Identifier
Mp00031:
Dyck paths
—to 312-avoiding permutation⟶
Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00238: Permutations —Clarke-Steingrimsson-Zeng⟶ Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00238: Permutations —Clarke-Steingrimsson-Zeng⟶ Permutations
Images
[1,0] => [1] => [] => []
[1,0,1,0] => [1,2] => [1] => [1]
[1,1,0,0] => [2,1] => [1] => [1]
[1,0,1,0,1,0] => [1,2,3] => [1,2] => [1,2]
[1,0,1,1,0,0] => [1,3,2] => [1,2] => [1,2]
[1,1,0,0,1,0] => [2,1,3] => [2,1] => [2,1]
[1,1,0,1,0,0] => [2,3,1] => [2,1] => [2,1]
[1,1,1,0,0,0] => [3,2,1] => [2,1] => [2,1]
[1,0,1,0,1,0,1,0] => [1,2,3,4] => [1,2,3] => [1,2,3]
[1,0,1,0,1,1,0,0] => [1,2,4,3] => [1,2,3] => [1,2,3]
[1,0,1,1,0,0,1,0] => [1,3,2,4] => [1,3,2] => [1,3,2]
[1,0,1,1,0,1,0,0] => [1,3,4,2] => [1,3,2] => [1,3,2]
[1,0,1,1,1,0,0,0] => [1,4,3,2] => [1,3,2] => [1,3,2]
[1,1,0,0,1,0,1,0] => [2,1,3,4] => [2,1,3] => [2,1,3]
[1,1,0,0,1,1,0,0] => [2,1,4,3] => [2,1,3] => [2,1,3]
[1,1,0,1,0,0,1,0] => [2,3,1,4] => [2,3,1] => [3,2,1]
[1,1,0,1,0,1,0,0] => [2,3,4,1] => [2,3,1] => [3,2,1]
[1,1,0,1,1,0,0,0] => [2,4,3,1] => [2,3,1] => [3,2,1]
[1,1,1,0,0,0,1,0] => [3,2,1,4] => [3,2,1] => [2,3,1]
[1,1,1,0,0,1,0,0] => [3,2,4,1] => [3,2,1] => [2,3,1]
[1,1,1,0,1,0,0,0] => [3,4,2,1] => [3,2,1] => [2,3,1]
[1,1,1,1,0,0,0,0] => [4,3,2,1] => [3,2,1] => [2,3,1]
[1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4]
[1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => [1,2,3,4] => [1,2,3,4]
[1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => [1,2,4,3] => [1,2,4,3]
[1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => [1,2,4,3] => [1,2,4,3]
[1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => [1,2,4,3] => [1,2,4,3]
[1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => [1,3,2,4] => [1,3,2,4]
[1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => [1,3,2,4] => [1,3,2,4]
[1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => [1,3,4,2] => [1,4,3,2]
[1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => [1,3,4,2] => [1,4,3,2]
[1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => [1,3,4,2] => [1,4,3,2]
[1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => [1,4,3,2] => [1,3,4,2]
[1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => [1,4,3,2] => [1,3,4,2]
[1,0,1,1,1,0,1,0,0,0] => [1,4,5,3,2] => [1,4,3,2] => [1,3,4,2]
[1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => [1,4,3,2] => [1,3,4,2]
[1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4]
[1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => [2,1,3,4] => [2,1,3,4]
[1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => [2,1,4,3] => [2,1,4,3]
[1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => [2,1,4,3] => [2,1,4,3]
[1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => [2,1,4,3] => [2,1,4,3]
[1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => [2,3,1,4] => [3,2,1,4]
[1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => [2,3,1,4] => [3,2,1,4]
[1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => [2,3,4,1] => [4,2,3,1]
[1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => [2,3,4,1] => [4,2,3,1]
[1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => [2,3,4,1] => [4,2,3,1]
[1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => [2,4,3,1] => [3,2,4,1]
[1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => [2,4,3,1] => [3,2,4,1]
[1,1,0,1,1,0,1,0,0,0] => [2,4,5,3,1] => [2,4,3,1] => [3,2,4,1]
[1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => [2,4,3,1] => [3,2,4,1]
[1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => [3,2,1,4] => [2,3,1,4]
[1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => [3,2,1,4] => [2,3,1,4]
[1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => [3,2,4,1] => [4,3,2,1]
[1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => [3,2,4,1] => [4,3,2,1]
[1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => [3,2,4,1] => [4,3,2,1]
[1,1,1,0,1,0,0,0,1,0] => [3,4,2,1,5] => [3,4,2,1] => [2,4,3,1]
[1,1,1,0,1,0,0,1,0,0] => [3,4,2,5,1] => [3,4,2,1] => [2,4,3,1]
[1,1,1,0,1,0,1,0,0,0] => [3,4,5,2,1] => [3,4,2,1] => [2,4,3,1]
[1,1,1,0,1,1,0,0,0,0] => [3,5,4,2,1] => [3,4,2,1] => [2,4,3,1]
[1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => [4,3,2,1] => [2,3,4,1]
[1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => [4,3,2,1] => [2,3,4,1]
[1,1,1,1,0,0,1,0,0,0] => [4,3,5,2,1] => [4,3,2,1] => [2,3,4,1]
[1,1,1,1,0,1,0,0,0,0] => [4,5,3,2,1] => [4,3,2,1] => [2,3,4,1]
[1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => [4,3,2,1] => [2,3,4,1]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => [1,2,4,3,5] => [1,2,4,3,5]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,5,4,3]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => [1,2,4,5,3] => [1,2,5,4,3]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,5,4,3]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,4,5,3]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,4,5,3]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => [1,2,5,4,3] => [1,2,4,5,3]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => [1,2,5,4,3] => [1,2,4,5,3]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => [1,3,2,4,5] => [1,3,2,4,5]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => [1,3,2,5,4] => [1,3,2,5,4]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => [1,3,2,5,4] => [1,3,2,5,4]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => [1,3,2,5,4] => [1,3,2,5,4]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,4,3,2,5]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => [1,3,4,2,5] => [1,4,3,2,5]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => [1,3,4,5,2] => [1,5,3,4,2]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => [1,3,4,5,2] => [1,5,3,4,2]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => [1,3,4,5,2] => [1,5,3,4,2]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,4,3,5,2]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => [1,3,5,4,2] => [1,4,3,5,2]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => [1,3,5,4,2] => [1,4,3,5,2]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => [1,3,5,4,2] => [1,4,3,5,2]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,3,4,2,5]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => [1,4,3,2,5] => [1,3,4,2,5]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,5,4,3,2]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => [1,4,3,5,2] => [1,5,4,3,2]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,5,4,3,2]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => [1,4,5,3,2] => [1,3,5,4,2]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => [1,4,5,3,2] => [1,3,5,4,2]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => [1,4,5,3,2] => [1,3,5,4,2]
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => [1,4,5,3,2] => [1,3,5,4,2]
>>> Load all 1054 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => [1,5,4,3,2] => [1,3,4,5,2]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => [1,5,4,3,2] => [1,3,4,5,2]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,4,6,3,2] => [1,5,4,3,2] => [1,3,4,5,2]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,4,3,2] => [1,5,4,3,2] => [1,3,4,5,2]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => [1,5,4,3,2] => [1,3,4,5,2]
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => [2,1,3,4,5] => [2,1,3,4,5]
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => [2,1,3,4,5] => [2,1,3,4,5]
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => [2,1,3,5,4] => [2,1,3,5,4]
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => [2,1,3,5,4] => [2,1,3,5,4]
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => [2,1,3,5,4] => [2,1,3,5,4]
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => [2,1,4,3,5] => [2,1,4,3,5]
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => [2,1,4,3,5] => [2,1,4,3,5]
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => [2,1,4,5,3] => [2,1,5,4,3]
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => [2,1,4,5,3] => [2,1,5,4,3]
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => [2,1,4,5,3] => [2,1,5,4,3]
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => [2,1,5,4,3] => [2,1,4,5,3]
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => [2,1,5,4,3] => [2,1,4,5,3]
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,4,3] => [2,1,5,4,3] => [2,1,4,5,3]
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => [2,1,5,4,3] => [2,1,4,5,3]
[1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => [2,3,1,4,5] => [3,2,1,4,5]
[1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => [2,3,1,4,5] => [3,2,1,4,5]
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => [2,3,1,5,4] => [3,2,1,5,4]
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => [2,3,1,5,4] => [3,2,1,5,4]
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => [2,3,1,5,4] => [3,2,1,5,4]
[1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => [2,3,4,1,5] => [4,2,3,1,5]
[1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => [2,3,4,1,5] => [4,2,3,1,5]
[1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => [2,3,4,5,1] => [5,2,3,4,1]
[1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => [2,3,4,5,1] => [5,2,3,4,1]
[1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => [2,3,4,5,1] => [5,2,3,4,1]
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => [2,3,5,4,1] => [4,2,3,5,1]
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => [2,3,5,4,1] => [4,2,3,5,1]
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,6,4,1] => [2,3,5,4,1] => [4,2,3,5,1]
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => [2,3,5,4,1] => [4,2,3,5,1]
[1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => [2,4,3,1,5] => [3,2,4,1,5]
[1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => [2,4,3,1,5] => [3,2,4,1,5]
[1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => [2,4,3,5,1] => [5,2,4,3,1]
[1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => [2,4,3,5,1] => [5,2,4,3,1]
[1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => [2,4,3,5,1] => [5,2,4,3,1]
[1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => [2,4,5,3,1] => [3,2,5,4,1]
[1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,3,6,1] => [2,4,5,3,1] => [3,2,5,4,1]
[1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,6,3,1] => [2,4,5,3,1] => [3,2,5,4,1]
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,5,3,1] => [2,4,5,3,1] => [3,2,5,4,1]
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => [2,5,4,3,1] => [3,2,4,5,1]
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => [2,5,4,3,1] => [3,2,4,5,1]
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,5,4,6,3,1] => [2,5,4,3,1] => [3,2,4,5,1]
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,5,6,4,3,1] => [2,5,4,3,1] => [3,2,4,5,1]
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => [2,5,4,3,1] => [3,2,4,5,1]
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => [3,2,1,4,5] => [2,3,1,4,5]
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => [3,2,1,4,5] => [2,3,1,4,5]
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => [3,2,1,5,4] => [2,3,1,5,4]
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => [3,2,1,5,4] => [2,3,1,5,4]
