,3,2,1] => [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] => [2,3,4,5,6,7,8,9,10,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,1,11]
[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] => [2,3,4,5,6,7,8,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => [2,3,4,5,6,7,8,1,10,9]
[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] => [2,3,4,5,6,1,8,9,7] => [6,5,4,3,2,1,9,8,7] => [2,3,4,5,6,1,8,9,7]
[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] => [2,3,4,5,6,1,9,8,7] => [6,5,4,3,2,1,8,9,7] => [2,3,4,5,6,1,9,8,7]
[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] => [2,1,4,3,5,6,7,8,9,10] => [2,1,4,3,5,6,7,8,9,10] => [2,1,4,3,5,6,7,8,9,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,1] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,9,10,11,2] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,11,1] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,6,7,8,11,10,9] => [2,3,4,5,6,7,8,9,1,11,10] => [9,8,7,6,5,4,3,2,1,11,10] => [2,3,4,5,6,7,8,9,1,11,10]
[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] => [2,3,4,5,6,7,1,9,10,8] => [7,6,5,4,3,2,1,10,9,8] => [2,3,4,5,6,7,1,9,10,8]
[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] => [2,3,4,5,1,7,8,9,6] => [5,4,3,2,1,9,8,7,6] => [2,3,4,5,1,7,8,9,6]
[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] => [2,3,4,5,6,1,8,9,10,7] => [6,5,4,3,2,1,10,9,8,7] => [2,3,4,5,6,1,8,9,10,7]
[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] => [2,3,4,1,6,7,8,9,5] => [4,3,2,1,9,8,7,6,5] => [2,3,4,1,6,7,8,9,5]
[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] => [2,3,4,5,1,7,8,9,10,6] => [5,4,3,2,1,10,9,8,7,6] => [2,3,4,5,1,7,8,9,10,6]
[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] => [2,3,1,5,6,7,8,9,4] => [3,2,1,9,8,7,6,5,4] => [2,3,1,5,6,7,8,9,4]
[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] => [2,1,4,5,6,7,8,3,9] => [2,1,8,7,6,5,4,3,9] => [2,1,4,5,6,7,8,3,9]
[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] => [2,3,4,1,6,7,8,9,10,5] => [4,3,2,1,10,9,8,7,6,5] => [2,3,4,1,6,7,8,9,10,5]
[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] => [2,1,4,5,6,7,8,9,3] => [2,1,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,3]
[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] => [2,1,9,4,5,6,7,8,3] => [2,1,4,5,6,7,8,9,3] => [2,1,9,4,5,6,7,8,3]
[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] => [2,3,1,5,6,7,8,9,10,4] => [3,2,1,10,9,8,7,6,5,4] => [2,3,1,5,6,7,8,9,10,4]
[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] => [2,1,4,5,6,7,8,9,10,3] => [2,1,10,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,10,3]
[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] => [1,3,4,5,6,7,8,9,2,10] => [1,9,8,7,6,5,4,3,2,10] => [1,3,4,5,6,7,8,9,2,10]
[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] => [2,3,4,5,6,7,9,8,1] => [8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,8,1]
[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] => [2,3,4,5,6,8,7,9,1] => [7,9,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,9,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,4,5,7,6,9,8] => [2,3,4,5,6,8,7,1,9] => [7,8,6,5,4,3,2,1,9] => [2,3,4,5,6,8,7,1,9]
[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] => [2,3,4,5,7,6,8,9,1] => [6,9,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,9,1]
[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] => [2,3,4,6,5,7,8,9,1] => [5,9,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,9,1]
[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] => [2,4,3,5,6,7,8,9,1] => [3,9,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,9,1]
[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] => [3,2,4,5,6,7,8,9,1] => [2,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,1]
[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] => [3,2,4,5,6,7,8,1,9] => [2,8,7,6,5,4,3,1,9] => [3,2,4,5,6,7,8,1,9]
[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] => [4,3,2,5,6,7,8,9,1] => [3,2,9,8,7,6,5,4,1] => [4,3,2,5,6,7,8,9,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,6,7,9,8,10] => [2,3,4,5,6,7,8,10,9,1] => [9,10,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,10,9,1]
[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] => [2,3,4,5,6,7,9,8,1,10] => [8,9,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,9,8,1,10]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,3,4,6,5,7,8,9,10] => [2,3,4,5,7,6,8,9,10,1] => [6,10,9,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,9,10,1]
