Processing math: 100%

Identifier
Mp00223: Permutations —runsort⟶ Permutations
Mp00087: Permutations —inverse first fundamental transformation⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Images
[1] => [1] => [1] => [1] => [1,0]
[1,2] => [1,2] => [1,2] => [2,1] => [1,1,0,0]
[2,1] => [1,2] => [1,2] => [2,1] => [1,1,0,0]
[1,2,3] => [1,2,3] => [1,2,3] => [3,2,1] => [1,1,1,0,0,0]
[1,3,2] => [1,3,2] => [1,3,2] => [3,1,2] => [1,1,1,0,0,0]
[2,1,3] => [1,3,2] => [1,3,2] => [3,1,2] => [1,1,1,0,0,0]
[2,3,1] => [1,2,3] => [1,2,3] => [3,2,1] => [1,1,1,0,0,0]
[3,1,2] => [1,2,3] => [1,2,3] => [3,2,1] => [1,1,1,0,0,0]
[3,2,1] => [1,2,3] => [1,2,3] => [3,2,1] => [1,1,1,0,0,0]
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [4,3,2,1] => [1,1,1,1,0,0,0,0]
[1,2,4,3] => [1,2,4,3] => [1,2,4,3] => [4,3,1,2] => [1,1,1,1,0,0,0,0]
[1,3,2,4] => [1,3,2,4] => [1,3,2,4] => [4,2,3,1] => [1,1,1,1,0,0,0,0]
[1,3,4,2] => [1,3,4,2] => [1,4,2,3] => [4,1,3,2] => [1,1,1,1,0,0,0,0]
[1,4,2,3] => [1,4,2,3] => [1,4,3,2] => [4,1,2,3] => [1,1,1,1,0,0,0,0]
[1,4,3,2] => [1,4,2,3] => [1,4,3,2] => [4,1,2,3] => [1,1,1,1,0,0,0,0]
[2,1,3,4] => [1,3,4,2] => [1,4,2,3] => [4,1,3,2] => [1,1,1,1,0,0,0,0]
[2,1,4,3] => [1,4,2,3] => [1,4,3,2] => [4,1,2,3] => [1,1,1,1,0,0,0,0]
[2,3,1,4] => [1,4,2,3] => [1,4,3,2] => [4,1,2,3] => [1,1,1,1,0,0,0,0]
[2,3,4,1] => [1,2,3,4] => [1,2,3,4] => [4,3,2,1] => [1,1,1,1,0,0,0,0]
[2,4,1,3] => [1,3,2,4] => [1,3,2,4] => [4,2,3,1] => [1,1,1,1,0,0,0,0]
[2,4,3,1] => [1,2,4,3] => [1,2,4,3] => [4,3,1,2] => [1,1,1,1,0,0,0,0]
[3,1,2,4] => [1,2,4,3] => [1,2,4,3] => [4,3,1,2] => [1,1,1,1,0,0,0,0]
[3,1,4,2] => [1,4,2,3] => [1,4,3,2] => [4,1,2,3] => [1,1,1,1,0,0,0,0]
[3,2,1,4] => [1,4,2,3] => [1,4,3,2] => [4,1,2,3] => [1,1,1,1,0,0,0,0]
[3,2,4,1] => [1,2,4,3] => [1,2,4,3] => [4,3,1,2] => [1,1,1,1,0,0,0,0]
[3,4,1,2] => [1,2,3,4] => [1,2,3,4] => [4,3,2,1] => [1,1,1,1,0,0,0,0]
[3,4,2,1] => [1,2,3,4] => [1,2,3,4] => [4,3,2,1] => [1,1,1,1,0,0,0,0]
[4,1,2,3] => [1,2,3,4] => [1,2,3,4] => [4,3,2,1] => [1,1,1,1,0,0,0,0]
[4,1,3,2] => [1,3,2,4] => [1,3,2,4] => [4,2,3,1] => [1,1,1,1,0,0,0,0]
[4,2,1,3] => [1,3,2,4] => [1,3,2,4] => [4,2,3,1] => [1,1,1,1,0,0,0,0]
[4,2,3,1] => [1,2,3,4] => [1,2,3,4] => [4,3,2,1] => [1,1,1,1,0,0,0,0]
[4,3,1,2] => [1,2,3,4] => [1,2,3,4] => [4,3,2,1] => [1,1,1,1,0,0,0,0]
[4,3,2,1] => [1,2,3,4] => [1,2,3,4] => [4,3,2,1] => [1,1,1,1,0,0,0,0]
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0]
[1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0]
[1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,3,4] => [5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0]
[1,2,5,3,4] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[1,2,5,4,3] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0]
[1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0]
[1,3,4,2,5] => [1,3,4,2,5] => [1,4,2,3,5] => [5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0]
[1,3,4,5,2] => [1,3,4,5,2] => [1,5,2,3,4] => [5,1,4,3,2] => [1,1,1,1,1,0,0,0,0,0]
[1,3,5,2,4] => [1,3,5,2,4] => [1,5,4,2,3] => [5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0]
[1,3,5,4,2] => [1,3,5,2,4] => [1,5,4,2,3] => [5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0]
[1,4,2,3,5] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[1,4,2,5,3] => [1,4,2,5,3] => [1,5,3,2,4] => [5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0]
[1,4,3,2,5] => [1,4,2,5,3] => [1,5,3,2,4] => [5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0]
[1,4,3,5,2] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[1,4,5,2,3] => [1,4,5,2,3] => [1,4,2,5,3] => [5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0]
[1,4,5,3,2] => [1,4,5,2,3] => [1,4,2,5,3] => [5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0]
[1,5,2,3,4] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[1,5,2,4,3] => [1,5,2,4,3] => [1,4,5,3,2] => [5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0]
[1,5,3,2,4] => [1,5,2,4,3] => [1,4,5,3,2] => [5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0]
[1,5,3,4,2] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[1,5,4,2,3] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[1,5,4,3,2] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[2,1,3,4,5] => [1,3,4,5,2] => [1,5,2,3,4] => [5,1,4,3,2] => [1,1,1,1,1,0,0,0,0,0]
[2,1,3,5,4] => [1,3,5,2,4] => [1,5,4,2,3] => [5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0]
[2,1,4,3,5] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[2,1,4,5,3] => [1,4,5,2,3] => [1,4,2,5,3] => [5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0]
[2,1,5,3,4] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[2,1,5,4,3] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[2,3,1,4,5] => [1,4,5,2,3] => [1,4,2,5,3] => [5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0]
[2,3,1,5,4] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[2,3,4,1,5] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[2,3,5,1,4] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[2,3,5,4,1] => [1,2,3,5,4] => [1,2,3,5,4] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0]
[2,4,1,3,5] => [1,3,5,2,4] => [1,5,4,2,3] => [5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0]
[2,4,1,5,3] => [1,5,2,4,3] => [1,4,5,3,2] => [5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0]
[2,4,3,1,5] => [1,5,2,4,3] => [1,4,5,3,2] => [5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0]
[2,4,3,5,1] => [1,2,4,3,5] => [1,2,4,3,5] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0]
[2,4,5,1,3] => [1,3,2,4,5] => [1,3,2,4,5] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0]
[2,4,5,3,1] => [1,2,4,5,3] => [1,2,5,3,4] => [5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0]
[2,5,1,3,4] => [1,3,4,2,5] => [1,4,2,3,5] => [5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0]
[2,5,1,4,3] => [1,4,2,5,3] => [1,5,3,2,4] => [5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0]
[2,5,3,1,4] => [1,4,2,5,3] => [1,5,3,2,4] => [5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0]
[2,5,3,4,1] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[2,5,4,1,3] => [1,3,2,5,4] => [1,3,2,5,4] => [5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0]
[2,5,4,3,1] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[3,1,2,4,5] => [1,2,4,5,3] => [1,2,5,3,4] => [5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0]
[3,1,2,5,4] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[3,1,4,2,5] => [1,4,2,5,3] => [1,5,3,2,4] => [5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0]
[3,1,4,5,2] => [1,4,5,2,3] => [1,4,2,5,3] => [5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0]
[3,1,5,2,4] => [1,5,2,4,3] => [1,4,5,3,2] => [5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0]
[3,1,5,4,2] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[3,2,1,4,5] => [1,4,5,2,3] => [1,4,2,5,3] => [5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0]
[3,2,1,5,4] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[3,2,4,1,5] => [1,5,2,4,3] => [1,4,5,3,2] => [5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0]
[3,2,4,5,1] => [1,2,4,5,3] => [1,2,5,3,4] => [5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0]
[3,2,5,1,4] => [1,4,2,5,3] => [1,5,3,2,4] => [5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0]
[3,2,5,4,1] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[3,4,1,2,5] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[3,4,1,5,2] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[3,4,2,1,5] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[3,4,2,5,1] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[3,4,5,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[3,4,5,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[3,5,1,2,4] => [1,2,4,3,5] => [1,2,4,3,5] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0]
[3,5,1,4,2] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
>>> Load all 11408 entries. <<<
[3,5,2,1,4] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[3,5,2,4,1] => [1,2,4,3,5] => [1,2,4,3,5] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0]
[3,5,4,1,2] => [1,2,3,5,4] => [1,2,3,5,4] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0]
[3,5,4,2,1] => [1,2,3,5,4] => [1,2,3,5,4] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0]
[4,1,2,3,5] => [1,2,3,5,4] => [1,2,3,5,4] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0]
[4,1,2,5,3] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[4,1,3,2,5] => [1,3,2,5,4] => [1,3,2,5,4] => [5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0]
[4,1,3,5,2] => [1,3,5,2,4] => [1,5,4,2,3] => [5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0]
[4,1,5,2,3] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[4,1,5,3,2] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[4,2,1,3,5] => [1,3,5,2,4] => [1,5,4,2,3] => [5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0]
[4,2,1,5,3] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[4,2,3,1,5] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[4,2,3,5,1] => [1,2,3,5,4] => [1,2,3,5,4] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0]
[4,2,5,1,3] => [1,3,2,5,4] => [1,3,2,5,4] => [5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0]
[4,2,5,3,1] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[4,3,1,2,5] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[4,3,1,5,2] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[4,3,2,1,5] => [1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[4,3,2,5,1] => [1,2,5,3,4] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0]
[4,3,5,1,2] => [1,2,3,5,4] => [1,2,3,5,4] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0]
[4,3,5,2,1] => [1,2,3,5,4] => [1,2,3,5,4] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0]
[4,5,1,2,3] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[4,5,1,3,2] => [1,3,2,4,5] => [1,3,2,4,5] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0]
[4,5,2,1,3] => [1,3,2,4,5] => [1,3,2,4,5] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0]
[4,5,2,3,1] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[4,5,3,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[4,5,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,1,2,3,4] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,1,2,4,3] => [1,2,4,3,5] => [1,2,4,3,5] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0]
[5,1,3,2,4] => [1,3,2,4,5] => [1,3,2,4,5] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,1,3,4,2] => [1,3,4,2,5] => [1,4,2,3,5] => [5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0]
[5,1,4,2,3] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[5,1,4,3,2] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[5,2,1,3,4] => [1,3,4,2,5] => [1,4,2,3,5] => [5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0]
[5,2,1,4,3] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[5,2,3,1,4] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[5,2,3,4,1] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,2,4,1,3] => [1,3,2,4,5] => [1,3,2,4,5] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,2,4,3,1] => [1,2,4,3,5] => [1,2,4,3,5] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0]
[5,3,1,2,4] => [1,2,4,3,5] => [1,2,4,3,5] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0]
[5,3,1,4,2] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[5,3,2,1,4] => [1,4,2,3,5] => [1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0]
[5,3,2,4,1] => [1,2,4,3,5] => [1,2,4,3,5] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0]
[5,3,4,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,3,4,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,4,1,2,3] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,4,1,3,2] => [1,3,2,4,5] => [1,3,2,4,5] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,4,2,1,3] => [1,3,2,4,5] => [1,3,2,4,5] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,4,2,3,1] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,4,3,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0]
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,5,6,4] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,6,5,4] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,4,5,3,6] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,4,5,6,3] => [1,2,4,5,6,3] => [1,2,6,3,4,5] => [6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,4,6,3,5] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,4,6,5,3] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,3,6,4] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,4,3,6] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,4,6,3] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,6,3,4] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,5,6,4,3] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,3,4,5] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,3,5,4] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,4,3,5] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,4,5,3] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,5,3,4] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,6,5,4,3] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,2,5,6,4] => [1,3,2,5,6,4] => [1,3,2,6,4,5] => [6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,2,6,4,5] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,2,6,5,4] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,4,2,5,6] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,4,2,6,5] => [1,3,4,2,6,5] => [1,4,2,3,6,5] => [6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,4,5,2,6] => [1,3,4,5,2,6] => [1,5,2,3,4,6] => [6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,4,5,6,2] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,4,6,2,5] => [1,3,4,6,2,5] => [1,6,5,2,3,4] => [6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,4,6,5,2] => [1,3,4,6,2,5] => [1,6,5,2,3,4] => [6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,5,2,4,6] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,5,2,6,4] => [1,3,5,2,6,4] => [1,6,4,2,3,5] => [6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,5,4,2,6] => [1,3,5,2,6,4] => [1,6,4,2,3,5] => [6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,5,4,6,2] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,5,6,2,4] => [1,3,5,6,2,4] => [1,5,2,3,6,4] => [6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,5,6,4,2] => [1,3,5,6,2,4] => [1,5,2,3,6,4] => [6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,6,2,4,5] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,6,2,5,4] => [1,3,6,2,5,4] => [1,5,6,4,2,3] => [6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,6,4,2,5] => [1,3,6,2,5,4] => [1,5,6,4,2,3] => [6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,6,4,5,2] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,6,5,2,4] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,3,6,5,4,2] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,3,6,5] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,5,3,6] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,5,6,3] => [1,4,2,5,6,3] => [1,6,3,2,4,5] => [6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,6,3,5] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,2,6,5,3] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,2,5,6] => [1,4,2,5,6,3] => [1,6,3,2,4,5] => [6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,2,6,5] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,5,2,6] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,5,6,2] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,6,2,5] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,3,6,5,2] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,5,2,3,6] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,5,2,6,3] => [1,4,5,2,6,3] => [1,4,2,6,3,5] => [6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,5,3,2,6] => [1,4,5,2,6,3] => [1,4,2,6,3,5] => [6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,5,3,6,2] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,5,6,2,3] => [1,4,5,6,2,3] => [1,6,3,5,2,4] => [6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,5,6,3,2] => [1,4,5,6,2,3] => [1,6,3,5,2,4] => [6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,6,2,3,5] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,6,2,5,3] => [1,4,6,2,5,3] => [1,4,2,5,6,3] => [6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,6,3,2,5] => [1,4,6,2,5,3] => [1,4,2,5,6,3] => [6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,6,3,5,2] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,6,5,2,3] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,4,6,5,3,2] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,3,6,4] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,4,3,6] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,4,6,3] => [1,5,2,4,6,3] => [1,4,6,3,2,5] => [6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,6,3,4] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,2,6,4,3] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,2,4,6] => [1,5,2,4,6,3] => [1,4,6,3,2,5] => [6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,2,6,4] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,4,2,6] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,4,6,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,6,2,4] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,3,6,4,2] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,2,3,6] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,2,6,3] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,3,2,6] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,3,6,2] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,6,2,3] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,4,6,3,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,6,2,3,4] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,6,2,4,3] => [1,5,6,2,4,3] => [1,5,4,2,6,3] => [6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,6,3,2,4] => [1,5,6,2,4,3] => [1,5,4,2,6,3] => [6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,6,3,4,2] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,6,4,2,3] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,5,6,4,3,2] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,3,5,4] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,4,3,5] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,4,5,3] => [1,6,2,4,5,3] => [1,4,5,6,3,2] => [6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,5,3,4] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,2,5,4,3] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,2,4,5] => [1,6,2,4,5,3] => [1,4,5,6,3,2] => [6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,2,5,4] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,4,2,5] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,4,5,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,5,2,4] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,3,5,4,2] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,2,3,5] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,2,5,3] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,3,2,5] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,3,5,2] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,5,2,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,4,5,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,2,3,4] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,2,4,3] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,3,2,4] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,3,4,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,4,2,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,6,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,4,5,6] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,4,6,5] => [1,3,4,6,2,5] => [1,6,5,2,3,4] => [6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,5,4,6] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,5,6,4] => [1,3,5,6,2,4] => [1,5,2,3,6,4] => [6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,6,4,5] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,3,6,5,4] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,3,5,6] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,3,6,5] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,5,3,6] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,5,6,3] => [1,4,5,6,2,3] => [1,6,3,5,2,4] => [6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,6,3,5] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,4,6,5,3] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,3,4,6] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,3,6,4] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,4,3,6] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,4,6,3] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,6,3,4] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,5,6,4,3] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,3,4,5] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,3,5,4] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,4,3,5] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,4,5,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,5,3,4] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,1,6,5,4,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,1,4,5,6] => [1,4,5,6,2,3] => [1,6,3,5,2,4] => [6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,1,4,6,5] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,1,5,4,6] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,1,5,6,4] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,1,6,4,5] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,1,6,5,4] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,4,1,5,6] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,4,1,6,5] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,4,5,1,6] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,4,6,1,5] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,5,1,4,6] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,5,1,6,4] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,5,4,1,6] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,5,4,6,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,5,6,1,4] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,5,6,4,1] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,6,1,4,5] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,6,1,5,4] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,6,4,1,5] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,6,5,1,4] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,3,5,6] => [1,3,5,6,2,4] => [1,5,2,3,6,4] => [6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,3,6,5] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,5,3,6] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,5,6,3] => [1,5,6,2,4,3] => [1,5,4,2,6,3] => [6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,6,3,5] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,1,6,5,3] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,1,5,6] => [1,5,6,2,4,3] => [1,5,4,2,6,3] => [6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,1,6,5] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,5,1,6] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,5,6,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,6,1,5] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,3,6,5,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,5,1,3,6] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,5,1,6,3] => [1,6,2,4,5,3] => [1,4,5,6,3,2] => [6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,5,3,1,6] => [1,6,2,4,5,3] => [1,4,5,6,3,2] => [6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,5,3,6,1] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,5,6,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,5,6,3,1] => [1,2,4,5,6,3] => [1,2,6,3,4,5] => [6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,6,1,3,5] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,6,1,5,3] => [1,5,2,4,6,3] => [1,4,6,3,2,5] => [6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,6,3,1,5] => [1,5,2,4,6,3] => [1,4,6,3,2,5] => [6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,6,3,5,1] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,6,5,1,3] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,4,6,5,3,1] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,3,4,6] => [1,3,4,6,2,5] => [1,6,5,2,3,4] => [6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,3,6,4] => [1,3,6,2,5,4] => [1,5,6,4,2,3] => [6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,4,3,6] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,4,6,3] => [1,4,6,2,5,3] => [1,4,2,5,6,3] => [6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,6,3,4] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,1,6,4,3] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,1,4,6] => [1,4,6,2,5,3] => [1,4,2,5,6,3] => [6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,1,6,4] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,4,1,6] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,4,6,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,6,1,4] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,3,6,4,1] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,4,1,3,6] => [1,3,6,2,5,4] => [1,5,6,4,2,3] => [6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,4,1,6,3] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,4,3,1,6] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,4,3,6,1] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,4,6,1,3] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,6,1,3,4] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,6,1,4,3] => [1,4,2,5,6,3] => [1,6,3,2,4,5] => [6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,6,3,1,4] => [1,4,2,5,6,3] => [1,6,3,2,4,5] => [6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,6,3,4,1] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,6,4,1,3] => [1,3,2,5,6,4] => [1,3,2,6,4,5] => [6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,5,6,4,3,1] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,3,4,5] => [1,3,4,5,2,6] => [1,5,2,3,4,6] => [6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,3,5,4] => [1,3,5,2,6,4] => [1,6,4,2,3,5] => [6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,4,3,5] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,4,5,3] => [1,4,5,2,6,3] => [1,4,2,6,3,5] => [6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,5,3,4] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,1,5,4,3] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,1,4,5] => [1,4,5,2,6,3] => [1,4,2,6,3,5] => [6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,1,5,4] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,4,1,5] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,5,1,4] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,3,5,4,1] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,1,3,5] => [1,3,5,2,6,4] => [1,6,4,2,3,5] => [6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,1,5,3] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,3,1,5] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,3,5,1] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,5,1,3] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,1,3,4] => [1,3,4,2,6,5] => [1,4,2,3,6,5] => [6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,1,4,3] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,3,1,4] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,3,4,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,4,1,3] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[2,6,5,4,3,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,4,5,6] => [1,2,4,5,6,3] => [1,2,6,3,4,5] => [6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,4,6,5] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,5,4,6] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,5,6,4] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,6,4,5] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,2,6,5,4] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,2,5,6] => [1,4,2,5,6,3] => [1,6,3,2,4,5] => [6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,2,6,5] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,5,2,6] => [1,4,5,2,6,3] => [1,4,2,6,3,5] => [6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,5,6,2] => [1,4,5,6,2,3] => [1,6,3,5,2,4] => [6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,6,2,5] => [1,4,6,2,5,3] => [1,4,2,5,6,3] => [6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,4,6,5,2] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,2,4,6] => [1,5,2,4,6,3] => [1,4,6,3,2,5] => [6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,2,6,4] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,4,2,6] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,4,6,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,6,2,4] => [1,5,6,2,4,3] => [1,5,4,2,6,3] => [6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,5,6,4,2] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,2,4,5] => [1,6,2,4,5,3] => [1,4,5,6,3,2] => [6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,2,5,4] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,4,2,5] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,4,5,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,5,2,4] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,1,6,5,4,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,4,5,6] => [1,4,5,6,2,3] => [1,6,3,5,2,4] => [6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,4,6,5] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,5,4,6] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,5,6,4] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,6,4,5] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,1,6,5,4] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,4,1,5,6] => [1,5,6,2,4,3] => [1,5,4,2,6,3] => [6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,4,1,6,5] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,4,5,1,6] => [1,6,2,4,5,3] => [1,4,5,6,3,2] => [6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,4,5,6,1] => [1,2,4,5,6,3] => [1,2,6,3,4,5] => [6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,4,6,1,5] => [1,5,2,4,6,3] => [1,4,6,3,2,5] => [6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,4,6,5,1] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,5,1,4,6] => [1,4,6,2,5,3] => [1,4,2,5,6,3] => [6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,5,1,6,4] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,5,4,1,6] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,5,4,6,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,5,6,1,4] => [1,4,2,5,6,3] => [1,6,3,2,4,5] => [6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,5,6,4,1] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,6,1,4,5] => [1,4,5,2,6,3] => [1,4,2,6,3,5] => [6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,6,1,5,4] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,6,4,1,5] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,6,4,5,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,6,5,1,4] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,2,6,5,4,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,1,2,5,6] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,1,2,6,5] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,1,5,2,6] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,1,5,6,2] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,1,6,2,5] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,1,6,5,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,2,1,5,6] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,2,1,6,5] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,2,5,1,6] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,2,5,6,1] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,2,6,1,5] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,2,6,5,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,5,1,2,6] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,5,1,6,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,5,2,1,6] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,5,2,6,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,5,6,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,5,6,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,6,1,2,5] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,6,1,5,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,6,2,1,5] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,6,2,5,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,6,5,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,4,6,5,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,1,2,4,6] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,1,2,6,4] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,1,4,2,6] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,1,4,6,2] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,1,6,2,4] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,1,6,4,2] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,2,1,4,6] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,2,1,6,4] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,2,4,1,6] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,2,4,6,1] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,2,6,1,4] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,2,6,4,1] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,4,1,2,6] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,4,1,6,2] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,4,2,1,6] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,4,2,6,1] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,4,6,1,2] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,4,6,2,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,6,1,2,4] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,6,1,4,2] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,6,2,1,4] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,6,2,4,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,6,4,1,2] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,5,6,4,2,1] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,1,2,4,5] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,1,2,5,4] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,1,4,2,5] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,1,4,5,2] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,1,5,2,4] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,1,5,4,2] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,2,1,4,5] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,2,1,5,4] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,2,4,1,5] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,2,4,5,1] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,2,5,1,4] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,2,5,4,1] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,4,1,2,5] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,4,1,5,2] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,4,2,1,5] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,4,2,5,1] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,4,5,1,2] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,4,5,2,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,5,1,2,4] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,5,1,4,2] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,5,2,1,4] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,5,2,4,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,5,4,1,2] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,6,5,4,2,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,2,3,5,6] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,2,3,6,5] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,2,5,3,6] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,2,5,6,3] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,2,6,3,5] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,2,6,5,3] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,3,2,5,6] => [1,3,2,5,6,4] => [1,3,2,6,4,5] => [6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,3,2,6,5] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,3,5,2,6] => [1,3,5,2,6,4] => [1,6,4,2,3,5] => [6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,3,5,6,2] => [1,3,5,6,2,4] => [1,5,2,3,6,4] => [6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,3,6,2,5] => [1,3,6,2,5,4] => [1,5,6,4,2,3] => [6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,3,6,5,2] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,2,3,6] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,2,6,3] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,3,2,6] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,3,6,2] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,6,2,3] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,5,6,3,2] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,2,3,5] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,2,5,3] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,3,2,5] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,3,5,2] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,5,2,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,1,6,5,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,1,3,5,6] => [1,3,5,6,2,4] => [1,5,2,3,6,4] => [6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,1,3,6,5] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,1,5,3,6] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,1,5,6,3] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,1,6,3,5] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,1,6,5,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,3,1,5,6] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,3,1,6,5] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,3,5,1,6] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,3,5,6,1] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,3,6,1,5] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,3,6,5,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,5,1,3,6] => [1,3,6,2,5,4] => [1,5,6,4,2,3] => [6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,5,1,6,3] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,5,3,1,6] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,5,3,6,1] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,5,6,1,3] => [1,3,2,5,6,4] => [1,3,2,6,4,5] => [6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,5,6,3,1] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,6,1,3,5] => [1,3,5,2,6,4] => [1,6,4,2,3,5] => [6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,6,1,5,3] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,6,3,1,5] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,6,3,5,1] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,6,5,1,3] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,2,6,5,3,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,2,5,6] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,2,6,5] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,5,2,6] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,5,6,2] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,6,2,5] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,1,6,5,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,2,1,5,6] => [1,5,6,2,3,4] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,2,1,6,5] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,2,5,1,6] => [1,6,2,5,3,4] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,2,5,6,1] => [1,2,5,6,3,4] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,2,6,1,5] => [1,5,2,6,3,4] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,2,6,5,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,5,1,2,6] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,5,1,6,2] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,5,2,1,6] => [1,6,2,3,5,4] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,5,2,6,1] => [1,2,6,3,5,4] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,5,6,1,2] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,5,6,2,1] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,6,1,2,5] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,6,1,5,2] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,6,2,1,5] => [1,5,2,3,6,4] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,6,2,5,1] => [1,2,5,3,6,4] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,6,5,1,2] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,6,5,2,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,1,2,3,6] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,1,2,6,3] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,1,3,2,6] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,1,3,6,2] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,1,6,2,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,1,6,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,2,1,3,6] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,2,1,6,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,2,3,1,6] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,2,3,6,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,2,6,1,3] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,2,6,3,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,3,1,2,6] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,3,1,6,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,3,2,1,6] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,3,2,6,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,3,6,1,2] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,3,6,2,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,6,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,6,1,3,2] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,6,2,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,6,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,6,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,5,6,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,1,2,3,5] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,1,2,5,3] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,1,3,2,5] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,1,3,5,2] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,1,5,2,3] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,1,5,3,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,2,1,3,5] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,2,1,5,3] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,2,3,1,5] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,2,3,5,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,2,5,1,3] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,2,5,3,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,3,1,2,5] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,3,1,5,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,3,2,1,5] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,3,2,5,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,3,5,1,2] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,3,5,2,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,5,1,2,3] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,5,1,3,2] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,5,2,1,3] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,5,2,3,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,5,3,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[4,6,5,3,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,2,3,4,6] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,2,3,6,4] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,2,4,3,6] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,2,4,6,3] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,2,6,3,4] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,2,6,4,3] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,3,2,4,6] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,3,2,6,4] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,3,4,2,6] => [1,3,4,2,6,5] => [1,4,2,3,6,5] => [6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,3,4,6,2] => [1,3,4,6,2,5] => [1,6,5,2,3,4] => [6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,3,6,2,4] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,3,6,4,2] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,4,2,3,6] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,4,2,6,3] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,4,3,2,6] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,4,3,6,2] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,4,6,2,3] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,4,6,3,2] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,6,2,3,4] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,6,2,4,3] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,6,3,2,4] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,6,3,4,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,6,4,2,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,1,6,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,1,3,4,6] => [1,3,4,6,2,5] => [1,6,5,2,3,4] => [6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,1,3,6,4] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,1,4,3,6] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,1,4,6,3] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,1,6,3,4] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,1,6,4,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,3,1,4,6] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,3,1,6,4] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,3,4,1,6] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,3,4,6,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,3,6,1,4] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,3,6,4,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,4,1,3,6] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,4,1,6,3] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,4,3,1,6] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,4,3,6,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,4,6,1,3] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,4,6,3,1] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,1,3,4] => [1,3,4,2,6,5] => [1,4,2,3,6,5] => [6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,1,4,3] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,3,1,4] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,3,4,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,4,1,3] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,2,6,4,3,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,2,4,6] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,2,6,4] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,4,2,6] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,4,6,2] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,6,2,4] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,1,6,4,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,2,1,4,6] => [1,4,6,2,3,5] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,2,1,6,4] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,2,4,1,6] => [1,6,2,4,3,5] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,2,4,6,1] => [1,2,4,6,3,5] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,2,6,1,4] => [1,4,2,6,3,5] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,2,6,4,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,4,1,2,6] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,4,1,6,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,4,2,1,6] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,4,2,6,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,4,6,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,4,6,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,6,1,2,4] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,6,1,4,2] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,6,2,1,4] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,6,2,4,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,6,4,1,2] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,6,4,2,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,2,3,6] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,2,6,3] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,3,2,6] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,3,6,2] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,6,2,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,1,6,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,2,1,3,6] => [1,3,6,2,4,5] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,2,1,6,3] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,2,3,1,6] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,2,3,6,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,2,6,1,3] => [1,3,2,6,4,5] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,2,6,3,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,3,1,2,6] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,3,1,6,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,3,2,1,6] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,3,2,6,1] => [1,2,6,3,4,5] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,3,6,1,2] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,3,6,2,1] => [1,2,3,6,4,5] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,6,1,2,3] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,6,1,3,2] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,6,2,1,3] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,6,2,3,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,6,3,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,4,6,3,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,1,2,3,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,1,2,4,3] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,1,3,2,4] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,1,3,4,2] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,1,4,2,3] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,1,4,3,2] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,2,1,3,4] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,2,1,4,3] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,2,3,1,4] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,2,3,4,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,2,4,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,2,4,3,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,3,1,2,4] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,3,1,4,2] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,3,2,1,4] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,3,2,4,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,3,4,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,3,4,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,4,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,4,1,3,2] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,4,2,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,4,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,4,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[5,6,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,2,3,4,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,2,3,5,4] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,2,4,3,5] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,2,4,5,3] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,2,5,3,4] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,2,5,4,3] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,3,2,4,5] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,3,2,5,4] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,3,4,2,5] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,3,4,5,2] => [1,3,4,5,2,6] => [1,5,2,3,4,6] => [6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,3,5,2,4] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,3,5,4,2] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,4,2,3,5] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,4,2,5,3] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,4,3,2,5] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,4,3,5,2] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,4,5,2,3] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,4,5,3,2] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,5,2,3,4] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,5,2,4,3] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,5,3,2,4] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,5,3,4,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,5,4,2,3] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,1,5,4,3,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,1,3,4,5] => [1,3,4,5,2,6] => [1,5,2,3,4,6] => [6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,1,3,5,4] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,1,4,3,5] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,1,4,5,3] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,1,5,3,4] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,1,5,4,3] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,1,4,5] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,1,5,4] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,4,1,5] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,4,5,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,5,1,4] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,3,5,4,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,1,3,5] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,1,5,3] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,3,1,5] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,3,5,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,5,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,4,5,3,1] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,1,3,4] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,1,4,3] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,3,1,4] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,3,4,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,4,1,3] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,2,5,4,3,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,2,4,5] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,2,5,4] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,4,2,5] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,4,5,2] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,5,2,4] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,1,5,4,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,2,1,4,5] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,2,1,5,4] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,2,4,1,5] => [1,5,2,4,3,6] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,2,4,5,1] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,2,5,1,4] => [1,4,2,5,3,6] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,2,5,4,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,1,2,5] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,1,5,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,2,1,5] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,2,5,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,5,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,4,5,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,1,2,4] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,1,4,2] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,2,1,4] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,2,4,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,4,1,2] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,5,4,2,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,2,3,5] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,2,5,3] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,3,2,5] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,3,5,2] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,5,2,3] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,1,5,3,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,1,3,5] => [1,3,5,2,4,6] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,1,5,3] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,3,1,5] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,3,5,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,5,1,3] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,2,5,3,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,1,2,5] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,1,5,2] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,2,1,5] => [1,5,2,3,4,6] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,2,5,1] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,5,1,2] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,3,5,2,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,1,3,2] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,2,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,4,5,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,2,3,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,2,4,3] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,3,2,4] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,3,4,2] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,4,2,3] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,1,4,3,2] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,1,3,4] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,1,4,3] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,3,1,4] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,3,4,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,4,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,2,4,3,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,1,2,4] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,1,4,2] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,2,1,4] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,2,4,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,4,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,3,4,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,1,3,2] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,2,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,4,6,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,4,7,6,5] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,5,6,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,5,6,7,4] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,5,7,4,6] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,5,7,6,4] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,6,4,7,5] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,6,5,4,7] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,6,5,7,4] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,6,7,4,5] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,6,7,5,4] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,7,5,4,6] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,7,5,6,4] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,7,6,4,5] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,3,7,6,5,4] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,3,6,7,5] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,3,7,6,5] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,5,3,6,7] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,5,3,7,6] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,5,6,3,7] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,5,6,7,3] => [1,2,4,5,6,7,3] => [1,2,7,3,4,5,6] => [7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,5,7,3,6] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,5,7,6,3] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,6,3,5,7] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,6,3,7,5] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,6,5,3,7] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,6,5,7,3] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,6,7,3,5] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,6,7,5,3] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,7,3,5,6] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,7,3,6,5] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,7,5,3,6] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,7,5,6,3] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,7,6,3,5] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,4,7,6,5,3] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,3,6,4,7] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,3,6,7,4] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,3,7,4,6] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,3,7,6,4] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,4,3,6,7] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,4,3,7,6] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,4,6,3,7] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,4,6,7,3] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,4,7,3,6] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,4,7,6,3] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,6,3,4,7] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,6,3,7,4] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,6,4,3,7] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,6,4,7,3] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,6,7,3,4] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,6,7,4,3] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,7,3,4,6] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,7,3,6,4] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,7,4,3,6] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,7,4,6,3] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,7,6,3,4] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,5,7,6,4,3] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,3,4,7,5] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,3,5,4,7] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,3,5,7,4] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,3,7,4,5] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,3,7,5,4] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,4,3,5,7] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,4,3,7,5] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,4,5,3,7] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,4,5,7,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,4,7,3,5] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,4,7,5,3] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,5,3,4,7] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,5,3,7,4] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,5,4,3,7] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,5,4,7,3] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,5,7,3,4] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,5,7,4,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,7,3,4,5] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,7,3,5,4] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,7,4,3,5] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,7,4,5,3] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,7,5,3,4] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,6,7,5,4,3] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,3,5,4,6] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,3,5,6,4] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,3,6,5,4] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,4,3,5,6] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,4,3,6,5] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,4,5,3,6] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,4,5,6,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,4,6,3,5] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,4,6,5,3] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,5,3,4,6] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,5,3,6,4] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,5,4,3,6] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,5,4,6,3] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,5,6,3,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,5,6,4,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,6,3,4,5] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,6,3,5,4] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,6,4,3,5] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,6,4,5,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,6,5,3,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,2,7,6,5,4,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,4,6,7,5] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,4,7,6,5] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,5,6,4,7] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,5,6,7,4] => [1,3,2,5,6,7,4] => [1,3,2,7,4,5,6] => [7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,5,7,4,6] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,5,7,6,4] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,6,4,7,5] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,6,5,4,7] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,6,5,7,4] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,6,7,4,5] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,6,7,5,4] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,7,4,6,5] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,7,5,4,6] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,7,5,6,4] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,7,6,4,5] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,2,7,6,5,4] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,2,5,6,7] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,2,5,7,6] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,2,6,5,7] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,2,6,7,5] => [1,3,4,2,6,7,5] => [1,4,2,3,7,5,6] => [7,4,6,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,2,7,5,6] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,2,7,6,5] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,5,2,6,7] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,5,2,7,6] => [1,3,4,5,2,7,6] => [1,5,2,3,4,7,6] => [7,3,6,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,5,6,2,7] => [1,3,4,5,6,2,7] => [1,6,2,3,4,5,7] => [7,2,6,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,5,6,7,2] => [1,3,4,5,6,7,2] => [1,7,2,3,4,5,6] => [7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,5,7,2,6] => [1,3,4,5,7,2,6] => [1,7,6,2,3,4,5] => [7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,5,7,6,2] => [1,3,4,5,7,2,6] => [1,7,6,2,3,4,5] => [7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,6,2,5,7] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,6,2,7,5] => [1,3,4,6,2,7,5] => [1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,6,5,2,7] => [1,3,4,6,2,7,5] => [1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,6,5,7,2] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,6,7,2,5] => [1,3,4,6,7,2,5] => [1,6,2,3,4,7,5] => [7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,6,7,5,2] => [1,3,4,6,7,2,5] => [1,6,2,3,4,7,5] => [7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,7,2,5,6] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,7,2,6,5] => [1,3,4,7,2,6,5] => [1,6,7,5,2,3,4] => [7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,7,5,2,6] => [1,3,4,7,2,6,5] => [1,6,7,5,2,3,4] => [7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,7,5,6,2] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,7,6,2,5] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,4,7,6,5,2] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,2,4,6,7] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,2,4,7,6] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,2,6,4,7] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,2,6,7,4] => [1,3,5,2,6,7,4] => [1,7,4,2,3,5,6] => [7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,2,7,4,6] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,2,7,6,4] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,4,2,6,7] => [1,3,5,2,6,7,4] => [1,7,4,2,3,5,6] => [7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,4,2,7,6] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,4,6,2,7] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,4,6,7,2] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,4,7,2,6] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,4,7,6,2] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,6,2,4,7] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,6,2,7,4] => [1,3,5,6,2,7,4] => [1,5,2,3,7,4,6] => [7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,6,4,2,7] => [1,3,5,6,2,7,4] => [1,5,2,3,7,4,6] => [7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,6,4,7,2] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,6,7,2,4] => [1,3,5,6,7,2,4] => [1,7,4,6,2,3,5] => [7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,6,7,4,2] => [1,3,5,6,7,2,4] => [1,7,4,6,2,3,5] => [7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,7,2,4,6] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,7,2,6,4] => [1,3,5,7,2,6,4] => [1,5,2,3,6,7,4] => [7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,7,4,2,6] => [1,3,5,7,2,6,4] => [1,5,2,3,6,7,4] => [7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,7,4,6,2] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,7,6,2,4] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,5,7,6,4,2] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,2,4,5,7] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,2,4,7,5] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,2,5,4,7] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,2,5,7,4] => [1,3,6,2,5,7,4] => [1,5,7,4,2,3,6] => [7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,2,7,4,5] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,2,7,5,4] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,4,2,5,7] => [1,3,6,2,5,7,4] => [1,5,7,4,2,3,6] => [7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,4,2,7,5] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,4,5,2,7] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,4,5,7,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,4,7,2,5] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,4,7,5,2] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,5,2,4,7] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,5,2,7,4] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,5,4,2,7] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,5,4,7,2] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,5,7,2,4] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,5,7,4,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,7,2,4,5] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,7,2,5,4] => [1,3,6,7,2,5,4] => [1,6,5,2,3,7,4] => [7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,7,4,2,5] => [1,3,6,7,2,5,4] => [1,6,5,2,3,7,4] => [7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,7,4,5,2] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,7,5,2,4] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,6,7,5,4,2] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,2,4,5,6] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,2,4,6,5] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,2,5,4,6] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,2,5,6,4] => [1,3,7,2,5,6,4] => [1,5,6,7,4,2,3] => [7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,2,6,4,5] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,2,6,5,4] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,4,2,5,6] => [1,3,7,2,5,6,4] => [1,5,6,7,4,2,3] => [7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,4,2,6,5] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,4,5,2,6] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,4,5,6,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,4,6,2,5] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,4,6,5,2] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,5,2,4,6] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,5,2,6,4] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,5,4,2,6] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,5,4,6,2] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,5,6,2,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,5,6,4,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,6,2,4,5] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,6,2,5,4] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,6,4,2,5] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,6,4,5,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,6,5,2,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,3,7,6,5,4,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,3,6,7,5] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,3,7,6,5] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,5,3,6,7] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,5,3,7,6] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,5,6,3,7] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,5,6,7,3] => [1,4,2,5,6,7,3] => [1,7,3,2,4,5,6] => [7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,5,7,3,6] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,5,7,6,3] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,6,3,5,7] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,6,3,7,5] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,6,5,3,7] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,6,5,7,3] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,6,7,3,5] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,6,7,5,3] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,7,3,5,6] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,7,3,6,5] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,7,5,3,6] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,7,5,6,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,7,6,3,5] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,2,7,6,5,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,2,5,6,7] => [1,4,2,5,6,7,3] => [1,7,3,2,4,5,6] => [7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,2,5,7,6] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,2,6,5,7] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,2,6,7,5] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,2,7,5,6] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,2,7,6,5] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,5,2,6,7] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,5,2,7,6] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,5,6,2,7] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,5,6,7,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,5,7,2,6] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,5,7,6,2] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,6,2,5,7] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,6,2,7,5] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,6,5,2,7] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,6,5,7,2] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,6,7,2,5] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,6,7,5,2] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,7,2,5,6] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,7,2,6,5] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,7,5,2,6] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,7,5,6,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,7,6,2,5] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,3,7,6,5,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,2,3,6,7] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,2,3,7,6] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,2,6,3,7] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,2,6,7,3] => [1,4,5,2,6,7,3] => [1,4,2,7,3,5,6] => [7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,2,7,3,6] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,2,7,6,3] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,3,2,6,7] => [1,4,5,2,6,7,3] => [1,4,2,7,3,5,6] => [7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,3,2,7,6] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,3,6,2,7] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,3,6,7,2] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,3,7,2,6] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,3,7,6,2] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,6,2,3,7] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,6,2,7,3] => [1,4,5,6,2,7,3] => [1,7,3,5,2,4,6] => [7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,6,3,2,7] => [1,4,5,6,2,7,3] => [1,7,3,5,2,4,6] => [7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,6,3,7,2] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,6,7,2,3] => [1,4,5,6,7,2,3] => [1,6,2,4,7,3,5] => [7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,6,7,3,2] => [1,4,5,6,7,2,3] => [1,6,2,4,7,3,5] => [7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,7,2,3,6] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,7,2,6,3] => [1,4,5,7,2,6,3] => [1,6,7,3,5,2,4] => [7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,7,3,2,6] => [1,4,5,7,2,6,3] => [1,6,7,3,5,2,4] => [7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,7,3,6,2] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,7,6,2,3] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,5,7,6,3,2] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,2,3,5,7] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,2,3,7,5] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,2,5,3,7] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,2,5,7,3] => [1,4,6,2,5,7,3] => [1,4,2,5,7,3,6] => [7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,2,7,3,5] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,2,7,5,3] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,3,2,5,7] => [1,4,6,2,5,7,3] => [1,4,2,5,7,3,6] => [7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,3,2,7,5] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,3,5,2,7] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,3,5,7,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,3,7,2,5] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,3,7,5,2] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,5,2,3,7] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,5,2,7,3] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,5,3,2,7] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,5,3,7,2] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,5,7,2,3] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,5,7,3,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,7,2,3,5] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,7,2,5,3] => [1,4,6,7,2,5,3] => [1,7,3,6,5,2,4] => [7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,7,3,2,5] => [1,4,6,7,2,5,3] => [1,7,3,6,5,2,4] => [7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,7,3,5,2] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,7,5,2,3] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,6,7,5,3,2] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,2,3,5,6] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,2,3,6,5] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,2,5,3,6] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,2,5,6,3] => [1,4,7,2,5,6,3] => [1,4,2,5,6,7,3] => [7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,2,6,3,5] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,2,6,5,3] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,3,2,5,6] => [1,4,7,2,5,6,3] => [1,4,2,5,6,7,3] => [7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,3,2,6,5] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,3,5,2,6] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,3,5,6,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,3,6,2,5] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,3,6,5,2] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,5,2,3,6] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,5,2,6,3] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,5,3,2,6] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,5,3,6,2] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,5,6,2,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,5,6,3,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,6,2,3,5] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,6,2,5,3] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,6,3,2,5] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,6,3,5,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,6,5,2,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,4,7,6,5,3,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,3,6,4,7] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,3,6,7,4] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,3,7,4,6] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,3,7,6,4] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,4,3,6,7] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,4,3,7,6] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,4,6,3,7] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,4,6,7,3] => [1,5,2,4,6,7,3] => [1,4,7,3,2,5,6] => [7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,4,7,3,6] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,4,7,6,3] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,6,3,4,7] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,6,3,7,4] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,6,4,3,7] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,6,4,7,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,6,7,3,4] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,6,7,4,3] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,7,3,4,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,7,3,6,4] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,7,4,3,6] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,7,4,6,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,7,6,3,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,2,7,6,4,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,4,6,7] => [1,5,2,4,6,7,3] => [1,4,7,3,2,5,6] => [7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,4,7,6] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,6,4,7] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,6,7,4] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,7,4,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,2,7,6,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,4,2,6,7] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,4,2,7,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,4,6,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,4,6,7,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,4,7,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,4,7,6,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,6,2,4,7] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,6,2,7,4] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,6,4,2,7] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,6,4,7,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,6,7,2,4] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,6,7,4,2] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,7,2,4,6] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,7,2,6,4] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,7,4,2,6] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,7,4,6,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,7,6,2,4] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,3,7,6,4,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,2,3,6,7] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,2,3,7,6] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,2,6,3,7] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,2,6,7,3] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,2,7,3,6] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,2,7,6,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,3,2,6,7] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,3,2,7,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,3,6,2,7] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,3,6,7,2] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,3,7,2,6] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,3,7,6,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,6,2,3,7] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,6,2,7,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,6,3,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,6,3,7,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,6,7,2,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,6,7,3,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,7,2,3,6] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,7,2,6,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,7,3,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,7,3,6,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,7,6,2,3] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,4,7,6,3,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,2,3,4,7] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,2,3,7,4] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,2,4,3,7] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,2,4,7,3] => [1,5,6,2,4,7,3] => [1,5,4,2,7,3,6] => [7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,2,7,3,4] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,2,7,4,3] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,3,2,4,7] => [1,5,6,2,4,7,3] => [1,5,4,2,7,3,6] => [7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,3,2,7,4] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,3,4,2,7] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,3,4,7,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,3,7,2,4] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,3,7,4,2] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,4,2,3,7] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,4,2,7,3] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,4,3,2,7] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,4,3,7,2] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,4,7,2,3] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,4,7,3,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,7,2,3,4] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,7,2,4,3] => [1,5,6,7,2,4,3] => [1,5,2,7,3,6,4] => [7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,7,3,2,4] => [1,5,6,7,2,4,3] => [1,5,2,7,3,6,4] => [7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,7,3,4,2] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,7,4,2,3] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,6,7,4,3,2] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,2,3,4,6] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,2,3,6,4] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,2,4,3,6] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,2,4,6,3] => [1,5,7,2,4,6,3] => [1,5,4,2,6,7,3] => [7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,2,6,3,4] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,2,6,4,3] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,3,2,4,6] => [1,5,7,2,4,6,3] => [1,5,4,2,6,7,3] => [7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,3,2,6,4] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,3,4,2,6] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,3,4,6,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,3,6,2,4] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,3,6,4,2] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,4,2,3,6] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,4,2,6,3] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,4,3,2,6] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,4,3,6,2] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,4,6,2,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,4,6,3,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,6,2,3,4] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,6,2,4,3] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,6,3,2,4] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,6,3,4,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,6,4,2,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,5,7,6,4,3,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,3,4,7,5] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,3,5,4,7] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,3,5,7,4] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,3,7,4,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,3,7,5,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,4,3,5,7] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,4,3,7,5] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,4,5,3,7] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,4,5,7,3] => [1,6,2,4,5,7,3] => [1,4,5,7,3,2,6] => [7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,4,7,3,5] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,4,7,5,3] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,5,3,4,7] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,5,3,7,4] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,5,4,3,7] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,5,4,7,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,5,7,3,4] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,5,7,4,3] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,7,3,4,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,7,3,5,4] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,7,4,3,5] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,7,4,5,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,7,5,3,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,2,7,5,4,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,2,4,5,7] => [1,6,2,4,5,7,3] => [1,4,5,7,3,2,6] => [7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,2,4,7,5] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,2,5,4,7] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,2,5,7,4] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,2,7,4,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,2,7,5,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,4,2,5,7] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,4,2,7,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,4,5,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,4,5,7,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,4,7,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,4,7,5,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,5,2,4,7] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,5,2,7,4] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,5,4,2,7] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,5,4,7,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,5,7,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,5,7,4,2] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,7,2,4,5] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,7,2,5,4] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,7,4,2,5] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,7,4,5,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,7,5,2,4] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,3,7,5,4,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,2,3,5,7] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,2,3,7,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,2,5,3,7] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,2,5,7,3] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,2,7,3,5] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,2,7,5,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,3,2,5,7] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,3,2,7,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,3,5,2,7] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,3,5,7,2] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,3,7,2,5] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,3,7,5,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,5,2,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,5,2,7,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,5,3,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,5,3,7,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,5,7,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,5,7,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,7,2,3,5] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,7,2,5,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,7,3,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,7,3,5,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,7,5,2,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,4,7,5,3,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,2,3,4,7] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,2,3,7,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,2,4,3,7] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,2,4,7,3] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,2,7,3,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,2,7,4,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,3,2,4,7] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,3,2,7,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,3,4,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,3,4,7,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,3,7,2,4] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,3,7,4,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,4,2,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,4,2,7,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,4,3,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,4,3,7,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,4,7,2,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,4,7,3,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,7,2,3,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,7,2,4,3] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,7,3,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,7,3,4,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,7,4,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,5,7,4,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,2,3,4,5] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,2,3,5,4] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,2,4,3,5] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,2,4,5,3] => [1,6,7,2,4,5,3] => [1,6,5,4,2,7,3] => [7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,2,5,3,4] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,2,5,4,3] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,3,2,4,5] => [1,6,7,2,4,5,3] => [1,6,5,4,2,7,3] => [7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,3,2,5,4] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,3,4,2,5] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,3,4,5,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,3,5,2,4] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,3,5,4,2] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,4,2,3,5] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,4,2,5,3] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,4,3,2,5] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,4,3,5,2] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,4,5,2,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,4,5,3,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,5,2,3,4] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,5,2,4,3] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,5,3,2,4] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,5,3,4,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,5,4,2,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,6,7,5,4,3,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,3,4,6,5] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,3,5,4,6] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,3,5,6,4] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,3,6,4,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,3,6,5,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,4,3,5,6] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,4,3,6,5] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,4,5,3,6] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,4,5,6,3] => [1,7,2,4,5,6,3] => [1,4,5,6,7,3,2] => [7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,4,6,3,5] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,4,6,5,3] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,5,3,4,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,5,3,6,4] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,5,4,3,6] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,5,4,6,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,5,6,3,4] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,5,6,4,3] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,6,3,4,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,6,3,5,4] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,6,4,3,5] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,6,4,5,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,6,5,3,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,2,6,5,4,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,2,4,5,6] => [1,7,2,4,5,6,3] => [1,4,5,6,7,3,2] => [7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,2,4,6,5] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,2,5,4,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,2,5,6,4] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,2,6,4,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,2,6,5,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,4,2,5,6] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,4,2,6,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,4,5,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,4,5,6,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,4,6,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,4,6,5,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,5,2,4,6] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,5,2,6,4] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,5,4,2,6] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,5,4,6,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,5,6,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,5,6,4,2] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,2,4,5] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,2,5,4] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,4,2,5] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,4,5,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,5,2,4] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,3,6,5,4,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,2,3,5,6] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,2,3,6,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,2,5,3,6] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,2,5,6,3] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,2,6,3,5] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,2,6,5,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,3,2,5,6] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,3,2,6,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,3,5,2,6] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,3,5,6,2] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,3,6,2,5] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,3,6,5,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,5,2,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,5,2,6,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,5,3,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,5,3,6,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,5,6,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,5,6,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,6,2,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,6,2,5,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,6,3,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,6,3,5,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,6,5,2,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,4,6,5,3,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,2,3,4,6] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,2,3,6,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,2,4,3,6] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,2,4,6,3] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,2,6,3,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,2,6,4,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,3,2,4,6] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,3,2,6,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,3,4,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,3,4,6,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,3,6,2,4] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,3,6,4,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,4,2,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,4,2,6,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,4,3,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,4,3,6,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,4,6,2,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,4,6,3,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,6,2,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,6,2,4,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,6,3,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,6,3,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,6,4,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,5,6,4,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,2,3,4,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,2,3,5,4] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,2,4,3,5] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,2,4,5,3] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,2,5,3,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,2,5,4,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,3,2,4,5] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,3,2,5,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,3,4,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,3,4,5,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,3,5,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,3,5,4,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,4,2,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,4,2,5,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,4,3,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,4,3,5,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,4,5,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,4,5,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,5,2,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,5,2,4,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,5,3,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,5,3,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,5,4,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,7,6,5,4,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,4,5,6,7] => [1,3,4,5,6,7,2] => [1,7,2,3,4,5,6] => [7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,4,5,7,6] => [1,3,4,5,7,2,6] => [1,7,6,2,3,4,5] => [7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,4,6,5,7] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,4,6,7,5] => [1,3,4,6,7,2,5] => [1,6,2,3,4,7,5] => [7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,4,7,5,6] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,4,7,6,5] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,5,4,6,7] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,5,4,7,6] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,5,6,4,7] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,5,6,7,4] => [1,3,5,6,7,2,4] => [1,7,4,6,2,3,5] => [7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,5,7,4,6] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,5,7,6,4] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,6,4,5,7] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,6,4,7,5] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,6,5,4,7] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,6,5,7,4] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,6,7,4,5] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,6,7,5,4] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,7,4,5,6] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,7,4,6,5] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,7,5,4,6] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,7,5,6,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,7,6,4,5] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,3,7,6,5,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,3,5,6,7] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,3,5,7,6] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,3,6,5,7] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,3,6,7,5] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,3,7,5,6] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,3,7,6,5] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,5,3,6,7] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,5,3,7,6] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,5,6,3,7] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,5,6,7,3] => [1,4,5,6,7,2,3] => [1,6,2,4,7,3,5] => [7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,5,7,3,6] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,5,7,6,3] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,6,3,5,7] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,6,3,7,5] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,6,5,3,7] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,6,5,7,3] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,6,7,3,5] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,6,7,5,3] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,7,3,5,6] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,7,3,6,5] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,7,5,3,6] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,7,5,6,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,7,6,3,5] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,4,7,6,5,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,3,4,6,7] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,3,4,7,6] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,3,6,4,7] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,3,6,7,4] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,3,7,4,6] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,3,7,6,4] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,4,3,6,7] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,4,3,7,6] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,4,6,3,7] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,4,6,7,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,4,7,3,6] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,4,7,6,3] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,6,3,4,7] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,6,3,7,4] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,6,4,3,7] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,6,4,7,3] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,6,7,3,4] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,6,7,4,3] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,7,3,4,6] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,7,3,6,4] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,7,4,3,6] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,7,4,6,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,7,6,3,4] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,5,7,6,4,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,3,4,5,7] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,3,4,7,5] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,3,5,4,7] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,3,5,7,4] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,3,7,4,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,3,7,5,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,4,3,5,7] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,4,3,7,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,4,5,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,4,5,7,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,4,7,3,5] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,4,7,5,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,5,3,4,7] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,5,3,7,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,5,4,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,5,4,7,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,5,7,3,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,5,7,4,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,3,4,5] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,3,5,4] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,4,3,5] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,4,5,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,5,3,4] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,6,7,5,4,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,3,4,5,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,3,4,6,5] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,3,5,4,6] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,3,5,6,4] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,3,6,4,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,3,6,5,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,4,3,5,6] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,4,3,6,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,4,5,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,4,5,6,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,4,6,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,4,6,5,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,5,3,4,6] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,5,3,6,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,5,4,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,5,4,6,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,5,6,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,5,6,4,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,6,3,4,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,6,3,5,4] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,6,4,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,6,4,5,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,6,5,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,1,7,6,5,4,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => [1,6,2,4,7,3,5] => [7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,4,6,5,7] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,4,6,7,5] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,4,7,5,6] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,4,7,6,5] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,5,4,6,7] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,5,4,7,6] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,5,6,4,7] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,5,6,7,4] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,5,7,4,6] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,5,7,6,4] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,6,4,5,7] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,6,4,7,5] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,6,5,4,7] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,6,5,7,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,6,7,4,5] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,6,7,5,4] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,7,4,5,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,7,4,6,5] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,7,5,4,6] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,7,5,6,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,7,6,4,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,1,7,6,5,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,1,5,6,7] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,1,5,7,6] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,1,6,5,7] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,1,6,7,5] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,1,7,5,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,1,7,6,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,5,1,6,7] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,5,1,7,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,5,6,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,5,7,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,6,1,5,7] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,6,1,7,5] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,6,5,1,7] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,6,7,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,7,1,5,6] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,7,1,6,5] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,7,5,1,6] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,7,6,1,5] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,1,4,6,7] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,1,4,7,6] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,1,6,4,7] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,1,6,7,4] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,1,7,4,6] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,1,7,6,4] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,4,1,6,7] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,4,1,7,6] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,4,6,1,7] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,4,7,1,6] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,6,1,4,7] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,6,1,7,4] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,6,4,1,7] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,7,1,6,4] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,7,4,1,6] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,1,4,7,5] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,1,5,4,7] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,1,5,7,4] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,1,7,4,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,1,7,5,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,4,1,5,7] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,4,1,7,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,4,5,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,4,7,1,5] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,5,1,4,7] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,5,1,7,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,5,4,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,7,1,5,4] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,7,4,1,5] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,1,5,4,6] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,1,5,6,4] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,1,6,4,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,1,6,5,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,4,1,5,6] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,4,1,6,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,4,5,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,4,6,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,5,1,6,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,5,4,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,6,1,5,4] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,6,4,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,3,5,6,7] => [1,3,5,6,7,2,4] => [1,7,4,6,2,3,5] => [7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,3,6,7,5] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,3,7,5,6] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,3,7,6,5] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,5,3,6,7] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,5,3,7,6] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,5,6,3,7] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,5,6,7,3] => [1,5,6,7,2,4,3] => [1,5,2,7,3,6,4] => [7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,5,7,3,6] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,5,7,6,3] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,6,3,5,7] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,6,3,7,5] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,6,5,3,7] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,6,5,7,3] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,6,7,3,5] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,6,7,5,3] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,7,3,5,6] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,7,3,6,5] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,7,5,3,6] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,7,5,6,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,7,6,3,5] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,1,7,6,5,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,1,5,6,7] => [1,5,6,7,2,4,3] => [1,5,2,7,3,6,4] => [7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,1,5,7,6] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,1,6,5,7] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,1,6,7,5] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,1,7,5,6] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,1,7,6,5] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,5,1,6,7] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,5,1,7,6] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,5,6,1,7] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,5,7,1,6] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,6,1,5,7] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,6,1,7,5] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,6,5,1,7] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,6,7,1,5] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,7,1,5,6] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,7,1,6,5] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,7,5,1,6] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,7,6,1,5] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,1,6,3,7] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,1,6,7,3] => [1,6,7,2,4,5,3] => [1,6,5,4,2,7,3] => [7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,1,7,3,6] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,1,7,6,3] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,3,1,6,7] => [1,6,7,2,4,5,3] => [1,6,5,4,2,7,3] => [7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,3,1,7,6] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,3,6,1,7] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,3,7,1,6] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,6,1,7,3] => [1,7,2,4,5,6,3] => [1,4,5,6,7,3,2] => [7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,6,3,1,7] => [1,7,2,4,5,6,3] => [1,4,5,6,7,3,2] => [7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => [1,2,7,3,4,5,6] => [7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,7,1,6,3] => [1,6,2,4,5,7,3] => [1,4,5,7,3,2,6] => [7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,7,3,1,6] => [1,6,2,4,5,7,3] => [1,4,5,7,3,2,6] => [7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,1,5,3,7] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,1,5,7,3] => [1,5,7,2,4,6,3] => [1,5,4,2,6,7,3] => [7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,1,7,3,5] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,1,7,5,3] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,3,1,5,7] => [1,5,7,2,4,6,3] => [1,5,4,2,6,7,3] => [7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,3,1,7,5] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,3,5,1,7] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,3,7,1,5] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,5,1,7,3] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,5,3,1,7] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,7,1,5,3] => [1,5,2,4,6,7,3] => [1,4,7,3,2,5,6] => [7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,7,3,1,5] => [1,5,2,4,6,7,3] => [1,4,7,3,2,5,6] => [7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,1,5,3,6] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,1,5,6,3] => [1,5,6,2,4,7,3] => [1,5,4,2,7,3,6] => [7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,1,6,3,5] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,1,6,5,3] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,3,1,5,6] => [1,5,6,2,4,7,3] => [1,5,4,2,7,3,6] => [7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,3,1,6,5] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,3,5,1,6] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,3,6,1,5] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,5,1,6,3] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,5,3,1,6] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,6,1,5,3] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,6,3,1,5] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,3,4,6,7] => [1,3,4,6,7,2,5] => [1,6,2,3,4,7,5] => [7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,3,4,7,6] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => [1,6,5,2,3,7,4] => [7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,4,3,6,7] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,4,3,7,6] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,4,6,7,3] => [1,4,6,7,2,5,3] => [1,7,3,6,5,2,4] => [7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,4,7,3,6] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,4,7,6,3] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,6,3,4,7] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,6,3,7,4] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,6,4,3,7] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,6,4,7,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,6,7,3,4] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,6,7,4,3] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,7,3,4,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,7,3,6,4] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,7,4,3,6] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,7,4,6,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,7,6,3,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,1,7,6,4,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,1,4,6,7] => [1,4,6,7,2,5,3] => [1,7,3,6,5,2,4] => [7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,1,4,7,6] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,1,6,4,7] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,1,6,7,4] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,1,7,4,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,1,7,6,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,4,1,6,7] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,4,1,7,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,4,6,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,4,7,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,6,1,4,7] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,6,1,7,4] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,6,4,1,7] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,7,1,6,4] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,7,4,1,6] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => [1,6,5,2,3,7,4] => [7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,1,6,3,7] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,1,6,7,3] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,1,7,3,6] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,1,7,6,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,3,1,6,7] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,3,1,7,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,3,6,1,7] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,3,7,1,6] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,6,1,7,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,6,3,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,7,1,6,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,7,3,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => [1,5,6,7,4,2,3] => [7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,1,4,7,3] => [1,4,7,2,5,6,3] => [1,4,2,5,6,7,3] => [7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,1,7,3,4] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,1,7,4,3] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,3,1,4,7] => [1,4,7,2,5,6,3] => [1,4,2,5,6,7,3] => [7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,3,1,7,4] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,3,4,1,7] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => [1,5,6,7,4,2,3] => [7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,4,1,7,3] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,4,3,1,7] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => [1,7,3,2,4,5,6] => [7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => [1,7,3,2,4,5,6] => [7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => [1,3,2,7,4,5,6] => [7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => [1,5,7,4,2,3,6] => [7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => [1,4,2,5,7,3,6] => [7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,1,6,3,4] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,1,6,4,3] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => [1,4,2,5,7,3,6] => [7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,3,1,6,4] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,3,4,1,6] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => [1,5,7,4,2,3,6] => [7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,4,1,6,3] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,4,3,1,6] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,3,4,5,7] => [1,3,4,5,7,2,6] => [1,7,6,2,3,4,5] => [7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => [1,6,7,5,2,3,4] => [7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,3,5,4,7] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => [1,5,2,3,6,7,4] => [7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,4,3,5,7] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,4,3,7,5] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,4,5,3,7] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => [1,6,7,3,5,2,4] => [7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,4,7,3,5] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,4,7,5,3] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,5,3,4,7] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,5,3,7,4] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,5,4,3,7] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,5,4,7,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,5,7,3,4] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,5,7,4,3] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,7,3,4,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,7,3,5,4] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,7,4,3,5] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,7,4,5,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,7,5,3,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,1,7,5,4,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => [1,6,7,3,5,2,4] => [7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,1,4,7,5] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,1,5,4,7] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,1,5,7,4] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,1,7,4,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,1,7,5,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,4,1,5,7] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,4,1,7,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,4,5,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,4,7,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,5,1,4,7] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,5,1,7,4] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,5,4,1,7] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,7,1,5,4] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,7,4,1,5] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => [1,5,2,3,6,7,4] => [7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,1,5,3,7] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,1,5,7,3] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,1,7,3,5] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,1,7,5,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,3,1,5,7] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,3,1,7,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,3,5,1,7] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,3,7,1,5] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,5,1,7,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,5,3,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,7,1,5,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,7,3,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => [1,6,7,5,2,3,4] => [7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,1,4,3,7] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,1,4,7,3] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,1,7,3,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,1,7,4,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,3,1,4,7] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,3,1,7,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,3,4,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,4,1,7,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,4,3,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => [1,7,4,2,3,5,6] => [7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => [1,4,2,7,3,5,6] => [7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,1,5,3,4] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,1,5,4,3] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => [1,4,2,7,3,5,6] => [7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,3,1,5,4] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,3,4,1,5] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => [1,7,4,2,3,5,6] => [7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,4,1,5,3] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,4,3,1,5] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => [1,4,2,3,7,5,6] => [7,4,6,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,3,4,5,6] => [1,3,4,5,6,2,7] => [1,6,2,3,4,5,7] => [7,2,6,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,3,4,6,5] => [1,3,4,6,2,7,5] => [1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,3,5,4,6] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,3,5,6,4] => [1,3,5,6,2,7,4] => [1,5,2,3,7,4,6] => [7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,3,6,4,5] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,3,6,5,4] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,4,3,5,6] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,4,3,6,5] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,4,5,3,6] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,4,5,6,3] => [1,4,5,6,2,7,3] => [1,7,3,5,2,4,6] => [7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,4,6,3,5] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,4,6,5,3] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,5,3,4,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,5,3,6,4] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,5,4,3,6] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,5,4,6,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,5,6,3,4] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,5,6,4,3] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,6,3,4,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,6,3,5,4] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,6,4,3,5] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,6,4,5,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,6,5,3,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,1,6,5,4,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,1,4,5,6] => [1,4,5,6,2,7,3] => [1,7,3,5,2,4,6] => [7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,1,4,6,5] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,1,5,4,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,1,5,6,4] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,1,6,4,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,1,6,5,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,4,1,5,6] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,4,1,6,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,4,5,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,4,6,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,5,1,4,6] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,5,1,6,4] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,5,4,1,6] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,5,6,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,6,1,4,5] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,6,1,5,4] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,6,4,1,5] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,6,5,1,4] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,1,3,5,6] => [1,3,5,6,2,7,4] => [1,5,2,3,7,4,6] => [7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,1,3,6,5] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,1,5,3,6] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,1,5,6,3] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,1,6,3,5] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,1,6,5,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,3,1,5,6] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,3,1,6,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,3,5,1,6] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,3,6,1,5] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,5,1,3,6] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,5,1,6,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,5,3,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,6,1,3,5] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,6,1,5,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,6,3,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,1,3,4,6] => [1,3,4,6,2,7,5] => [1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,1,3,6,4] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,1,4,3,6] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,1,4,6,3] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,1,6,3,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,1,6,4,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,3,1,4,6] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,3,1,6,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,3,4,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,3,6,1,4] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,4,1,3,6] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,4,1,6,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,4,3,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,6,1,3,4] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,6,1,4,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,6,3,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,1,3,4,5] => [1,3,4,5,2,7,6] => [1,5,2,3,4,7,6] => [7,3,6,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,1,3,5,4] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,1,4,3,5] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,1,4,5,3] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,1,5,3,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,1,5,4,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,3,1,4,5] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,3,1,5,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,3,4,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,3,5,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,4,1,3,5] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,4,1,5,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,4,3,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,5,1,3,4] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,5,1,4,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,5,3,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,4,5,6,7] => [1,2,4,5,6,7,3] => [1,2,7,3,4,5,6] => [7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,4,5,7,6] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,4,6,5,7] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,4,6,7,5] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,4,7,5,6] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,4,7,6,5] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,5,4,6,7] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,5,4,7,6] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,5,6,4,7] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,5,6,7,4] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,5,7,4,6] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,5,7,6,4] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,6,4,5,7] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,6,4,7,5] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,6,5,4,7] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,6,5,7,4] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,6,7,4,5] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,6,7,5,4] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,7,4,5,6] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,7,4,6,5] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,7,5,4,6] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,7,5,6,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,7,6,4,5] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,2,7,6,5,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,2,5,6,7] => [1,4,2,5,6,7,3] => [1,7,3,2,4,5,6] => [7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,2,5,7,6] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,2,6,5,7] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,2,6,7,5] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,2,7,5,6] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,2,7,6,5] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,5,2,6,7] => [1,4,5,2,6,7,3] => [1,4,2,7,3,5,6] => [7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,5,2,7,6] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,5,6,2,7] => [1,4,5,6,2,7,3] => [1,7,3,5,2,4,6] => [7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,5,6,7,2] => [1,4,5,6,7,2,3] => [1,6,2,4,7,3,5] => [7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,5,7,2,6] => [1,4,5,7,2,6,3] => [1,6,7,3,5,2,4] => [7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,5,7,6,2] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,6,2,5,7] => [1,4,6,2,5,7,3] => [1,4,2,5,7,3,6] => [7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,6,2,7,5] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,6,5,2,7] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,6,5,7,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,6,7,2,5] => [1,4,6,7,2,5,3] => [1,7,3,6,5,2,4] => [7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,6,7,5,2] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,7,2,5,6] => [1,4,7,2,5,6,3] => [1,4,2,5,6,7,3] => [7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,7,2,6,5] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,7,5,2,6] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,7,5,6,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,7,6,2,5] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,4,7,6,5,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,2,4,6,7] => [1,5,2,4,6,7,3] => [1,4,7,3,2,5,6] => [7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,2,4,7,6] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,2,6,4,7] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,2,6,7,4] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,2,7,4,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,2,7,6,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,4,2,6,7] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,4,2,7,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,4,6,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,4,6,7,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,4,7,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,4,7,6,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,6,2,4,7] => [1,5,6,2,4,7,3] => [1,5,4,2,7,3,6] => [7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,6,2,7,4] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,6,4,2,7] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,6,4,7,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,6,7,2,4] => [1,5,6,7,2,4,3] => [1,5,2,7,3,6,4] => [7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,6,7,4,2] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,7,2,4,6] => [1,5,7,2,4,6,3] => [1,5,4,2,6,7,3] => [7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,7,2,6,4] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,7,4,2,6] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,7,4,6,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,7,6,2,4] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,5,7,6,4,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,4,5,7] => [1,6,2,4,5,7,3] => [1,4,5,7,3,2,6] => [7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,4,7,5] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,5,4,7] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,5,7,4] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,7,4,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,2,7,5,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,4,2,5,7] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,4,2,7,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,4,5,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,4,5,7,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,4,7,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,4,7,5,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,5,2,4,7] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,5,2,7,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,5,4,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,5,4,7,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,5,7,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,5,7,4,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,7,2,4,5] => [1,6,7,2,4,5,3] => [1,6,5,4,2,7,3] => [7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,7,2,5,4] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,7,4,2,5] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,7,4,5,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,7,5,2,4] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,6,7,5,4,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,2,4,5,6] => [1,7,2,4,5,6,3] => [1,4,5,6,7,3,2] => [7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,2,4,6,5] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,2,5,4,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,2,5,6,4] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,2,6,4,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,2,6,5,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,2,5,6] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,2,6,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,5,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,5,6,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,6,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,4,6,5,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,2,4,6] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,2,6,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,4,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,4,6,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,6,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,5,6,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,2,4,5] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,2,5,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,4,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,4,5,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,5,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,1,7,6,5,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,4,5,6,7] => [1,4,5,6,7,2,3] => [1,6,2,4,7,3,5] => [7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,4,5,7,6] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,4,6,5,7] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,4,6,7,5] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,4,7,5,6] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,4,7,6,5] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,5,4,6,7] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,5,4,7,6] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,5,6,4,7] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,5,6,7,4] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,5,7,4,6] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,5,7,6,4] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,6,4,5,7] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,6,4,7,5] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,6,5,4,7] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,6,5,7,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,6,7,4,5] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,6,7,5,4] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,7,4,5,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,7,4,6,5] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,7,5,4,6] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,7,5,6,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,7,6,4,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,1,7,6,5,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,1,5,6,7] => [1,5,6,7,2,4,3] => [1,5,2,7,3,6,4] => [7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,1,5,7,6] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,1,6,5,7] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,1,6,7,5] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,1,7,5,6] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,1,7,6,5] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,5,1,6,7] => [1,6,7,2,4,5,3] => [1,6,5,4,2,7,3] => [7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,5,1,7,6] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,5,6,1,7] => [1,7,2,4,5,6,3] => [1,4,5,6,7,3,2] => [7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,5,6,7,1] => [1,2,4,5,6,7,3] => [1,2,7,3,4,5,6] => [7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,5,7,1,6] => [1,6,2,4,5,7,3] => [1,4,5,7,3,2,6] => [7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,5,7,6,1] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,6,1,5,7] => [1,5,7,2,4,6,3] => [1,5,4,2,6,7,3] => [7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,6,1,7,5] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,6,5,1,7] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,6,5,7,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,6,7,1,5] => [1,5,2,4,6,7,3] => [1,4,7,3,2,5,6] => [7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,6,7,5,1] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,7,1,5,6] => [1,5,6,2,4,7,3] => [1,5,4,2,7,3,6] => [7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,7,1,6,5] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,7,5,1,6] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,7,5,6,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,7,6,1,5] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,4,7,6,5,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,4,6,7] => [1,4,6,7,2,5,3] => [1,7,3,6,5,2,4] => [7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,4,7,6] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,6,4,7] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,6,7,4] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,7,4,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,1,7,6,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,4,1,6,7] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,4,1,7,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,4,6,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,4,6,7,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,4,7,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,4,7,6,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,6,1,4,7] => [1,4,7,2,5,6,3] => [1,4,2,5,6,7,3] => [7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,6,1,7,4] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,6,4,1,7] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,6,4,7,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,6,7,1,4] => [1,4,2,5,6,7,3] => [1,7,3,2,4,5,6] => [7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,6,7,4,1] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,7,1,4,6] => [1,4,6,2,5,7,3] => [1,4,2,5,7,3,6] => [7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,7,1,6,4] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,7,4,1,6] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,7,4,6,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,7,6,1,4] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,5,7,6,4,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,1,4,5,7] => [1,4,5,7,2,6,3] => [1,6,7,3,5,2,4] => [7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,1,4,7,5] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,1,5,4,7] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,1,5,7,4] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,1,7,4,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,1,7,5,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,4,1,5,7] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,4,1,7,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,4,5,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,4,5,7,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,4,7,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,4,7,5,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,5,1,4,7] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,5,1,7,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,5,4,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,5,4,7,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,5,7,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,5,7,4,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,7,1,4,5] => [1,4,5,2,6,7,3] => [1,4,2,7,3,5,6] => [7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,7,1,5,4] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,7,4,1,5] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,7,4,5,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,7,5,1,4] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,6,7,5,4,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,1,4,5,6] => [1,4,5,6,2,7,3] => [1,7,3,5,2,4,6] => [7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,1,4,6,5] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,1,5,4,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,1,5,6,4] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,1,6,4,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,1,6,5,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,4,1,5,6] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,4,1,6,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,4,5,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,4,5,6,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,4,6,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,4,6,5,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,5,1,4,6] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,5,1,6,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,5,4,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,5,4,6,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,5,6,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,5,6,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,6,1,4,5] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,6,1,5,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,6,4,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,6,4,5,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,6,5,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,2,7,6,5,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,2,5,6,7] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,2,5,7,6] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,2,6,5,7] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,2,6,7,5] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,2,7,5,6] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,2,7,6,5] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,5,2,6,7] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,5,2,7,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,5,6,2,7] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,5,6,7,2] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,5,7,2,6] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,5,7,6,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,6,2,5,7] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,6,2,7,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,6,5,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,6,5,7,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,6,7,2,5] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,6,7,5,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,7,2,5,6] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,7,2,6,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,7,5,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,7,5,6,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,7,6,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,1,7,6,5,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,1,5,6,7] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,1,5,7,6] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,1,6,5,7] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,1,6,7,5] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,1,7,5,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,1,7,6,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,5,1,6,7] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,5,1,7,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,5,6,1,7] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,5,6,7,1] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,5,7,1,6] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,5,7,6,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,6,1,5,7] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,6,1,7,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,6,5,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,6,5,7,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,6,7,1,5] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,6,7,5,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,7,1,5,6] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,7,1,6,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,7,5,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,7,5,6,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,7,6,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,2,7,6,5,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,1,2,6,7] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,1,2,7,6] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,1,6,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,1,6,7,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,1,7,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,1,7,6,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,2,1,6,7] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,2,1,7,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,2,6,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,2,6,7,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,2,7,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,2,7,6,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,6,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,6,1,7,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,6,2,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,6,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,6,7,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,6,7,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,7,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,7,1,6,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,7,2,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,7,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,7,6,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,5,7,6,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,1,2,5,7] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,1,2,7,5] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,1,5,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,1,5,7,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,1,7,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,1,7,5,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,2,1,5,7] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,2,1,7,5] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,2,5,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,2,5,7,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,2,7,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,2,7,5,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,5,1,2,7] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,5,1,7,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,5,2,1,7] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,5,2,7,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,5,7,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,5,7,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,7,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,7,1,5,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,7,2,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,7,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,7,5,1,2] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,6,7,5,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,1,2,5,6] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,1,2,6,5] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,1,5,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,1,5,6,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,1,6,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,1,6,5,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,2,1,5,6] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,2,1,6,5] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,2,5,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,2,5,6,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,2,6,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,2,6,5,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,5,1,2,6] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,5,1,6,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,5,2,1,6] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,5,2,6,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,5,6,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,5,6,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,6,1,2,5] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,6,1,5,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,6,2,1,5] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,6,2,5,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,6,5,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,4,7,6,5,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,2,4,6,7] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,2,4,7,6] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,2,6,4,7] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,2,6,7,4] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,2,7,4,6] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,2,7,6,4] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,2,6,7] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,2,7,6] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,6,2,7] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,6,7,2] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,7,2,6] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,4,7,6,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,6,2,4,7] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,6,2,7,4] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,6,4,2,7] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,6,4,7,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,6,7,2,4] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,6,7,4,2] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,7,2,4,6] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,7,2,6,4] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,7,4,2,6] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,7,4,6,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,7,6,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,1,7,6,4,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,1,4,6,7] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,1,4,7,6] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,1,6,4,7] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,1,6,7,4] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,1,7,4,6] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,1,7,6,4] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,4,1,6,7] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,4,1,7,6] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,4,6,1,7] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,4,6,7,1] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,4,7,1,6] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,4,7,6,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,6,1,4,7] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,6,1,7,4] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,6,4,1,7] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,6,4,7,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,6,7,1,4] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,6,7,4,1] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,7,1,4,6] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,7,1,6,4] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,7,4,1,6] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,7,4,6,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,7,6,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,2,7,6,4,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,1,2,6,7] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,1,2,7,6] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,1,6,2,7] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,1,6,7,2] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,1,7,2,6] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,1,7,6,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,2,1,6,7] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,2,1,7,6] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,2,6,1,7] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,2,6,7,1] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,2,7,1,6] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,2,7,6,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,6,1,2,7] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,6,1,7,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,6,2,1,7] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,6,2,7,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,6,7,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,6,7,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,7,1,2,6] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,7,1,6,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,7,2,1,6] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,7,2,6,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,7,6,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,4,7,6,2,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,1,2,4,7] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,1,2,7,4] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,1,4,2,7] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,1,4,7,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,1,7,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,1,7,4,2] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,2,1,4,7] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,2,1,7,4] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,2,4,1,7] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,2,4,7,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,2,7,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,2,7,4,1] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,4,1,2,7] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,4,1,7,2] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,4,2,1,7] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,4,2,7,1] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,4,7,1,2] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,4,7,2,1] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,7,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,7,1,4,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,7,2,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,7,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,7,4,1,2] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,6,7,4,2,1] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,1,2,4,6] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,1,2,6,4] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,1,4,2,6] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,1,4,6,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,1,6,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,1,6,4,2] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,2,1,4,6] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,2,1,6,4] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,2,4,1,6] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,2,4,6,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,2,6,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,2,6,4,1] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,4,1,2,6] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,4,1,6,2] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,4,2,1,6] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,4,2,6,1] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,4,6,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,4,6,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,6,1,2,4] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,6,1,4,2] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,6,2,1,4] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,6,2,4,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,6,4,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,5,7,6,4,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,2,4,5,7] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,2,4,7,5] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,2,5,4,7] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,2,5,7,4] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,2,7,4,5] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,2,7,5,4] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,2,5,7] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,2,7,5] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,5,2,7] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,5,7,2] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,7,2,5] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,4,7,5,2] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,5,2,4,7] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,5,2,7,4] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,5,4,2,7] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,5,4,7,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,5,7,2,4] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,5,7,4,2] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,7,2,4,5] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,7,2,5,4] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,7,4,2,5] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,7,4,5,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,7,5,2,4] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,1,7,5,4,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,1,4,5,7] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,1,4,7,5] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,1,5,4,7] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,1,5,7,4] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,1,7,4,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,1,7,5,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,4,1,5,7] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,4,1,7,5] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,4,5,1,7] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,4,5,7,1] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,4,7,1,5] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,4,7,5,1] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,5,1,4,7] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,5,1,7,4] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,5,4,1,7] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,5,4,7,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,5,7,1,4] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,5,7,4,1] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,7,1,4,5] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,7,1,5,4] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,7,4,1,5] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,7,4,5,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,7,5,1,4] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,2,7,5,4,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,1,2,5,7] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,1,2,7,5] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,1,5,2,7] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,1,5,7,2] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,1,7,2,5] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,1,7,5,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,2,1,5,7] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,2,1,7,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,2,5,1,7] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,2,5,7,1] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,2,7,1,5] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,2,7,5,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,5,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,5,1,7,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,5,2,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,5,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,5,7,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,5,7,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,7,1,2,5] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,7,1,5,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,7,2,1,5] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,7,2,5,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,7,5,1,2] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,4,7,5,2,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,1,2,4,7] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,1,2,7,4] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,1,4,2,7] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,1,4,7,2] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,1,7,2,4] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,1,7,4,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,2,1,4,7] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,2,1,7,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,2,4,1,7] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,2,4,7,1] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,2,7,1,4] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,2,7,4,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,4,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,4,1,7,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,4,2,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,4,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,4,7,1,2] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,4,7,2,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,7,1,2,4] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,7,1,4,2] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,7,2,1,4] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,7,2,4,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,7,4,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,5,7,4,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,1,2,4,5] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,1,2,5,4] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,1,4,2,5] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,1,4,5,2] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,1,5,2,4] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,1,5,4,2] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,2,1,4,5] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,2,1,5,4] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,2,4,1,5] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,2,4,5,1] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,2,5,1,4] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,2,5,4,1] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,4,1,2,5] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,4,1,5,2] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,4,2,1,5] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,4,2,5,1] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,4,5,1,2] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,4,5,2,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,5,1,2,4] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,5,1,4,2] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,5,2,1,4] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,5,2,4,1] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,5,4,1,2] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,6,7,5,4,2,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,2,4,5,6] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,2,4,6,5] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,2,5,4,6] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,2,5,6,4] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,2,6,4,5] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,2,6,5,4] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,4,2,5,6] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,4,2,6,5] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,4,5,2,6] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,4,5,6,2] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,4,6,2,5] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,4,6,5,2] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,5,2,4,6] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,5,2,6,4] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,5,4,2,6] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,5,4,6,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,5,6,2,4] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,5,6,4,2] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,6,2,4,5] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,6,2,5,4] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,6,4,2,5] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,6,4,5,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,6,5,2,4] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,1,6,5,4,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,1,4,5,6] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,1,4,6,5] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,1,5,4,6] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,1,5,6,4] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,1,6,4,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,1,6,5,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,4,1,5,6] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,4,1,6,5] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,4,5,1,6] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,4,5,6,1] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,4,6,1,5] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,4,6,5,1] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,5,1,4,6] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,5,1,6,4] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,5,4,1,6] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,5,4,6,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,5,6,1,4] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,5,6,4,1] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,6,1,4,5] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,6,1,5,4] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,6,4,1,5] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,6,4,5,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,6,5,1,4] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,2,6,5,4,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,1,2,5,6] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,1,2,6,5] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,1,5,2,6] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,1,5,6,2] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,1,6,2,5] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,1,6,5,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,2,1,5,6] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,2,1,6,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,2,5,1,6] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,2,5,6,1] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,2,6,1,5] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,2,6,5,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,5,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,5,1,6,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,5,2,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,5,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,5,6,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,5,6,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,6,1,2,5] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,6,1,5,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,6,2,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,6,2,5,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,6,5,1,2] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,4,6,5,2,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,1,2,4,6] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,1,2,6,4] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,1,4,2,6] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,1,4,6,2] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,1,6,2,4] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,1,6,4,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,2,1,4,6] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,2,1,6,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,2,4,1,6] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,2,4,6,1] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,2,6,1,4] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,2,6,4,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,4,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,4,1,6,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,4,2,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,4,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,4,6,1,2] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,4,6,2,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,6,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,6,1,4,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,6,2,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,6,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,6,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,5,6,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,1,2,4,5] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,1,2,5,4] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,1,4,2,5] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,1,4,5,2] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,1,5,2,4] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,1,5,4,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,2,1,4,5] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,2,1,5,4] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,2,4,1,5] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,2,4,5,1] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,2,5,1,4] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,2,5,4,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,4,1,2,5] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,4,1,5,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,4,2,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,4,2,5,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,4,5,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,4,5,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,5,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,5,1,4,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,5,2,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,5,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,5,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[3,7,6,5,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,3,5,6,7] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,3,5,7,6] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,3,6,5,7] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,3,6,7,5] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,3,7,5,6] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,3,7,6,5] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,5,3,6,7] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,5,3,7,6] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,5,6,3,7] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,5,6,7,3] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,5,7,3,6] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,5,7,6,3] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,6,3,5,7] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,6,3,7,5] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,6,5,3,7] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,6,5,7,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,6,7,3,5] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,6,7,5,3] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,3,5,6] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,3,6,5] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,5,3,6] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,5,6,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,6,3,5] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,2,7,6,5,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,2,5,6,7] => [1,3,2,5,6,7,4] => [1,3,2,7,4,5,6] => [7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,2,5,7,6] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,2,6,5,7] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,2,6,7,5] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,2,7,5,6] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,2,7,6,5] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,5,2,6,7] => [1,3,5,2,6,7,4] => [1,7,4,2,3,5,6] => [7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,5,2,7,6] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,5,6,2,7] => [1,3,5,6,2,7,4] => [1,5,2,3,7,4,6] => [7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,5,6,7,2] => [1,3,5,6,7,2,4] => [1,7,4,6,2,3,5] => [7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,5,7,2,6] => [1,3,5,7,2,6,4] => [1,5,2,3,6,7,4] => [7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,5,7,6,2] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,2,5,7] => [1,3,6,2,5,7,4] => [1,5,7,4,2,3,6] => [7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,2,7,5] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,5,2,7] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,5,7,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,7,2,5] => [1,3,6,7,2,5,4] => [1,6,5,2,3,7,4] => [7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,6,7,5,2] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,2,5,6] => [1,3,7,2,5,6,4] => [1,5,6,7,4,2,3] => [7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,2,6,5] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,5,2,6] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,5,6,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,6,2,5] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,3,7,6,5,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,2,3,6,7] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,2,3,7,6] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,2,6,3,7] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,2,6,7,3] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,2,7,3,6] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,2,7,6,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,3,2,6,7] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,3,2,7,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,3,6,2,7] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,3,6,7,2] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,3,7,2,6] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,3,7,6,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,6,2,3,7] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,6,2,7,3] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,6,3,2,7] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,6,3,7,2] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,6,7,2,3] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,6,7,3,2] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,7,2,3,6] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,7,2,6,3] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,7,3,2,6] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,7,3,6,2] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,7,6,2,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,5,7,6,3,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,2,3,5,7] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,2,3,7,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,2,5,3,7] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,2,5,7,3] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,2,7,3,5] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,2,7,5,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,3,2,5,7] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,3,2,7,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,3,5,2,7] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,3,5,7,2] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,3,7,2,5] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,3,7,5,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,5,2,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,5,2,7,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,5,3,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,5,3,7,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,5,7,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,5,7,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,7,2,3,5] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,7,2,5,3] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,7,3,2,5] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,7,3,5,2] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,7,5,2,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,6,7,5,3,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,3,5,6] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,3,6,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,5,3,6] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,5,6,3] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,6,3,5] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,2,6,5,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,2,5,6] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,2,6,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,5,2,6] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,5,6,2] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,6,2,5] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,3,6,5,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,2,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,2,6,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,3,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,3,6,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,6,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,5,6,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,2,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,2,5,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,3,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,3,5,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,5,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,1,7,6,5,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,3,5,6,7] => [1,3,5,6,7,2,4] => [1,7,4,6,2,3,5] => [7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,3,5,7,6] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,3,6,5,7] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,3,6,7,5] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,3,7,5,6] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,3,7,6,5] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,5,3,6,7] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,5,3,7,6] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,5,6,3,7] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,5,6,7,3] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,5,7,3,6] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,5,7,6,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,6,3,5,7] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,6,3,7,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,6,5,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,6,5,7,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,6,7,3,5] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,6,7,5,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,3,5,6] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,3,6,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,5,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,5,6,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,6,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,1,7,6,5,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,1,5,6,7] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,1,5,7,6] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,1,6,5,7] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,1,6,7,5] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,1,7,5,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,1,7,6,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,5,1,6,7] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,5,1,7,6] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,5,6,1,7] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,5,6,7,1] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,5,7,1,6] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,5,7,6,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,6,1,5,7] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,6,1,7,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,6,5,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,6,5,7,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,6,7,1,5] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,6,7,5,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,7,1,5,6] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,7,1,6,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,7,5,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,7,5,6,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,7,6,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,3,7,6,5,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,1,3,6,7] => [1,3,6,7,2,5,4] => [1,6,5,2,3,7,4] => [7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,1,3,7,6] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,1,6,3,7] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,1,6,7,3] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,1,7,3,6] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,1,7,6,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,3,1,6,7] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,3,1,7,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,3,6,1,7] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,3,6,7,1] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,3,7,1,6] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,3,7,6,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,6,1,3,7] => [1,3,7,2,5,6,4] => [1,5,6,7,4,2,3] => [7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,6,1,7,3] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,6,3,1,7] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,6,3,7,1] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,6,7,1,3] => [1,3,2,5,6,7,4] => [1,3,2,7,4,5,6] => [7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,6,7,3,1] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,7,1,3,6] => [1,3,6,2,5,7,4] => [1,5,7,4,2,3,6] => [7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,7,1,6,3] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,7,3,1,6] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,7,3,6,1] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,7,6,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,5,7,6,3,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,1,3,5,7] => [1,3,5,7,2,6,4] => [1,5,2,3,6,7,4] => [7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,1,3,7,5] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,1,5,3,7] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,1,5,7,3] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,1,7,3,5] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,1,7,5,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,3,1,5,7] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,3,1,7,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,3,5,1,7] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,3,5,7,1] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,3,7,1,5] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,3,7,5,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,5,1,3,7] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,5,1,7,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,5,3,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,5,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,5,7,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,5,7,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,7,1,3,5] => [1,3,5,2,6,7,4] => [1,7,4,2,3,5,6] => [7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,7,1,5,3] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,7,3,1,5] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,7,3,5,1] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,7,5,1,3] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,6,7,5,3,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,1,3,5,6] => [1,3,5,6,2,7,4] => [1,5,2,3,7,4,6] => [7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,1,3,6,5] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,1,5,3,6] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,1,5,6,3] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,1,6,3,5] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,1,6,5,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,3,1,5,6] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,3,1,6,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,3,5,1,6] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,3,5,6,1] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,3,6,1,5] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,3,6,5,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,5,1,3,6] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,5,1,6,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,5,3,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,5,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,5,6,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,5,6,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,6,1,3,5] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,6,1,5,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,6,3,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,6,3,5,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,6,5,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,2,7,6,5,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,2,5,6,7] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,2,5,7,6] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,2,6,5,7] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,2,6,7,5] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,2,7,5,6] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,2,7,6,5] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,5,2,6,7] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,5,2,7,6] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,5,6,2,7] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,5,6,7,2] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,5,7,2,6] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,5,7,6,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,6,2,5,7] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,6,2,7,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,6,5,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,6,5,7,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,6,7,2,5] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,6,7,5,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,2,5,6] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,2,6,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,5,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,5,6,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,6,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,1,7,6,5,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,5,6,7] => [1,5,6,7,2,3,4] => [1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,5,7,6] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,6,5,7] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,6,7,5] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,7,5,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,1,7,6,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,5,1,6,7] => [1,6,7,2,5,3,4] => [1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,5,1,7,6] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,5,6,1,7] => [1,7,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,5,6,7,1] => [1,2,5,6,7,3,4] => [1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,5,7,1,6] => [1,6,2,5,7,3,4] => [1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,5,7,6,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,6,1,5,7] => [1,5,7,2,6,3,4] => [1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,6,1,7,5] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,6,5,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,6,5,7,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,6,7,1,5] => [1,5,2,6,7,3,4] => [1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,6,7,5,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,7,1,5,6] => [1,5,6,2,7,3,4] => [1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,7,1,6,5] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,7,5,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,7,5,6,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,7,6,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,2,7,6,5,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,1,2,6,7] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,1,2,7,6] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,1,6,2,7] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,1,6,7,2] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,1,7,2,6] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,1,7,6,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,2,1,6,7] => [1,6,7,2,3,5,4] => [1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,2,1,7,6] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,2,6,1,7] => [1,7,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,2,6,7,1] => [1,2,6,7,3,5,4] => [1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,2,7,1,6] => [1,6,2,7,3,5,4] => [1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,2,7,6,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,6,1,2,7] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,6,1,7,2] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,6,2,1,7] => [1,7,2,3,5,6,4] => [1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,6,2,7,1] => [1,2,7,3,5,6,4] => [1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,6,7,1,2] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,6,7,2,1] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,7,1,2,6] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,7,1,6,2] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,7,2,1,6] => [1,6,2,3,5,7,4] => [1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,7,2,6,1] => [1,2,6,3,5,7,4] => [1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,7,6,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,5,7,6,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,1,2,5,7] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,1,2,7,5] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,1,5,2,7] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,1,5,7,2] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,1,7,2,5] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,1,7,5,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,2,1,5,7] => [1,5,7,2,3,6,4] => [1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,2,1,7,5] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,2,5,1,7] => [1,7,2,5,3,6,4] => [1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,2,5,7,1] => [1,2,5,7,3,6,4] => [1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,2,7,1,5] => [1,5,2,7,3,6,4] => [1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,2,7,5,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,5,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,5,1,7,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,5,2,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,5,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,5,7,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,5,7,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,7,1,2,5] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,7,1,5,2] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,7,2,1,5] => [1,5,2,3,6,7,4] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,7,2,5,1] => [1,2,5,3,6,7,4] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,7,5,1,2] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,6,7,5,2,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,1,2,5,6] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,1,2,6,5] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,1,5,2,6] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,1,5,6,2] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,1,6,2,5] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,1,6,5,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,2,1,5,6] => [1,5,6,2,3,7,4] => [1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,2,1,6,5] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,2,5,1,6] => [1,6,2,5,3,7,4] => [1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,2,5,6,1] => [1,2,5,6,3,7,4] => [1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,2,6,1,5] => [1,5,2,6,3,7,4] => [1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,2,6,5,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,5,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,5,1,6,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,5,2,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,5,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,5,6,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,5,6,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,6,1,2,5] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,6,1,5,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,6,2,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,6,2,5,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,6,5,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,3,7,6,5,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,2,3,6,7] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,2,3,7,6] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,2,6,3,7] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,2,6,7,3] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,2,7,3,6] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,2,7,6,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,3,2,6,7] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,3,2,7,6] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,3,6,2,7] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,3,6,7,2] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,3,7,2,6] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,3,7,6,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,6,2,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,6,2,7,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,6,3,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,6,3,7,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,6,7,2,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,6,7,3,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,7,2,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,7,2,6,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,7,3,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,7,3,6,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,7,6,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,1,7,6,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,1,3,6,7] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,1,3,7,6] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,1,6,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,1,6,7,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,1,7,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,1,7,6,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,3,1,6,7] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,3,1,7,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,3,6,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,3,6,7,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,3,7,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,3,7,6,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,6,1,3,7] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,6,1,7,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,6,3,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,6,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,6,7,1,3] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,6,7,3,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,7,1,3,6] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,7,1,6,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,7,3,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,7,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,7,6,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,2,7,6,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,1,2,6,7] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,1,2,7,6] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,1,6,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,1,6,7,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,1,7,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,1,7,6,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,2,1,6,7] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,2,1,7,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,2,6,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,2,6,7,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,2,7,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,2,7,6,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,6,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,6,1,7,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,6,2,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,6,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,6,7,1,2] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,6,7,2,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,7,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,7,1,6,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,7,2,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,7,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,7,6,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,3,7,6,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,1,2,3,7] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,1,2,7,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,1,3,2,7] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,1,3,7,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,1,7,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,1,7,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,2,1,3,7] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,2,1,7,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,2,3,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,2,3,7,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,2,7,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,2,7,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,3,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,3,1,7,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,3,2,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,3,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,3,7,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,3,7,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,7,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,7,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,7,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,7,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,7,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,6,7,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,1,2,3,6] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,1,2,6,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,1,3,2,6] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,1,3,6,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,1,6,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,1,6,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,2,1,3,6] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,2,1,6,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,2,3,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,2,3,6,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,2,6,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,2,6,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,3,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,3,1,6,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,3,2,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,3,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,3,6,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,3,6,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,6,1,2,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,6,1,3,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,6,2,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,6,2,3,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,6,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,5,7,6,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,2,3,5,7] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,2,3,7,5] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,2,5,3,7] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,2,5,7,3] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,2,7,3,5] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,2,7,5,3] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,3,2,5,7] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,3,2,7,5] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,3,5,2,7] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,3,5,7,2] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,3,7,2,5] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,3,7,5,2] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,5,2,3,7] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,5,2,7,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,5,3,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,5,3,7,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,5,7,2,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,5,7,3,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,7,2,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,7,2,5,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,7,3,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,7,3,5,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,7,5,2,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,1,7,5,3,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,1,3,5,7] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,1,3,7,5] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,1,5,3,7] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,1,5,7,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,1,7,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,1,7,5,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,3,1,5,7] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,3,1,7,5] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,3,5,1,7] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,3,5,7,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,3,7,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,3,7,5,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,5,1,3,7] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,5,1,7,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,5,3,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,5,3,7,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,5,7,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,5,7,3,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,7,1,3,5] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,7,1,5,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,7,3,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,7,3,5,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,7,5,1,3] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,2,7,5,3,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,1,2,5,7] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,1,2,7,5] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,1,5,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,1,5,7,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,1,7,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,1,7,5,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,2,1,5,7] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,2,1,7,5] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,2,5,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,2,5,7,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,2,7,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,2,7,5,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,5,1,2,7] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,5,1,7,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,5,2,1,7] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,5,2,7,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,5,7,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,5,7,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,7,1,2,5] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,7,1,5,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,7,2,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,7,2,5,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,7,5,1,2] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,3,7,5,2,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,1,2,3,7] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,1,2,7,3] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,1,3,2,7] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,1,3,7,2] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,1,7,2,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,1,7,3,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,2,1,3,7] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,2,1,7,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,2,3,1,7] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,2,3,7,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,2,7,1,3] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,2,7,3,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,3,1,2,7] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,3,1,7,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,3,2,1,7] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,3,2,7,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,3,7,1,2] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,3,7,2,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,7,1,2,3] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,7,1,3,2] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,7,2,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,7,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,7,3,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,5,7,3,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,1,2,3,5] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,1,2,5,3] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,1,3,2,5] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,1,3,5,2] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,1,5,2,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,1,5,3,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,2,1,3,5] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,2,1,5,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,2,3,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,2,3,5,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,2,5,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,2,5,3,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,3,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,3,1,5,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,3,2,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,3,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,3,5,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,3,5,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,5,1,2,3] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,5,1,3,2] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,5,2,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,5,2,3,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,5,3,1,2] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,6,7,5,3,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,2,3,5,6] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,2,3,6,5] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,2,5,3,6] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,2,5,6,3] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,2,6,3,5] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,2,6,5,3] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,3,2,5,6] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,3,2,6,5] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,3,5,2,6] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,3,5,6,2] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,3,6,2,5] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,3,6,5,2] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,5,2,3,6] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,5,2,6,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,5,3,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,5,3,6,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,5,6,2,3] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,5,6,3,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,6,2,3,5] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,6,2,5,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,6,3,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,6,3,5,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,6,5,2,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,1,6,5,3,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,1,3,5,6] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,1,3,6,5] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,1,5,3,6] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,1,5,6,3] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,1,6,3,5] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,1,6,5,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,3,1,5,6] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,3,1,6,5] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,3,5,1,6] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,3,5,6,1] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,3,6,1,5] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,3,6,5,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,5,1,3,6] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,5,1,6,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,5,3,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,5,3,6,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,5,6,1,3] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,5,6,3,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,6,1,3,5] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,6,1,5,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,6,3,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,6,3,5,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,6,5,1,3] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,2,6,5,3,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,1,2,5,6] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,1,2,6,5] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,1,5,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,1,5,6,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,1,6,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,1,6,5,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,2,1,5,6] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,2,1,6,5] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,2,5,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,2,5,6,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,2,6,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,2,6,5,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,5,1,2,6] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,5,1,6,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,5,2,1,6] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,5,2,6,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,5,6,1,2] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,5,6,2,1] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,6,1,2,5] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,6,1,5,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,6,2,1,5] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,6,2,5,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,6,5,1,2] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,3,6,5,2,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,1,2,3,6] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,1,2,6,3] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,1,3,2,6] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,1,3,6,2] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,1,6,2,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,1,6,3,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,2,1,3,6] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,2,1,6,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,2,3,1,6] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,2,3,6,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,2,6,1,3] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,2,6,3,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,3,1,2,6] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,3,1,6,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,3,2,1,6] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,3,2,6,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,3,6,1,2] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,3,6,2,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,6,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,6,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,6,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,6,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,6,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,5,6,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,1,2,3,5] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,1,2,5,3] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,1,3,2,5] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,1,3,5,2] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,1,5,2,3] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,1,5,3,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,2,1,3,5] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,2,1,5,3] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,2,3,1,5] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,2,3,5,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,2,5,1,3] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,2,5,3,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,3,1,2,5] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,3,1,5,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,3,2,1,5] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,3,2,5,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,3,5,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,3,5,2,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,5,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,5,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,5,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,5,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,5,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,7,6,5,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,3,4,6,7] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,3,4,7,6] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,3,6,4,7] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,3,6,7,4] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,3,7,4,6] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,3,7,6,4] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,4,3,6,7] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,4,3,7,6] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,4,6,3,7] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,4,6,7,3] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,4,7,3,6] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,4,7,6,3] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,6,3,4,7] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,6,3,7,4] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,6,4,3,7] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,6,4,7,3] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,6,7,3,4] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,6,7,4,3] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,3,4,6] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,3,6,4] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,4,3,6] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,4,6,3] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,6,3,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,2,7,6,4,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,2,4,6,7] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,2,4,7,6] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,2,6,4,7] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,2,6,7,4] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,2,7,4,6] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,2,7,6,4] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,4,2,6,7] => [1,3,4,2,6,7,5] => [1,4,2,3,7,5,6] => [7,4,6,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,4,2,7,6] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,4,6,2,7] => [1,3,4,6,2,7,5] => [1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,4,6,7,2] => [1,3,4,6,7,2,5] => [1,6,2,3,4,7,5] => [7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,4,7,2,6] => [1,3,4,7,2,6,5] => [1,6,7,5,2,3,4] => [7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,4,7,6,2] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,2,4,7] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,2,7,4] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,4,2,7] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,4,7,2] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,7,2,4] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,6,7,4,2] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,2,4,6] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,2,6,4] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,4,2,6] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,4,6,2] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,6,2,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,3,7,6,4,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,2,3,6,7] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,2,3,7,6] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,2,6,3,7] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,2,6,7,3] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,2,7,3,6] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,2,7,6,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,3,2,6,7] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,3,2,7,6] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,3,6,2,7] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,3,6,7,2] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,3,7,2,6] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,3,7,6,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,6,2,3,7] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,6,2,7,3] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,6,3,2,7] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,6,3,7,2] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,6,7,2,3] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,6,7,3,2] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,2,3,6] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,2,6,3] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,3,2,6] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,3,6,2] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,6,2,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,4,7,6,3,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,2,3,4,7] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,2,3,7,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,2,4,3,7] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,2,4,7,3] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,2,7,3,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,2,7,4,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,3,2,4,7] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,3,2,7,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,3,4,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,3,4,7,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,3,7,2,4] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,3,7,4,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,4,2,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,4,2,7,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,4,3,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,4,3,7,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,4,7,2,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,4,7,3,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,7,2,3,4] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,7,2,4,3] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,7,3,2,4] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,7,3,4,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,7,4,2,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,6,7,4,3,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,3,4,6] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,3,6,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,4,3,6] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,4,6,3] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,6,3,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,2,6,4,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,3,2,4,6] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,3,2,6,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,3,4,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,3,4,6,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,3,6,2,4] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,3,6,4,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,4,2,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,4,2,6,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,4,3,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,4,3,6,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,4,6,2,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,4,6,3,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,6,2,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,6,2,4,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,6,3,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,6,3,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,6,4,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,1,7,6,4,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,3,4,6,7] => [1,3,4,6,7,2,5] => [1,6,2,3,4,7,5] => [7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,3,4,7,6] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,3,6,4,7] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,3,6,7,4] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,3,7,4,6] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,3,7,6,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,4,3,6,7] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,4,3,7,6] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,4,6,3,7] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,4,6,7,3] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,4,7,3,6] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,4,7,6,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,3,4,7] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,3,7,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,4,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,4,7,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,7,3,4] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,6,7,4,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,3,4,6] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,3,6,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,4,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,4,6,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,6,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,1,7,6,4,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,1,4,6,7] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,1,4,7,6] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,1,6,4,7] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,1,6,7,4] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,1,7,4,6] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,1,7,6,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,4,1,6,7] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,4,1,7,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,4,6,1,7] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,4,6,7,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,4,7,1,6] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,4,7,6,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,6,1,4,7] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,6,1,7,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,6,4,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,6,4,7,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,6,7,1,4] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,6,7,4,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,7,1,4,6] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,7,1,6,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,7,4,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,7,4,6,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,7,6,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,3,7,6,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,1,3,6,7] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,1,3,7,6] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,1,6,3,7] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,1,6,7,3] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,1,7,3,6] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,1,7,6,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,3,1,6,7] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,3,1,7,6] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,3,6,1,7] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,3,6,7,1] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,3,7,1,6] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,3,7,6,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,6,1,3,7] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,6,1,7,3] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,6,3,1,7] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,6,3,7,1] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,6,7,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,6,7,3,1] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,7,1,3,6] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,7,1,6,3] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,7,3,1,6] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,7,3,6,1] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,7,6,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,4,7,6,3,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,1,3,4,7] => [1,3,4,7,2,6,5] => [1,6,7,5,2,3,4] => [7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,1,3,7,4] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,1,4,3,7] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,1,4,7,3] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,1,7,3,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,1,7,4,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,3,1,4,7] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,3,1,7,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,3,4,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,3,4,7,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,3,7,1,4] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,3,7,4,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,4,1,3,7] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,4,1,7,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,4,3,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,4,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,4,7,1,3] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,4,7,3,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,7,1,3,4] => [1,3,4,2,6,7,5] => [1,4,2,3,7,5,6] => [7,4,6,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,7,1,4,3] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,7,3,1,4] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,7,3,4,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,7,4,1,3] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,6,7,4,3,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,1,3,4,6] => [1,3,4,6,2,7,5] => [1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,1,3,6,4] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,1,4,3,6] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,1,4,6,3] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,1,6,3,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,1,6,4,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,3,1,4,6] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,3,1,6,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,3,4,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,3,4,6,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,3,6,1,4] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,3,6,4,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,1,3,6] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,1,6,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,3,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,6,1,3] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,4,6,3,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,1,3,4] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,1,4,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,3,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,2,7,6,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,2,4,6,7] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,2,4,7,6] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,2,6,4,7] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,2,6,7,4] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,2,7,4,6] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,2,7,6,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,4,2,6,7] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,4,2,7,6] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,4,6,2,7] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,4,6,7,2] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,4,7,2,6] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,4,7,6,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,6,2,4,7] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,6,2,7,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,6,4,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,6,4,7,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,6,7,2,4] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,6,7,4,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,2,4,6] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,2,6,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,4,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,4,6,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,6,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,1,7,6,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,1,4,6,7] => [1,4,6,7,2,3,5] => [1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,1,4,7,6] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,1,6,4,7] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,1,6,7,4] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,1,7,4,6] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,1,7,6,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,4,1,6,7] => [1,6,7,2,4,3,5] => [1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,4,1,7,6] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,4,6,1,7] => [1,7,2,4,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,4,6,7,1] => [1,2,4,6,7,3,5] => [1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,4,7,1,6] => [1,6,2,4,7,3,5] => [1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,4,7,6,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,6,1,4,7] => [1,4,7,2,6,3,5] => [1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,6,1,7,4] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,6,4,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,6,4,7,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,6,7,1,4] => [1,4,2,6,7,3,5] => [1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,6,7,4,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,7,1,4,6] => [1,4,6,2,7,3,5] => [1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,7,1,6,4] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,7,4,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,7,4,6,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,7,6,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,2,7,6,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,1,2,6,7] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,1,2,7,6] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,1,6,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,1,6,7,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,1,7,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,1,7,6,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,2,1,6,7] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,2,1,7,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,2,6,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,2,6,7,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,2,7,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,2,7,6,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,6,1,2,7] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,6,1,7,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,6,2,1,7] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,6,2,7,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,6,7,1,2] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,6,7,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,7,1,2,6] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,7,1,6,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,7,2,1,6] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,7,2,6,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,7,6,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,4,7,6,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,1,2,4,7] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,1,2,7,4] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,1,4,2,7] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,1,4,7,2] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,1,7,2,4] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,1,7,4,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,2,1,4,7] => [1,4,7,2,3,6,5] => [1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,2,1,7,4] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,2,4,1,7] => [1,7,2,4,3,6,5] => [1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,2,4,7,1] => [1,2,4,7,3,6,5] => [1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,2,7,1,4] => [1,4,2,7,3,6,5] => [1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,2,7,4,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,1,7,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,2,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,7,1,2] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,4,7,2,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,7,1,2,4] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,7,1,4,2] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,7,2,1,4] => [1,4,2,3,6,7,5] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,7,2,4,1] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,7,4,1,2] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,6,7,4,2,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,1,2,4,6] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,1,2,6,4] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,1,4,2,6] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,1,4,6,2] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,1,6,2,4] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,1,6,4,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,2,1,4,6] => [1,4,6,2,3,7,5] => [1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,2,1,6,4] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,2,4,1,6] => [1,6,2,4,3,7,5] => [1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,2,4,6,1] => [1,2,4,6,3,7,5] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,2,6,1,4] => [1,4,2,6,3,7,5] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,2,6,4,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,1,6,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,2,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,6,1,2] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,4,6,2,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,6,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,6,1,4,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,6,2,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,6,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,6,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,3,7,6,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,2,3,6,7] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,2,3,7,6] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,2,6,3,7] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,2,6,7,3] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,2,7,3,6] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,2,7,6,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,3,2,6,7] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,3,2,7,6] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,3,6,2,7] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,3,6,7,2] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,3,7,2,6] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,3,7,6,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,6,2,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,6,2,7,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,6,3,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,6,3,7,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,6,7,2,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,6,7,3,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,2,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,2,6,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,3,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,3,6,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,6,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,1,7,6,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,1,3,6,7] => [1,3,6,7,2,4,5] => [1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,1,3,7,6] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,1,6,3,7] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,1,6,7,3] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,1,7,3,6] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,1,7,6,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,3,1,6,7] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,3,1,7,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,3,6,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,3,6,7,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,3,7,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,3,7,6,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,6,1,3,7] => [1,3,7,2,6,4,5] => [1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,6,1,7,3] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,6,3,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,6,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,6,7,1,3] => [1,3,2,6,7,4,5] => [1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,6,7,3,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,7,1,3,6] => [1,3,6,2,7,4,5] => [1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,7,1,6,3] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,7,3,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,7,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,7,6,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,2,7,6,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,1,2,6,7] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,1,2,7,6] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,1,6,2,7] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,1,6,7,2] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,1,7,2,6] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,1,7,6,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,2,1,6,7] => [1,6,7,2,3,4,5] => [1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,2,1,7,6] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,2,6,1,7] => [1,7,2,6,3,4,5] => [1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,2,6,7,1] => [1,2,6,7,3,4,5] => [1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,2,7,1,6] => [1,6,2,7,3,4,5] => [1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,2,7,6,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,6,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,6,1,7,2] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,6,2,1,7] => [1,7,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,6,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,6,7,1,2] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,6,7,2,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,7,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,7,1,6,2] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,7,2,1,6] => [1,6,2,3,7,4,5] => [1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,7,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,7,6,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,3,7,6,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,1,2,3,7] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,1,2,7,3] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,1,3,2,7] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,1,3,7,2] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,1,7,2,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,1,7,3,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,2,1,3,7] => [1,3,7,2,4,6,5] => [1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,2,1,7,3] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,2,3,1,7] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,2,3,7,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,2,7,1,3] => [1,3,2,7,4,6,5] => [1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,2,7,3,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,3,1,2,7] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,3,1,7,2] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,3,2,1,7] => [1,7,2,3,4,6,5] => [1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,3,2,7,1] => [1,2,7,3,4,6,5] => [1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,3,7,1,2] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,3,7,2,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,7,1,2,3] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,7,1,3,2] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,7,2,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,7,2,3,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,7,3,1,2] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,6,7,3,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,1,2,3,6] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,1,2,6,3] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,1,3,2,6] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,1,3,6,2] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,1,6,2,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,1,6,3,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,2,1,3,6] => [1,3,6,2,4,7,5] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,2,1,6,3] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,2,3,1,6] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,2,3,6,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,2,6,1,3] => [1,3,2,6,4,7,5] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,2,6,3,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,3,1,2,6] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,3,1,6,2] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,3,2,1,6] => [1,6,2,3,4,7,5] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,3,2,6,1] => [1,2,6,3,4,7,5] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,3,6,1,2] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,3,6,2,1] => [1,2,3,6,4,7,5] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,6,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,6,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,6,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,6,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,6,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,7,6,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,2,3,4,7] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,2,3,7,4] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,2,4,3,7] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,2,4,7,3] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,2,7,3,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,2,7,4,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,3,2,4,7] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,3,2,7,4] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,3,4,2,7] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,3,4,7,2] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,3,7,2,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,3,7,4,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,4,2,3,7] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,4,2,7,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,4,3,2,7] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,4,3,7,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,4,7,2,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,4,7,3,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,7,2,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,7,2,4,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,7,3,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,7,3,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,7,4,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,1,7,4,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,1,3,4,7] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,1,3,7,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,1,4,3,7] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,1,4,7,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,1,7,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,1,7,4,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,3,1,4,7] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,3,1,7,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,3,4,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,3,4,7,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,3,7,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,3,7,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,4,1,3,7] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,4,1,7,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,4,3,1,7] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,4,3,7,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,4,7,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,4,7,3,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,7,1,3,4] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,7,1,4,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,7,3,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,7,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,7,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,2,7,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,1,2,4,7] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,1,2,7,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,1,4,2,7] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,1,4,7,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,1,7,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,1,7,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,2,1,4,7] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,2,1,7,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,2,4,1,7] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,2,4,7,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,2,7,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,2,7,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,4,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,4,1,7,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,4,2,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,4,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,4,7,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,4,7,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,7,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,7,1,4,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,7,2,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,7,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,7,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,3,7,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,1,2,3,7] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,1,2,7,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,1,3,2,7] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,1,3,7,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,1,7,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,1,7,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,2,1,3,7] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,2,1,7,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,2,3,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,2,3,7,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,2,7,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,2,7,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,3,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,3,1,7,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,3,2,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,3,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,3,7,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,3,7,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,7,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,7,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,7,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,7,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,7,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,4,7,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,1,2,4,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,1,3,2,4] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,1,3,4,2] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,1,4,2,3] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,1,4,3,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,2,1,3,4] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,2,1,4,3] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,2,3,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,2,4,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,2,4,3,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,3,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,3,1,4,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,3,2,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,3,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,4,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,4,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,6,7,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,2,3,4,6] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,2,3,6,4] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,2,4,3,6] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,2,4,6,3] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,2,6,3,4] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,2,6,4,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,3,2,4,6] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,3,2,6,4] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,3,4,2,6] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,3,4,6,2] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,3,6,2,4] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,3,6,4,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,4,2,3,6] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,4,2,6,3] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,4,3,2,6] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,4,3,6,2] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,4,6,2,3] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,4,6,3,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,6,2,3,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,6,2,4,3] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,6,3,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,6,3,4,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,6,4,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,1,6,4,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,1,3,4,6] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,1,3,6,4] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,1,4,3,6] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,1,4,6,3] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,1,6,3,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,1,6,4,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,3,1,4,6] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,3,1,6,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,3,4,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,3,4,6,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,3,6,1,4] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,3,6,4,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,4,1,3,6] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,4,1,6,3] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,4,3,1,6] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,4,3,6,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,4,6,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,4,6,3,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,6,1,3,4] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,6,1,4,3] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,6,3,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,6,3,4,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,6,4,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,2,6,4,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,1,2,4,6] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,1,2,6,4] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,1,4,2,6] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,1,4,6,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,1,6,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,1,6,4,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,2,1,4,6] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,2,1,6,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,2,4,1,6] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,2,4,6,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,2,6,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,2,6,4,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,4,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,4,1,6,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,4,2,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,4,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,4,6,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,4,6,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,6,1,2,4] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,6,1,4,2] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,6,2,1,4] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,6,2,4,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,6,4,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,3,6,4,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,1,2,3,6] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,1,2,6,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,1,3,2,6] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,1,3,6,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,1,6,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,1,6,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,2,1,3,6] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,2,1,6,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,2,3,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,2,3,6,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,2,6,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,2,6,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,3,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,3,1,6,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,3,2,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,3,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,3,6,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,3,6,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,6,1,2,3] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,6,1,3,2] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,6,2,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,6,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,6,3,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,4,6,3,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,1,2,3,4] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,1,2,4,3] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,1,3,2,4] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,1,3,4,2] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,1,4,2,3] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,1,4,3,2] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,2,1,3,4] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,2,1,4,3] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,2,3,1,4] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,2,3,4,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,2,4,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,2,4,3,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,3,1,2,4] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,3,1,4,2] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,3,2,1,4] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,3,2,4,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,3,4,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,3,4,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,4,1,2,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,4,1,3,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,4,2,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,4,2,3,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,4,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,7,6,4,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,3,4,5,7] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,3,4,7,5] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,3,5,4,7] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,3,5,7,4] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,3,7,4,5] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,3,7,5,4] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,4,3,5,7] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,4,3,7,5] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,4,5,3,7] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,4,5,7,3] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,4,7,3,5] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,4,7,5,3] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,5,3,4,7] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,5,3,7,4] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,5,4,3,7] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,5,4,7,3] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,5,7,3,4] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,5,7,4,3] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,7,3,4,5] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,7,3,5,4] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,7,4,3,5] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,7,4,5,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,7,5,3,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,2,7,5,4,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,2,4,5,7] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,2,4,7,5] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,2,5,4,7] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,2,5,7,4] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,2,7,4,5] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,2,7,5,4] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,4,2,5,7] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,4,2,7,5] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,4,5,2,7] => [1,3,4,5,2,7,6] => [1,5,2,3,4,7,6] => [7,3,6,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,4,5,7,2] => [1,3,4,5,7,2,6] => [1,7,6,2,3,4,5] => [7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,4,7,2,5] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,4,7,5,2] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,5,2,4,7] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,5,2,7,4] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,5,4,2,7] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,5,4,7,2] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,5,7,2,4] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,5,7,4,2] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,7,2,4,5] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,7,2,5,4] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,7,4,2,5] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,7,4,5,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,7,5,2,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,3,7,5,4,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,2,3,5,7] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,2,3,7,5] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,2,5,3,7] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,2,5,7,3] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,2,7,3,5] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,2,7,5,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,3,2,5,7] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,3,2,7,5] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,3,5,2,7] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,3,5,7,2] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,3,7,2,5] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,3,7,5,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,5,2,3,7] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,5,2,7,3] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,5,3,2,7] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,5,3,7,2] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,5,7,2,3] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,5,7,3,2] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,7,2,3,5] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,7,2,5,3] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,7,3,2,5] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,7,3,5,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,7,5,2,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,4,7,5,3,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,2,3,4,7] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,2,3,7,4] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,2,4,3,7] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,2,4,7,3] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,2,7,3,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,2,7,4,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,3,2,4,7] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,3,2,7,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,3,4,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,3,4,7,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,3,7,2,4] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,3,7,4,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,4,2,3,7] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,4,2,7,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,4,3,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,4,3,7,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,4,7,2,3] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,4,7,3,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,7,2,3,4] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,7,2,4,3] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,7,3,2,4] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,7,3,4,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,7,4,2,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,5,7,4,3,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,2,3,4,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,2,3,5,4] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,2,4,3,5] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,2,4,5,3] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,2,5,3,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,2,5,4,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,3,2,4,5] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,3,2,5,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,3,4,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,3,4,5,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,3,5,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,3,5,4,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,4,2,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,4,2,5,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,4,3,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,4,3,5,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,4,5,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,4,5,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,5,2,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,5,2,4,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,5,3,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,5,3,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,5,4,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,1,7,5,4,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,3,4,5,7] => [1,3,4,5,7,2,6] => [1,7,6,2,3,4,5] => [7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,3,4,7,5] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,3,5,4,7] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,3,5,7,4] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,3,7,4,5] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,3,7,5,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,3,5,7] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,3,7,5] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,5,3,7] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,5,7,3] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,7,3,5] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,4,7,5,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,5,3,4,7] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,5,3,7,4] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,5,4,3,7] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,5,4,7,3] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,5,7,3,4] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,5,7,4,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,7,3,4,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,7,3,5,4] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,7,4,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,7,4,5,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,7,5,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,1,7,5,4,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,4,5,7] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,4,7,5] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,5,4,7] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,5,7,4] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,7,4,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,1,7,5,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,4,1,5,7] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,4,1,7,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,4,5,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,4,5,7,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,4,7,1,5] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,4,7,5,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,5,1,4,7] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,5,1,7,4] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,5,4,1,7] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,5,4,7,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,5,7,1,4] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,5,7,4,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,1,4,5] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,1,5,4] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,4,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,4,5,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,5,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,3,7,5,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,3,5,7] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,3,7,5] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,5,3,7] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,5,7,3] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,7,3,5] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,1,7,5,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,3,1,5,7] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,3,1,7,5] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,3,5,1,7] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,3,5,7,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,3,7,1,5] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,3,7,5,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,5,1,3,7] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,5,1,7,3] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,5,3,1,7] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,5,3,7,1] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,5,7,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,5,7,3,1] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,1,3,5] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,1,5,3] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,3,1,5] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,3,5,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,5,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,4,7,5,3,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,3,4,7] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,3,7,4] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,4,3,7] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,4,7,3] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,7,3,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,1,7,4,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,3,1,4,7] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,3,1,7,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,3,4,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,3,4,7,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,3,7,1,4] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,3,7,4,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,4,1,3,7] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,4,1,7,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,4,3,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,4,3,7,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,4,7,1,3] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,4,7,3,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,7,1,3,4] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,7,1,4,3] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,7,3,1,4] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,7,3,4,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,7,4,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,5,7,4,3,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,1,3,4,5] => [1,3,4,5,2,7,6] => [1,5,2,3,4,7,6] => [7,3,6,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,1,3,5,4] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,1,4,3,5] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,1,4,5,3] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,1,5,3,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,1,5,4,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,1,4,5] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,1,5,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,4,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,4,5,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,5,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,3,5,4,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,1,3,5] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,1,5,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,3,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,3,5,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,5,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,4,5,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,1,3,4] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,1,4,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,3,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,2,7,5,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,4,5,7] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,4,7,5] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,5,4,7] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,5,7,4] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,7,4,5] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,2,7,5,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,4,2,5,7] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,4,2,7,5] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,4,5,2,7] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,4,5,7,2] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,4,7,2,5] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,4,7,5,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,5,2,4,7] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,5,2,7,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,5,4,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,5,4,7,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,5,7,2,4] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,5,7,4,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,2,4,5] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,2,5,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,4,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,4,5,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,5,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,1,7,5,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,4,5,7] => [1,4,5,7,2,3,6] => [1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,4,7,5] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,5,4,7] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,5,7,4] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,7,4,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,1,7,5,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,4,1,5,7] => [1,5,7,2,4,3,6] => [1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,4,1,7,5] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,4,5,1,7] => [1,7,2,4,5,3,6] => [1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,4,5,7,1] => [1,2,4,5,7,3,6] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,4,7,1,5] => [1,5,2,4,7,3,6] => [1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,4,7,5,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,5,1,4,7] => [1,4,7,2,5,3,6] => [1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,5,1,7,4] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,5,4,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,5,4,7,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,5,7,1,4] => [1,4,2,5,7,3,6] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,5,7,4,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,7,1,4,5] => [1,4,5,2,7,3,6] => [1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,7,1,5,4] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,7,4,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,7,4,5,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,7,5,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,2,7,5,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,1,2,5,7] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,1,2,7,5] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,1,5,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,1,5,7,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,1,7,