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => [3,2,1,5,4] => [2,3,1,5,4]
[1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => [3,2,4,1,5] => [4,3,2,1,5]
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => [3,2,4,1,5] => [4,3,2,1,5]
[1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => [3,2,4,5,1] => [5,3,2,4,1]
[1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => [3,2,4,5,1] => [5,3,2,4,1]
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => [3,2,4,5,1] => [5,3,2,4,1]
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => [3,2,5,4,1] => [4,3,2,5,1]
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => [3,2,5,4,1] => [4,3,2,5,1]
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,5,6,4,1] => [3,2,5,4,1] => [4,3,2,5,1]
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => [3,2,5,4,1] => [4,3,2,5,1]
[1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => [3,4,2,1,5] => [2,4,3,1,5]
[1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,2,1,6,5] => [3,4,2,1,5] => [2,4,3,1,5]
[1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => [3,4,2,5,1] => [5,4,3,2,1]
[1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,2,5,6,1] => [3,4,2,5,1] => [5,4,3,2,1]
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,2,6,5,1] => [3,4,2,5,1] => [5,4,3,2,1]
[1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => [3,4,5,2,1] => [2,5,3,4,1]
[1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,2,6,1] => [3,4,5,2,1] => [2,5,3,4,1]
[1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,2,1] => [3,4,5,2,1] => [2,5,3,4,1]
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,6,5,2,1] => [3,4,5,2,1] => [2,5,3,4,1]
[1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,4,2,1,6] => [3,5,4,2,1] => [2,4,3,5,1]
[1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,4,2,6,1] => [3,5,4,2,1] => [2,4,3,5,1]
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,5,4,6,2,1] => [3,5,4,2,1] => [2,4,3,5,1]
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,5,6,4,2,1] => [3,5,4,2,1] => [2,4,3,5,1]
[1,1,1,0,1,1,1,0,0,0,0,0] => [3,6,5,4,2,1] => [3,5,4,2,1] => [2,4,3,5,1]
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => [4,3,2,1,5] => [2,3,4,1,5]
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => [4,3,2,1,5] => [2,3,4,1,5]
[1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => [4,3,2,5,1] => [5,3,4,2,1]
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => [4,3,2,5,1] => [5,3,4,2,1]
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => [4,3,2,5,1] => [5,3,4,2,1]
[1,1,1,1,0,0,1,0,0,0,1,0] => [4,3,5,2,1,6] => [4,3,5,2,1] => [2,5,4,3,1]
[1,1,1,1,0,0,1,0,0,1,0,0] => [4,3,5,2,6,1] => [4,3,5,2,1] => [2,5,4,3,1]
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,5,6,2,1] => [4,3,5,2,1] => [2,5,4,3,1]
[1,1,1,1,0,0,1,1,0,0,0,0] => [4,3,6,5,2,1] => [4,3,5,2,1] => [2,5,4,3,1]
[1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,3,2,1,6] => [4,5,3,2,1] => [2,3,5,4,1]
[1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,3,2,6,1] => [4,5,3,2,1] => [2,3,5,4,1]
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,5,3,6,2,1] => [4,5,3,2,1] => [2,3,5,4,1]
[1,1,1,1,0,1,0,1,0,0,0,0] => [4,5,6,3,2,1] => [4,5,3,2,1] => [2,3,5,4,1]
[1,1,1,1,0,1,1,0,0,0,0,0] => [4,6,5,3,2,1] => [4,5,3,2,1] => [2,3,5,4,1]
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => [5,4,3,2,1] => [2,3,4,5,1]
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => [5,4,3,2,1] => [2,3,4,5,1]
[1,1,1,1,1,0,0,0,1,0,0,0] => [5,4,3,6,2,1] => [5,4,3,2,1] => [2,3,4,5,1]
[1,1,1,1,1,0,0,1,0,0,0,0] => [5,4,6,3,2,1] => [5,4,3,2,1] => [2,3,4,5,1]
[1,1,1,1,1,0,1,0,0,0,0,0] => [5,6,4,3,2,1] => [5,4,3,2,1] => [2,3,4,5,1]
[1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => [5,4,3,2,1] => [2,3,4,5,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,6,7,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,7,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6] => [1,2,3,5,4,6]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,5,6,4,7] => [1,2,3,5,6,4] => [1,2,3,6,5,4]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,5,6,7,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,5,7,6,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4] => [1,2,3,5,6,4]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,5,7,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,6,7,5,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,7,6,5,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6] => [1,2,4,3,5,6]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,4,3,5,7,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,3,6,7,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,7,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,4,5,3,6,7] => [1,2,4,5,3,6] => [1,2,5,4,3,6]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,4,5,3,7,6] => [1,2,4,5,3,6] => [1,2,5,4,3,6]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,3,7] => [1,2,4,5,6,3] => [1,2,6,4,5,3]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,3] => [1,2,4,5,6,3] => [1,2,6,4,5,3]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,4,5,7,6,3] => [1,2,4,5,6,3] => [1,2,6,4,5,3]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,6,5,3,7] => [1,2,4,6,5,3] => [1,2,5,4,6,3]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,4,6,5,7,3] => [1,2,4,6,5,3] => [1,2,5,4,6,3]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,4,6,7,5,3] => [1,2,4,6,5,3] => [1,2,5,4,6,3]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,4,7,6,5,3] => [1,2,4,6,5,3] => [1,2,5,4,6,3]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6] => [1,2,4,5,3,6]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,5,4,3,7,6] => [1,2,5,4,3,6] => [1,2,4,5,3,6]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,5,4,6,3,7] => [1,2,5,4,6,3] => [1,2,6,5,4,3]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5,4,6,7,3] => [1,2,5,4,6,3] => [1,2,6,5,4,3]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5,4,7,6,3] => [1,2,5,4,6,3] => [1,2,6,5,4,3]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,5,6,4,3,7] => [1,2,5,6,4,3] => [1,2,4,6,5,3]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,5,6,4,7,3] => [1,2,5,6,4,3] => [1,2,4,6,5,3]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,5,6,7,4,3] => [1,2,5,6,4,3] => [1,2,4,6,5,3]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,5,7,6,4,3] => [1,2,5,6,4,3] => [1,2,4,6,5,3]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3] => [1,2,4,5,6,3]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,5,4,7,3] => [1,2,6,5,4,3] => [1,2,4,5,6,3]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,6,5,7,4,3] => [1,2,6,5,4,3] => [1,2,4,5,6,3]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => [1,2,6,5,4,3] => [1,2,4,5,6,3]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,6,5,4,3] => [1,2,6,5,4,3] => [1,2,4,5,6,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6] => [1,3,2,4,5,6]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,7,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,2,4,6,7,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,4,7,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,6,4,7] => [1,3,2,5,6,4] => [1,3,2,6,5,4]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,6,7,4] => [1,3,2,5,6,4] => [1,3,2,6,5,4]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,6,4] => [1,3,2,5,6,4] => [1,3,2,6,5,4]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4] => [1,3,2,5,6,4]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,5,7,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,6,7,5,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,7,6,5,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7] => [1,3,4,2,5,6] => [1,4,3,2,5,6]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5,7,6] => [1,3,4,2,5,6] => [1,4,3,2,5,6]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,7] => [1,3,4,2,6,5] => [1,4,3,2,6,5]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,2,6,7,5] => [1,3,4,2,6,5] => [1,4,3,2,6,5]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,2,7,6,5] => [1,3,4,2,6,5] => [1,4,3,2,6,5]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,2,6,7] => [1,3,4,5,2,6] => [1,5,3,4,2,6]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6] => [1,3,4,5,2,6] => [1,5,3,4,2,6]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,2,7] => [1,3,4,5,6,2] => [1,6,3,4,5,2]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,2] => [1,3,4,5,6,2] => [1,6,3,4,5,2]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,7,6,2] => [1,3,4,5,6,2] => [1,6,3,4,5,2]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,6,5,2,7] => [1,3,4,6,5,2] => [1,5,3,4,6,2]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,6,5,7,2] => [1,3,4,6,5,2] => [1,5,3,4,6,2]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,6,7,5,2] => [1,3,4,6,5,2] => [1,5,3,4,6,2]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,7,6,5,2] => [1,3,4,6,5,2] => [1,5,3,4,6,2]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,4,2,6,7] => [1,3,5,4,2,6] => [1,4,3,5,2,6]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,4,2,7,6] => [1,3,5,4,2,6] => [1,4,3,5,2,6]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,4,6,2,7] => [1,3,5,4,6,2] => [1,6,3,5,4,2]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,4,6,7,2] => [1,3,5,4,6,2] => [1,6,3,5,4,2]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,4,7,6,2] => [1,3,5,4,6,2] => [1,6,3,5,4,2]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,5,6,4,2,7] => [1,3,5,6,4,2] => [1,4,3,6,5,2]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,5,6,4,7,2] => [1,3,5,6,4,2] => [1,4,3,6,5,2]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,6,7,4,2] => [1,3,5,6,4,2] => [1,4,3,6,5,2]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => [1,3,5,6,4,2] => [1,4,3,6,5,2]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,6,5,4,2,7] => [1,3,6,5,4,2] => [1,4,3,5,6,2]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6,5,4,7,2] => [1,3,6,5,4,2] => [1,4,3,5,6,2]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,5,7,4,2] => [1,3,6,5,4,2] => [1,4,3,5,6,2]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => [1,3,6,5,4,2] => [1,4,3,5,6,2]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => [1,3,6,5,4,2] => [1,4,3,5,6,2]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6] => [1,3,4,2,5,6]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,4,3,2,5,7,6] => [1,4,3,2,5,6] => [1,3,4,2,5,6]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5] => [1,3,4,2,6,5]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3,2,6,7,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3,2,7,6,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,3,5,2,6,7] => [1,4,3,5,2,6] => [1,5,4,3,2,6]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,3,5,2,7,6] => [1,4,3,5,2,6] => [1,5,4,3,2,6]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,3,5,6,2,7] => [1,4,3,5,6,2] => [1,6,4,3,5,2]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,2] => [1,4,3,5,6,2] => [1,6,4,3,5,2]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,3,5,7,6,2] => [1,4,3,5,6,2] => [1,6,4,3,5,2]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,