[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] => [2,3,4,6,5,7,8,9,10,1] => [5,10,9,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,9,10,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => [3,2,4,5,6,7,8,9,10,1] => [2,10,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,10,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => [4,3,2,5,6,7,8,9,10,1] => [3,2,10,9,8,7,6,5,4,1] => [4,3,2,5,6,7,8,9,10,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [10,9,8,7,6,5,4,3,2,1] => [1,10,9,8,7,6,5,4,3,2] => [1,6,7,5,8,4,9,3,10,2] => [1,10,9,8,7,6,5,4,3,2]
[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] => [4,2,3,5,6,7,8,9,1] => [2,3,9,8,7,6,5,4,1] => [4,2,3,5,6,7,8,9,1]
[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] => [8,2,3,4,5,6,7,9,1] => [2,3,4,5,6,7,9,8,1] => [8,2,3,4,5,6,7,9,1]
[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] => [9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1]
[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] => [9,2,3,4,5,6,7,8,10,1] => [2,3,4,5,6,7,8,10,9,1] => [9,2,3,4,5,6,7,8,10,1]
[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] => [10,2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1]
[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] => [3,2,4,5,6,7,8,9,10,11,1] => [2,11,10,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,10,11,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,7,8,10,9,1] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [8,2,3,4,5,6,7,1,9] => [9,3,4,5,6,7,8,2,1] => [8,7,6,5,4,3,2,9,1] => [9,3,4,5,6,7,8,2,1]
[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] => [3,2,1,5,6,7,8,9,4] => [2,3,1,9,8,7,6,5,4] => [3,2,1,5,6,7,8,9,4]
[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] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,10,3]
[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] => [2,3,4,5,6,10,7,8,9,1] => [7,8,9,10,6,5,4,3,2,1] => [2,3,4,5,6,10,7,8,9,1]
[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] => [9,3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1]
[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] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,7,1,9,8] => [8,2,3,4,5,6,7,1,9] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9]
[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] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,5,6,1,9,8,7] => [7,2,3,4,5,6,1,9,8] => [2,3,4,5,6,7,1,9,8] => [7,2,3,4,5,6,1,9,8]
[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] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,4,5,6,10,8,9,7,1] => [1,2,3,4,5,6,10,8,9,7] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,8,9,7]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,4,5,10,7,8,9,6,1] => [1,2,3,4,5,10,7,8,9,6] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,7,8,9,6]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,4,10,6,7,8,9,5,1] => [1,2,3,4,10,6,7,8,9,5] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,6,7,8,9,5]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,3,10,5,6,7,8,9,4,1] => [1,2,3,10,5,6,7,8,9,4] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,5,6,7,8,9,4]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,10,4,5,6,7,8,9,3,1] => [1,2,10,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,4,5,6,7,8,9,3]
[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] => [1,10,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2]
[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] => [7,6,5,4,3,2,1,8,9] => [4,5,3,6,2,7,1,8,9] => [7,6,5,4,3,2,1,8,9]
[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] => [2,3,4,5,9,6,7,8,1] => [6,7,8,9,5,4,3,2,1] => [2,3,4,5,9,6,7,8,1]
[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] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,9,8,7,6] => [1,2,3,4,5,7,8,9,10,6]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,3,4,5,7,6,8,9,10,1] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,5,6,1,8,7,9] => [7,2,3,4,5,6,9,8,1] => [2,3,4,5,6,8,9,7,1] => [7,2,3,4,5,6,9,8,1]
[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] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,5,6,10,7,8,9,1] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,8,9,10,7]
[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] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,9,8,7,6,5] => [1,2,3,4,6,7,8,9,10,5]
[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] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,10,4]
[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] => [1,3,4,5,6,7,8,9,10,2] => [1,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,2]