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,1,7,5,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,1,5,7] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,1,7,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,5,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,5,7,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,7,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,2,7,5,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,5,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,5,1,7,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,5,2,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,5,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,5,7,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,5,7,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,7,1,2,5] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,7,1,5,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,7,2,1,5] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,7,2,5,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,7,5,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,4,7,5,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,2,4,7] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,2,7,4] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,4,2,7] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,4,7,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,7,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,1,7,4,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,2,1,4,7] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,2,1,7,4] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,2,4,1,7] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,2,4,7,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,2,7,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,2,7,4,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,4,1,2,7] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,4,1,7,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,4,2,1,7] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,4,2,7,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,4,7,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,4,7,2,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,7,1,2,4] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,7,1,4,2] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,7,2,1,4] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,7,2,4,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,7,4,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,5,7,4,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,1,2,4,5] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,1,2,5,4] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,1,4,2,5] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,1,4,5,2] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,1,5,2,4] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,1,5,4,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,1,4,5] => [1,4,5,2,3,7,6] => [1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,1,5,4] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,4,1,5] => [1,5,2,4,3,7,6] => [1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,4,5,1] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,5,1,4] => [1,4,2,5,3,7,6] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,2,5,4,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,1,2,5] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,1,5,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,2,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,2,5,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,5,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,4,5,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,1,4,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,2,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,3,7,5,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,3,5,7] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,3,7,5] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,5,3,7] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,5,7,3] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,7,3,5] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,2,7,5,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,2,5,7] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,2,7,5] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,5,2,7] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,5,7,2] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,7,2,5] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,3,7,5,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,2,3,7] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,2,7,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,3,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,3,7,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,7,2,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,5,7,3,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,2,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,2,5,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,3,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,3,5,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,5,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,1,7,5,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,3,5,7] => [1,3,5,7,2,4,6] => [1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,3,7,5] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,5,3,7] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,5,7,3] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,7,3,5] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,1,7,5,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,3,1,5,7] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,3,1,7,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,3,5,1,7] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,3,5,7,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,3,7,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,3,7,5,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,5,1,3,7] => [1,3,7,2,5,4,6] => [1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,5,1,7,3] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,5,3,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,5,3,7,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,5,7,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,5,7,3,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,7,1,3,5] => [1,3,5,2,7,4,6] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,7,1,5,3] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,7,3,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,7,3,5,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,7,5,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,2,7,5,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,2,5,7] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,2,7,5] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,5,2,7] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,5,7,2] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,7,2,5] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,1,7,5,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,2,1,5,7] => [1,5,7,2,3,4,6] => [1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,2,1,7,5] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,2,5,1,7] => [1,7,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,2,5,7,1] => [1,2,5,7,3,4,6] => [1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,2,7,1,5] => [1,5,2,7,3,4,6] => [1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,2,7,5,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,5,1,2,7] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,5,1,7,2] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,5,2,1,7] => [1,7,2,3,5,4,6] => [1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,5,2,7,1] => [1,2,7,3,5,4,6] => [1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,5,7,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,5,7,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,7,1,2,5] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,7,1,5,2] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,7,2,1,5] => [1,5,2,3,7,4,6] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,7,2,5,1] => [1,2,5,3,7,4,6] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,7,5,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,3,7,5,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,1,2,3,7] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,1,2,7,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,1,3,2,7] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,1,3,7,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,1,7,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,1,7,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,1,3,7] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,1,7,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,3,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,3,7,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,7,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,2,7,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,3,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,3,1,7,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,3,2,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,3,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,3,7,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,3,7,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,7,1,2,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,7,1,3,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,7,2,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,7,2,3,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,7,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,5,7,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,1,2,3,5] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,1,2,5,3] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,1,3,2,5] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,1,3,5,2] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,1,5,2,3] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,1,5,3,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,2,1,3,5] => [1,3,5,2,4,7,6] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,2,1,5,3] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,2,3,1,5] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,2,3,5,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,2,5,1,3] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,2,5,3,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,1,2,5] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,1,5,2] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,2,1,5] => [1,5,2,3,4,7,6] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,2,5,1] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,5,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,3,5,2,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,4,7,5,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,3,4,7] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,3,7,4] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,4,3,7] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,4,7,3] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,7,3,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,2,7,4,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,2,4,7] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,2,7,4] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,4,2,7] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,4,7,2] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,7,2,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,3,7,4,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,4,2,3,7] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,4,2,7,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,4,3,2,7] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,4,3,7,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,4,7,2,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,4,7,3,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,7,2,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,7,2,4,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,7,3,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,7,3,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,7,4,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,1,7,4,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,1,3,4,7] => [1,3,4,7,2,5,6] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,1,3,7,4] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,1,4,3,7] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,1,4,7,3] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,1,7,3,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,1,7,4,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,3,1,4,7] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,3,1,7,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,3,4,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,3,4,7,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,3,7,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,3,7,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,1,3,7] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,1,7,3] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,3,1,7] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,3,7,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,7,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,4,7,3,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,1,3,4] => [1,3,4,2,7,5,6] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,1,4,3] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,3,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,2,7,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,2,4,7] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,2,7,4] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,4,2,7] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,4,7,2] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,7,2,4] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,1,7,4,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,2,1,4,7] => [1,4,7,2,3,5,6] => [1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,2,1,7,4] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,2,4,1,7] => [1,7,2,4,3,5,6] => [1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,2,4,7,1] => [1,2,4,7,3,5,6] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,2,7,1,4] => [1,4,2,7,3,5,6] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,2,7,4,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,4,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,4,1,7,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,4,2,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,4,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,4,7,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,4,7,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,1,4,2] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,2,1,4] => [1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,3,7,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,2,3,7] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,2,7,3] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,3,2,7] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,3,7,2] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,7,2,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,1,7,3,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,1,3,7] => [1,3,7,2,4,5,6] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,1,7,3] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,3,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,3,7,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,7,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,2,7,3,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,3,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,3,1,7,2] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,3,2,1,7] => [1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,3,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,3,7,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,3,7,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,7,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,7,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,7,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,7,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,7,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,4,7,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,1,2,3,4] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,1,2,4,3] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,1,3,2,4] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,1,3,4,2] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,1,4,2,3] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,1,4,3,2] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,2,1,3,4] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,2,1,4,3] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,2,3,1,4] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,2,3,4,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,2,4,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,2,4,3,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,3,1,2,4] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,3,1,4,2] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,3,2,1,4] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,3,2,4,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,3,4,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,3,4,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,4,1,2,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,4,1,3,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,4,2,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,4,2,3,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,4,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,5,7,4,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,2,3,4,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,2,3,5,4] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,2,4,3,5] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,2,4,5,3] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,2,5,3,4] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,2,5,4,3] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,3,2,4,5] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,3,2,5,4] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,3,4,2,5] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,3,4,5,2] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,3,5,2,4] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,3,5,4,2] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,4,2,3,5] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,4,2,5,3] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,4,3,2,5] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,4,3,5,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,4,5,2,3] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,4,5,3,2] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,5,2,3,4] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,5,2,4,3] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,5,3,2,4] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,5,3,4,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,5,4,2,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,1,5,4,3,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,1,3,4,5] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,1,3,5,4] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,1,4,3,5] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,1,4,5,3] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,1,5,3,4] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,1,5,4,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,3,1,4,5] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,3,1,5,4] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,3,4,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,3,4,5,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,3,5,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,3,5,4,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,4,1,3,5] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,4,1,5,3] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,4,3,1,5] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,4,3,5,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,4,5,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,4,5,3,1] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,5,1,3,4] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,5,1,4,3] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,5,3,1,4] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,5,3,4,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,5,4,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,2,5,4,3,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,1,2,4,5] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,1,2,5,4] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,1,4,2,5] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,1,4,5,2] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,1,5,2,4] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,1,5,4,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,2,1,4,5] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,2,1,5,4] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,2,4,1,5] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,2,4,5,1] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,2,5,1,4] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,2,5,4,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,4,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,4,1,5,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,4,2,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,4,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,4,5,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,4,5,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,5,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,5,1,4,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,5,2,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,5,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,5,4,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,3,5,4,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,1,2,3,5] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,1,2,5,3] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,1,3,2,5] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,1,3,5,2] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,1,5,2,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,1,5,3,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,2,1,3,5] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,2,1,5,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,2,3,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,2,3,5,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,2,5,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,2,5,3,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,3,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,3,1,5,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,3,2,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,3,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,3,5,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,3,5,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,5,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,5,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,5,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,5,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,5,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,4,5,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,1,2,4,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,1,3,2,4] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,1,3,4,2] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,1,4,2,3] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,1,4,3,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,2,1,3,4] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,2,1,4,3] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,2,3,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,2,4,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,2,4,3,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,3,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,3,1,4,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,3,2,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,3,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,4,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,4,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[6,7,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,3,4,5,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,3,4,6,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,3,5,4,6] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,3,5,6,4] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,3,6,4,5] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,3,6,5,4] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,4,3,5,6] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,4,3,6,5] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,4,5,3,6] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,4,5,6,3] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,4,6,3,5] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,4,6,5,3] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,5,3,4,6] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,5,3,6,4] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,5,4,3,6] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,5,4,6,3] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,5,6,3,4] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,5,6,4,3] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,6,3,4,5] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,6,3,5,4] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,6,4,3,5] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,6,4,5,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,6,5,3,4] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,2,6,5,4,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,2,4,5,6] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,2,4,6,5] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,2,5,4,6] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,2,5,6,4] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,2,6,4,5] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,2,6,5,4] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,4,2,5,6] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,4,2,6,5] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,4,5,2,6] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,4,5,6,2] => [1,3,4,5,6,2,7] => [1,6,2,3,4,5,7] => [7,2,6,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,4,6,2,5] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,4,6,5,2] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,5,2,4,6] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,5,2,6,4] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,5,4,2,6] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,5,4,6,2] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,5,6,2,4] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,5,6,4,2] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,6,2,4,5] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,6,2,5,4] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,6,4,2,5] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,6,4,5,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,6,5,2,4] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,3,6,5,4,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,2,3,5,6] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,2,3,6,5] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,2,5,3,6] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,2,5,6,3] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,2,6,3,5] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,2,6,5,3] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,3,2,5,6] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,3,2,6,5] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,3,5,2,6] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,3,5,6,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,3,6,2,5] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,3,6,5,2] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,5,2,3,6] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,5,2,6,3] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,5,3,2,6] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,5,3,6,2] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,5,6,2,3] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,5,6,3,2] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,6,2,3,5] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,6,2,5,3] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,6,3,2,5] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,6,3,5,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,6,5,2,3] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,4,6,5,3,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,2,3,4,6] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,2,3,6,4] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,2,4,3,6] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,2,4,6,3] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,2,6,3,4] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,2,6,4,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,3,2,4,6] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,3,2,6,4] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,3,4,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,3,4,6,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,3,6,2,4] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,3,6,4,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,4,2,3,6] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,4,2,6,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,4,3,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,4,3,6,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,4,6,2,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,4,6,3,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,6,2,3,4] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,6,2,4,3] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,6,3,2,4] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,6,3,4,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,6,4,2,3] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,5,6,4,3,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,2,3,4,5] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,2,3,5,4] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,2,4,3,5] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,2,4,5,3] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,2,5,3,4] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,2,5,4,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,3,2,4,5] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,3,2,5,4] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,3,4,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,3,4,5,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,3,5,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,3,5,4,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,4,2,3,5] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,4,2,5,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,4,3,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,4,3,5,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,4,5,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,4,5,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,5,2,3,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,5,2,4,3] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,5,3,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,5,3,4,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,5,4,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,1,6,5,4,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,3,4,5,6] => [1,3,4,5,6,2,7] => [1,6,2,3,4,5,7] => [7,2,6,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,3,4,6,5] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,3,5,4,6] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,3,5,6,4] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,3,6,4,5] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,3,6,5,4] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,4,3,5,6] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,4,3,6,5] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,4,5,3,6] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,4,5,6,3] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,4,6,3,5] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,4,6,5,3] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,5,3,4,6] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,5,3,6,4] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,5,4,3,6] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,5,4,6,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,5,6,3,4] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,5,6,4,3] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,6,3,4,5] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,6,3,5,4] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,6,4,3,5] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,6,4,5,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,6,5,3,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,1,6,5,4,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,1,4,5,6] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,1,4,6,5] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,1,5,4,6] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,1,5,6,4] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,1,6,4,5] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,1,6,5,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,1,5,6] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,1,6,5] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,5,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,5,6,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,6,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,4,6,5,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,1,4,6] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,1,6,4] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,4,1,6] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,4,6,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,6,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,5,6,4,1] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,1,4,5] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,1,5,4] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,4,1,5] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,4,5,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,5,1,4] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,3,6,5,4,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,3,5,6] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,3,6,5] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,5,3,6] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,5,6,3] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,6,3,5] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,1,6,5,3] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,3,1,5,6] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,3,1,6,5] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,3,5,1,6] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,3,5,6,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,3,6,1,5] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,3,6,5,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,1,3,6] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,1,6,3] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,3,1,6] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,3,6,1] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,6,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,5,6,3,1] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,1,3,5] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,1,5,3] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,3,1,5] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,3,5,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,5,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,4,6,5,3,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,3,4,6] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,3,6,4] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,4,3,6] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,4,6,3] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,6,3,4] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,1,6,4,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,1,4,6] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,1,6,4] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,4,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,4,6,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,6,1,4] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,3,6,4,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,1,3,6] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,1,6,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,3,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,3,6,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,6,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,4,6,3,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,1,3,4] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,1,4,3] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,3,1,4] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,3,4,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,4,1,3] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,5,6,4,3,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,1,3,4,5] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,1,3,5,4] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,1,4,3,5] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,1,4,5,3] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,1,5,3,4] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,1,5,4,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,1,4,5] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,1,5,4] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,4,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,4,5,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,5,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,3,5,4,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,1,3,5] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,1,5,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,3,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,3,5,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,5,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,4,5,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,1,3,4] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,1,4,3] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,3,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,3,4,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,4,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,2,6,5,4,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,2,4,5,6] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,2,4,6,5] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,2,5,4,6] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,2,5,6,4] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,2,6,4,5] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,2,6,5,4] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,2,5,6] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,2,6,5] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,5,2,6] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,5,6,2] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,6,2,5] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,4,6,5,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,2,4,6] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,2,6,4] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,4,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,4,6,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,6,2,4] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,5,6,4,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,2,4,5] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,2,5,4] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,4,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,4,5,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,5,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,1,6,5,4,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,1,4,5,6] => [1,4,5,6,2,3,7] => [1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,1,4,6,5] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,1,5,4,6] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,1,5,6,4] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,1,6,4,5] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,1,6,5,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,4,1,5,6] => [1,5,6,2,4,3,7] => [1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,4,1,6,5] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,4,5,1,6] => [1,6,2,4,5,3,7] => [1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,4,5,6,1] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,4,6,1,5] => [1,5,2,4,6,3,7] => [1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,4,6,5,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,5,1,4,6] => [1,4,6,2,5,3,7] => [1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,5,1,6,4] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,5,4,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,5,4,6,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,5,6,1,4] => [1,4,2,5,6,3,7] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,5,6,4,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,6,1,4,5] => [1,4,5,2,6,3,7] => [1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,6,1,5,4] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,6,4,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,6,4,5,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,6,5,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,2,6,5,4,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,2,5,6] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,2,6,5] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,5,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,5,6,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,6,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,1,6,5,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,2,1,5,6] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,2,1,6,5] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,2,5,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,2,5,6,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,2,6,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,2,6,5,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,1,6,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,2,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,6,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,5,6,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,1,5,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,2,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,5,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,4,6,5,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,2,4,6] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,2,6,4] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,4,2,6] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,4,6,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,6,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,1,6,4,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,1,4,6] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,1,6,4] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,4,1,6] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,4,6,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,6,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,2,6,4,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,1,2,6] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,1,6,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,2,1,6] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,2,6,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,6,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,4,6,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,1,4,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,2,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,4,1,2] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,5,6,4,2,1] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,2,4,5] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,2,5,4] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,4,2,5] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,4,5,2] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,5,2,4] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,1,5,4,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,1,4,5] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,1,5,4] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,4,1,5] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,4,5,1] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,5,1,4] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,2,5,4,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,1,2,5] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,1,5,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,2,1,5] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,2,5,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,5,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,4,5,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,1,2,4] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,1,4,2] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,2,1,4] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,2,4,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,4,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,3,6,5,4,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,3,5,6] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,3,6,5] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,5,3,6] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,5,6,3] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,6,3,5] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,2,6,5,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,2,5,6] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,2,6,5] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,5,2,6] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,5,6,2] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,6,2,5] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,3,6,5,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,2,3,6] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,2,6,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,3,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,3,6,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,6,2,3] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,5,6,3,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,2,3,5] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,2,5,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,3,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,3,5,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,5,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,1,6,5,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,3,5,6] => [1,3,5,6,2,4,7] => [1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,3,6,5] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,5,3,6] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,5,6,3] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,6,3,5] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,1,6,5,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,1,5,6] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,1,6,5] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,5,1,6] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,5,6,1] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,6,1,5] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,3,6,5,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,5,1,3,6] => [1,3,6,2,5,4,7] => [1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,5,1,6,3] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,5,3,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,5,3,6,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,5,6,1,3] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,5,6,3,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,6,1,3,5] => [1,3,5,2,6,4,7] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,6,1,5,3] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,6,3,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,6,3,5,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,6,5,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,2,6,5,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,2,5,6] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,2,6,5] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,5,2,6] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,5,6,2] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,6,2,5] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,1,6,5,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,1,5,6] => [1,5,6,2,3,4,7] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,1,6,5] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,5,1,6] => [1,6,2,5,3,4,7] => [1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,5,6,1] => [1,2,5,6,3,4,7] => [1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,6,1,5] => [1,5,2,6,3,4,7] => [1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,2,6,5,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,5,1,2,6] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,5,1,6,2] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,5,2,1,6] => [1,6,2,3,5,4,7] => [1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,5,2,6,1] => [1,2,6,3,5,4,7] => [1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,5,6,1,2] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,5,6,2,1] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,6,1,2,5] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,6,1,5,2] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,6,2,1,5] => [1,5,2,3,6,4,7] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,6,2,5,1] => [1,2,5,3,6,4,7] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,6,5,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,3,6,5,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,2,3,6] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,2,6,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,3,2,6] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,3,6,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,6,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,1,6,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,2,1,3,6] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,2,1,6,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,2,3,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,2,3,6,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,2,6,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,2,6,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,1,6,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,2,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,6,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,3,6,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,5,6,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,1,2,3,5] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,1,2,5,3] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,1,3,2,5] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,1,3,5,2] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,1,5,2,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,1,5,3,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,1,3,5] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,1,5,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,3,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,3,5,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,5,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,2,5,3,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,1,5,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,2,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,5,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,3,5,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,1,2,3] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,1,3,2] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,2,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,3,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,4,6,5,3,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,3,4,6] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,3,6,4] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,4,3,6] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,4,6,3] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,6,3,4] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,2,6,4,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,3,2,4,6] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,3,2,6,4] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,3,4,2,6] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,3,4,6,2] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,3,6,2,4] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,3,6,4,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,4,2,3,6] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,4,2,6,3] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,4,3,2,6] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,4,3,6,2] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,4,6,2,3] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,4,6,3,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,6,2,3,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,6,2,4,3] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,6,3,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,6,3,4,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,6,4,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,1,6,4,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,3,4,6] => [1,3,4,6,2,5,7] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,3,6,4] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,4,3,6] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,4,6,3] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,6,3,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,1,6,4,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,1,4,6] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,1,6,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,4,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,4,6,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,6,1,4] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,3,6,4,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,1,3,6] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,1,6,3] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,3,1,6] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,3,6,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,6,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,4,6,3,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,1,3,4] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,1,4,3] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,3,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,3,4,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,4,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,2,6,4,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,2,4,6] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,2,6,4] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,4,2,6] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,4,6,2] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,6,2,4] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,1,6,4,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,1,4,6] => [1,4,6,2,3,5,7] => [1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,1,6,4] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,4,1,6] => [1,6,2,4,3,5,7] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,4,6,1] => [1,2,4,6,3,5,7] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,6,1,4] => [1,4,2,6,3,5,7] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,2,6,4,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,1,6,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,2,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,6,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,4,6,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,1,2,4] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,1,4,2] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,2,1,4] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,2,4,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,4,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,3,6,4,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,2,3,6] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,2,6,3] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,3,2,6] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,3,6,2] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,6,2,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,1,6,3,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,1,3,6] => [1,3,6,2,4,5,7] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,1,6,3] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,3,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,3,6,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,6,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,2,6,3,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,1,6,2] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,2,1,6] => [1,6,2,3,4,5,7] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,6,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,3,6,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,6,1,2,3] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,6,1,3,2] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,6,2,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,6,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,6,3,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,4,6,3,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,1,2,4,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,1,3,2,4] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,1,3,4,2] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,1,4,2,3] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,1,4,3,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,1,3,4] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,1,4,3] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,3,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,4,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,2,4,3,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,1,4,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,2,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,5,6,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,2,3,4,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,2,3,5,4] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,2,4,3,5] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,2,4,5,3] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,2,5,3,4] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,2,5,4,3] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,3,2,4,5] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,3,2,5,4] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,3,4,2,5] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,3,4,5,2] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,3,5,2,4] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,3,5,4,2] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,4,2,3,5] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,4,2,5,3] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,4,3,2,5] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,4,3,5,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,4,5,2,3] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,4,5,3,2] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,5,2,3,4] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,5,2,4,3] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,5,3,2,4] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,5,3,4,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,5,4,2,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,1,5,4,3,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,1,3,4,5] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,1,3,5,4] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,1,4,3,5] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,1,4,5,3] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,1,5,3,4] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,1,5,4,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,1,4,5] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,1,5,4] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,4,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,4,5,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,5,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,3,5,4,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,1,3,5] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,1,5,3] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,3,1,5] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,3,5,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,5,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,4,5,3,1] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,1,3,4] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,1,4,3] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,3,1,4] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,3,4,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,4,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,2,5,4,3,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,2,4,5] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,2,5,4] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,4,2,5] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,4,5,2] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,5,2,4] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,1,5,4,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,1,4,5] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,1,5,4] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,4,1,5] => [1,5,2,4,3,6,7] => [1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,4,5,1] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,5,1,4] => [1,4,2,5,3,6,7] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,2,5,4,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,1,5,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,2,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,5,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,4,5,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,1,4,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,2,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,4,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,3,5,4,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,2,3,5] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,2,5,3] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,3,2,5] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,3,5,2] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,5,2,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,1,5,3,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,2,1,3,5] => [1,3,5,2,4,6,7] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,2,1,5,3] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,2,3,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,2,3,5,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,2,5,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,2,5,3,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,1,5,2] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,2,1,5] => [1,5,2,3,4,6,7] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,5,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,3,5,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,4,5,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,1,2,4,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,1,3,2,4] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,1,3,4,2] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,1,4,2,3] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,1,4,3,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,1,3,4] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,1,4,3] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,3,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,4,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,2,4,3,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,1,4,2] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,2,1,4] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,8,4,3,2,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,8,4,3,2,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,5,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,4,5,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,4,5,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,8,3,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,4,8,3,2,1] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,8,6,5] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,5,8,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,6,8,3,2,1] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,7,5,6] => [8,7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,6,8,3,2,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,8,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,5,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,6,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,4,5,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,4,3,6,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,3,8,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,7,3,8,2,1] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,7,3,8,2,1] => [1,2,3,8,4,6,7,5] => [1,2,3,6,7,8,5,4] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,3,8,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,3,4,8,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,3,5,8,2,1] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,4,5,8,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,5,7,8,2,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,6,7,8,2,1] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,5,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,6,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,5,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,4,5,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,8,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,3,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,7,3,2,4,1] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [8,7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,3,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,2,3,4,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,2,3,4,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,7,2,3,4,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,2,3,4,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,4,5,6,1] => [1,2,4,5,6,3,7,8] => [1,2,6,3,4,5,7,8] => [8,7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,3,2,8,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,4,3,2,8,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,4,3,2,8,1] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,7,3,2,8,1] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,3,2,8,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,3,7,2,8,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,3,7,2,8,1] => [1,2,8,3,7,4,6,5] => [1,2,8,5,7,6,4,3] => [8,7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,4,7,2,8,1] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,2,3,8,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,5,2,3,8,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,7,2,3,8,1] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,2,3,8,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,3,2,4,8,1] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,2,3,4,8,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,3,4,5,8,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,6,7,8,1] => [1,2,6,7,8,3,4,5] => [1,2,6,3,7,4,8,5] => [8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,2,6,7,8,1] => [1,2,6,7,8,3,4,5] => [1,2,6,3,7,4,8,5] => [8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,4,6,7,8,1] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,5,6,7] => [8,7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,5,6,7,8,1] => [1,2,5,6,7,8,3,4] => [1,2,7,3,5,8,4,6] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,5,6,7,8,1] => [1,2,5,6,7,8,3,4] => [1,2,7,3,5,8,4,6] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,5,6,7,8,1] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,5,6,7,8,1] => [1,2,4,5,6,7,8,3] => [1,2,8,3,4,5,6,7] => [8,7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,5,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,6,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,8,4,3,1,2] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,5,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,4,5,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,8,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,8,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,8,3,4,1,2] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,8,3,4,1,2] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,3,4,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,4,3,6,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,5,3,6,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,3,4,6,1,2] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,4,5,6,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,5,6,7,1,2] => [1,2,3,5,6,7,4,8] => [1,2,3,7,4,5,6,8] => [8,7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,5,6,7,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,3,8,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,4,3,8,1,2] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,4,3,8,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,5,3,8,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,7,3,8,1,2] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,7,3,8,1,2] => [1,2,3,8,4,6,7,5] => [1,2,3,6,7,8,5,4] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,3,8,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,4,7,8,1,2] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,5,7,8,1,2] => [1,2,3,5,7,8,4,6] => [1,2,3,7,4,5,8,6] => [8,7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,5,7,8,1,2] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,6,7,8,1,2] => [1,2,3,6,7,8,4,5] => [1,2,3,8,5,7,4,6] => [8,7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,6,7,8,1,2] => [1,2,3,6,7,8,4,5] => [1,2,3,8,5,7,4,6] => [8,7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,6,7,8,1,2] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,6,7,8,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,4,2,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,4,2,1,3] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [8,6,7,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,4,2,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,8,2,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,4,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,7,4,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,8,4,1,2,3] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,4,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,5,8,1,2,3] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,7,8,1,2,3] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,8,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,3,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,3,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,3,2,1,4] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,3,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,2,3,1,4] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,2,3,1,4] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,8,2,3,1,4] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,2,3,1,4] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,3,1,2,4] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,3,1,2,4] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,8,3,1,2,4] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,3,1,2,4] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,1,2,3,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,7,1,2,3,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,8,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,8,1,2,3,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,8,1,2,3,4] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,3,2,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,3,2,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,4,2,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,4,2,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,2,3,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,2,3,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,2,4,1,5] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,2,4,1,5] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,2,3,4,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,3,4,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,3,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,3,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,4,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,4,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,2,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,2,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,2,1,4,5] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,2,1,4,5] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,2,3,1,4,5] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,3,1,4,5] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,1,2,4,5] => [1,2,4,5,3,6,7,8] => [1,2,5,3,4,6,7,8] => [8,7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,1,2,4,5] => [1,2,4,5,3,6,7,8] => [1,2,5,3,4,6,7,8] => [8,7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,2,1,3,4,5] => [1,3,4,5,2,6,7,8] => [1,5,2,3,4,6,7,8] => [8,4,7,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,1,3,4,5] => [1,3,4,5,2,6,7,8] => [1,5,2,3,4,6,7,8] => [8,4,7,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,1,2,3,4,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,4,3,2,1,6] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,5,2,3,1,6] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,4,2,5,1,6] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,4,2,1,3,6] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,4,1,2,3,6] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,5,1,2,3,6] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,4,1,2,5,6] => [1,2,5,6,3,4,7,8] => [1,2,5,3,6,4,7,8] => [8,7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,2,1,3,5,6] => [1,3,5,6,2,4,7,8] => [1,5,2,3,6,4,7,8] => [8,4,7,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,2,1,4,5,6] => [1,4,5,6,2,3,7,8] => [1,6,3,5,2,4,7,8] => [8,3,6,4,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,1,4,5,6] => [1,4,5,6,2,3,7,8] => [1,6,3,5,2,4,7,8] => [8,3,6,4,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,3,4,5,6] => [1,3,4,5,6,2,7,8] => [1,6,2,3,4,5,7,8] => [8,3,7,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,3,2,1,7] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,6,3,2,1,7] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,3,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,3,4,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,5,6,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,2,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,5,1,2,3,7] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,1,3,4,7] => [1,3,4,7,2,5,6,8] => [1,7,6,5,2,3,4,8] => [8,2,3,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,2,1,5,6,7] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,4,1,5,6,7] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,3,5,6,7] => [1,2,3,5,6,7,4,8] => [1,2,3,7,4,5,6,8] => [8,7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,1,4,5,6,7] => [1,4,5,6,7,2,3,8] => [1,6,2,4,7,3,5,8] => [8,3,7,5,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,1,4,5,6,7] => [1,4,5,6,7,2,3,8] => [1,6,2,4,7,3,5,8] => [8,3,7,5,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,3,4,5,6,7] => [1,3,4,5,6,7,2,8] => [1,7,2,3,4,5,6,8] => [8,2,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,4,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,4,3,2,1,8] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,4,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,5,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,6,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,7,3,2,1,8] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,3,4,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,3,4,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,3,5,2,1,8] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,4,5,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,3,6,2,1,8] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,4,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,4,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,5,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,5,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,6,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,7,2,3,1,8] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,3,2,4,1,8] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,3,2,4,1,8] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,2,3,4,1,8] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,4,2,5,1,8] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,2,3,6,1,8] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,4,2,7,1,8] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,6,2,7,1,8] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,6,7,1,8] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,5,6,7,1,8] => [1,8,2,4,5,6,7,3] => [1,4,5,6,7,8,3,2] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,7,1,8] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,3,1,2,8] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,4,3,1,2,8] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,6,3,1,2,8] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,3,1,2,8] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,2,1,3,8] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,4,2,1,3,8] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,6,2,1,3,8] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,6,2,1,3,8] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,2,1,3,8] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,4,1,2,3,8] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,4,1,2,3,8] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,6,1,2,3,8] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,7,1,2,3,8] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,7,1,2,3,8] => [1,2,3,8,4,6,7,5] => [1,2,3,6,7,8,5,4] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,1,2,3,8] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,3,1,2,4,8] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,2,1,3,4,8] => [1,3,4,8,2,5,6,7] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,1,2,3,4,8] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,8,6,5] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,3,2,1,5,8] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,3,1,2,5,8] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,2,3,4,5,8] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,1,2,4,6,8] => [1,2,4,6,8,3,5,7] => [1,2,6,3,4,8,7,5] => [8,7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,2,3,4,6,8] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,7,5,6] => [8,7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,2,1,5,6,8] => [1,5,6,8,2,3,4,7] => [1,5,2,6,3,8,7,4] => [8,4,7,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,2,4,5,6,8] => [1,2,4,5,6,8,3,7] => [1,2,8,7,3,4,5,6] => [8,7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,3,4,5,6,8] => [1,3,4,5,6,8,2,7] => [1,8,7,2,3,4,5,6] => [8,1,2,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,4,5,6,8] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,3,2,1,7,8] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,1,7,8] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,3,1,2,7,8] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,3,1,2,7,8] => [1,2,7,8,3,4,6,5] => [1,2,8,5,3,7,6,4] => [8,7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,4,1,2,7,8] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,6,1,2,7,8] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,2,1,3,7,8] => [1,3,7,8,2,4,6,5] => [1,8,5,2,3,7,6,4] => [8,1,4,7,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,1,2,3,7,8] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,2,1,4,7,8] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,2,1,5,7,8] => [1,5,7,8,2,3,4,6] => [1,5,2,8,6,3,7,4] => [8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,1,2,5,7,8] => [1,2,5,7,8,3,4,6] => [1,2,7,4,8,6,3,5] => [8,7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,3,5,7,8] => [1,2,3,5,7,8,4,6] => [1,2,3,7,4,5,8,6] => [8,7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,1,4,5,7,8] => [1,4,5,7,8,2,3,6] => [1,8,6,2,4,7,3,5] => [8,1,3,7,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,4,5,7,8] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,1,6,7,8] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,3,1,6,7,8] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,4,1,6,7,8] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,1,6,7,8] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,2,4,6,7,8] => [1,2,4,6,7,8,3,5] => [1,2,8,5,7,3,4,6] => [8,7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,4,6,7,8] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,5,6,7] => [8,7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,5,6,7,8] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,5,6,7,8] => [1,5,6,7,8,2,4,3] => [1,7,4,8,3,6,2,5] => [8,2,5,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,5,6,7,8] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,5,6,7,8] => [1,2,5,6,7,8,3,4] => [1,2,7,3,5,8,4,6] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,5,6,7,8] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,4,5,6,7,8] => [1,4,5,6,7,8,2,3] => [1,8,3,5,7,2,4,6] => [8,1,6,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,4,5,6,7,8] => [1,2,4,5,6,7,8,3] => [1,2,8,3,4,5,6,7] => [8,7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2] => [1,8,2,3,4,5,6,7] => [8,1,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,7,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,6,5,3,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,5,8,3,2,1] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,6,5,7] => [8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,8,5,4,2,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,7,6,4,2,1] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,8,7,4,2,1] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,7,8,4,2,1] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,7,6,5,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,8,7,6,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,5,8,7,2,1] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,4,3,8,2,1] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,6,5,4,3,1] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,7,5,4,3,1] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,7,8,4,3,1] => [1,2,5,6,7,8,3,4] => [1,2,7,3,5,8,4,6] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,7,6,5,3,1] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,8,7,5,3,1] => [1,2,4,6,8,3,5,7] => [1,2,6,3,4,8,7,5] => [8,7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,6,8,7,4,1] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,6,7,8,4,1] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,8,7,6,5,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,8,7,6,5,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,8,7,6,5,1] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,8,7,6,5,1] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,7,6,5,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,8,7,6,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,7,8,6,1] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,5,7,8,6,1] => [1,2,5,7,8,3,4,6] => [1,2,7,4,8,6,3,5] => [8,7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,5,2,8,7,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,5,4,8,7,1] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,6,5,8,7,1] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [8,7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,6,8,7,1] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,5,6,8,7,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,5,7,2,8,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,7,6,3,8,1] => [1,2,5,3,8,4,7,6] => [1,2,7,8,6,4,3,5] => [8,7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,5,7,4,8,1] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,7,6,5,8,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,7,6,5,8,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,6,7,5,8,1] => [1,2,6,7,3,4,5,8] => [1,2,7,5,3,6,4,8] => [8,7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,7,6,5,8,1] => [1,2,4,3,7,5,8,6] => [1,2,4,3,8,6,5,7] => [8,7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,7,6,5,8,1] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,6,5,7] => [8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,7,6,8,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,4,7,6,8,1] => [1,2,5,3,4,7,6,8] => [1,2,5,4,3,7,6,8] => [8,7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,4,7,6,8,1] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,5,7,6,8,1] => [1,2,4,5,7,3,6,8] => [1,2,7,6,3,4,5,8] => [8,7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,6,5,7,8,1] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,3,6,7,8,1] => [1,2,5,3,6,7,8,4] => [1,2,8,4,3,5,6,7] => [8,7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,6,5,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,8,6,5,4,3,2] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,7,5,4,3,2] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,8,5,4,3,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,8,5,4,3,2] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,7,6,4,3,2] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,8,4,3,2] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,7,8,4,3,2] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,7,6,5,3,2] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,7,8,6,5,3,2] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,7,8,6,4,2] => [1,3,5,7,8,2,4,6] => [1,7,4,8,6,2,3,5] => [8,2,5,1,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,5,7,8,4,2] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,6,7,8,4,2] => [1,3,5,6,7,8,2,4] => [1,7,2,3,5,8,4,6] => [8,2,7,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,8,7,6,5,2] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,7,6,8,5,2] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,8,7,6,5,2] => [1,3,4,8,2,5,6,7] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,7,6,8,5,2] => [1,3,4,7,2,5,6,8] => [1,7,6,5,2,3,4,8] => [8,2,3,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,5,7,8,6,2] => [1,3,4,5,7,8,2,6] => [1,7,2,3,4,5,8,6] => [8,2,7,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,4,3,8,7,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,4,3,8,7,2] => [1,5,6,2,3,8,4,7] => [1,8,7,4,2,5,3,6] => [8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,6,5,8,7,2] => [1,4,2,3,6,5,8,7] => [1,4,3,2,6,5,8,7] => [8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,5,6,8,7,2] => [1,3,4,5,6,8,2,7] => [1,8,7,2,3,4,5,6] => [8,1,2,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,3,6,7,8,2] => [1,5,2,3,6,7,8,4] => [1,8,4,3,2,5,6,7] => [8,1,5,6,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,3,6,7,8,2] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,5,6,7,8,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,5,6,7,8,2] => [1,3,4,5,6,7,8,2] => [1,8,2,3,4,5,6,7] => [8,1,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,6,5,4,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,7,8,5,4,3] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,5,8,7,4,3] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,6,5,8,4,3] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,7,5,8,4,3] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,5,7,8,4,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,6,7,8,4,3] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,8,7,6,5,3] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,7,8,6,5,3] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,5,8,7,6,3] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,5,7,8,6,3] => [1,4,5,7,8,2,3,6] => [1,8,6,2,4,7,3,5] => [8,1,3,7,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,5,7,4,8,3] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,4,7,6,8,3] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,5,6,7,8,3] => [1,4,5,6,7,8,2,3] => [1,8,3,5,7,2,4,6] => [8,1,6,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,7,8,5,4,3] => [1,2,6,7,8,3,4,5] => [1,2,6,3,7,4,8,5] => [8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,6,7,8,4,3] => [1,2,5,6,7,8,3,4] => [1,2,7,3,5,8,4,6] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,8,7,6,5,3] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,7,8,6,5,3] => [1,2,4,7,8,3,5,6] => [1,2,8,6,3,4,7,5] => [8,7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,6,7,8,5,3] => [1,2,4,6,7,8,3,5] => [1,2,8,5,7,3,4,6] => [8,7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,5,4,7,8,3] => [1,2,6,3,4,7,8,5] => [1,2,8,5,4,3,6,7] => [8,7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,6,4,7,8,3] => [1,2,5,6,3,4,7,8] => [1,2,5,3,6,4,7,8] => [8,7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,4,6,7,8,3] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,5,6,7,8,3] => [1,2,4,5,6,7,8,3] => [1,2,8,3,4,5,6,7] => [8,7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,7,6,5,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,8,6,5,4] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,8,7,5,4] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,6,8,5,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,7,8,5,4] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,5,8,7,6,4] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,5,7,8,6,4] => [1,5,7,8,2,3,4,6] => [1,5,2,8,6,3,7,4] => [8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,5,8,7,4] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,5,6,8,7,4] => [1,5,6,8,2,3,4,7] => [1,5,2,6,3,8,7,4] => [8,4,7,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,6,5,8,4] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,7,5,8,4] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,5,7,8,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,5,6,7,8,4] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,8,7,6,5,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,8,7,6,5,4] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,8,7,6,5,4] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,7,6,5,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,8,6,5,4] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,8,7,5,4] => [1,2,3,6,8,4,5,7] => [1,2,3,6,4,8,7,5] => [8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,6,8,5,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,7,8,5,4] => [1,2,3,6,7,8,4,5] => [1,2,3,8,5,7,4,6] => [8,7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,5,8,7,6,4] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,5,7,8,6,4] => [1,2,3,5,7,8,4,6] => [1,2,3,7,4,5,8,6] => [8,7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,5,8,7,4] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,5,6,8,7,4] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,6,5,8,4] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,7,5,8,4] => [1,2,3,6,7,4,5,8] => [1,2,3,6,4,7,5,8] => [8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,5,7,8,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,5,6,7,8,4] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,7,8,6,5] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,6,8,7,5] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,1,7,8,6,5] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,1,6,8,7,5] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,1,8,7,6,5] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,1,7,6,8,5] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,1,6,7,8,5] => [1,6,7,8,2,4,3,5] => [1,7,3,8,5,2,6,4] => [8,2,6,1,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,8,7,6,5] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,7,6,8,5] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,6,7,8,5] => [1,6,7,8,2,4,3,5] => [1,7,3,8,5,2,6,4] => [8,2,6,1,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,7,8,6,5] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,6,8,7,5] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,2,8,7,6,5] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,2,6,7,8,5] => [1,4,2,6,7,8,3,5] => [1,8,5,7,3,2,4,6] => [8,1,4,2,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,2,8,7,6,5] => [1,3,4,2,8,5,6,7] => [1,4,2,3,8,7,6,5] => [8,5,7,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,2,7,6,8,5] => [1,3,4,2,7,5,6,8] => [1,4,2,3,7,6,5,8] => [8,5,7,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,2,6,7,8,5] => [1,3,4,2,6,7,8,5] => [1,4,2,3,8,5,6,7] => [8,5,7,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,8,7,6,5] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,7,6,8,5] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,6,7,8,5] => [1,4,2,3,6,7,8,5] => [1,4,3,2,8,5,6,7] => [8,5,6,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,3,8,7,6,5] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,3,7,6,8,5] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,3,6,7,8,5] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,5,6,7] => [8,7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,4,8,7,6,5] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,4,7,8,6,5] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,4,6,7,8,5] => [1,4,6,7,8,2,3,5] => [1,7,3,6,2,4,8,5] => [8,2,6,3,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,4,8,7,6,5] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,4,6,7,8,5] => [1,4,6,7,8,2,3,5] => [1,7,3,6,2,4,8,5] => [8,2,6,3,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,4,8,7,6,5] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,7,6,5] => [8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,4,7,6,8,5] => [1,3,2,4,7,5,6,8] => [1,3,2,4,7,6,5,8] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,4,6,7,8,5] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,5,6,7] => [8,6,7,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,4,8,7,6,5] => [1,3,4,8,2,5,6,7] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,4,7,6,8,5] => [1,3,4,7,2,5,6,8] => [1,7,6,5,2,3,4,8] => [8,2,3,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,8,7,6,5] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,7,8,6,5] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,7,6,8,5] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,6,7,8,5] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,5,6,7] => [8,7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,1,7,8,6] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,4,2,1,8,7,6] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,2,1,8,7,6] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,3,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,3,1,8,7,6] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,4,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,4,1,8,7,6] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,5,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,5,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,5,1,8,7,6] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,5,1,8,7,6] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,5,8,7,6] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,5,7,8,6] => [1,5,7,8,2,3,4,6] => [1,5,2,8,6,3,7,4] => [8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,5,7,8,6] => [1,5,7,8,2,4,3,6] => [1,5,2,7,3,8,6,4] => [8,4,7,2,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,5,8,7,6] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,5,7,8,6] => [1,5,7,8,2,3,4,6] => [1,5,2,8,6,3,7,4] => [8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,4,5,8,7,6] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,4,5,7,8,6] => [1,4,5,7,8,2,3,6] => [1,8,6,2,4,7,3,5] => [8,1,3,7,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,7,8,6] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,3,2,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,3,2,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,3,2,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,4,2,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,5,2,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,6,2,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,6,2,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,5,4,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,6,5,1,8,7] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,6,1,8,7] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,2,6,1,8,7] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,2,6,1,8,7] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,4,6,1,8,7] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,5,6,1,8,7] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,5,4,3,8,7] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,6,4,3,8,7] => [1,5,6,2,3,8,4,7] => [1,8,7,4,2,5,3,6] => [8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,6,5,3,8,7] => [1,4,6,2,3,8,5,7] => [1,4,2,8,7,5,3,6] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,4,6,3,8,7] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,1,6,5,8,7] => [1,6,2,4,3,5,8,7] => [1,4,6,5,3,2,8,7] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,6,5,8,7] => [1,6,2,4,3,5,8,7] => [1,4,6,5,3,2,8,7] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => [1,4,3,2,6,5,8,7] => [8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,1,6,8,7] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,4,3,6,8,7] => [1,5,2,3,6,8,4,7] => [1,8,7,4,3,2,5,6] => [8,1,2,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,5,6,8,7] => [1,5,6,8,2,3,4,7] => [1,5,2,6,3,8,7,4] => [8,4,7,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,5,6,8,7] => [1,5,6,8,2,3,4,7] => [1,5,2,6,3,8,7,4] => [8,4,7,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,4,5,6,8,7] => [1,3,4,5,6,8,2,7] => [1,8,7,2,3,4,5,6] => [8,1,2,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,4,3,2,1,8] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,5,3,2,1,8] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,6,5,2,1,8] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,6,5,4,1,8] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,7,5,4,1,8] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,7,6,1,8] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,2,7,6,1,8] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,7,6,1,8] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,6,7,5,2,8] => [1,3,4,6,7,2,8,5] => [1,6,2,3,4,8,5,7] => [8,3,7,6,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,5,7,6,2,8] => [1,3,4,5,7,2,8,6] => [1,8,6,2,3,4,5,7] => [8,1,3,7,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,7,5,4,3,8] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,5,6,7,4,8] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,7,6,5,8] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,6,7,5,8] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,7,6,5,8] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,6,7,5,8] => [1,6,7,2,4,3,5,8] => [1,7,5,4,2,6,3,8] => [8,2,4,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,7,6,5,8] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,6,7,5,8] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,2,6,7,5,8] => [1,3,4,2,6,7,5,8] => [1,4,2,3,7,5,6,8] => [8,5,7,6,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,4,7,6,5,8] => [1,4,7,2,3,5,8,6] => [1,4,2,8,6,5,3,7] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,1,7,6,8] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,5,4,7,6,8] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,5,4,7,6,8] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [8,6,7,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,6,5,1,7,8] => [1,7,8,2,3,4,6,5] => [1,7,6,4,2,8,5,3] => [8,2,3,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,6,5,3,7,8] => [1,2,4,6,3,7,8,5] => [1,2,8,5,3,4,6,7] => [8,7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,6,5,7,8] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,6,5,7,8] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,6,5,7,8] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,4,1,6,7,8] => [1,6,7,8,2,5,3,4] => [1,6,5,2,7,3,8,4] => [8,3,4,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,8,6,7,5] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,5,8,6,7,4] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,5,6,8,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,5,6,7,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,5,7,6,4] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,6,5,7,4] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,6,7,5,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,5,8,6,7,3] => [1,2,4,5,8,3,6,7] => [1,2,8,7,6,3,4,5] => [8,7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,8,6,5,7,3] => [1,2,4,8,3,5,7,6] => [1,2,7,8,6,5,3,4] => [8,7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,4,5,7,8,3] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,5,4,6,7,3] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,8,6,5,7,4] => [1,3,2,8,4,5,7,6] => [1,3,2,7,8,6,5,4] => [8,6,7,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,4,5,6,2,8] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,5,4,6,7,2] => [1,3,8,2,4,6,7,5] => [1,6,7,8,5,4,2,3] => [8,3,2,1,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,5,6,7,4,2] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,6,5,7,4,2] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,4,6,7,8,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,5,4,8,7,2] => [1,6,2,3,5,4,8,7] => [1,5,6,4,3,2,8,7] => [8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,3,5,6,7,2] => [1,8,2,3,5,6,7,4] => [1,5,6,7,8,4,3,2] => [8,4,3,2,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,7,6,5,3,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,4,3,6,8,2] => [1,7,2,3,6,8,4,5] => [1,7,4,3,2,8,5,6] => [8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,4,3,6,7,2] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,4,7,6,3,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,4,5,6,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,4,6,5,3,2] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,5,4,7,3,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,5,4,6,3,2] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,5,6,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,8,5,7,6,4] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,8,6,7,5] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,5,8,6,7,3] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,4,5,3,8,7] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,4,6,5,8,3] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,4,7,6,3] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,5,6,4,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,8,6,7,5,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,8,6,7,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,5,6,7,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,5,7,6,1] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,8,6,5] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,6,5,7,1] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,8,6,5] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,6,7,5,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,4,5,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,7,4,5,6,8,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,4,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,4,8,6,7,1] => [1,2,5,3,4,8,6,7] => [1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,4,5,6,7,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,5,4,7,6,1] => [1,2,8,3,5,4,7,6] => [1,2,5,7,8,6,4,3] => [8,7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,5,8,6,7,4] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,5,6,8,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,5,6,7,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,5,7,6,4] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,6,5,7,4] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,6,7,5,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,8,6,7,5] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,5,4,6,1,8] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,1,8,6,7,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,5,1,8,7,6] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,7,5,6,8,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,7,6,5,8,1] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,8,7,6,5,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,4,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,4,6,5,1,8] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,6,5,4,1,8] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,3,1,6,7,8] => [1,6,7,8,2,4,3,5] => [1,7,3,8,5,2,6,4] => [8,2,6,1,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,3,1,7,6,8] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,3,1,8,7,6] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,3,6,1,7,8] => [1,7,8,2,4,3,6,5] => [1,8,5,4,2,7,6,3] => [8,1,4,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,3,6,1,8,7] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,3,7,6,8,1] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,3,6,5,8,1] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [8,7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,8,6,7,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,7,5,6,8,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,8,5,7,6,1] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,4,1,8,7,6] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,5,4,1,8,7] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,5,4,7,6,1] => [1,2,5,3,4,7,6,8] => [1,2,5,4,3,7,6,8] => [8,7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,7,6,5,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,2,1,7,8,6] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,4,6,5,2,1] => [1,2,3,7,4,6,5,8] => [1,2,3,6,7,5,4,8] => [8,7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,5,4,2,1,8] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,8,6,7,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,6,5,2,1,8] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,4,2,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,5,4,2,1,8] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,4,6,2,1] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,6,5,4,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,3,2,7,6,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,3,6,5,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,3,6,5,8,7] => [1,3,6,2,4,5,8,7] => [1,6,5,4,2,3,8,7] => [8,3,4,5,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,3,5,8,7] => [1,6,2,4,3,5,8,7] => [1,4,6,5,3,2,8,7] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,6,3,8,5,7] => [1,4,6,2,3,8,5,7] => [1,4,2,8,7,5,3,6] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,3,8,5,7] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,1,3,8,5,7] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,6,8,3,5,7] => [1,4,6,8,2,3,5,7] => [1,6,3,8,7,5,2,4] => [8,3,6,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,1,8,3,5,7] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,3,7,5,8] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,3,6,7,8,5] => [1,3,6,7,8,2,4,5] => [1,6,2,3,7,4,8,5] => [8,3,7,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,3,7,8,5] => [1,6,2,4,3,7,8,5] => [1,4,8,5,3,2,6,7] => [8,5,1,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,7,3,8,5] => [1,6,7,2,4,3,8,5] => [1,8,5,4,2,6,3,7] => [8,1,4,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,7,8,3,5] => [1,6,7,8,2,4,3,5] => [1,7,3,8,5,2,6,4] => [8,2,6,1,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,3,7,5,8,6] => [1,3,7,2,4,5,8,6] => [1,8,6,5,4,2,3,7] => [8,1,3,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,1,3,5,8,6] => [1,3,5,8,2,4,7,6] => [1,5,2,3,7,8,6,4] => [8,4,7,6,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,1,3,8,5,6] => [1,3,8,2,4,7,5,6] => [1,8,6,7,5,4,2,3] => [8,1,3,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,8,1,3,5,6] => [1,3,5,6,2,4,7,8] => [1,5,2,3,6,4,7,8] => [8,4,7,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,7,1,3,8,6] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,3,8,5,6,7] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,5,3,8,6,7] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,5,8,3,6,7] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,1,8,3,6,7] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,5,3,6,8,7] => [1,5,2,4,3,6,8,7] => [1,4,5,3,2,6,8,7] => [8,5,4,6,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,5,6,3,8,7] => [1,5,6,2,4,3,8,7] => [1,5,4,2,6,3,8,7] => [8,4,5,7,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,5,3,6,7,8] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,5,6,7,8,3] => [1,5,6,7,8,2,4,3] => [1,7,4,8,3,6,2,5] => [8,2,5,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,6,1,7,8,3] => [1,7,8,2,4,5,6,3] => [1,7,6,5,4,2,8,3] => [8,2,3,4,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,6,7,1,8,3] => [1,8,2,4,5,6,7,3] => [1,4,5,6,7,8,3,2] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,6,7,8,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,3,6,4,8,7] => [1,5,2,3,6,4,8,7] => [1,6,4,3,2,5,8,7] => [8,3,5,6,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,8,1,3,4,7] => [1,3,4,7,2,5,6,8] => [1,7,6,5,2,3,4,8] => [8,2,3,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,6,7,3,4,8] => [1,6,7,2,5,3,4,8] => [1,5,7,4,2,6,3,8] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,6,7,3,8,4] => [1,6,7,2,5,3,8,4] => [1,5,8,4,2,6,3,7] => [8,4,1,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,6,7,8,3,4] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,6,7,8,3,4] => [1,6,7,8,2,5,3,4] => [1,6,5,2,7,3,8,4] => [8,3,4,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,7,8,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,3,7,4,8,6] => [1,5,2,3,7,4,8,6] => [1,8,6,4,3,2,5,7] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,7,3,8,4,6] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,7,8,3,4,6] => [1,5,7,8,2,3,4,6] => [1,5,2,8,6,3,7,4] => [8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,8,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,1,7,4,8,6] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,1,6,4,7,8] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,1,6,7,8,4] => [1,6,7,8,2,3,5,4] => [1,7,5,2,6,3,8,4] => [8,2,4,7,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,6,7,8,1,4] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,3,7,4,8,5] => [1,3,7,2,6,4,8,5] => [1,8,5,6,4,2,3,7] => [8,1,4,3,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,1,3,4,8,5] => [1,3,4,8,2,6,7,5] => [1,6,7,8,5,2,3,4] => [8,3,2,1,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,7,8,4,5] => [1,6,2,3,7,8,4,5] => [1,8,5,7,4,3,2,6] => [8,1,4,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,7,3,8,4,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,7,8,3,4,5] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,8,1,3,4,5] => [1,3,4,5,2,6,7,8] => [1,5,2,3,4,6,7,8] => [8,4,7,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,6,4,7,5,8] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,1,4,7,5,8] => [1,4,7,2,3,6,5,8] => [1,4,2,6,7,5,3,8] => [8,5,7,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,4,7,8,5] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,6,7,8,4,5] => [1,3,6,7,8,2,4,5] => [1,6,2,3,7,4,8,5] => [8,3,7,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,6,7,8,4,5] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,1,7,8,4,5] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,4,8,5,7] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,6,4,8,5,7] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,6,8,4,5,7] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,1,8,4,5,7] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,1,4,5,8,7] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,6,8,5,7] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,3,4,5,7,8] => [1,3,4,5,7,8,2,6] => [1,7,2,3,4,5,8,6] => [8,2,7,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,6,1,7,5,8] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,6,7,8,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,3,4,5,6] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,8,3,4,5,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,1,3,4,5,6] => [1,3,4,5,6,2,7,8] => [1,6,2,3,4,5,7,8] => [8,3,7,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,7,8,1,4,5,6] => [1,4,5,6,2,3,7,8] => [1,6,3,5,2,4,7,8] => [8,3,6,4,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,4,7,8,5,6] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,7,8,5,6] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,7,1,8,5,6] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,3,4,5,6,8] => [1,3,4,5,6,8,2,7] => [1,8,7,2,3,4,5,6] => [8,1,2,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,7,5,6,8] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,7,1,8,6] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,7,8,1,6] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,3,4,5,6,7] => [1,3,4,5,6,7,2,8] => [1,7,2,3,4,5,6,8] => [8,2,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,8,4,5,6,7] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,4,8,5,6,7] => [1,3,4,8,2,5,6,7] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,4,8,5,6,7] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,1,5,6,7] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,5,8,6,7] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,1,8,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,8,1,6,7] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,8,1,7] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,6,5,8,7] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,6,5,8,7] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,6,8,5,7] => [1,4,2,6,8,3,5,7] => [1,6,3,2,4,8,7,5] => [8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,6,8,5,7] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,7,1,2,5,8] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,6,7,8,5] => [1,4,2,6,7,8,3,5] => [1,8,5,7,3,2,4,6] => [8,1,4,2,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,6,7,8,5] => [1,2,6,7,8,3,4,5] => [1,2,6,3,7,4,8,5] => [8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,1,2,7,8,5] => [1,2,7,8,3,4,6,5] => [1,2,8,5,3,7,6,4] => [8,7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,7,1,2,8,5] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,1,7,8,2,5] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,7,1,8,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,7,8,5,6] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,1,8,2,5,6] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,8,1,2,5,6] => [1,2,5,6,3,4,7,8] => [1,2,5,3,6,4,7,8] => [8,7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,7,1,2,8,6] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,8,5,6,7] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,8,5,6,7] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,8,1,2,6,7] => [1,2,6,7,3,4,5,8] => [1,2,7,5,3,6,4,8] => [8,7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,5,6,7,8] => [1,4,2,5,6,7,8,3] => [1,8,3,2,4,5,6,7] => [8,1,6,7,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,5,6,7,8,2] => [1,4,5,6,7,8,2,3] => [1,8,3,5,7,2,4,6] => [8,1,6,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,5,6,7,8,2] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,6,7,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,6,2,4,8,7] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,2,6,8,4,7] => [1,2,6,8,3,5,4,7] => [1,2,6,5,3,8,7,4] => [8,7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,1,7,2,4,8] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,7,8,1,2,4] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,7,2,4,8,6] => [1,5,7,2,4,8,3,6] => [1,5,4,2,7,3,8,6] => [8,4,5,7,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,7,2,8,4,6] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,7,2,8,4,6] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,7,8,2,4,6] => [1,7,8,2,4,6,3,5] => [1,6,8,5,4,2,7,3] => [8,3,1,4,5,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,8,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,5,3,4,7,8] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,2,7,4,6,8] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,2,7,4,8,6] => [1,3,5,2,7,4,8,6] => [1,8,6,4,2,3,5,7] => [8,1,3,5,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,2,8,4,6,7] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,7,6] => [8,6,7,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,8,2,4,6,7] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,2,6,7,4,8] => [1,3,5,2,6,7,4,8] => [1,7,4,2,3,5,6,8] => [8,2,5,7,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,6,2,7,4,8] => [1,3,5,6,2,7,4,8] => [1,5,2,3,7,4,6,8] => [8,4,7,6,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,6,7,8,2,4] => [1,3,5,6,7,8,2,4] => [1,7,2,3,5,8,4,6] => [8,2,7,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,2,7,4,8,5] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,2,8,4,5] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,1,2,8,4,5] => [1,2,8,3,6,7,4,5] => [1,2,8,5,6,7,4,3] => [8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,8,1,2,4,5] => [1,2,4,5,3,6,7,8] => [1,2,5,3,4,6,7,8] => [8,7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,7,2,4,5,8] => [1,6,7,2,4,5,8,3] => [1,6,5,4,2,8,3,7] => [8,3,4,5,7,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,2,4,7,5,8] => [1,2,4,7,3,6,5,8] => [1,2,6,7,5,3,4,8] => [8,7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,6,4,7,5,8] => [1,3,2,6,4,7,5,8] => [1,3,2,7,5,4,6,8] => [8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,2,4,7,8,5] => [1,3,6,2,4,7,8,5] => [1,8,5,4,2,3,6,7] => [8,1,4,5,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,2,7,8,4,5] => [1,3,6,2,7,8,4,5] => [1,8,5,7,4,2,3,6] => [8,1,4,2,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,2,8,4,5,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,8,2,4,5,7] => [1,6,8,2,4,5,7,3] => [1,6,5,4,2,7,8,3] => [8,3,4,5,7,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,2,4,5,7,8] => [1,6,2,4,5,7,8,3] => [1,4,5,8,3,2,6,7] => [8,5,4,1,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,4,6,7,8,5] => [1,2,4,6,7,8,3,5] => [1,2,8,5,7,3,4,6] => [8,7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,6,7,2,8,5] => [1,3,4,6,7,2,8,5] => [1,6,2,3,4,8,5,7] => [8,3,7,6,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,8,2,4,5,6] => [1,7,8,2,4,5,6,3] => [1,7,6,5,4,2,8,3] => [8,2,3,4,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,7,4,8,5,6] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,2,8,4,5,6] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,2,4,5,6,8] => [1,2,4,5,6,8,3,7] => [1,2,8,7,3,4,5,6] => [8,7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,5,7,8,2,6] => [1,3,4,5,7,8,2,6] => [1,7,2,3,4,5,8,6] => [8,2,7,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,4,5,6,7] => [1,8,2,4,5,6,7,3] => [1,4,5,6,7,8,3,2] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,4,8,5,6,7] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,7,6,5] => [8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,2,8,5,6,7] => [1,3,4,2,8,5,6,7] => [1,4,2,3,8,7,6,5] => [8,5,7,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,4,5,8,6,7] => [1,2,4,5,8,3,6,7] => [1,2,8,7,6,3,4,5] => [8,7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,2,6,3,8,7] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,2,6,3,8,7] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,6,2,8,3,7] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,1,2,8,3,7] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,6,8,2,3,7] => [1,5,6,8,2,3,7,4] => [1,5,2,6,3,7,8,4] => [8,4,7,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,8,1,2,3,7] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,6,2,7,3,8] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,1,7,2,3,8] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,1,2,8,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,6,7,8,2,3] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,1,8,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,2,7,3,8,6] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,7,2,3,8,6] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,7,2,8,3,6] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,7,8,2,3,6] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,8,1,2,3,6] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,2,7,3,6,8] => [1,2,7,3,6,8,4,5] => [1,2,7,4,3,8,5,6] => [8,7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,5,3,7,6,8] => [1,4,2,5,3,7,6,8] => [1,5,3,2,4,7,6,8] => [8,4,6,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,5,7,3,8,6] => [1,4,2,5,7,3,8,6] => [1,8,6,3,2,4,5,7] => [8,1,3,6,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,5,7,8,3,6] => [1,4,2,5,7,8,3,6] => [1,7,3,2,4,5,8,6] => [8,2,6,7,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,2,8,3,6,7] => [1,2,8,3,6,7,4,5] => [1,2,8,5,6,7,4,3] => [8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,5,8,3,6,7] => [1,4,2,5,8,3,6,7] => [1,8,7,6,3,2,4,5] => [8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,5,6,3,8,7] => [1,2,5,6,3,8,4,7] => [1,2,5,3,8,7,4,6] => [8,7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,2,6,3,8,7] => [1,4,5,2,6,3,8,7] => [1,4,2,6,3,5,8,7] => [8,5,7,3,6,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,5,3,6,7,8] => [1,4,2,5,3,6,7,8] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,2,6,3,7,8] => [1,4,5,2,6,3,7,8] => [1,4,2,6,3,5,7,8] => [8,5,7,3,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,5,6,7,3,8] => [1,4,2,5,6,7,3,8] => [1,7,3,2,4,5,6,8] => [8,2,6,7,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,6,2,7,3,8] => [1,4,5,6,2,7,3,8] => [1,7,3,5,2,4,6,8] => [8,2,6,4,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,6,7,2,3,8] => [1,4,5,6,7,2,3,8] => [1,6,2,4,7,3,5,8] => [8,3,7,5,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,5,6,7,8,3] => [1,2,5,6,7,8,3,4] => [1,2,7,3,5,8,4,6] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,5,6,7,8,3] => [1,4,2,5,6,7,8,3] => [1,8,3,2,4,5,6,7] => [8,1,6,7,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,2,6,7,8,3] => [1,4,5,2,6,7,8,3] => [1,4,2,8,3,5,6,7] => [8,5,7,1,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,6,7,8,2,3] => [1,4,5,6,7,8,2,3] => [1,8,3,5,7,2,4,6] => [8,1,6,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,7,3,8,5] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,2,7,8,3,5] => [1,2,7,8,3,5,4,6] => [1,2,8,6,5,3,7,4] => [8,7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,8,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,7,2,3,5,8] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,2,3,7,5,8] => [1,2,3,7,4,6,5,8] => [1,2,3,6,7,5,4,8] => [8,7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,6,3,7,5,8] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,3,7,8,5] => [1,6,2,3,7,8,4,5] => [1,8,5,7,4,3,2,6] => [8,1,4,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,6,7,3,8,5] => [1,2,6,7,3,8,4,5] => [1,2,7,4,8,5,3,6] => [8,7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,2,7,3,8,5] => [1,4,6,2,7,3,8,5] => [1,4,2,6,3,8,5,7] => [8,5,7,3,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,6,7,8,3,5] => [1,4,2,6,7,8,3,5] => [1,8,5,7,3,2,4,6] => [8,1,4,2,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,2,7,8,3,5] => [1,4,6,2,7,8,3,5] => [1,4,2,8,5,7,3,6] => [8,5,7,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,7,2,8,3,5] => [1,4,6,7,2,8,3,5] => [1,8,5,2,4,7,3,6] => [8,1,4,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,8,2,3,5,7] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,6,3,8,5,7] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,6,3,8,5,7] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,6,5,8,7] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,6,8,5,7] => [1,2,3,6,8,4,5,7] => [1,2,3,6,4,8,7,5] => [8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,2,3,5,7,8] => [1,2,3,5,7,8,4,6] => [1,2,3,7,4,5,8,6] => [8,7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,6,5,7,8] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,6,7,5,8] => [1,2,3,6,7,4,5,8] => [1,2,3,6,4,7,5,8] => [8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,6,7,8,5] => [1,2,3,6,7,8,4,5] => [1,2,3,8,5,7,4,6] => [8,7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,3,6,7,8,5] => [1,4,2,3,6,7,8,5] => [1,4,3,2,8,5,6,7] => [8,5,6,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,6,7,8,3,5] => [1,2,4,6,7,8,3,5] => [1,2,8,5,7,3,4,6] => [8,7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,7,8,3,5,6] => [1,2,7,8,3,5,6,4] => [1,2,7,6,5,3,8,4] => [8,7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,7,8,2,3,5,6] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,7,5,8,6] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,7,8,5,6] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,2,3,5,6,8] => [1,7,2,3,5,6,8,4] => [1,5,6,8,4,3,2,7] => [8,4,3,1,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,2,3,5,6,8] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,7,5,6,8] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,5,7,8,6] => [1,2,3,5,7,8,4,6] => [1,2,3,7,4,5,8,6] => [8,7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,5,7,3,8,6] => [1,2,4,5,7,3,8,6] => [1,2,8,6,3,4,5,7] => [8,7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,2,3,5,6,7] => [1,2,3,5,6,7,4,8] => [1,2,3,7,4,5,6,8] => [8,7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,3,5,6,7] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,8,5,6,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,5,8,6,7] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,5,6,8,7] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,7,3,8,4] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,2,7,8,3,4] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,6,3,7,4,8] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,2,3,7,8,4] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,7,8,2,3,4] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,2,8,3,4,7] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,2,3,8,4,7] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,6,3,8,4,7] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,2,3,8,4,7] => [1,5,6,2,3,8,4,7] => [1,8,7,4,2,5,3,6] => [8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,3,4,7,8] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,3,6,4,7,8] => [1,2,5,3,6,4,7,8] => [1,2,6,4,3,5,7,8] => [8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,6,3,4,7,8] => [1,2,5,6,3,4,7,8] => [1,2,5,3,6,4,7,8] => [8,7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,3,6,7,4,8] => [1,2,5,3,6,7,4,8] => [1,2,7,4,3,5,6,8] => [8,7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,6,7,8,4] => [1,2,3,6,7,8,4,5] => [1,2,3,8,5,7,4,6] => [8,7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,3,6,7,8,4] => [1,5,2,3,6,7,8,4] => [1,8,4,3,2,5,6,7] => [8,1,5,6,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,3,6,7,8,4] => [1,2,5,3,6,7,8,4] => [1,2,8,4,3,5,6,7] => [8,7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,6,3,7,8,4] => [1,2,5,6,3,7,8,4] => [1,2,5,3,8,4,6,7] => [8,7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,6,7,8,3,4] => [1,2,5,6,7,8,3,4] => [1,2,7,3,5,8,4,6] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,7,3,8,4,6] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,2,8,3,4,6] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,2,3,4,6,8] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,7,5,6] => [8,7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,7,3,4,6,8] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,3,7,4,6,8] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,8,3,4,6,7] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,8,3,4,6,7] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,2,3,4,6,7] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,8,4,6,7] => [1,2,3,8,4,6,7,5] => [1,2,3,6,7,8,5,4] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,4,6,8,7] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,7,5,6] => [8,7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,8,2,3,4,5] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,8,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,7,3,8,4,5] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,2,8,3,4,5] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,8,2,3,4,5] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,2,3,4,8,5] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,7,8,4,5] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,2,3,4,5,8] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,7,3,4,5,8] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,2,3,4,5,8] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,3,4,7,5,8] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,4,7,8,5] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,3,4,7,8,5] => [1,2,6,3,4,7,8,5] => [1,2,8,5,4,3,6,7] => [8,7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,4,7,8,5] => [1,2,3,6,4,7,8,5] => [1,2,3,8,5,4,6,7] => [8,7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,7,4,8,5] => [1,2,3,6,7,4,8,5] => [1,2,3,6,4,8,5,7] => [8,7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,2,3,4,5,7] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,8,3,4,5,7] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,8,3,4,5,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,2,3,4,5,7] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,3,4,8,5,7] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,3,4,8,5,7] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,4,8,5,7] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,4,5,8,7] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,2,3,4,5,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,8,3,4,5,6] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,8,3,4,5,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,8,2,3,4,5,6] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,3,8,4,5,6] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,4,8,5,6] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,4,5,8,6] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,3,4,5,8,6] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,3,4,5,8,6] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,4,5,8,6] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,7,5,8,6] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,6,5,7] => [8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,7,8,5,6] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,5,4,8,1,6] => [1,6,2,5,3,4,8,7] => [1,6,4,5,3,2,8,7] => [8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,2,3,7,6,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,2,3,8,1,6] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,2,1,3,8,7] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,1,3,2,8,7] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,3,8,2,1,5] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,1,3,8,2,6] => [1,3,8,2,6,4,7,5] => [1,7,8,5,6,4,2,3] => [8,2,1,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,5,4,8,2,6] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,5,4,8,3,6] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,5,4,7,6,2] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,3,1,7,6,2] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,3,7,1,5,2] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,3,6,5,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,7,3,1,4,2] => [1,4,2,3,5,7,6,8] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,1,7,3,5,2] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,6,7,4,5,2] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,6,7,4,5,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,6,8,4,3,5] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,8,1,3,2,4] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,2,8,3,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,6,7,4,5,1] => [1,2,6,7,3,4,5,8] => [1,2,7,5,3,6,4,8] => [8,7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,6,8,4,1,5] => [1,5,2,6,8,3,4,7] => [1,8,7,4,6,3,2,5] => [8,1,2,5,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,1,8,4,6] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,7,8,5,6] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,8,7,6,5] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,8,1,7,6,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,8,7,1,5,4] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,8,6,5,1,4] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,2,6,5,3,1] => [1,2,6,3,4,7,5,8] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,1,2,7,6,3] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,8,7,3,5,4] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,8,7,2,5,4] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,1,7,2,5,3] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,7,1,2,4,3] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,7,2,1,4,3] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,6,2,4,3,1] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [8,7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,8,1,6,5,2,3] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,8,6,5,2,4] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,6,5,3,4] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,7,6,5,4,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,1,6,5,3,2] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,1,4,3,2] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,5,4,1,3,2] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [8,6,7,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,3,2,1,8,7,10,9] => [1,8,2,3,4,5,6,7,10,9] => [1,8,7,6,5,4,3,2,10,9] => [10,3,4,5,6,7,8,9,1,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,7,6,5,4,3,2,1,10,9] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,7,8,9,10,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,5,4,3,2,1,10,9,8,7] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[4,3,2,1,10,9,8,7,6,5] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,10,9,8,7,6,5,4,3] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,3,5,1,2,4,7,8] => [1,2,4,7,8,3,5,6] => [1,2,8,6,3,4,7,5] => [8,7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,1,2,4,6,8] => [1,2,4,6,8,3,5,7] => [1,2,6,3,4,8,7,5] => [8,7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,1,3,4,5,7] => [1,3,4,5,7,2,8,6] => [1,8,6,2,3,4,5,7] => [8,1,3,7,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,1,2,3,4,7] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,6,5,7] => [8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,1,2,3,4,6] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,1,2,4,6,7] => [1,2,4,6,7,3,5,8] => [1,2,6,3,4,7,5,8] => [8,7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,1,2,4,5,6] => [1,2,4,5,6,3,7,8] => [1,2,6,3,4,5,7,8] => [8,7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,7,1,3,4,8] => [1,3,4,8,2,6,7,5] => [1,6,7,8,5,2,3,4] => [8,3,2,1,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,7,1,2,4,8] => [1,2,4,8,3,6,7,5] => [1,2,6,7,8,5,3,4] => [8,7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,7,1,2,4,8] => [1,2,4,8,3,5,7,6] => [1,2,7,8,6,5,3,4] => [8,7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,8,1,3,5,7] => [1,3,5,7,2,6,8,4] => [1,5,2,3,6,8,4,7] => [8,4,7,6,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,8,1,4,5,6] => [1,4,5,6,2,7,8,3] => [1,8,3,5,2,4,6,7] => [8,1,6,4,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,8,1,2,5,6] => [1,2,5,6,3,4,8,7] => [1,2,5,3,6,4,8,7] => [8,7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,5,3,4,7,8] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,7,1,4,5,6] => [1,4,5,6,2,7,3,8] => [1,7,3,5,2,4,6,8] => [8,2,6,4,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,7,1,3,5,6] => [1,3,5,6,2,7,4,8] => [1,5,2,3,7,4,6,8] => [8,4,7,6,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,7,1,3,4,6] => [1,3,4,6,2,7,5,8] => [1,7,5,2,3,4,6,8] => [8,2,4,7,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,7,1,2,4,6] => [1,2,4,6,3,7,5,8] => [1,2,7,5,3,4,6,8] => [8,7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,7,1,2,3,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,4,1,3,5,6] => [1,3,5,6,2,4,7,8] => [1,5,2,3,6,4,7,8] => [8,4,7,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,5,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,5,3,4,7,8] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,6,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,6,1,5,7,8] => [1,5,7,8,2,6,3,4] => [1,5,2,6,7,3,8,4] => [8,4,7,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,6,1,4,7,8] => [1,4,7,8,2,6,3,5] => [1,6,7,3,8,5,2,4] => [8,3,2,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,7,1,5,6,8] => [1,5,6,8,2,7,3,4] => [1,5,2,7,3,6,8,4] => [8,4,7,2,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,1,4,6,8] => [1,4,6,8,2,7,3,5] => [1,7,3,6,8,5,2,4] => [8,2,6,3,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,7,1,2,4,8] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,5,1,3,6,8] => [1,3,6,8,2,5,4,7] => [1,6,5,2,3,8,7,4] => [8,3,4,7,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,6,1,3,5,8] => [1,3,5,8,2,6,4,7] => [1,5,2,3,6,8,7,4] => [8,4,7,6,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,8,1,4,6,7] => [1,4,6,7,2,8,3,5] => [1,8,5,2,4,7,3,6] => [8,1,4,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,8,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,5,2,3,7,4,8,6] => [8,4,7,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,1,3,4,7] => [1,3,4,7,2,8,5,6] => [1,7,5,2,3,4,8,6] => [8,2,4,7,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,8,1,3,5,6] => [1,3,5,6,2,8,4,7] => [1,5,2,3,8,7,4,6] => [8,4,7,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,8,1,2,5,6] => [1,2,5,6,3,8,4,7] => [1,2,5,3,8,7,4,6] => [8,7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,7,1,3,5,6] => [1,3,5,6,2,7,4,8] => [1,5,2,3,7,4,6,8] => [8,4,7,6,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,4,1,3,5,6] => [1,3,5,6,2,4,7,8] => [1,5,2,3,6,4,7,8] => [8,4,7,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,5,3,4,7,8] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,6,1,3,4,5] => [1,3,4,5,2,6,7,8] => [1,5,2,3,4,6,7,8] => [8,4,7,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,6,1,2,4,5] => [1,2,4,5,3,6,7,8] => [1,2,5,3,4,6,7,8] => [8,7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,6,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,4,8,1,2,5] => [1,2,5,3,4,8,6,7] => [1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,6,7,1,2,3] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,5,6,8] => [8,7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,5,7,1,3,4] => [1,3,4,2,5,7,6,8] => [1,4,2,3,5,7,6,8] => [8,5,7,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,4,6,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,5,8,1,4,7] => [1,4,7,2,5,8,3,6] => [1,4,2,5,7,3,8,6] => [8,5,7,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,5,8,1,2,7] => [1,2,7,3,5,8,4,6] => [1,2,5,7,4,3,8,6] => [8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,7,8,1,5,6] => [1,5,6,2,7,8,3,4] => [1,8,4,2,5,7,3,6] => [8,1,5,7,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,7,8,1,3,6] => [1,3,6,2,7,8,4,5] => [1,8,5,7,4,2,3,6] => [8,1,4,2,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,4,6,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,4,6,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,2,5,1,4,8] => [1,4,8,2,5,3,7,6] => [1,4,2,5,7,8,6,3] => [8,5,7,4,2,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,2,5,1,3,8] => [1,3,8,2,5,4,7,6] => [1,5,7,8,6,4,2,3] => [8,4,2,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,2,7,1,5,6] => [1,5,6,2,7,3,8,4] => [1,6,3,8,4,2,5,7] => [8,3,6,1,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,2,7,1,3,5] => [1,3,5,2,7,4,8,6] => [1,8,6,4,2,3,5,7] => [8,1,3,5,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,2,4,1,3,6] => [1,3,6,2,4,5,8,7] => [1,6,5,4,2,3,8,7] => [8,3,4,5,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,2,6,1,3,4] => [1,3,4,2,6,5,8,7] => [1,4,2,3,6,5,8,7] => [8,5,7,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,4,6,1,2,3] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,2,6,1,4,5] => [1,4,5,2,6,3,7,8] => [1,4,2,6,3,5,7,8] => [8,5,7,3,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,2,6,1,3,5] => [1,3,5,2,6,4,7,8] => [1,6,4,2,3,5,7,8] => [8,3,5,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,6,1,2,5] => [1,2,5,3,6,4,7,8] => [1,2,6,4,3,5,7,8] => [8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,2,5,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,7,1,6,8] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,2,7,1,5,8] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,8,1,6,7] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,3,8,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,2,6,1,4,7] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,2,7,1,4,6] => [1,4,6,2,7,3,5,8] => [1,4,2,6,3,7,5,8] => [8,5,7,3,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,3,7,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,2,6,1,3,5] => [1,3,5,2,6,4,7,8] => [1,6,4,2,3,5,7,8] => [8,3,5,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,3,6,1,2,5] => [1,2,5,3,6,4,7,8] => [1,2,6,4,3,5,7,8] => [8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,3,6,1,2,4] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,2,4,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,7,2,6,1,5] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,7,2,6,1,4] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,7,2,6,1,3] => [1,3,2,6,4,7,5,8] => [1,3,2,7,5,4,6,8] => [8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,7,2,5,1,4] => [1,4,2,5,3,7,6,8] => [1,5,3,2,4,7,6,8] => [8,4,6,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,2,5,1,3] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [8,6,7,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,3,5,1,2] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,7,2,4,1,3] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,7,3,4,1,2] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,6,2,5,1,4] => [1,4,2,5,3,6,7,8] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,6,2,5,1,3] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,6,3,5,1,2] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,8,2,7,1,5] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,2,6,1,4] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,8,2,5,1,3] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,7,6] => [8,6,7,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,2,6,1,4] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,7,2,6,1,3] => [1,3,2,6,4,7,5,8] => [1,3,2,7,5,4,6,8] => [8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,7,2,5,1,3] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [8,6,7,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,6,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,3,2,8,1,7] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,4,7,5,6] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,7,4,5,6] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,8,7,4,6] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,6,7,4,5] => [1,2,3,6,7,4,5,8] => [1,2,3,6,4,7,5,8] => [8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,7,6,3,8,5] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,5,6,3,4,7] => [1,2,5,6,3,4,7,8] => [1,2,5,3,6,4,7,8] => [8,7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,7,6,3,4,5] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,5,6,3,8,4] => [1,2,5,6,3,8,4,7] => [1,2,5,3,8,7,4,6] => [8,7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,2,6,4,8,5] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,6,7,4,5] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,2,3,8,5,7] => [1,4,2,3,8,5,7,6] => [1,4,3,2,7,8,6,5] => [8,5,6,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,2,3,7,5,6] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,2,3,4,5,6] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,2,3,8,4,7] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,2,6,3,8,5] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,2,7,3,4,6] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,2,6,3,8,4] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,2,8,7,3,6] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,2,6,7,8,3] => [1,4,2,6,7,8,3,5] => [1,8,5,7,3,2,4,6] => [8,1,4,2,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,6,2,4,5,7] => [1,8,2,4,5,7,3,6] => [1,4,5,8,6,7,3,2] => [8,5,4,1,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,6,2,7,4,5] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,2,3,6,7] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,8,2,3,5,6] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,5,2,3,4,6] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,2,7,3,6] => [1,4,5,2,7,3,6,8] => [1,4,2,7,6,3,5,8] => [8,5,7,2,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,5,6,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,7,2,3,6] => [1,4,5,7,2,3,6,8] => [1,7,6,3,5,2,4,8] => [8,2,3,6,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,5,6,2,3,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,5,6,2,8,3] => [1,4,5,6,2,8,3,7] => [1,8,7,3,5,2,4,6] => [8,1,2,6,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,5,8,7,2,6] => [1,4,5,8,2,6,3,7] => [1,6,8,7,3,5,2,4] => [8,3,1,2,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,8,6,7,2,5] => [1,4,8,2,5,3,6,7] => [1,4,2,5,8,7,6,3] => [8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,5,6,7,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,6,7,2,3] => [1,4,5,6,7,2,3,8] => [1,6,2,4,7,3,5,8] => [8,3,7,5,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,3,4,7,5,6] => [1,3,4,7,2,8,5,6] => [1,7,5,2,3,4,8,6] => [8,2,4,7,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,8,6,3,5,7] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,2,4,5,8,6] => [1,2,4,5,8,3,6,7] => [1,2,8,7,6,3,4,5] => [8,7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,2,6,4,5,7] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,2,3,4,8,5] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,2,3,7,4,6] => [1,2,3,7,4,6,5,8] => [1,2,3,6,7,5,4,8] => [8,7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,2,3,7,4,5] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,2,8,3,6,7] => [1,2,8,3,6,7,4,5] => [1,2,8,5,6,7,4,3] => [8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,2,6,3,8,5] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,2,6,3,4,5] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,2,6,3,8,4] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,2,8,7,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,2,6,7,3,4] => [1,2,6,7,3,4,5,8] => [1,2,7,5,3,6,4,8] => [8,7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,2,6,7,8,3] => [1,2,6,7,8,3,4,5] => [1,2,6,3,7,4,8,5] => [8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,6,2,8,5,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,2,4,8,5] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,2,7,4,6] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,2,3,8,6] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,6,2,3,5,7] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,6,2,3,8,5] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,5,2,3,4,6] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,2,3,4,5] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,5,2,3,8,4] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,5,2,8,3,7] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,2,7,3,6] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,5,2,7,3,4] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,8,7,2,5,6] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,7,6,2,8,5] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,6,2,4,7] => [1,5,6,2,4,7,3,8] => [1,5,4,2,7,3,6,8] => [8,4,5,7,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,2,4,5] => [1,7,2,4,5,3,6,8] => [1,4,5,7,6,3,2,8] => [8,5,4,2,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,7,6,2,3,5] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,5,6,8,2,7] => [1,5,6,8,2,7,3,4] => [1,5,2,7,3,6,8,4] => [8,4,7,2,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,8,6,7,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,6,7,2,4] => [1,5,6,7,2,4,3,8] => [1,5,2,7,3,6,4,8] => [8,4,7,2,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,6,7,2,3] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,5,6,7,8,2] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,1,6,7,4,5] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,1,3,8,5,7] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,1,3,4,8,6] => [1,3,4,8,2,7,5,6] => [1,8,6,7,5,2,3,4] => [8,1,3,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,1,6,3,8,5] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,1,6,3,8,4] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,1,8,7,3,6] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,1,6,7,3,5] => [1,6,7,2,8,3,5,4] => [1,8,4,2,6,3,7,5] => [8,1,5,7,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,1,6,7,3,4] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,1,6,7,8,3] => [1,6,7,8,2,5,3,4] => [1,6,5,2,7,3,8,4] => [8,3,4,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,1,2,7,8,5] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,1,2,4,8,6] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,1,2,4,8,5] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,1,2,7,4,5] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,1,2,7,8,4] => [1,2,7,8,3,5,4,6] => [1,2,8,6,5,3,7,4] => [8,7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,1,2,3,8,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,1,2,3,8,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,1,2,3,8,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,1,2,7,3,4] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,1,2,7,8,3] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => [1,7,4,5,6,3,2,8] => [8,2,5,4,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,1,6,2,8,5] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,1,6,2,4,5] => [1,6,2,4,5,3,8,7] => [1,4,5,6,3,2,8,7] => [8,5,4,3,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,1,6,2,3,5] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,1,6,2,3,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,1,6,2,8,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,1,6,8,2,7] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,1,8,7,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,6,7,2,5] => [1,6,7,2,5,3,4,8] => [1,5,7,4,2,6,3,8] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,1,6,7,2,4] => [1,6,7,2,4,3,5,8] => [1,7,5,4,2,6,3,8] => [8,2,4,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,6,7,2,3] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,1,6,7,8,2] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,5,1,7,4,6] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,6,1,7,4,5] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,5,1,7,8,4] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,6,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,5,2,3,7,4,8,6] => [8,4,7,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,8,1,3,5,6] => [1,3,5,6,2,7,4,8] => [1,5,2,3,7,4,6,8] => [8,4,7,6,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,6,1,3,8,5] => [1,3,8,2,7,4,6,5] => [1,8,5,7,6,4,2,3] => [8,1,4,2,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,5,1,3,4,7] => [1,3,4,7,2,8,5,6] => [1,7,5,2,3,4,8,6] => [8,2,4,7,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,5,1,3,4,6] => [1,3,4,6,2,7,8,5] => [1,8,5,2,3,4,6,7] => [8,1,4,7,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,6,1,3,4,5] => [1,3,4,5,2,7,8,6] => [1,5,2,3,4,8,6,7] => [8,4,7,6,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,5,1,3,8,4] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,5,1,7,3,6] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,6,1,7,3,5] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,5,1,7,3,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,5,1,2,4,7] => [1,2,4,7,3,6,5,8] => [1,2,6,7,5,3,4,8] => [8,7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,1,2,4,6] => [1,2,4,6,3,8,5,7] => [1,2,8,7,5,3,4,6] => [8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,5,1,2,8,4] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,5,1,2,8,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,5,1,8,2,7] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,6,1,7,2,5] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,5,1,7,2,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,5,1,7,8,2] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,6,1,5,7] => [1,5,7,2,3,4,8,6] => [1,8,6,4,2,5,3,7] => [8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,7,6,1,8,5] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,5,7,1,4,6] => [1,4,6,2,3,8,5,7] => [1,4,2,8,7,5,3,6] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,7,5,6,1,8,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,5,6,1,3,7] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,5,7,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,5,6,1,3,4] => [1,3,4,2,8,5,6,7] => [1,4,2,3,8,7,6,5] => [8,5,7,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,5,6,1,8,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,5,7,1,2,6] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,7,6,1,2,5] => [1,2,5,3,4,7,6,8] => [1,2,5,4,3,7,6,8] => [8,7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,5,6,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,5,6,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,8,7,1,6] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,6,7,1,5] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,5,6,7,1,4] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,5,6,7,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[8,1,2,3,4,5,6,9,7] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,8,7] => [9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7,9] => [1,2,3,4,5,8,7,6,9] => [9,8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[7,1,2,3,4,5,8,9,6] => [1,2,3,4,5,8,9,6,7] => [1,2,3,4,5,8,6,9,7] => [9,8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,1,2,3,9,4,5,6,7] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,8,7,6,5,4] => [9,8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7,9] => [1,8,7,6,5,4,3,2,9] => [9,2,3,4,5,6,7,8,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,1,8,5,6,7,2,3,4] => [1,8,2,3,4,5,6,7,9] => [1,8,7,6,5,4,3,2,9] => [9,2,3,4,5,6,7,8,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,9,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2,9] => [1,8,2,3,4,5,6,7,9] => [9,2,8,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[2,3,4,5,6,7,9,1,8] => [1,8,2,3,4,5,6,7,9] => [1,8,7,6,5,4,3,2,9] => [9,2,3,4,5,6,7,8,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[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] => [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]
[3,5,2,6,4,1,8,7] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,2,3,8,6,1] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,2,3,8,1,6] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,2,1,3,8,7] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,1,3,2,8,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,3,2,8,6,1] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,3,8,2,1,5] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,1,3,8,2,6] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,7,4,8,6,3] => [1,5,7,2,3,4,8,6] => [1,8,6,4,2,5,3,7] => [8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,7,4,8,6,2] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,1,3,8,6,2] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,3,1,8,6,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,3,8,1,5,2] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,3,8,5,1,2] => [1,2,3,8,4,6,7,5] => [1,2,3,6,7,8,5,4] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,3,8,5,2,1] => [1,2,3,8,4,6,7,5] => [1,2,3,6,7,8,5,4] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,3,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,1,3,4,2] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,1,8,3,5,2] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,8,4,5,2] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,7,8,4,5,3] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,7,8,4,3,5] => [1,6,7,8,2,3,5,4] => [1,7,5,2,6,3,8,4] => [8,2,4,7,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,8,4,2,5] => [1,7,8,2,5,3,6,4] => [1,5,8,4,2,7,6,3] => [8,4,1,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,1,8,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,1,3,2,4] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,2,1,8,3,6] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,2,8,1,3,5] => [1,3,5,2,8,4,6,7] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,2,8,3,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,2,8,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,7,8,4,5,1] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,1,7,8,5,6] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,7,8,6,5] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,7,8,5,1,4] => [1,4,2,7,8,3,6,5] => [1,7,6,3,2,4,8,5] => [8,2,3,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,7,8,5,4,1] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,2,8,5,3,1] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,2,8,5,1,3] => [1,3,2,8,4,6,7,5] => [1,3,2,6,7,8,5,4] => [8,6,7,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,2,8,1,5,3] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,2,1,8,6,3] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,1,2,8,6,3] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,7,2,8,6,4] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,7,3,8,6,4] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,7,8,3,5,4] => [1,6,7,8,2,3,5,4] => [1,7,5,2,6,3,8,4] => [8,2,4,7,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,8,2,5,4] => [1,7,8,2,5,3,6,4] => [1,5,8,4,2,7,6,3] => [8,4,1,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,1,8,2,5,3] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,1,2,4,3] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,2,1,4,3] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,2,4,3,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,1,4,2,3] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,1,8,5,2,3] => [1,8,2,3,4,6,7,5] => [1,6,7,8,5,4,3,2] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,8,5,2,4] => [1,7,8,2,4,3,6,5] => [1,8,5,4,2,7,6,3] => [8,1,4,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,7,8,5,3,4] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,8,5,4,2] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,1,8,5,3,2] => [1,8,2,3,4,6,7,5] => [1,6,7,8,5,4,3,2] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,1,4,3,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,8,4,1,3,2] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,3,2,1,8,7,10,9] => [1,8,2,3,4,5,6,7,10,9] => [1,8,7,6,5,4,3,2,10,9] => [10,3,4,5,6,7,8,9,1,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[5,6,7,8,4,3,2,1,10,9] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,4,2,1,8,9,10,7,6,5] => [1,8,9,10,2,3,4,5,6,7] => [1,8,5,2,9,6,3,10,7,4] => [10,3,6,9,2,5,8,1,4,7] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,7,8,9,10,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,5,8,7,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,4,5,8,1,2] => [1,2,3,6,7,4,5,8] => [1,2,3,6,4,7,5,8] => [8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,4,5,1,8,3] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,4,5,2,3,8] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,7,6,2,3,8] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,4,7,6,8,1,2] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,7,8,6,1,2] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,8,7,6,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,4,5,7,1,2] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,8,6,7,1,2] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,6,8,7,1,2] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,6,1,8,7,4] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,8,6,1,7,3] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,4,5,1,7,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,4,5,1,6,3] => [1,6,2,4,5,3,7,8] => [1,4,5,6,3,2,7,8] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,4,5,2,3,6] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,4,5,2,3,7] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,8,6,5,7] => [1,3,2,8,4,5,7,6] => [1,3,2,7,8,6,5,4] => [8,6,7,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,8,2,6,4,7] => [1,3,8,2,6,4,7,5] => [1,7,8,5,6,4,2,3] => [8,2,1,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,3,2,5,4,6] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,3,1,5,7,4] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,8,1,6,7,4] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,2,1,7,5,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,1,6,5,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,8,7,1,6,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,7,2,6,4,8] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,3,2,5,4,8] => [1,6,7,2,5,3,4,8] => [1,5,7,4,2,6,3,8] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,2,1,8,5,4] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,2,1,4,3] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,7,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,8,7,2,3,6] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,1,7,2,3,5] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,1,2,6,4,5] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,8,2,7,4,6] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,8,7,5,6] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,8,5,7,6] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,8,3,4,7,6] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,1,3,4,7,5] => [1,3,4,7,2,8,5,6] => [1,7,5,2,3,4,8,6] => [8,2,4,7,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,3,4,6,5] => [1,3,4,6,2,5,7,8] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,6,5,8,7] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,6,2,4,8,7] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,5,2,4,8,7] => [1,5,2,4,8,3,6,7] => [1,4,8,7,6,3,2,5] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,5,2,8,4,6] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,1,2,3,8,7] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,5,3,4,8,7] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,5,2,4,8,7] => [1,5,2,4,8,3,6,7] => [1,4,8,7,6,3,2,5] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,1,2,3,8,7] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,1,2,8,3,6] => [1,2,8,3,6,4,7,5] => [1,2,7,8,5,6,4,3] => [8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,5,2,8,4,6] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,5,3,8,4,6] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,3,7,4,6] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,5,2,7,4,6] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,1,2,7,3,6] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,1,6,2,3,5] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,7,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,1,7,2,3,5] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,6,7,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,6,8,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,6,8,2,4,5] => [1,6,8,2,4,5,3,7] => [1,6,5,4,2,8,7,3] => [8,3,4,5,7,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,1,8,2,3,5] => [1,8,2,3,5,4,7,6] => [1,5,7,8,6,4,3,2] => [8,4,2,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,8,1,2,3,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,1,2,8,3,6] => [1,2,8,3,6,4,7,5] => [1,2,7,8,5,6,4,3] => [8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,1,8,2,3,5] => [1,8,2,3,5,4,7,6] => [1,5,7,8,6,4,3,2] => [8,4,2,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,8,2,4,5] => [1,6,8,2,4,5,3,7] => [1,6,5,4,2,8,7,3] => [8,3,4,5,7,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,7,8,5,6] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,8,7,5,6] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,8,7,5,6] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,8,7,2,4,5] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,8,6,2,4,5] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,6,2,3,5] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,1,6,2,3,5] => [1,6,2,3,5,4,8,7] => [1,5,6,4,3,2,8,7] => [8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,1,2,7,3,6] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,8,7,3,4,5] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,8,7,2,4,5] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,7,1,2,3,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,6,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,6,1,2,3,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,6,1,2,3,4] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,8,1,6,2,3,5] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,8,6,2,4,5] => [1,8,2,4,5,3,7,6] => [1,4,5,7,8,6,3,2] => [8,5,4,2,1,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,6,3,4,5] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,6,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,7,6,2,4,5] => [1,7,2,4,5,3,8,6] => [1,4,5,8,6,3,2,7] => [8,5,4,1,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,1,6,2,3,5] => [1,6,2,3,5,4,8,7] => [1,5,6,4,3,2,8,7] => [8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,5,1,2,3,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,3,8,5,1,2] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,7,6,1,3,8] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,7,6,1,8,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,7,6,8,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,7,8,6,1,2] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,3,5,7,1,2] => [1,2,3,5,7,4,8,6] => [1,2,3,8,6,4,5,7] => [8,7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,8,6,7,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,6,8,7,1,2] => [1,2,3,6,8,4,5,7] => [1,2,3,6,4,8,7,5] => [8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,6,7,1,8,3] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,6,7,1,3,8] => [1,3,8,2,6,7,4,5] => [1,8,5,6,7,4,2,3] => [8,1,4,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,6,1,7,4,8] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,6,1,8,7,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,6,8,1,7,3] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,8,6,1,7,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,2,5,1,6,3] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,2,5,1,3,6] => [1,3,6,2,5,4,7,8] => [1,5,6,4,2,3,7,8] => [8,4,3,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,8,6,1,3,7] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,6,1,8,4,7] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,6,8,5,7] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,8,6,5,7] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,8,1,6,4,7] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,2,1,5,4,7] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,1,5,4,6] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,2,1,5,7,4] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,8,1,6,7,4] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,1,8,6,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,1,6,8,4] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,1,6,4,8] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,2,1,5,4,8] => [1,5,2,3,7,4,8,6] => [1,8,6,4,3,2,5,7] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,2,1,8,5,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,2,1,8,4,5] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,2,1,4,5,8] => [1,4,5,8,2,3,7,6] => [1,7,8,6,3,5,2,4] => [8,2,1,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,1,4,8,6] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,8,7,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,2,6,1,3,5] => [1,3,5,2,6,4,7,8] => [1,6,4,2,3,5,7,8] => [8,3,5,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,1,6,4,5] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,2,1,7,4,5] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,8,7,5,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,7,5,6,8] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,1,4,6,5] => [1,4,6,2,3,5,7,8] => [1,4,2,6,5,3,7,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,1,5,8,6,7] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,1,2,4,3] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,4,6,2,5,3] => [1,4,6,2,5,3,7,8] => [1,4,2,5,6,3,7,8] => [8,5,7,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,4,7,2,5,3] => [1,6,8,2,5,3,4,7] => [1,5,8,7,4,2,6,3] => [8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,3,2,7,5,4] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,3,2,7,5,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,3,2,6,5,4] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,1,2,6,5,4] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,4,6,5,1,2] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,3,1,6,5,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,3,6,5,4] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,2,3,6,5,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,2,3,7,5,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,2,3,7,5,4] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,8,3,7,6,4] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,8,3,7,6,4] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,8,3,7,6,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,1,3,7,5,4] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,3,1,7,5,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,4,7,5,1,2] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,4,7,5,1,2] => [1,2,3,6,8,4,7,5] => [1,2,3,6,4,7,8,5] => [8,7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,4,7,1,5,3] => [1,5,2,6,8,3,4,7] => [1,8,7,4,6,3,2,5] => [8,1,2,5,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,3,1,7,5,4] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,8,3,7,6,4] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,3,8,7,6,5] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,8,1,7,6,4] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,8,7,1,6,3] => [1,6,2,5,3,4,8,7] => [1,6,4,5,3,2,8,7] => [8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,4,8,7,6,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,8,7,6,1,2] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,8,7,1,6,3] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,8,1,7,6,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,8,7,6,5] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,8,7,6,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,3,8,7,6,5] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,8,7,6,5] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,8,7,6,5] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,1,2,7,5,4] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,8,2,7,6,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,8,2,7,6,4] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,8,2,7,6,4] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,8,7,2,6,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,7,3,4,1,2] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,8,7,2,6,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,8,7,2,6,3] => [1,4,5,8,2,6,3,7] => [1,6,8,7,3,5,2,4] => [8,3,1,2,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,8,2,7,6,4] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,1,2,7,5,4] => [1,2,7,3,6,8,4,5] => [1,2,7,4,3,8,5,6] => [8,7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,2,1,7,5,4] => [1,7,2,3,6,8,4,5] => [1,7,4,3,2,8,5,6] => [8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,2,7,1,5,3] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,8,7,6,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,8,7,1,6,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,8,1,7,6,4] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,8,7,6,5] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,4,8,7,6,5] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,8,7,6,1,2] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,8,7,6,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,8,1,7,6,4] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,2,5,4,8,7] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,7,6] => [8,6,7,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,2,5,4,8,6] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,7,6] => [8,6,7,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,2,5,4,7,6] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [8,6,7,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,2,5,3,7,6] => [1,4,2,5,3,7,6,8] => [1,5,3,2,4,7,6,8] => [8,4,6,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,2,6,3,8,7] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,5,4,8,7] => [1,6,2,3,5,4,8,7] => [1,5,6,4,3,2,8,7] => [8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,2,5,4,8,7] => [1,6,2,5,3,4,8,7] => [1,6,4,5,3,2,8,7] => [8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,1,4,3,8,7] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,1,4,3,7,6] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,1,4,3,7,5] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,1,4,3,8,5] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,2,5,3,8,6] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,3,5,4,8,6] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,3,5,4,7,6] => [1,8,2,3,5,4,7,6] => [1,5,7,8,6,4,3,2] => [8,4,2,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,2,5,3,7,6] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,1,4,3,7,6] => [1,4,2,5,3,7,6,8] => [1,5,3,2,4,7,6,8] => [8,4,6,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,1,4,3,7,5] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,3,8,2,6,5] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,3,7,2,6,5] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,3,7,2,6,4] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,3,8,2,6,4] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,1,5,3,7,4] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,6,4,7,5] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,3,6,4,8,5] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,2,6,3,8,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,2,6,3,8,4] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,1,5,3,8,4] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,1,5,3,8,4] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,1,5,3,7,4] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,2,6,3,7,4] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,2,7,3,8,4] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,2,6,3,7,5] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,2,6,4,7,5] => [1,3,2,6,4,7,5,8] => [1,3,2,7,5,4,6,8] => [8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,2,7,4,8,5] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,2,7,4,8,6] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,7,5,8,6] => [1,3,2,7,4,5,8,6] => [1,3,2,8,6,5,4,7] => [8,6,7,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,8,5,7,6] => [1,4,2,3,8,5,7,6] => [1,4,3,2,7,8,6,5] => [8,5,6,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,8,5,7,6] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,8,5,7,6] => [1,3,2,8,4,5,7,6] => [1,3,2,7,8,6,5,4] => [8,6,7,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,3,2,6,5] => [1,3,2,6,4,7,5,8] => [1,3,2,7,5,4,6,8] => [8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,1,4,2,6,5] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,1,4,2,6,5] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,2,8,3,7,5] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,2,8,3,7,6] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,2,8,3,7,6] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,3,8,4,7,6] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,2,8,4,7,5] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,8,3,7,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,8,3,7,4] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,2,8,3,7,4] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,1,5,2,6,4] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,1,5,2,6,4] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,3,8,1,5,4] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,3,7,1,5,4] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,2,6,1,5,4] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,4,7,2,6,5] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,4,8,3,6,5] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,4,8,2,6,5] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,3,8,2,6,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,3,8,2,6,4] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,2,6,1,5,4] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,3,7,1,5,4] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,3,8,1,5,4] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,2,4,1,6] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,2,4,6,1] => [1,2,4,6,3,8,5,7] => [1,2,8,7,5,3,4,6] => [8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,6,3,8,1,7] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,1,6,8,3,7] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,8,1,3,4,7] => [1,3,4,7,2,8,5,6] => [1,7,5,2,3,4,8,6] => [8,2,4,7,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,1,4,8,2,7] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,6,3,8,2,7] => [1,5,6,2,7,3,8,4] => [1,6,3,8,4,2,5,7] => [8,3,6,1,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,6,3,8,2,7] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,3,2,8,1,7] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,3,8,2,1,6] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,3,8,2,6,1] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,8,3,2,5,1] => [1,2,5,3,4,8,6,7] => [1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,8,3,2,1,5] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,1,8,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,7,8,3,6,2] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,8,3,6,2] => [1,5,8,2,3,6,4,7] => [1,6,8,7,4,2,5,3] => [8,3,1,2,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,3,8,1,5,2] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,8,3,1,5,2] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,8,3,5,2,1] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,3,8,4,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,3,1,8,4,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,7,3,8,4,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,7,3,8,4,2] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,1,8,3,5,2] => [1,8,2,3,5,4,7,6] => [1,5,7,8,6,4,3,2] => [8,4,2,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,1,4,5,2] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,4,5,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,4,1,3,5] => [1,3,5,2,8,4,6,7] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,7,3,2,8,4] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,7,3,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,3,2,1,8,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,3,2,8,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,7,3,8,4,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,7,3,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,1,7,3,8,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,4,2,8,3,5] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,1,8,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,1,8,2,4,6] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,5,1,8,3,6] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,2,1,8,3,5] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,2,8,3,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,2,8,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,2,8,4,5,1] => [1,2,8,3,6,7,4,5] => [1,2,8,5,6,7,4,3] => [8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,2,1,8,4,5] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,2,1,4,6] => [1,4,6,2,3,8,5,7] => [1,4,2,8,7,5,3,6] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,1,4,6,2,5] => [1,4,6,2,5,3,7,8] => [1,4,2,5,6,3,7,8] => [8,5,7,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,2,6,1,4] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,8,5,2,1,4] => [1,4,2,3,6,7,8,5] => [1,4,3,2,8,5,6,7] => [8,5,6,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,8,5,2,4,1] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,5,6,7] => [8,7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,8,2,5,3,1] => [1,2,5,3,4,7,8,6] => [1,2,5,4,3,8,6,7] => [8,7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,7,8,2,6,3] => [1,5,7,8,2,6,3,4] => [1,5,2,6,7,3,8,4] => [8,4,7,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,8,1,6,2,4] => [1,6,2,4,3,7,8,5] => [1,4,8,5,3,2,6,7] => [8,5,1,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,5,1,3,4] => [1,3,4,2,8,5,6,7] => [1,4,2,3,8,7,6,5] => [8,5,7,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,7,8,2,5,3] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,1,7,8,4,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,7,1,8,4,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,7,8,4,3,1] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,2,8,4,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,2,1,8,4,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,7,2,8,4,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,7,2,8,4,3] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,5,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,8,1,5,3,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,7,8,4,3,2] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,7,8,4,3,2] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,1,8,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,3,4,2,5,7] => [1,3,4,2,5,7,6,8] => [1,4,2,3,5,7,6,8] => [8,5,7,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,5,1,6,4,7] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,7,4,1,8,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,2,4,6,1] => [1,2,4,6,3,8,5,7] => [1,2,8,7,5,3,4,6] => [8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,5,8,3,6,1] => [1,2,4,5,8,3,6,7] => [1,2,8,7,6,3,4,5] => [8,7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,3,7,1,8,6] => [1,8,2,4,5,3,7,6] => [1,4,5,7,8,6,3,2] => [8,5,4,2,1,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,5,6,3,1,7] => [1,7,2,4,5,6,3,8] => [1,4,5,6,7,3,2,8] => [8,5,4,3,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,5,6,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,4,5,6,3,7] => [1,2,4,5,6,3,7,8] => [1,2,6,3,4,5,7,8] => [8,7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,1,3,6,4,7] => [1,3,6,2,5,4,7,8] => [1,5,6,4,2,3,7,8] => [8,4,3,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,1,4,3,7] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,6,4,1,2,7] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,6,3,2,7] => [1,4,5,6,2,7,3,8] => [1,7,3,5,2,4,6,8] => [8,2,6,4,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,7,2,1,8,6] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,8,3,2,6,1] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,7,2,8,5,1] => [1,2,8,3,6,7,4,5] => [1,2,8,5,6,7,4,3] => [8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,3,7,2,8,6] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,7,1,2,8,6] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,4,1,6,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,8,3,6,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,7,8,1,5,2] => [1,5,2,3,6,7,8,4] => [1,8,4,3,2,5,6,7] => [8,1,5,6,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,7,8,3,5,2] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,7,8,4,1,2] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,6,7,8,4,2] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,1,4,8,3,5] => [1,4,8,2,6,7,3,5] => [1,4,2,8,5,6,7,3] => [8,5,7,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,7,8,1,2,5] => [1,2,5,3,6,7,8,4] => [1,2,8,4,3,5,6,7] => [8,7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,6,7,8,2,4] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,7,8,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,7,8,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,1,3,8,4,6] => [1,3,8,2,7,4,6,5] => [1,8,5,7,6,4,2,3] => [8,1,4,2,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,7,8,2,4,6] => [1,7,8,2,4,6,3,5] => [1,6,8,5,4,2,7,3] => [8,3,1,4,5,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,7,8,1,3,6] => [1,3,6,2,7,8,4,5] => [1,8,5,7,4,2,3,6] => [8,1,4,2,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,7,8,3,1,5] => [1,5,2,6,7,8,3,4] => [1,7,3,2,5,8,4,6] => [8,2,6,7,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,7,8,3,5,1] => [1,2,6,7,8,3,5,4] => [1,2,6,3,8,4,7,5] => [8,7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,7,4,8,5,1] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,7,4,8,1,5] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,4,7,8,5] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,1,3,5,8,6] => [1,3,5,8,2,4,7,6] => [1,5,2,3,7,8,6,4] => [8,4,7,6,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,2,1,3,6,5] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,4,2,1,6,5] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,7,1,8,5,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,7,1,8,5,4] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,8,5,2,3,1] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,8,6,2,3] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,6,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,2,1,6,3,4] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,1,3,8,5,4] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,7,8,2,5,4] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,7,8,5,2,3] => [1,7,8,2,3,4,6,5] => [1,7,6,4,2,8,5,3] => [8,2,3,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,6,7,8,4,3] => [1,2,6,7,8,3,4,5] => [1,2,6,3,7,4,8,5] => [8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,7,8,4,1,3] => [1,3,2,6,7,8,4,5] => [1,3,2,8,5,7,4,6] => [8,6,7,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,7,8,4,3,1] => [1,2,6,7,8,3,4,5] => [1,2,6,3,7,4,8,5] => [8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,7,8,4,1,3] => [1,3,2,5,6,7,8,4] => [1,3,2,8,4,5,6,7] => [8,6,7,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,6,7,8,4,3] => [1,5,2,6,7,8,3,4] => [1,7,3,2,5,8,4,6] => [8,2,6,7,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,7,8,5,2,3] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,1,3,8,5,4] => [1,3,8,2,6,7,4,5] => [1,8,5,6,7,4,2,3] => [8,1,4,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,1,5,4,3] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,8,5,1,4,2] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,8,5,3,1,2] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,3,7,6,1,8] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,7,2,5,1,8] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,6,5,1,2,7] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,7,4,5,1,8] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,6,5,3,1,8] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,2,4,3,1,8] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,4,8,3,6,2] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,4,1,3,2,6] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,4,2,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,2,4,1,3,7] => [1,3,7,2,4,5,8,6] => [1,8,6,5,4,2,3,7] => [8,1,3,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,6,5,1,3,7] => [1,3,7,2,6,4,8,5] => [1,8,5,6,4,2,3,7] => [8,1,4,3,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,6,5,8,7,3] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,4,8,7,3] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,4,2,8,7,3] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,4,7,6,2,3] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,7,4,5,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,7,4,5,2,3] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,8,4,2,5,3] => [1,6,8,2,5,3,4,7] => [1,5,8,7,4,2,6,3] => [8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,7,8,5,6,3] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,8,5,6,4] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,7,1,5,4,6] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,7,1,5,3,6] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,2,1,4,3,6] => [1,4,2,3,6,5,8,7] => [1,4,3,2,6,5,8,7] => [8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,1,2,4,3,5] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,1,4,2,3,5] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,4,3,2,5] => [1,4,2,5,3,6,7,8] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,8,4,3,5,2] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,8,3,4,5,2] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,1,3,4,2,5] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,1,3,2,4,5] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [8,6,7,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,8,1,3,5,6] => [1,3,5,6,2,8,4,7] => [1,5,2,3,8,7,4,6] => [8,4,7,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,8,3,1,5,7] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