3,6,5,2,7] => [1,4,3,6,5,2] => [1,5,4,3,6,2]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,3,6,5,7,2] => [1,4,3,6,5,2] => [1,5,4,3,6,2]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,3,6,7,5,2] => [1,4,3,6,5,2] => [1,5,4,3,6,2]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,3,7,6,5,2] => [1,4,3,6,5,2] => [1,5,4,3,6,2]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,4,5,3,2,6,7] => [1,4,5,3,2,6] => [1,3,5,4,2,6]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,4,5,3,2,7,6] => [1,4,5,3,2,6] => [1,3,5,4,2,6]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,4,5,3,6,2,7] => [1,4,5,3,6,2] => [1,6,5,4,3,2]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,4,5,3,6,7,2] => [1,4,5,3,6,2] => [1,6,5,4,3,2]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,4,5,3,7,6,2] => [1,4,5,3,6,2] => [1,6,5,4,3,2]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,3,2,7] => [1,4,5,6,3,2] => [1,3,6,4,5,2]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,4,5,6,3,7,2] => [1,4,5,6,3,2] => [1,3,6,4,5,2]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => [1,4,5,6,3,2] => [1,3,6,4,5,2]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => [1,4,5,6,3,2] => [1,3,6,4,5,2]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,4,6,5,3,2,7] => [1,4,6,5,3,2] => [1,3,5,4,6,2]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,4,6,5,3,7,2] => [1,4,6,5,3,2] => [1,3,5,4,6,2]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,4,6,5,7,3,2] => [1,4,6,5,3,2] => [1,3,5,4,6,2]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,4,6,7,5,3,2] => [1,4,6,5,3,2] => [1,3,5,4,6,2]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,4,7,6,5,3,2] => [1,4,6,5,3,2] => [1,3,5,4,6,2]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6] => [1,3,4,5,2,6]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,4,3,2,7,6] => [1,5,4,3,2,6] => [1,3,4,5,2,6]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,4,3,6,2,7] => [1,5,4,3,6,2] => [1,6,4,5,3,2]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,4,3,6,7,2] => [1,5,4,3,6,2] => [1,6,4,5,3,2]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,4,3,7,6,2] => [1,5,4,3,6,2] => [1,6,4,5,3,2]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,4,6,3,2,7] => [1,5,4,6,3,2] => [1,3,6,5,4,2]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,4,6,3,7,2] => [1,5,4,6,3,2] => [1,3,6,5,4,2]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,4,6,7,3,2] => [1,5,4,6,3,2] => [1,3,6,5,4,2]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,4,7,6,3,2] => [1,5,4,6,3,2] => [1,3,6,5,4,2]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,5,6,4,3,2,7] => [1,5,6,4,3,2] => [1,3,4,6,5,2]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,5,6,4,3,7,2] => [1,5,6,4,3,2] => [1,3,4,6,5,2]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,5,6,4,7,3,2] => [1,5,6,4,3,2] => [1,3,4,6,5,2]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,5,6,7,4,3,2] => [1,5,6,4,3,2] => [1,3,4,6,5,2]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,5,7,6,4,3,2] => [1,5,6,4,3,2] => [1,3,4,6,5,2]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2] => [1,3,4,5,6,2]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => [1,6,5,4,3,2] => [1,3,4,5,6,2]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6,5,4,7,3,2] => [1,6,5,4,3,2] => [1,3,4,5,6,2]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,5,7,4,3,2] => [1,6,5,4,3,2] => [1,3,4,5,6,2]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6,7,5,4,3,2] => [1,6,5,4,3,2] => [1,3,4,5,6,2]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => [1,6,5,4,3,2] => [1,3,4,5,6,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6] => [2,1,3,4,5,6]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,7,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,6,7,5] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,6,5] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6] => [2,1,3,5,4,6]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,3,5,4,7,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,6,4,7] => [2,1,3,5,6,4] => [2,1,3,6,5,4]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,5,6,7,4] => [2,1,3,5,6,4] => [2,1,3,6,5,4]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,3,5,7,6,4] => [2,1,3,5,6,4] => [2,1,3,6,5,4]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4] => [2,1,3,5,6,4]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,6,5,7,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,6,7,5,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,6,5,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6] => [2,1,4,3,5,6]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,3,5,7,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,7,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,7,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,5,3,6,7] => [2,1,4,5,3,6] => [2,1,5,4,3,6]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,4,5,3,7,6] => [2,1,4,5,3,6] => [2,1,5,4,3,6]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,3,7] => [2,1,4,5,6,3] => [2,1,6,4,5,3]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,3] => [2,1,4,5,6,3] => [2,1,6,4,5,3]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,4,5,7,6,3] => [2,1,4,5,6,3] => [2,1,6,4,5,3]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,5,3,7] => [2,1,4,6,5,3] => [2,1,5,4,6,3]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,6,5,7,3] => [2,1,4,6,5,3] => [2,1,5,4,6,3]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,4,6,7,5,3] => [2,1,4,6,5,3] => [2,1,5,4,6,3]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,4,7,6,5,3] => [2,1,4,6,5,3] => [2,1,5,4,6,3]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6] => [2,1,4,5,3,6]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,5,4,3,7,6] => [2,1,5,4,3,6] => [2,1,4,5,3,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,4,6,3,7] => [2,1,5,4,6,3] => [2,1,6,5,4,3]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,4,6,7,3] => [2,1,5,4,6,3] => [2,1,6,5,4,3]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,4,7,6,3] => [2,1,5,4,6,3] => [2,1,6,5,4,3]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,5,6,4,3,7] => [2,1,5,6,4,3] => [2,1,4,6,5,3]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,5,6,4,7,3] => [2,1,5,6,4,3] => [2,1,4,6,5,3]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,5,6,7,4,3] => [2,1,5,6,4,3] => [2,1,4,6,5,3]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,5,7,6,4,3] => [2,1,5,6,4,3] => [2,1,4,6,5,3]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3] => [2,1,4,5,6,3]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,6,5,4,7,3] => [2,1,6,5,4,3] => [2,1,4,5,6,3]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,5,7,4,3] => [2,1,6,5,4,3] => [2,1,4,5,6,3]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,6,7,5,4,3] => [2,1,6,5,4,3] => [2,1,4,5,6,3]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => [2,1,6,5,4,3] => [2,1,4,5,6,3]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6] => [3,2,1,4,5,6]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,7,6] => [2,3,1,4,5,6] => [3,2,1,4,5,6]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,1,4,6,5,7] => [2,3,1,4,6,5] => [3,2,1,4,6,5]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,1,4,6,7,5] => [2,3,1,4,6,5] => [3,2,1,4,6,5]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,1,4,7,6,5] => [2,3,1,4,6,5] => [3,2,1,4,6,5]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,1,5,4,6,7] => [2,3,1,5,4,6] => [3,2,1,5,4,6]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6] => [2,3,1,5,4,6] => [3,2,1,5,4,6]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1,5,6,4,7] => [2,3,1,5,6,4] => [3,2,1,6,5,4]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,1,5,6,7,4] => [2,3,1,5,6,4] => [3,2,1,6,5,4]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,1,5,7,6,4] => [2,3,1,5,6,4] => [3,2,1,6,5,4]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1,6,5,4,7] => [2,3,1,6,5,4] => [3,2,1,5,6,4]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,6,5,7,4] => [2,3,1,6,5,4] => [3,2,1,5,6,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1,6,7,5,4] => [2,3,1,6,5,4] => [3,2,1,5,6,4]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,1,7,6,5,4] => [2,3,1,6,5,4] => [3,2,1,5,6,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6] => [4,2,3,1,5,6]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => [2,3,4,1,5,6] => [4,2,3,1,5,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,7] => [2,3,4,1,6,5] => [4,2,3,1,6,5]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,1,6,7,5] => [2,3,4,1,6,5] => [4,2,3,1,6,5]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,1,7,6,5] => [2,3,4,1,6,5] => [4,2,3,1,6,5]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6] => [5,2,3,4,1,6]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => [2,3,4,5,1,6] => [5,2,3,4,1,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1] => [6,2,3,4,5,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,1] => [2,3,4,5,6,1] => [6,2,3,4,5,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,7,6,1] => [2,3,4,5,6,1] => [6,2,3,4,5,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,6,5,1,7] => [2,3,4,6,5,1] => [5,2,3,4,6,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,6,5,7,1] => [2,3,4,6,5,1] => [5,2,3,4,6,1]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,6,7,5,1] => [2,3,4,6,5,1] => [5,2,3,4,6,1]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,7,6,5,1] => [2,3,4,6,5,1] => [5,2,3,4,6,1]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,5,4,1,6,7] => [2,3,5,4,1,6] => [4,2,3,5,1,6]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,3,5,4,1,7,6] => [2,3,5,4,1,6] => [4,2,3,5,1,6]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,3,5,4,6,1,7] => [2,3,5,4,6,1] => [6,2,3,5,4,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,5,4,6,7,1] => [2,3,5,4,6,1] => [6,2,3,5,4,1]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,4,7,6,1] => [2,3,5,4,6,1] => [6,2,3,5,4,1]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,3,5,6,4,1,7] => [2,3,5,6,4,1] => [4,2,3,6,5,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,5,6,4,7,1] => [2,3,5,6,4,1] => [4,2,3,6,5,1]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,6,7,4,1] => [2,3,5,6,4,1] => [4,2,3,6,5,1]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,6,4,1] => [2,3,5,6,4,1] => [4,2,3,6,5,1]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,6,5,4,1,7] => [2,3,6,5,4,1] => [4,2,3,5,6,1]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,6,5,4,7,1] => [2,3,6,5,4,1] => [4,2,3,5,6,1]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,6,5,7,4,1] => [2,3,6,5,4,1] => [4,2,3,5,6,1]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,6,7,5,4,1] => [2,3,6,5,4,1] => [4,2,3,5,6,1]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,7,6,5,4,1] => [2,3,6,5,4,1] => [4,2,3,5,6,1]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,3,1,5,6,7] => [2,4,3,1,5,6] => [3,2,4,1,5,6]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,4,3,1,5,7,6] => [2,4,3,1,5,6] => [3,2,4,1,5,6]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,3,1,6,5,7] => [2,4,3,1,6,5] => [3,2,4,1,6,5]