[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] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,5,6,7,8,11,9,10,1] => [1,2,3,4,5,6,7,8,10,11,9] => [1,2,3,4,5,6,7,8,11,10,9] => [1,2,3,4,5,6,7,8,10,11,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [11,2,3,4,5,6,7,8,9,10,1] => [1,3,4,5,6,7,8,9,10,11,2] => [1,11,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,11,2]
[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] => [1,11,10,9,8,7,6,5,4,3,2] => [1,7,6,8,5,9,4,10,3,11,2] => [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] => [10,3,4,5,6,7,8,9,2,1] => [9,8,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,8,9,2,1]
[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] => [4,3,2,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9]
[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] => [10,9,8,7,6,5,4,3,2,1,11] => [6,5,7,4,8,3,9,2,10,1,11] => [10,9,8,7,6,5,4,3,2,1,11]
[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] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,6,7,8,9,4] => [4,2,3,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,6,7,8,10,9,11] => [2,3,4,5,6,7,8,9,11,10,1] => [10,11,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,11,10,1]
[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] => [2,3,4,5,6,9,7,8,1] => [7,8,9,6,5,4,3,2,1] => [2,3,4,5,6,9,7,8,1]
[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] => [2,3,4,5,6,7,10,8,9,1] => [8,9,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,8,9,1]
[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] => [2,8,3,4,5,6,7,1,9] => [3,4,5,6,7,8,2,1,9] => [2,8,3,4,5,6,7,1,9]
[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] => [11,2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1]
[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] => [2,9,3,4,5,6,7,8,1] => [3,4,5,6,7,8,9,2,1] => [2,9,3,4,5,6,7,8,1]
[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] => [3,2,4,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,7,8,1,10,9] => [9,2,3,4,5,6,7,8,1,10] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10]
[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] => [7,2,3,4,5,6,1,8,9] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9]
[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] => [11,3,4,5,6,7,8,9,10,2,1] => [10,9,8,7,6,5,4,3,2,11,1] => [11,3,4,5,6,7,8,9,10,2,1]
[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] => [2,10,3,4,5,6,7,8,9,1] => [3,4,5,6,7,8,9,10,2,1] => [2,10,3,4,5,6,7,8,9,1]
[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] => [5,2,3,4,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,9,8,10,1] => [1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,9,8,1,10] => [10,3,2,5,4,7,6,9,8,1] => [3,2,5,4,7,6,9,8,10,1] => [10,3,2,5,4,7,6,9,8,1]
[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] => [10,3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1]
[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] => [9,3,4,2,5,6,7,8,1] => [4,3,2,5,6,7,8,9,1] => [9,3,4,2,5,6,7,8,1]
[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] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,6,7,8,10,9,2] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,7,8,3,9] => [3,2,9,4,5,6,7,8,1] => [2,4,5,6,7,8,9,3,1] => [3,2,9,4,5,6,7,8,1]
[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] => [1,3,4,5,6,7,8,9,10,11,12,2] => [1,12,11,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,11,12,2]
[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] => [8,2,3,4,5,6,7,10,9,1] => [2,3,4,5,6,7,9,10,8,1] => [8,2,3,4,5,6,7,10,9,1]
[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] => [6,2,3,4,5,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [6,2,3,4,5,1,7,8,9]
Map
to non-crossing permutation
Description
Sends a Dyck path $D$ with valley at positions $\{(i_1,j_1),\ldots,(i_k,j_k)\}$ to the unique non-crossing permutation $\pi$ having descents $\{i_1,\ldots,i_k\}$ and whose inverse has descents $\{j_1,\ldots,j_k\}$.
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
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
Map
Clarke-Steingrimsson-Zeng inverse
Description
The inverse of the Clarke-Steingrimsson-Zeng map, sending excedances to descents.
This is the inverse of the map $\Phi$ in [1, sec.3].
This is the inverse of the map $\Phi$ in [1, sec.3].
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
searching the database
Sorry, this map was not found in the database.