,3,2,1,4,7] => [1,4,7,2,3,5,8,6] => [1,4,2,8,6,5,3,7] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,3,1,2,4,6] => [1,2,4,6,3,5,8,7] => [1,2,6,5,3,4,8,7] => [8,7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,3,8,4,6,2] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,7,1,5,2,6] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,8,2,1,5,7] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,3,8,1,6,7] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,4,8,1,6,7] => [1,6,7,2,5,3,4,8] => [1,5,7,4,2,6,3,8] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,3,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,1,2,8,7,5] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,1,8,2,6,5] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,1,7,6,2,5] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,3,7,6,2,4] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,3,8,2,6,4] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,3,2,8,7,4] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,2,3,8,7,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,3,8,7,5] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,8,4,6,5] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,2,8,3,6,4] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,8,2,3,5,4] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,3,2,5,4] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,7,3,5,2,4] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,7,3,5,4,2] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,8,6,5,3,4,2] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,5,3,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,5,2,3,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,2,5,3,4] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,2,7,6,3,4] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,1,7,6,3,5] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,1,7,6,4,5] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,8,7,6,5,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,2,7,6,4,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,7,2,5,4,3] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,5,2,4,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,6,5,4,2,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,6,5,8,7,4] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,2,4,8,7,5] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,2,4,8,7,6] => [1,5,2,4,8,3,6,7] => [1,4,8,7,6,3,2,5] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,2,3,8,7,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,2,3,8,7,5] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,3,4,8,7,2] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,2,4,8,7,3] => [1,5,2,4,8,3,6,7] => [1,4,8,7,6,3,2,5] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,2,3,8,7,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,3,8,7,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,2,3,8,7,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,2,7,3,6,8] => [1,2,7,3,6,8,4,5] => [1,2,7,4,3,8,5,6] => [8,7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,7,2,3,5,8] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,8,2,3,5,7] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,2,8,3,6,5] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,2,8,3,6,4] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,2,8,4,6,3] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,3,8,4,6,2] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,3,7,4,6,2] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,2,7,4,6,3] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,2,7,3,6,4] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,7,3,6,5] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,7,2,3,5,6] => [1,7,2,3,5,6,4,8] => [1,5,6,7,4,3,2,8] => [8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,6,2,3,5,8] => [1,6,2,3,5,8,4,7] => [1,5,8,7,4,3,2,6] => [8,4,1,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,7,2,3,5,4] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,7,3,4,5,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,8,3,4,5,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,8,2,4,5,3] => [1,6,8,2,4,5,3,7] => [1,6,5,4,2,8,7,3] => [8,3,4,5,7,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,2,3,5,4] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,2,8,3,6,5] => [1,2,8,3,6,4,7,5] => [1,2,7,8,5,6,4,3] => [8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,7,8,5,6,4] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,8,7,5,6,2] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,8,7,5,6,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,8,7,5,6,4] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,7,4,6,5] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,6,2,4,5,8] => [1,7,2,4,5,8,3,6] => [1,4,5,7,3,2,8,6] => [8,5,4,2,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,6,2,3,5,8] => [1,6,2,3,5,8,4,7] => [1,5,8,7,4,3,2,6] => [8,4,1,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,6,2,3,5,7] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,7,2,3,5,6] => [1,7,2,3,5,6,4,8] => [1,5,6,7,4,3,2,8] => [8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,2,7,3,6,5] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,2,7,3,6,4] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,2,7,4,6,3] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,7,3,4,5,2] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,7,2,4,5,3] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,2,3,5,4] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,1,2,3,4,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,1,2,3,4,6] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,1,2,3,4,7] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,6,5,7] => [8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,1,2,3,4,8] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,8,6,5] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,2,3,5,4] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,2,4,5,3] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,8,6,3,4,5,2] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,6,3,4,5,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,6,2,4,5,3] => [1,7,2,4,5,3,6,8] => [1,4,5,7,6,3,2,8] => [8,5,4,2,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,2,3,5,4] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,6,4,8,7] => [1,6,2,5,3,4,8,7] => [1,6,4,5,3,2,8,7] => [8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,3,7,1,8,6] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,3,6,1,8,7] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,4,6,2,8,7] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,2,7,5,8,1] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,2,7,1,8,5] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,7,2,8,5] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,1,7,2,8,6] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,4,7,3,8,6] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,4,7,6,8,2] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,3,7,6,8,2] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,1,7,6,8,2] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,5,7,1,8,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,4,7,2,8,1] => [1,2,8,3,6,4,7,5] => [1,2,7,8,5,6,4,3] => [8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,7,4,8,2] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,4,7,5,8,2] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,4,7,5,8,3] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,4,7,2,8,5] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,3,7,2,8,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,3,7,2,8,4] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,7,2,8,4] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,2,7,1,8,4] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,2,7,4,8,1] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,3,7,4,8,1] => [1,2,6,3,7,4,8,5] => [1,2,6,4,3,8,5,7] => [8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,1,7,3,8,4] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,1,7,3,8,6] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,1,7,3,8,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,4,7,5,8,1] => [1,2,6,3,4,7,5,8] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,4,7,1,8,5] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,1,7,4,8,5] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,7,5,8,6] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,7,6,8,4] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,5,7,1,8,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,5,7,3,8,1] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,5,7,1,8,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,1,7,6,8,3] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,2,7,6,8,3] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,2,7,6,8,4] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,3,7,6,8,4] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,7,4,8,3] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,1,7,4,8,3] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,4,7,1,8,3] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,4,7,3,8,1] => [1,2,6,3,8,4,7,5] => [1,2,6,4,3,7,8,5] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,2,7,1,8,3] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,4,7,2,8,3] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,5,7,2,8,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,5,7,2,8,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,5,7,3,8,4] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,5,7,4,8,2] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,5,7,3,8,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,1,7,3,8,2] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,3,7,1,8,2] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,2,1,6,4,7] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,5,2,4,1,7] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,2,4,1,8,6] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,5,2,4,6,1] => [1,2,4,6,3,7,5,8] => [1,2,7,5,3,4,6,8] => [8,7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,5,7,3,6,1] => [1,2,4,5,7,3,6,8] => [1,2,7,6,3,4,5,8] => [8,7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,7,3,1,8,6] => [1,8,2,4,5,7,3,6] => [1,4,5,8,6,7,3,2] => [8,5,4,1,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,4,6,1,3,7] => [1,3,7,2,5,4,6,8] => [1,5,7,6,4,2,3,8] => [8,4,2,3,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,4,5,3,2,7] => [1,4,5,2,7,3,6,8] => [1,4,2,7,6,3,5,8] => [8,5,7,2,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,3,2,1,8,6] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,3,2,6,1] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,7,3,2,8,5] => [1,4,6,7,2,8,3,5] => [1,8,5,2,4,7,3,6] => [8,1,4,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,3,1,8,2,6] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,5,3,2,8,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,1,4,2,8,6] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,2,1,3,8,6] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,2,1,6,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,5,1,4,6,2] => [1,4,6,2,3,7,5,8] => [1,4,2,7,5,3,6,8] => [8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,8,7,1,5,2] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,8,6,3,5,2] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,6,3,5,2,1] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,8,7,4,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,8,6,7,4,2] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,1,8,7,5,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,1,4,7,5,3] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,5,6,8,2,4] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,5,7,2,4,1] => [1,2,4,3,6,8,5,7] => [1,2,4,3,8,7,5,6] => [8,7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,7,6,8,1,4] => [1,4,2,3,5,7,6,8] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,5,7,8,3,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,6,8,3,1,5] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,8,7,3,5,1] => [1,2,6,8,3,5,4,7] => [1,2,6,5,3,8,7,4] => [8,7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,4,6,7,5,1] => [1,2,4,6,7,3,8,5] => [1,2,6,3,4,8,5,7] => [8,7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,6,4,8,1,5] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,1,4,7,8,5] => [1,4,7,8,2,6,3,5] => [1,6,7,3,8,5,2,4] => [8,3,2,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,2,1,8,4,6] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,2,1,5,8,6] => [1,5,8,2,3,4,7,6] => [1,7,8,6,4,2,5,3] => [8,2,1,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,3,4,2,5] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,2,1,6,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,7,2,1,5,4] => [1,5,2,3,6,7,4,8] => [1,7,4,3,2,5,6,8] => [8,2,5,6,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,6,2,1,5,4] => [1,5,2,3,7,8,4,6] => [1,7,4,3,2,5,8,6] => [8,2,5,6,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,5,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,8,1,6,5,3] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,2,1,7,5,3] => [1,7,2,3,4,6,8,5] => [1,6,8,5,4,3,2,7] => [8,3,1,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,7,2,6,3] => [1,5,7,2,6,3,4,8] => [1,7,4,2,5,6,3,8] => [8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,1,6,2,4] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,2,1,3,6,4] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,7,1,3,5,4] => [1,3,5,2,6,7,4,8] => [1,7,4,2,3,5,6,8] => [8,2,5,7,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,8,7,2,5,3] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,5,7,4,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,5,6,4,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,8,5,4,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,8,2,6,5,3] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,1,6,5,2,4] => [1,6,2,4,3,7,8,5] => [1,4,8,5,3,2,6,7] => [8,5,1,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,5,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,6,5,1,3,2] => [1,3,2,4,7,5,6,8] => [1,3,2,4,7,6,5,8] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,7,5,4,3,2] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,5,1,2,8,7] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,2,1,4,6] => [1,4,6,2,3,7,5,8] => [1,4,2,7,5,3,6,8] => [8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,4,5,7,3,2] => [1,4,5,7,2,3,6,8] => [1,7,6,3,5,2,4,8] => [8,2,3,6,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,4,5,1,3,6] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,4,5,1,8,7] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,4,5,3,8,7] => [1,4,5,2,6,3,8,7] => [1,4,2,6,3,5,8,7] => [8,5,7,3,6,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,2,1,4,8,7] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,6,1,2,8,7] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,4,5,2,8,7] => [1,4,5,2,8,3,6,7] => [1,4,2,8,7,6,3,5] => [8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,4,5,2,8,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,4,2,6,3,1] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,4,5,1,2,6] => [1,2,6,3,7,8,4,5] => [1,2,8,5,7,4,3,6] => [8,7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,5,3,4,6] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,8,5,7,3,4] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,4,5,8,3,2] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,4,5,8,2,1] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,1,6,3,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,4,7,6,2,3] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,4,7,6,1,3] => [1,3,2,5,8,4,7,6] => [1,3,2,7,8,6,4,5] => [8,6,7,2,1,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,3,5,6,7,1] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,5,6,7,2] => [1,8,2,3,5,6,7,4] => [1,5,6,7,8,4,3,2] => [8,4,3,2,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,4,3,6,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,8,4,1,7,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,8,4,6,7,3] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,8,2,1,7,5] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,4,2,6,1,5] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,5,6,7,4] => [1,8,2,5,6,7,3,4] => [1,8,4,5,6,7,3,2] => [8,1,5,4,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,1,5,6,7,4] => [1,5,6,7,2,3,8,4] => [1,5,2,6,3,8,4,7] => [8,4,7,3,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,3,5,6,7,1] => [1,2,3,5,6,7,4,8] => [1,2,3,7,4,5,6,8] => [8,7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,1,5,6,7,4] => [1,5,6,7,2,3,8,4] => [1,5,2,6,3,8,4,7] => [8,4,7,3,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,5,6,7,4] => [1,2,3,5,6,7,4,8] => [1,2,3,7,4,5,6,8] => [8,7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,4,3,6,1,5] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,2,4,1,7,5] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,3,4,6,7,5] => [1,8,2,3,4,6,7,5] => [1,6,7,8,5,4,3,2] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,5,4,3,6] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,1,4,2,6] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,4,5,3,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,4,3,6,2,5] => [1,4,2,5,3,6,7,8] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,4,2,6,1,5] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,4,3,6,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,8,4,2,7,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,6,2,1,7,5] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,2,4,1,6] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,1,8,5,7,6] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,6,8,7,5] => [1,3,2,6,8,4,5,7] => [1,3,2,6,4,8,7,5] => [8,6,7,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,2,8,1,4] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,8,6,2,7,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,4,1,6,2,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,4,5,8,1,3] => [1,3,2,7,4,5,8,6] => [1,3,2,8,6,5,4,7] => [8,6,7,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,4,5,8,2,3] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,1,8,2,4] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,6,5,8,3,4] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,3,6,7,4] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,5,2,1,7,4] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,2,5,6,7,3] => [1,4,2,5,6,7,3,8] => [1,7,3,2,4,5,6,8] => [8,2,6,7,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,1,5,6,7,2] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,8,5,6,7,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,8,5,6,7,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,8,5,6,7,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,1,5,6,7,3] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,4,8,6,1,3] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,7,6,5] => [8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,2,8,1,7,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,3,8,6,7,4] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,5,8,1,7,2] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,4,8,6,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,5,6,7,2] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,8,5,6,7,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,8,5,6,7,2] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,7,2,8,4,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,4,5,8,2,1] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,4,5,8,3,1] => [1,2,4,5,8,3,6,7] => [1,2,8,7,6,3,4,5] => [8,7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,7,1,8,4,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,4,5,2,1,6] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,4,8,6,2,3] => [1,4,8,2,3,5,7,6] => [1,4,2,7,8,6,5,3] => [8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,1,8,2,7,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,5,8,2,7,1] => [1,2,7,3,5,8,4,6] => [1,2,5,7,4,3,8,6] => [8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,4,1,6,2,5] => [1,6,2,5,3,7,8,4] => [1,8,4,5,3,2,6,7] => [8,1,5,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,6,8,4,7] => [1,6,8,2,5,3,4,7] => [1,5,8,7,4,2,6,3] => [8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,5,3,8,1,7] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,1,6,8,3,7] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,1,4,8,2,7] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,5,3,8,2,7] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,4,3,8,2,7] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,7,1,8,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,8,2,7,6,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,2,8,7,5,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,6,2,1,8,5] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,1,7,2,8,5] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,7,5,8,3,2,6] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,5,8,4,2,6] => [1,3,5,8,2,6,4,7] => [1,5,2,3,6,8,7,4] => [8,4,7,6,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,7,4,6,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,8,7,3,6,2] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,8,7,3,6,2] => [1,5,2,3,6,4,8,7] => [1,6,4,3,2,5,8,7] => [8,3,5,6,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,8,1,7,5,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,1,8,6,5,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,6,4,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,1,8,6,4,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,5,3,7,4,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,8,7,3,5,2] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,7,4,5,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,8,4,1,3,5] => [1,3,5,2,8,4,6,7] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,8,4,2,5] => [1,6,8,2,5,3,4,7] => [1,5,8,7,4,2,6,3] => [8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,6,3,2,8,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,5,3,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,3,2,1,8,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,2,8,7,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,3,8,7,4,1] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,6,3,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,7,3,8,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,4,1,8,3,6] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,6,3,1,8,5] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,6,3,7,5,1] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,2,4,1,8,5] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,8,2,1,5,6] => [1,5,6,2,3,7,8,4] => [1,8,4,2,5,3,6,7] => [8,1,5,7,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,1,4,6,2,5] => [1,4,6,2,5,3,7,8] => [1,4,2,5,6,3,7,8] => [8,5,7,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,5,7,1,6,4] => [1,6,2,5,7,3,8,4] => [1,6,3,2,8,4,5,7] => [8,3,6,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,2,7,1,5,4] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,6,2,5,4,1] => [1,2,5,3,6,4,7,8] => [1,2,6,4,3,5,7,8] => [8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,8,2,1,6,5,3] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,8,1,7,5,3] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,2,7,1,6,3] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,5,7,2,6,3] => [1,5,7,2,6,3,4,8] => [1,7,4,2,5,6,3,8] => [8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,7,1,6,2,4] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,2,6,1,3,4] => [1,3,4,2,6,5,8,7] => [1,4,2,3,6,5,8,7] => [8,5,7,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,7,5,1,3,4] => [1,3,4,2,7,5,6,8] => [1,4,2,3,7,6,5,8] => [8,5,7,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,8,2,7,4,3] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,1,7,4,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,1,8,6,4,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,7,6,4,3,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,7,5,4,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,1,8,5,4,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,2,8,5,4,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,8,2,6,4,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,1,6,5,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,6,1,5,3,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,6,4,3,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,5,4,3,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,5,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,3,7,6,1,8] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,6,3,5,1,8] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,6,3,1,5,7] => [1,5,7,2,6,3,4,8] => [1,7,4,2,5,6,3,8] => [8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,6,4,5,1,8] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,6,3,5,1,8] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,2,3,4,1,8] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,2,3,1,4,7] => [1,4,7,2,3,5,8,6] => [1,4,2,8,6,5,3,7] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,6,3,1,5,7] => [1,5,7,2,6,3,4,8] => [1,7,4,2,5,6,3,8] => [8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,6,4,1,5,7] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,4,8,5,7] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,2,8,3,4,6] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,2,7,3,4,6] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,7,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,7,2,3,4,5] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,8,2,3,4,5] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,8,4,5,6] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,7,1,4,5,6] => [1,4,5,6,2,8,3,7] => [1,8,7,3,5,2,4,6] => [8,1,2,6,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,8,2,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,2,3,1,4,7] => [1,4,7,2,3,5,8,6] => [1,4,2,8,6,5,3,7] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,8,3,1,5,7] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,3,8,1,6,7] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,4,1,8,6,7] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,3,1,8,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,3,1,8,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,3,8,5,7] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,1,7,3,5,6] => [1,7,2,3,5,6,4,8] => [1,5,6,7,4,3,2,8] => [8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,7,3,5,6] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,2,7,3,4,6] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,2,3,8,4,7] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,3,8,5,7] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,8,4,5,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,7,2,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,7,2,3,4,5] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,8,6,2,3,4,5] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,2,3,4,5] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,2,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,1,7,3,5,6] => [1,7,2,3,5,6,4,8] => [1,5,6,7,4,3,2,8] => [8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,1,7,4,5,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,7,4,5,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,2,7,3,4,6] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,7,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,6,2,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,6,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,5,2,1,4,6] => [1,4,6,2,3,7,5,8] => [1,4,2,7,5,3,6,8] => [8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,5,1,8,4,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,7,1,8,3,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,7,4,1,3,6] => [1,3,6,2,7,4,5,8] => [1,6,4,2,3,7,5,8] => [8,3,5,7,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,5,4,3,8,7] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,5,1,2,8,7] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,7,2,6,3,5] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,8,5,2,1,6] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,7,3,4,6] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,5,1,7,4,2] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,4,6,7,3,1] => [1,2,4,6,7,3,5,8] => [1,2,6,3,4,7,5,8] => [8,7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,6,5,7,1,2] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,8,6,5] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,8,1,6,3,2] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,6,8,2,7,3] => [1,4,6,8,2,7,3,5] => [1,7,3,6,8,5,2,4] => [8,2,6,3,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,6,7,1,8,3] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,3,7,5,8,1] => [1,2,4,6,3,7,5,8] => [1,2,7,5,3,4,6,8] => [8,7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,3,8,5,7,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,4,2,8,6,5,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,3,5,8,6,2] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,4,1,7,3,2] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,8,2,1,6,5] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,4,1,8,2,5] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,7,6,5,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,1,6,7,5,4] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,2,6,8,5,1] => [1,2,6,8,3,7,4,5] => [1,2,8,5,3,6,7,4] => [8,7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,3,8,5,6,1] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,1,7,5,6,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,3,6,5,7,4] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,3,4,2,5] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,7,2,4,1,5] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,4,2,6,1] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,2,1,6,5] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,1,4,2,7,5] => [1,4,2,7,3,6,5,8] => [1,6,7,5,3,2,4,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,8,2,4,1,6] => [1,6,2,4,3,5,8,7] => [1,4,6,5,3,2,8,7] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,6,7,8,5] => [1,3,2,6,7,8,4,5] => [1,3,2,8,5,7,4,6] => [8,6,7,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,8,7,2,4] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,8,7,4,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,1,4,2,3] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,4,5,7,2,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,6,5,7,3,4] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,5,3,6,8,4] => [1,7,2,3,6,8,4,5] => [1,7,4,3,2,8,5,6] => [8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,5,2,1,8,4] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,2,5,6,8,3] => [1,4,2,5,6,8,3,7] => [1,8,7,3,2,4,5,6] => [8,1,2,6,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,2,8,7,3,5] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,5,8,6,7,3] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,5,8,7,3] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,2,6,8,1,4] => [1,4,2,6,8,3,5,7] => [1,6,3,2,4,8,7,5] => [8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,3,6,8,7,4] => [1,5,2,3,6,8,4,7] => [1,8,7,4,3,2,5,6] => [8,1,2,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,4,6,1,8,2] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,1,5,7,8,2] => [1,5,7,8,2,3,4,6] => [1,5,2,8,6,3,7,4] => [8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,5,6,8,7,2] => [1,4,5,6,8,2,3,7] => [1,6,2,4,8,7,3,5] => [8,3,7,5,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,6,3,1,8,7] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,4,3,8,7] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,5,2,8,4,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,5,4,2,8,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,2,4,1,8,7] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,3,4,8,5,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,3,4,1,6,5] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,3,8,4,6,2] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,3,8,6,4,1] => [1,2,5,7,3,8,4,6] => [1,2,5,3,7,4,8,6] => [8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,3,5,8,4,2] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,4,1,8,5,2] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,4,3,6,5] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,4,1,2,6,5] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,3,5,2,6,4] => [1,3,5,2,6,4,7,8] => [1,6,4,2,3,5,7,8] => [8,3,5,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,3,2,6,1,4] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,3,1,5,7,4] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,3,2,5,4,7] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,1,6,3,7,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,2,5,7,1,6] => [1,6,2,5,7,3,8,4] => [1,6,3,2,8,4,5,7] => [8,3,6,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,3,8,7,6,4] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,2,8,7,1,4] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,4,8,1,6,3] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,8,5,7,6,1] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,8,7,6,5,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,8,6,7,5,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,8,6,5,7,2] => [1,4,8,2,3,5,7,6] => [1,4,2,7,8,6,5,3] => [8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,5,4,8,2,3] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,6,8,4,2,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,5,1,7,4,3] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,1,8,7,3,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,6,3,8,1,4] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,6,8,7,5] => [1,2,3,6,8,4,5,7] => [1,2,3,6,4,8,7,5] => [8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,1,8,5,6,7] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,8,4,3,1,7] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,1,4,5,6,3] => [1,4,5,6,2,3,7,8] => [1,6,3,5,2,4,7,8] => [8,3,6,4,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,7,1,5,4,2] => [1,5,2,3,6,8,4,7] => [1,8,7,4,3,2,5,6] => [8,1,2,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,6,3,4,1,2] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,5,4,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,4,5,3,6,1] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,1,4,6,2] => [1,4,6,2,3,8,5,7] => [1,4,2,8,7,5,3,6] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,5,4,6,3] => [1,7,8,2,3,4,6,5] => [1,7,6,4,2,8,5,3] => [8,2,3,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,8,4,1,2,7] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,4,3,6,2,1] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,3,5,6,1,7] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,6,5,2,7] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => [1,7,4,5,6,3,2,8] => [8,2,5,4,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,1,4,6,7,5] => [1,4,6,7,2,3,8,5] => [1,6,3,8,5,2,4,7] => [8,3,6,1,4,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,2,5,1,7,6] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,4,2,5,7,1] => [1,2,5,7,3,8,4,6] => [1,2,5,3,7,4,8,6] => [8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,8,3,5,7,6] => [1,4,8,2,3,5,7,6] => [1,4,2,7,8,6,5,3] => [8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,4,3,5,1,7] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,1,4,6,5,7] => [1,4,6,2,3,8,5,7] => [1,4,2,8,7,5,3,6] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,3,4,5,7,6] => [1,3,4,5,7,2,8,6] => [1,8,6,2,3,4,5,7] => [8,1,3,7,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,1,6,5,3,7] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,1,6,5,7,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,6,1,4,3,5] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,6,7,4,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,6,1,4,2,3] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,6,1,4,2,8] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,2,4,1,6,3] => [1,6,2,4,3,5,8,7] => [1,4,6,5,3,2,8,7] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,3,4,7,6,1] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,3,4,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,3,4,1,6,7] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,6,1,4,5,3] => [1,4,5,2,8,3,6,7] => [1,4,2,8,7,6,3,5] => [8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,3,6,1,7,4] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,6,7,4,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,3,4,7,1,6] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,3,4,6,7,1] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,2,4,6,1,8] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,7,3,1,4,8] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,3,1,7,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,2,4,6,3,1] => [1,2,4,6,3,5,8,7] => [1,2,6,5,3,4,8,7] => [8,7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,6,1,4,3,2] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,2,1,3,7,4] => [1,3,7,2,4,5,8,6] => [1,8,6,5,4,2,3,7] => [8,1,3,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,6,1,4,8,2] => [1,4,8,2,3,5,7,6] => [1,4,2,7,8,6,5,3] => [8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,2,4,1,8,6] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,2,4,6,8,1] => [1,2,4,6,8,3,5,7] => [1,2,6,3,4,8,7,5] => [8,7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,7,3,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,7,6,8,5] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,7,4,3,8,2] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,6,4,8,7,3] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,8,6,4,7,3] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,8,7,3,4,2] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,3,7,4,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,8,7,5,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,8,6,5,7] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,8,6,7,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,7,6,5,8] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,8,5,7,6] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,8,4,3,5,2] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,8,4,5,7,3] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,2,3,1,7,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,2,4,3,1,7] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,2,4,3,7,1] => [1,2,4,3,7,5,8,6] => [1,2,4,3,8,6,5,7] => [8,7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,8,3,4,1,6] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,3,7,1,4] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,7,3,4,1,8] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,7,4,3,2,8] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,8,4,3,2,5] => [1,6,8,2,5,3,4,7] => [1,5,8,7,4,2,6,3] => [8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,6,3,4,2,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,6,5,7,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,6,2,7,5] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,8,6,2,7,5] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,8,6,5,2,7] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,5,8,3,2,4] => [1,6,2,4,3,5,8,7] => [1,4,6,5,3,2,8,7] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,7,8,3,2,5] => [1,6,7,8,2,5,3,4] => [1,6,5,2,7,3,8,4] => [8,3,4,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,5,7,3,2,8] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,7,3,8,1,6] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,2,4,8,7,1] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,2,4,8,1,7] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,6,8,4,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,2,8,1,7,4] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,5,8,3,4,2] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,6,3,8,4,1] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,5,8,7,6] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,3,7,8,6,5] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,7,3,8,6,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,7,8,3,5,2] => [1,6,7,8,2,3,5,4] => [1,7,5,2,6,3,8,4] => [8,2,4,7,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,6,8,5,7,3] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,6,3,7,8,1] => [1,2,6,3,7,8,4,5] => [1,2,8,5,7,4,3,6] => [8,7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,1,4,3,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,6,5,3,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,5,7,3,8] => [1,2,5,7,3,8,4,6] => [1,2,5,3,7,4,8,6] => [8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,1,5,7,3,6] => [1,5,7,2,4,8,3,6] => [1,5,4,2,7,3,8,6] => [8,4,5,7,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,4,7,2,5,8] => [1,4,7,2,5,8,3,6] => [1,4,2,5,7,3,8,6] => [8,5,7,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,4,5,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,5,4,2,1,6] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,1,2,3,6,5] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,6,5,4,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,5,3,4,6] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,6,4,1,3,5] => [1,3,5,2,6,4,7,8] => [1,6,4,2,3,5,7,8] => [8,3,5,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,5,4,3,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,7,5,4,3,8] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,5,4,3,6] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,2,6,4,7,5] => [1,3,8,2,6,4,7,5] => [1,7,8,5,6,4,2,3] => [8,2,1,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,2,7,4,1,8] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,5,8,7,4,3] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,8,4,2,7,5] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,5,3,8,7] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,7,5,8,1,2] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,5,6,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,1,5,3,6,8] => [1,5,2,4,7,3,6,8] => [1,4,7,6,3,2,5,8] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,6,4,2,8,5] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,5,6,8,4,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,8,6,4,1,5] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,7,6,4,5,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,7,3,6,4,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,8,3,6,1,4] => [1,4,2,7,3,6,5,8] => [1,6,7,5,3,2,4,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,8,2,4,7,3] => [1,5,6,8,2,4,7,3] => [1,5,2,7,8,3,6,4] => [8,4,7,2,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,5,3,1,4,7] => [1,4,7,2,6,8,3,5] => [1,4,2,7,3,8,5,6] => [8,5,7,2,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,4,7,3,5,8] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,3,8,4,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,5,2,1,3,8] => [1,3,8,2,4,6,7,5] => [1,6,7,8,5,4,2,3] => [8,3,2,1,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,2,8,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,6,1,8,3,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,6,2,7,3,4] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,6,3,1,8,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,3,4,2,8,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,4,2,3,8,6] => [1,4,2,3,8,5,7,6] => [1,4,3,2,7,8,6,5] => [8,5,6,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,4,3,8,1,2] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,5,8,7,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,8,3,7,5] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,5,4,8,1,7] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,4,5,8,7,2] => [1,3,4,5,8,2,6,7] => [1,8,7,6,2,3,4,5] => [8,1,2,3,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,4,1,6,3,8] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,2,8,5,3,7] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,8,1,4,3,2] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,2,3,1,4] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,2,6,5,3,8] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,6,5,3,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,7,8,2,6,5] => [1,4,7,8,2,6,3,5] => [1,6,7,3,8,5,2,4] => [8,3,2,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,4,5,6,8,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,1,6,3,8,5] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,5,6,8,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,3,5,7,1,2] => [1,2,3,5,7,4,8,6] => [1,2,3,8,6,4,5,7] => [8,7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,8,2,1,6,4] => [1,6,2,3,7,8,4,5] => [1,8,5,7,4,3,2,6] => [8,1,4,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,7,1,6,4,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,8,5,1,4,2] => [1,4,2,3,6,7,8,5] => [1,4,3,2,8,5,6,7] => [8,5,6,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,8,5,2,1,4] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,5,1,2,4,6] => [1,2,4,6,3,7,8,5] => [1,2,8,5,3,4,6,7] => [8,7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,6,4,2,5,8] => [1,6,2,5,8,3,7,4] => [1,6,3,2,7,8,4,5] => [8,3,6,7,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,6,2,3,5,7] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,6,5,4,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,6,4,5,3,7] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,5,1,4,3,6] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,7,5,1,3,4] => [1,3,4,2,8,5,6,7] => [1,4,2,3,8,7,6,5] => [8,5,7,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,7,1,3,8,5] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,1,8,2,4] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,2,4,7,1,5] => [1,5,2,4,7,3,6,8] => [1,4,7,6,3,2,5,8] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,2,4,8,1,5] => [1,5,2,4,8,3,6,7] => [1,4,8,7,6,3,2,5] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,7,1,2,8,4] => [1,2,8,3,6,7,4,5] => [1,2,8,5,6,7,4,3] => [8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,4,1,2,8,5] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,5,2,3,8,6] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,1,2,4,8,6] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,2,3,8,1,5] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,2,3,7,1,5] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,3,8,1,2,5] => [1,2,5,3,8,4,7,6] => [1,2,7,8,6,4,3,5] => [8,7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,2,3,8,1,6] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,1,4,8,2,5] => [1,4,8,2,5,3,7,6] => [1,4,2,5,7,8,6,3] => [8,5,7,4,2,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,6,1,8,3,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,6,3,7,1,4] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,1,2,7,4,5] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,3,7,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,5,7,1,2,4,6] => [1,2,4,6,3,8,5,7] => [1,2,8,7,5,3,4,6] => [8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,7,1,3,4,6] => [1,3,4,6,2,8,5,7] => [1,8,7,5,2,3,4,6] => [8,1,2,4,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,2,7,1,3,5] => [1,3,5,2,7,4,8,6] => [1,8,6,4,2,3,5,7] => [8,1,3,5,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,6,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,5,8,1,2,4] => [1,2,4,3,7,5,8,6] => [1,2,4,3,8,6,5,7] => [8,7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,4,8,1,3,5] => [1,3,5,2,7,4,8,6] => [1,8,6,4,2,3,5,7] => [8,1,3,5,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,5,8,1,3,4,7] => [1,3,4,7,2,6,5,8] => [1,6,7,5,2,3,4,8] => [8,3,2,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,8,1,2,4,7] => [1,2,4,7,3,6,5,8] => [1,2,6,7,5,3,4,8] => [8,7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,4,8,1,3,6] => [1,3,6,2,5,7,4,8] => [1,5,7,4,2,3,6,8] => [8,4,2,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,7,2,8,1,3] => [1,3,2,8,4,6,7,5] => [1,3,2,6,7,8,5,4] => [8,6,7,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,7,1,8,2,5] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,2,4,8,1,6] => [1,6,2,4,8,3,7,5] => [1,4,6,3,2,7,8,5] => [8,5,3,6,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,3,8,1,2,6] => [1,2,6,3,8,4,7,5] => [1,2,6,4,3,7,8,5] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,6,8,2,3,5] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,7,8,2,3,6] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,7,1,8,2,4] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,2,7,8,3,4] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,4,7,8,1,2] => [1,2,3,6,4,7,8,5] => [1,2,3,8,5,4,6,7] => [8,7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,5,8,6,2,3] => [1,5,8,2,3,4,7,6] => [1,7,8,6,4,2,5,3] => [8,2,1,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,2,8,6,3,4] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,1,6,2,4] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,8,6,2,3,5] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,5,2,3,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,7,5,2,3,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,8,1,6,3,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,8,2,5,1,3] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,6,7] => [8,6,7,4,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,8,5,1,2,4] => [1,2,4,3,7,8,5,6] => [1,2,4,3,7,5,8,6] => [8,7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,2,7,1,4,5] => [1,4,5,2,7,3,6,8] => [1,4,2,7,6,3,5,8] => [8,5,7,2,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,1,2,5,6] => [1,2,5,6,3,8,4,7] => [1,2,5,3,8,7,4,6] => [8,7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,1,2,4,6] => [1,2,4,6,3,8,5,7] => [1,2,8,7,5,3,4,6] => [8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,6,1,2,3,5] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,7,1,2,3,6] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,7,1,2,4,6] => [1,2,4,6,3,5,8,7] => [1,2,6,5,3,4,8,7] => [8,7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,2,7,1,3,5] => [1,3,5,2,7,4,6,8] => [1,7,6,4,2,3,5,8] => [8,2,3,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,8,6,2,3,5] => [1,8,2,3,5,4,7,6] => [1,5,7,8,6,4,3,2] => [8,4,2,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,6,4,1,2,3] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,5,1,2,3] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,1,6,2,3,4] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,6,1,3,4,5] => [1,3,4,5,2,8,6,7] => [1,5,2,3,4,8,7,6] => [8,4,7,6,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,6,1,2,3,5] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,1,4,2,8,7] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,2,1,6,4] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,4,5,1,6,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,4,5,8,2,3] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,5,3,6,4] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,1,2,6,4] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,4,5,3,2,6] => [1,4,5,2,6,3,7,8] => [1,4,2,6,3,5,7,8] => [8,5,7,3,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,4,2,6,5,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,4,8,6,3,2] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,1,8,4,7,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,8,1,5,7,2] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,4,1,6,5,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,7,8,1,9] => [1,9,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,3,4,5,6,8,9,1,7] => [1,7,2,3,4,5,6,8,9] => [1,7,6,5,4,3,2,8,9] => [9,3,4,5,6,7,8,2,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,3,5,6,7,8,9,1,4] => [1,4,2,3,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [9,6,7,8,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,4,5,6,7,8,9,1,3] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [9,7,8,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[3,4,5,6,7,8,9,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[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] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,3,4,5,6,7,8,9,1,10] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,3,4,5,6,7,1,8,9] => [1,8,9,2,3,4,5,6,7] => [1,8,6,4,2,9,7,5,3] => [9,2,4,6,8,1,3,5,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,3,4,5,6,7,8,10,1,9] => [1,9,2,3,4,5,6,7,8,10] => [1,9,8,7,6,5,4,3,2,10] => [10,2,3,4,5,6,7,8,9,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,3,4,5,6,1,9,7,8] => [1,9,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,3,4,5,6,7,9,10,1,8] => [1,8,2,3,4,5,6,7,9,10] => [1,8,7,6,5,4,3,2,9,10] => [10,3,4,5,6,7,8,9,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,3,4,5,1,8,9,6,7] => [1,8,9,2,3,4,5,6,7] => [1,8,6,4,2,9,7,5,3] => [9,2,4,6,8,1,3,5,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,3,1,6,7,8,9,4,5] => [1,6,7,8,9,2,3,4,5] => [1,6,2,7,3,8,4,9,5] => [9,4,8,3,7,2,6,1,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,4,5,6,7,8,9,10,1,3] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [10,8,9,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,4,5,6,7,8,9,10,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,6,4,5,7,2,8,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,2,4,8,1] => [1,2,4,8,3,6,5,7] => [1,2,6,8,7,5,3,4] => [8,7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,6,2,7,1,4] => [1,4,2,7,3,6,5,8] => [1,6,7,5,3,2,4,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,3,4,5,8,1] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,3,4,5,8,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,7,4,5,8,1] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,6,2,3,8,1] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,5,2,4,8,1] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,2,4,5,8,1] => [1,2,4,5,8,3,7,6] => [1,2,7,8,6,3,4,5] => [8,7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,3,4,5,8,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,1,2,8,4,7] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,2,3,7,1,4] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,1,7,3,4,6] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,1,8,3,4,6] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,2,8,4,5,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,3,1,8,4,7] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,6,2,7,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,2,3,6,1,4] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,1,7,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,3,7,2,4,5] => [1,8,2,4,5,3,7,6] => [1,4,5,7,8,6,3,2] => [8,5,4,2,1,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,7,3,4,5,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,7,3,4,5,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,1,7,2,4,5] => [1,7,2,4,5,3,8,6] => [1,4,5,8,6,3,2,7] => [8,5,4,1,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,8,2,4,5,6] => [1,7,2,4,5,6,3,8] => [1,4,5,6,7,3,2,8] => [8,5,4,3,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,7,3,4,5,6] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,7,1,8,3,6] => [1,8,2,5,7,3,6,4] => [1,8,4,5,7,6,3,2] => [8,1,5,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,7,1,8,4,5] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,1,2,8,4,5] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,1,8,3,4,5] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,5,8,4,6,7] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,3,6,8,2,7] => [1,3,6,8,2,7,4,5] => [1,8,5,2,3,6,7,4] => [8,1,4,7,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,4,6,8,2,7] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,3,8,7,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,5,8,7,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,4,8,7,1,2] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,8,7,2,4,6] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,6,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,3,7,2,4,5] => [1,8,2,4,5,3,7,6] => [1,4,5,7,8,6,3,2] => [8,5,4,2,1,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,1,7,2,4,5] => [1,7,2,4,5,3,8,6] => [1,4,5,8,6,3,2,7] => [8,5,4,1,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,8,2,6,1,3] => [1,3,2,6,4,7,8,5] => [1,3,2,8,5,4,6,7] => [8,6,7,1,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,8,7,1,4,5] => [1,4,5,2,8,3,6,7] => [1,4,2,8,7,6,3,5] => [8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,1,6,2,4,5] => [1,6,2,4,5,3,7,8] => [1,4,5,6,3,2,7,8] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,6,1,3,4,5] => [1,3,4,5,2,8,6,7] => [1,5,2,3,4,8,7,6] => [8,4,7,6,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,3,4,5,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,6,1,3,4,5] => [1,3,4,5,2,7,6,8] => [1,5,2,3,4,7,6,8] => [8,4,7,6,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,7,3,4,5,6] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,7,2,4,5,6] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,8,7,2,3,6] => [1,5,8,2,3,6,4,7] => [1,6,8,7,4,2,5,3] => [8,3,1,2,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,7,6,1,2,3] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,7,5,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,2,5,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,7,3,2,5,4] => [1,6,7,2,5,3,4,8] => [1,5,7,4,2,6,3,8] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,3,6,2,4,7] => [1,5,2,4,7,3,6,8] => [1,4,7,6,3,2,5,8] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,3,6,2,4,1] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [8,7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,3,2,6,5,1] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,4,6,7,2,3] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,3,6,2,7,4] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,3,2,6,7,5] => [1,4,2,6,7,3,5,8] => [1,6,3,2,4,7,5,8] => [8,3,6,7,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,3,2,5,6,7] => [1,4,2,5,6,7,3,8] => [1,7,3,2,4,5,6,8] => [8,2,6,7,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,3,2,5,6,1] => [1,2,5,6,3,4,8,7] => [1,2,5,3,6,4,8,7] => [8,7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,8,2,5,7,1] => [1,2,5,7,3,8,4,6] => [1,2,5,3,7,4,8,6] => [8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,1,2,5,8,7] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,3,2,6,8,5] => [1,3,2,6,8,4,5,7] => [1,3,2,6,4,8,7,5] => [8,6,7,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,3,6,2,8,4] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,4,6,8,2,3] => [1,4,6,8,2,3,5,7] => [1,6,3,8,7,5,2,4] => [8,3,6,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,3,6,2,1,4] => [1,4,2,3,6,5,8,7] => [1,4,3,2,6,5,8,7] => [8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,3,2,5,1,6] => [1,6,2,5,3,4,8,7] => [1,6,4,5,3,2,8,7] => [8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,8,2,5,1,7] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,8,6,1,7] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,8,7,1,6] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,8,7,2,1,4] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,8,7,1,2,3] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,1,7,8,2,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,1,7,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,1,2,7,8,5] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,1,8,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,1,8,2,7,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,4,8,6,2,3] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,3,2,8,6,5] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,3,2,8,5,6] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,1,2,8,5,7] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,1,2,7,5,8] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,8,2,7,5,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,8,7,2,4,1] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,1,7,2,4,8] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,3,8,2,4,6] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,3,2,4,5] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,4,5,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,1,3,2,5,4] => [1,3,2,5,4,6,8,7] => [1,3,2,5,4,6,8,7] => [8,6,7,4,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,7,8,2,4,1] => [1,2,4,3,7,8,5,6] => [1,2,4,3,7,5,8,6] => [8,7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,7,2,8,5,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,3,2,1,6,5] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,3,1,2,6,4] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,4,1,6,2,3] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,8,1,2,7,4] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,8,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,7,2,1,8,5] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,7,1,2,8,4] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,7,1,8,2,3] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,7,2,8,1,5] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,2,6,8,1,7] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,1,3,4,8,7] => [1,3,4,8,2,5,6,7] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,7,4,1,3,6] => [1,3,6,2,7,4,5,8] => [1,6,4,2,3,7,5,8] => [8,3,5,7,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,8,2,1,4,6] => [1,4,6,2,3,7,8,5] => [1,4,2,8,5,3,6,7] => [8,5,7,1,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,2,5,8,3,4] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,2,5,4,6,3] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,3,1,4,7,5] => [1,4,7,2,6,8,3,5] => [1,4,2,7,3,8,5,6] => [8,5,7,2,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,3,2,4,5,7] => [1,8,2,4,5,7,3,6] => [1,4,5,8,6,7,3,2] => [8,5,4,1,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,3,7,6,2,5] => [1,3,7,2,5,4,6,8] => [1,5,7,6,4,2,3,8] => [8,4,2,3,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,4,2,1,6,3] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,6,8,3,4,2] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,8,7,4,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,8,1,3,6,5] => [1,3,6,2,8,4,7,5] => [1,6,4,2,3,7,8,5] => [8,3,5,7,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,1,8,2,6,5] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,4,3,5,6,7] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,4,3,5,6,8] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,4,3,5,7,8] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,4,3,6,7,8] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,5,3,4,7,8] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,5,3,4,6,8] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,5,3,4,6,7] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,6,3,4,5,7] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,8,3,5,4,6] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,3,6,5,7] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,8,4,6,5,7] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,4,6,5,7] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,4,6,5,8] => [1,2,3,7,4,6,5,8] => [1,2,3,6,7,5,4,8] => [8,7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,7,4,6,5,8] => [1,3,2,7,4,6,5,8] => [1,3,2,6,7,5,4,8] => [8,6,7,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,7,3,6,5,8] => [1,4,2,7,3,6,5,8] => [1,6,7,5,3,2,4,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,7,3,6,4,8] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,6,3,5,4,7] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,5,3,6,4,7] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,4,3,7,5,8] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,4,3,6,5,7] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,3,4,6,5,7] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,3,4,6,5,8] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,3,4,7,5,6] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,4,3,7,5,6] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,4,3,8,5,7] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,4,3,8,6,7] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,5,3,8,4,6] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,5,3,7,4,6] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,6,3,8,4,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,4,7,5,6] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,3,7,5,6] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,8,3,7,4,6] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,8,3,7,4,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,8,3,6,4,5] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,7,3,6,4,5] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,7,2,5,1,8] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,7,5,2,1,8] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,8,5,1,7,2] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,3,4,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,3,4,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,7,5,3,1,8] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,2,4,3,1,8] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,4,3,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,4,3,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,4,1,6,2,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,4,1,6,3,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,4,1,3,6,2] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,4,2,1,7,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,2,4,1,7,3] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,8,5,1,7,4] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,8,5,1,4,7] => [1,4,7,2,6,8,3,5] => [1,4,2,7,3,8,5,6] => [8,5,7,2,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,2,4,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,4,2,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,4,1,3,2,6] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,4,1,2,6,3] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,4,1,2,3,6] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,5,2,3,4] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,5,2,4,3] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,5,3,2,4] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,3,5,2,4] => [1,3,5,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,2,1,6,3,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,8,1,6,5,3] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,2,1,6,4,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,3,5,4,2] => [1,3,5,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,5,4,3,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,5,4,2,3] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,4,5,2,3] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,4,5,3,2] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,4,3,5,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,3,4,5,2] => [1,3,4,5,2,6,7,8] => [1,5,2,3,4,6,7,8] => [8,4,7,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,2,1,4,6,3] => [1,4,6,2,3,5,7,8] => [1,4,2,6,5,3,7,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,8,1,5,6,4] => [1,5,6,2,7,8,3,4] => [1,8,4,2,5,7,3,6] => [8,1,5,7,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,8,4,1,7,5] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,3,2,1,7,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,3,1,4,6,2] => [1,4,6,2,3,5,7,8] => [1,4,2,6,5,3,7,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,3,1,6,4,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,3,1,6,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,8,1,5,6,2] => [1,5,6,2,3,8,4,7] => [1,8,7,4,2,5,3,6] => [8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,8,2,1,7,5] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,2,8,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,3,8,1,7,6] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,2,8,1,6,7] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,8,2,1,5,7] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,8,1,5,2,6] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,8,1,2,6,5] => [1,2,6,3,8,4,7,5] => [1,2,6,4,3,7,8,5] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,8,1,2,5,6] => [1,2,5,6,3,8,4,7] => [1,2,5,3,8,7,4,6] => [8,7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,3,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,5,3,4,7,8] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,3,1,2,6,4] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,2,1,4,3,6] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,3,4,2,5] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,4,3,2,5] => [1,4,2,5,3,6,7,8] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,4,2,5,3] => [1,4,2,5,3,6,7,8] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,4,2,3,5] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,2,5,3,4] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,2,5,4,3] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,2,4,5,3] => [1,2,4,5,3,6,7,8] => [1,2,5,3,4,6,7,8] => [8,7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,3,2,5,4] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,2,1,3,6,4] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,8,1,4,6,5] => [1,4,6,2,7,8,3,5] => [1,4,2,8,5,7,3,6] => [8,5,7,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,3,2,4,5] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,2,4,3,5] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,1,2,3,5,4] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,5,1,6,4,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,5,2,6,4,8] => [1,3,7,2,6,4,8,5] => [1,8,5,6,4,2,3,7] => [8,1,4,3,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,5,4,1,6,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,4,3,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,5,6,1,7,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,5,7,3,1,4] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,5,3,7,1,6] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,4,5,6,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,7,5,2,4,8] => [1,6,2,4,8,3,7,5] => [1,4,6,3,2,7,8,5] => [8,5,3,6,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,8,5,1,7,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,2,5,6,3,1] => [1,2,5,6,3,4,8,7] => [1,2,5,3,6,4,8,7] => [8,7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,5,2,1,8,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,5,1,2,8,6] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,1,5,6,8,2] => [1,5,6,8,2,3,7,4] => [1,5,2,6,3,7,8,4] => [8,4,7,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,7,5,2,8,4] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,7,6,8,5] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,7,1,4,8,2] => [1,4,8,2,3,6,5,7] => [1,4,2,6,8,7,5,3] => [8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,7,4,1,8,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,8,6,4,7,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,8,7,2,4,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,8,2,7,4,1] => [1,2,7,3,5,8,4,6] => [1,2,5,7,4,3,8,6] => [8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,4,2,3,7,1] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,7,3,4,2,8] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,7,4,6,3,8] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,8,7,6,3,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,6,2,7,3,8] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,7,1,8,3,6] => [1,8,2,4,7,3,6,5] => [1,4,8,5,7,6,3,2] => [8,5,1,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,4,1,8,7,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,6,8,4,2,1] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,5,8,3,4,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,6,3,8,4,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,7,8,2,5,1] => [1,2,5,3,6,4,7,8] => [1,2,6,4,3,5,7,8] => [8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,6,8,5,7,2] => [1,4,6,8,2,3,5,7] => [1,6,3,8,7,5,2,4] => [8,3,6,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,5,7,1,8,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,6,1,7,8,3] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,4,3,6,5,8] => [1,4,2,3,6,5,8,7] => [1,4,3,2,6,5,8,7] => [8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,1,2,6,5,8] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,2,1,6,5,8] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,2,5,4,1,8] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,2,5,4,8,1] => [1,2,5,3,4,8,6,7] => [1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,5,2,3,7,6] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,1,6,2,4,8] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,6,5,4,3,8] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,5,1,3,2,8] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,4,3,2,7,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,4,3,7,2,5] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,4,3,1,8,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,7,5,1,3,8,2] => [1,3,8,2,4,7,5,6] => [1,8,6,7,5,4,2,3] => [8,1,3,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,1,5,4,8,2] => [1,5,2,3,7,4,8,6] => [1,8,6,4,3,2,5,7] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,5,4,7,6] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,1,5,4,7,6] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,4,3,6,5,1] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,4,3,6,5,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,5,6,3,4,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,5,6,3,4,1] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,5,7,3,1,4] => [1,4,2,6,8,3,5,7] => [1,6,3,2,4,8,7,5] => [8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,6,1,7,3,5] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,6,7,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,7,6,8,4,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,1,6,8,4,2] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,6,1,8,3,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,6,8,1,3,2] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,5,8,3,1,2] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,5,6,8] => [8,7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,5,7,3,2,4] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,6,7,2,3,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,6,8,2,3,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,7,8,2,1,3] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [8,6,7,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,7,1,8,2,3] => [1,8,2,3,4,6,7,5] => [1,6,7,8,5,4,3,2] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,7,8,2,4] => [1,7,8,2,4,3,6,5] => [1,8,5,4,2,7,6,3] => [8,1,4,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,6,7,8,3,4] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,5,7,3,8,4] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,1,7,2,8,4] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,7,1,2,8,3] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,7,2,1,8,3] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,2,6,7,4,5] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,2,6,8,4,1] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,2,7,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,2,1,7,8,5] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,4,3,8,7,6] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,1,2,8,7,6] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,2,8,7,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,2,8,6,5,1] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,2,7,6,5,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,7,2,6,5,3] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,4,8,2,6,5,1] => [1,2,6,3,7,4,8,5] => [1,2,6,4,3,8,5,7] => [8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,8,2,7,1,5] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,4,8,2,1,7,6] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,8,1,2,7,6] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,6,8,7,3,5] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,8,7,2,5] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,8,1,7,2,5] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,8,7,1,2,4] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,8,7,2,1,4] => [1,4,2,3,6,5,8,7] => [1,4,3,2,6,5,8,7] => [8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,8,6,2,4,1] => [1,2,4,3,7,5,8,6] => [1,2,4,3,8,6,5,7] => [8,7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,7,6,2,4,3] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,7,5,4,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,8,5,4,1,2] => [1,2,3,6,7,8,4,5] => [1,2,3,8,5,7,4,6] => [8,7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,8,1,6,5,2] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,7,8,6,5,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,1,7,6,5,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,7,1,6,5,3] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,7,6,1,4,3] => [1,4,2,5,8,3,6,7] => [1,8,7,6,3,2,4,5] => [8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,7,5,4,1,3] => [1,3,2,6,8,4,5,7] => [1,3,2,6,4,8,7,5] => [8,6,7,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,12,11,10,9,8,7,6,5,4,3] => [1,12,2,3,4,5,6,7,8,9,10,11] => [1,12,11,10,9,8,7,6,5,4,3,2] => [12,1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,3,2,1,12,11,10,9,8,7,6,5] => [1,12,2,3,4,5,6,7,8,9,10,11] => [1,12,11,10,9,8,7,6,5,4,3,2] => [12,1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[6,5,4,3,2,1,12,11,10,9,8,7] => [1,12,2,3,4,5,6,7,8,9,10,11] => [1,12,11,10,9,8,7,6,5,4,3,2] => [12,1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[8,7,6,5,4,3,2,1,12,11,10,9] => [1,12,2,3,4,5,6,7,8,9,10,11] => [1,12,11,10,9,8,7,6,5,4,3,2] => [12,1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,4,3,2,1,12,11] => [1,12,2,3,4,5,6,7,8,9,10,11] => [1,12,11,10,9,8,7,6,5,4,3,2] => [12,1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[12,11,10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => [12,11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[7,4,6,1,8,3,5,2] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,1,7,4,6,2] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,1,7,5,6,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,7,5,8,3] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,2,7,5,8,3] => [1,4,6,2,7,3,5,8] => [1,4,2,6,3,7,5,8] => [8,5,7,3,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,2,6,8,4,3] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,1,6,8,4,3] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,3,1,7,5,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,4,1,7,5,2] => [1,7,2,3,6,8,4,5] => [1,7,4,3,2,8,5,6] => [8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,5,1,8,4,2] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,1,8,3,4,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,5,7,1,8,2] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,6,1,8,3,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,1,8,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,1,7,5,3,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,3,1,8,4,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,1,6,7,5,3] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,2,6,7,5,3] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,2,7,6,8,4] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,1,7,6,8,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,1,7,6,8,4] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,1,6,7,5,3] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,1,6,8,4,3] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,6,5,8,2,3] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,2,6,8,4,3] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,2,6,7,5,3] => [1,2,6,7,3,4,5,8] => [1,2,7,5,3,6,4,8] => [8,7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,2,7,6,8,4] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,7,6,8,5] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,5,8,2,3,4] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,1,5,8,3,4] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,1,7,6,8,4] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,5,8,2,4,3] => [1,6,2,4,3,5,8,7] => [1,4,6,5,3,2,8,7] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,6,8,4,2,3] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,6,7,5,2,3] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,1,7,6,8,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,1,7,6,8,4] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,2,7,6,8,4] => [1,3,5,2,7,4,6,8] => [1,7,6,4,2,3,5,8] => [8,2,3,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,1,5,8,3,4] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,7,5,8,3] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,4,8,2,5,3] => [1,6,2,5,3,4,8,7] => [1,6,4,5,3,2,8,7] => [8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,5,8,3,1,4] => [1,4,2,5,8,3,6,7] => [1,8,7,6,3,2,4,5] => [8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,6,2,1,4] => [1,4,2,3,5,7,6,8] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,5,7,6,2,4] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,3,7,6,8,4] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,3,7,6,8,4] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,6,8,4,1,3] => [1,3,2,6,8,4,5,7] => [1,3,2,6,4,8,7,5] => [8,6,7,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,6,7,5,1,3] => [1,3,2,6,7,4,5,8] => [1,3,2,6,4,7,5,8] => [8,6,7,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,2,7,6,8,4] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,7,6,8,5] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,7,6,8,5] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,3,7,6,8,5] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,3,7,6,8,5] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,3,7,6,8,4] => [1,3,7,2,5,4,6,8] => [1,5,7,6,4,2,3,8] => [8,4,2,3,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,5,7,6,1,4] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,3,5,7,1,4] => [1,4,2,3,5,7,6,8] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,3,5,8,2,4] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,6,1,2,4] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [8,7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,7,6,8,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[10,8,9,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,8,10,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,7,10,5,6,8,1,2,3,4] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => [10,9,8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,1,2,4,3,6,5,7] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,5,6,2,7,4] => [1,3,5,6,2,7,4,8] => [1,5,2,3,7,4,6,8] => [8,4,7,6,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,4,2,6,7,5] => [1,3,4,2,6,7,5,8] => [1,4,2,3,7,5,6,8] => [8,5,7,6,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,2,4,5,7,6] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,3,4,5,6,1] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,8,4,5,7,1] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,1,4,5,8,7] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,4,2,6,8,5] => [1,4,2,6,8,3,5,7] => [1,6,3,2,4,8,7,5] => [8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,6,8,2,3] => [1,5,6,8,2,3,4,7] => [1,5,2,6,3,8,7,4] => [8,4,7,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,8,5,6,1,2,3] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,4,2,6,1,5] => [1,5,2,6,3,7,8,4] => [1,5,3,2,8,4,6,7] => [8,4,6,7,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,2,4,5,1,6] => [1,6,2,4,5,3,7,8] => [1,4,5,6,3,2,7,8] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,8,4,5,1,7] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,7,4,5,8,1] => [1,2,3,6,7,4,5,8] => [1,2,3,6,4,7,5,8] => [8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,4,8,6,1,7] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,8,7,1,2,3] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,1,7,8,2,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,2,3,8,5,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,3,7,5,8] => [1,3,7,2,4,5,8,6] => [1,8,6,5,4,2,3,7] => [8,1,3,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,8,3,7,5,1] => [1,2,6,3,7,4,8,5] => [1,2,6,4,3,8,5,7] => [8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,5,8,7,3,4,1] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,8,3,4,7] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,7,8,3,4,1] => [1,2,5,6,7,8,3,4] => [1,2,7,3,5,8,4,6] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,7,3,8,5,1] => [1,2,4,6,7,3,8,5] => [1,2,6,3,4,8,5,7] => [8,7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,8,3,2,1,6,5] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,8,1,2,7,4] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,7,2,1,8,5] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,7,2,8,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,7,8,6,4,3] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,8,6,5,2,3] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,2,8,6,5,3] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,1,5,3,2,4] => [1,5,2,4,3,6,8,7] => [1,4,5,3,2,6,8,7] => [8,5,4,6,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,3,5,1,2,4] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,3,5,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,3,6,5,2,4] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,6,5,2,1,4] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,1,8,6,5,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,3,6,5,1,4] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,6,2,3,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,2,6,3,4] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,7,1,3,5,4] => [1,3,5,2,7,4,6,8] => [1,7,6,4,2,3,5,8] => [8,2,3,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,2,5,3,1,4] => [1,4,2,5,3,6,8,7] => [1,5,3,2,4,6,8,7] => [8,4,6,7,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,8,7,1,5,3] => [1,5,2,4,8,3,6,7] => [1,4,8,7,6,3,2,5] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,3,7,4,5,2] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,3,4,7,5,2] => [1,6,8,2,3,4,7,5] => [1,6,4,2,7,8,5,3] => [8,3,5,7,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,8,1,7,5,3] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,1,7,3,5,4] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,2,1,6,3,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,2,3,6,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,2,1,4,3,5] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,2,3,1,6,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,5,3,4,6,2] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,3,5,4,6,2] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,4,7,1,6,3] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,2,4,3,1,5] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,2,4,3,5] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,4,2,3,5] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,4,1,3,2,5] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,7,2,1,6,3] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,5,4,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,4,3,7,5,2] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,3,2,5,1,4] => [1,4,2,5,3,6,8,7] => [1,5,3,2,4,6,8,7] => [8,4,6,7,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,3,2,5,4] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,1,6,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,3,2,6,4] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,1,2,6,4] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,7,1,2,6,3] => [1,2,6,3,4,7,5,8] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,7,1,6,2,3] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,6,5,7,4,3] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,7,1,6,2,3] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,7,1,2,6,3] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,1,7,2,6,3] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,3,7,2,5,4] => [1,3,7,2,5,4,6,8] => [1,5,7,6,4,2,3,8] => [8,4,2,3,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,4,5,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,7,2,1,6,3] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,1,4,2,5] => [1,4,2,5,3,6,7,8] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,3,2,4,5] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,2,7,1,6,3] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,3,4,5,6,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,5,4,2,8,7] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,2,7,6,4] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,2,1,7,6,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,2,1,3,8,7] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,5,1,4,8,7] => [1,4,8,2,5,3,6,7] => [1,4,2,5,8,7,6,3] => [8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,1,3,2,8,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,2,7,6,3] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,1,6,3,2,5] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,1,6,3,5,2] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,1,6,5,3,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,1,3,7,6,2] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,3,1,7,6,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,5,1,7,6,4] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,3,7,6,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,5,1,7,4,6] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,1,6,5,2,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,2,1,4,3] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,7,6,4,1,5] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,6,4,3,5] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,6,4,5,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,7,6,4,5,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,3,6,2,5,1] => [1,2,5,3,6,4,7,8] => [1,2,6,4,3,5,7,8] => [8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,2,4,3,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,2,3,7,6,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,2,6,5,3,1] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,2,6,3,5,1] => [1,2,6,3,5,4,7,8] => [1,2,5,6,4,3,7,8] => [8,7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,4,2,5] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,4,5,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,5,4,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,4,7,6,2] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,5,2,4] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,7,6,2,5,4] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,2,6,5,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,5,4,7,1,6] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,3,6,5,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,3,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,1,3,2,4] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,1,3,4,2] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,1,4,3,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,4,1,3,2] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,7,6,1,5,4] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,6,3,5,4] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,7,6,1,4,5] => [1,4,5,2,7,3,6,8] => [1,4,2,7,6,3,5,8] => [8,5,7,2,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,1,4,2,3] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,5,1,2,4,3] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,1,8,4,6,2] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,1,8,5,6,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,2,1,8,7,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,2,7,4,3,8] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,1,8,6,5,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,1,8,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,1,8,5,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,8,7,5,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,2,7,5,3,8] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,1,8,7,6,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,1,7,8,6,4] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,1,6,8,2,3] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,2,8,4,3,7] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,8,5,3,7] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,2,8,6,4,7] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,8,6,5,7] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,4,8,2,5,6] => [1,3,4,8,2,5,6,7] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,6,8,2,3,4] => [1,5,6,8,2,3,4,7] => [1,5,2,6,3,8,7,4] => [8,4,7,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,5,7,8,3,4] => [1,5,7,8,2,6,3,4] => [1,5,2,6,7,3,8,4] => [8,4,7,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,6,8,5,2,3] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,1,8,6,7,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,1,6,8,7,4] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,5,8,7,3,4] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,8,5,7,3] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,4,8,6,2,5] => [1,4,8,2,5,3,6,7] => [1,4,2,5,8,7,6,3] => [8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,4,8,7,3,5] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,3,8,7,4,6] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,3,8,5,2,6] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,3,8,4,2,6] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,1,4,8,2,5] => [1,4,8,2,5,3,6,7] => [1,4,2,5,8,7,6,3] => [8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,4,8,3,2,5] => [1,4,8,2,5,3,6,7] => [1,4,2,5,8,7,6,3] => [8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,8,7,5,6] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,4,7,8,3,5] => [1,4,7,8,2,6,3,5] => [1,6,7,3,8,5,2,4] => [8,3,2,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,6,8,2,3,5] => [1,4,6,8,2,3,5,7] => [1,6,3,8,7,5,2,4] => [8,3,6,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,5,8,2,4,6] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,4,8,3,5,7] => [1,2,4,8,3,5,7,6] => [1,2,7,8,6,5,3,4] => [8,7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,1,6,4,8,7] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,2,3,1,8,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,3,5,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,2,4,1,8,6] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,2,4,1,8,7] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,1,6,3,8,7] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,1,5,2,8,7] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,3,4,1,8,7] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,3,4,1,8,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,6,7,3,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,5,7,3,4,1] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,3,4,1,8,5] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,1,5,2,8,6] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,3,5,2,8,6] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,4,5,2,8,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,4,5,3,8,6] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,6,7,4,5,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,6,7,3,5,2] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,3,4,1,5,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,4,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,7,3,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,5,1,6,2] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,5,7,