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,3,1,6,7,5] => [2,4,3,1,6,5] => [3,2,4,1,6,5]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,3,1,7,6,5] => [2,4,3,1,6,5] => [3,2,4,1,6,5]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,3,5,1,6,7] => [2,4,3,5,1,6] => [5,2,4,3,1,6]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,3,5,1,7,6] => [2,4,3,5,1,6] => [5,2,4,3,1,6]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,4,3,5,6,1,7] => [2,4,3,5,6,1] => [6,2,4,3,5,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,4,3,5,6,7,1] => [2,4,3,5,6,1] => [6,2,4,3,5,1]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,4,3,5,7,6,1] => [2,4,3,5,6,1] => [6,2,4,3,5,1]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,3,6,5,1,7] => [2,4,3,6,5,1] => [5,2,4,3,6,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,3,6,5,7,1] => [2,4,3,6,5,1] => [5,2,4,3,6,1]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,4,3,6,7,5,1] => [2,4,3,6,5,1] => [5,2,4,3,6,1]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,3,7,6,5,1] => [2,4,3,6,5,1] => [5,2,4,3,6,1]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,4,5,3,1,6,7] => [2,4,5,3,1,6] => [3,2,5,4,1,6]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,4,5,3,1,7,6] => [2,4,5,3,1,6] => [3,2,5,4,1,6]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,4,5,3,6,1,7] => [2,4,5,3,6,1] => [6,2,5,4,3,1]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,4,5,3,6,7,1] => [2,4,5,3,6,1] => [6,2,5,4,3,1]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,4,5,3,7,6,1] => [2,4,5,3,6,1] => [6,2,5,4,3,1]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,4,5,6,3,1,7] => [2,4,5,6,3,1] => [3,2,6,4,5,1]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,4,5,6,3,7,1] => [2,4,5,6,3,1] => [3,2,6,4,5,1]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,4,5,6,7,3,1] => [2,4,5,6,3,1] => [3,2,6,4,5,1]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,4,5,7,6,3,1] => [2,4,5,6,3,1] => [3,2,6,4,5,1]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,4,6,5,3,1,7] => [2,4,6,5,3,1] => [3,2,5,4,6,1]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,4,6,5,3,7,1] => [2,4,6,5,3,1] => [3,2,5,4,6,1]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,4,6,5,7,3,1] => [2,4,6,5,3,1] => [3,2,5,4,6,1]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,4,6,7,5,3,1] => [2,4,6,5,3,1] => [3,2,5,4,6,1]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,4,7,6,5,3,1] => [2,4,6,5,3,1] => [3,2,5,4,6,1]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,4,3,1,6,7] => [2,5,4,3,1,6] => [3,2,4,5,1,6]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,4,3,1,7,6] => [2,5,4,3,1,6] => [3,2,4,5,1,6]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,5,4,3,6,1,7] => [2,5,4,3,6,1] => [6,2,4,5,3,1]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,5,4,3,6,7,1] => [2,5,4,3,6,1] => [6,2,4,5,3,1]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,5,4,3,7,6,1] => [2,5,4,3,6,1] => [6,2,4,5,3,1]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,5,4,6,3,1,7] => [2,5,4,6,3,1] => [3,2,6,5,4,1]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,5,4,6,3,7,1] => [2,5,4,6,3,1] => [3,2,6,5,4,1]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,5,4,6,7,3,1] => [2,5,4,6,3,1] => [3,2,6,5,4,1]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,5,4,7,6,3,1] => [2,5,4,6,3,1] => [3,2,6,5,4,1]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,5,6,4,3,1,7] => [2,5,6,4,3,1] => [3,2,4,6,5,1]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,5,6,4,3,7,1] => [2,5,6,4,3,1] => [3,2,4,6,5,1]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,5,6,4,7,3,1] => [2,5,6,4,3,1] => [3,2,4,6,5,1]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,5,6,7,4,3,1] => [2,5,6,4,3,1] => [3,2,4,6,5,1]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,5,7,6,4,3,1] => [2,5,6,4,3,1] => [3,2,4,6,5,1]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => [2,6,5,4,3,1] => [3,2,4,5,6,1]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,6,5,4,3,7,1] => [2,6,5,4,3,1] => [3,2,4,5,6,1]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,6,5,4,7,3,1] => [2,6,5,4,3,1] => [3,2,4,5,6,1]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,6,5,7,4,3,1] => [2,6,5,4,3,1] => [3,2,4,5,6,1]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,6,7,5,4,3,1] => [2,6,5,4,3,1] => [3,2,4,5,6,1]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7,6,5,4,3,1] => [2,6,5,4,3,1] => [3,2,4,5,6,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6] => [2,3,1,4,5,6]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,2,1,4,5,7,6] => [3,2,1,4,5,6] => [2,3,1,4,5,6]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5] => [2,3,1,4,6,5]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,2,1,4,6,7,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,2,1,4,7,6,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6] => [2,3,1,5,4,6]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,1,5,4,7,6] => [3,2,1,5,4,6] => [2,3,1,5,4,6]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,5,6,4,7] => [3,2,1,5,6,4] => [2,3,1,6,5,4]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,5,6,7,4] => [3,2,1,5,6,4] => [2,3,1,6,5,4]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,1,5,7,6,4] => [3,2,1,5,6,4] => [2,3,1,6,5,4]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4] => [2,3,1,5,6,4]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,2,1,6,5,7,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,2,1,6,7,5,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,2,1,7,6,5,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6] => [4,3,2,1,5,6]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,2,4,1,5,7,6] => [3,2,4,1,5,6] => [4,3,2,1,5,6]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,2,4,1,6,5,7] => [3,2,4,1,6,5] => [4,3,2,1,6,5]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,2,4,1,6,7,5] => [3,2,4,1,6,5] => [4,3,2,1,6,5]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,2,4,1,7,6,5] => [3,2,4,1,6,5] => [4,3,2,1,6,5]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6] => [5,3,2,4,1,6]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,2,4,5,1,7,6] => [3,2,4,5,1,6] => [5,3,2,4,1,6]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1] => [6,3,2,4,5,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => [3,2,4,5,6,1] => [6,3,2,4,5,1]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,2,4,5,7,6,1] => [3,2,4,5,6,1] => [6,3,2,4,5,1]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,2,4,6,5,1,7] => [3,2,4,6,5,1] => [5,3,2,4,6,1]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,2,4,6,5,7,1] => [3,2,4,6,5,1] => [5,3,2,4,6,1]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,2,4,6,7,5,1] => [3,2,4,6,5,1] => [5,3,2,4,6,1]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,2,4,7,6,5,1] => [3,2,4,6,5,1] => [5,3,2,4,6,1]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,5,4,1,6,7] => [3,2,5,4,1,6] => [4,3,2,5,1,6]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,5,4,1,7,6] => [3,2,5,4,1,6] => [4,3,2,5,1,6]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,5,4,6,1,7] => [3,2,5,4,6,1] => [6,3,2,5,4,1]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,5,4,6,7,1] => [3,2,5,4,6,1] => [6,3,2,5,4,1]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,5,4,7,6,1] => [3,2,5,4,6,1] => [6,3,2,5,4,1]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,5,6,4,1,7] => [3,2,5,6,4,1] => [4,3,2,6,5,1]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,5,6,4,7,1] => [3,2,5,6,4,1] => [4,3,2,6,5,1]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,2,5,6,7,4,1] => [3,2,5,6,4,1] => [4,3,2,6,5,1]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,5,7,6,4,1] => [3,2,5,6,4,1] => [4,3,2,6,5,1]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,2,6,5,4,1,7] => [3,2,6,5,4,1] => [4,3,2,5,6,1]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,2,6,5,4,7,1] => [3,2,6,5,4,1] => [4,3,2,5,6,1]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,2,6,5,7,4,1] => [3,2,6,5,4,1] => [4,3,2,5,6,1]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,2,6,7,5,4,1] => [3,2,6,5,4,1] => [4,3,2,5,6,1]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,2,7,6,5,4,1] => [3,2,6,5,4,1] => [4,3,2,5,6,1]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6] => [2,4,3,1,5,6]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,4,2,1,5,7,6] => [3,4,2,1,5,6] => [2,4,3,1,5,6]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,4,2,1,6,5,7] => [3,4,2,1,6,5] => [2,4,3,1,6,5]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,4,2,1,6,7,5] => [3,4,2,1,6,5] => [2,4,3,1,6,5]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,4,2,1,7,6,5] => [3,4,2,1,6,5] => [2,4,3,1,6,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6] => [5,4,3,2,1,6]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,4,2,5,1,7,6] => [3,4,2,5,1,6] => [5,4,3,2,1,6]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1] => [6,4,3,2,5,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,4,2,5,6,7,1] => [3,4,2,5,6,1] => [6,4,3,2,5,1]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [3,4,2,5,7,6,1] => [3,4,2,5,6,1] => [6,4,3,2,5,1]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,4,2,6,5,1,7] => [3,4,2,6,5,1] => [5,4,3,2,6,1]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [3,4,2,6,5,7,1] => [3,4,2,6,5,1] => [5,4,3,2,6,1]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,4,2,6,7,5,1] => [3,4,2,6,5,1] => [5,4,3,2,6,1]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,4,2,7,6,5,1] => [3,4,2,6,5,1] => [5,4,3,2,6,1]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6] => [2,5,3,4,1,6]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,4,5,2,1,7,6] => [3,4,5,2,1,6] => [2,5,3,4,1,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1] => [6,5,3,4,2,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,4,5,2,6,7,1] => [3,4,5,2,6,1] => [6,5,3,4,2,1]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [3,4,5,2,7,6,1] => [3,4,5,2,6,1] => [6,5,3,4,2,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1] => [2,6,3,4,5,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,4,5,6,2,7,1] => [3,4,5,6,2,1] => [2,6,3,4,5,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,7,2,1] => [3,4,5,6,2,1] => [2,6,3,4,5,1]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,4,5,7,6,2,1] => [3,4,5,6,2,1] => [2,6,3,4,5,1]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,4,6,5,2,1,7] => [3,4,6,5,2,1] => [2,5,3,4,6,1]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [3,4,6,5,2,7,1] => [3,4,6,5,2,1] => [2,5,3,4,6,1]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,4,6,5,7,2,1] => [3,4,6,5,2,1] => [2,5,3,4,6,1]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,4,6,7,5,2,1] => [3,4,6,5,2,1] => [2,5,3,4,6,1]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,4,7,6,5,2,1] => [3,4,6,5,2,1] => [2,5,3,4,6,1]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,5,4,2,1,6,7] => [3,5,4,2,1,6] => [2,4,3,5,1,6]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,5,4,2,1,7,6] => [3,5,4,2,1,6] => [2,4,3,5,1,6]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,5,4,2,6,1,7] => [3,5,4,2,6,1] => [6,4,3,5,2,1]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [3,5,4,2,6,7,1] => [3,5,4,2,6,1] => [6,4,3,5,2,1]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,5,4,2,7,6,1] => [3,5,4,2,6,1] => [6,4,3,5,2,1]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,5,4,6,2,1,7] => [3,5,4,6,2,1] => [2,6,3,5,4,1]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,4,6,2,7,1] => [3,5,4,6,2,1] => [2,6,3,5,4,1]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [3,5,4,6,7,2,1] => [3,5,4,6,2,1] => [2,6,3,5,4,1]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,5,4,7,6,2,1] => [3,5,4,6,2,1] => [2,6,3,5,4,1]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,4,2,1,7] => [3,5,6,4,2,1] => [2,4,3,6,5,1]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,5,6,4,2,7,1] => [3,5,6,4,2,1] => [2,4,3,6,5,1]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [3,5,6,4,7,2,1] => [3,5,6,4,2,1] => [2,4,3,6,5,1]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,5,6,7,4,2,1] => [3,5,6,4,2,1] => [2,4,3,6,5,1]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,5,7,6,4,2,1] => [3,5,6,4,2,1] => [2,4,3,6,5,1]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,5,4,2,1,7] => [3,6,5,4,2,1] => [2,4,3,5,6,1]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,6,5,4,2,7,1] => [3,6,5,4,2,1] => [2,4,3,5,6,1]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,6,5,4,7,2,1] => [3,6,5,4,2,1] => [2,4,3,5,6,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,6,5,7,4,2,1] => [3,6,5,4,2,1] => [2,4,3,5,6,1]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,6,7,5,4,2,1] => [3,6,5,4,2,1] => [2,4,3,5,6,1]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,7,6,5,4,2,1] => [3,6,5,4,2,1] => [2,4,3,5,6,1]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6] => [2,3,4,1,5,6]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,3,2,1,5,7,6] => [4,3,2,1,5,6] => [2,3,4,1,5,6]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5] => [2,3,4,1,6,5]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,3,2,1,6,7,5] => [4,3,2,1,6,5] => [2,3,4,1,6,5]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3,2,1,7,6,5] => [4,3,2,1,6,5] => [2,3,4,1,6,5]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,3,2,5,1,6,7] => [4,3,2,5,1,6] => [5,3,4,2,1,6]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,3,2,5,1,7,6] => [4,3,2,5,1,6] => [5,3,4,2,1,6]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,3,2,5,6,1,7] => [4,3,2,5,6,1] => [6,3,4,2,5,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => [4,3,2,5,6,1] => [6,3,4,2,5,1]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,3,2,5,7,6,1] => [4,3,2,5,6,1] => [6,3,4,2,5,1]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,3,2,6,5,1,7] => [4,3,2,6,5,1] => [5,3,4,2,6,1]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,3,2,6,5,7,1] => [4,3,2,6,5,1] => [5,3,4,2,6,1]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,3,2,6,7,5,1] => [4,3,2,6,5,1] => [5,3,4,2,6,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3,2,7,6,5,1] => [4,3,2,6,5,1] => [5,3,4,2,6,1]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6] => [2,5,4,3,1,6]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,3,5,2,1,7,6] => [4,3,5,2,1,6] => [2,5,4,3,1,6]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1] => [6,5,4,3,2,1]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,3,5,2,6,7,1] => [4,3,5,2,6,1] => [6,5,4,3,2,1]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,3,5,2,7,6,1] => [4,3,5,2,6,1] => [6,5,4,3,2,1]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [4,3,5,6,2,1,7] => [4,3,5,6,2,1] => [2,6,4,3,5,1]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [4,3,5,6,2,7,1] => [4,3,5,6,2,1] => [2,6,4,3,5,1]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,3,5,6,7,2,1] => [4,3,5,6,2,1] => [2,6,4,3,5,1]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,3,5,7,6,2,1] => [4,3,5,6,2,1] => [2,6,4,3,5,1]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,3,6,5,2,1,7] => [4,3,6,5,2,1] => [2,5,4,3,6,1]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [4,3,6,5,2,7,1] => [4,3,6,5,2,1] => [2,5,4,3,6,1]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,3,6,5,7,2,1] => [4,3,6,5,2,1] => [2,5,4,3,6,1]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,3,6,7,5,2,1] => [4,3,6,5,2,1] => [2,5,4,3,6,1]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,3,7,6,5,2,1] => [4,3,6,5,2,1] => [2,5,4,3,6,1]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6] => [2,3,5,4,1,6]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [4,5,3,2,1,7,6] => [4,5,3,2,1,6] => [2,3,5,4,1,6]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1] => [6,3,5,4,2,1]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [4,5,3,2,6,7,1] => [4,5,3,2,6,1] => [6,3,5,4,2,1]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,5,3,2,7,6,1] => [4,5,3,2,6,1] => [6,3,5,4,2,1]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1] => [2,6,5,4,3,1]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,5,3,6,2,7,1] => [4,5,3,6,2,1] => [2,6,5,4,3,1]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,5,3,6,7,2,1] => [4,5,3,6,2,1] => [2,6,5,4,3,1]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,5,3,7,6,2,1] => [4,5,3,6,2,1] => [2,6,5,4,3,1]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1] => [2,3,6,4,5,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [4,5,6,3,2,7,1] => [4,5,6,3,2,1] => [2,3,6,4,5,1]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,5,6,3,7,2,1] => [4,5,6,3,2,1] => [2,3,6,4,5,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,5,6,7,3,2,1] => [4,5,6,3,2,1] => [2,3,6,4,5,1]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,5,7,6,3,2,1] => [4,5,6,3,2,1] => [2,3,6,4,5,1]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,5,3,2,1,7] => [4,6,5,3,2,1] => [2,3,5,4,6,1]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,6,5,3,2,7,1] => [4,6,5,3,2,1] => [2,3,5,4,6,1]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,6,5,3,7,2,1] => [4,6,5,3,2,1] => [2,3,5,4,6,1]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,6,5,7,3,2,1] => [4,6,5,3,2,1] => [2,3,5,4,6,1]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,6,7,5,3,2,1] => [4,6,5,3,2,1] => [2,3,5,4,6,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,7,6,5,3,2,1] => [4,6,5,3,2,1] => [2,3,5,4,6,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6] => [2,3,4,5,1,6]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => [5,4,3,2,1,6] => [2,3,4,5,1,6]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => [5,4,3,2,6,1] => [6,3,4,5,2,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,4,3,2,6,7,1] => [5,4,3,2,6,1] => [6,3,4,5,2,1]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,4,3,2,7,6,1] => [5,4,3,2,6,1] => [6,3,4,5,2,1]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,4,3,6,2,1,7] => [5,4,3,6,2,1] => [2,6,4,5,3,1]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,4,3,6,2,7,1] => [5,4,3,6,2,1] => [2,6,4,5,3,1]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,4,3,6,7,2,1] => [5,4,3,6,2,1] => [2,6,4,5,3,1]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,4,3,7,6,2,1] => [5,4,3,6,2,1] => [2,6,4,5,3,1]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1] => [2,3,6,5,4,1]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,4,6,3,2,7,1] => [5,4,6,3,2,1] => [2,3,6,5,4,1]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,4,6,3,7,2,1] => [5,4,6,3,2,1] => [2,3,6,5,4,1]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,4,6,7,3,2,1] => [5,4,6,3,2,1] => [2,3,6,5,4,1]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [5,4,7,6,3,2,1] => [5,4,6,3,2,1] => [2,3,6,5,4,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,4,3,2,1,7] => [5,6,4,3,2,1] => [2,3,4,6,5,1]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,6,4,3,2,7,1] => [5,6,4,3,2,1] => [2,3,4,6,5,1]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,6,4,3,7,2,1] => [5,6,4,3,2,1] => [2,3,4,6,5,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,6,4,7,3,2,1] => [5,6,4,3,2,1] => [2,3,4,6,5,1]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,6,7,4,3,2,1] => [5,6,4,3,2,1] => [2,3,4,6,5,1]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [5,7,6,4,3,2,1] => [5,6,4,3,2,1] => [2,3,4,6,5,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1] => [2,3,4,5,6,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,5,4,3,2,7,1] => [6,5,4,3,2,1] => [2,3,4,5,6,1]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,5,4,3,7,2,1] => [6,5,4,3,2,1] => [2,3,4,5,6,1]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,5,4,7,3,2,1] => [6,5,4,3,2,1] => [2,3,4,5,6,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [6,5,7,4,3,2,1] => [6,5,4,3,2,1] => [2,3,4,5,6,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,7,5,4,3,2,1] => [6,5,4,3,2,1] => [2,3,4,5,6,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1] => [2,3,4,5,6,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,6,7,8,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,4,7,6,8,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,4,7,8,6,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,4,8,7,6,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,4] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,3,5,6,8,7,4] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,3,5,7,6,8,4] => [1,2,3,5,7,6,4] => [1,2,3,6,5,7,4]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,3,5,7,8,6,4] => [1,2,3,5,7,6,4] => [1,2,3,6,5,7,4]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3,5,8,7,6,4] => [1,2,3,5,7,6,4] => [1,2,3,6,5,7,4]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,3,6,5,7,8,4] => [1,2,3,6,5,7,4] => [1,2,3,7,6,5,4]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,6,5,8,7,4] => [1,2,3,6,5,7,4] => [1,2,3,7,6,5,4]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,3,6,7,5,8,4] => [1,2,3,6,7,5,4] => [1,2,3,5,7,6,4]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,3,6,7,8,5,4] => [1,2,3,6,7,5,4] => [1,2,3,5,7,6,4]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,3,6,8,7,5,4] => [1,2,3,6,7,5,4] => [1,2,3,5,7,6,4]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,3,7,6,5,8,4] => [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,3,7,6,8,5,4] => [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,3,7,8,6,5,4] => [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,3,8,7,6,5,4] => [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,4,3,6,7,8,5] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,6,8,5] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,8,7,6,5] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,3] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,2,4,6,5,3,7,8] => [1,2,4,6,5,3,7] => [1,2,5,4,6,3,7]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,4,6,7,8,5,3] => [1,2,4,6,7,5,3] => [1,2,5,4,7,6,3]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,4,8,7,6,5,3] => [1,2,4,7,6,5,3] => [1,2,5,4,6,7,3]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,2,5,4,6,7,8,3] => [1,2,5,4,6,7,3] => [1,2,7,5,4,6,3]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,2,5,6,4,7,8,3] => [1,2,5,6,4,7,3] => [1,2,7,6,5,4,3]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,5,6,7,8,4,3] => [1,2,5,6,7,4,3] => [1,2