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,5,7,4,6,2] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,7,4,6,3] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,4,6,3,8,5] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,3,6,2,8,5] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,3,6,2,8,4] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,4,7,3,5,1] => [1,2,8,3,5,4,7,6] => [1,2,5,7,8,6,4,3] => [8,7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,3,6,2,5,1] => [1,2,5,3,6,4,7,8] => [1,2,6,4,3,5,7,8] => [8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,2,5,1,8,4] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,1,7,3,8,4] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,6,2,4,1] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,6,2,3,1] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,2,3,1,8,5] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,8,6,7,5] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,1,8,5,7,4] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,3,1,7,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,5,6,2,3,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,6,2,4,1] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,2,4,1,7,3] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,1,8,6,7,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,2,8,6,7,3] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,2,8,6,7,4] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,8,5,7,4] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,2,8,5,7,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,8,5,7,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,8,4,7,3] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,2,5,1,7,3] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,3,8,4,5,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,4,6,2,7,3] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,5,6,2,7,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,5,6,2,7,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,6,3,7,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,3,8,5,6,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,4,5,1,6,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,2,8,4,5,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,6,1,3,4,2] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,3,6,2,5,4] => [1,3,6,2,5,4,7,8] => [1,5,6,4,2,3,7,8] => [8,4,3,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,4,7,2,5,6] => [1,3,8,2,5,6,4,7] => [1,5,6,8,7,4,2,3] => [8,4,3,1,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,4,7,2,5,8] => [1,4,7,2,5,8,3,6] => [1,4,2,5,7,3,8,6] => [8,5,7,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,2,5,7,3,8] => [1,2,5,7,3,8,4,6] => [1,2,5,3,7,4,8,6] => [8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,4,5,6,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,5,4,6,3,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,6,3,4,5] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,4,2,3,6,5] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,5,3,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,3,2,7,6] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,8,3,7,1,5] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,8,3,7,5,2] => [1,4,6,8,2,3,7,5] => [1,6,3,7,8,5,2,4] => [8,3,6,2,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,1,4,7,6,3] => [1,4,7,2,5,8,3,6] => [1,4,2,5,7,3,8,6] => [8,5,7,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,1,4,7,8,3] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,5,3,1,8,7] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,1,3,6,8,2] => [1,3,6,8,2,4,7,5] => [1,7,8,5,2,3,6,4] => [8,2,1,4,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,2,4,1,8] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,1,4,8,2] => [1,4,8,2,3,6,5,7] => [1,4,2,6,8,7,5,3] => [8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,7,2,1,8,4] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,5,2,4,8,3] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,2,4,5,8,7] => [1,2,4,5,8,3,6,7] => [1,2,8,7,6,3,4,5] => [8,7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,8,3,5,1,2] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,8,4,2,5,7] => [1,8,2,5,7,3,6,4] => [1,8,4,5,7,6,3,2] => [8,1,5,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,5,8,2,4,3] => [1,6,7,2,4,3,5,8] => [1,7,5,4,2,6,3,8] => [8,2,4,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,7,8,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,7,8,2,1,4] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,6,8,1,3,4] => [1,3,4,2,5,7,6,8] => [1,4,2,3,5,7,6,8] => [8,5,7,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,6,8,4,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,8,4,5,3,7] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,8,5,3,4,6] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,8,5,4,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,5,6,7,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,1,6,3,7,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,5,4,6,7,2] => [1,8,2,3,4,6,7,5] => [1,6,7,8,5,4,3,2] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,4,5,6,1,7] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,8,6,1,7,5] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,1,5,2,6,8] => [1,5,2,6,8,3,4,7] => [1,8,7,4,6,3,2,5] => [8,1,2,5,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,8,1,2,6,5] => [1,2,6,3,7,8,4,5] => [1,2,8,5,7,4,3,6] => [8,7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,8,5,2,6,4] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,6,2,5,7] => [1,8,2,5,7,3,6,4] => [1,8,4,5,7,6,3,2] => [8,1,5,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,3,8,2,5,7] => [1,6,2,5,7,3,8,4] => [1,6,3,2,8,4,5,7] => [8,3,6,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,4,8,2,6,5] => [1,3,4,8,2,6,5,7] => [1,6,8,7,5,2,3,4] => [8,3,1,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,4,1,2,7,8] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,6,4,8,5,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,4,8,3,5,6] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,5,3,8,4,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,7,1,8,4,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,7,3,1,4,8] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,7,4,2,8,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,4,1,8,3,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,5,2,8,3,4] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,3,8,4,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,4,2,3,8,7] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,3,4,2,8,6] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,5,3,2,8,4] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,4,1,2,8,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,4,3,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,2,5,3,6,8] => [1,4,2,5,3,6,8,7] => [1,5,3,2,4,6,8,7] => [8,4,6,7,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,2,5,7,3,8] => [1,6,2,5,7,3,8,4] => [1,6,3,2,8,4,5,7] => [8,3,6,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,7,5,4,2,8] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,3,7,5,4,2] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,5,6,4,2,8] => [1,3,5,6,2,8,4,7] => [1,5,2,3,8,7,4,6] => [8,4,7,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,4,5,2,8] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,6,5,1,3,8] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,3,1,5,2,8] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,1,5,3,6,8] => [1,5,2,4,3,6,8,7] => [1,4,5,3,2,6,8,7] => [8,5,4,6,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,5,4,1,6,8] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,2,3,4,7,5] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,2,3,8,6,4] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,2,3,6,7,4] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,3,7,6,4,1] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,1,3,7,4,5] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,3,5,4,7,1] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,7,8,3,6,4] => [1,7,8,2,5,3,6,4] => [1,5,8,4,2,7,6,3] => [8,4,1,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,7,8,5,6,3] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,6,8,5,1,3] => [1,3,2,4,7,5,6,8] => [1,3,2,4,7,6,5,8] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,7,6,1,8,4] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,8,1,4,6,3] => [1,4,6,2,5,7,8,3] => [1,4,2,5,8,3,6,7] => [8,5,7,4,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,1,8,6,7,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,8,6,3,7,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,6,5,3,7,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,5,7,6,3,1] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,6,7,5,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,6,2,4,1] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,4,3,6,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,8,7,1,3,5] => [1,3,5,2,8,4,6,7] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,8,6,7,2,4] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,6,4,2,8,3] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,4,1,6,2,3] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,1,2,3,7,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,2,4,3,7,1] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,3,1,2,7,4] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,2,7,6,3,8] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,2,6,8,7,3] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,1,7,6,2,8] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,7,1,6,3,8] => [1,6,2,5,7,3,8,4] => [1,6,3,2,8,4,5,7] => [8,3,6,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,5,8,7,1,2] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,5,8,6,7,2] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,6,1,8,7,3] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,1,6,8,7,2] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,5,8,6,4,3] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,5,3,8,6,4] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,7,3,8,6,5] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,7,5,2,3,8] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,6,8,5,4,7] => [1,2,6,8,3,4,7,5] => [1,2,7,8,5,3,6,4] => [8,7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,5,1,8,6,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,1,5,8,6,3] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,8,3,4,7,5] => [1,6,8,2,3,4,7,5] => [1,6,4,2,7,8,5,3] => [8,3,5,7,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,4,1,5,7,3] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,8,5,1,7,2] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,4,5,1,8,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,7,5,8,1,4] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,7,8,3,4,6] => [1,7,8,2,3,4,6,5] => [1,7,6,4,2,8,5,3] => [8,2,3,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,3,6,8,1,5] => [1,5,2,3,6,8,4,7] => [1,8,7,4,3,2,5,6] => [8,1,2,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,6,2,8,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,4,6,1,8,2] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,4,6,1,7,2] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,4,1,6,7,3] => [1,6,7,2,4,3,5,8] => [1,7,5,4,2,6,3,8] => [8,2,4,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,1,7,3,5,6] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,3,6,2,5,7] => [1,3,6,2,5,7,4,8] => [1,5,7,4,2,3,6,8] => [8,4,2,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => [1,7,4,5,6,3,2,8] => [8,2,5,4,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,4,7,1,6,3] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,7,3,1,6,2] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,3,1,7,5,2] => [1,7,2,3,4,6,8,5] => [1,6,8,5,4,3,2,7] => [8,3,1,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,2,7,1,5,4] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,1,2,6,4,7] => [1,2,6,3,8,4,7,5] => [1,2,6,4,3,7,8,5] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,1,6,2,3,8] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,4,2,7,3,6] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,8,5,3,7,4] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,3,1,7,4,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,7,1,2,4,8] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,7,2,8,4,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,7,8,3,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,4,6,2,5,7] => [1,3,4,6,2,5,7,8] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,5,6,8,1,7,3] => [1,7,2,4,5,6,8,3] => [1,4,5,6,8,3,2,7] => [8,5,4,3,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,5,6,1,7,2] => [1,7,2,3,5,6,4,8] => [1,5,6,7,4,3,2,8] => [8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,3,4,1,2,6] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,1,5,3,2] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,2,5,3,1] => [1,2,5,3,4,7,6,8] => [1,2,5,4,3,7,6,8] => [8,7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,7,2,6,3,1] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,7,1,6,3,2] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,6,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,7,5,1,2,6] => [1,2,6,3,7,4,8,5] => [1,2,6,4,3,8,5,7] => [8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,7,5,1,2,6] => [1,2,6,3,8,4,7,5] => [1,2,6,4,3,7,8,5] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,7,6,1,2,5] => [1,2,5,3,4,8,6,7] => [1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,7,6,1,2,3] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,7,1,6,3,2] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,7,2,6,3,1] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,2,7,6,4,1] => [1,2,7,3,5,8,4,6] => [1,2,5,7,4,3,8,6] => [8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,1,7,6,4,2] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,7,1,6,3,5] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,6,2,5,3,7] => [1,4,6,2,5,3,7,8] => [1,4,2,5,6,3,7,8] => [8,5,7,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,7,2,5,3,6] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,2,7,6,4,3] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,7,6,5,3] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,2,7,6,4,5] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,2,7,5,4,6] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,2,6,5,4,7] => [1,3,2,6,4,7,5,8] => [1,3,2,7,5,4,6,8] => [8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,1,6,5,4,7] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,1,7,6,4,5] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,8,7,6,5,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,8,7,6,5,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,8,7,6,5,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,1,7,5,4,6] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,1,6,5,4,7] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,6,1,5,3,7] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,7,1,6,3,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,1,7,6,4,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,1,7,6,4,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,2,7,6,4,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,2,7,5,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,1,7,5,4,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,1,7,5,4,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,7,1,5,3,4] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,1,2,4,3,7] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,1,2,4,3,6] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [8,7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,2,7,5,4,3] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,3,7,5,4,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,3,7,6,4,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,3,7,6,4,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,7,2,6,3,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,2,6,3,5] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,2,6,5,4,7] => [1,2,6,3,4,7,5,8] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,2,7,6,4,5] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,8,7,6,5,4] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,8,7,6,5,2] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,8,7,6,5,2] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,3,7,6,4,5] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,3,6,5,4,7] => [1,3,6,2,4,7,5,8] => [1,7,5,4,2,3,6,8] => [8,2,4,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,3,7,5,4,6] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,3,7,6,4,5] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,2,8,3,7,6] => [1,4,5,2,8,3,7,6] => [1,4,2,7,8,6,3,5] => [8,5,7,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,6,5,8,3,7] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,2,5,8,3,7] => [1,6,2,5,8,3,7,4] => [1,6,3,2,7,8,4,5] => [8,3,6,7,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,6,4,8,3,7] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,5,4,8,3,7] => [1,2,6,3,7,4,8,5] => [1,2,6,4,3,8,5,7] => [8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,4,7,3,8,6] => [1,2,5,3,8,4,7,6] => [1,2,7,8,6,4,3,5] => [8,7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,6,3,8,7,5] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,5,2,8,4,6] => [1,3,5,2,8,4,6,7] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,1,8,3,4,6] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,5,2,8,7,3,6] => [1,4,5,2,8,3,6,7] => [1,4,2,8,7,6,3,5] => [8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,2,8,3,7,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,3,7,6,5] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,6,5,3,7,4] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,8,6,3,7,4] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,8,7,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,1,8,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,2,8,4,5] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,4,2,8,3,5] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,2,6,3,8,4] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,7,5,3,8,4] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,6,5,3,8,4] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,5,3,8,7,4] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,6,3,8,7,4] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,7,6,3,8,4] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,2,7,3,8,4] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,8,6,3,7,5] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,3,2,4,6,5] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,3,2,4,6,5] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,7,3,6,5] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,2,8,3,6,5] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,4,2,7,3,6] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,1,7,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,7,3,8,6,4] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,5,3,7,6,4] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,3,8,7,5,4] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,6,3,8,5,4] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,7,3,8,5,4] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,8,5,3,6,4] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,2,8,6,3,5] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,3,2,6,4,5] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,8,6,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,3,2,6,4,5] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,7,6,3,5] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,7,5,3,6,4] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,6,3,7,5,4] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,3,8,6,5,4] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,7,6,2,4,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,6,3,4,5,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,6,2,4,1,3] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,6,7] => [8,6,7,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,6,2,4,3,8] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,5,2,7,3,8] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,3,7,6,2] => [1,4,5,2,3,7,6,8] => [1,4,2,5,3,7,6,8] => [8,5,7,4,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,5,3,7,8,2] => [1,4,5,2,3,7,8,6] => [1,4,2,5,3,8,6,7] => [8,5,7,4,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,8,3,5,7,2] => [1,4,8,2,3,5,7,6] => [1,4,2,7,8,6,5,3] => [8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,3,4,5,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,3,6,7,2] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,2,6,3,8] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,7,2,1,4,8] => [1,4,8,2,3,5,7,6] => [1,4,2,7,8,6,5,3] => [8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,8,2,1,7,4] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,7,2,1,8,4] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,7,3,6,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,8,3,7,2,1] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,8,2,3,7,6] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,6,2,4,3,7] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,2,6,3,7] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,8,2,1,4,7] => [1,4,7,2,3,5,8,6] => [1,4,2,8,6,5,3,7] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,8,6,5,7] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,6,1,5,7,4] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,7,1,3,5,4] => [1,3,5,2,8,4,6,7] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,2,1,6,4] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,5,6,1,7,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,6,3,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,6,3,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,6,2,8,1,4] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,8,2,1,6,4] => [1,6,2,3,5,8,4,7] => [1,5,8,7,4,3,2,6] => [8,4,1,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,6,2,1,4,8] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,5,1,3,4,8] => [1,3,4,8,2,7,5,6] => [1,8,6,7,5,2,3,4] => [8,1,3,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,8,1,3,5,4] => [1,3,5,2,7,4,6,8] => [1,7,6,4,2,3,5,8] => [8,2,3,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,6,1,4,2,3] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,1,8,5,7,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,3,8,5,7,4] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,3,6,5,8,4] => [1,3,6,2,7,4,5,8] => [1,6,4,2,3,7,5,8] => [8,3,5,7,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,8,4,3,1,5] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,1,8,3,4,5] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,1,2,8,4,6] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,2,3,7,6] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,3,4,2,5] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,8,3,2,7,5] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,6,4,1,7,5] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,7,4,3,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,2,4,1,6] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,1,8,7,5,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,1,7,3,4,5] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,1,4,3,5,7] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,1,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,2] => [1,9,2,3,4,5,6,7,8] => [9,1,8,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,3,4,5,6,7,8,9,10] => [1,3,4,5,6,7,8,9,10,2] => [1,10,2,3,4,5,6,7,8,9] => [10,1,9,8,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [11,10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[9,1,2,3,4,5,6,7,10,8] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,9,8] => [10,9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,8,2,3,4,5,6,9,7] => [1,8,2,3,4,5,6,9,7] => [1,9,7,6,5,4,3,2,8] => [9,1,3,4,5,6,7,8,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[7,1,2,3,4,5,6,9,8] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,8,7] => [9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,1,9,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[2,10,1,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,2,10] => [1,9,2,3,4,5,6,7,8,10] => [10,2,9,8,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,1,3,4,5,6,7,8,9,10,11] => [1,3,4,5,6,7,8,9,10,11,2] => [1,11,2,3,4,5,6,7,8,9,10] => [11,1,10,9,8,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[8,5,6,3,4,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,3,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,4,2,3,8] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,5,2,7,3,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,4,1,6,3,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,4,1,3,6,2] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,4,2,1,7,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,2,4,1,7,3] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,6,5,1,7,3] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,6,5,1,7,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,6,4,5,8] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,5,3,2,4,8] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,5,2,4,3,8] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,6,3,4,5,8] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,3,7,4,5,6] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,2,6,4,3,5] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,3,2,7,4,6] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,8,2,7,5,6] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,4,7,5,6] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,7,1,6,5,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,7,1,6,5,3] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,2,1,6,4,3] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,5,4,3,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,2,6,5,3,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,1,4,5,3,2] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,3,2,1,7,4] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,1,6,4,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,8,2,7,3,6] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,8,1,5,6,2] => [1,5,6,2,3,8,4,7] => [1,8,7,4,2,5,3,6] => [8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,1,2,6,5,8] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,2,3,6,7,8] => [1,5,2,3,6,7,8,4] => [1,8,4,3,2,5,6,7] => [8,1,5,6,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,4,2,3,7,6] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,4,2,6,3,8] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,5,3,7,8] => [1,5,2,3,7,8,4,6] => [1,7,4,3,2,5,8,6] => [8,2,5,6,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,4,6,5,8] => [1,4,6,2,7,3,5,8] => [1,4,2,6,3,7,5,8] => [8,5,7,3,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,1,3,6,5,8] => [1,3,6,2,4,7,5,8] => [1,7,5,4,2,3,6,8] => [8,2,4,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,2,3,6,5,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,2,4,3,7,5] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,5,6,7,8] => [1,3,2,5,6,7,8,4] => [1,3,2,8,4,5,6,7] => [8,6,7,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,4,3,6,7,8] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,5,6,7] => [8,7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,4,6,5,8] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,4,5,7,6] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,8,5,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,5,1,8,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,6,8,1,2,3] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,8,6,1,2,4] => [1,2,4,3,7,8,5,6] => [1,2,4,3,7,5,8,6] => [8,7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,5,7,1,2,6] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,6,7,1,2,5] => [1,2,5,3,4,8,6,7] => [1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,1,8,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,1,8,7,4,3] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,5,1,6,3,7] => [1,6,2,4,5,3,7,8] => [1,4,5,6,3,2,7,8] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,8,2,3,7,4] => [1,5,6,8,2,3,7,4] => [1,5,2,6,3,7,8,4] => [8,4,7,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,3,4,7,8,1] => [1,2,5,6,3,4,7,8] => [1,2,5,3,6,4,7,8] => [8,7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,6,8,5,7,3] => [1,4,2,6,8,3,5,7] => [1,6,3,2,4,8,7,5] => [8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,2,5,4,6,7] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,1,5,7,4,6] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,6,7,8,5,2] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,7,6,8,5,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,2,6,4,8,1] => [1,2,6,3,7,4,8,5] => [1,2,6,4,3,8,5,7] => [8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,1,5,8,4,2] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,1,8,5,4,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,1,5,3,4] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,1,4,3,5] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,2,8,4,5,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,3,4,8,5,2] => [1,3,4,8,2,5,6,7] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,8,2,3,6,4] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,2,3,6,5] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,2,7,4,5,6] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,7,5,8,6,2] => [1,3,7,2,4,5,8,6] => [1,8,6,5,4,2,3,7] => [8,1,3,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,5,7,8,6,2] => [1,4,5,7,8,2,3,6] => [1,8,6,2,4,7,3,5] => [8,1,3,7,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,3,4,7,6,5] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,3,4,6,5,7] => [1,3,4,6,2,5,7,8] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,3,4,5,7,6] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,3,4,6,7,5] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,6,5,8,7,3] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,4,1,8,7,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,4,8,1,6,3] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,4,8,6,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,3,8,6,1,4] => [1,4,2,3,8,5,7,6] => [1,4,3,2,7,8,6,5] => [8,5,6,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,3,8,1,6,4] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,3,1,8,7,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,1,3,8,7,4] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,4,2,8,7,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,3,2,8,7,4] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,1,2,8,7,4] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,2,1,8,7,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,2,8,1,6,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,2,8,6,1,4] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,8,2,1,5,4] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,1,8,2,6,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,3,8,2,6,4] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,4,8,2,6,3] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,4,8,6,3,2] => [1,5,7,2,3,4,8,6] => [1,8,6,4,2,5,3,7] => [8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,3,8,6,2,4] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,1,8,6,2,4] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,8,1,5,2,4] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,8,5,2,1,4] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,1,4,2,5] => [1,4,2,5,3,6,7,8] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,8,3,5,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,8,4,5,2,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,8,4,5,3,2] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,8,4,3,5,2] => [1,6,7,8,2,3,5,4] => [1,7,5,2,6,3,8,4] => [8,2,4,7,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,8,4,2,5,3] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,8,3,2,5,4] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,1,8,3,6,4] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,1,3,5,4] => [1,3,5,2,8,4,6,7] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,3,1,5,4] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,3,5,1,4] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,1,8,4,6,3] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,7,8,5,6,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,7,8,6,5,3] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,5,3,1,4] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,1,8,6,3,4] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,2,8,6,3,4] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,2,8,6,4,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,3,8,6,4,2] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,8,3,5,4,2] => [1,6,7,8,2,3,5,4] => [1,7,5,2,6,3,8,4] => [8,2,4,7,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,8,2,5,4,3] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,8,2,5,3,4] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,4,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,4,3,1,5] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,8,5,2,3,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,8,5,3,4,2] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,8,5,4,2,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,8,5,3,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,1,3,2,5] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,5,2,7,4,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,4,7,3,1] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,5,8,7,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,4,7,2,3,6] => [1,4,7,2,3,6,5,8] => [1,4,2,6,7,5,3,8] => [8,5,7,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,4,8,7,3,2] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,8,5,7,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,1,8,6,5,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,4,2,7,1,5] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,7,1,4,2,5] => [1,4,2,5,3,6,8,7] => [1,5,3,2,4,6,8,7] => [8,4,6,7,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,5,6,7,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,7,6,2,4,3] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,2,7,8,5,3] => [1,2,7,8,3,4,6,5] => [1,2,8,5,3,7,6,4] => [8,7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,2,8,7,5,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,5,2,8,1,4] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,7,4,8,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,5,1,4,6,2] => [1,4,6,2,3,5,7,8] => [1,4,2,6,5,3,7,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,4,6,7,2,3] => [1,4,6,7,2,3,5,8] => [1,6,3,7,5,2,4,8] => [8,3,6,2,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,4,3,7,2,1] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,4,2,8,5,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,2,4,5,3] => [1,6,2,4,5,3,7,8] => [1,4,5,6,3,2,7,8] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,4,1,2,6] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,1,5,6,2] => [1,5,6,2,3,8,4,7] => [1,8,7,4,2,5,3,6] => [8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,1,2,5,7,4] => [1,2,5,7,3,6,4,8] => [1,2,5,3,6,7,4,8] => [8,7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,8,7,3,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,7,3,6,8,1] => [1,2,7,3,6,8,4,5] => [1,2,7,4,3,8,5,6] => [8,7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,6,4,2,8,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,5,3,8,2,7] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,6,4,7,3,1] => [1,2,6,3,4,7,5,8] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,3,4,7,5,1] => [1,2,6,3,4,7,5,8] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,4,3,5,8,1] => [1,2,7,3,5,8,4,6] => [1,2,5,7,4,3,8,6] => [8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,4,2,8,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,4,5,2,8,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,3,1,8,2,7] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,4,2,7,3,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,1,8,3,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,2,8,3,4,7] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,2,1,8,3,6] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,3,4,8,2,7] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,3,1,8,2,7] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,4,2,7,3,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,6,4,7,3,1] => [1,2,6,3,4,7,5,8] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,2,5,7,4,1] => [1,2,5,7,3,8,4,6] => [1,2,5,3,7,4,8,6] => [8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,3,2,6,4,1] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,1,7,2,5,4] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,3,7,5,2,4] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,2,6,4,3,1] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,2,5,4,3] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,3,2,5,4] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,1,7,4,5,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,3,7,2,6,5] => [1,3,7,2,6,4,8,5] => [1,8,5,6,4,2,3,7] => [8,1,4,3,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,5,7,3,6,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,6,8,3,2,4] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,1,8,4,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,8,4,5,2,6] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,4,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,7,4,2,5,3] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,8,3,5,4,6] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,1,8,4,3,5] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,5,8,3,6,7] => [1,5,8,2,3,6,7,4] => [1,6,7,8,4,2,5,3] => [8,3,2,1,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,7,1,8,3,6] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,1,6,8,2,7] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,6,8,3,2,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,7,3,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,8,7,4,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,7,5,3,2,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,3,7,6,2,4] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,1,7,2,6,3] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,3,2,6,4,1] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,2,4,7,5,1] => [1,2,4,7,3,6,8,5] => [1,2,6,8,5,3,4,7] => [8,7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,2,6,4,1] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,8,7,3,4,1] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,8,6,3,5,1] => [1,2,8,3,5,4,7,6] => [1,2,5,7,8,6,4,3] => [8,7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,7,4,5,6,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,6,4,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,5,6,3,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,6,5,2,4,3] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,5,3,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,7,6,3,4,5] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,8,7,4,2,3] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,5,3,2,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,6,4,5,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,6,5,3,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,6,5,4,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,7,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,7,3,5,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,7,4,5,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,7,4,5,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,7,4,5,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,7,4,6,2,3] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,5,7,4,6,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,7,3,6,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,6,4,5,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,7,4,5,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,7,4,6,1,2] => [1,2,3,7,4,6,5,8] => [1,2,3,6,7,5,4,8] => [8,7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,8,5,6,1,2] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,8,5,6,2,3] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,8,5,6,2,4] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,8,5,6,1,4] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,8,5,6,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,7,4,6,1,3] => [1,3,2,7,4,6,5,8] => [1,3,2,6,7,5,4,8] => [8,6,7,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,7,4,5,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,6,4,5,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,4,5,2,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,4,5,2,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,7,4,6,2,3] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,6,1,7,3,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,6,2,7,3,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,8,4,6,2,5] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,3,5,2,4] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,7,3,6,1,4] => [1,4,2,7,3,6,5,8] => [1,6,7,5,3,2,4,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,7,3,6,1,5] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,3,8,4,6,1,5] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,8,4,6,1,5] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,8,4,6,2,5] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,7,3,6,2,5] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,7,2,6,1,5] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,5,7,2,6,1,4] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,7,3,6,1,4] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,7,3,6,2,4] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,7,3,5,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,7,3,5,1,4] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,7,2,5,1,3] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,7,6] => [8,6,7,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,7,1,4,2,3] => [1,4,2,3,5,7,6,8] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,7,1,4,2,3] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,6,7,1,5,2,3] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,7,1,5,2,4] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,8,6,7,3,4] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,8,6,7,3,4] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,8,5,7,3,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,8,5,7,3,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,5,7,1,6,2,4] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,1,5,2,3] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,6,1,5,2,3] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,6,1,5,2,4] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,8,4,7,3,5] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,6,2,8,4,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,5,1,6,3,4] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,5,1,7,3,4] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,6,2,8,4,5] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,3,6,1,8,4,5] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,7,8] => [9,8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,6,7,8] => [9,8,7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,4,6,7,8,9,5] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,5,6,7,8] => [9,8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,5,6,7,8,9,4] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,4,5,6,7,8] => [9,8,7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,9,3] => [1,2,9,3,4,5,6,7,8] => [9,8,1,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,9,2] => [1,9,2,3,4,5,6,7,8] => [9,1,8,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,8,7] => [9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,8,9] => [10,9,8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,8,6,7,9] => [1,2,3,4,5,8,7,6,9] => [9,8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,7,8,9] => [10,9,8,7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,6,7,8,9] => [10,9,8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,5,6,7,8,9] => [10,9,8,7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,2,3,5,6,7,8,9,10,4] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,4,5,6,7,8,9] => [10,9,8,1,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,4,3,5,6,7,8,9,2] => [1,4,2,3,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [9,6,7,8,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,4,5,6,7,8,9,10,3] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,3,4,5,6,7,8,9] => [10,9,1,8,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,2,4,5,6,7,8,9,1] => [1,2,4,5,6,7,8,9,3] => [1,2,9,3,4,5,6,7,8] => [9,8,1,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,3,4,5,6,7,8,9,10,2] => [1,3,4,5,6,7,8,9,10,2] => [1,10,2,3,4,5,6,7,8,9] => [10,1,9,8,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[6,7,4,8,3,5,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,5,2,8,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,6,2,3,1,8] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,6,3,8,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,8,3,6,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,5,3,7,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,6,3,7,1,2] => [1,2,3,7,4,6,5,8] => [1,2,3,6,7,5,4,8] => [8,7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,7,2,4,1,8] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,7,2,8,1,4] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,8,2,7,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,6,2,7,1,3] => [1,3,2,7,4,6,5,8] => [1,3,2,6,7,5,4,8] => [8,6,7,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,5,2,7,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,5,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,5,2,3,1,7] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,6,2,3,1,7] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,4,2,8,1,7] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,5,2,8,1,7] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,8,2,5,1,7] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,5,2,4,1,7] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,5,2,4,1,6] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,6,2,7,1,4] => [1,4,2,7,3,6,5,8] => [1,6,7,5,3,2,4,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,6,2,7,1,5] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,8,2,7,1,5] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,7,2,8,1,5] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,6,2,5,1,8] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,8,2,6,1,5] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,2,8,1,4] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,2,4,1,8] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,5,2,4,1,8] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,5,2,8,1,4] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,8,2,5,1,3] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,7,6] => [8,6,7,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,7,2,3,1,4] => [1,4,2,3,5,7,6,8] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,8,2,3,1,5] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,8,2,4,1,5] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,4,2,8,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,4,2,6,1,8] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,4,2,8,1,6] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,8,2,3,1,6] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,7,2,3,1,6] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,7,2,3,1,5] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,6,2,3,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,6,2,4,1,5] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,7,2,4,1,6] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,5,2,6,1,8] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,7,2,8,1,6] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,8,2,7,1,6] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,4,2,7,1,5] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,4,2,5,1,7] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,8,2,6,1,7] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,6,2,8,1,7] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,2,1,3,8,7] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,1,3,2,8,7] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,1,7,3,2,5] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,8,1,6,3,5,2] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,1,6,5,3,2] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,3,1,7,6,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,1,3,8,2,6] => [1,3,8,2,6,4,7,5] => [1,7,8,5,6,4,2,3] => [8,2,1,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,7,2,1,3,4] => [1,3,4,2,5,6,8,7] => [1,4,2,3,5,6,8,7] => [8,5,7,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,6,4,2,1,3] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,3,7,2,1,5] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,8,7,4,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,8,7,4,3,5] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,6,4,5,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,8,6,4,5,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,5,2,4,3,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,3,2,1,4] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,7,5,3,2,4,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,2,3,7,6,1] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,2,6,5,3,1] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,8,7,4,2,5] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,8,6,4,5,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,6,7,5,2,4] => [1,6,7,2,4,3,8,5] => [1,8,5,4,2,6,3,7] => [8,1,4,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,4,2,8,1,5,3] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,2,7,5,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,6,7,5,3,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,6,7,5,1,4] => [1,4,2,6,7,3,5,8] => [1,6,3,2,4,7,5,8] => [8,3,6,7,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,3,7,5,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,1,4,3,2] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,5,7,4,1,3,2] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,3,8,1,5,2] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,6,8,1,5,4] => [1,5,2,6,8,3,4,7] => [1,8,7,4,6,3,2,5] => [8,1,2,5,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,6,8,3,5,4] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,8,1,2,4,3] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,6,7] => [8,7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,7,4,6,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,5,4,7,6,2] => [1,3,5,2,4,7,6,8] => [1,5,4,2,3,7,6,8] => [8,4,5,7,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,4,3,8,7,2] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,3,4,5,7,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,5,3,4,8,6,2] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,4,5,6,7,2] => [1,3,4,5,6,7,2,8] => [1,7,2,3,4,5,6,8] => [8,2,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,4,5,6,3,8] => [1,7,2,4,5,6,3,8] => [1,4,5,6,7,3,2,8] => [8,5,4,3,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,7,5,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,1,4,3,7,6] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,8,4,1,3,7] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,8,5,2,4,7] => [1,8,2,4,7,3,6,5] => [1,4,8,5,7,6,3,2] => [8,5,1,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,3,5,4,7,8] => [1,2,6,3,5,4,7,8] => [1,2,5,6,4,3,7,8] => [8,7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,2,8,6,5,7] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,6,8,5,7] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,5,2,4,7,6] => [1,5,2,4,7,3,6,8] => [1,4,7,6,3,2,5,8] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,7,2,1,5,4] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,4,2,1,7,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,6,3,2,4,8] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,8,5,7,4] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,6,5,8,4] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,3,8,6,4,5] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,3,2,4,6,8] => [1,5,7,2,4,6,8,3] => [1,5,4,2,6,8,3,7] => [8,4,5,7,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,3,1,8,4,6] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,4,1,3,7,6] => [1,3,7,2,4,5,8,6] => [1,8,6,5,4,2,3,7] => [8,1,3,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,6,3,2,7,5] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,6,4,2,7,5] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,7,4,3,2,5] => [1,6,7,2,5,3,4,8] => [1,5,7,4,2,6,3,8] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,7,2,4,1,6] => [1,6,2,4,3,5,8,7] => [1,4,6,5,3,2,8,7] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,3,8,7,5,6] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,3,7,2,4,5] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,3,6,4,7,5] => [1,3,6,2,8,4,7,5] => [1,6,4,2,3,7,8,5] => [8,3,5,7,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[8,7,9,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,7,6,9,5,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,8,7] => [9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,7,6,5,9,4,3,2,1] => [1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,8,7,6] => [9,8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,7,6,5,4,9,3,2,1] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,8,7,6,5] => [9,8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,7,6,5,4,3,9,2,1] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,8,7,6,5,4] => [9,8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,7,6,5,4,3,2,9,1] => [1,2,9,3,4,5,6,7,8] => [1,2,9,8,7,6,5,4,3] => [9,8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,7,6,5,4,3,2,1,9] => [1,9,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,6,7,9,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,10,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,9,8] => [10,9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,7,5,6,9,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,8,7] => [9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,6,10,5,4,3,2,1] => [1,2,3,4,5,6,10,7,8,9] => [1,2,3,4,5,6,10,9,8,7] => [10,9,8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,7,6,4,5,9,3,2,1] => [1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,8,7,6] => [9,8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,6,5,10,4,3,2,1] => [1,2,3,4,5,10,6,7,8,9] => [1,2,3,4,5,10,9,8,7,6] => [10,9,8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,7,6,5,3,4,9,2,1] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,8,7,6,5] => [9,8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,6,5,4,10,3,2,1] => [1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,9,8,7,6,5] => [10,9,8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,7,6,5,4,2,3,9,1] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,8,7,6,5,4] => [9,8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,6,5,4,3,10,2,1] => [1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,9,8,7,6,5,4] => [10,9,8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,7,6,5,4,3,1,2,9] => [1,2,9,3,4,5,6,7,8] => [1,2,9,8,7,6,5,4,3] => [9,8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,7,6,5,4,3,2,10,1] => [1,2,10,3,4,5,6,7,8,9] => [1,2,10,9,8,7,6,5,4,3] => [10,9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,8,7,6,5,4,3,2,1,10] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,6,2,4,8,5,3,7] => [1,6,2,4,8,3,7,5] => [1,4,6,3,2,7,8,5] => [8,5,3,6,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,2,8,6,4,5] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,1,8,5,6,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,1,7,3,4,6] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,8,3,4,7,5] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,3,5,1,7,4] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,4,7,5,8,2] => [1,3,6,2,4,7,5,8] => [1,7,5,4,2,3,6,8] => [8,2,4,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,4,3,5,6] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,2,3,1,8,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,3,1,6,8,4] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,2,6,8,1,3] => [1,3,2,6,8,4,5,7] => [1,3,2,6,4,8,7,5] => [8,6,7,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,3,4,6,8,2] => [1,7,2,3,4,6,8,5] => [1,6,8,5,4,3,2,7] => [8,3,1,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,4,6,7,1,3] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,3,1,8,7,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,4,1,3,5,6] => [1,3,5,6,2,7,4,8] => [1,5,2,3,7,4,6,8] => [8,4,7,6,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,4,3,5,6,7] => [1,2,8,3,5,6,7,4] => [1,2,5,6,7,8,4,3] => [8,7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,2,3,5,6,8] => [1,7,2,3,5,6,8,4] => [1,5,6,8,4,3,2,7] => [8,4,3,1,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,1,3,2,5,7] => [1,3,2,5,7,4,6,8] => [1,3,2,7,6,4,5,8] => [8,6,7,2,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,4,3,2,5,6] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,3,2,6,4,7] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,1,2,6,4,8] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,4,2,6,3,8] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,2,7,3,6] => [1,5,8,2,7,3,6,4] => [1,8,4,2,5,7,6,3] => [8,1,5,7,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,2,8,4,7] => [1,2,8,3,6,4,7,5] => [1,2,7,8,5,6,4,3] => [8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,5,3,8,6,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,1,2,5,8,7] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,2,4,5,6,7] => [1,8,2,4,5,6,7,3] => [1,4,5,6,7,8,3,2] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,2,4,1,7,5] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,2,6,7,1,4] => [1,4,2,6,7,3,5,8] => [1,6,3,2,4,7,5,8] => [8,3,6,7,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,6,8,1,7,3] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,6,7,8,1,3] => [1,3,2,5,6,7,8,4] => [1,3,2,8,4,5,6,7] => [8,6,7,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,6,7,1,8,4] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,4,1,7,8,5] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,1,4,5,8,6] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,1,8,2,4,6] => [1,8,2,4,6,3,7,5] => [1,4,7,8,5,6,3,2] => [8,5,2,1,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,4,6,5,3,7] => [1,2,4,6,3,7,5,8] => [1,2,7,5,3,4,6,8] => [8,7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,6,5,1,3,4,7] => [1,3,4,7,2,6,5,8] => [1,6,7,5,2,3,4,8] => [8,3,2,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,6,2,5,4,7] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,4,2,8,3,6] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,8,2,7,3,5] => [1,4,6,8,2,7,3,5] => [1,7,3,6,8,5,2,4] => [8,2,6,3,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,5,2,8,3,6] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,1,2,8,4,6] => [1,2,8,3,7,4,6,5] => [1,2,8,5,7,6,4,3] => [8,7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,8,1,3,4,6] => [1,3,4,6,2,8,5,7] => [1,8,7,5,2,3,4,6] => [8,1,2,4,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,7,1,3,4,6] => [1,3,4,6,2,8,5,7] => [1,8,7,5,2,3,4,6] => [8,1,2,4,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,8,2,7,3,6] => [1,5,8,2,7,3,6,4] => [1,8,4,2,5,7,6,3] => [8,1,5,7,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,8,6,7,3,5] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,6,4,8,7,5] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,7,2,6,8,3,5] => [1,4,7,2,6,8,3,5] => [1,4,2,7,3,8,5,6] => [8,5,7,2,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,6,8,5,7,4] => [1,2,3,6,8,4,5,7] => [1,2,3,6,4,8,7,5] => [8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,2,7,8,3,6] => [1,4,2,7,8,3,6,5] => [1,7,6,3,2,4,8,5] => [8,2,3,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,6,8,7,3,5] => [1,4,2,6,8,3,5,7] => [1,6,3,2,4,8,7,5] => [8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,2,8,4,6,7,5] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,1,8,2,4,6] => [1,8,2,4,6,3,7,5] => [1,4,7,8,5,6,3,2] => [8,5,2,1,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,3,4,2,5,6] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,7,8,3,6,5] => [1,4,2,7,8,3,6,5] => [1,7,6,3,2,4,8,5] => [8,2,3,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,1,3,4,7,6] => [1,3,4,7,2,8,5,6] => [1,7,5,2,3,4,8,6] => [8,2,4,7,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,6,3,4,7,5] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,8,5,6,4] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,7,5,8,6,4] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,7,2,8,6,4,5] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,3,4,6,5] => [1,7,8,2,3,4,6,5] => [1,7,6,4,2,8,5,3] => [8,2,3,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,8,7,5,6,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,1,2,3,4,10,5,6,7,8] => [1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,9,8,7,6,5] => [10,9,8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,1,10,2,3,4,5,6,7,8] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[11,1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[8,1,2,3,4,5,6,9,10,7] => [1,2,3,4,5,6,9,10,7,8] => [1,2,3,4,5,6,9,7,10,8] => [10,9,8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[2,9,10,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2,9,10] => [1,8,2,3,4,5,6,7,9,10] => [10,3,9,8,7,6,5,4,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[11,1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9,11] => [1,10,9,8,7,6,5,4,3,2,11] => [11,2,3,4,5,6,7,8,9,10,1] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[11,10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[5,7,8,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,4,2,5,1,3] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,7,2,1,5,4] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,8,2,1,5,4] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,2,1,5,4] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,3,2,1,6,4] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,4,3,5,6,1] => [1,2,7,8,3,5,6,4] => [1,2,7,6,5,3,8,4] => [8,7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,4,2,5,1,6] => [1,6,2,5,3,7,8,4] => [1,8,4,5,3,2,6,7] => [8,1,5,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,3,2,1,4,6] => [1,4,6,2,3,5,7,8] => [1,4,2,6,5,3,7,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,7,2,1,4,5] => [1,4,5,2,3,7,6,8] => [1,4,2,5,3,7,6,8] => [8,5,7,4,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,7,2,5,1,8] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,2,1,6,5,7] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,2,1,7,5,8] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,2,7,1,6,8] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,4,2,8,6,1,7] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,2,1,8,5,7] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,2,1,8,5,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,2,1,7,5,6] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,2,1,7,6,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,2,1,8,6,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,2,1,8,7,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,8,2,1,7,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,2,8,1,6,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,2,7,6,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,2,8,6,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,4,2,8,7,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,5,7,8,3,4,1] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,2,6,7,1,3] => [1,3,2,6,7,4,5,8] => [1,3,2,6,4,7,5,8] => [8,6,7,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,2,6,1,8,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,7,2,1,8,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,7,2,1,8,5] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,7,3,8,5,1] => [1,2,6,3,8,4,7,5] => [1,2,6,4,3,7,8,5] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,2,7,1,8,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,2,1,6,8,5] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,2,1,6,7,5] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,2,1,5,8,6] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,2,1,5,8,7] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,4,2,6,8,1,7] => [1,7,2,6,8,3,5,4] => [1,8,4,6,3,2,7,5] => [8,1,5,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,4,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,2,6,3,1] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,8,5,6,3,4] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,7,5,1,4,2] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,1,6,2,4] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,4,8,5,1,7] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,4,1,7,6,8] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,3,7,1,6,8] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,3,8,1,6,7] => [1,6,7,2,5,3,8,4] => [1,5,8,4,2,6,3,7] => [8,4,1,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,8,3,1,6,7] => [1,6,7,2,5,8,3,4] => [1,5,7,3,8,4,2,6] => [8,4,2,6,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,5,4,2,8,6,7] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,5,2,1,6,7] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,5,2,1,6,8] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,7,5,1,6,8] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,2,5,1,7,8] => [1,7,8,2,5,3,6,4] => [1,5,8,4,2,7,6,3] => [8,4,1,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,2,5,1,7,8] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,7,3,2,6,8] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,7,5,2,6,8] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,4,1,2,7,8] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,1,2,7,5,8] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,1,2,7,5,8] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,2,1,4,7,8] => [1,4,7,8,2,3,6,5] => [1,7,6,3,8,5,2,4] => [8,2,3,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,7,1,3,4,8] => [1,3,4,8,2,7,5,6] => [1,8,6,7,5,2,3,4] => [8,1,3,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,7,3,1,6,8] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,7,2,3,1,5,8] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,7,3,5,8] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,1,4,7,5,8] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,1,4,7,5,8] => [1,4,7,2,3,6,5,8] => [1,4,2,6,7,5,3,8] => [8,5,7,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,2,4,5,1,8] => [1,8,2,4,5,3,6,7] => [1,4,5,8,7,6,3,2] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,4,8,5,1,6] => [1,6,2,4,8,3,7,5] => [1,4,6,3,2,7,8,5] => [8,5,3,6,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,4,6,3,8,5] => [1,4,6,2,3,8,5,7] => [1,4,2,8,7,5,3,6] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,1,5,7,4,8] => [1,5,7,2,6,3,4,8] => [1,7,4,2,5,6,3,8] => [8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,1,5,7,4,8] => [1,5,7,2,3,4,8,6] => [1,8,6,4,2,5,3,7] => [8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,5,3,7,8] => [1,5,2,3,7,8,4,6] => [1,7,4,3,2,5,8,6] => [8,2,5,6,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,1,5,3,7,8] => [1,5,2,6,3,7,8,4] => [1,5,3,2,8,4,6,7] => [8,4,6,7,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,7,5,3,6,8] => [1,7,2,3,6,8,4,5] => [1,7,4,3,2,8,5,6] => [8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,6,2,3,8] => [1,5,6,2,3,8,4,7] => [1,8,7,4,2,5,3,6] => [8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,5,3,6,8,4] => [1,5,2,3,6,8,4,7] => [1,8,7,4,3,2,5,6] => [8,1,2,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,1,7,2,3,8] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,1,7,2,3,8] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,1,2,7,4,8] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,4,7,8,3] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,8,5,4,7,6] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,5,3,8,7,6] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,1,2,8,7,6] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,1,8,2,7,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,5,3,2,7,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,5,3,1,7,6] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,8,2,1,7,6] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,2,8,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,2,1,7,8,5] => [1,7,8,2,3,4,6,5] => [1,7,6,4,2,8,5,3] => [8,2,3,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,2,1,7,5,8] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,2,7,1,8,4] => [1,8,2,7,3,5,6,4] => [1,8,4,7,6,5,3,2] => [8,1,5,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,2,8,7,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,8,2,7,1,5] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,6,3,7,2,5] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,6,3,7,5,2] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,2,7,8,4,1] => [1,2,7,8,3,5,6,4] => [1,2,7,6,5,3,8,4] => [8,7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,2,7,4,1,8] => [1,8,2,7,3,5,6,4] => [1,8,4,7,6,5,3,2] => [8,1,5,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,2,8,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,8,7,2,4,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,6,7,3,4,1] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,6,7,3,4,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,6,7,3,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,6,7,3,1,4] => [1,4,2,5,8,3,6,7] => [1,8,7,6,3,2,4,5] => [8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,2,1,8,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,1,8,7,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,1,8,6,7,4,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,2,6,7,5,4] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,6,7,8,4,3] => [1,6,7,8,2,5,3,4] => [1,6,5,2,7,3,8,4] => [8,3,4,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,6,7,4,8,3] => [1,6,7,2,5,3,4,8] => [1,5,7,4,2,6,3,8] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,6,7,4,3,8] => [1,6,7,2,5,3,8,4] => [1,5,8,4,2,6,3,7] => [8,4,1,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,1,7,4,8,2] => [1,7,2,3,5,6,4,8] => [1,5,6,7,4,3,2,8] => [8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,1,8,7,5,2] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,8,1,7,5,2] => [1,7,2,3,4,6,8,5] => [1,6,8,5,4,3,2,7] => [8,3,1,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,6,1,7,5,3] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,6,2,7,5,3] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,6,7,2,4,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,6,7,1,4,3] => [1,4,2,5,8,3,6,7] => [1,8,7,6,3,2,4,5] => [8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,8,1,3,2] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,1,3,8,2] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,1,3,2,8] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,7,3,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,8,7,4,1,2] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,6,7,4,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,6,7,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,6,7,4,3,1] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,3,7,1,6,5] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,4,3,7,1,6] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,7,3,2,4,8] => [1,5,7,2,4,8,3,6] => [1,5,4,2,7,3,8,6] => [8,4,5,7,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,4,7,1,5,6] => [1,5,6,2,4,7,3,8] => [1,5,4,2,7,3,6,8] => [8,4,5,7,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,2,4,7,1,5] => [1,5,2,4,7,3,6,8] => [1,4,7,6,3,2,5,8] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,6,7,1,8,2] => [1,8,2,3,5,6,7,4] => [1,5,6,7,8,4,3,2] => [8,4,3,2,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,7,4,6,8] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,8,4,6,7] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,7,8,4,6] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,7,8,3,2,4] => [1,5,7,8,2,4,3,6] => [1,5,2,7,3,8,6,4] => [8,4,7,2,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,1,8,3,4,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,1,7,3,4,2] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,8,7,4,6] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,6,4,7,8] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,8,7,5,6] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,6,8,7,4] => [1,6,8,2,5,3,4,7] => [1,5,8,7,4,2,6,3] => [8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,5,1,7,4,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,5,1,8,4,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,7,8,4,2,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,6,7,8,4] => [1,6,7,8,2,5,3,4] => [1,6,5,2,7,3,8,4] => [8,3,4,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,8,5,6,7] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,7,5,6,8] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,8,5,7,6] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,4,7,6,1,5] => [1,5,2,4,7,3,6,8] => [1,4,7,6,3,2,5,8] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,6,7,4,8] => [1,6,7,2,5,3,4,8] => [1,5,7,4,2,6,3,8] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,7,4,2,3,8] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,8,4,2,3,7] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,1,7,3,5,2] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,1,8,4,7,3] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,3,8,5,1,6] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,6,4,2,3,8] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,4,8,6,1,5] => [1,5,2,4,8,3,6,7] => [1,4,8,7,6,3,2,5] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,1,8,5,7,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,1,7,3,4,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,5,1,7,4,2] => [1,7,2,3,6,8,4,5] => [1,7,4,3,2,8,5,6] => [8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,6,7,4,2,3] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,8,6,7,4] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,4,1,8,6,5,7] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,7,8,6,4] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,1,6,4,2,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,5,1,7,6,4,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,1,8,6,4,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,5,1,6,4,2,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,1,8,7,6,4] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,3,1,8,4,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,7,1,8,5,2] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,7,5,1,8,2] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,1,7,5,3,8] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,4,1,6,3,8] => [1,6,2,5,7,3,8,4] => [1,6,3,2,8,4,5,7] => [8,3,6,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,4,1,6,8,3] => [1,6,8,2,5,7,3,4] => [1,5,8,4,2,6,7,3] => [8,4,1,5,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,8,3,1,6,2] => [1,6,2,3,4,7,8,5] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,5,1,8,6,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,8,5,1,7,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,3,6,1,7,2] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,6,7,1,8,2] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,6,1,7,3,8] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,8,1,6,7,4] => [1,6,7,2,5,8,3,4] => [1,5,7,3,8,4,2,6] => [8,4,2,6,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,6,8,1,7,3] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,4,1,6,7,3] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,8,5,7,3] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,7,5,8,6,3] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,8,4,1,6,3,7] => [1,6,2,5,8,3,7,4] => [1,6,3,2,7,8,4,5] => [8,3,6,7,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,6,1,8,4,7] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,2,6,1,5,7] => [1,5,7,2,6,3,4,8] => [1,7,4,2,5,6,3,8] => [8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,8,5,4,7] => [1,6,8,2,3,4,7,5] => [1,6,4,2,7,8,5,3] => [8,3,5,7,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,5,8,6,4] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,5,1,6,7,4] => [1,6,7,2,5,3,8,4] => [1,5,8,4,2,6,3,7] => [8,4,1,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,2,6,7,1,5] => [1,5,2,6,7,3,4,8] => [1,7,4,6,3,2,5,8] => [8,2,5,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,2,6,7,8,1,5] => [1,5,2,6,7,8,3,4] => [1,7,3,2,5,8,4,6] => [8,2,6,7,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,8,2,6,1,5] => [1,5,2,6,3,7,8,4] => [1,5,3,2,8,4,6,7] => [8,4,6,7,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,7,1,6,8,4] => [1,6,8,2,5,7,3,4] => [1,5,8,4,2,6,7,3] => [8,4,1,5,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,7,1,5,8,4] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,7,8,4,3] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,5,3,8,6,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,8,5,3,7,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,7,1,4,8,5] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,1,4,7,8,5] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,1,4,7,5,8] => [1,4,7,2,3,5,8,6] => [1,4,2,8,6,5,3,7] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,1,7,4,6,8] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,8,3,7,5] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,4,8,6,5] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,2,1,7,4,6] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,2,1,5,6,8] => [1,5,6,8,2,3,7,4] => [1,5,2,6,3,7,8,4] => [8,4,7,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,8,1,7,4,6] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,4,7,5,8,6] => [1,4,7,2,3,5,8,6] => [1,4,2,8,6,5,3,7] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,2,1,8,4,6,7] => [1,8,2,3,4,6,7,5] => [1,6,7,8,5,4,3,2] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,2,1,5,6,7] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,2,1,5,6,7] => [1,5,6,7,2,3,8,4] => [1,5,2,6,3,8,4,7] => [8,4,7,3,6,1,5,2] => [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] => [1,9,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,7,6,4,5,3,2,1,9] => [1,9,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,9,8,7,5,6,4,3,2] => [1,9,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,10,9,8,7,6,5,4,3,2] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,4,3,2,1,11] => [1,11,2,3,4,5,6,7,8,9,10] => [1,11,10,9,8,7,6,5,4,3,2] => [11,1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[9,8,7,5,6,4,3,2,1,10] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,9,8,6,5,7,4,3,2] => [1,9,2,3,4,5,7,6,8] => [1,7,9,8,6,5,4,3,2] => [9,3,1,2,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,9,8,5,7,6,4,3,2] => [1,9,2,3,4,5,7,6,8] => [1,7,9,8,6,5,4,3,2] => [9,3,1,2,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,10,9,8,6,7,5,4,3,2] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,11,10,9,8,7,6,5,4,3,2] => [1,11,2,3,4,5,6,7,8,9,10] => [1,11,10,9,8,7,6,5,4,3,2] => [11,1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[6,2,3,1,5,4,8,7] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,2,3,1,7,6] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,2,5,3,4,1] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,3,4,1,7,6] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,3,4,1,8,7] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,2,4,3,8,7] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,1,3,2,8,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,3,4,2,8,7] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,1,4,2,8,7] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,2,4,1,7,6] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,5,6,2,4,1] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,2,4,1,6,5] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,3,4,2,7,6] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,1,3,2,7,6] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,4,5,3,7,6] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,4,5,1,3,2] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,3,5,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,5,6,1,4,2] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,3,6,1,4,2] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,4,6,1,5,2] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,5,6,3,4,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,5,6,1,3,2] => [1,3,2,4,7,5,6,8] => [1,3,2,4,7,6,5,8] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,4,7,5,6,3] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,3,6,4,5,1] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,3,6,1,5,4] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,2,7,4,6,5] => [1,3,2,7,4,6,5,8] => [1,3,2,6,7,5,4,8] => [8,6,7,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,3,7,4,6,5] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,1,4,3,6,5] => [1,4,2,7,3,6,5,8] => [1,6,7,5,3,2,4,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,5,6,3,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,5,6,2,3,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,2,3,1,6,5] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,1,7,4,6,5] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,1,5,4,7,6] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,8,6,7,5] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,2,3,1,5,4] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,1,7,5,6,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,2,6,3,4,1] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,2,5,1,4,3] => [1,4,2,5,3,6,7,8] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,1,5,2,4,3] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,7,1,3,2,5,4] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,6,7,3,5,4] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,3,7,5,6,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,2,7,5,6,4] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,5,6,2,4,3] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,4,6,1,5,3] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,2,6,3,5,1] => [1,2,6,3,5,4,7,8] => [1,2,5,6,4,3,7,8] => [8,7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,4,6,2,5,3] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,6,2,4,3] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,7,3,6,4] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,6,1,3,2] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [8,6,7,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,6,3,4,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,4,6,3,5,2] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,6,3,5,2] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,1,3,2,7,4] => [1,3,2,7,4,5,8,6] => [1,3,2,8,6,5,4,7] => [8,6,7,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,6,3,2,7,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,4,1,5,3] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,8,4,5,7,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,8,4,5,7,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,6,1,5,7,3] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,8,4,5,7,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,8,4,5,7,2] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,8,4,5,7,1] => [1,2,3,6,8,4,5,7] => [1,2,3,6,4,8,7,5] => [8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,8,4,1,5,2] => [1,5,2,3,7,8,4,6] => [1,7,4,3,2,5,8,6] => [8,2,5,6,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,8,4,6,5,2] => [1,3,7,8,2,4,6,5] => [1,8,5,2,3,7,6,4] => [8,1,4,7,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,8,2,4,6,3] => [1,5,7,8,2,4,6,3] => [1,5,2,8,3,7,6,4] => [8,4,7,1,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,8,2,4,6,3] => [1,7,8,2,4,6,3,5] => [1,6,8,5,4,2,7,3] => [8,3,1,4,5,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,8,4,2,5,1] => [1,2,5,3,6,7,8,4] => [1,2,8,4,3,5,6,7] => [8,7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,4,2,5,3] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,7,1,6,5,4] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,7,3,6,1,4] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,8,4,6,5,3] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,8,4,6,5,1] => [1,2,7,8,3,4,6,5] => [1,2,8,5,3,7,6,4] => [8,7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,8,1,4,6,3] => [1,4,6,2,7,8,3,5] => [1,4,2,8,5,7,3,6] => [8,5,7,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,8,5,4,6,3] => [1,2,7,8,3,4,6,5] => [1,2,8,5,3,7,6,4] => [8,7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,8,5,6,7] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,5,8,3,4,6,1] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,5,4,3,1,7] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,5,4,1,6,7] => [1,6,7,2,8,3,5,4] => [1,8,4,2,6,3,7,5] => [8,1,5,7,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,5,3,1,6,7] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,8,2,4,6,1] => [1,2,4,6,3,5,8,7] => [1,2,6,5,3,4,8,7] => [8,7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,8,5,6,7] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,2,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,8,3,4,6,2] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,8,1,4,6,2] => [1,4,6,2,3,7,5,8] => [1,4,2,7,5,3,6,8] => [8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,8,3,4,6,2] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,5,4,3,2,7] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,6,3,4,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,3,5,6,2,7] => [1,8,2,7,3,5,6,4] => [1,8,4,7,6,5,3,2] => [8,1,5,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,4,1,3,2,7] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,8,1,5,3,2,7] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,4,5,3,2,7] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,3,8,5,4,6,2] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,8,5,4,6,2] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,8,4,6,5,2] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,4,3,6,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,4,1,6,5,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,4,3,1,6,7] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,4,2,3,1,7] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,2,8,5,6,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,2,8,5,6,7] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,3,5,1,6,7] => [1,6,7,2,8,3,5,4] => [1,8,4,2,6,3,7,5] => [8,1,5,7,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,4,5,1,6,7] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,4,5,3,1,7] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,8,5,4,6,1] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,3,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,4,8,5,6,7] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,2,4,8,6,7] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,7,6,5] => [8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,4,5,3,7,6] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,2,5,3,6,7] => [1,8,2,5,3,6,7,4] => [1,6,7,8,4,5,3,2] => [8,3,2,1,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,4,8,2,6,7] => [1,4,8,2,6,7,3,5] => [1,4,2,8,5,6,7,3] => [8,5,7,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,5,4,3,6,7] => [1,2,8,3,6,7,4,5] => [1,2,8,5,6,7,4,3] => [8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,8,5,3,7,6] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,4,8,5,3,6] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,7,4,8,3,6] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,1,4,7,2,6] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,5,7,4,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,8,7,5,3,6] => [1,2,4,8,3,6,5,7] => [1,2,6,8,7,5,3,4] => [8,7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,4,3,7,6,5] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,8,7,4,3,5] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,8,7,3,5] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,4,2,8,3,5] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,2,8,4,3,5] => [1,6,7,2,8,3,5,4] => [1,8,4,2,6,3,7,5] => [8,1,5,7,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,4,2,8,3,5] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,1,4,8,2,5] => [1,4,8,2,5,3,7,6] => [1,4,2,5,7,8,6,3] => [8,5,7,4,2,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,8,4,5,3,6] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,7,8,5,3,6] => [1,4,2,7,8,3,6,5] => [1,7,6,3,2,4,8,5] => [8,2,3,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,8,4,3,7,5] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,8,3,7,5] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,3,2,4,8,5] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,7,6,5] => [8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,3,2,4,8,5] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,7,6,5] => [8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,3,5,8,4,6] => [1,2,7,3,5,8,4,6] => [1,2,5,7,4,3,8,6] => [8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,8,7,3,4,6] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,7,3,5,4,6] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,3,2,4,7,5] => [1,3,2,4,7,5,6,8] => [1,3,2,4,7,6,5,8] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,1,7,3,6,5] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,7,4,3,6,5] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,8,4,3,6,5] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,4,7,5,3,6] => [1,2,8,3,6,4,7,5] => [1,2,7,8,5,6,4,3] => [8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,7,4,5,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,8,6,4,3,5] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,2,8,6,3,5] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,7,1,6,2,5] => [1,6,2,5,3,4,8,7] => [1,6,4,5,3,2,8,7] => [8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,1,7,6,3,5] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,7,6,4,3,5] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,4,1,6,2,5] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,4,1,7,2,5] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,4,1,8,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,4,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,4,1,5,2,7] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,4,1,5,2,8] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,4,1,6,2,8] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,8,3,4,1,7] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,7,3,4,1,8] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,8,3,5,1,7] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,5,1,8,2,6] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,4,1,8,3,7] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,5,1,7,3,8] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,5,1,8,3,7] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,7,3,8,2,6] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,7,3,8,1,5] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,7,4,8,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,8,4,7,1,2] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,8,3,7,1,4] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,8,3,7,1,5] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,7,3,6,2,8] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,8,3,6,2,7] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[9,2,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2,9] => [1,8,2,3,4,5,6,7,9] => [9,2,8,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[10,2,1,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,2,10] => [1,9,2,3,4,5,6,7,8,10] => [10,2,9,8,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[4,2,3,5,6,7,8,9,1] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,4,5,6,7,8] => [9,8,7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[3,2,4,5,6,7,8,9,10,1] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,3,4,5,6,7,8,9] => [10,9,1,8,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[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] => [11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[6,5,3,2,1,4,8,7] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,5,2,1,8,7] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,2,4,1,6] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,4,5,7,3,1] => [1,2,4,5,7,3,6,8] => [1,2,7,6,3,4,5,8] => [8,7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,4,5,3,1,6] => [1,6,2,4,5,3,7,8] => [1,4,5,6,3,2,7,8] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,1,4,5,2,8,7] => [1,4,5,2,8,3,6,7] => [1,4,2,8,7,6,3,5] => [8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,4,5,7,2,1] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,4,3,6,2,1] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,8,5,7,4,3] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,5,1,7,4,2] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,4,7,6,3,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,1,5,6,7,2] => [1,5,6,7,2,3,8,4] => [1,5,2,6,3,8,4,7] => [8,4,7,3,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,4,1,6,3,2] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,6,1,4,7,2] => [1,4,7,2,3,6,5,8] => [1,4,2,6,7,5,3,8] => [8,5,7,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,6,1,2,7,5] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,4,5,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,4,1,6,3,5] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,6,2,4,7,1] => [1,2,4,7,3,6,5,8] => [1,2,6,7,5,3,4,8] => [8,7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,2,1,4,6] => [1,4,6,2,3,5,7,8] => [1,4,2,6,5,3,7,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,4,5,7,1,3] => [1,3,2,6,8,4,5,7] => [1,3,2,6,4,8,7,5] => [8,6,7,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,8,4,5,7,2,3] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,5,1,7,2,4] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,8,3,6,7,4] => [1,5,8,2,3,6,7,4] => [1,6,7,8,4,2,5,3] => [8,3,2,1,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,6,1,2,7,4] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,2,5,6,7,3] => [1,8,2,5,6,7,3,4] => [1,8,4,5,6,7,3,2] => [8,1,5,4,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,1,5,6,7,3] => [1,5,6,7,2,4,8,3] => [1,5,2,8,3,6,4,7] => [8,4,7,1,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,1,5,6,7,3] => [1,5,6,7,2,3,4,8] => [1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,4,7,6,2,3] => [1,4,7,2,3,5,8,6] => [1,4,2,8,6,5,3,7] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,8,6,1,7,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,8,5,6,7,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,9,10,1,2,3,4,6] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [10,9,8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,8,9,10,11,12,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => [12,11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[4,5,7,6,2,3,8,1] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,7,3,6,4,8,1] => [1,2,5,7,3,6,4,8] => [1,2,5,3,6,7,4,8] => [8,7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,3,7,6,1,5,2] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,3,5,4,8,1] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,7,3,6,4,8,1] => [1,2,7,3,6,4,8,5] => [1,2,8,5,6,4,3,7] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,7,6,1,5,2] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,3,7,6,8,5,2] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,3,6,8,4,2] => [1,7,2,3,6,8,4,5] => [1,7,4,3,2,8,5,6] => [8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,3,5,8,4,2] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,3,6,1,4,2] => [1,4,2,3,6,5,8,7] => [1,4,3,2,6,5,8,7] => [8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,7,6,1,5,2] => [1,5,2,3,7,4,8,6] => [1,8,6,4,3,2,5,7] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,7,6,1,5,2] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,7,1,6,5,3] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,7,2,6,5,3] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,2,7,6,5,4] => [1,3,2,7,4,5,6,8] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,1,7,6,5,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,1,7,6,5,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,2,8,5,4,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,1,7,6,5,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,1,7,6,5,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,1,7,6,8,5,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,2,1,6,4,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,2,8,6,4,3] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,1,6,8,4,2] => [1,6,8,2,3,5,7,4] => [1,7,8,4,2,6,5,3] => [8,2,1,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,6,8,1,3,2] => [1,3,2,4,7,5,6,8] => [1,3,2,4,7,6,5,8] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,8,2,6,4,3] => [1,5,7,8,2,6,3,4] => [1,5,2,6,7,3,8,4] => [8,4,7,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,1,2,6,4,3] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,7,6,1,5,2] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,6,1,5,2] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,1,5,4,3] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,7,1,6,5,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,1,7,6,5,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,2,7,6,5,4] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,1,2,7,6,5,4] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,3,7,6,5,4] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,3,7,6,5,4] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,3,7,6,5,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,2,6,5,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,8,2,5,4,3] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,1,2,6,4,3] => [1,2,6,3,4,5,8,7] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,7,2,6,5,3] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,2,7,6,5,4] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,3,7,6,5,4] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,3,7,6,5,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,7,6,5,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,5,6,7,8,9,11,1,10] => [1,10,2,3,4,5,6,7,8,9,11] => [1,10,9,8,7,6,5,4,3,2,11] => [11,2,3,4,5,6,7,8,9,10,1] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[6,7,1,8,4,5,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,5,8,3,6,4] => [1,5,8,2,7,3,6,4] => [1,8,4,2,5,7,6,3] => [8,1,5,7,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,1,8,2,7,4] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,1,8,7,2,3] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,5,7,6,2,3] => [1,4,5,7,2,3,6,8] => [1,7,6,3,5,2,4,8] => [8,2,3,6,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,1,8,7,2,3] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,1,8,2,7,4] => [1,8,2,7,3,5,6,4] => [1,8,4,7,6,5,3,2] => [8,1,5,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,1,3,8,7,5] => [1,3,8,2,4,6,5,7] => [1,6,8,7,5,4,2,3] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,2,8,7,5] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,8,2,7,4] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,5,7,3,6,4] => [1,2,5,7,3,6,4,8] => [1,2,5,3,6,7,4,8] => [8,7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,5,8,3,6,4] => [1,5,8,2,3,6,4,7] => [1,6,8,7,4,2,5,3] => [8,3,1,2,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,1,8,3,7,4] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,1,3,8,7,5] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,1,4,8,7,5] => [1,4,8,2,3,6,5,7] => [1,4,2,6,8,7,5,3] => [8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,3,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,3,8,7,5] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,4,3,8,6,5] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,4,3,7,6,5] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,4,2,7,6,5] => [1,3,4,2,7,5,6,8] => [1,4,2,3,7,6,5,8] => [8,5,7,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,4,2,8,6,5] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,1,2,8,7,5] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,1,2,8,7,5] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,1,3,8,7,5] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,4,2,8,6,5] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,2,3,8,6,5] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,1,2,4,8,6,5] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,3,4,8,6,5] => [1,3,4,8,2,7,5,6] => [1,8,6,7,5,2,3,4] => [8,1,3,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,1,4,8,7,5] => [1,4,8,2,3,6,5,7] => [1,4,2,6,8,7,5,3] => [8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,1,8,3,7,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,8,3,7,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,2,7,3,6,4] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,4,2,3,7,6,5] => [1,4,2,3,7,5,6,8] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,2,3,8,6,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,3,8,7,5] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,3,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,4,1,8,7,6] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,2,1,4,8,7,5] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,2,4,8,6,5] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,3,2,4,7,6,5] => [1,3,2,4,7,5,6,8] => [1,3,2,4,7,6,5,8] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,4,7,6,5] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,3,4,8,6,5] => [1,3,4,8,2,5,6,7] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,1,4,8,7,5] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,3,5,8,7,1] => [1,2,4,6,3,5,8,7] => [1,2,6,5,3,4,8,7] => [8,7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,3,5,1,8,7] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,5,3,8,7] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,5,3,1,8,7] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,5,1,3,8,7] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,5,1,8,7,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,5,8,3,7] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,6,5,8,3,7] => [1,4,6,2,3,7,5,8] => [1,4,2,7,5,3,6,8] => [8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,5,8,7,3] => [1,6,2,4,3,5,8,7] => [1,4,6,5,3,2,8,7] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,5,3,8,7,1] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,3,8,7,1,5] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,3,8,7,5,1] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,8,5,3,7,1] => [1,2,6,8,3,7,4,5] => [1,2,8,5,3,6,7,4] => [8,7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,8,1,5,7,3] => [1,5,7,2,4,6,8,3] => [1,5,4,2,6,8,3,7] => [8,4,5,7,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,1,8,5,7,3] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,6,8,5,7,3] => [1,4,6,8,2,3,5,7] => [1,6,3,8,7,5,2,4] => [8,3,6,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,6,8,5,3,7] => [1,4,6,8,2,3,7,5] => [1,6,3,7,8,5,2,4] => [8,3,6,2,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,1,8,5,3,7] => [1,8,2,4,6,3,7,5] => [1,4,7,8,5,6,3,2] => [8,5,2,1,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,8,5,3,1,7] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,8,5,1,7,3] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,8,3,5,7,1] => [1,2,4,6,8,3,5,7] => [1,2,6,3,4,8,7,5] => [8,7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,8,3,5,1,7] => [1,7,2,4,6,8,3,5] => [1,4,7,3,2,8,5,6] => [8,5,2,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,8,3,1,5,7] => [1,5,7,2,4,6,8,3] => [1,5,4,2,6,8,3,7] => [8,4,5,7,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,3,1,8,5,7] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,3,8,5,7,1] => [1,2,4,6,3,8,5,7] => [1,2,8,7,5,3,4,6] => [8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,6,8,5,7,1] => [1,2,4,3,6,8,5,7] => [1,2,4,3,8,7,5,6] => [8,7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,6,1,8,5,7] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,3,6,1,8,7,5] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,5,2,8,7,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,5,8,7,3,1] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,3,1,8,7,5] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,6,3,8,7,5] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,6,3,8,7,5] => [1,4,6,2,3,8,5,7] => [1,4,2,8,7,5,3,6] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,6,8,3,7,5] => [1,4,6,8,2,3,7,5] => [1,6,3,7,8,5,2,4] => [8,3,6,2,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,1,8,3,7,5] => [1,8,2,4,6,3,7,5] => [1,4,7,8,5,6,3,2] => [8,5,2,1,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,8,3,1,7,5] => [1,7,2,4,6,8,3,5] => [1,4,7,3,2,8,5,6] => [8,5,2,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,8,5,7,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,8,7,5,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,8,1,7,5,3] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,1,8,7,5,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,4,8,7,5,3] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,4,8,7,3,5] => [1,6,2,3,5,4,8,7] => [1,5,6,4,3,2,8,7] => [8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,1,8,7,3,5] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,8,7,5,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,8,7,3,5,1] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,8,7,3,1,5] => [1,5,2,4,8,3,6,7] => [1,4,8,7,6,3,2,5] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,4,7,3,6,8,1] => [1,2,4,7,3,6,8,5] => [1,2,6,8,5,3,4,7] => [8,7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,3,7,2,4,5] => [1,6,2,4,5,3,7,8] => [1,4,5,6,3,2,7,8] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,3,8,2,4,5] => [1,6,2,4,5,3,8,7] => [1,4,5,6,3,2,8,7] => [8,5,4,3,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,3,7,1,4,5] => [1,4,5,2,8,3,7,6] => [1,4,2,7,8,6,3,5] => [8,5,7,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,3,7,2,4,5] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,1,7,3,4,6] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,1,8,3,4,6] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,3,8,2,4,5] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,4,8,3,6,7] => [1,2,4,8,3,6,7,5] => [1,2,6,7,8,5,3,4] => [8,7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,5,8,2,7] => [1,5,8,2,7,3,6,4] => [1,8,4,2,5,7,6,3] => [8,1,5,7,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,4,5,8,3,7] => [1,4,5,8,2,6,3,7] => [1,6,8,7,3,5,2,4] => [8,3,1,2,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,3,4,8,2,7] => [1,3,4,8,2,7,5,6] => [1,8,6,7,5,2,3,4] => [8,1,3,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,4,8,3,5,7] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,2,8,4,6,7] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,4,1,8,6,7] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,2,1,8,6,7] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,8,7,2,3,5] => [1,6,2,3,5,4,8,7] => [1,5,6,4,3,2,8,7] => [8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,3,7,1,4,5] => [1,4,5,2,8,3,7,6] => [1,4,2,7,8,6,3,5] => [8,5,7,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,8,7,2,3,6] => [1,4,8,2,3,6,5,7] => [1,4,2,6,8,7,5,3] => [8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,5,1,3,8,6] => [1,3,8,2,5,4,7,6] => [1,5,7,8,6,4,2,3] => [8,4,2,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,1,5,4,8,6] => [1,5,2,3,7,4,8,6] => [1,8,6,4,3,2,5,7] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,1,5,4,7,6] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,1,5,4,6,7] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,1,6,4,5,7] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,2,1,4,6,5,7] => [1,4,6,2,3,5,7,8] => [1,4,2,6,5,3,7,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,1,4,5,8,6] => [1,4,5,8,2,3,7,6] => [1,7,8,6,3,5,2,4] => [8,2,1,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,4,6,8,5] => [1,4,6,8,2,7,3,5] => [1,7,3,6,8,5,2,4] => [8,2,6,3,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,1,4,6,7,5] => [1,4,6,7,2,8,3,5] => [1,8,5,2,4,7,3,6] => [8,1,4,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,1,5,7,4,6] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,5,1,8,3,6] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,7,5,8,6,4] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,6,8,4,5] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,6,1,7,3,5] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,1,6,7,4,5] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,8,7,5,6,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,1,7,4,5,6] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,1,6,4,7,5] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,6,4,8,5] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,6,1,3,8,5] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,6,1,3,7,5] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,7,1,3,6,5] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,3,4,1,2,6] => [1,2,6,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,8,1,3,6,5] => [1,3,6,2,7,8,4,5] => [1,8,5,7,4,2,3,6] => [8,1,4,2,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,7,1,3,8,5] => [1,3,8,2,6,7,4,5] => [1,8,5,6,7,4,2,3] => [8,1,4,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,1,8,4,7,5] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,1,8,4,5,6] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,1,8,5,4,6] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,8,5,1,2,6] => [1,2,6,3,8,4,7,5] => [1,2,6,4,3,7,8,5] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,8,6,4,5] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,8,5,7,4] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,1,8,7,4,5] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,8,1,7,3,5] => [1,7,2,6,8,3,5,4] => [1,8,4,6,3,2,7,5] => [8,1,5,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,8,7,5,1,2] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,7,5,6] => [8,7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,4,8,7,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,2,7,8,5,3] => [1,4,6,2,7,8,3,5] => [1,4,2,8,5,7,3,6] => [8,5,7,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,5,4,2,6,7] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,4,6,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,5,4,6,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,7,8,5,1,2] => [1,2,3,6,7,8,4,5] => [1,2,3,8,5,7,4,6] => [8,7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,3,8,7,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,5,4,7,1,2] => [1,2,3,6,8,4,7,5] => [1,2,3,6,4,7,8,5] => [8,7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,5,4,7,1,2] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,5,4,8,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,2,5,4,8,7,3] => [1,6,2,5,3,4,8,7] => [1,6,4,5,3,2,8,7] => [8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,5,7,3,6,4] => [1,8,2,5,7,3,6,4] => [1,8,4,5,7,6,3,2] => [8,1,5,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,5,4,8,7,3] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,8,7,5,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,2,4,6,5,3] => [1,2,4,6,3,5,7,8] => [1,2,6,5,3,4,7,8] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,8,2,7,5] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,5,4,1,6,7] => [1,6,7,2,3,8,4,5] => [1,8,5,3,7,4,2,6] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,1,5,2,3,7,6] => [1,5,2,3,7,4,8,6] => [1,8,6,4,3,2,5,7] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,6,4,3,2,8] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,7,4,3,2,8] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,6,4,3,2,7] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,1,5,8,2,7] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,1,6,3,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,7,4,3,2,5] => [1,6,8,2,5,3,4,7] => [1,5,8,7,4,2,6,3] => [8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,4,3,2,5] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,7,4,3,2,8] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,6,4,3,2,8] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,8,4,3,2,5] => [1,7,8,2,5,3,4,6] => [1,5,7,4,2,8,6,3] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,4,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,7,6,4,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,5,6,3,8,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,7,5,8,2,4] => [1,6,7,2,4,3,5,8] => [1,7,5,4,2,6,3,8] => [8,2,4,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,5,3,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,4,5,6,3] => [1,4,5,6,2,3,7,8] => [1,6,3,5,2,4,7,8] => [8,3,6,4,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,5,4,6,7,3] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,5,6,3,7,4] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,5,7,3,8,4] => [1,2,5,7,3,8,4,6] => [1,2,5,3,7,4,8,6] => [8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,5,6,3,7,8] => [1,5,6,2,3,7,8,4] => [1,8,4,2,5,3,6,7] => [8,1,5,7,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,3,7,8,2,4] => [1,6,2,4,3,7,8,5] => [1,4,8,5,3,2,6,7] => [8,5,1,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,6,3,7,1,8,5] => [1,8,2,4,6,3,7,5] => [1,4,7,8,5,6,3,2] => [8,5,2,1,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,7,3,8,2,5] => [1,6,7,2,5,3,8,4] => [1,5,8,4,2,6,3,7] => [8,4,1,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,5,2,3,7,8] => [1,5,2,3,7,8,4,6] => [1,7,4,3,2,5,8,6] => [8,2,5,6,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,5,2,3,8,6] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,5,8,3,7,6] => [1,2,4,5,8,3,7,6] => [1,2,7,8,6,3,4,5] => [8,7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,5,4,1,8,6] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,5,4,1,7,6] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,3,8,1,7,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,3,4,1,6,5] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,4,6,3,2,5] => [1,4,6,2,5,3,7,8] => [1,4,2,5,6,3,7,8] => [8,5,7,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,4,7,8,2,5] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,7,4,3,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,7,4,3,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,8,4,3,2,7] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,1,4,3,2,8] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,1,4,3,2,6] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,1,4,3,2,6] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,8,4,3,2,6] => [1,5,7,8,2,6,3,4] => [1,5,2,6,7,3,8,4] => [8,4,7,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,5,1,3,8,6] => [1,3,8,2,4,7,5,6] => [1,8,6,7,5,4,2,3] => [8,1,3,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,6,1,3,2,5] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,4,1,3,2,6] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,4,1,8,2,7] => [1,8,2,7,3,5,6,4] => [1,8,4,7,6,5,3,2] => [8,1,5,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,5,1,3,8,7] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,1,4,3,2,8] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,8,7] => [9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,9,7,6,8] => [9,8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,4,7,5,8,9,6] => [1,2,3,4,7,5,8,9,6] => [1,2,3,4,9,6,5,7,8] => [9,8,7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,3,6,4,7,8,9,5] => [1,2,3,6,4,7,8,9,5] => [1,2,3,9,5,4,6,7,8] => [9,8,7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,2,5,3,6,7,8,9,4] => [1,2,5,3,6,7,8,9,4] => [1,2,9,4,3,5,6,7,8] => [9,8,1,6,7,5,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,4,2,5,6,7,8,9,3] => [1,4,2,5,6,7,8,9,3] => [1,9,3,2,4,5,6,7,8] => [9,1,7,8,6,5,4,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[6,7,8,9,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[8,9,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[8,9,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[7,8,9,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[8,9,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [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]
[9,10,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,9,10,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,8,9,10,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,10,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,6,7,8,9,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,10,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,8,9,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,10,5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[8,9,10,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,10,7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,7,8,9,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,10,7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,8,9,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[9,10,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,4,6,2,7,1,5,8] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,5,4,1,7,8] => [1,7,8,2,5,3,6,4] => [1,5,8,4,2,7,6,3] => [8,4,1,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,5,4,1,6,8] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,5,4,7,8,3] => [1,2,5,3,4,7,8,6] => [1,2,5,4,3,8,6,7] => [8,7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,5,1,3,7,6] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,4,1,7,2,8] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,3,7,5,8,2] => [1,4,6,2,3,7,5,8] => [1,4,2,7,5,3,6,8] => [8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,4,1,6,3,8] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,6,2,8,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,7,5,4] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,4,3,8,6,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,4,3,6,7,2] => [1,5,8,2,3,6,7,4] => [1,6,7,8,4,2,5,3] => [8,3,2,1,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,4,1,6,7,3,8] => [1,6,7,2,5,3,8,4] => [1,5,8,4,2,6,3,7] => [8,4,1,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,2,7,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,7,8,5,3,6] => [1,7,8,2,4,3,6,5] => [1,8,5,4,2,7,6,3] => [8,1,4,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,2,1,8,4,7] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,1,6,4,7,8] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,8,2,1,4,6] => [1,4,6,2,3,7,5,8] => [1,4,2,7,5,3,6,8] => [8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,8,5,1,6,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,3,2,1,7,5] => [1,7,2,3,4,6,5,8] => [1,6,7,5,4,3,2,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,3,2,1,7,5] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,4,3,2,1,8,5] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,3,2,1,6,5] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,2,1,8,6,3] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,3,2,6,1,4] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,2,1,6,8,4] => [1,6,8,2,3,4,5,7] => [1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,2,1,6,4,8] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,2,5,1,8,4] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,3,5,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,7,8,6,3,4] => [1,5,7,8,2,3,4,6] => [1,5,2,8,6,3,7,4] => [8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,7,2,8,1,4,5] => [1,4,5,2,8,3,6,7] => [1,4,2,8,7,6,3,5] => [8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,2,8,1,4,5] => [1,4,5,2,8,3,7,6] => [1,4,2,7,8,6,3,5] => [8,5,7,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,2,1,8,4,6] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,7,8,3,6,5] => [1,7,8,2,4,3,6,5] => [1,8,5,4,2,7,6,3] => [8,1,4,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,2,8,6,1,4,5] => [1,4,5,2,8,3,7,6] => [1,4,2,7,8,6,3,5] => [8,5,7,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,8,2,1,7,4,5] => [1,7,2,3,6,8,4,5] => [1,7,4,3,2,8,5,6] => [8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,2,1,5,6,8] => [1,5,6,8,2,3,4,7] => [1,5,2,6,3,8,7,4] => [8,4,7,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,2,8,6,1,4,5] => [1,4,5,2,8,3,6,7] => [1,4,2,8,7,6,3,5] => [8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,1,4,6,8,7] => [1,4,6,8,2,3,5,7] => [1,6,3,8,7,5,2,4] => [8,3,6,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,5,4,3,2,1,9] => [1,9,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,8,9,7,6,5,4,3,2] => [1,8,9,2,3,4,5,6,7] => [1,8,6,4,2,9,7,5,3] => [9,2,4,6,8,1,3,5,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,9,7,6,5,4,3,2,1,10] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,6,8,5,4,3,2,1,9] => [1,9,2,3,4,5,6,8,7] => [1,8,9,7,6,5,4,3,2] => [9,2,1,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[6,8,7,5,4,3,2,1,9] => [1,9,2,3,4,5,6,8,7] => [1,8,9,7,6,5,4,3,2] => [9,2,1,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,8,7,9,6,5,4,3,2] => [1,8,2,3,4,5,6,7,9] => [1,8,7,6,5,4,3,2,9] => [9,2,3,4,5,6,7,8,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[7,8,3,5,4,6,1,2] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,7,5,2,4,1] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,6,3,2,8,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,6,2,3,8,7] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,6,2,8,3,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,6,2,8,4,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,5,1,8,3,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,5,1,8,4,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,5,1,4,8,7] => [1,4,8,2,3,6,5,7] => [1,4,2,6,8,7,5,3] => [8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,4,1,5,8,7] => [1,5,8,2,3,6,4,7] => [1,6,8,7,4,2,5,3] => [8,3,1,2,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,1,5,4,8,7] => [1,5,2,3,6,4,8,7] => [1,6,4,3,2,5,8,7] => [8,3,5,6,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,1,4,8,5,3] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,1,4,8,3,5] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,1,8,4,2,6] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,1,8,6,4,2] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,1,5,8,4,3] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,4,1,8,5,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,6,3,8,5,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,6,3,8,4,5] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,2,8,4,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,1,8,6,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,7,6,1,5] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,5,7,1,6] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,5,8,7,2,1] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,5,8,7,3,6] => [1,4,5,8,2,3,6,7] => [1,8,7,6,3,5,2,4] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,5,8,7,1,2] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,4,8,1,6,2] => [1,6,2,3,5,4,8,7] => [1,5,6,4,3,2,8,7] => [8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,7,5,6,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,7,5,1,6] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,5,4,8,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,6,8,4,1,2] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,6,8,1,2,4] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,5,8,7,2,3] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,5,8,7,3,2] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,6,3,8,2,4] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,5,8,3,2,7] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,5,8,2,3,6] => [1,5,8,2,3,6,4,7] => [1,6,8,7,4,2,5,3] => [8,3,1,2,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,7,8,2,4,1] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,6,7] => [8,7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,4,5,8,3,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,1,8,4,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,5,8,6,3,7] => [1,4,5,8,2,3,7,6] => [1,7,8,6,3,5,2,4] => [8,2,1,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,4,8,6,2,1] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,7,1,6,5] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,3,5,8,2,1,6] => [1,6,2,3,5,8,4,7] => [1,5,8,7,4,3,2,6] => [8,4,1,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,5,8,3,7,6] => [1,4,5,8,2,3,7,6] => [1,7,8,6,3,5,2,4] => [8,2,1,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,4,8,2,1,7] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,1,6,5,7] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,4,8,1,5,7,6] => [1,5,7,2,3,4,8,6] => [1,8,6,4,2,5,3,7] => [8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,2,5,3,4] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,7,2,5,3,4] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,7,2,6,3,4] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,7,1,5,3,4] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,7,1,6,3,4] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,7,5,6,3,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,2,7,5,6,3,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,7,4,6,3,5] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,7,2,6,3,5] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,7,5,6,2,3] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,7,5,6,2,4] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,7,4,6,2,5] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,7,4,6,2,5] => [1,8,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,7,2,6,4,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,7,1,6,4,5] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,7,4,6,1,5] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,7,5,6,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,7,5,6,1,2] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,7,5,6,1,4] => [1,4,2,8,3,7,5,6] => [1,8,6,7,5,3,2,4] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,7,4,6,1,5] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,7,1,6,4,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,7,3,6,4,5] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,2,8,6,4,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,8,6,2,3,4] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,8,6,1,5,2,3] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,4,5,2,6,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,4,2,5,3] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,4,2,8,5,3] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,7,3,8,5,2,4] => [1,6,7,2,4,3,8,5] => [1,8,5,4,2,6,3,7] => [8,1,4,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,3,5,6,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,8,6,1,3,5] => [1,3,5,2,8,4,6,7] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,8,4,2,5,6] => [1,8,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,3,4,6,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,7,8,2,6,3,4] => [1,5,7,8,2,6,3,4] => [1,5,2,6,7,3,8,4] => [8,4,7,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,3,8,5,7,4,1] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,8,5,3,1,7] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,4,8,5,2,7] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,7,8,5,4,1] => [1,2,6,3,7,8,4,5] => [1,2,8,5,7,4,3,6] => [8,7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,7,8,4,5,1] => [1,2,6,3,7,8,4,5] => [1,2,8,5,7,4,3,6] => [8,7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,3,6,8,5,1] => [1,2,4,7,3,6,8,5] => [1,2,6,8,5,3,4,7] => [8,7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,7,8,1,6,4] => [1,6,2,5,3,7,8,4] => [1,8,4,5,3,2,6,7] => [8,1,5,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,4,8,2,6,7] => [1,4,8,2,6,7,3,5] => [1,4,2,8,5,6,7,3] => [8,5,7,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,3,8,4,6,7,1] => [1,2,3,8,4,6,7,5] => [1,2,3,6,7,8,5,4] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,3,6,1,7,5] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,3,5,7,1,6] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,8,1,2,7,6] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,8,1,3,7,5] => [1,3,7,2,8,4,5,6] => [1,8,6,4,2,3,7,5] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,2,5,1,7,4] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,3,6,2,7,4] => [1,3,6,2,7,4,5,8] => [1,6,4,2,3,7,5,8] => [8,3,5,7,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,4,2,6,3,7] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,1,2,7,6,3] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,2,8,7,3,4] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,1,4,2,8,7] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,4,1,7,3,8] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,1,7,2,6,3,8] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,1,8,6,2,4] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,7,5,1,8,4] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,2,8,1,5,7] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,2,6,8,1,7,4] => [1,7,2,6,8,3,5,4] => [1,8,4,6,3,2,7,5] => [8,1,5,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,6,1,3,8,7] => [1,3,8,2,5,6,4,7] => [1,5,6,8,7,4,2,3] => [8,4,3,1,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,8,4,7,2,1] => [1,2,3,6,8,4,7,5] => [1,2,3,6,4,7,8,5] => [8,7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,5,7,3,6,1] => [1,2,5,7,3,6,4,8] => [1,2,5,3,6,7,4,8] => [8,7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,6,8,4,3,7,1] => [1,2,6,8,3,7,4,5] => [1,2,8,5,3,6,7,4] => [8,7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,5,4,8,2,7] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,8,4,3,2,7] => [1,6,8,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,7,6,3,2,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,1,8,4,3,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,5,4,3,8,6] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,5,4,3,7,6] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,7,3,2,6] => [1,5,7,2,6,3,4,8] => [1,7,4,2,5,6,3,8] => [8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,7,1,3,2,4] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,1,7,3,2,5] => [1,7,2,5,3,4,6,8] => [1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,5,1,3,2,4] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,8,2,3,4,1] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,2,8,4,3,6,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,2,4,3,5,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,2,8,3,5,1] => [1,2,8,3,5,4,7,6] => [1,2,5,7,8,6,4,3] => [8,7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,2,4,7,5,1] => [1,2,4,7,3,6,5,8] => [1,2,6,7,5,3,4,8] => [8,7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,2,4,8,5,1] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,4,6,2,1] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,1,4,3,6,5] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,1,4,6,2,5] => [1,4,6,2,5,3,7,8] => [1,4,2,5,6,3,7,8] => [8,5,7,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,3,2,5,4,1] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,5,1,6,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,5,1,3,6,4] => [1,3,6,2,5,4,7,8] => [1,5,6,4,2,3,7,8] => [8,4,3,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,5,7,1,2,3] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,8,4,1,2,3] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,5,8,1,2,3] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,6,5,7] => [8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,5,1,8,2,4] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,4,5,6,7,9] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[9,1,2,3,4,5,6,7,8,10] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,8,1,2,3,4,5,6,9] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,8,7] => [9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,8,9,2,3,4,5,6,7] => [1,8,9,2,3,4,5,6,7] => [1,8,6,4,2,9,7,5,3] => [9,2,4,6,8,1,3,5,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[10,1,2,3,4,5,6,7,8,9,11] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [11,10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[8,9,1,2,3,4,5,6,7,10] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,9,8] => [10,9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,1,8,2,3,4,5,6,9] => [1,8,2,3,4,5,6,9,7] => [1,9,7,6,5,4,3,2,8] => [9,1,3,4,5,6,7,8,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => [1,11,10,9,8,7,6,5,4,3,2] => [11,1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[3,6,4,8,7,5,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,4,3,8,7,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,4,8,1,5,7] => [1,5,7,2,4,8,3,6] => [1,5,4,2,7,3,8,6] => [8,4,5,7,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,2,8,1,6,5] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,7,2,5,8,6,3] => [1,4,7,2,5,8,3,6] => [1,4,2,5,7,3,8,6] => [8,5,7,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,4,5,6,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,6,4,8,7,1,2] => [1,2,3,5,6,4,8,7] => [1,2,3,6,4,5,8,7] => [8,7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,3,4,7,1,2] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,5,4,2,8,7,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,2,7,3,6,4] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,5,1,8,6,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,4,8,2,5,7] => [1,3,6,2,5,7,4,8] => [1,5,7,4,2,3,6,8] => [8,4,2,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,5,3,2,6,8] => [1,7,2,6,8,3,4,5] => [1,7,4,6,3,2,8,5] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,3,4,2,8,7] => [1,3,4,2,8,5,6,7] => [1,4,2,3,8,7,6,5] => [8,5,7,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,5,3,1,7,2,6] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,6,1,4,2,7] => [1,4,2,7,3,6,5,8] => [1,6,7,5,3,2,4,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,2,5,8,3,7] => [1,4,6,2,5,8,3,7] => [1,4,2,5,8,7,3,6] => [8,5,7,4,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,7,4,2,3,5] => [1,6,8,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,3,4,2,5] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,4,5,6,8,3] => [1,4,5,6,8,2,3,7] => [1,6,2,4,8,7,3,5] => [8,3,7,5,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,3,6,5,7,4] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,2,7,5,8,4] => [1,3,2,7,4,5,8,6] => [1,3,2,8,6,5,4,7] => [8,6,7,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,8,5,7,2,4] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,5,8,1,4,2,3] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,7,3,2,1,4] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,3,7,2,8,5] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,4,5,2,8,6] => [1,3,4,5,2,8,6,7] => [1,5,2,3,4,8,7,6] => [8,4,7,6,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,3,8,2,7,5] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,7,4,3,1,6] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,1,2,6,4] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,8,2,1,7,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,4,1,2,3,6] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,4,6,3,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,5,3,8,1,7] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,4,2,3,1,7] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,4,3,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,2,8,5,7,3] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,5,8,2,1,4,3] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,5,7,6,2,4] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,8,5,7,1,2,4] => [1,2,4,3,8,5,7,6] => [1,2,4,3,7,8,6,5] => [8,7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,6,2,7,3,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,5,7,1,2,4] => [1,2,4,3,8,5,7,6] => [1,2,4,3,7,8,6,5] => [8,7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,6,8,4,2,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,8,5,7,6,1,4] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,6,1,7,3,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,6,5,7,3,4] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,6,7,8,5] => [1,3,6,7,8,2,4,5] => [1,6,2,3,7,4,8,5] => [8,3,7,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,5,4,1,8,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,5,4,7,8,2] => [1,3,5,2,4,7,8,6] => [1,5,4,2,3,8,6,7] => [8,4,5,7,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,2,4,1,8,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,2,6,3,7,1,4] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,6,7,8,5] => [1,2,6,7,8,3,4,5] => [1,2,6,3,7,4,8,5] => [8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,5,7,3,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,6,3,7,2,4] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,6,3,7,2,4] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,4,2,8,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,1,4,2,8,3] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,2,6,5,8,3] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,3,5,6,8,2] => [1,7,2,3,5,6,8,4] => [1,5,6,8,4,3,2,7] => [8,4,3,1,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,1,5,6,8,3] => [1,5,6,8,2,7,3,4] => [1,5,2,7,3,6,8,4] => [8,4,7,2,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,4,1,2,8,3] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,4,5,2,8,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,6,5,7,2,4] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,6,5,7,2,4] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,4,1,6,2,3] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,4,3,7,8,2] => [1,5,2,3,7,8,4,6] => [1,7,4,3,2,5,8,6] => [8,2,5,6,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,6,4,2,1,8,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,2,5,1,8,3] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,4,5,7,8,2] => [1,3,4,5,7,8,2,6] => [1,7,2,3,4,5,8,6] => [8,2,7,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,4,5,1,8,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,6,5,7,1,4] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,3,6,8,1,2] => [1,2,3,6,8,4,7,5] => [1,2,3,6,4,7,8,5] => [8,7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,8,5,6,1,2] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,7,2,5,1,6,8] => [1,6,8,2,5,3,4,7] => [1,5,8,7,4,2,6,3] => [8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,7,2,5,8,3,6] => [1,4,7,2,5,8,3,6] => [1,4,2,5,7,3,8,6] => [8,5,7,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,4,5,7,1,2] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,7,5,8,1,2] => [1,2,3,6,7,4,5,8] => [1,2,3,6,4,7,5,8] => [8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,5,8,4,1,2] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,6,4,5,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,6,5,1,4,8] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,6,5,8,3,4] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,6,1,5,3,7] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,8,6,4,1,5,7] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,2,5,1,8,7] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,5,1,4,6] => [1,4,6,2,5,3,7,8] => [1,4,2,5,6,3,7,8] => [8,5,7,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,2,5,6,3,4] => [1,2,5,6,3,4,7,8] => [1,2,5,3,6,4,7,8] => [8,7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,6,2,5,7,3,8] => [1,6,2,5,7,3,8,4] => [1,6,3,2,8,4,5,7] => [8,3,6,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,5,8,7,3,4] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,6,4,7,3,5] => [1,8,2,3,5,4,7,6] => [1,5,7,8,6,4,3,2] => [8,4,2,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,6,8,4,2,5] => [1,3,6,8,2,5,4,7] => [1,6,5,2,3,8,7,4] => [8,3,4,7,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,3,6,7,4,5,2] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,7,2,3,6,4] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,7,4,2,8,3] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,5,1,8,3,6] => [1,8,2,4,7,3,6,5] => [1,4,8,5,7,6,3,2] => [8,5,1,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,1,4,2,3,8] => [1,4,2,3,8,5,7,6] => [1,4,3,2,7,8,6,5] => [8,5,6,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,8,1,3,2,4,7] => [1,3,2,4,7,5,6,8] => [1,3,2,4,7,6,5,8] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,5,1,3,4,2,7] => [1,3,4,2,7,5,6,8] => [1,4,2,3,7,6,5,8] => [8,5,7,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,3,4,5,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,3,1,5,7,8] => [1,5,7,8,2,4,3,6] => [1,5,2,7,3,8,6,4] => [8,4,7,2,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,3,1,7,5,6] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,4,1,6,2,8] => [1,6,2,8,3,7,4,5] => [1,8,5,3,2,6,7,4] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,7,3,6,1,8,5] => [1,8,2,4,7,3,6,5] => [1,4,8,5,7,6,3,2] => [8,5,1,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,8,5,4,3,6] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,2,8,4,5,7] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,6,5,8,7] => [1,3,6,2,4,5,8,7] => [1,6,5,4,2,3,8,7] => [8,3,4,5,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,4,5,6,3,7] => [1,4,5,6,2,8,3,7] => [1,8,7,3,5,2,4,6] => [8,1,2,6,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,5,4,6,3,8] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,1,4,5,3,6] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,1,5,8,7,2] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,6,4,3,8,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,6,3,4,7,2] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,8,2,7,4,3] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,5,2,3,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,1,8,5,3,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,1,7,4,8,3] => [1,7,2,5,6,3,4,8] => [1,7,4,5,6,3,2,8] => [8,2,5,4,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,8,5,3,4,2] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,6,5,4,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,5,7,3,4,8,1] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,4,7,5,8,2,3] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,6,2,7,4,1] => [1,2,7,3,6,4,5,8] => [1,2,7,5,6,4,3,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,7,4,6,8,2,5] => [1,3,7,2,5,4,6,8] => [1,5,7,6,4,2,3,8] => [8,4,2,3,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,5,6,3,2,8,1] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,6,5,7,2,4,3] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,6,8,3,4,5] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,5,6,8,3,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,7,6,8,2,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,4,2,7,5,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,5,2,4,6,3,1] => [1,2,4,6,3,5,7,8] => [1,2,6,5,3,4,7,8] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,3,7,4,5,1] => [1,2,8,3,7,4,5,6] => [1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,2,4,5,3] => [1,6,2,4,5,3,7,8] => [1,4,5,6,3,2,7,8] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,1,7,2,6,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,1,8,3,2,6] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,1,4,8,3,2,5] => [1,4,8,2,5,3,6,7] => [1,4,2,5,8,7,6,3] => [8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,8,4,5,3,6] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,2,1,8,5,3,6] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,3,1,5,8,2,7] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,8,4,5,2,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,8,5,3,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,8,5,4,2,3] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,6,7,5,2,3] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,6,7,3,5,1] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,5,4,6,2,1] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,5,6,7,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,3,8,6,7,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,2,8,7,3,6,1] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,5,8,7,3,4,1] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,7,5,6,2,4] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,7,4,6,3,5] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,8,5,7,6,2,4] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,5,8,7,4,2,3] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,8,7,6,2,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,6,7,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,5,6,3,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,6,3,5,8,7] => [1,6,2,3,5,8,4,7] => [1,5,8,7,4,3,2,6] => [8,4,1,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,4,3,5,8,7] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,4,3,8,5,7] => [1,4,2,3,8,5,7,6] => [1,4,3,2,7,8,6,5] => [8,5,6,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,4,3,6,5,7] => [1,4,2,3,6,5,7,8] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,1,3,6,5,7] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,3,8,5,7] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,1,3,5,8,7] => [1,3,5,8,2,6,4,7] => [1,5,2,3,6,8,7,4] => [8,4,7,6,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,4,3,5,8,7] => [1,6,2,3,5,8,4,7] => [1,5,8,7,4,3,2,6] => [8,4,1,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,4,3,5,8,7] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,4,1,3,5,8,7] => [1,3,5,8,2,6,4,7] => [1,5,2,3,6,8,7,4] => [8,4,7,6,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,1,3,6,5,7] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,2,1,6,3,5,7] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,8,3,5,7] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,8,3,5,7] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,1,4,3,8,5,7] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,4,3,8,5,7] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,4,3,6,5,7] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,4,3,6,5,7] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,1,3,6,5,7] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,1,6,3,5,7] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,1,4,3,5,7] => [1,4,2,3,5,7,6,8] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,1,4,3,5,7] => [1,4,2,3,5,7,6,8] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,4,6,3,5,7] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,4,8,3,5,7] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,8,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,5,2,3,7,4,8,6] => [8,4,7,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,1,3,8,5,7] => [1,3,8,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,8,3,5,7] => [1,8,2,4,3,5,7,6] => [1,4,7,8,6,5,3,2] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,1,6,3,5,7] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,4,6,3,5,7] => [1,4,6,2,3,5,7,8] => [1,4,2,6,5,3,7,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,4,8,3,5,7] => [1,4,8,2,3,5,7,6] => [1,4,2,7,8,6,5,3] => [8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,6,8,3,5,7] => [1,6,8,2,3,5,7,4] => [1,7,8,4,2,6,5,3] => [8,2,1,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,6,3,8,5,7] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,3,8,6,5,7] => [1,4,2,3,8,5,7,6] => [1,4,3,2,7,8,6,5] => [8,5,6,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,3,8,6,5,7] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,3,8,6,5,7] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,8,3,6,5,7] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,8,6,3,5,7] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,8,4,3,5,7] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,6,4,3,5,7] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,1,4,3,5,7] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,1,3,6,5,7] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,1,8,3,6,5,7] => [1,8,2,4,3,6,5,7] => [1,4,6,8,7,5,3,2] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,8,3,6,5,7] => [1,4,8,2,3,6,5,7] => [1,4,2,6,8,7,5,3] => [8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,4,8,6,3,5,7] => [1,4,8,2,3,5,7,6] => [1,4,2,7,8,6,5,3] => [8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,1,6,3,5,7] => [1,6,2,4,8,3,5,7] => [1,4,6,3,2,8,7,5] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,6,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,5,2,3,7,4,8,6] => [8,4,7,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,4,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,5,2,3,7,4,8,6] => [8,4,7,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,4,1,3,5,7] => [1,3,5,7,2,6,8,4] => [1,5,2,3,6,8,4,7] => [8,4,7,6,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,1,4,3,5,7] => [1,4,2,6,8,3,5,7] => [1,6,3,2,4,8,7,5] => [8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,8,4,3,5,7] => [1,6,8,2,3,5,7,4] => [1,7,8,4,2,6,5,3] => [8,2,1,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,6,4,3,5,7] => [1,8,2,3,5,7,4,6] => [1,5,8,6,7,4,3,2] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,6,4,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,5,2,3,7,4,8,6] => [8,4,7,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,5,3,8,7] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,5,2,8,1,7,6] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,2,6,1,7,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,1,7,2,6,5] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,1,5,2,7,6] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,3,4,2,7,6] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,1,3,2,7,6] => [1,3,2,7,4,8,5,6] => [1,3,2,7,5,4,8,6] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,4,8,3,7,6] => [1,5,2,3,7,4,8,6] => [1,8,6,4,3,2,5,7] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,6,8,3,4,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,6,8,1,5,2] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,1,8,5,6,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,4,7,2,8,1] => [1,2,8,3,5,4,7,6] => [1,2,5,7,8,6,4,3] => [8,7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,4,8,1,7,2] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,6,3,8,4,5,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,4,6,3,7,5] => [1,8,2,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,6,1,3,2,7,5] => [1,3,2,7,4,6,5,8] => [1,3,2,6,7,5,4,8] => [8,6,7,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,1,5,3,6,4] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,6,8,1,5,4] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,7,1,8,5,6,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,2,4,3,8,1] => [1,2,4,3,8,5,7,6] => [1,2,4,3,7,8,6,5] => [8,7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,2,4,1,7,3] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,4,1,8,5,6,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,2,4,1,5,3] => [1,5,2,4,3,6,8,7] => [1,4,5,3,2,6,8,7] => [8,5,4,6,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,8,1,5,2,4,3] => [1,5,2,4,3,6,8,7] => [1,4,5,3,2,6,8,7] => [8,5,4,6,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,3,8,5,6,4] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,2,8,5,6,4] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,5,6,2,4,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,2,6,4,5,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,1,5,4,6,3] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,7,4,5,3,8,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,7,2,6,3,8,1] => [1,2,6,3,8,4,7,5] => [1,2,6,4,3,7,8,5] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,8,2,6,1,7,3] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,8,1,7,2,4,3] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,7,1,8,3,4,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,4,8,3,5,2] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,3,8,1,7,2] => [1,7,2,3,8,4,6,5] => [1,7,6,4,3,2,8,5] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,8,9,10,5,4,3,2,1,12,11] => [1,12,2,3,4,5,6,7,8,9,10,11] => [1,12,11,10,9,8,7,6,5,4,3,2] => [12,1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[7,8,9,10,11,12,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => [12,11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[2,8,3,1,5,4,6,7] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,3,5,7,6,1] => [1,2,4,8,3,5,7,6] => [1,2,7,8,6,5,3,4] => [8,7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,5,3,1,8,6,7] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,8,5,3,6,7] => [1,8,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,3,8,2,6,7] => [1,3,8,2,6,7,4,5] => [1,8,5,6,7,4,2,3] => [8,1,4,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,8,3,2,6,7] => [1,4,8,2,6,7,3,5] => [1,4,2,8,5,6,7,3] => [8,5,7,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,4,3,2,6,7] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,4,3,8,5,2,6] => [1,7,2,6,3,8,4,5] => [1,8,5,3,2,7,4,6] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,7,8,3,2,6] => [1,4,7,8,2,6,3,5] => [1,6,7,3,8,5,2,4] => [8,3,2,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,5,3,7,4,6,2] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,4,7,6,5,2,1] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,8,5,3,7,4,2] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,4,3,5,2] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,1,7,3,5,2] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,8,7,1,5,2,3] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,5,6,3,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,7,8,5,3,6] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,4,6,3,1,8,5] => [1,8,2,7,3,4,6,5] => [1,7,6,4,8,5,3,2] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,8,4,3,7,5,1] => [1,2,6,8,3,7,4,5] => [1,2,8,5,3,6,7,4] => [8,7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,8,3,7,5,1] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,6,3,4,1,8,5] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,3,1,4,8,5] => [1,4,8,2,6,7,3,5] => [1,4,2,8,5,6,7,3] => [8,5,7,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,3,5,8,4,6] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,3,6,2,4,5] => [1,3,6,2,4,5,7,8] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,1,7,3,5,6,4] => [1,7,2,3,5,6,4,8] => [1,5,6,7,4,3,2,8] => [8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,6,3,5,4,1] => [1,2,6,3,5,4,7,8] => [1,2,5,6,4,3,7,8] => [8,7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,7,4,5,6,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,1,2,7,5,3,4] => [1,2,7,3,4,5,6,8] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,2,6,7,4,3] => [1,8,2,6,7,3,4,5] => [1,8,5,7,4,6,3,2] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,8,6,7,4,3] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,5,7,6,4,3,1] => [1,2,8,3,4,5,7,6] => [1,2,7,8,6,5,4,3] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,6,4,2,5,3] => [1,6,2,5,3,4,7,8] => [1,6,4,5,3,2,7,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,6,1,5,3,2,4] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,8,6,1,5,2,4] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,6,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,6,4,5,3,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,7,5,6,4,3,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,7,5,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,2,1,4,8,7] => [1,4,8,2,3,5,6,7] => [1,4,2,8,7,6,5,3] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,3,6,1,2,8,7] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,5,7,2,1,6] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,6,3,8,2,1] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,6,3,7,1,5] => [1,5,2,8,3,7,4,6] => [1,5,3,2,8,6,7,4] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,4,7,5,1,2,6] => [1,2,6,3,4,7,5,8] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,4,7,3,2,6] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,1,4,2,6] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,8,5,7,4,3,6] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,7,1,8,4,2] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,4,7,8,3,2] => [1,4,7,8,2,3,5,6] => [1,8,6,3,7,5,2,4] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,7,5,8,1,2] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,6,5,7] => [8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,6,8,3,7,2] => [1,4,6,8,2,3,7,5] => [1,6,3,7,8,5,2,4] => [8,3,6,2,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,3,5,8,6,2] => [1,3,5,8,2,4,7,6] => [1,5,2,3,7,8,6,4] => [8,4,7,6,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,3,7,1,2,6,5] => [1,2,6,3,7,4,8,5] => [1,2,6,4,3,8,5,7] => [8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,4,1,7,2,5] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,1,2,5,7,6,4] => [1,2,5,7,3,8,4,6] => [1,2,5,3,7,4,8,6] => [8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,5,4,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,6,4,1,3,5] => [1,3,5,2,6,4,7,8] => [1,6,4,2,3,5,7,8] => [8,3,5,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,7,4,2,1,5] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,8,4,2,3,1] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,8,2,4,6,1] => [1,2,4,6,3,7,8,5] => [1,2,8,5,3,4,6,7] => [8,7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,6,2,1,4,7,5] => [1,4,7,2,3,6,5,8] => [1,4,2,6,7,5,3,8] => [8,5,7,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,7,6,2,1,8,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,2,8,7,1,4] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,8,6,4,2,1,3] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,6,7] => [8,6,7,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,7,5,4,8,1,3] => [1,3,2,6,7,4,8,5] => [1,3,2,6,4,8,5,7] => [8,6,7,3,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,7,4,5,8,2,3] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,5,1,8,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,7,5,8,3,4] => [1,6,7,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,6,1,2,8,4] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,2,1,8,7,5,3] => [1,8,2,3,4,6,5,7] => [1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,2,7,8,5,1] => [1,2,7,8,3,4,6,5] => [1,2,8,5,3,7,6,4] => [8,7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,1,2,5,8,7,3] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,4,8,2,7,3] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,1,8,7,2,4] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,1,5,7,8,2] => [1,5,7,8,2,3,4,6] => [1,5,2,8,6,3,7,4] => [8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,7,1,6,5,4] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,7,6,1,5,4] => [1,5,2,7,3,8,4,6] => [1,5,3,2,7,4,8,6] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,2,7,6,5,4,1] => [1,2,7,3,8,4,5,6] => [1,2,8,6,4,3,7,5] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,2,6,5,3,1] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,2,1,6,5,3] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,3,1,6,5,2] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,3,2,1,6,5] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,3,2,6,5,1] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,3,6,2,1,5] => [1,5,2,3,6,4,8,7] => [1,6,4,3,2,5,8,7] => [8,3,5,6,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,3,6,1,5,2] => [1,5,2,3,6,4,8,7] => [1,6,4,3,2,5,8,7] => [8,3,5,6,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,3,6,5,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,3,6,5,2,1] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,3,4,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,3,1,4,2] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,2,1,4,3] => [1,4,2,3,5,8,6,7] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,4,2,3,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,6,4,3,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,4,2,1,6,5,8] => [1,6,2,3,4,5,8,7] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,5,2,6,4,1,8] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,1,5,6,4,3,8] => [1,5,6,2,3,8,4,7] => [1,8,7,4,2,5,3,6] => [8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,5,6,1,3,2,8] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,7,3,1,8,2] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,7,1,3,8,2] => [1,3,8,2,4,5,7,6] => [1,7,8,6,5,4,2,3] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,5,1,7,4,8,2] => [1,7,2,3,5,4,8,6] => [1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,5,7,4,8,3] => [1,5,7,2,3,4,8,6] => [1,8,6,4,2,5,3,7] => [8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,5,7,4,8,6] => [1,5,7,2,3,4,8,6] => [1,8,6,4,2,5,3,7] => [8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,7,3,8,5,2] => [1,4,6,7,2,3,8,5] => [1,6,3,8,5,2,4,7] => [8,3,6,1,4,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,7,8,3,4,2] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,7,8,3,1,4] => [1,4,2,5,6,7,8,3] => [1,8,3,2,4,5,6,7] => [8,1,6,7,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,1,6,7,8,4,5] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,1,6,7,8,4,3] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,7,8,4,2] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,7,1,8,3,2] => [1,8,2,3,4,6,7,5] => [1,6,7,8,5,4,3,2] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,7,8,3,2,4] => [1,5,6,7,8,2,4,3] => [1,7,4,8,3,6,2,5] => [8,2,5,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,5,7,2,1,8,3] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,6,7,2,8,3,1] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,2,7,8,4,1] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,2,7,8,1,4] => [1,4,2,7,8,3,6,5] => [1,7,6,3,2,4,8,5] => [8,2,3,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,4,2,1,7,8,5] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,4,1,2,7,8,6] => [1,2,7,8,3,4,5,6] => [1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,2,7,8,5,1] => [1,2,7,8,3,6,4,5] => [1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,2,7,8,5,4] => [1,3,6,2,7,8,4,5] => [1,8,5,7,4,2,3,6] => [8,1,4,2,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,7,2,8,5,3] => [1,4,6,7,2,8,3,5] => [1,8,5,2,4,7,3,6] => [8,1,4,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,7,2,8,5,1] => [1,2,8,3,4,6,7,5] => [1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,5,7,2,1,8,6] => [1,8,2,3,4,5,7,6] => [1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,5,7,3,8,6] => [1,5,7,2,3,8,4,6] => [1,7,4,2,5,3,8,6] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,6,7,8,3,5] => [1,6,7,8,2,3,5,4] => [1,7,5,2,6,3,8,4] => [8,2,4,7,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,7,8,2,5] => [1,7,8,2,5,3,6,4] => [1,5,8,4,2,7,6,3] => [8,4,1,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,7,8,2,4,3] => [1,5,6,7,8,2,4,3] => [1,7,4,8,3,6,2,5] => [8,2,5,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,6,7,8,4,2,3] => [1,5,6,7,8,2,3,4] => [1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,6,7,1,8,5,2] => [1,8,2,3,4,6,7,5] => [1,6,7,8,5,4,3,2] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,7,8,5,2] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,6,7,8,5,3] => [1,6,7,8,2,3,4,5] => [1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,1,7,8,5,4] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,6,7,8,1,4,3] => [1,4,2,5,6,7,8,3] => [1,8,3,2,4,5,6,7] => [8,1,6,7,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => [9,7,8,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => [10,8,9,6,7,4,5,2,3,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,1,2,3,4,5,6,8,9] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,7,8] => [9,8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,4,3,6,2,5,7,8] => [1,4,2,5,7,8,3,6] => [1,7,3,2,4,5,8,6] => [8,2,6,7,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,7,2,5,6,8] => [1,4,2,5,6,8,3,7] => [1,8,7,3,2,4,5,6] => [8,1,2,6,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,7,6,8,2,5] => [1,4,2,5,3,7,6,8] => [1,5,3,2,4,7,6,8] => [8,4,6,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,7,5,8,2,6] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,3,7,2,6,5,8] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,7,4,8,2,6] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,2,6,5,8,4,7] => [1,3,2,6,4,7,5,8] => [1,3,2,7,5,4,6,8] => [8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,8,2,6,3,7] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,4,8,3,7,2,6] => [1,5,2,6,3,7,4,8] => [1,5,3,2,7,4,6,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,4,5,7,1,3] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,4,5,2,6,1] => [1,2,6,3,7,8,4,5] => [1,2,8,5,7,4,3,6] => [8,7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,4,5,3,6,2] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,4,1,6,5,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,1,6,4,7,2] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,1,4,7,6,3,2] => [1,4,7,2,3,5,8,6] => [1,4,2,8,6,5,3,7] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,8,6,2,4,3] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,1,8,2,6,3,5] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,4,2,6,3,5] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,3,8,5,2,4,7] => [1,3,8,2,4,7,5,6] => [1,8,6,7,5,4,2,3] => [8,1,3,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,3,6,2,5,4] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,8,4,2,6,5] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,4,1,6,5,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,3,6,5,1,4] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,2,3,6,5,4] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,8,3,5,4,7] => [1,2,8,3,5,4,7,6] => [1,2,5,7,8,6,4,3] => [8,7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,2,3,8,4,7,6] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,8,4,7,6] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,4,1,8,7,3,5] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,4,2,8,5,7] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,4,2,8,5,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,6,3,8,7,1,5,4] => [1,5,2,6,3,8,4,7] => [1,5,3,2,8,7,4,6] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,3,8,4,7,6] => [1,3,8,2,5,4,7,6] => [1,5,7,8,6,4,2,3] => [8,4,2,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,5,3,8,4,7,6] => [1,2,5,3,8,4,7,6] => [1,2,7,8,6,4,3,5] => [8,7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,4,8,3,7,6,5] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,3,7,1,6,5] => [1,6,2,4,8,3,7,5] => [1,4,6,3,2,7,8,5] => [8,5,3,6,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,3,8,1,7,4,6] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,4,8,2,7,6] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,2,3,7,6,1,5] => [1,5,2,3,7,4,8,6] => [1,8,6,4,3,2,5,7] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,3,7,2,6,5] => [1,4,8,2,6,3,7,5] => [1,4,2,7,8,5,6,3] => [8,5,7,2,1,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,8,2,4,7,6] => [1,3,8,2,4,7,5,6] => [1,8,6,7,5,4,2,3] => [8,1,3,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,4,8,2,7,6,3] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,1,2,8,7,4,3] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,1,6,4,2,8,7] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,8,7,4,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,8,2,7,6,3] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,5,8,7,6,3] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,2,5,8,7,6,3] => [1,4,2,5,8,3,6,7] => [1,8,7,6,3,2,4,5] => [8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,5,2,8,7,4,6] => [1,3,5,2,8,4,6,7] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,2,8,7,4,6] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,2,8,7,5,1,4] => [1,4,2,8,3,6,5,7] => [1,6,8,7,5,3,2,4] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,6,1,8,7,3,5] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,5,8,2,7,6] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,7,1,2,6,5] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,1,7,2,6,5] => [1,7,2,6,3,4,8,5] => [1,6,4,8,5,3,2,7] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,8,7,2,6,5] => [1,3,4,8,2,6,5,7] => [1,6,8,7,5,2,3,4] => [8,3,1,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,8,2,7,6,5] => [1,3,4,8,2,7,5,6] => [1,8,6,7,5,2,3,4] => [8,1,3,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,2,7,1,6,5] => [1,6,2,7,3,4,8,5] => [1,8,5,3,2,6,4,7] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,1,2,5,8,7,6] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,2,5,8,7,6] => [1,4,2,5,8,3,6,7] => [1,8,7,6,3,2,4,5] => [8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,5,1,8,7,6,4] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,1,2,7,3,5,8] => [1,2,7,3,5,8,4,6] => [1,2,5,7,4,3,8,6] => [8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,7,5,4,1,8,6] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,5,4,1,6,2] => [1,6,2,3,5,4,7,8] => [1,5,6,4,3,2,7,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,5,4,1,3,6] => [1,3,6,2,5,4,7,8] => [1,5,6,4,2,3,7,8] => [8,4,3,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,2,5,4,6,1,3] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,1,5,4,7,3,8] => [1,5,2,3,8,4,7,6] => [1,7,8,6,4,3,2,5] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,1,4,7,8,2] => [1,4,7,8,2,3,6,5] => [1,7,6,3,8,5,2,4] => [8,2,3,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,6,2,4,7,1,8] => [1,8,2,4,7,3,6,5] => [1,4,8,5,7,6,3,2] => [8,5,1,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,1,7,3,8,5] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,7,5,8,6,1,2] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,7,1,8,3,6,5] => [1,8,2,7,3,6,4,5] => [1,6,7,4,8,5,3,2] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,6,7,4,8,1,5] => [1,5,2,6,7,3,4,8] => [1,7,4,6,3,2,5,8] => [8,2,5,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,3,8,4,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,2,4,8,3] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,5,3,1,4,8] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,1,4,8,3,5,6] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,6,3,8,4,1,2] => [1,2,3,8,4,5,7,6] => [1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,6,2,4,8,3,7] => [1,6,2,4,8,3,7,5] => [1,4,6,3,2,7,8,5] => [8,5,3,6,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,5,2,1,3,8] => [1,3,8,2,4,7,5,6] => [1,8,6,7,5,4,2,3] => [8,1,3,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,5,1,8,3,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,2,8,3,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,3,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,5,1,2,8,3] => [1,2,8,3,4,7,5,6] => [1,2,8,6,7,5,4,3] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,5,3,1,8,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,3,4,8,7,5] => [1,2,6,3,4,8,5,7] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,4,2,8,3,5,7] => [1,4,2,8,3,5,7,6] => [1,7,8,6,5,3,2,4] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,2,1,5,3,6,8] => [1,5,2,3,6,8,4,7] => [1,8,7,4,3,2,5,6] => [8,1,2,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,2,6,8,3,5,4] => [1,7,2,6,8,3,5,4] => [1,8,4,6,3,2,7,5] => [8,1,5,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,7,4,2,8,5] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,2,5,3,8,6] => [1,2,5,3,8,4,7,6] => [1,2,7,8,6,4,3,5] => [8,7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,5,2,4,1,8] => [1,8,2,4,3,7,5,6] => [1,4,8,6,7,5,3,2] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,5,2,1,8,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,5,8,2,4,3] => [1,7,2,4,3,5,8,6] => [1,4,8,6,5,3,2,7] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,6,5,1,2,4,8] => [1,2,4,8,3,7,5,6] => [1,2,8,6,7,5,3,4] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,6,8,4,2,5,7] => [1,6,8,2,5,7,3,4] => [1,5,8,4,2,6,7,3] => [8,4,1,5,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,6,8,3,5,1,2] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,6,5,8,4,1,3] => [1,3,2,7,4,5,8,6] => [1,3,2,8,6,5,4,7] => [8,6,7,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,1,7,3,5,8,6] => [1,7,2,3,5,8,4,6] => [1,5,7,4,3,2,8,6] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,5,4,2,8,6] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,1,5,2,7,6,3] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,1,3,7,6,4] => [1,3,7,2,5,4,6,8] => [1,5,7,6,4,2,3,8] => [8,4,2,3,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,4,2,1,8,5] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,5,4,1,3,8,6] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,4,3,2,1,8,6] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,2,1,7,6,4] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,8,4,3,7] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,6,3,2,8,1,5,7] => [1,5,7,2,8,3,4,6] => [1,8,6,3,7,4,2,5] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,4,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,7,6,2,4,8,3,5] => [1,7,2,4,8,3,5,6] => [1,4,8,6,3,2,7,5] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,3,6,4,8,1,5] => [1,5,2,7,3,6,4,8] => [1,5,3,2,6,7,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,5,3,6,4,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,2,3,7,5,4] => [1,8,2,3,7,4,5,6] => [1,7,5,8,6,4,3,2] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,6,3,2,7,5,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,1,6,5,4,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,7,4,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,5,7,2,4,6,3] => [1,8,2,4,6,3,5,7] => [1,4,8,7,5,6,3,2] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,6,1,7,2,5,4] => [1,7,2,5,3,8,4,6] => [1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,4,6,7,1,3,2] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,5,6,8] => [8,6,7,5,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,8,5,6,1,4,3] => [1,4,2,8,3,5,6,7] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,5,8,1,4,2,7] => [1,4,2,7,3,6,5,8] => [1,6,7,5,3,2,4,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,7,1,3,6,5] => [1,3,6,2,4,7,5,8] => [1,7,5,4,2,3,6,8] => [8,2,4,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,4,1,6,8,2,3,7] => [1,6,8,2,3,7,4,5] => [1,7,4,2,6,8,5,3] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,2,1,7,8,3,4] => [1,7,8,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,8,4,7,5,2] => [1,8,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,4,2,8,7,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,5,3,8,7,4,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,3,7,6,4,2,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,2,8,1,7,3,6,4] => [1,7,2,8,3,6,4,5] => [1,6,8,5,3,2,7,4] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,7,3,8,1,6,4,2] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,7,8,5,2,4,1] => [1,2,4,3,7,8,5,6] => [1,2,4,3,7,5,8,6] => [8,7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,7,2,1,6,4] => [1,6,2,3,8,4,5,7] => [1,6,4,3,2,8,7,5] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,7,6,1,5,4,2] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,6,2,1,5] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,7,2,6,1,4] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,3,8,6,5,1,2] => [1,2,3,8,4,7,5,6] => [1,2,3,8,6,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,8,6,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,3,6,4,2,1] => [1,2,3,6,4,5,8,7] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,8,7,6,2,5,3,1] => [1,2,5,3,4,8,6,7] => [1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,6,5,1,4,2] => [1,4,2,3,8,5,6,7] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,7,6,5,4,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,6,1,2,3,7,8,9] => [1,2,3,7,8,9,4,5,6] => [1,2,3,7,4,8,5,9,6] => [9,8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[5,6,7,8,1,2,3,4,9] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,8,7,6,5] => [9,8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[5,4,3,2,1,6,7,8,9] => [1,6,7,8,9,2,3,4,5] => [1,6,2,7,3,8,4,9,5] => [9,4,8,3,7,2,6,1,5] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[7,8,5,6,3,4,1,2,9] => [1,2,9,3,4,5,6,7,8] => [1,2,9,8,7,6,5,4,3] => [9,8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[7,6,5,4,3,2,1,8,9] => [1,8,9,2,3,4,5,6,7] => [1,8,6,4,2,9,7,5,3] => [9,2,4,6,8,1,3,5,7] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[8,6,9,4,7,2,5,1,3] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => [9,7,8,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[5,6,3,4,1,2,7,8,9,10] => [1,2,7,8,9,10,3,4,5,6] => [1,2,7,3,8,4,9,5,10,6] => [10,9,4,8,3,7,2,6,1,5] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,8,9,4,5,6,1,2,3,10] => [1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,9,8,7,6,5,4] => [10,9,8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[7,6,5,4,3,2,1,8,9,10] => [1,8,9,10,2,3,4,5,6,7] => [1,8,5,2,9,6,3,10,7,4] => [10,3,6,9,2,5,8,1,4,7] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[3,6,5,1,2,4,8,7] => [1,2,4,8,3,6,5,7] => [1,2,6,8,7,5,3,4] => [8,7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,5,8,2,4,1,6] => [1,6,2,4,3,7,5,8] => [1,4,7,5,3,2,6,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,5,7,2,4,1,6] => [1,6,2,4,3,8,5,7] => [1,4,8,7,5,3,2,6] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,6,4,3,8,7] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,4,6,3,8,7] => [1,2,4,6,3,8,5,7] => [1,2,8,7,5,3,4,6] => [8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,2,6,5,3,8,7] => [1,2,6,3,8,4,5,7] => [1,2,6,4,3,8,7,5] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,5,7,8,3,2,6] => [1,5,7,8,2,6,3,4] => [1,5,2,6,7,3,8,4] => [8,4,7,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,8,3,6,2,5] => [1,8,2,5,3,6,4,7] => [1,6,8,7,4,5,3,2] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,7,8,5,2,3,6] => [1,7,8,2,3,6,4,5] => [1,6,7,4,2,8,5,3] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,7,4,8,2,3,6] => [1,7,2,3,6,4,8,5] => [1,8,5,6,4,3,2,7] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,3,8,1,4,2,6] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,5,8,7,3,4,6] => [1,5,8,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,5,2,3,6] => [1,8,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,7,1,6,3,2,8,5] => [1,6,2,8,3,4,7,5] => [1,7,8,5,3,2,6,4] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,7,5,8,4] => [1,2,3,7,4,5,8,6] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,8,6,5,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,5,8,6,4] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,4,3,7,2,5] => [1,4,2,5,3,7,6,8] => [1,5,3,2,4,7,6,8] => [8,4,6,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,2,4,1,6,5] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,3,2,4,1,6,5] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,6,7,5,4] => [1,2,3,6,7,4,5,8] => [1,2,3,6,4,7,5,8] => [8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,6,8,5,4] => [1,2,3,6,8,4,5,7] => [1,2,3,6,4,8,7,5] => [8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,8,5,6,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,7,5,6,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,3,6,5,7,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,8,5,4,3,2,6] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,7,3,4,1,5] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,2,8,3,4,1,5] => [1,5,2,8,3,4,6,7] => [1,5,3,2,8,7,6,4] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,8,7,1,4,2,6,5] => [1,4,2,6,3,8,5,7] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,7,8,2,4,1,6] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,8,3,1,4,5] => [1,4,5,2,8,3,6,7] => [1,4,2,8,7,6,3,5] => [8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,7,3,1,4,5] => [1,4,5,2,7,3,6,8] => [1,4,2,7,6,3,5,8] => [8,5,7,2,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,3,7,1,4,2,6] => [1,4,2,6,3,7,5,8] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,7,3,4,6,8,5] => [1,7,2,3,4,6,8,5] => [1,6,8,5,4,3,2,7] => [8,3,1,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,7,3,2,4,1,8,5] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,4,3,6,1,5] => [1,5,2,4,3,6,7,8] => [1,4,5,3,2,6,7,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,5,6,8,4] => [1,2,3,5,6,8,4,7] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,8,7,4,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,7,8,6,4] => [1,2,3,7,8,4,5,6] => [1,2,3,8,6,4,7,5] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,8,7,6,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,8,6,7,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,5,8,7,4] => [1,2,3,5,8,4,6,7] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,2,4,3,1,7,5] => [1,7,2,4,3,5,6,8] => [1,4,7,6,5,3,2,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,3,2,4,8,1,5] => [1,5,2,4,8,3,6,7] => [1,4,8,7,6,3,2,5] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,6,3,4,8,7,5] => [1,6,2,3,4,8,5,7] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,3,2,4,7,1,5] => [1,5,2,4,7,3,6,8] => [1,4,7,6,3,2,5,8] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,6,2,4,3,1,8,5] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,1,2,3,5,7,8,4] => [1,2,3,5,7,8,4,6] => [1,2,3,7,4,5,8,6] => [8,7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,2,3,6,8,7,4] => [1,2,3,6,8,4,5,7] => [1,2,3,6,4,8,7,5] => [8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,8,1,2,6,3,5,4] => [1,2,6,3,5,4,7,8] => [1,2,5,6,4,3,7,8] => [8,7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,8,2,7,3,5,6] => [1,4,8,2,7,3,5,6] => [1,4,2,7,5,8,6,3] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,8,5,4,7,3,6] => [1,2,8,3,6,4,7,5] => [1,2,7,8,5,6,4,3] => [8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,8,5,4,2,7,6] => [1,3,8,2,7,4,5,6] => [1,7,5,8,6,4,2,3] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,6,8,4,7,1,5] => [1,5,2,3,6,8,4,7] => [1,8,7,4,3,2,5,6] => [8,1,2,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,6,8,4,7,5,2] => [1,3,6,8,2,4,7,5] => [1,7,8,5,2,3,6,4] => [8,2,1,4,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,5,7,6,1,2] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,8,6,5] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,6,8,4,5,7,3] => [1,2,6,8,3,4,5,7] => [1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,5,1,2,4,3,6,8] => [1,2,4,3,6,8,5,7] => [1,2,4,3,8,7,5,6] => [8,7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,4,6,1,5,2,3,8] => [1,5,2,3,8,4,6,7] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,4,2,6,3,5,8] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,6,3,8,5,4,2,7] => [1,6,2,7,3,8,4,5] => [1,7,4,8,5,3,2,6] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,7,3,5,4,2] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,3,6,5,4,2,8] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,3,1,6,5,4,2,8] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,2,3,6,5,1,4,8] => [1,4,8,2,3,6,5,7] => [1,4,2,6,8,7,5,3] => [8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[7,1,2,3,6,5,4,8] => [1,2,3,6,4,8,5,7] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,8,2,7,6,3,4] => [1,5,8,2,7,3,4,6] => [1,7,4,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,2,7,6,3,4] => [1,8,2,7,3,4,5,6] => [1,8,6,4,7,5,3,2] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,2,7,6,3,4,1] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,2,8,1,7,3,5,4] => [1,7,2,8,3,5,4,6] => [1,8,6,5,3,2,7,4] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,2,1,7,4,3,5] => [1,7,2,3,5,4,6,8] => [1,5,7,6,4,3,2,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,6,4,1,2,8,5,7] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,5,1,8,7,6,3,4] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,4,8,7,6,5,1,3] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,7,6,5] => [8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,8,7,1,4,2,6] => [1,4,2,6,3,5,8,7] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,3,8,4,1,7,6,2] => [1,7,2,3,8,4,5,6] => [1,8,6,4,3,2,7,5] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,7,6,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,2,8,7,6,5,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,1,8,7,6,5,3,2] => [1,8,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,8,7,6,5,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,3,1,8,7,2,5,4] => [1,8,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,3,8,7,6,2,4] => [1,3,8,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,5,3,8,7,6,2,4] => [1,5,2,4,3,8,6,7] => [1,4,5,3,2,8,7,6] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,1,8,4,7,2,6,3] => [1,8,2,6,3,4,7,5] => [1,6,4,7,8,5,3,2] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,4,6,1,2,3] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,3,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,4,3,1,8,7] => [1,8,2,4,3,5,6,7] => [1,4,8,7,6,5,3,2] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,1,2,4,3,8,7] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,8,7,4,6,2] => [1,8,2,3,5,4,6,7] => [1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,5,1,8,7,2,6,4] => [1,8,2,6,3,5,4,7] => [1,8,7,4,6,5,3,2] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,3,6,1,2,8,5,7] => [1,2,8,3,6,4,5,7] => [1,2,8,7,5,6,4,3] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,2,8,7,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,4,2,3,8,7,5] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,7,6,2,1,5] => [1,5,2,3,4,8,6,7] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,1,4,8,7,6,2,5] => [1,4,8,2,5,3,6,7] => [1,4,2,5,8,7,6,3] => [8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,7,6,5,1,2] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,3,4,8,7,6,2,5] => [1,3,4,8,2,5,6,7] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,4,8,7,6,2,5,1] => [1,2,5,3,4,8,6,7] => [1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,2,5,8,7,4,6,1] => [1,2,5,8,3,4,6,7] => [1,2,5,3,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[4,5,8,3,1,7,6,2] => [1,7,2,3,4,5,8,6] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,1,3,5,8,7,4,6] => [1,3,5,8,2,4,6,7] => [1,5,2,3,8,7,6,4] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,2,7,5,8,6,4,3] => [1,2,7,3,4,5,8,6] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,1,3,7,5,2,4] => [1,3,7,2,4,5,6,8] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[3,7,8,1,2,6,5,4] => [1,2,6,3,7,8,4,5] => [1,2,8,5,7,4,3,6] => [8,7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,3,7,8,1,6,5,4] => [1,6,2,3,7,8,4,5] => [1,8,5,7,4,3,2,6] => [8,1,4,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,7,8,1,3,6,5,4] => [1,3,6,2,7,8,4,5] => [1,8,5,7,4,2,3,6] => [8,1,4,2,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,1,2,6,7,5,3,4] => [1,2,6,7,3,4,5,8] => [1,2,7,5,3,6,4,8] => [8,7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,5,7,1,3,6,4] => [1,3,6,2,5,7,4,8] => [1,5,7,4,2,3,6,8] => [8,4,2,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,6,7,3,5,4] => [1,6,7,2,8,3,5,4] => [1,8,4,2,6,3,7,5] => [8,1,5,7,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,4,1,7,5,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,3,7,4,1,5,2] => [1,5,2,3,7,4,6,8] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,1,6,7,5,3,4] => [1,6,7,2,8,3,4,5] => [1,7,4,2,6,3,8,5] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,7,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,4,1,6,2] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,3,5,7,1,6,4] => [1,6,2,3,5,7,4,8] => [1,5,7,4,3,2,6,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,4,7,3,6,1,5] => [1,5,2,4,7,3,6,8] => [1,4,7,6,3,2,5,8] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,2,7,1,4,6,3,5] => [1,4,6,2,7,3,5,8] => [1,4,2,6,3,7,5,8] => [8,5,7,3,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,2,4,6,3,5] => [1,2,4,6,3,5,7,8] => [1,2,6,5,3,4,7,8] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,4,6,2,3,5] => [1,4,6,2,3,5,7,8] => [1,4,2,6,5,3,7,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,7,1,3,6,2,5] => [1,3,6,2,5,4,7,8] => [1,5,6,4,2,3,7,8] => [8,4,3,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,1,3,6,2,4] => [1,3,6,2,4,5,8,7] => [1,6,5,4,2,3,8,7] => [8,3,4,5,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,7,1,6,2,3] => [1,6,2,3,4,7,5,8] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,4,7,1,2,6,3] => [1,2,6,3,4,7,5,8] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,1,4,7,2,6,3] => [1,4,7,2,6,3,5,8] => [1,4,2,7,5,6,3,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,4,6,8,2,7,5,3] => [1,4,6,8,2,7,3,5] => [1,7,3,6,8,5,2,4] => [8,2,6,3,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,5,6,3,1,7,4,2] => [1,7,2,3,4,5,6,8] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,6,2,8,1,7,4,3] => [1,7,2,8,3,4,5,6] => [1,7,5,3,2,8,6,4] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,8,4,5,7,2,6,3] => [1,8,2,6,3,4,5,7] => [1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,3,6,1,2,4] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [8,7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,3,5,7,1,6,2,4] => [1,6,2,4,3,5,7,8] => [1,4,6,5,3,2,7,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[6,8,4,2,7,1,5,3] => [1,5,2,7,3,4,6,8] => [1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,6,4,7,3,1,5,2] => [1,5,2,3,4,7,6,8] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,4,5,7,3,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,1,3,4,6,2,5] => [1,3,4,6,2,5,7,8] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[2,8,4,5,7,1,6,3] => [1,6,2,8,3,4,5,7] => [1,8,7,5,3,2,6,4] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,3,4,5,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,4,5,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[5,8,7,2,3,6,1,4] => [1,4,2,3,6,5,8,7] => [1,4,3,2,6,5,8,7] => [8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,3,4,6,1,5] => [1,5,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[8,7,2,3,6,1,4,5] => [1,4,5,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
inverse first fundamental transformation
Description
Let σ=(i11⋯i1k1)⋯(iℓ1⋯iℓkℓ) be a permutation given by cycle notation such that every cycle starts with its maximal entry, and all cycles are ordered increasingly by these maximal entries.
Maps σ to the permutation [i11,…,i1k1,…,iℓ1,…,iℓkℓ] in one-line notation.
In other words, this map sends the maximal entries of the cycles to the left-to-right maxima, and the sequences between two left-to-right maxima are given by the cycles.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation σ of length n is the permutation τ with τ(i)=n+1−σ(i)
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let (c1,…,ck) be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are c1,c1+c2,…,c1+⋯+ck.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.