,4,7,5,6,3]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,6,5,4,7,8,3] => [1,2,6,5,4,7,3] => [1,2,7,5,6,4,3]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,6,7,8,5,4,3] => [1,2,6,7,5,4,3] => [1,2,4,5,7,6,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,2,4,6,7,8,5] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,2,4,7,6,8,5] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,2,4,8,7,6,5] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,8,7,6,5,4] => [1,3,2,7,6,5,4] => [1,3,2,5,6,7,4]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,3,4,2,6,7,8,5] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,3,4,2,7,6,8,5] => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,3,4,2,8,7,6,5] => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,2] => [1,3,4,5,6,7,2] => [1,7,3,4,5,6,2]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,6,8,7,2] => [1,3,4,5,6,7,2] => [1,7,3,4,5,6,2]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,5,7,6,2,8] => [1,3,4,5,7,6,2] => [1,6,3,4,5,7,2]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,5,7,8,6,2] => [1,3,4,5,7,6,2] => [1,6,3,4,5,7,2]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,3,4,6,7,5,2,8] => [1,3,4,6,7,5,2] => [1,5,3,4,7,6,2]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,4,8,7,6,5,2] => [1,3,4,7,6,5,2] => [1,5,3,4,6,7,2]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,5,6,7,8,4,2] => [1,3,5,6,7,4,2] => [1,4,3,7,5,6,2]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,5,7,8,6,4,2] => [1,3,5,7,6,4,2] => [1,4,3,6,5,7,2]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,3,6,5,7,8,4,2] => [1,3,6,5,7,4,2] => [1,4,3,7,6,5,2]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,4,3,2,6,7,8,5] => [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,4,3,2,7,6,8,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,4,3,2,8,7,6,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,8,2] => [1,4,3,5,6,7,2] => [1,7,4,3,5,6,2]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => [1,4,3,6,5,7,2] => [1,7,4,3,6,5,2]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,3,7,8,6,5,2] => [1,4,3,7,6,5,2] => [1,5,4,3,6,7,2]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => [1,4,3,7,6,5,2] => [1,5,4,3,6,7,2]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,4,5,3,6,7,8,2] => [1,4,5,3,6,7,2] => [1,7,5,4,3,6,2]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,4,7,8,6,5,3,2] => [1,4,7,6,5,3,2] => [1,3,5,4,6,7,2]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,4,8,7,6,5,3,2] => [1,4,7,6,5,3,2] => [1,3,5,4,6,7,2]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,5,4,3,6,7,8,2] => [1,5,4,3,6,7,2] => [1,7,4,5,3,6,2]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,5,6,4,3,2,8,7] => [1,5,6,4,3,2,7] => [1,3,4,6,5,2,7]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,5,6,4,3,8,7,2] => [1,5,6,4,3,7,2] => [1,7,4,6,5,3,2]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,5,6,7,8,4,3,2] => [1,5,6,7,4,3,2] => [1,3,4,7,5,6,2]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,5,8,7,6,4,3,2] => [1,5,7,6,4,3,2] => [1,3,4,6,5,7,2]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => [1,6,5,4,3,7,2] => [1,7,4,5,6,3,2]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,6,7,8,5,4,3,2] => [1,6,7,5,4,3,2] => [1,3,4,5,7,6,2]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,6,8,7,5,4,3,2] => [1,6,7,5,4,3,2] => [1,3,4,5,7,6,2]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7,6,5,8,4,3,2] => [1,7,6,5,4,3,2] => [1,3,4,5,6,7,2]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,6,8,5,4,3,2] => [1,7,6,5,4,3,2] => [1,3,4,5,6,7,2]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,7,8,6,5,4,3,2] => [1,7,6,5,4,3,2] => [1,3,4,5,6,7,2]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => [1,3,4,5,6,7,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,4,6,7,8,5] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,4,7,6,8,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,4,7,8,6,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,8,7,6,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,8,7,6,5,4] => [2,1,3,7,6,5,4] => [2,1,3,5,6,7,4]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,3,6,7,8,5] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,8,7,5] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,6,8,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,6,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,7,6,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,1,4,5,6,3,8,7] => [2,1,4,5,6,3,7] => [2,1,6,4,5,3,7]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,8,3] => [2,1,4,5,6,7,3] => [2,1,7,4,5,6,3]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,4,5,7,8,6,3] => [2,1,4,5,7,6,3] => [2,1,6,4,5,7,3]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,4,5,8,7,6,3] => [2,1,4,5,7,6,3] => [2,1,6,4,5,7,3]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,1,4,6,5,3,8,7] => [2,1,4,6,5,3,7] => [2,1,5,4,6,3,7]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,1,4,6,5,8,7,3] => [2,1,4,6,5,7,3] => [2,1,7,4,6,5,3]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,1,4,8,7,6,5,3] => [2,1,4,7,6,5,3] => [2,1,5,4,6,7,3]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,1,5,4,3,6,8,7] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7] => [2,1,5,4,6,3,7] => [2,1,6,5,4,3,7]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => [2,1,5,4,7,6,3] => [2,1,6,5,4,7,3]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,4,3,8,7] => [2,1,5,6,4,3,7] => [2,1,4,6,5,3,7]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,1,5,6,7,8,4,3] => [2,1,5,6,7,4,3] => [2,1,4,7,5,6,3]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,7] => [2,1,4,5,6,3,7]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,5,7,4,8,3] => [2,1,6,5,7,4,3] => [2,1,4,7,6,5,3]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,5,7,8,4,3] => [2,1,6,5,7,4,3] => [2,1,4,7,6,5,3]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,5,8,7,4,3] => [2,1,6,5,7,4,3] => [2,1,4,7,6,5,3]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,6,7,5,4,3,8] => [2,1,6,7,5,4,3] => [2,1,4,5,7,6,3]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,1,6,7,5,8,4,3] => [2,1,6,7,5,4,3] => [2,1,4,5,7,6,3]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,6,7,8,5,4,3] => [2,1,6,7,5,4,3] => [2,1,4,5,7,6,3]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,7,6,5,8,4,3] => [2,1,7,6,5,4,3] => [2,1,4,5,6,7,3]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => [2,1,7,6,5,4,3] => [2,1,4,5,6,7,3]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,3,1,4,6,7,8,5] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,4,7,6,8,5] => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,8,7,6,5] => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6,8] => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,3,1,5,6,7,4,8] => [2,3,1,5,6,7,4] => [3,2,1,7,5,6,4]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,8,7,6,5,4] => [2,3,1,7,6,5,4] => [3,2,1,5,6,7,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7,8] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5,6,8,7] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,4,1,5,7,6,8] => [2,3,4,1,5,7,6] => [4,2,3,1,5,7,6]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,4,1,5,7,8,6] => [2,3,4,1,5,7,6] => [4,2,3,1,5,7,6]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,8,7,6] => [2,3,4,1,5,7,6] => [4,2,3,1,5,7,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,4,1,6,5,7,8] => [2,3,4,1,6,5,7] => [4,2,3,1,6,5,7]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,8,7] => [2,3,4,1,6,5,7] => [4,2,3,1,6,5,7]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,4,1,6,7,5,8] => [2,3,4,1,6,7,5] => [4,2,3,1,7,6,5]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => [2,3,4,1,6,7,5] => [4,2,3,1,7,6,5]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,4,1,6,8,7,5] => [2,3,4,1,6,7,5] => [4,2,3,1,7,6,5]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,4,1,7,6,5,8] => [2,3,4,1,7,6,5] => [4,2,3,1,6,7,5]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,4,1,7,6,8,5] => [2,3,4,1,7,6,5] => [4,2,3,1,6,7,5]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,4,1,7,8,6,5] => [2,3,4,1,7,6,5] => [4,2,3,1,6,7,5]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,4,1,8,7,6,5] => [2,3,4,1,7,6,5] => [4,2,3,1,6,7,5]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,5,1,8,7,6] => [2,3,4,5,1,7,6] => [5,2,3,4,1,7,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,8,7,1] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,5,7,6,1,8] => [2,3,4,5,7,6,1] => [6,2,3,4,5,7,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,4,6,5,1,7,8] => [2,3,4,6,5,1,7] => [5,2,3,4,6,1,7]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,8,7,6,5,1] => [2,3,4,7,6,5,1] => [5,2,3,4,6,7,1]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,3,5,4,1,8,7,6] => [2,3,5,4,1,7,6] => [4,2,3,5,1,7,6]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,5,4,7,6,8,1] => [2,3,5,4,7,6,1] => [6,2,3,5,4,7,1]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,5,6,7,8,4,1] => [2,3,5,6,7,4,1] => [4,2,3,7,5,6,1]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,3,5,6,8,7,4,1] => [2,3,5,6,7,4,1] => [4,2,3,7,5,6,1]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,6,5,4,1,8,7] => [2,3,6,5,4,1,7] => [4,2,3,5,6,1,7]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,5,8,7] => [2,4,3,1,6,5,7] => [3,2,4,1,6,5,7]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,4,3,1,6,7,8,5] => [2,4,3,1,6,7,5] => [3,2,4,1,7,6,5]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => [2,4,3,1,6,7,5] => [3,2,4,1,7,6,5]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => [2,4,3,1,7,6,5] => [3,2,4,1,6,7,5]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,4,3,1,7,8,6,5] => [2,4,3,1,7,6,5] => [3,2,4,1,6,7,5]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,4,3,1,8,7,6,5] => [2,4,3,1,7,6,5] => [3,2,4,1,6,7,5]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,4,3,5,1,8,7,6] => [2,4,3,5,1,7,6] => [5,2,4,3,1,7,6]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,4,3,5,6,8,7,1] => [2,4,3,5,6,7,1] => [7,2,4,3,5,6,1]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,4,3,6,5,1,8,7] => [2,4,3,6,5,1,7] => [5,2,4,3,6,1,7]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,4,3,6,5,7,8,1] => [2,4,3,6,5,7,1] => [7,2,4,3,6,5,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,8,7,1] => [2,4,3,6,5,7,1] => [7,2,4,3,6,5,1]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,4,3,8,7,6,5,1] => [2,4,3,7,6,5,1] => [5,2,4,3,6,7,1]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,4,5,3,1,8,7,6] => [2,4,5,3,1,7,6] => [3,2,5,4,1,7,6]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,4,5,3,7,8,6,1] => [2,4,5,3,7,6,1] => [6,2,5,4,3,7,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,4,6,8,7,5,3,1] => [2,4,6,7,5,3,1] => [3,2,5,4,7,6,1]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,4,8,7,6,5,3,1] => [2,4,7,6,5,3,1] => [3,2,5,4,6,7,1]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,5,4,3,1,8,7,6] => [2,5,4,3,1,7,6] => [3,2,4,5,1,7,6]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,5,4,3,6,7,8,1] => [2,5,4,3,6,7,1] => [7,2,4,5,3,6,1]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,5,4,3,6,8,7,1] => [2,5,4,3,6,7,1] => [7,2,4,5,3,6,1]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,5,4,3,7,6,8,1] => [2,5,4,3,7,6,1] => [6,2,4,5,3,7,1]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,5,4,3,7,8,6,1] => [2,5,4,3,7,6,1] => [6,2,4,5,3,7,1]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,5,4,3,8,7,6,1] => [2,5,4,3,7,6,1] => [6,2,4,5,3,7,1]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,5,4,6,7,3,8,1] => [2,5,4,6,7,3,1] => [3,2,7,5,4,6,1]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,4,7,6,3,8,1] => [2,5,4,7,6,3,1] => [3,2,6,5,4,7,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,5,6,7,8,4,3,1] => [2,5,6,7,4,3,1] => [3,2,4,7,5,6,1]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,6,8,7,5,4,3,1] => [2,6,7,5,4,3,1] => [3,2,4,5,7,6,1]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,7,6,5,4,8,3,1] => [2,7,6,5,4,3,1] => [3,2,4,5,6,7,1]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,7,8,6,5,4,3,1] => [2,7,6,5,4,3,1] => [3,2,4,5,6,7,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,2,1,4,6,7,8,5] => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [3,2,1,4,7,6,5,8] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [3,2,1,4,7,6,8,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,2,1,4,7,8,6,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,2,1,4,8,7,6,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,1,5,4,7,6,8] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,2,1,5,6,7,8,4] => [3,2,1,5,6,7,4] => [2,3,1,7,5,6,4]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,2,1,5,6,8,7,4] => [3,2,1,5,6,7,4] => [2,3,1,7,5,6,4]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [3,2,1,5,7,6,8,4] => [3,2,1,5,7,6,4] => [2,3,1,6,5,7,4]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,2,1,5,7,8,6,4] => [3,2,1,5,7,6,4] => [2,3,1,6,5,7,4]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,2,1,5,8,7,6,4] => [3,2,1,5,7,6,4] => [2,3,1,6,5,7,4]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [3,2,1,6,5,7,8,4] => [3,2,1,6,5,7,4] => [2,3,1,7,6,5,4]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => [3,2,1,6,5,7,4] => [2,3,1,7,6,5,4]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,2,1,6,7,5,8,4] => [3,2,1,6,7,5,4] => [2,3,1,5,7,6,4]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,6,7,8,5,4] => [3,2,1,6,7,5,4] => [2,3,1,5,7,6,4]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,2,1,6,8,7,5,4] => [3,2,1,6,7,5,4] => [2,3,1,5,7,6,4]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,2,1,7,6,5,8,4] => [3,2,1,7,6,5,4] => [2,3,1,5,6,7,4]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,2,1,7,6,8,5,4] => [3,2,1,7,6,5,4] => [2,3,1,5,6,7,4]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,2,1,7,8,6,5,4] => [3,2,1,7,6,5,4] => [2,3,1,5,6,7,4]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => [3,2,1,7,6,5,4] => [2,3,1,5,6,7,4]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7,8] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [3,2,4,1,5,6,8,7] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [3,2,4,1,5,7,6,8] => [3,2,4,1,5,7,6] => [4,3,2,1,5,7,6]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [3,2,4,1,5,7,8,6] => [3,2,4,1,5,7,6] => [4,3,2,1,5,7,6]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [3,2,4,1,5,8,7,6] => [3,2,4,1,5,7,6] => [4,3,2,1,5,7,6]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [3,2,4,1,6,5,7,8] => [3,2,4,1,6,5,7] => [4,3,2,1,6,5,7]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7] => [3,2,4,1,6,5,7] => [4,3,2,1,6,5,7]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [3,2,4,1,6,7,5,8] => [3,2,4,1,6,7,5] => [4,3,2,1,7,6,5]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [3,2,4,1,6,7,8,5] => [3,2,4,1,6,7,5] => [4,3,2,1,7,6,5]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => [3,2,4,1,6,7,5] => [4,3,2,1,7,6,5]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [3,2,4,1,7,6,5,8] => [3,2,4,1,7,6,5] => [4,3,2,1,6,7,5]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => [3,2,4,1,7,6,5] => [4,3,2,1,6,7,5]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [3,2,4,1,7,8,6,5] => [3,2,4,1,7,6,5] => [4,3,2,1,6,7,5]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [3,2,4,1,8,7,6,5] => [3,2,4,1,7,6,5] => [4,3,2,1,6,7,5]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [3,2,4,5,1,8,7,6] => [3,2,4,5,1,7,6] => [5,3,2,4,1,7,6]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,7,1,8] => [3,2,4,5,6,7,1] => [7,3,2,4,5,6,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,1] => [7,3,2,4,5,6,1]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [3,2,4,5,7,6,8,1] => [3,2,4,5,7,6,1] => [6,3,2,4,5,7,1]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,2,4,8,7,6,5,1] => [3,2,4,7,6,5,1] => [5,3,2,4,6,7,1]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [3,2,5,4,1,6,7,8] => [3,2,5,4,1,6,7] => [4,3,2,5,1,6,7]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => [3,2,5,4,1,7,6] => [4,3,2,5,1,7,6]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => [3,2,5,4,6,1,7] => [6,3,2,5,4,1,7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => [3,2,5,4,7,6,1] => [6,3,2,5,4,7,1]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => [3,2,5,4,7,6,1] => [6,3,2,5,4,7,1]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => [3,2,6,5,4,7,1] => [7,3,2,5,6,4,1]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,2,6,5,7,4,8,1] => [3,2,6,5,7,4,1] => [4,3,2,7,6,5,1]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [3,2,6,7,5,4,1,8] => [3,2,6,7,5,4,1] => [4,3,2,5,7,6,1]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => [3,2,7,6,5,4,1] => [4,3,2,5,6,7,1]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,2,1,6,5,8,7] => [3,4,2,1,6,5,7] => [2,4,3,1,6,5,7]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [3,4,2,1,6,7,8,5] => [3,4,2,1,6,7,5] => [2,4,3,1,7,6,5]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [3,4,2,1,6,8,7,5] => [3,4,2,1,6,7,5] => [2,4,3,1,7,6,5]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [3,4,2,1,7,6,8,5] => [3,4,2,1,7,6,5] => [2,4,3,1,6,7,5]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,2,1,7,8,6,5] => [3,4,2,1,7,6,5] => [2,4,3,1,6,7,5]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4,2,1,8,7,6,5] => [3,4,2,1,7,6,5] => [2,4,3,1,6,7,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [3,4,2,5,1,8,7,6] => [3,4,2,5,1,7,6] => [5,4,3,2,1,7,6]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,4,2,5,6,7,8,1] => [3,4,2,5,6,7,1] => [7,4,3,2,5,6,1]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [3,4,2,5,7,8,6,1] => [3,4,2,5,7,6,1] => [6,4,3,2,5,7,1]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [3,4,2,6,7,5,8,1] => [3,4,2,6,7,5,1] => [5,4,3,2,7,6,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [3,4,2,8,7,6,5,1] => [3,4,2,7,6,5,1] => [5,4,3,2,6,7,1]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [3,4,5,2,1,8,7,6] => [3,4,5,2,1,7,6] => [2,5,3,4,1,7,6]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,4,5,2,6,7,8,1] => [3,4,5,2,6,7,1] => [7,5,3,4,2,6,1]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,4,5,8,7,6,2,1] => [3,4,5,7,6,2,1] => [2,6,3,4,5,7,1]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [3,4,7,6,5,2,1,8] => [3,4,7,6,5,2,1] => [2,5,3,4,6,7,1]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4,8,7,6,5,2,1] => [3,4,7,6,5,2,1] => [2,5,3,4,6,7,1]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [3,5,4,2,1,8,7,6] => [3,5,4,2,1,7,6] => [2,4,3,5,1,7,6]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [3,5,4,2,6,7,1,8] => [3,5,4,2,6,7,1] => [7,4,3,5,2,6,1]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [3,5,4,2,7,6,1,8] => [3,5,4,2,7,6,1] => [6,4,3,5,2,7,1]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [3,5,6,7,8,4,2,1] => [3,5,6,7,4,2,1] => [2,4,3,7,5,6,1]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [3,5,8,7,6,4,2,1] => [3,5,7,6,4,2,1] => [2,4,3,6,5,7,1]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [3,6,5,4,2,1,8,7] => [3,6,5,4,2,1,7] => [2,4,3,5,6,1,7]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [3,7,6,8,5,4,2,1] => [3,7,6,5,4,2,1] => [2,4,3,5,6,7,1]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,3,2,1,5,7,6,8] => [4,3,2,1,5,7,6] => [2,3,4,1,5,7,6]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,3,2,1,5,7,8,6] => [4,3,2,1,5,7,6] => [2,3,4,1,5,7,6]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,3,2,1,5,8,7,6] => [4,3,2,1,5,7,6] => [2,3,4,1,5,7,6]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [4,3,2,1,6,5,7,8] => [4,3,2,1,6,5,7] => [2,3,4,1,6,5,7]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,7] => [2,3,4,1,6,5,7]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [4,3,2,1,6,7,5,8] => [4,3,2,1,6,7,5] => [2,3,4,1,7,6,5]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,3,2,1,6,7,8,5] => [4,3,2,1,6,7,5] => [2,3,4,1,7,6,5]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [4,3,2,1,6,8,7,5] => [4,3,2,1,6,7,5] => [2,3,4,1,7,6,5]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,3,2,1,7,6,5,8] => [4,3,2,1,7,6,5] => [2,3,4,1,6,7,5]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,3,2,1,7,6,8,5] => [4,3,2,1,7,6,5] => [2,3,4,1,6,7,5]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,3,2,1,7,8,6,5] => [4,3,2,1,7,6,5] => [2,3,4,1,6,7,5]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => [4,3,2,1,7,6,5] => [2,3,4,1,6,7,5]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [4,3,2,5,1,8,7,6] => [4,3,2,5,1,7,6] => [5,3,4,2,1,7,6]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [4,3,2,5,6,1,8,7] => [4,3,2,5,6,1,7] => [6,3,4,2,5,1,7]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => [4,3,2,5,6,7,1] => [7,3,4,2,5,6,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [4,3,2,7,6,5,8,1] => [4,3,2,7,6,5,1] => [5,3,4,2,6,7,1]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,3,2,8,7,6,5,1] => [4,3,2,7,6,5,1] => [5,3,4,2,6,7,1]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [4,3,5,2,1,8,7,6] => [4,3,5,2,1,7,6] => [2,5,4,3,1,7,6]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,3,5,2,6,1,8,7] => [4,3,5,2,6,1,7] => [6,5,4,3,2,1,7]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,3,5,2,7,6,8,1] => [4,3,5,2,7,6,1] => [6,5,4,3,2,7,1]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [4,3,5,6,2,1,8,7] => [4,3,5,6,2,1,7] => [2,6,4,3,5,1,7]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [4,3,5,6,7,8,2,1] => [4,3,5,6,7,2,1] => [2,7,4,3,5,6,1]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [4,3,6,5,2,1,8,7] => [4,3,6,5,2,1,7] => [2,5,4,3,6,1,7]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [4,3,6,5,2,8,7,1] => [4,3,6,5,2,7,1] => [7,5,4,3,6,2,1]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,3,6,5,7,2,8,1] => [4,3,6,5,7,2,1] => [2,7,4,3,6,5,1]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,3,6,5,8,7,2,1] => [4,3,6,5,7,2,1] => [2,7,4,3,6,5,1]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [4,5,3,2,1,8,7,6] => [4,5,3,2,1,7,6] => [2,3,5,4,1,7,6]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [4,5,3,2,6,1,7,8] => [4,5,3,2,6,1,7] => [6,3,5,4,2,1,7]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [4,5,3,2,6,1,8,7] => [4,5,3,2,6,1,7] => [6,3,5,4,2,1,7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [4,5,3,2,7,6,1,8] => [4,5,3,2,7,6,1] => [6,3,5,4,2,7,1]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [4,5,3,6,2,1,8,7] => [4,5,3,6,2,1,7] => [2,6,5,4,3,1,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [4,5,3,6,2,7,1,8] => [4,5,3,6,2,7,1] => [7,6,5,4,3,2,1]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,3,2,1,8,7] => [4,5,6,3,2,1,7] => [2,3,6,4,5,1,7]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,5,6,7,8,3,2,1] => [4,5,6,7,3,2,1] => [2,3,7,4,5,6,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,7,6,5,3,2,1,8] => [4,7,6,5,3,2,1] => [2,3,5,4,6,7,1]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [4,7,6,5,8,3,2,1] => [4,7,6,5,3,2,1] => [2,3,5,4,6,7,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,8,7,6,5,3,2,1] => [4,7,6,5,3,2,1] => [2,3,5,4,6,7,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,4,3,2,1,6,8,7] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,4,3,2,1,7,6,8] => [5,4,3,2,1,7,6] => [2,3,4,5,1,7,6]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,4,3,2,1,7,8,6] => [5,4,3,2,1,7,6] => [2,3,4,5,1,7,6]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => [5,4,3,2,1,7,6] => [2,3,4,5,1,7,6]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [5,4,3,2,6,1,7,8] => [5,4,3,2,6,1,7] => [6,3,4,5,2,1,7]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [5,4,3,2,6,1,8,7] => [5,4,3,2,6,1,7] => [6,3,4,5,2,1,7]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [5,4,3,2,6,7,1,8] => [5,4,3,2,6,7,1] => [7,3,4,5,2,6,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [5,4,3,2,6,7,8,1] => [5,4,3,2,6,7,1] => [7,3,4,5,2,6,1]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [5,4,3,2,6,8,7,1] => [5,4,3,2,6,7,1] => [7,3,4,5,2,6,1]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => [5,4,3,2,7,6,1] => [6,3,4,5,2,7,1]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [5,4,3,2,7,6,8,1] => [5,4,3,2,7,6,1] => [6,3,4,5,2,7,1]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [5,4,3,2,7,8,6,1] => [5,4,3,2,7,6,1] => [6,3,4,5,2,7,1]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [5,4,3,2,8,7,6,1] => [5,4,3,2,7,6,1] => [6,3,4,5,2,7,1]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [5,4,3,6,2,1,8,7] => [5,4,3,6,2,1,7] => [2,6,4,5,3,1,7]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,4,6,3,7,2,8,1] => [5,4,6,3,7,2,1] => [2,7,6,5,4,3,1]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [5,4,6,7,3,8,2,1] => [5,4,6,7,3,2,1] => [2,3,7,5,4,6,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [5,6,4,3,2,1,8,7] => [5,6,4,3,2,1,7] => [2,3,4,6,5,1,7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,4,3,2,1,8] => [5,6,7,4,3,2,1] => [2,3,4,7,5,6,1]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,6,7,8,4,3,2,1] => [5,6,7,4,3,2,1] => [2,3,4,7,5,6,1]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,7,6,4,3,2,1,8] => [5,7,6,4,3,2,1] => [2,3,4,6,5,7,1]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [5,7,6,4,3,8,2,1] => [5,7,6,4,3,2,1] => [2,3,4,6,5,7,1]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [5,8,7,6,4,3,2,1] => [5,7,6,4,3,2,1] => [2,3,4,6,5,7,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,5,4,3,7,2,8,1] => [6,5,4,3,7,2,1] => [2,7,4,5,6,3,1]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,5,4,7,3,2,1,8] => [6,5,4,7,3,2,1] => [2,3,7,5,6,4,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,5,7,4,3,2,1,8] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,5,7,4,3,2,8,1] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [6,5,7,4,8,3,2,1] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [6,5,7,8,4,3,2,1] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,5,8,7,4,3,2,1] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,5,4,3,2,1,8] => [6,7,5,4,3,2,1] => [2,3,4,5,7,6,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,7,5,4,3,2,8,1] => [6,7,5,4,3,2,1] => [2,3,4,5,7,6,1]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,7,8,5,4,3,2,1] => [6,7,5,4,3,2,1] => [2,3,4,5,7,6,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,6,5,4,3,8,2,1] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [7,6,5,4,8,3,2,1] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [7,6,5,8,4,3,2,1] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [7,6,8,5,4,3,2,1] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [7,8,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1]
[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] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [7,8,6,5,4,3,2,1,9] => [7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,8,9,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10,9,8,7,6,5,4,3,2] => [1,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,2]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [8,9,7,6,5,4,3,2,1,10] => [8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,8,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,6,8,5,4,3,2,1,9] => [7,6,8,5,4,3,2,1] => [2,3,4,5,8,7,6,1]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,8,7,5,4,3,2,1,9] => [6,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,1]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,8,7,9,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,7,9,8,6,5,4,3,2] => [1,7,8,6,5,4,3,2] => [1,3,4,5,6,8,7,2]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,9,10,8,7,6,5,4,3,2] => [1,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,2]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,11,10,9,8,7,6,5,4,3,2] => [1,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,2]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8]
[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] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,1,10,9,8,7,6,5,4,3] => [2,1,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,3]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1]
[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] => [3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,2,5,6,7,8,9,1] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [7,8,9,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,7,6,5,4,3,2,9,1] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [8,7,6,5,4,3,9,2,1] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [8,7,6,5,4,9,3,2,1] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [8,7,6,5,9,4,3,2,1] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [8,7,6,9,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [8,7,9,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [8,9,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [9,8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5]
[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] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4]
[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] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3]
[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] => [1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2]
[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] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,3,4,7,6,8,9,5] => [1,2,3,4,7,6,8,5] => [1,2,3,4,8,7,6,5]
[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] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,7,8,6]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,2,3,6,5,7,8,9,4] => [1,2,3,6,5,7,8,4] => [1,2,3,8,6,5,7,4]
[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] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5]
[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] => [1,2,5,4,6,7,8,3] => [1,2,8,5,4,6,7,3]
[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] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4]
[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] => [1,4,3,5,6,7,8,2] => [1,8,4,3,5,6,7,2]
[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] => [1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3]
[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] => [1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2]
[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] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,1] => [3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,11,1] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8]
[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] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[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] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8]
[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] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7,9]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [2,1,8,7,6,5,4,3,10,9] => [2,1,8,7,6,5,4,3,9] => [2,1,4,5,6,7,8,3,9]
[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] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7,10,9] => [4,3,2,1,6,5,8,7,9] => [2,3,4,1,6,5,8,7,9]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,8,7,6,5,10,9] => [4,3,2,1,8,7,6,5,9] => [2,3,4,1,6,7,8,5,9]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,3,2,1,10,9,8,7,6,5] => [4,3,2,1,9,8,7,6,5] => [2,3,4,1,6,7,8,9,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,5,4,3,2,1,10,9,8,7] => [6,5,4,3,2,1,9,8,7] => [2,3,4,5,6,1,8,9,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [10,9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[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] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,1,9] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,9,1,10] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1]
[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] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [9,8,10,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,8,7,6,5,4,3,2,10,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [9,10,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [9,8,7,6,5,4,3,10,2,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [9,8,7,6,5,4,10,3,2,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [9,8,7,6,5,10,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [9,8,7,6,10,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [9,8,7,10,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6,9,8] => [2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6,9,8,10] => [2,3,1,5,4,7,6,9,8] => [3,2,1,5,4,7,6,9,8]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,7,8,9,10,5,4,3,2,1] => [6,7,8,9,5,4,3,2,1] => [2,3,4,5,9,6,7,8,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [10,9,8,7,6,5,4,3,2,1,12,11] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,1,11]
Map
to 312-avoiding permutation
Description
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
- $des$ is the number of descents, St000021The number of descents of a permutation.,
- $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
- $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
- $Ebot$ is the sum of the excedance bottoms,
- $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
- $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
- $Res$ is the sum of the (right) embracing numbers,
- $Ine$ is the sum of the side numbers.
searching the database
Sorry, this map was not found in the database.